A normal population has mean and standard deviation . (a) What proportion of the population is greater than ? (b) What is the probability that a randomly chosen value will be less than .

Answers

Answer 1

Answer:

0.0171

0.89158

Step-by-step explanation:

Given :

μ = 60

Standard deviation , σ = 17

The probability that a randomly chosen score is greater than 96;

P(Z > Zscore)

Zscore = (score, x - μ) / σ

Zscore = (96 - 60) / 17 = 2.118

P(Z > 2.118) = 1 - P(Z < 2.118) = 1 - 0.9829 = 0.0171

The probability that a randomly chosen score is less than 81;

P(Z < Zscore)

Zscore = (score, x - μ) / σ

Zscore = (81 - 60) / 17 = 1.235

P(Z < 1.235) = 0.89158


Related Questions


[tex] {4}^{m} = \frac{1}{16} \\ find \: m[/tex]

Answers

Answer:

[tex] {4}^{m} = \frac{1}{16} [/tex]

[tex] {4}^{m} = {4}^{ - 2} [/tex]

[tex]same \: base \: so[/tex]

[tex]m = - 2[/tex]

[tex]hope \: this \: help \: u[/tex]

Answer:

Answer:

{4}^{m} = \frac{1}{16}4

m

=

16

1

{4}^{m} = {4}^{ - 2}4

m

=4

−2

same \: base \: sosamebaseso

m = - 2m=−2

hope \: this \: help \: uhopethishelpu

Consider the probability that no more than 76 out of 504 computers will crash in a day. Choose the best description of the area under the normal curve that would be used to approximate binomial probability.

a. Area to the right of 75.5
b. Area to the right of 76.5
c. Area to the left of 75.5
d. Area to the left of 76.5
e. Area between 75.5 and 76.5

Answers

Answer:

e

Step-by-step explanation:

(A) Over 1000 students organized to celebrate running water and electricity. To count the exact number of students protesting, the chief organizer lined the students up in columns of different length. If the students are arranged in columns of 3, 5, and 7, then 2, 3, and 4 people are left out, respectively. What is the minimum number of students present? Solve it with Chinese Remainder Theorem. (B) Prove that for n> 1, if 935 = 5 x 11 x 17 divides n80 – 1, then 5, 11, and 17 do not divide n.

Answers

Solution :

A). x = 2 (mod 3)        [tex]$\mu = 3\times 5 \times 7 = 105$[/tex]

x = 3 (mod 5)       [tex]$y_1=35^{-1} (\mod 3)$[/tex]

x = 4 (mod 7)        [tex]y_1=2[/tex]

[tex]$y_2=21^{-1}(\mod5) = 1$[/tex]

[tex]$y_3=15^{-1}(\mod7) = 1$[/tex]

[tex]$x=2 \times 35 \times 2 + 3\times 21\times 1+4\times 15\times 1$[/tex]

   [tex]=140+63+60[/tex]

   [tex]=263[/tex]

   ≡ 53(mod 105)

Hence the solution is 105 k + 53 > 1000 for k = 10

Therefore, the minimum number of students = 1103

B). [tex]$\phi (935) = 640$[/tex]

By  Eulu's theory

[tex]$935 | a^{640}_n -1$[/tex] if n and 935 are coprime.

Now, [tex]$935|n^{80}-1$[/tex]  and 80 x 8 = 640

[tex]$935|n^{640}-1$[/tex]   ⇒  g(n,935) = 1

                     ⇒ 5, 11, 17 do not divide n

what is the percent decrease on a Tv that has been marked down from $550 to $420? round to the nearest tenth​

Answers

24% decrease

550 - 420 = 130

130/550 = 24%

The percent decrease on a TV after the markdown to the nearest tenth​ is 23.6%.

What is the percent decrease on the TV after the markdown?

The percent decrease formula can be expressed as:

Percent decrease = [( original value - new value ) / original value ] × 100%

Given the data in the question:

The original value of the TV = $550

New value after markdown  = $420

Percent decrease =?

Plug the given values into the above formula and solve for the percent decrease.

