Consider the probability that fewer than 46 out of 134 students will not pass their college placement exams. Assume the probability that a given student will not pass their college placement exam is 98%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
a. Yes
b. No

Answers

Answer 1

Answer:

b. No

Step-by-step explanation:

Binomial approximation to the normal:

Binomial distribution has n trials, with p probability.

If

[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], it can be approximated to the normal distribution.

Assume the probability that a given student will not pass their college placement exam is 98%.

This means that [tex]p = 0.98[/tex]

134 students:

This means that [tex]n = 134[/tex]

Necessary conditions:

[tex]np = 134*0.98 = 131.32 \geq 10[/tex]

[tex]n(1-p) = 134*0.02 = 2.68 < 10[/tex]

Since the necessary condition n(1-p) < 10 is not satisfied, the answer is No, given by option b.


Related Questions

help help help help pleaseeeee

Answers

Answer:

h=13

P=5

b=12

Step-by-step explanation:

tanA=p÷b=5÷12sinA=p÷h=5÷13cosA=b÷h=12÷13

11. The Smith Family Restaurant has 300 tables. On one evening, there were reservations for 1/10 of
the tables. How many tables were reserved?

What is the answer for this question

Answers

Answer:

30 tables

Step-by-step explanation:

1/10 of 300 is 30

Answer:

30 tables were reserved

Step-by-step explanation:

1/10 × 300 = 30

Complete the square to find
the vertex of this parabola.
x2 - 6x – y + 17 = 0
([?], [])

Answers

Don’t click the link it’s a scam

Answer:

(3,8)

Step-by-step explanation:

;)

!!MATH!! !!100 POINTS!! !!WILL MARK BRAINLIEST!!

Answers

Answer:

PQO = 180

OQR = 180

PQR = 220

Step-by-step explanation:

brainliest

PLSSS If you spin the spinner 10 times, what is the best prediction possible for the number of times it will land on pink? ​

Answers

Answer:

3 times

Step-by-step explanation:

Probability of landing on pink:

P(pink) = number of pink / total number = 3/10

If spun 10 times then possible outcomes with pink:

3/10*10 = 3 times

Answer:

3 times, or [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

There are 3 out of 10.

What is 125% of 144?

Answers

Answer:

180

hope this helps :)

144 x 125/100 = 180
................

k/4 +3=14 What is the answer to this question?

Answers

Answer:

k=44

Step-by-step explanation:

How many people ordered beer?

*it is not 15

Answers

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

Answer:

18

Step-by-step explanation:

Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.

If f(x)=3-x^2,find f(-2)

Answers

Answer:-1

Step-by-step explanation:f(x)=3-x2

This is also...

f(x)=3+[(-1)(x2)]

We will execute the exponential. Then, we will multiply the result by the coefficient of -1.

f(-2)=3-(-2)2

f(-2)=3-(+4)

f(-2)=3-4

f(-2)=-1

Find the perimeter of a quadrilateral with vertices at C (-1, 2), D (-2, -1), E (2, -2), and F (1, 1). Round your answer to the nearest hundredth when necessary.

A. 10.92 units
B. 12.68 units
C. 13.43 units
D. 18.27 units

Answers

Answer:

B 12.68

Step-by-step explanation:

you will need to find the distance between each segment-

so the length of DC, CF, FE, ED

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

DC:

D(-2,-1) C(-1,2)

[tex]d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16[/tex]

CF:

C(-1,2) F(1,1)

[tex]d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24[/tex]

FE

F(1,1) E(2,-2)

[tex]d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16[/tex]

ED

E(2,-2) D(-2,-1)

[tex]d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\[/tex]

3.16+2.24+3.16+4.12= 12.68

The following data show the average retirement ages for a random sample of workers in the United States and a random sample of workers in Japan. Perform a hypothesis test using α = 0.05 to determine if the average retirement age in Japan is different from the United States. Calculate the test-statistics (round to 3 decimals - report the absolute value).

Answers

Answer:

[tex]t \approx 2.639[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}{} & {USA\ 1} & {Japan\ 2} & {\bar x} & {64.6} & {67.5} &{n} & {30} & {30} & {\sigma} & {4.0} & {4.5} \ \end{array}[/tex]

See attachment for data

Required

Determine the test statistic

The test statistic is calculated using:

[tex]t = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}}[/tex]

So, we have:

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{4.0^2}{30} + \frac{4.5^2}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00}{30} + \frac{20.25}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00+20.25}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{36.25}{30}}}[/tex]

[tex]t = \frac{-2.9}{\sqrt{1.2083}}[/tex]

[tex]t = \frac{-2.9}{1.099}[/tex]

[tex]t \approx -2.639[/tex]

The absolute value is:

[tex]t \approx 2.639[/tex]

please help! Thank you :) also don't spam for points I know a moderator

Answers

Answer:

1) True

2) False

3) True

4) True

5) False

I totally need helppppppppp. Oh no im gonna faillllllll.
10 + 9
PLs send help


(I'll give brainliest if you answer right

Answers

Answer:

19 will be the answer.

