Answers
Answer:
(2). 26 (4). 547 (6). 3,132 (8). 46.1 (10). 10.6
Step-by-step explanation:
Related Questions
A clownfish costs $3.60 to buy. An angelfish costs $5.80 to buy. Joy spends $42.00 on some clownfish and some angelfish. She buys at least one of each. How many of each type does she buy? What if she had $52 to spend on fish? How many of each type did she buy?
Answers
Answer:
a) 6 angelfish, 2 clownfish
b) 4 angelfish, 8 clownfish
Step-by-step explanation:
There are at least a couple of different algorithms for finding integer solutions to problems like this. However, it is easiest to describe a trial-and-error solution.
Here, we have defined a function that tells us the number of clownfish we will get if we purchase some number of angelfish. When the function value is an integer, we have found a solution. We compute the value of the function for all reasonable numbers of angelfish.
a) The problem statement tells us the total purchase amount for "c" clownfish and "a" angelfish will be ...
3.60c +5.80a = 42.00
We are told that we must buy at least 1 of each kind of fish, so the most clownfish we can buy will be ...
3.60c +5.80×1 = 42.00
c = (42.00 -5.80)/3.60 = 10 1/18
And the most angelfish we can buy will be ...
3.60×1 +5.80a = 42.00
a = (42.00 -3.60)/5.80 = 6 18/29
Since we can buy fewer angelfish, a trial-and-error solution will look a the number of clownfish we can buy for each different purchase of angelfish.
We can write a function, similar to the equation for "c" above, that tells us the number of clownfish for x angelfish:
f(x) = (42 -5.80x)/3.60
We want to find the value of x that results in an integer number of clownfish. The attached table shows us that purchase of 6 angelfish will allow purchase of 2 clownfish for $42.
__
b) Using the same idea, we can repeat the process for a total purchase of $52. The attached table tells us the solution is a purchase of 4 angelfish and 8 clownfish for $52.
On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (negative 6, 10), has a vertex at (negative 4, 6), and goes through (negative 2, 10).
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x – 4)2 + 6
g(x) = (x + 6)2 – 4
g(x) = (x – 6)2 – 4
g(x) = (x + 4)2 + 6
Answers
Answer:
[tex]y = (x+4)^{2}+6[/tex]
Step-by-step explanation:
The parabola with vertex at point (h,k) is described by the following model:
[tex]y - k = C\cdot (x-h)^{2}[/tex]
The equation which satisfies the conditions described above:
[tex]y - 6 = (x+4)^{2}[/tex]
[tex]y = (x+4)^{2}+6[/tex]
The two points are evaluated herein:
x = -6
[tex]y =(-6+4)^{2}+6[/tex]
[tex]y = (-2)^{2}+6[/tex]
[tex]y = 4 + 6[/tex]
[tex]y = 10[/tex]
x = -2
[tex]y = (-2+4)^{2}+6[/tex]
[tex]y = 2^{2} + 6[/tex]
[tex]y = 4 + 6[/tex]
[tex]y = 10[/tex]
The equation of the translated function is [tex]y = (x+4)^{2}+6[/tex].
A swimming school claimed that the average seven-year-old would be able to swim across an Olympic-sized pool in less than 120 seconds after taking lessons from their instructors. To test this claim, a consumer psychologist arranged for eight randomly selected seven-year-old children to take lessons at the school and recorded how long it took each child to swim across a pool at the end of the lessons.
The times (in seconds) were 60, 120, 110, 80, 70, 90, 100, and 130.
What conclusion would the psychologist draw following a t test for a single sample using 120 seconds as the "known" population mean and the .05 significance level? 13 points) across an
a. Sample mean:
b. Sample sum of squares:
c. Degrees of freedom:
d. The estimated population variance:
Answers
Answer:
Step-by-step explanation:
The mean of the set of data given is
Mean = (60 + 120 + 110 + 80 + 70 + 90 + 100 + 130)/8 = 95
Standard deviation = √(summation(x - mean)/n
n = 8
Summation(x - mean) = (60 - 95)^2 + (120 - 95)^2 + (110 - 95)^2 + (80 - 95)^2 + (70 - 95)^2 + (90 - 95)^2 + (100 - 95)^2 + (130 - 95)^2 = 4200
Standard deviation = √(4200/8) = 22.91
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ ≤ 120
For the alternative hypothesis,
µ > 120
This is a right tailed test.
Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.
Since n = 8,
Degrees of freedom, df = n - 1 = 8 - 1 = 7
t = (x - µ)/(s/√n)
Where
x = sample mean = 95
µ = population mean = 120
s = samples standard deviation = 22.91
t = (95 - 120)/(22.91/√8) = - 3.09
We would determine the p value using the t test calculator. It becomes
p = 0.009
Since alpha, 0.05 > than the p value, 0.009, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average seven-year-old would be able to swim across an Olympic-sized pool in more than 120 seconds after taking lessons from their instructors.
Using the one - sample t test, we can conclude that average 7year old will swim in less than 120 hours
Given the data :
60, 120, 110, 80, 70, 90, 100, and 130. Sample size, n = 8Using calculator :
Mean = ΣX/n = 760/8 = 95Standard deviation = 24.49The degree of freedom :
df = n - 1 df = 8 - 1 = 7The hypothesis :
[tex]H_{0} : μ > 120 [/tex]
[tex]H_{1} : μ ≤ 120 [/tex]
From the equality sign in the alternative hypothesis, we have a left-tailed test
Test statistic :
[tex] \frac{x - μ}{\frac{s}{\sqrt{n}}} [/tex]
Inputting the values :
[tex] \frac{95 - 120}{\frac{24.49}{\sqrt{8}}} [/tex]
[tex] \frac{-25}{8.658} = - 2.887 [/tex]
Calculating the P-value :
α = 0.05 ; df = 7 ;Pvalue = 0.012
Decison Region :
Reject Null if Pvalue is < αSince 0.012 < 0.05 ; we reject [tex]H_{0} [/tex] and conclude that average 7year old will swim in less than 120 hours.
Learn more : https://brainly.com/question/16314496
2 qurstions 100 points
1- What is the Molarity of 1.25 moles of NaOH in 250 mL of
water?
2- How do you dilute a 20 mL of a 5Molar solution to 0.5 Molar solution
Answers
Answer:
1). 1.25 / 250 = .005M
.005 = 1 liter
2). (20)(.5) = 10M
have a good day, and be safe
∵∴∵∴∵∴∵∴∵
⊕ΘΞΠΤ⊕
∵∴∵∴∵∴∵∴∵
Find the 91st term of the arithmetic sequence 4,6,8
Answers
Answer:
184
Step-by-step explanation:
Find the common difference first d = 6 - 4 = 2
first term a_1 = 4
a_n = (n -1)*d + a_1
a_91 = (91 - 1) * 2 + 4
a_91 is the 91st term:
a_91 = 90*2 + 4
a_91 = 180 + 4 = 184
The 91st term of the arithmetic sequence 4,6,8 is 184.
Explanation:
The question requires us to find the 91st term of the arithmetic sequence 4,6,8. In an arithmetic sequence, each term is equal to the previous term plus a constant difference. In this case, the common difference is 2 (6-4 or 8-6).
To find the 91st term of an arithmetic sequence, we use the formula a + (n-1)d, where a is the first term, n is the term number, and d is the common difference. Plugging in the values, we get: 4 + (91-1) * 2 = 4 + 180 = 184. So, the 91st term in the sequence is 184.
Learn more about Arithmetic Sequence here:https://brainly.com/question/32830972
#SPJ2
The resultant vector from the cross product of two vectors is _____________ a) perpendicular to any one of the two vectors involved in cross product
b) perpendicular to the plane containing both vectors
c) parallel to to any one of the two vectors involved in cross product
d) parallel to the plane containing both vectors
Answers
Answer:
b) perpendicular to the plane containing both vectors
Step-by-step explanation:
The cross product is perpendicular to both contributing vectors. Consequently, it is perpendicular to the plane containing them.
