The time needed to complete a final examination in a particular college course is normally distributed with a mean of minutes and a standard deviation of minutes. Answer the following questions. a. What is the probability of completing the exam in one hour or less (to 4 decimals)? 0.0228 b. What is the probability that a student will complete the exam in more than minutes but less than minutes (to 4 decimals)? .2858 c. Assume that the class has students and that the examination period is minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to nearest whole number)?

Answers

Answer 1

Answer:

a. This probability is the p-value of Z when X = 60.

b. This probability is the p-value of Z when X = B subtracted by the p-value of Z when X = A.

c. The proportion is the p-value of Z when X is the length of the examination period. How many students is this proportion multiplied by the number of students.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].

a. What is the probability of completing the exam in one hour or less (to 4 decimals)?

This probability is the p-value of Z when X = 60.

b. What is the probability that a student will complete the exam in more than minutes A but less than B minutes (to 4 decimals)?

This probability is the p-value of Z when X = B subtracted by the p-value of Z when X = A.

c. Assume that the class has students and that the examination period is minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to nearest whole number)?

The proportion is the p-value of Z when X is the length of the examination period. How many students is this proportion multiplied by the number of students.


Related Questions

. Given the significance level 0.025, the F-value for the degrees of freedom, df = (7,3) is A. 5.89. B. 14.62. C. 8.45. D. 27.67.

Answers

Answer:

B. 14.62

Step-by-step explanation:

Given that

The significance level is 0.025

We need to find out the degree of freedom df(7,3)

So for this please see the attached table

And, the calculation is given below;

As we can see that f-value = 14.62

df1=7

and

df2=3

Therefore the second option is correct

The same is relevant and considered

Hurry no links pls Leila has wo boxes of juce pops with
an equal number of pops in each box
(24 lota) There are equal amounts of
the four flavors: grape, me, cherry, and
berry. Find the probabilily of randomly
selecting a grape juice pop from the first
box and randen y selecting a juice pop
from the second box that is not cheny?

Answers

Answer:

Probability of selecting a grape juice pop from the first box: 25%

Probability of not selecting a cherry juice pop from the second box: 75%

Probability of them both occurring: 18.75%

Step-by-step explanation:

I need help on this math work could someone please help me?

Answers

Answer:

36

Step-by-step explanation:

Assuming you are looking for the number of unique meals with one appetizer, one entree and one dessert, you multiply the number of options in each 'round':

3*4*3 = 36

Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form

Answers

Answer:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo

Step-by-step explanation:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo

Maya’s chocolate is 59% cocoa. If the weight of the Chocolate bar is 93 grams, how many grams cocoa does it contain? Round your answer to the nearest tenth.

Answers

Answer:

54.9 because it is the answer

Answer:

= 54.9g

Step-by-step explanation:

You must find 59% of 93g

50% = 46.5g

1% = 0.93g

9% = 8.37g

46.5+8.37=54.87g

rounded = 54.9g

18) In a class of 50 boys 3/5of the boys got marks above 60 in Mathematics. How
many boys got above 60 marks?​

Answers

Answer:

thx for the points mwah

Step-by-step explanation:

Please answer as many as you can pls pls pls!!!!! This is a test

Answers

Answer:

35. c

36. b

37. b

I can help with more, could you please zoom in a bit more, I cannot read the exponents.  thanks!!

Step-by-step explanation:

HELP ME WITH THIS PLS! MATH :)

Answers

Answer:

(-7,5)

Step-by-step explanation:

the question was cut off, but I'm assuming that you want to find the location of Denver. Looking at the coordinate plane, Denver, would sit at (-7,5) as you find what x and y values they meet up at. Hopefully this answers your question

If we are looking for the location of Dallas (that is all I see), the coordinates would be as follows.

(2,-4)

Hope this helps.

PLEASE HELP ME 20 PTS
Consider the series Three-halves + three-fourths + StartFraction 3 Over 8 EndFraction + StartFraction 3 Over 16 EndFraction + ellipsis

What expression defines Sn?

