We need to find the z-score for Hank using the above formula.z = (x - μ) / σ= (23 - 20) / 5= 0.6So, the z-score for Hank is 0.6.
The z-score measures the number of standard deviations a particular value is away from the mean. A positive z-score indicates that Hank's score is above the mean, while a negative z-score would indicate a score below the mean. In this case, a z-score of 0.6 suggests that Hank's score is 0.6 standard deviations above the average.
The z-score is a measure of the number of standard deviations that a value is above or below the mean of a distribution. It is calculated using the formula z = (x - μ) / σ, where x is the value being evaluated, μ is the mean of the distribution, and σ is the standard deviation.
The given problem states that the test scores of a local DMV had an average of 20 and a standard deviation of 5.
So, the mean μ = 20 and the standard deviation σ = 5.Hank scored a 23. This means that his score is 0.6 standard deviations above the mean of the distribution.
To learn more about : z-score
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A car rental company is interested in the amount of time its vehicles are out of operation for repair work. A random sample of 21 cars showed that, over the past year, the numbers of days that each of these cars had been inoperative were as follows: 15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14 Assuming that the population is normally distributed, construct a 95% confidence interval for the mean number of days that vehicles in the company's fleet are out of operation.
Answer:
(10.891; 15.869)
Step-by-step explanation:
Given the data::
15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14
The confidence interval is obtained using the relation :
Mean ± margin of error
Margin of Error = Zcritical * s/sqrt(n)
Using a calculator, the mean value of the data and standard deviation above is :
Mean = Σx / n ; n = sample size
Mean, xbar = 281 / 21
Mean = 13.38
Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]
Standard deviation, s = 5.82
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 95% confidence level = 1.96
Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489
Confidence interval :
Mean ± margin of error
13.38 ± 2.489
Lower boundary = (13.38 - 2.489) = 10.891
Upper boundary = (13.38 + 2.489) = 15.869
(10.891; 15.869)
A football stadium holds 5000 people.
On a match day 5 of the stadium is full.
40% of the children are girls.
The ratio of adults to children is 2 : 3
How many of the children attending are boys?
Answer:
720 boysss
Step-by-step explanation:
Yep thts the answerrr...
I need help ! We are doing log lines
Answer:
exponent
Step-by-step explanation:
To get log2(4)=2
so 2 to the power of 2 is 4
4 is the number between brackets in log
another example
log2(8)=3
2 to the power of 3 is 8
Name the marked angle in 2 different ways.
Answer:
PQR and RQP
Step-by-step explanation:
We name the angle by providing 3 points - the middle point needs to be the tip of the angle, the other two should lie on the sides. The order of the sides doesn't matter (unless we define it to), so both PQR and RQP are valid names for this angle.
Step-by-step explanation:
This question is very straightforward.
Angle names always has a format: angle aBc
, where the middle letter is always the angle you want to use or find the value of.
Therefore in this case, you can name the angle , as angle RQP or angle PQR.
The radius of a circle is 4 centimeters. What is the circle's area?
The formula to find area of a circle is A = π r².
The radius is 4, so we can plug that in.
A=π4²
4 squared is 16.
A=π(16)
We can use 3.14 for pi.
A=3.14*16
A=50.24
So the area of this circle is 50.24 cm²
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hope it helps
(2/5)^3=
anybody help???
Answer:
8/ 125
Step-by-step explanation:
8/ 125
Answer:
8/125
Step-by-step explanation:
I think. you can use the app photo math
Mark rows a boat 8 miles an hour in calm water. When the rate of a river's current is 3 mph, it takes Mark 2 hours longer to row a given distance upstream than to travel the same distance downstream. How long will it take him to row downstream? How many miles will he row in total? Time: Distance:
Answer:
utprirtdufyfohxhcf2667566596 y _&÷&8€5697= 34 minutos y el no te
Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 2r and height 2h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?
I will ONLY give you a brainliest of you answer this questions CORRECTLY!
Answer:
Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.
Step-by-step explanation:
Surface area of a cylinder = 2πrh+2πr² = 2π(rh+r²)
Cylinder A = 2π(rh+r²)
Cylinder B = 2π((2r)(2h)+(2r)²) = 2π(4rh+4r²)=2π(4(rh+r²))
To find how many times greater Cylinder B's surface area is than Cylinder A's surface area, divide:
[tex]\frac{Cylinder B}{Cylinder A}[/tex]
=2π(4(rh+r²))/2π(rh+r²)
(divide top and bottom by 2π)
=4(rh+r²)/(rh+r²)
(divide top and bottom by (rh+r²))
=4
Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.
Do bathroom scales tend to underestimate a person’s true weight? A 150 lb test weight was placed on each of 50 bathroom scales. The readings on 28 of the scales were too light, and the readings on the other 22 were too heavy. Can you conclude that more than half of bathroom scales underestimate weight? Find the P-value and state a conclusion. The P-value is . Round the answer to four decimal places. We cannot conclude that more than half of bathroom scales underestimate weight.