The cross product of two vectors results in a vector that is perpendicular to the plane containing both input vectors. This is a key principle in vector physics.
Explanation:The resultant vector from the cross product of two vectors is perpendicular to the plane containing both vectors involved in the cross product. This is a fundamental principle in vector physics. To further illustrate, if you have two vectors A and B, and you perform a cross product, the resulting vector, often denoted as AxB, will be a vector perpendicular (or orthogonal) to the plane containing vectors A and B. Therefore, the correct option is 'b'.
Learn more about Cross Product of Vectors here:https://brainly.com/question/35689491
#SPJ12
At 400 miles per hour, how far can an airplane fly in 2 1/2 hours?
A. 600 miles
B.800 miles
C.650 MILES
D.1000 miles
E. None correct
Answers
Answer:
D. 1000 miles
Step-by-step explanation:
400 x 2.5 = 1000
(15 pt., 5 pt. each) A player in the Powerball lottery picks five different integers between 1 and 69, inclusive, and a sixth integer between 1 and 26, inclusive, which may duplicate one of the earlier five integers. The player wins the jackpot (currently $43 million) if the first five numbers picked match the first five numbers drawn (in any order) and the sixth number picked matches the sixth number drawn. a. What is the probability that a player wins the jackpot
Answers
Answer:
The probability that a player wins the jackpot is [tex]\frac{1}{292201338}[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the first five numbers are selected is not important, so we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
First five numbers:
Desired:
5 correct numbers, from a set of 5. So
[tex]D = C_{5,5} = \frac{5!}{5!(5-5)!} = 1[/tex]
Total:
5 numbers from a set of 69. So
[tex]T = C_{69,5} = \frac{69!}{5!(69-5)!} = 11238513[/tex]
Probability:
[tex]P_{5} = \frac{D}{T} = \frac{1}{11238513}[/tex]
-------------
Sixth number:
1 from a set of 26
Then
[tex]P_{6} = \frac{1}{26}[/tex]
-------------
Probability of winning the prize
[tex]P = P_{5} \times P_{6} = \frac{1}{11238513} \times \frac{1}{26} = \frac{1}{292201338}[/tex]
The probability that a player wins the jackpot is [tex]\frac{1}{292201338}[/tex]
To calculate the probability of winning the jackpot in the Powerball lottery, we need to consider the probability of choosing the first five numbers correctly and the probability of choosing the sixth number correctly. Multiply the probabilities from these two steps to find the overall probability.
Explanation:To calculate the probability of winning the jackpot in the Powerball lottery, we need to consider two parts: the probability of choosing the first five numbers correctly (regardless of order) and the probability of choosing the sixth number correctly.
The probability of choosing the first five numbers correctly is given by:The probability of choosing the sixth number correctly is simply 1 out of 26, since the player can pick any number between 1 and 26, inclusive.To find the overall probability, we multiply the probabilities from the two steps:
P(winning jackpot) = P(choosing first five numbers correctly) x P(choosing sixth number correctly) = [P(choosing one number correctly)]^5 x P(choosing one number correctly) = (5/69)^5 x 1/26
Calculating this expression gives us the probability of winning the jackpot in the Powerball lottery.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ12
If the original quantity is 20 and the new quantity is 18, what is the percent decrease?
Answers
Answer:
10%
Step-by-step explanation:
There are many different ways but I did 18 divided by 20 and got 0.9. I did 1 - 0.9 to get 0.1, which is 10%
Determine the approximate value of x.
a.
b.
2.13
3.53
c. 4.39
d. 7.52
Answers
We have been given a right triangle. We are asked to find the value of x.
We can see that x is opposite side to angle that measures 62 degrees and adjacent side to angle is 4 units.
We know that tangent relates adjacent and opposite side of right triangle.
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{tan}(62^{\circ})=\frac{x}{4}[/tex]
[tex]4\cdot \text{tan}(62^{\circ})=\frac{x}{4}\cdot 4[/tex]
[tex]4\cdot (1.880726465346)=x[/tex]
[tex]7.522905861384=x[/tex]
[tex]x=7.522905861384[/tex]
[tex]x\approx 7.52[/tex]
Therefore, the value of x is approximately 7.52 units and option 'd' is the correct choice.