Percent decrease = [( original value - new value ) / original value ] × 100%

Percent decrease = [( 550 - 420 ) / 550 ] × 100%

Percent decrease = [ 130 / 550 ] × 100%

Percent decrease = 0.2363 × 100%

Percent decrease = 23.6%

Therefore, the percent decrease is 23.6%.

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If you apply the changes below to the cube root parent function, F(x) = 3/x
what is the equation of the new function?
• Translate 1 unit right.
• Translate 1 unit up.
A. G(x) = 3/x-1+1
B. G(x) = 3/x +1-1
C. G(x) =3/ x - 1-1
D. G(x) = 3/x+1+1

Answers

9514 1404 393

Answer:

  A.  G(x) = ∛(x -1) +1

Step-by-step explanation:

The transformation f(x-h) +k represents a translation (right, up) by (h, k) of the parent function f(x).

Your translation of f(x) = ∛x by (1, 1) will give you the function ...

  G(x) = ∛(x -1) +1

Abraham is writing a recursive function for the geometric sequence:
24, 12, 6, 3,

Khan Academy Problem PLEASE HELP

Answers

Answer:

a1 = 24

an = an-1 × 1/2, n >1

Step-by-step explanation:

a geometric sequence is a sequence where we multiply every previous term by a certain factor to create the next term.

so, we multiply 24 by something to get 12.

and then 12 by the same something to get 6.

and then 6 by the and something to get 3.

do you see the pattern ? hmmm ?

right, we always divide by 2 (or multiply by 1/2).

the starting value a1 = 24

so,

an = an-1 × 1/2, n>1

or

[tex]an = a1 \times {(1 \div 2)}^{n - 1} [/tex]

n>1

Initial amount problem help

Answers

Answer:

3000

growth

2.2%

Step-by-step explanation:

10 ft wide by 14 ft long. if the ceiling is 8 ft high. what is the area of the four walls?

Answers

Answer: 80

Step-by-step explanation:

y – 1 = 2(x – 2), solve for y

Answers

Answer:

y = 2x-3

Step-by-step explanation:

y – 1 = 2(x – 2)

Distribute

y-1 =2x-4

Add 1 to each side

y-1+1 = 2x-4+1

y = 2x-3

please help me!!!!!!!!!!!!​

Answers

Step-by-step explanation:

24. = 249030/30

=8,301 rs

Answer:

24. 8301, divide 249030 by 30

25. 9989001, but i dont know the property

Step-by-step explanation:

If 6,000 dollars in aacount after 3 years after account earn 6% interest yearly how much do you deposit today.

Answers

I need the help for this quick app anyone can help

helppp .....................

Answers

What do you Need help with?

Answer:

D represents a proportional relationship

Step-by-step explanation:

Proportional graphs always intersect with zero

can you help me with these high rated questions
I wish you will help me with his highlighted questions​

Answers

Answer:

52 is (a)

55 is.( d)

56. is (d)

Betty received $ 500,000 from a life insurance policy to be distributed to her as an annuity certain in 10 equal annual installments with the first payment made immediately. On the day she receives her third payment, she is offered a monthly perpetuity of X in lieu of the future annual payments. The first payment will be made in exactly one month. The effective annual rate of interest is 8 %. Determine the value of X.​

Answers

9514 1404 393

Answer:

annual payment: $68,995.13monthly payment in perpetuity: X = $2394.76

Step-by-step explanation:

a) For payments made at the beginning of the period, the annuity is called an "annuity due." The formula in the first attachment tells how to compute the payment for a given present value ($500,000), number of periods (N=10), and interest rate (i=0.08).

  pmt = $500,000/(1 +(1 -(1 +i)^(-N+1))/i) = $500,000/(1 +(1 -(1.08^-9))/.08)

  pmt ≈ $68,995.13 . . . . annual payment

__

b) After the first payment, the account balance is ...

  $500,000 -68,995.13 = $431,004.87

After subsequent payments, the account balance will be ...