Step-by-step explanation:

10+9=19

Answer:

19

Step-by-step explanation:

can i get brainiest

Which statement is accurate for the right triangle shown below?

50
1
a
47

Answers

Answer:

The statement that is accurate is csc(θ)=1.06

Step-by-step explanation:

Looking at the reference angle in this triangle, we can see that the side that is 47 units is opposite of it, the side that is 50 units is the hypotenuse, and the side that is 17 units is adjacent to it.

Because we know this, we can plug our sides into the formula for cscθ, secθ, and cotθ.

So:

cotθ=adjacent/opposite = 17/47= 0.36

cscθ=hypotenuse/opposite = 50/47=1.06

Now without even looking at the other statements, we can see that the second one is correct as cscθ=hypotenuse/opposite = 50/47=1.06

Therefore, the statement that is accurate is csc(θ)=1.06.

Please HELP ASAP!!! The dot plot show the number of hours teenagers spent on two different websites last week. Which statement is supported by the data in the dot plots? (F.) the mode of the data for website K is greater than the mode of the data from website L. (G.) the range of the data for website L is equal to the range of data for website K. (H.) the distribution of data for website L is symmetrical. (J.) the distribution of data for website K is skewed to the left. ​

Answers

Answer:

(F.) the mode of the data for website K is greater than the mode of the data from website L

Step-by-step explanation:

Mode simply means the parameter that occurs the most.

In website K, the one that occurs the most is 8 hours while in website L, the one that occurs the most is 2 hours.

This means that mode of website K is greater than that of website L.

Thus,statement F is correct

Range is the difference between the highest value and the lowest value..

For website K, Range = 14 - 1 = 13

For website L, Range = 13 - 1 = 12

Thus,range of both websites are not the same and as such statement G is wrong.

For a symmetrical distribution, the left and right hand sides of the centre value line of the distribution have to mirror each other.

In this case neither website K nor L have that. Thus, statement H is not correct.

Skewed to the left means that more o

dot points are found to the left of the graph.

For website L, more dot points are located to the left while for website K, it's not the case. Thus, statement J is not correct

Answer:

f

Step-by-step explanation:

In Ms. Chance's first period class, there are 9 students with hazel eyes, 10 with brown eyes, 7 with blue eyes, and 2 students with green eyes. Ms. Chance picks a student at random. Which color eyes is the student most likely to have?

Answers

Answer:

Brown eyes

Step-by-step explanation:

10/28 Fraction form

0.3571 Decimal form

35.71 % Percentage form

10 is the greatest number out of all the other colors

help me u get brainliest plus more points :D

Answers

Answer:

6 is 56.25

7 is 97.50

Step-by-step explanation:

: Find the equation of the tangent line to the curve f(x)= e^xat x_0= 2, and show this line on the graph.

Answers

The tangent line to f(x) = e ˣ at the point x = 2 has slope equal to f ' (2):

f(x) = e ˣ   →   f '(x) = e ˣ   →   f ' (2) = e ²

At x = 2, the function takes on a value of f (2) = e ². Use the point-slope formula to get the equation of the tangent line:

y - e ² = e ² (x - 2)

Solve for y :

y = e ² x - e ²

a rectangle has an area of 140. length is 4 feet longer than the width. I need to find the length and the width

Answers

Answer:

140=(w+4)×w

140=w²+4w

w²+4w-140

w=10

l=w+4

l=14

ITS DUE TODAY PLS HELP

The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square inches
The volume of the ball is approximately
cubic Inches

Answers

Answer:

i. The surface area of the ball is approximately 28.0 square inches.

ii. The volume of the ball is approximately 14.0 cubic inches.

Step-by-step explanation:

The ball has the shape of a sphere, so that;

C = 2[tex]\pi[/tex]r

9.4 = 2 x [tex]\frac{22}{7}[/tex] x r

65.8 = 44r

r = [tex]\frac{65.8}{44}[/tex]

r = 1.50 inches

The radius of the ball is 1.50 inches.

i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]

So that,

surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]

                                             = 28.2857

The surface area of the ball is approximately 28.0 square inches.

ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

Volume of the ball =  [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]

                               = 14.1429

The volume of the ball is approximately 14.0 cubic inches.

