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%
Tony flips a coin and gets heads. He tells his friend that he can get heads two more times in a row .what is the probability that tony will flip a coin and get heads three times in a row
Answer:
The probability is 1/8 or 0.125
Step-by-step explanation:
In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.
In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2
Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)
When we have and in a probability question, that means we are to multiply the probabilities together.
Hence, P(HHH) = 1/2 * 1/2 * 1/2 = 1/8
When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a standard deviation of 5 minutes. Using the empirical rule, what percentage of his commutes will be between 17 and 47 minutes?
Answer:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And we can find the nnumber of deviations from the mean for each limit given:
[tex] z_1 = \frac{17-32}{5} = -3[/tex]
[tex] z_2= \frac{47-32}{5} = 3[/tex]
So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values
Step-by-step explanation:
Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:
[tex]X \sim N(32,5)[/tex]
Where [tex]\mu=32[/tex] and [tex]\sigma=5[/tex]
We want to find this probability:
[tex]P(17<X<41)[/tex]
And we can use the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And we can find the nnumber of deviations from the mean for each limit given:
[tex] z_1 = \frac{17-32}{5} = -3[/tex]
[tex] z_2= \frac{47-32}{5} = 3[/tex]
So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values
Which expression is equivalent to [tex]\sqrt128x^{8} y^{3} z^{9}[/tex]? Assume [tex]y\geq 0[/tex] and [tex]z\geq 0[/tex].
A - [tex]2x^{2} z^{2} \sqrt8y^{3} z[/tex]
B - [tex]4x^{2} yz^{3}\sqrt 2x^{2}[/tex]
C - [tex]8x^{4} yz^{4} \sqrt2yz[/tex]
D - [tex]64x^{4}yz^{4} \sqrt2yz[/tex]
Answer:
[tex](C)8x^4z^4\sqrt{2yz}[/tex]
Step-by-step explanation:
We want to determine an expression equivalent to: [tex]\sqrt{128x^8y^3z^9}[/tex]
[tex]\sqrt{ab} =\sqrt{a}*\sqrt{b}[/tex]
Therefore:
[tex]\sqrt{128x^8y^3z^9}=\sqrt{128}*\sqrt{x^8}*\sqrt{y^3}*\sqrt{z^9}[/tex]
[tex]=\sqrt{64*2}*\sqrt{x^{4*2}}*\sqrt{y^{2+1}}*\sqrt{z^{8+1}}\\=8\sqrt{2}*\sqrt{x^{4*2}}*\sqrt{y^2*y}*\sqrt{z^{8}*z}}[/tex]
[tex]=8\sqrt{2}*x^4*y \sqrt{y}*z^4\sqrt{z}\\=8*x^4*z^4*\sqrt{2}*\sqrt{y}*\sqrt{z}\\=8x^4z^4\sqrt{2yz}[/tex]
Answer:
C on edge2020.
Step-by-step explanation:
Trust me on this one.
:D
What is the surface area for this?
It is 6 sq. units. I hope you do well. Have a wonderful day.
Pleaaase helppp meee im being timedd please explain too and i will be marking brainliest thank u :)
Answer:
224 cubic in
Step-by-step explanation:
l*w*h / 3
12*14*4=672
672/3=224 cubic in
How many inches are in 3 feet
Answer:
36 inches.
Step-by-step explanation:
What does 6 - 6 + 3 =
Answer:
3
Step-by-step explanation:
Step-by-step explanation:
6 - 6 + 3
0 + 3
3
What is Mara has 7 cups of green paint and a container filled with 64 fluid ounces of yellow paint which color of paint does Mara have a lot of explain your reasoning
Answer: Mara has a lot of yellow paint
Step-by-step explanation:
Mara has less green paint because 7 cups is the same as 56 fluid ounces and 56 is less than 64 (yellow paint)
Mara has 56 fluid ounces of green paint and 64 fluid ounces of yellow paint. Therefore, Mara has more yellow paint. The calculations involve converting units of measure for an accurate comparison.
Explanation:To answer your question accurately, it would be necessary to convert the measurements to the same unit. Given that 1 cup is approximately 8 fluid ounces, Mara's 7 cups of green paint convert to 56 fluid ounces (7 cups * 8 ounces/cup).
Comparing this to the 64 fluid ounces of yellow paint, we find that Mara has more yellow paint.