The set {5, 6, 8, 9, 10} is part of a solution set for which inequality?
A. c+14<24
B. c+18≥24
C. c+18>24
D. c+14≤24
please help
Answers
Answer:
D. c+14 ≤ 24
Step-by-step explanation:
The solutions for these inequalities are ...
A. c < 10 -- does not include the value 10
B. c ≥ 6 -- does not include the value 5
C. c > 6 -- does not include the values 5 or 6
D. c ≤ 10 -- includes all of the values listed
The set given is part of the solution set of ...
c +14 ≤ 24
A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes 6 hours and 24 minutes, but when there is a wind blowing from Penthaven to Jackson at 50 miles per hour, the trip takes 6 hours and 40 minutes. How many miles is the distance from Penthaven to Jackson?
(Assume that the plane flies at a constant speed, and that the turnaround time is negligible.)
Answers
Answer:800 miles
Step-by-step explanation:
Given
Round trip for Penthaven to Jackson takes 6 hr and 24 minutes in absence of wind
[tex]t_1=6+\frac{24}{60}=6.4\ hr[/tex]
When Wind blows from Penthaven to Jackson it takes 6 hr and 40 min i.e.
[tex]t_2=6+\frac{40}{60}=\frac{20}{3}\ hr[/tex]
Speed of wind [tex]v=50\ mph[/tex]
Suppose x be the distance between Penthaven and Jackson and u be the speed of plane
So initially
[tex]6.4=\frac{x}{u}+\frac{x}{u}[/tex]
[tex]6.4=\frac{2x}{u}[/tex]
[tex]x=3.2u \quad \ldots(i)[/tex]
When wind is blowing then,
[tex]\Rightarrow \frac{20}{3}=\frac{x}{u+v}+\frac{x}{u-v}[/tex]
[tex]\Rightarrow \frac{20}{3}=x[\frac{1}{u+50}+\frac{1}{u-50}][/tex]
[tex]\Rightarrow \frac{20}{3}=x[\frac{2u}{u^2-50^2}]\quad \ldots(ii)[/tex]
Substitute the value of x in [tex](ii)[/tex]
[tex]\Rightarrow \frac{20}{3}=\frac{2u[3.2u]}{u^2-50^2}[/tex]
[tex]\Rightarrow 10[u^2-50^2]=9.6u^2[/tex]
[tex]\Rightarrow 0.4u^2=50^2\times 10[/tex]
[tex]\Rightarrow u^2=\frac{50^2\times 10^2}{4}[/tex]
[tex]\Rightarrow u=250\ mph[/tex]
Thus [tex]x=3.2\times 250=800\ miles[/tex]
How many treaspoons are in 20mls
Answers
There are 4 teaspoons in 20 mils. I just learned this in class.
-Dhruva;)
Answer:
4.05768 or 4
Step-by-step explanation:
There are 0.202884 teaspoon in a millilitre. If you multiply 0.202884 by 20, you 4.05768.
I am 100% sure (:
Can i pls have brainliest?
-ME
Each costume for a dance group in a talent show requires 2 yards of black material and 3 yards of red material. The dance group has 30 yards of black material and 60 yards of red material. What is the greatest number of costumes they can make? Please explain the steps
Answers
Answer:
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
30 / 2 = 15
60 / 3 = 20
if we try both numbers to see if the limit is ever crossed, that is the case only with 20
15 is the maximum amount of costumes
Giving brainliest for CORRECT awnser.
Answers
Answer:
C. F(x) = x²
Step-by-step explanation:
"Quadratic" means "second degree". The only function with an exponent of 2 is choice C.
7. There are seven clarinet players in the concert band. In how
many ways can they be seated in seven chairs at a concert?
Use the Fundamental Counting Principle.
A. 5,040
C. 840
B. 2,520
D. 210
Answers
Answer:
Step-by-step explanation:
The number of people in the cabinet is 7.
n = 7.