Answer:
the P-value = 0.1977
conclusion: Since the p-value is not small;
we reject null hypothesis
hence, the data does not support claim that more than half of the bathroom scales underestimate weight.
Step-by-step explanation:
Given the data in the question;
let X represent the number of successes ( the weight is underestimated ) in n independent Bernoulli trials, each with the success probability p
X - Bin( n,p).
so
Null hypothesis H₀ : p ≤ 0.5
Alternative hypothesis Hₐ : p > 0.5
now, compute np₀ and n( 1 - p₀ )
np₀ = (50)(0.5)
np₀ = 25
n( 1-p₀ ) = (50)(1 - 0.5)
n( 1-p₀ ) = 25
we can see that both values are greater than 10.
∴ the sample proportion is approximately normally distributed;
P" - N ( p₀, [tex]\frac{p_{0}(1-p_0)}{n}[/tex] )
sample proportion p" = 28/50 = 0.56
standard deviation will be;
σ[tex]_{p"[/tex] = √( p₀(1-p₀) / n )
σ[tex]_{p"[/tex] = √( 0.5(1-0.5) / 50 )
σ[tex]_{p"[/tex] = √( 0.25 / 50 )
σ[tex]_{p"[/tex] = 0.07071
Next is the Z-score
z = p" - p₀ / σ[tex]_{p"[/tex]
z = 0.56-0.5 / 0.07071
z = 0.06 / 0.07071
z = 0.85
from table,
the probability that a standard normal random variable takes on a value greater than 0.85 is approximately 0.1977
Therefore, the P-value = 0.1977
conclusion: Since the p-value is not small;
we reject null hypothesis
hence, the data does not support claim that more than half of the bathroom scales underestimate weight.
p = 0.197663
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below/attached
What are solutions to the equations
Answer:
A
Step-by-step explanation:
Answer:
x= -6 ,1
Step-by-step explanation:
B is the answer
x= -6 ,1
PLS, HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF I KNOW IS A VIREIS.
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.
Write a question that could be answered by solving the equation 10−0.035d=4.
Answer:
After how many days will the tank need to be refilled?
Step-by-step explanation:
To answer our question, we first need to figure out what d represents. d is multiplied by 0.035, which is how much the water level decreases daily. Since it decreases daily, the overall amount it decreases depends on how many days have passed. It is logical then to deduce that d represents days (also days starts with d, so we know we're on the right track haha).
The equation equals to 4, the water level at which the tank must be refilled, so we know we are looking for d when the tank must be refilled.
Jaime has 50 rock songs, 35 dance songs and 15 rap songs on his play list. If his music player randomly selects a song, what is the probability that it is a rock song?
Select the correct answer.
Which statement is true?
A.
The mean lies to the right of the median for a positively skewed distribution.
B.
The mean lies to the left of the median for a positively skewed distribution.
C.
The mean lies to the left of the median for a symmetric distribution.
D.
A distribution skewed to the right is said to be negatively skewed.
E.
A distribution skewed to the left is said to be positively skewed.
Answer:
The correct answer would be The mean lies to the left od the median for a positively skewed distribution
Step-by-step explanation:
Answer: The mean lies to the left odd the median for a positively skewed distribution
The distance between City A and City B is 500 miles. A length of 1.7 feet represents this distance on
a certain wall map. City C and City D are 2.72 feet apart on this map. What is the actual distance
between City C and City D?
The actual distance between City C and City Dis miles.
Answer:
799.99999 or 800 miles.
Step-by-step explanation:
You first need to find the conversion rate, so you divide 500 by the number representing it on the map, that being 1.7 feet. Once you've done this, you will get a conversion rate of 294. Now that you have the conversion rate, you multiply your second number, 2.72. This will give you your answer of 799.68 miles, which can be rounded up to 800 miles.
Find the radius of the circle given the area of the sector is 153.9 and the angle measure
is 90 degrees.
Answer:
14
Step-by-step explanation:
area of sector = 153.9
or, (1/2) r²∅ = 153.9
or, r²∅ = 153.9 ×2
or, r²∅ = 307.8
or, r²× π/2 = 307.8
or, r² = 615.6/π
or, r² = 196
or, r=√196
r = 14
find the surface area of the rectangular prism.
A 90 cm2
B 135 cm2
C 225 cm2
D 270 cm2
Answer:
D. 270 cm2
Step-by-step explanation:
2*(15*5 + 15*3 + 5*3) = 270 cm2
A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race during the past month. Do these data provide statistical evidence at the α = 0.05 level that women are less likely than men to run a five-kilometer race? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (10 points)
Answer:
The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.
