Answer: 13.5 % would be the answer
To estimate the probability of a meerkat living between 12.3 and 14.2 years, we can use the empirical rule (68-95-99.7%).
Explanation:The probability of a meerkat living between 12.3 and 14.2 years can be estimated using the empirical rule (68-95-99.7%).
First, calculate the z-scores for the given values using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. For 12.3 years:z = (12.3 - 10.4) / 1.9 = 0.947For 14.2 years:z = (14.2 - 10.4) / 1.9 = 2.000Next, use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.
The probability of a meerkat living less than 12.3 years is the same as the probability of a z-score less than 0.947.The probability of a meerkat living less than or equal to 14.2 years is the same as the probability of a z-score less than or equal to 2.000.Finally, subtract the probability of the lower value from the probability of the higher value to find the probability of a meerkat living between 12.3 and 14.2 years.
Given CS = 3, SB = 6, CR = 4, and RA = x. What must the value of x be in order to prove SR II BA? Justify your answer.
UPLOAT
Answer:
4, because CR and RA are the same length
Answer:
Just cross muiltiply
Step-by-step explanation:
3 4
- - = 8 (POP Theorem)
6 x
Converse of Theorem 5-6: If a line divides two sides of a triangle proportionally, it is parallel to the third side.
You're welcome Ody$$eyware
Explain how to find the constant of proportionality for the ratio of robins to cardinals. A 2-column table with 4 rows. Column1 is labeled Cardinals with entries 5, 6, 9, 10. Column 2 is labeled Robins with entries 15, 18, 27, 30.
Answer:
Divide the number of robins by the number of cardinals for each pair of values. The ratios are the same and are a constant of proportionality of 3.
Answer :
Divide the number of robins by the number of cardinals for each pair of values. The ratios are the same and are a constant of proportionality of 3.
KEEP IN MIND THIS IS A SAMPLE RESPONSE!
Please help the question is attached
chapter 8 q 2
Answer:
x = 15
Step-by-step explanation:
Let the x represents altitude.
Therefore, by geometric mean property:
[tex]x = \sqrt{9 \times 25} \\ x= 3 \times 5 \\ x = 15[/tex]
how do you read 0.034 out loud
Answer:
Zero and thirty four thousandths
Step-by-step explanation:
What is 5(x-6)+2=7x-6
Answer:
x = -11
Step-by-step explanation:
[tex]5(x-6)+2 = 7x-6\\5x -30 +2 = 7x - 6\\5x -28 = 7x -6 \\5x - 28 + 6 = 7x -6 +6 \\5x -22 = 7x\\5x -5x -22 = 7x - 5x\\-22 = 2x\\-22 / 2 = 2x / 2\\-11 = x[/tex]
Joel needs 785 tickets to get the prize he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
Answer:14
Step-by-step explanation:
Final answer:
Joel must play at least 15 games to earn the remaining 501 tickets he needs for the prize at the arcade, after subtracting the 284 tickets he already has from the total 785 required.
Explanation:
Joel needs to accumulate a certain number of tickets to win a prize at the arcade. We can approach this problem by calculating the total number of tickets he still needs and then dividing that number by the amount of tickets he can earn per game.
Step-by-Step Calculation:
First, find out how many tickets Joel is short of the prize by subtracting the tickets he already has from the total number of tickets needed: 785 - 284.Second, calculate how many games he needs to play by taking the remaining number of tickets and dividing it by the number of tickets he earns per game, which is 35.Let's execute these steps:
Joel needs 785 tickets and has 284 tickets. So, the number of tickets he still needs is 785 - 284 = 501 tickets.To find out how many games he needs to play, we divide the tickets he needs by tickets per game: 501 / 35. This gives us approximately 14.31, which means Joel needs to play at least 15 games to earn enough tickets, since he cannot play a fraction of a game.what is the value of sin C?
Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van. The equation 2b + 6 = 70 represents the given scenario. What does b represent? the number of buses the number of vans the number of students who rode on each bus the total number of students going to the football game
Answer:
C. the number of students who rode on each bus.
Step-by-step explanation:
Answer:
C.the number of students who rode on each bus
On a recent trip to the convenience store, you picked up 4 gallons of milk, 6 bottles of water and 5 snack size bags of chips. You total bill before tax was $ 27.2. If a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.80 more than a bottle of water, how much does each item cost
How much does a snack size bag of chips cost?