Fundamental Counting Principle states that if there are m ways of doing a thing and there are n ways of doing other thing then there are total m*n ways of doing both things.
now using fundamental Counting Principle.
since 7 players can sit on chair in
7 , 6, 5 , 4, 3 , 2, 1 ways then together they can be seated in
7 * 6 * 5 * 4 * 3 * 2 * 1 ways = 5,040 ways.
To arrange this seven people in a straight cabinet, the number of way to arrange them is n!
Then,
n! = 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040.
There are 5040 ways of arranging them.
Option A is correct.
what is the simplest form of this expression? m(m+4)+m(m-2)
Answers
Answer:
First by expansion,
mxm +mx4 + mxm + mx(-2)
=m^2 +4m + m^2 - 2m
= 2m^2 + 2m
Note: ^2 means square
Step-by-step explanation:
The face of a cube has a surface area of 9cm2
Answers
Answer:
D
Step-by-step explanation:
Because 9cm2 is 9 times 9 which equals 81 cm.
To find the length of one side of a cube with a surface area of 9 cm², set up the equation s² * 6 = 9. Simplify and solve for s to find that the length of one side is √(9/6) cm.
Explanation:The question is asking about the surface area of a cube. The surface area of a cube can be found by multiplying the length of one side by itself, and then multiplying that result by 6 since a cube has 6 faces. So, if the surface area of a cube is 9 cm², you can set up the equation: 9 = s² * 6. Simplifying, you get s² = 9/6. Taking the square root of both sides, you find that s = √(9/6). Therefore, the length of one side of the cube is √(9/6) cm.
Learn more about surface area of a cube here:https://brainly.com/question/33247275
#SPJ2
Helpppppppppppppppppp
Answers
Since the base is 4, 4 is the number being multiplied.
The exponent is 5, so 4 is multiplied by itself 5 times
Answer:
4*4*4*4*4
Step-by-step explanation:
Exponents are written as
b^x
where b is the base, and x is the number of times the base is being multiplied
We have
4^5
Therefore, 4 is the base, and it is being multiplied 5 times.
If we are to write it out, we have:
4*4*4*4*4
Therefore, the correct choice is B
help me find the function pls
Answers
Answer:
see below
Step-by-step explanation:
The tangent function has been shifted upward by 2 units, but there has been no horizontal scaling. Any horizontal offset must be equal to some number of whole periods.
Choices A and B show tan( )+2, the correct vertical offset. However, choice A has a horizontal scale factor of 2. The correct choice is B, which has no horizontal scaling (the coefficient of x is 1) and a horizontal offset of π, one full period.
_____
Comment on horizontal scaling
Horizontal scaling is different from vertical scaling in that using k·x in place of x compresses the graph horizontally by a factor of k. On the other hand, using k·f(x) in place of f(x) expands the graph vertically by a factor of k.
Round $6.4442 to the nearest cent.
Answers
Answer:
6.40
Step-by-step explanation:
Find the number in the tenth place (the first 4) and look one place to the right for the rounding digit (the second 4).
Round up if this number is greater than or equal to 5
and round down if it is less than 5.
4 is less than five, therefore should be rounded down.
Answer:
6.44
Step-by-step explanation:
The nearest cent is the hundredths place (or two decimals)
6.4442 rounds to 6.44
The next number is less than 5 so we leave the hundredths place alone.
Lauren makes bracelets using small beads. She uses
60 beads for each bracelet. How many beads does
Lauren need to make 7 bracelets?
A 42 beads
C 420 beads
B 67 beads
D 670 beads
Answers
Answer:
420
Step-by-step explanation:
She uses 60 beads per bracelet and is making 7 bracelets
7*60 = 420 beads total
you are allowed to work a total of no more than 30 hours each week at your two jobs. Lawn mowing pays $5 per hour and babysitting pays $8 per hour. You need to earn at least $300 per week. You decide to write a system of inequalities to help determine the amount of time you can work at each job, where x represents the number of hours you mow lawns y represents the number of hours you babysit. You write the first inequality as x+y<30. Write the second inequality you would use for this system .