Step-by-step explanation:
We are given;
Number of males selected; n₁ = 150
Number of females selected; n₂ = 190
Proportion of the males; p₁ = 0.6
Proportion of females; p₂ = 0.5
Let's define the hypotheses;
Null hypothesis; H0: p₁ ≥ p₂
Alternative hypothesis; Ha: p₁ < p₂
Now, the z score formula for this is;
z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))
Where;
p^ = (p₁ + p₂)/2
p^ = (0.6 + 0.5)/2
p^ = 0.55
Thus;
z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))
z = 0.1/0.0543
z = 1.84
From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;
P-value = 0.033
The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.
Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.
which of these object does not represent a plane
a .top of a box b .blackboard c. cover of the book the d. star in the sky
Answer:
D. star in the sky
Step-by-step explanation:
To be honest, none of them represent the plane but I think that's a better answer. OwO
Stephanie is going to paint the walls and ceiling of her bedroom. Her room is 18 feet long, 17 feet wide and 9 feet high.
What is the square footage (area) of the walls and ceiling that Stephanie will be painting?
The square footage Stephanie will be painting is ________ square feet. (Enter the number only)
How many gallons of paint does Stephanie have to purchase if each gallon of paint covers 250 square feet?
Stephanie will have to buy _____ gallons of paint. (Remember, you can only purchase a WHOLE number of gallons;Enter the number only)
If each gallon cost $23.75, how much will Stephanie spend on paint?
Stephanie will spend $________ on paint. (Enter the number only)
Answer:
55
Step-by-step explanation:
54v–42w.
Write your answer as a product with a whole number greater than 1
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Answer:
6(9v -7w)
Step-by-step explanation:
The greatest common factor of the two terms is 6. Any factor of 6 can be brought outside parentheses:
54v -42w = 2(27v -21w) = 3(18v -14w) = 6(9v -7w)
Please help extremely important!!
PLEASE HURRY THIS IS DUE IN 20MIN
The Green River Freeway has a minimum and a maximum speed limit. Tony drove for 4 hours at the minimum speed limit and 7 hours at the maximum limit, a distance of 710 miles. Rae drove 4 hours at the minimum speed limit and 6 hours at the maximum limit, a distance of 640 miles SOLVE USING elimination
This is not my answer I found it from another brainly
From the beginning we know we are dealing with two different rates. Distance is equal to (Speed X Time). We have two different speeds though. We will call the min speed = x and the max speed = y. With those two ideas in place we can make two equations for both Tony and Rae.
Tony:
2x+3.5y=355
Rae:
2x+3y=320
Now you can solve the equations by subtracting Rae's equation from Tony's
.5y=35 solve for y and you get 70
Now plug that y value back into either equation and you can solve for x. I'll use Rae's distance:
2x+3(70)=320
x=55
PLSSSSSSSSSSS HELP OMGGGGGGGG
Answer:
hi
have a good day for you
Where does the graph of cosine begin?
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Answer:
wherever you want it to
Step-by-step explanation:
The cosine function is defined for all real numbers. A graph of it can exist on any interval from -∞ to +∞. Since you make the graph, and it is impossible for you to graph x = -∞, the left side of the graph (where it "begins") will be the point you decide to use to start graphing.
I need to know the surface area of these
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Answer:
245 cm²
Step-by-step explanation:
The surface area of a cone is given by ...
SA = πr(r +s) . . . . where r is the radius, and s is the slant height
Filling in the given values, we have ...
SA = (3.14)(3 cm)(3 cm +23 cm) = (3.14)(3)(26) cm² ≈ 245 cm²
The surface area of the cone is about 245 cm².
PLEASE HELPPP!!!
FIRST ONE TO ANSWER GETS BRAINLIEST Use the expression shown below.
1 x x x x
1 x 1
Part A
Enter a number in the box to show an equivalent expression using an exponent.
(1)
LOOK AT THE PHOTO I PUT
Answer:
[tex]1/4x^{5}[/tex]
Step-by-step explanation:
help me please with this
9514 1404 393
Answer:
8. CE
9. b) no
10. 22
Step-by-step explanation:
8. The smallest side is opposite the smallest angle (D=58°). The smallest side is CE.
__
9. The sum of the shortest sides must exceed the longest side.
1 + 2 > 5 . . . . NOT TRUE -- no triangle can be formed
__
10. The possible lengths of the third side range between the difference and the sum of the given sides. If that length is x, then we must have ...
15-8 < x < 15+8
7 < x < 23
The largest integer value of x is 22. The third side can be at most 22.
can someone pleaseee help me i’ll give you brainliest
Answer:
a
Step-by-step explanation:
when reflected by x-axis, the x stays the same but the y turns negative.
Find the probability of exactly two
successes in five trials of a binomial
experiment in which the probability of
success is 50%.
Round to the nearest tenth of a
percent.
Answer:
Step-by-step explanation: 0.5
Please help, will give brainliest.
Answer:
There is nothing.
Step-by-step explanation:
Answer:
A line that starts at with a constant positive slope
Step-by-step explanation:
Hope it makes sense!!