S Subscript n Baseline = 3 (one-half Superscript n)
S Subscript n Baseline = three-halves (one-half Superscript n)
S Subscript n Baseline = 3 (1 minus one-half Superscript n)
S Subscript n Baseline = three-halves (1 minus one-half Superscript n)

Answers

Answer:

The answer is C

Sn=3(1-1/2^n)

Step-by-step explanation:

The expression which defines [tex]S_{n}[/tex] is option c which is [tex]S_{n} =3(1-1/2){n}[/tex].

What is geometric progression?

A geometric progression is basically a sequence in which all the terms have a common ratio. It is also known as G.P.

How to find sum of G.P.?

We have been given a sequence as 3/2+3/4+3/8+3/16+.....

If we carefully see the sequence then we will find that this sequence is a Geometric progression because there is a common ratio between all the terms that is 1/2.

Ratio of first and second term=3/4/3/2=1/2

We know that Sum of GP when n<1 is [tex]a(1-r^{n} )/1-r[/tex]

we have to just put the value of =3/2 and r=1/2 in the above formula.

[tex]S_{n}[/tex]=3/2(1-[tex]1/2^{n}[/tex])/1-1/2

=3/2(1-[tex]1/2^{n}[/tex])/1/2

=3*2/2(1-[tex]1/2^{n}[/tex])

=3(1-[tex]1/2^{n}[/tex])

Hence the expression which denotes [tex]S_{n}[/tex] is 3(1-[tex]1/2^{n}[/tex]).

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The focus of a parabola is (2, 5) and the directrix is y = 1. What is the equation of the parabola?

Answers

Answer:

y = 0.125x² - 0.5x + 3.5

Hope that this helps!

Answer:

y = 0.125x² - 0.5x + 3.5

Step-by-step explanation:

I dont know if its correct hope it helped

4. John wants to cover a box entirely with silver paper. How many square centimetres
of silver paper will he need if the box measures 22 cm long, 16 cm wide, and 10 cm deep?
A. 1 464 sq cm
B. 3 520 sq cm
C.4 164 sq cm
D. 5 230 sq cm

5. How many square decimetres of cardboard is needed to make a cubical soda cracker box measuring 2.5 dm on each edge?
A. 5.0 sq dm
B. 6.25 sq dm
C. 37.5 sq dm
D. 7.35 sq dm

6. Suppose you want to produce ping pong balls with 1.5 dm radius. What is the least
amount of rubber you would need if you want to produce 10 ping pong balls?
A. 262.8 sq dm
B. 272.6 sq dm
C. 282.6 sq dm
D. 286.2 sq dm​

Answers

Answer:

4.

l=22cm

b:16cm

h:10cm

surface area =2(lb+bh+lh)=2(22*16+16*10+22*10)

=1464cm²

5.

a=2.5dm

area cubical soda cracker box=6a²=6*2.5²=37.5dm²

6.

r=1.5dm

area of ball=4πr²=4π×1.5²=28.27dm² per ball

for 10 bal =28.27×10=282.6dm²

Find the value of x.

Answers

Answer:

x=17 plz the brainliest!

Step-by-step explanation:

3x+39=90

3x+39-39=90-39

3x=51

\frac{3x}{3}=\frac{51}{3}

x=17

Which of the following statements about the mapping is not true?

Answers

Answer:

I'm pretty sure the answer is A

Step-by-step explanation:

range can have multiple domain but domain can't have multiple ranges. So you can have (1,3) , (2,3) , (4,3)

but you can NOT HAVE (1,1) , (1,2) , (1,6)

the x value can not repeat in order for it to be a function due to the vertical line test thing

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

Answer:

25 11/28

can i have brainliest now lol

Answer:

[tex]25\frac{11}{28}feet[/tex]

Step-by-step explanation:

[tex]3+13\frac{1}{7} + 9\frac{1}{4}[/tex]

[tex]3+22\frac{11}{28}[/tex]

[tex]25\frac{11}{28}[/tex]

Plz someone help this is urgent brainlest also

Answers

Answer:

I think the answer would be b. Ariel, Amber, and Ethel because if you look at the vertical lines that are going up and down, you can count that there are 6 boxes colored in and that there are 4 left uncolored.

