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

Which graph or table shows a proportional relationship? Select all that apply.

Answers

Answer:

The number of days and total miles run one.

Step-by-step explanation:

A proportional relationship is y/x being the same everytime. The first table doesnt fit with that. The second graph isnt a straight line. The third table isnt coreect either. Lastly the forth table workng.

Sorry if im incorrect

The data reflects the number of days since a plant has
been transplanted (x), paired with the plant height (y).
How can the y-intercept of the line be interpreted?
y
O Every 0.07 days the plant grows 0.81 inches.
O Every 0.81 days the plant grows 0.07 inches.
O Initially, the plant had a height of 0.07 inches.
O Initially, the plant had a height of 0.81 inches.
14
y = 0.81.x + 0.07
12 +
10
8
Growth (inches)
2
4
G
8
10
12 14
16
18
20
Number of Days

Answers

Answer:

I think its b. Every 0.81 days the plant grows 0.07 inches.

Step-by-step explanation:

i took the same test on egd.

Answer:

c. Initially, the plant had a height of 0.07 inches.

Step-by-step explanation:

EDGE 2023

A couple is trying to save for down payment on their first house. They wish to have $25,000 in 8 years. How much should they invest monthly in an account that pays 6.1% compounded annually

Answers

Answer:

I this 500$

Step-by-step explanation:

Help please will mark brainliest

Answers

Answer: 22.9

Step-by-step explanation: Perimeter of a triangle is the sum of all side lengths, in this case, 4, 5, and 13.9, and the sum is 22.9. Hope this helps, and have a great day!

Answer:

22.9 i think

Step-by-step explanation:

Solve x2 - 8x - 9 = 0.

Rewrite the equation so that it is of the form
x2 + bx = c.

Answers

Answer:

x2-8x=9

Step-by-step explanation:

you move the negative nine to the other side of the equals to become positive

(7.3x105) + (3.7x105) science notation form please help me

a
1.10x10^11
b
11.0x10^5
c
1.1x10^10
d
1.1x10^6

Answers

9514 1404 393

Answer:

  d.  1.1×10^6

Step-by-step explanation:

As with other kinds of sums, factoring out a common factor can make it easier.

  (7.3×10^5) + (3.7×10^5) = (7.3 +3.7)×10^5 = 11.0×10^5

Please note this is the sum, and it matches answer choice B, but it is not "scientific notation." To put this back in scientific notation, we must move the decimal point 1 place to the left. That rewrite looks like ...

  11.0×10^5 = (1.1×10^1)×10^5 = 1.1×(10^1×10^5) = 1.1×10^(1+5) = 1.1×10^6

Aidans hourly salary is $11. If Aidan normally works a 40 hour week , then how much is normally earned in a week?

Answers

Answer:

$440

Step-by-step explanation:

40 x 11 = your answer 440

Need the answer to angle 1 angle 2 and angle 3

Answers

Answer:

angle 1= 120 and angle 2 and 3 = 30

Step-by-step explanation:

Answer:

answer is below

Step-by-step explanation:

angle1=120°

[tex]angle2=angle3=\frac{180-120}{2} =30[/tex]°

Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 5 x minus 9 when x is less than 0 and the absolute value of the quantity 2 minus x when x is greater than or equal to 0 -9 -7 2 The limit does not exist.

Answers

Answer:

The limit does not exist

Step-by-step explanation:

The first step would be to try to evaluate the functions at x = 0

5x - 9 => 5(0) - 9 = -9

| 2 - x | => | 2 - 0 | = 2

So they can be evaluated at x = 0, and it gives two different answers so the limit does not exist

Answer:

The limit does not exist

Step-by-step explanation:

By evaluating both functions we see that we get -9 and 2, because they are not equal to each other the limit does not exist.

Translate this sentence into an equation.

54 is the sum of 15 and Jenny's age.

Use the variable j to represent Jenny's age.

Answers

Answer:

54= 15 + J

Step-by-step explanation:

j= 39

HURRY FAST LOOK AT THE PHOTO TRUE OR FALSE

Answers

That is true. 4 and 5 are corresponding angles.

The graph for y≥-3.
true
false
helpp me​

Answers

The answer is false.

Answer:

I think it's false

Step-by-step explanation

Anyone know the answer

Answers

Step-by-step explanation:

[tex]4x - 16 + 2x + 16 = 180 \\ 6x = 180 \\ x = 30[/tex]

Step-by-step explanation:

A straight line has 180° so we can set

4x-16+2x+16=180

6x=180

x=30

Hope that helps :)

What is the value of d and w?

Answers

Answer:

d = 65

w = 55

Step-by-step explanation:

w + 90 + 35 = 180

w + 125 = 180

w = 55

35 + x = 60 (Vertical angle thm)

x = 25

d + x = 90

d + 25 = 90

d = 65

Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.

Answers

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

so

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29

Can someone help me!

Answers

Answer:

m∠A = 48.81°

Step-by-step explanation:

Given triangle is a right triangle and we have to measure ∠A.