Answers
Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
5(30 - Y) + 8Y >=300
150 - 5Y + 8Y >= 300
3Y >=150
Y >=50
then X < -20
intersection at (-20, 50)
Answer:
Step-by-step explanation:
5x+8y > 300
_
Beth writes a number that shows 60 parts out of 100. Select all that could be Beth's number
Answers
Beth's number, which indicates 60 parts out of 100, can be expressed as 60%, 0.60, 60/100, or in simplest form, 3/5. These representations are commonly used in mathematics to show percentages and their equivalent values.
Beth writes a number that shows 60 parts out of 100. In mathematics, expressing a part out of 100 is essentially describing a percentage. So, Beth's number could be expressed in several ways that all represent 60 out of 100. The simplest form would be 60%, which directly translates to 60 per 100. Another possible representation could be 0.60, which is the decimal form equivalent to 60%. If we were to convert this percentage into a fraction, it would be
60/100, which can also be simplified to
3/5. It cannot be a number such as N(60, 5.477) which suggests a normal distribution with a mean of 60 and a standard deviation of 5.477, nor can it be .9990 which is not equivalent to 60 parts out of 100 in any common mathematical representation.
If y varies directly as x and y=8 when x=3 what is the value of y when x=9?
A 8/3
B 27/8
C 14
D 24
Answers
Answer:
24
Step-by-step explanation:
y=24 when x=3 because you * 3*3=9 so you do 8*3=24 which you your answer
The value of y when x = 9 such that the y varies directly with respect to x is 24 therefore, option (D) will be correct.
What are the ratio and proportion?Proportion is the relation of a variable with another. It could be direct or inverse.
The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
As per the given question,
y varies directly as x
y ∝ x
Removing proportion y = kx
Given that,y=8 when x=3
So, k = 8/3
Therefore, relation converts as, y = (8/3)x
At x = 9 → y = (8/3)9 = 24
Hence "The value of y when x = 9 such that the y varies directly with respect to x is 24".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ6
A Ferris wheel has a diameter of 40 feet. What is its circumference?
Round to the nearest tenth. Use 3.14 for .
Answers
Answer:125.6 feet
Step-by-step explanation:
diameter=40 feet
π=3.14
Circumference= π x diameter
Circumference=3.14 x 40
Circumference=125.6
Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of a bluefish is 264 millimeters with a standard deviation of 57mm. For pompano, the mean is 157mm with a standard deviation of 28mm.
Stewart caught a bluefish that was 283mm long, and Gina caught a pompano that was 152mm long. Who caught the longer fish, relative to fish of the same species?
Answers
Answer:
Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Who caught the longer fish, relative to fish of the same species?
Whosoever fish's had the higher z-score.
Stewart caught a bluefish that was 283mm
The mean length of a bluefish is 264 millimeters with a standard deviation of 57mm.
So we have to find Z when [tex]X = 283, \mu = 264, \sigma = 57[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{283 - 264}{57}[/tex]
[tex]Z = 0.33[/tex]
Gina caught a pompano that was 152mm long.
For pompano, the mean is 157mm with a standard deviation of 28mm.
So we have to find Z when [tex]X = 152, \mu = 157, \sigma = 28[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{152 - 157}{28}[/tex]
[tex]Z = -0.18[/tex]
Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species
The correct answer is Stewart caught the longer fish relative to fish of the same species.
To determine who caught the longer fish relative to the average length of their respective species, we need to calculate the z-scores for both Stewart's bluefish and Gina's pompano. The z-score is a measure of how many standard deviations an observation is above or below the mean.