How much does a bottle of water cost?
How much does a gallon of milk cost?
Answer:
Cost of a snack size bag of chips = $0.8
Cost of a water bottle = $1.6
Cost of a gallon of milk = $3.4
Step-by-step explanation:
Let the cost of water bottle = $a
Cost of 1 gallon milk = $b
and cost of 1 bag of chips = $c
So, cost of 4 gallons of milk, 6 bottles of water and 5 bags of chips = $(4b + 6a + 5c)
4b + 6a + 5c = 27.2 -----(1)
Cost of one water bottle = 2 × cost of one bag of chips
a = 2c -----(2)
A gallon of milk = cost of water bottle + $1.80
b = a + 1.8
From equation (2)
b = 2c + 1.8 -----(3)
Now we substitute these values from equations (2) and (3) in equation (1)
4(2c + 1.8) + 6(2c) + 5c = 27.2
8c + 7.2 + 12c + 5c = 27.2
25c = 27.2 - 7.2
c = [tex]\frac{20}{25}[/tex]
c = $0.8
From equation (2)
a = 2×0.8
a = $1.6
From equation (3)
b = 2(0.8) + 1.8
b = 1.6 + 1.8
b = $3.4
Therefore, cost of a snack size bag of chips = $0.8
Cost of a water bottle = $1.6
Cost of a gallon of milk = $3.4
Final answer:
A snack size bag of chips costs $0.80, a bottle of water costs $1.60, and a gallon of milk costs $3.40. This was determined by creating an equation with the given cost relationships and solving for the cost of each item.
Explanation:
The question presents a scenario where a trip to the convenience store involves purchasing 4 gallons of milk, 6 bottles of water, and 5 snack size bags of chips with a total bill of $27.20 before tax. The cost relationships given are: a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.80 more than a bottle of water.
Let's denote the cost of a snack size bag of chips as c. Thus, the cost of a bottle of water would be 2c. A gallon of milk would then cost 2c + $1.80.
To find the cost of each item, we can set up an equation based on the total cost:
5c + 6(2c) + 4(2c + $1.80) = $27.20
Solving this equation:
5c + 12c + 8c + $7.20 = $27.20
25c + $7.20 = $27.20
25c = $20
c = $0.80
Therefore, a snack size bag of chips costs $0.80, a bottle of water costs $1.60, and a gallon of milk costs $3.40.
what is consecutive whole numbers? I have to write an algebraic expression for the sum of three consecutive whole numbers... :(
Answer:
Consecutive whole numbers (or integers) are numbers that directly follow one another.
Eg: 1, 2, 3, 4, 5 are consecutive whole numbers.
Step-by-step explanation:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108.
or
let the three consecutive whole numbers is x, x+1,and x+2
x + x+1 + x+2 = 4+2(x+1)
3x+3=4+2x+2
3x-2x=6-3
x=3
the other two numbers are 3+1=4,and 3+2=5
so the three numbers are 3,4 and 5
Find the value of csc theta, if cos =-3/5; 90 degrees < theta < 180 degrees
Answer:[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Given
[tex]\cos \theta =\frac{-3}{5}[/tex]
and [tex]\theta [/tex] lies between
[tex]90^{\circ}<\theta <180^{\circ}[/tex]
and for this [tex]\theta[/tex],[tex]\sin[/tex] and [tex]\text{cosec}[/tex] is Positive as they lie in 2 nd Quadrant
[tex]\sin ^2\theta +\cos ^2\theta =1[/tex]
[tex]\sin ^2\theta =1-(\frac{-3}{5})^2[/tex]
[tex]\sin ^2\theta =1-\frac{9}{25}[/tex]
[tex]\sin ^2\theta =\frac{16}{25}[/tex]
[tex]\sin \theta =\frac{4}{5}[/tex]
[tex]\therefore \text{cosec}\ \theta =\frac{5}{4}[/tex]
A sociologists was investigating the ages of grandparents of high school students. From a random sample of 10high school students, the sociologist collected data on the current ages, in years, of the students' maternal grandparents. A. One of the sociologist's research questions was about the mean difference in age without regard to which grandparent is older. The interval constructed in part (a) does not address such a question. Based on the sample of high school students, give the value of the point estimate for the mean difference in age that could be used to address the sociologist's question.