Since, opposite side and adjacent sides of angle A has been given

So we will apply tangent rule to get the measure of angle A.

tan(∠A) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(∠A) = [tex]\frac{8}{7}[/tex]

∠A = [tex]\text{tan}^{-1}(\frac{8}{7})[/tex]

∠A = 48.814

  ≈ 48.81°

The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?

Answers

Answer:

7<x<31

Step-by-step explanation:

The third side of any triangle must be more than the difference between the other two sides.

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

Put them together.

7<x<31 (or) 31>x>7

7<x<31 are the possible values of x.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that  side lengths of a triangle are 12, 19, and x units.

We need to find the value of x.

We know that the third side of any triangle must be more than the difference between the other two sides.

x is greater than difference of nineteen and twelve

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

From this we get the interval as

7<x<31 (or) 31>x>7

Hence, 7<x<31 are the possible values of x.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $634.25. How many children and how many adults swam at the public pool that day?​

Answers

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

         -2a -     2c = -642

(+)       2a + 1.75c = 634.25

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

                 -0.25c = -7.75

Divide both sides by -0.25

c = 31

Use the first equation to find a.

a + c = 321

Substitute 31 for c.

a + 31 = 321

Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

120 children and 388 adults bought tickets for the swimming pool
Explanation:
Create two simultanous equations:
Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being
c
+
a
=
508
then, you now create a second equation for the prices of the tickets.
(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected
so:
1.75
c
+
2.25
a
=
1083.00

now we still know, that
a
=
508

c

so we can substitute it into the second formula
1.75
c
+
2.25
(
508

c
)
=
1083

now its just simple algebra
1.75
c
+
1143

2.25
c
=
1083

60
=
0.5
c
so:
c
=
120
now we know, that 120 children went to the swimming pool.
and we still have the formula from before:
a
=
508

c
so
a
=
388

Solve for x. Plzz help me

Answers

Step-by-step explanation:

The diagram resembles a right angled triangle,

So, By Pythagoras theorem,

(11)²=(4)²+x²

= 121=16+x²

= 121-16=x²

= 105=x²

= root105 =x

A manufacturer is planning to sell a new product for $150 each and estimates that if it spends x thousand dollars on development and y thousand dollars on promotion will sell approximately
320y/(y+2) + 160x/(x+4) unit
The cost to produce each unit of that product is $50. If the producer spends a total of $8,000 on development and promotion, how should this money be allocated to get the maximum profit?

Answers

The maximum profit is achieved when the manufacturer spends $4,000 on development and $4,000 on promotion.

How to calculate the profit

The profit is given by

(150 - 50) * (320y/(y+2) + 160x/(x+4)) - x - y

= 100 * (320y/(y+2) + 160x/(x+4)) - x - y

= 32000y/(y+2) + 16000x/(x+4) - x - y

We want to maximize this function subject to the constraint that x + y = 8.

We can do this by using Lagrange multipliers. The Lagrangian is given by

L = 32000y/(y+2) + 16000x/(x+4) - x - y + lambda(x + y - 8)

Setting the partial derivatives of L with respect to x, y, and lambda equal to zero, we get the following equations:

32000/(y+2) - 1 - lambda = 0

16000/(x+4) - 1 - lambda = 0

x + y - 8 = 0

Solving these equations, we get x = 4, y = 4, and lambda = 0.

Therefore, the maximum profit is achieved when the manufacturer spends $4,000 on development and $4,000 on promotion.

Leaen more about profit on

https://brainly.com/question/1078746

#SPJ1

A file that is 263 megabytes is being downloaded. If the download is 17.6% complete how many megabytes have been downloaded?

Answers

Answer:

46.288 megabytes

Step-by-step explanation:

megabytes that have been downloaded

= 17.6% of 263

[tex] = 0.176 \times 263 \\ = 46.288[/tex]

according to the weather report, what is the chance of rain or snow?
A. 10%
B. 90%
C. 50%
D. 6%

Answers

Answer:

50? or together will be 90?

Just add the two ratios 48+42=90%

Hope you get it :)

What is there area 6m 4cm triangle

Answers

Answer:

12cm squared

Step-by-step explanation:

Since the area of a triangle is BxH/2, the area will be 24/2. That equals 12cm squared.

In ΔLMN, the measure of ∠N=90°, MN = 3.4 feet, and NL = 7.5 feet. Find the measure of ∠L to the nearest tenth of a degree.

Answers

Answer:

24.4

Step-by-step explanation:

just did it delta


-5 a root of the Quadratic
equation n² - 8n-65 = o.
What is the other root of the
equation​

Answers

Answer:

13

Step-by-step explanation:

It is a quadratic equation meaning it has 2 factors and since one of it has root -5, the first factor is (n + 5),

So, we have (n + 5)(n + a) = n^2 + an + 5n + 5a

Thus, by comparison,

n^2 + (5 + a)n + 5a = n^2 - 8n - 65 = 0

5 + a = -8

5a = -65

a = -13

Thus, the other factor is (n -13) and root is 13

Question is attached. Thanks

Answers

Answer:

The third one

Step-by-step explanation:

The third one is the answer !