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

Hi it's down below! Hope it helps

Step-by-step explanation:

1) The angles are Supplementary

This is because both angles form 180°. The angle below angle "7x+9" is the same as 5x+3.  The angle above angle"5x+3" is the same as 7x+9.

2) They are both supplementary

They form 180°

3)180° = 12x+12°

4) Solving that:

180° - 12° = 12x

168° = 12x

x = 168°/12

x = 14°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

the answer is 14°

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

hey guys i got one more- 8 mi.=_yd. Thanks!!!(PLEASE ANWER FAST!!)

Answers

Answer:

if mi stands for miles then 8 miles = 14080 yards

Step-by-step explanation:

8 x 1760

Answer:

14080

Step-by-step explanation:

8 * 1760 = 14080

please help :( i don’t understand!
An engineer estimated the weight of a steel beam to be 150 pounds. The actual weight of the beam was 143 pounds.
Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.

absolute error = ? (pounds)
percent error = ? (%)

Answers

Answer:

absolute error: 7 pounds

percent error:4.9%

Step-by-step explanation:

Absolute error:

150-143=7 pounds

Percent error:

=l[tex]\frac{150-143}{143}[/tex] l x 100

=l[tex]\frac{7}{143}[/tex]l x 100

=0.04895x100

=4.895...

=4.9%

Which expression shows the factors of 2y2 − 2y − 4?
A. 2(y − 2)(y − 1)
B. 2(y − 2)(y + 1)
C. 2(y − 1)(y − 2)
D. 2(y − 1)(y + 2)

Answers

Answer:

2(y-2)(y+1)

Step-by-step explanation:

Help how do you simplify this????!!!

Answers

3/5? you can’t simplify it anymore

Answer:

3/5

Step-by-step explanation: its on the page the yellow text you add the top numbers but the bottem number stays the same

Emily bought a pack of pencils. Before she sharpened them, she measured one pencil and it was 0.22 m long When she sharpened one, she shaved off 1.2 cm. How many centimeters is her sharpened pencil?​

Answers

Answer:

20.8cm

Step-by-step explanation:

1 meter is 100cm

.022m is 22cm

22cm-1.2cm=20.8cm

Someone needs to hear this. So here it is. God will pull you through. You just need to have faith. You just have to keep going. Do not give up. Things will get better. What is important to you is important to the lord. So pray and He will listen.

Answers

Answer: thank you

Step-by-step explanation:

Answer:

Thanks!

Step-by-step explanation:

find the total surface area of the prism. geometry hw. plz help me

Answers

Answer:

152

Step-by-step explanation:

Hello there!

The prism shown is a triangular prism

There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one

Formula: SA = bh + L(s1 + s2 + s3) (found in the image)

b = base length

h = height

L = length

s1 = (same thing as the base length)

s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)

The triangular prism has the following dimensions

b = 6

h = 4

L = 8

s2 and s3 = 5

Now that we have identified each dimension we plug in the values into the formula

SA = 6*4 + 8(6+5+5)

6*4=24

8*6=48

8*5=40

40*2=80

80+48=128

128 + 24 = 152 so the surface area of the triangular prism is 152 cm²

Johnny was able to drive an average of 29 miles per hour faster on his car after the traffic cleared. He drove 30 miles in traffic before it cleared and the drove another 176 miles. If the total trip took 6 hours, then what was his average speed in traffic?

Answers

Answer:

15 mph

Step-by-step explanation:

Before traffic cleared:

distance = 30 miles

average speed = s

time = t

d = st

30 = st

After traffic cleared:

distance = 176 miles

average speed = s + 29

time = 6 - t

d = st

176 = (s + 29)(6 - t)

30 = st

s = 30/t

176 = (30/t + 29)(6 - t)

176t = (30 + 29t)(6 - t)

176t = 180 - 30t + 174t - 29t^2

29t^2 + 32t - 180 = 0

(29t + 90)(t - 2) = 0

t = -90/29 or t = 2

Time must be a positive number, so we discard the solution t = -90/29.

t = 2

30 = st

30 = s * 2

s = 15

Answer: 15 mph

A van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which equation could be used to find x, the number of days the car be rented if they want to spend exactly $760.00 on the van rental.

A. 75.00 + 160.00x = 760.00
B. 75.00x – 160.00 = 760.00
C. 75.00 – 160.00x = 760.00
D. 75.00x + 160.00 = 760.00

Answers

8 days—> because if you 160 insurance is already added, subtract that to get your original price since that’s what is actually being counted.
So I did 760-160=600
600/75=8
Also your answer is D.
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