Answer:
The answer for (a)(-5.96, 2.36) (b) -1.8, since the difference is negative, it can be said or determined that the age of the grandfather is older
Step-by-step explanation:
Solution
(a) From the information given,
n = 10, d =-1.8, sd = 5.81
The 95% confidence interval for the population mean difference age is computed as follows:
CI =d ±tα/2,n-1 (sd/√n)
= -1.8±t₀.₀₅/₂,₁₀₋₁ (5.81/√10)
=-1.8± 2.26 (1.84)
= -1.8 ± 4.16
= (-5.96, 2.36)
Now,
There is a 95% confidence that the mean difference in age of maternal grand parents of high school students lies between - 5.96 and 2.36
(b) The age difference is calculated as the age of grand mother minus age of grand father. the point of estimate for the mean difference is as follows:
Xd = XGM - XGF
= 69.8 -71.6
=-1.8
Therefore, since the difference is negative, it can be said or determined that the age of the grandfather is older
Note: kindly find an attached copy of the complete question and table to this example below.
The mean difference in age between grandparents is calculated by taking the absolute differences between the ages of each pair of grandparents from the sample of students and then averaging those differences.
Explanation:The sociologist's research question about the mean difference in age of grandparents without regard to which one is older requires calculating the absolute difference between the ages of each pair of maternal grandparents for the sample of high school students and then taking the average of those differences. To provide a point estimate for the mean difference in age to address the sociologist's question, let us assume we have the ages of each pair of grandparents for the 10 students. If we denote these age pairs as (G11, G21), (G12, G22), ..., (G110, G210), where G1 and G2 are the ages of the two grandparents for each student, the mean difference in age would be the sum of the absolute differences of these pairs divided by the number of pairs (10 in this case).
Mean Difference = (|G11 - G21| + |G12 - G22| + ... + |G110 - G210|) / 10
Without the actual data, we cannot provide a numerical point estimate, but this is the method that would be used to calculate it.
how to find volume of 3d objects
Answer:
length x width x height
Step-by-step explanation:
Answer:
Hope this helped stay safe!!
Step-by-step explanation:
To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.
What is the first step in solving the following system of equations? 3 x + y = 23. 8 x + 2 y = 23. Substitute the value of y from one equation into the other equation. Solve the first equation for y. Subtract the second equation from the first equation. Substitute the value of x from one equation into the other equation.
Answer:
B
Step-by-step explanation:
Our system of equations is:
3x + y = 23
8x + 2y = 23
If we want to use substitution, that means that we essentially want to manipulate one of the two equations so that one variable (like y) is written in terms of the other (like x), and then substitute that expression into the second equation so that we have one variable and one equation and we can easily solve from there.
So the first thing to be done is to write one of the variables in terms of the other. It would be easiest to do it with the first equation and write y in terms of x - in other words, "solve the first equation for y".
The answer is B.
Answer:
B
Step-by-step explanation:
Solve the first equation for y.
Is this an expression or an equation?
32 + 8(4)
expression
equation
It is an expression, as an equation has an equal sign on it.
This has no equality property, therefore it is an expression.
How many 350 mL cans of coke can be filled from a 20.3 L tank of coke?
Answer:
x = 58
Step-by-step explanation:
We know that,
1 mL = 0.001 L
So, 350 mL = 0.35 L
Let x cans of coke can be filled from a 20.3 L tank of coke. So,
Accoding to question,
[tex]0.35\times x =20.3\\\\x=\dfrac{20.3}{0.35}\\\\x=58[/tex]
So, there are 58 350 mL cans of coke that can be filled from a 20.3 L tank of coke.
A flat screen television cost 1306.62 A monthly fee of $5.50 is added if it is paid in Installments Marisa Will pay for the television over 18 months how much will she pay each month
A set of art exam scores are normally distributed with a mean of
81 points and a standard deviation of 10 points. Calvin got a score of 78 on
the exam.
What percentage of exam scores are lower than Calvin's score?
a) 61.79%
b) 65.17%
c) 34.83%
d) 38.21%
Answer:
The percentage of people that scored less than Calvin is 38.21 %
Step-by-step explanation:
In this question, we are concerned with calculating the percentage of exam scores lesser than what Calvin scores.