PLEASE HELP ME WITH GEOMETRY :(

Answers

Answer:

1st option

Step-by-step explanation:

You have to take the radius and times it by 1 which gives you 8 in.

A triangular prism with dimensions is shown below.
5 ft
3 ft
8 ft
What is the volume of the triangular prism in cubic feet?
O A. 120 ft
O B. 20 ft
O C. 40 ft?
O D. 60 ft

Answers

The answer is A. 120 ft.

help plz with Algebra question I attached a file

Answers

Answer:

x=4.63

Step-by-step explanation:

Area = (1/2) (base) (height)

20 = (1/2) (x+4) (x)

40 = x²+4x

x²+4x-40=0

Put in quadratic equation:

x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]

x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]

x=4.63324958071 or x=-8.63324958071

Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63

AHHH HELP ILL GIVE BRAINLIEST!!!

Answers

Answer:

B

Step-by-step explanation:

B) $37.50 for 3 hours
Other Questions
William says that 15years from now his age will be 3 times his age 5 years ago if x represents williams present age complete the following sentences An investor has two bonds in her portfolio, Bond C and Bond Z. Each bond matures in 4 years, has a face value of $1,000, and has a yield to maturity of 8.9%. Bond C pays a 10% annual coupon, while Bond Z is a zero coupon bond. Assuming that the yield to maturity of each bond remains at 8.9% over the next 4 years, calculate the price of the bonds at each of the following years to maturity. Years to Maturity Price of Bond C Price of Bond Z4 $ $ 3 $ $ 2 $ $ 1 $ $ 0 $ $ why are magma types categorized by the amount of silica they contain To increase the potential energy of the system, what did you have to do? In December, Sara's Sodas produced 4.4 million liters of the beverage. Manufacturing overhead was $1,420,000 and the cost per liter was $0.44. Labor costs were 20 percent of materials cost.Required:a. Calculate the materials cost for December (Enter your answer in dollars not in millions.) b. Calculate the labor cost for December (Enter your answer in dollars not in millions.) a strong belief in the governance of fate over one's life would most likely be an example of: p=. RS. 200, R= 6%per six months. T= 3years You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inches.What is the total length of fabric that you need ? mention four consumer protection agency Multiple Choice: Choose the best answer.In the study of the medium ground finch, Geospiza fortis, the significant regression of mean offspring beak depth on mid-parent beak depth supports which of Darwin's four postulates?A) individuals within species are variableB) some of these variations are passed on to offspringC) in every generation more offspring are produced than can surviveD) the survival and reproduction of individuals are not randomE) "A" and "B" Imagine looking for a certain angle whose cosine is positive and whose sine is negative. Part 1: Name the two quadrants in which cosine is positive. Part 2: Name the quadrants in which sine is negative. Part 3: Use the information in parts a and b to identify the quadrant in which cosine is positive and sine is negative. Part 4: Write down one angle, in degrees, that has a negative sine and a positive cosine. Part 5: Using your calculator, confirm your choice by writing the cosine of your angle and the sine of your angle below. Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. 3t y'' - 9y' + 18y = 6t e y(0) = 5, y'(0) = -6 " Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Sarah to end up with $410? assim manages his team with a strong focus on goals and how to achieve them with maximum efficiency and effectiveness. According to Fred Fiedler Leadership Contingency Model, Jassim is a(n) leader. a. Task-oriented b. Behavior-oriented c. Relationship-oriented d. Affiliation-oriented Solve the equation. Find all real solutions.9r3 - 144r = 0 3 The closing process is a two-step process. First revenue, expense, and withdrawals are set to zero balance. Second, the process summarizes a period's assets and expenses. True or False Read It!Lulu the kangaroo is a hero. She helped save her owner, a farmer named Leonard Richards. One day, Richardswas outside, and a branch hit him on the head. He could not get help. Lulu got help for him. She started barking,Soon, Richards' wife came to see what was wrong.Do It!Lulu knew that Richards wasA kindBsafestrongDhurt Petra finds a discolored stain on the carpet at a suspected crime scene. What two presumptive tests might she use to determine if the stain is blood? First, Petra sprays the discolored area with , which returns a glowing blue color. However, she knows that this chemical might also turn blue with other substances that contain iron. Subsequently, she uses , which turns pink, indicating the presence of hemoglobin. Searing meat involves which of the following?A. Cooking it slowly for a long timeB. Cutting into small pieces and browning itC. Cooking it on one side at high heat until it is brownD. Immersing it in flavored liquid during the cooking process Introduction/Background information include relevant facts and issues on company. Competitors, industry Financial Analyses Provide answers based on both qualitative and quantitative analyses to the following questions:What percentage of its revenue earning equipment does Hertz depreciate each year?Do the changes in Hertzs depreciation of its revenue earnings equipment materially affect the companys profitability?What are some potential reasons to explain the changes in Hertzs depreciation of its revenue earning equipment?