Step-by-step explanation:

The 6 boxes acts as the 60% and the 4 acts as 40%. If you add them together, you would get 100%. Ethel also has a horizontal line going down the center of his boxes, which makes his numbers doubled, but he still has 60% colored in. Ariel only has 5 boxes in total and 3 if them colored in, but the 3 are still 60% and the 2 uncolored are 40%. If you were to divide every box onto 2, you would end up with 10 in total, 6 colored in, and 4 uncolored.

Which of the following is equivalent to 16^3/4

Answers

Answer:

8

Step-by-step explanation:

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7). What can be said about the graph of y= -f(x)

Answers

Since the function y= f(x) is decreasing on the interval (5, 7), y = -f(x) is INCREASING on the interval (5,7), because the slope is inverted due to the negative sign.

The graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7).

The function:

y = -f(x)

Let f(x) be:

f(x) = -aˣ

Here 'a' is the real number a > 0

f(x) is decreasing on the interval ( 5, 7).

Applying transformation:

y = -f(x)

y = aˣ

Function y is increasing on the interval ( 5, 7).

Thus, the graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

Learn more about the function here:

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If m < JKN = 28° and m < KLM = 103°, find m < JML.

Answers

Answer:

152

Step-by-step explanation:

The required measure of the angle ∠JML  is given as 98°.

What is quadrilateral?

A quadrilateral is a four-sided shape as given in the picture in question.

Here,
∠KLM = ∠MJK = 103°
∠ JKL = 2×28 = 56°

The required measure of the ∠JML is given as,
A quadrilateral has 4 angles. The sum of its interior angles is 360 degrees. So the sum of the angle of the kite is equal to 360°

∠KLM + ∠ JKL + ∠MJK + ∠ JML = 360

103 + 56 + 103 + ∠JML = 360
∠JML = 98°

Thus, the required measure of the angle ∠JML  is given as 98°.

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What is the surface area of the sphere below?
5
2.5
A. 1257 units2
B. 1007 units2
C. 12573 units2
O
D. cannot be determined

Answers

Here's the solution :

In a sphere,

[tex] \boxed{ \mathsf{surface \: \: area = 4\pi {r}^{2} }}[/tex]

now, let's solve :

[tex]s = 4 \times \pi \times 5 \times 5[/tex][tex]s = 100\pi[/tex]

hence, correct answer is B. 100π unit²

The surface area of the sphere is 100 π unit².

The correct option is B.

What is Surface area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

We have,

Radius of Sphere= 5 unit

Now, the formula for Surface area of Sphere is

= 4πr²

= 4 (3.14) (5)(5)

= 4 x 3.14 x 25

= 314

= 10 π unit²

Thus, the Surface area is 10 π unit².

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Which expression is equivalent to 4sqrt x10?
Need answers ASAP!!

Answers

Answer:

The answer is x^2( [tex]\sqrt[4]{x^2}[/tex] ).

Step-by-step explanation:

To find an expression equivalent to 4 sqrt x^10, start by simplifying 4 sqrt x^10. To simplify the original equation, rewrite [tex]x^{10}[/tex] as ([tex]x^{2}[/tex])^4 [tex]x^{2}[/tex]. Then, pull terms out from under the radical, which will look like [tex]x^{2}[/tex][tex]\sqrt[4]{x^2}[/tex]. Next, rewrite [tex]\sqrt[4]{x^2}[/tex] as [tex]x^{2}[/tex][tex]\sqrt{} \sqrt{x}^2[/tex]. Finally, pull terms out from under the radical, assuming positive real numbers, which look like [tex]\sqrt[x^2]{x}[/tex], and this will simplify 4 sqrt x^10.

Now, simplify [tex]x^{2}[/tex]([tex]\sqrt[4]{x^2}[/tex] ). To simplify, rewrite [tex]\sqrt[4]{x^2}[/tex] as [tex]\sqrt{} \sqrt{x^2}[/tex]. Then, pull terms out from under the radical, assuming positive real numbers, and the final answer is [tex]\sqrt[x^2]{x}[/tex].

Finally, 4 sqrt x^10 is equivalent to [tex]x^{2}[/tex]([tex]\sqrt[4]{x^2}[/tex] ).  

The Stem-and-Leaf plot and the Box-and-Whisker Plot here display the number of shoes sold daily in a 12-day sale. What is the median number of this data set?