The comparison was made by first converting the quantity of green paint from cups to fluid ounces for a direct, accurate comparison between the two quantities of paint. This kind of problem is a great example of why understanding units of measure is important in mathematics and in everyday life.
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Solve : 6=m-7/8
HELP!!!
Answer:
Step-by-step explanation:
[tex]6=m-\frac{7}{8}\\\\6+\frac{7}{8}=m\\\\\frac{6*8}{1*8}+\frac{7}{8}=m\\\\\frac{48}{8}+\frac{7}{8}=m\\\\\frac{55}{8}=m\\\\m=\frac{55}{8}[/tex]
y = 200 + 350x , y = 3x When x = 7, which equation has the greater value?
Answer:
y=200+350x
Step-by-step explanation:
3*7=21
200+350*7=2450
Alexa is planning to drive across the United States in her car. She started making a table to represent the proportional relationship between gallons of gas and miles driven. The table shows how far she can travel for each gallon of gas that she uses.
What is the constant of proportionality?
miles per gallon
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
c=4h+9f +4p solve for F
Answer:
the answer to your question will be f = c/9 - 4h/9 - 4p/9
Step-by-step explanation:
as much as I would like to, I'm really not that great at explaining things
In a school of 900 students, there are 360 boys and 540 girls. Which change would result in the greatest ratio of boys to girls?
A Increase of the number of girls by 100
G decrease the number by girls by 100
H increase the number of boys by 100
J decrease the number of boys by 100
Answer:
G decrease the girls by 100
Step-by-step explanation:
PLEASE HELP
Figure ABCD is reflected across the y-axis.
What are the coordinates of A' , B' , C' , and D' ?
Enter your answer in each box.
The coordinate for A, B, C, and D: (Current coordinates)
A: (-1, 4)
B: (-5, 8)
C: (-5, 4)
D: (-4, 2)
Once we reflect acorss the y-axis the coordinates become:
A': (1, 4)
B': (5, 8)
C': (5, 4)
D': (4, 2)
In this situation the coordinates just become positive.
I hope this helps!
By mistake, you added salt instead of sugar to the
oil. How can you remove the salt?
Answer: Evaporate the water by boiling it in a pot with a lid or another container. This separates both substances as the boiling point for water is much lower than salt, this method is called simple distillation.
Answer:
Salt is ionic, and oil is covalent. If you add water, the salt will dissolve in the water, and the oil will float to the top. You could then skim the oil and start over with sugar. To double-check, you could even make sure the oil does not conduct electricity!
Step-by-step explanation:
In matrix T how many minutes did caller 3 spend calling caller 4?
Answer:
52
Step-by-step explanation:
Did it on edge.
Answer:
52
the next one is 63 minutes
thank me later
Can someone please help me on this?
Answer:
D just did it your welcome
Step-by-step explanation:
HELP ME PLEASE 15 POINTS
Pls helpppp !!!! Giving 12 points for answer
Answer:
b. 15 x 20
Step-by-step explanation:
I only need e f g done!!! WIll give brainliest!!
Answer:
E) the new price is going to be $3.92
Work: 3.50 × 12 / 100 = 0.42
3.50 + 0.42 = 3.92
F) Dont understand what this one is asking
G) You would save 1.03$ with the 10% off.
Work: 10.3 x 10 / 100
103 / 100
$1.03
hope this helps
ASAP
Which graph shows Robby when he is: standing still, starts running and is speeding up and when he is at constant speed.
Answer:
first graph shows he is standing still
second one is he is at constant speed.
third one is starts running and is speeding up
hope it please pretty please mark brainliest
Two positive integers have a product of 18.
One integer is twice the other. What are the
integers?
Answer: 3,6
Step-by-step explanation:
Select the correct answer.
What is credit?
A.
an arrangement in which you receive money, goods, or services now in exchange for the promise of payment later
B.
an arrangement in which you receive goods or services in exchange for other goods and services
C.
an arrangement in which you receive money now and pay it back later with fees
I need the answer ASAP!!!! A.K.A. Right Now:(
Answer:
ypur answer would be a.
Credit is an arrangement where goods, services, or money are provided in the present with the promise of future payment, typically going into debt.
Credit is an arrangement where you receive money, goods, or services now and agree to pay for them later. This includes transactions with a credit card, where you obtain a good or service without immediate payment, but with a promise to pay the credit card company later, often with interest. Credit transactions essentially involve going into debt, as they create an obligation to pay in the future.