To calculate this, we first need to calculate the standard score or the z-score of Calvin result.
Mathematically;
z = (x - mean)/SD
from the question, x = 78, mean = 81 and SD = 10
Substituting this, we have
z = (78 -81)/10 = -3/10 = -0.3
So we proceed to calculate the probability.
P(x < 78) or P(z < -0.3)
We make use of the standard table to get this probability
P(z< - 0.3) = 0.38209
In percentage, this is same as 38.209% or more simply 38.21%
Brandon estimates that he will need $18,000 each year to attend a 4-year college. His family can pay $5,000 a year. And he can get a student loan for $10,000 each year. If he saves $250 a month, how many months will it take him to save the rest of the money he will need for college?
Answer:
48 months
Step-by-step explanation:
Brandon estimates that he will need $18,000 each year to attend a 4-year college.
His family can pay $5,000 a year and he can get a student loan for $10,000 each year.
This means that, each year, $15000 out of the $18000 has been covered. That is the sum of the money from his parents and the loan:
$5000 + $1000 = $15000
That means the amount he still needs to cover per year is:
$18000 - $15000 = $3000
In 4 years, he will need to cover:
4 * $3000 = $12000
He saves $250 a month. Therefore, the number of months he will need to save $12000 is:
[tex]\frac{12000}{250} = 48 months[/tex]
He will need to save for 48 months to save the rest of the money he will need for College.
Answer: It will take him 48 months.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
the amount his family can pay per year (5000) multiplied by 4 (since is a 4 year college) ; plus the amount of the loan he gets per year (1000) also multiplied by 4 ; plus the amount he saves per month (250) multiplied by the number of months (m) must be equal to the amount he will need per year for college (18000) multiplied by 4.
Mathematically speaking
18000 x 4 = (5000 x 4) + (10000x 4) + 250 m
Solving for m
72000= 20,000+ 40,000+ 250m
72,000-20,000-40,000 = 250m
12,000= 250m
12,000/250 = m
48 =m
Feel free to ask for more if needed or if you did not understand something.
What is the image of (-6,-3) after a reflection over the y-axis?
Answer:
(6,-3)
Step-by-step explanation:
Answer:
(6,3)
Step-by-step explanation:
so the rule of a reflection over y axis is:
(-x,y)
since x=-6
(--6,-3)
(6,-3) is the new point
if its an reflection over the x axis(which is not the case here) then it would be:
(x,-y)
Find the mean for this data set: 19, 12, 9, 6, 12, 8, 18, 12, 14, 10
Answer:
12
Step-by-step explanation:
To find the mean, we add up all the numbers and divide by the number of numbers
(19+ 12+9+ 6+ 12+ 8+ 18+ 12+ 14+ 10)/10
120/10
12
Answer:
the mean to this problem is 12
Step-by-step explanation:
19+2+9+6+12+8+18+12+14+10= 120
120/10=
12
Find the probality of rolling a multiple of 4
Answer:8
Step-by-step explanation:
Answer:
the answer is 8
Step-by-step explanation:
Two rigid transformations are used to map triangle JKL to triangle MNQ. The first is a translation of vertex L to vertex Q. What is the second transformation?
A reflection across the line containing LK
A reflection across the line containing JK
A rotation about point L
A rotation about point K
Answer:
Option C
Step-by-step explanation:
a rotation about point L
Answer:
CStep-by-step explanation:
a rotation about point Lgood luck man get a 100% on
My first step will be to change the operator to multiplication and
reciprocate the second fraction when... *
O
A Adding
O
B Multiplying
O
c Subtracting
O
D Dividing
Answer: D. Dividing
Step-by-step explanation:
When we divide a number ( whether fraction or not ) by a fraction, then we first change the operator to multiplication and reciprocate the second fraction.
Let's take an example:
Suppose we have h division problem in fraction as [tex]\dfrac{2}{3}\div\dfrac{4}{9}[/tex]
Then, our first step would be to change division operator (÷) by multiplication operator (×) and then ×reciprocate the second fraction , so the next step will become [tex]\dfrac{2}{3}\times\dfrac{9}{4}[/tex] , Now cancel out 3 and 2 from both numerator and denominator , we get
[tex]\dfrac{1}{1}\times\dfrac{3}{2}=\dfrac{3}{2}[/tex]
i.e. [tex]\dfrac{2}{3}\div\dfrac{4}{9}=\dfrac{3}{2}[/tex]
Hence, the correct option is "D. Dividing".