  $431,004.87×1.08 -68,995.13 = $396,490.13 . . . after 2nd payment

  $396,490.13×1.08 -68,995.13 = $359,214.21 . . . after 3rd payment

The payment amount that can be made in perpetuity is the amount of the monthly interest on this balance:

  X = $359,214.21 × (0.08/12) = $2394.76

2) If licorice cost $6.59 a pound, how much would it cost to buy a quarter pound of licoric
(Hint: Convert the mixed fraction to an improper fraction or decimal and multiply by th
quantity required)

Answers

Answer:

$1.65

Step-by-step explanation:

[tex]6.59*.25=1.65[/tex]

or

[tex]6.59*\frac{1}{4} =1.65[/tex]

Find the intercepts of the function y = 3x + 9

Answers

Step-by-step explanation:

To solve for the x-intercept, set y=0 then solve for x.

y=−3x−9. 0=−3x−9. 3x=−9.

x=−3 when y=0.

To solve for the y-intercept, set x=0 then solve for y.

y=−3x−9. y=−3(0)−9. y=−9 when x=0.

Hi there!

Y-intercept:

Set the x value to 0:

y = 3(0) + 9

y = 9 --> (0, 9)

X-intercept:

Set the y value to 0:

0 = 3x + 9

Solve for x:

-9 = 3x

x = -3 --> (-3, 0)

if ABCD is a parallelogram,find m>D and angle C=(9×-1) and angle A=(13×-25)

Answers

9514 1404 393

Answer:

  ∠C = ∠A = 53°

  ∠D = 127°

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so ...

  ∠A = ∠C

  13x -25 = 9x -1

  4x = 24

  x = 6

  ∠C = ∠A = 9(6) -1

  ∠C = ∠A = 53°

Adjacent angles of a parallelogram are supplementary.

  ∠D = 180 -∠C

  ∠D = 180 -(9(6) -1) = 180 -53

  ∠D = 127°

HELP PLEASE, Function problem

Answers

Answer:

-2

-1

-2

Step-by-step explanation:

please forgive me, but again, this is the simplest of the simplest things. how is that a problem ?

this costs so much more time to just put it in here and then copy answers than just doing it. this is literally a matter of seconds.

the functional value is -2 for all x that are not equal to 2.

and the functional value is -1, when x = 2

so, what is the problem ?

please see my other answer for more details on the solution.

Find the exact values of the six trigonometric functions at “a” given cos(2a) = - 4/5 and a is
in the 2nd quadrant.

Answers

If a is in the second quadrant, then cos(a) < 0 and sin(a) > 0.

Recall the double angle identity for cosine:

cos(2a) = 2 cos²(a) - 1 = 1 - 2 sin²(a)

It follows that

2 cos²(a) - 1 = -4/5   ==>   cos²(a) = 1/10   ==>   cos(a) = -1/√10

1 - 2 sin²(a) = -4/5   ==>   sin²(a) = 9/10   ==>   sin(a) = 3/√10

Then we find

1/cos(a) = sec(a) = -√10

1/sin(a) = csc(a) = √10/3

sin(a)/cos(a) = tan(a) = -3

1/tan(a) = cot(a) = -1/3

The price of a certain item is P dollars. The sales tax on the item is 7%. Which expressions represent the total cost of the item, in dollars, after the tax has been applied? Select EACH correct anwser

0.07P 1.07P P+0.07P 1+0.07P (1+0.07)P

Answers

Step-by-step explanation:

P = $ Dollars

Item = 7%

Answer

item 7/100 = 0.07/1 item

(1+0.07) P

Complete the table for the function y = x−−√3 + 7.

Answers

Answer:

option D (5 6 8 9) is the answer

Answer:

X [tex]\Longrightarrow -8\Longrightarrow -1\Longrightarrow 1\Longrightarrow 8[/tex]

Y[tex]\Longrightarrow 5\Longrightarrow 6\Longrightarrow 8\Longrightarrow 9[/tex]

[tex]Answer\hookrightarrow D)[/tex]

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

Hope it helps...

Have a great day!!

During​ spring, young​ moose, unfamiliar with roads and​ traffic, are wandering around at night in a​ province, causing risk and road accidents. Suppose that the average number of road accidents involving moose was per day. The government increased the number of hunting licenses and cleared brush to improve​ drivers' visibility. On one day after these measures were​ implemented, there were road accidents involving moose. ​

Required:
a. What would be the chance of such accidents or​ fewer, assuming the​ government's measures were​ ineffective? ​
b. Do you think the​ government's measures were​ effective? State your reasons clearly.