Choosing the correct answer from the provided options:
An arrangement in which you receive money, goods, or services now in exchange for the promise of payment later.
An arrangement in which you receive goods or services in exchange for other goods and services.
An arrangement in which you receive money now and pay it back later with fees.
The correct answer would be (A) since it entails receiving money, goods, or services now with the promise of payment at a later date, which matches the definition of a credit transaction.
The volume of a rectangular prism is represented by the function x^3+9x+6x-16.The length of the box is x+2, while the height is x+8. Find the expression representing the width of the box
Answer:
Width = (x -1)
Step-by-step explanation:
Volume of rectangular prism = x³ + 9x² + 6x - 16
length * height *width = x³ + 9x² + 6x - 16
(x + 2)(x + 8 )* width = x³ + 9x² + 6x - 16
1. The buzz about coffee A recent study of over 400,000 older people in eight states asked participants whether or not they drank coffee and followed them for 13 years. The researchers found that coffee drinkers tend to live longer than non-coffee drinkers.
a. What is the statistical question that the researchers were trying to answer? b. Identify the population and the sample.
c. Is this an observational study or an experiment? Explain.
Answer:
a. The correlation between drinking coffee and longevity among older people
b. The population is the entire population of older people
The sample is the over 400,000 older people from eight states
c. It is an observational study
Step-by-step explanation:
a. A statistical question is a question that results in different answers from different respondents. Here the statistical question the researchers are trying to answer is if there is a correlation between drinking coffee and longevity among older people
b. The population is the entire population of older people and the sample is the over 400,000 older people from eight states
c. An observational study is one in which the researchers sought or collect data based on what is obtainable and make conclusions based on the sought or obtained data. An experiment is one in which the effects of inputs from the researchers on a group is recorded
From the description of the question, therefore, the study is observational.
The researchers were trying to determine if coffee drinkers live longer than non-coffee drinkers. The population studied was older people in eight states, with a sample size of 400,000 participants. The study was an observational study that followed participants for 13 years.
Explanation:a. The statistical question that the researchers were trying to answer is whether coffee drinkers live longer than non-coffee drinkers.
b. The population in this study is older people in eight states, while the sample is the 400,000 participants who were involved in the study.
c. This study is an observational study because the researchers observed the participants' coffee consumption and followed them for 13 years without intervening or manipulating any variables.
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What is the probability that a data value in a normal distribution is between a z-score of -0.28 and a z-score of 0.64? Round your answer to the nearest tenth of a percent. A. 90.9% B. 58.1% C. 34.9% D. 73.3%
Answer:
[tex]P(-0.28 <Z< 0.64) = P(Z<0.64) -P(Z<-0.28)[/tex]
[tex]P(Z<0.64) =0.739[/tex]
[tex]P(Z<-0.28) =0.390[/tex]
And with the difference we got: 0.739-0.390 = 0.349
And if we convert the probability to % we got 0.349*100 = 34.9%. And the best answer would be:
C. 34.9%
Step-by-step explanation:
For this case we want this probability:
[tex] P(-0.28 <Z< 0.64)[/tex]
And we can find this probability using the normal standard distribution and with the following difference:
[tex]P(-0.28 <Z< 0.64) = P(Z<0.64) -P(Z<-0.28)[/tex]
If we find the individual probabilities we got:
[tex]P(Z<0.64) =0.739[/tex]
[tex]P(Z<-0.28) =0.390[/tex]
And with the difference we got: 0.739-0.390 = 0.349
And if we convert the probability to % we got 0.349*100 = 34.9%. And the best answer would be:
C. 34.9%
The probability of a value falling between z-scores of -0.28 and 0.64 in a normal distribution is found by taking the cumulative area under the standard normal curve for each z-score and calculating their difference, which results in approximately 34.9% after rounding. Thus, the correct answer to the student's question is option C) 34.9%.
The question addresses the calculation of probabilities for specific ranges of z-scores in a normal distribution. To find the probability that a data value is between a z-score of -0.28 and a z-score of 0.64, we need to look at the standard normal distribution table or use a statistical software that provides the cumulative area up to these z-scores.
The probability of a value being less than z = 0.64 is P(Z < 0.64). According to the z-table, this probability is approximately 0.7389. Similarly, the probability of a value being greater than z = -0.28 (which is equivalent to less than due to symmetry) can be found as 1 - P(Z < -0.28), which, when referred to a z-table, gives a value of about 0.6103. Therefore, the total probability of a value being between z = -0.28 and z = 0.64 is the difference between these two probabilities, 0.7389 - (1 - 0.6103) = 0.3492 or 34.92%.