The first step which involves changing the operator to multiplication of the reciprocal of the second fraction is when dividing.
How to be divide fractionIf given
5/2 ÷ 1/2
The first step is to multiply with the reciprocal of the second fraction
= 5/2 × 2/1
= (5 × 2) / (2 × 1)
= 10/2
= 5
Therefore, when dividing fraction, we multiply with the reciprocal of the second fraction.
Learn more about division of fraction:
https://brainly.com/question/1622425
What is the area of this composite figure?
2 trapezoids. Both trapezoids have base lengths of 210 millimeters and 150 millimeters, and a height of 55 millimeters.
8,250 millimeters squared
9,900 millimeters squared
11,550 millimeters squared
19,800 millimeters squared
Answer:
9,900 millimeters squared
Step-by-step explanation:
The area of the composite figure having bases 210mm, 150mm and height 55mm is ; 19800 millimeters squared.
What is a trapezoid?A trapezoid is a quadrilateral with one pair of parallel sides.
Analysis:
Area of a trapezoid = 1/2(a + b )h
where a = small base, b = big base and h = height
From given data: a = 150mm, b = 210mm, h = 55mm
Area of trapezoid = 1/2(150+210) x 55 = 9900[tex]mm^{2}[/tex]
For the two trapezoids = 2 x 9900 = 19800[tex]mm^{2}[/tex]
In conclusion, the area of the two trapezoids is 19800[tex]mm^{2}[/tex]
Learn more about trapezoids: brainly.com/question/1410008
#SPJ2
In a probability experiment, Karen flipped a coin 92 times. The coin landed on heads 41 times. What percentage of the coin flips resulted in tails? Round to the nearest percent.
Step-by-step explanation:
Step 1: Find the probability of landing on tails
92 - 41 = tails
51 = tails
[tex]\frac{51}{92}[/tex] = probability
0.554... * 100 = probability
55% = probability
Answer: The probability of landing on a tails is 55%
Answer:
55%
Step-by-step explanation:
P(heads) = 41/92
P(tails) = 1 - P(heads)
1 - 41/92
51/92 × 100
55.43478261%
Jeremy made a belt that was 6.4 decimeter long. How many centimeters long is the belt Jeremy made?
Answer:
64
Step-by-step explanation:
1 Decimeter is equal to 10 centimeters. To convert decimeters to centimeters, multiply the decimeter value by 10. In this case it is 64.
Hope I helped:)
A una feria asistieron 350 personas de las cuales dos tercios son adolescentes y un cuarto personas adultas y un quinto son los niños de 10 a 12 a qué cantidad corresponde a las personas adultas
Answer:
There are approximately 88 adults.
Step-by-step explanation:
The question is:
A fair was attended by 350 people of which two thirds are adolescents and a quarter adults and a fifth are children from 10 to 12 what amount corresponds to adults .
Solution:
Total number of people attending the fair is, N = 350.
The proportion of adults is: P (Adults) = p = 0.25.
Compute the number of adults in the fair as follows:
[tex]\text{Number of adults in the fair}=N\times p[/tex]
[tex]=350\times 0.25\\\\=87.5\\\\\approx 88[/tex]
Thus, there are approximately 88 adults.
Will mark as brainiest
Answer:
y·cos73°= x
Step-by-step explanation:
To find this, we can begin by looking at the steps to solve this problem. We know that this involved the 'opposite' and 'adjacent' sides, meaning we must use 'cos' in this instance.
We can set up an equation like this:
cos73°= [tex]\frac{x}{y}[/tex].
We can simply rearrange this to form a possible answer choice:
y·cos73°= x.
This is one of the answer choices! That is your final answer.
Answer:
the answer is y·cos73°= x
Step-by-step explanation:
because i looked it up
What is the first operation performed in the arithmetic solution and in solving the equation ?
Answer:
Calculating the numbers inside parentheses is first according to the order of operations.
Step-by-step explanation:
Order of operations