A. 80
B. 89
C. 84
D. 86

Answers

Answer:

I'm pretty sure it's B

Step-by-step explanation:

Let me know otherwise.

Hope it helps :)

The median of the given data is 89. Option B is correct.

We have given that,

The Stem-and-Leaf plot and the Box-and-Whisker Plot here display the number of shoes sold daily in a 12-day sale.

We have to determine the median number of this data set from the given data

What is the median?

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as the middle value.

A. 80

B. 89

C. 84

D. 86

Therefore the median of the given data is 89.

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Help me pleaseeee thank you

Answers

The answer is D 21t
For each day is an increase of 21

Answer:

D

Step-by-step explanation:

Time is directly proportional to the Cost. And if you use the calculator you'll still get the answer by substituting the time into 21t

do you think theres anyway at all that Fernando and i could ever work it out. i am crazy in love wirh him and wish that he would call me​

Answers

Answer:

I do. But keep in mind, sometimes things aren't meant to be. You may not see it now but you could be better off without him.

HELP ASAP WITH EXPLANATION THEN I WILL GIVE 100 POINTS AND BRAINIEST

Answers

Answer:7/25

if its wroung im sorry TwT

What is a,b,c and d please help me

Answers

Step-by-step explanation:

Edit:

a is 18

b is 36

c is 18

d is 18 times sqr root of 3

Answers:

a = 18b = 36c = 18d = 18*sqrt(3)

sqrt is shorthand for "square root"

=====================================================

Explanation:

The smaller triangle on the left is a 45-45-90 triangle (aka isosceles right triangle). One special property of such triangles is that the legs are the same length, meaning a = c. Another special feature is that the hypotenuse is exactly sqrt(2) times that of the leg.

In other words, if x is the leg length, then x*sqrt(2) is the length of the hypotenuse. That means mean a = 18 in order for the hypotenuse to be 18*sqrt(2). This then leads to c = 18 as well.

--------------

The smaller triangle on the right side has a = 18 as the shorter leg, opposite the smallest angle (30 degrees). The hypotenuse b is twice that of the short leg, and this works because we're dealing with a 30-60-90 triangle. Therefore b = 2a = 2*18 = 36.

The longer leg d is equal to sqrt(3) times the short leg, ie,

d = a*sqrt(3)

d = 18*sqrt(3)

You could use the pythagorean theorem to solve for d like so:

a^2 + d^2 = b^2

18^2 + d^2 = 36^2

d^2 = 972

d = sqrt(972)

d = 18*sqrt(3)

I skipped a bunch of steps, but you get the idea.

a) Area:
b) Perimeter:
13 cm
add speaker notes

Answers

Answer:

area: 169

perimeter: 52

At the beach the ratio of green towels to yellow towels is 2 : 5. What is the ratio of green towels to total towels?

Answers

Answer:

2:7

Step-by-step explanation:

Add 2+5=7 which is the total amount of towels

And as before 2 are green so it would be 2:7

Ramon's RV Sales has current assets of $1,235,500 and current liabilities of $710,150. Find the current ratio.
1.4
1.5
1.7
1.9
None of these choices are correct.

Answers

1.7 is the correct answer


The point (7,0) lies on a circle with the center at the origin. What is the area of the circle to the nearest
hundredth? Use 3.14 forn.
The area of the circle is about
square units.

Answers

9514 1404 393

Answer:

  153.86 square units

Step-by-step explanation:

The radius of the circle is 7 units. The area is given by ...

  A = πr²

  A = (3.14)(7²) = 153.86 . . . . square units

The area of the circle is about 153.86 square units.

Researchers surveyed 250 college students at one time. They were asked if they were taking any engineering classes and whether or not they felt depressed. If 75 students reported taking at least one engineering class and 15 of those students said they were depressed, what is the incidence of depression in this group

Answers

Answer:

the  incidence of the depression is  1 ÷ 5

Step-by-step explanation:

Given that

There is 250 college students that are surveyed

In the case when 75 students reported for minimum ne engineering class

And, out of this 15 students would be depressed

We need to find out the incidence of the depression

So

= 15 ÷ 75

= 1 ÷ 5

Hence, the  incidence of the depression is  1 ÷ 5

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