For Stewart's bluefish:
The mean length of a bluefish is 264 mm, and the standard deviation is 57 mm. Stewart's bluefish is 283 mm long. To find the z-score for Stewart's bluefish, we use the formula:
[tex]\[ z = \frac{X - \mu}{\sigma} \][/tex]
where X is the observed value, [tex]\( \mu \)[/tex] is the mean, and [tex]\( \sigma \)[/tex] is the standard deviation. Plugging in the values for Stewart's bluefish:
[tex]\[ z_{Stewart} = \frac{283 - 264}{57} \] \[ z_{Stewart} = \frac{19}{57} \] \[ z_{Stewart} \approx 0.333 \][/tex]
For Gina's pompano:
The mean length of a pompano is 157 mm, and the standard deviation is 28 mm. Gina's pompano is 152 mm long. To find the z-score for Gina's pompano:
[tex]\[ z = \frac{X - \mu}{\sigma} \] \[ z_{Gina} = \frac{152 - 157}{28} \] \[ z_{Gina} = \frac{-5}{28} \] \[ z_{Gina} \approx -0.179 \][/tex]
Comparing the z-scores:
Stewart's z-score is approximately 0.333, which means his bluefish is 0.333 standard deviations longer than the average bluefish. Gina's z-score is approximately -0.179, which means her pompano is 0.179 standard deviations shorter than the average pompano.
Since Stewart's z-score is positive and larger in magnitude than Gina's negative z-score, Stewart's bluefish is longer relative to its species than Gina's pompano is relative to its species. Therefore, Stewart caught the longer fish relative to fish of the same species.
I don't undestand how to solve this problem
Answers
Answer:
Volume = 20
Step-by-step explanation:
To find volume of the shape you split the shape into two shapes: A triangle or pyramid and a rectangle
The volujme of a rectangle is W x L x H
A = 2 x 5 x 8
A = 80
The volume of a pyramid is
A = [tex]\frac{1}{2}[/tex]Bh The B is the area of the base so B = L x W = 5 x 2 = 10 so B = 10
A = [tex]\frac{1}{2}[/tex] 10 x 4
A = [tex]\frac{1}{2}[/tex] 40
A = 20
In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the following data have been gathered. Downtown Store North Mall Store Sample size 25 20 Sample mean $9 $8 Sample standard deviation $2 $1 Refer to Exhibit 10-7. A 95% interval estimate for the difference between the two population means is
Answers
Answer:
[tex] (9-8) -2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 0.0743[/tex]
[tex] (9-8) +2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 1.926[/tex]
And we are 9% confidence that the true mean for the difference of the population means is given by:
[tex] 0.0743 \leq \mu_1 -\mu_2 \leq 1.926[/tex]
Step-by-step explanation:
For this problem we have the following data given:
[tex]\bar X_1 = 9[/tex] represent the sample mean for one of the departments
[tex]\bar X_2 = 8[/tex] represent the sample mean for the other department
[tex]n_1 = 25[/tex] represent the sample size for the first group
[tex]n_2 = 20[/tex] represent the sample size for the second group
[tex]s_1 = 2[/tex] represent the deviation for the first group
[tex]s_2 =1[/tex] represent the deviation for the second group
Confidence interval
The confidence interval for the difference in the true means is given by:
[tex] (\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}[/tex]
The confidence given is 95% or 9.5, then the significance level is [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The degrees of freedom are given by:
[tex] df=n_1 +n_2 -2= 20+25-2= 43[/tex]
And the critical value for this case is [tex] t_{\alpha/2}=2.02[/tex]
And replacing we got:
[tex] (9-8) -2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 0.0743[/tex]
[tex] (9-8) +2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 1.926[/tex]
And we are 9% confidence that the true mean for the difference of the population means is given by:
[tex] 0.0743 \leq \mu_1 -\mu_2 \leq 1.926[/tex]
PLEASE HELP ASAP
Jessica brings her friends to a party. There are 40 people attending. Jessica brings 2 friends there. How many people are at the party without Jessica and her friends?
a. 37
b. 38
c. 40
d. 3
Answers
Answer:
a. 37
Step-by-step explanation:
"Jessica brings her friends to a party. There are 40 people attending. Jessica brings 2 friends there. How many people are at the party without Jessica and her friends?
"
40 total minus Jessica and her friends = 37
Hope this helps!
Answer:
C.) 37 I think
Step-by-step explanation:
SoRrY i'M nOt sMaRt. But i think it's 37 and then minus her and her 2 friends means:
[tex]40-3=37:)[/tex]