However, this value needs to be rounded to the nearest tenth of a percent, which yields 34.9%. So the correct answer is C. 34.9%.
3. How much would $900
invested at 6% interest
compounded continuously
be worth after 4 years?
Answer: $1,144.12
Step-by-step explanation:
The list of all factors for 32 is 1,2,4,8, and 32.
True or False
Answer:
False
Step-by-step explanation:
The list of all the factors of 32 is 1, 2, 4, 8, 16, and 32
The speed of a boat in still water is 24 mph. It goes 15 miles downstream and comes back in 80 minutes. What is the speed of the stream? *
The problem involves calculating the speed of the current in a river using the given data: the speed of a boat in still water, the distance traveled downstream and upstream, and the total time taken. An application of the concept of relative speed helps solve the problem by setting up an equation reflecting the speeds during the downstream and upstream runs, then solving for the speed of the current.
Explanation:The problem demonstrates an application of relative speed in the context of a boat moving in a stream. Let's denote the speed of the boat by 'b', the speed of the stream by 's', the time taken to move downstream by 't1', and the time taken to move upstream by 't2'. The speed of the boat in still water is given as 24 mph.
When moving downstream, the boat and the stream are going in the same direction, so their speeds add up: the actual speed will be b+s (24 mph + s). On the other hand, when moving upstream, the boat is going against the stream, so the actual speed is b-s (24 mph - s).
The total time taken to go 15 miles downstream and return is 80 minutes or 4/3 hours. Therefore, using the formula for time (time = distance/speed), we can set up the following equation: 15/(24+s) + 15/(24-s) = 4/3
Solving this equation will give us the value of 's', which represents the speed of the stream.
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The speed of the stream is 6mph.
To find the speed of the stream, we can use the concept of relative speed.
When the boat is going downstream (with the current), the effective speed is increased by the speed of the stream. So, the effective speed downstream is v + s
When the boat is going upstream (against the current), the effective speed is decreased by the speed of the stream. So, the effective speed upstream is V- s
1. Time taken downstream
[tex]\[ t_d = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v + s} \][/tex]
2. Time taken upstream
[tex]\[ t_u = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v - s} \][/tex]
3. Total time for the round trip
The total time taken for the round trip is the sum of the time taken downstream and upstream.
[tex]\[ \frac{15}{v + s} + \frac{15}{v - s} = \frac{80}{60} \] (converted minutes to hours)[/tex]
Now, let's substitute v = 24 into the equations and solve for \( s \), the speed of the stream.
Once we have s we can find the speed of the stream.
[tex]\[ \frac{15}{24 + s} + \frac{15}{24 - s} = \frac{4}{3} \][/tex]
Multiplying both sides of the equation by ( (24 + s)(24 - s) to clear the denominators:
[tex]\[ 15(24 - s) + 15(24 + s) = \frac{4}{3}(24 + s)(24 - s) \][/tex]
Taking the square root of both sides:
s= 6
Therefore, the speed of the stream is 6 mph.
Drag each number to the correct location on the equation. Not all numbers will be used.
ABC and RST are similar and have the same orientation. The hypotenuse of RST is on the same line as the hypotenuse of ABC and is twice the length of AB.
What is the equation of the line that contains the hypotenuse of RST?
-18
9
3
-6
-3
-9
6
18
Answer:
The equation of the hypotenuse line is y = -3·x + 9
Therefore, the correct options are -3 and 9
Step-by-step explanation:
The question asks to fill the boxes
y = _ x + _
We note that the equation is that of a straight line of the form;
y = m·x + c
Where:
m = Slope of the straight line graph and
c = Y intercept, that is the y-coordinate of the point on the line where x = 0
From the graph, we find the slope as follows;
[tex]Slope = \frac{y_2 - y_1}{x_2 -x_1} = \frac{(-9) -0}{6-3} = -3[/tex]
Therefore, m = -3
The y intercept is found by extending the hypotenuse line to the point where it touches the y axes that is at x = 0;
From the graph, it is observed that the line, when extended, touches the y axes at the point y = 9, therefore, c = 9
Hence we have, the equation of the hypotenuse line is y = -3·x + 9.
Answer:
y = -3x + 9
Step-by-step explanation:
Have a good day.