Answers

Answer: A not b
Because it’s just not

Which of the following is the vertical asymptote for the graph below?

Answers

Answer:

C

Step-by-step explanation:

Vertical asymptotes are always in the form x = ?

If you look at the dotted line, it lands on 2.  Because it's a vertical line, the asymptote is going to be x = 2


According to the scale drawing, how wide will the actual patio be?
m
Garden
Patio
7 cm
Scale 1 cm: 2 m

Answers

The width of the actual garden patio according to the scale drawing is 14 meters.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Given the scale of 1 cm : 2 m

For a patio of 7 cm, then:

Actual patio = 7 cm / (1 cm/ 2m) = 14 m

The width of the actual garden patio according to the scale drawing is 14 meters.

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The Tres Difficult race helps raise money for charity. According to the website, of the proceeds from ticket sales go directly to charity.
2/5
Last year they made $8000 from ticket sales. How much was given to charity?

Answers

Answer:

3200

Step-by-step explanation:

We need to find 2/5 of the tickets sales

2/5 * 8000

3200

Answer:

3200

Step-by-step explanation:

you need to find what 2/5 is and the you take that away from 8000 and then you have your answer of 3200

Remember the dataset of alligators which was about the length and weight of several aligators in Florida. The variable X is the length of aligator and the Y variable is the weight of them. A researcher decided to use decision tree and designed two steps: X<4, X>4. What is the name of this method of splitting?A. Multi-way splitting.B. Entropy classification.C. Binary splitting.D. Gini index.

Answers

Answer:

A. multi-way split.

Step-by-step explanation:

Multi way split consists of internal at decision tree branches. Gini index measures probability of impurity in the random variables chosen. Entropy is measure of uncertainty in the sample selected. Binary splitting is used to speed up numerical evaluation.

he following chart reports the number of cell phones sold at a big-box retail store for the last 26 days. a. What are the maximum and the minimum numbers of cell phones sold in a day? b. Using the median, what is the typical number of cell phones sold?

Answers

Answer:

Maximum = 19

Minimum = 4

Median = 12

Step-by-step explanation:

The maximum number of phone sold per day is the value to the right of the horizontal axis as the values are arranged in ascending order ; Hence, the maximum number of phones sold per day is 19

Also, the minimum number of phones sold per day is the value to the left of the plot, Hence, minimum number of phones sold per day is 14.

The Median value : 4, 9, 14, 19

The median = 1/2(n+1)th term

1/2(5)th term = 2.5 th term

Median (9 + 14) /2 = 13 /2 = 11.5 = 12 phones

Estimate the square root between two consecutive whole numbers of sqrt [55]

Answers

9514 1404 393

Answer:

  7.4 . . . . between 7 and 8

Step-by-step explanation:

55 is between the perfect squares 49 = 7² and 64 = 8². Using linear interpolation, the square root is approximately 7 +(55-49)/(64-49) = 7 6/15 = 7.4

√55 ≈ 7.4 . . . . approximate root by linear interpolation

_____

Additional comment

A way to improve the estimate of the root is to use the "Babylonian method" of iterating the root. Divide the original number (55) by the estimate of the root, and average that result with the estimate:

  next best guess = (55/7.4 +7.4)/2 = 7 77/185 ≈ 7.4162_162(repeating)

This matches the actual root when rounded to 4 decimal places. The number of accurate decimal places approximately doubles with each iteration.

__

Another way to improve the estimate is to modify the fractional portion. (The above method converges on a root more quickly.) For this, the iteration of the fractional part of the root is ...

  next fractional part = 6/(14 +(fractional part))

where 6/14 is the linear estimate fractional value with 1 subtracted from its denominator.

For one iteration, the new estimate of the fractional part is 6/(14 +6/15) = 5/12, so the root estimate is about 7.4167 compared to the above 7.4162.

There are two 5s in the number 855,309. Rico
says that the 5 in the ten-thousinds place is 1000
times greater than the 5 to its right. Is she correct?
Explain how
you know

Answers

Answer:

no it is 10 times greater because we use the base 10 system where each number to the left is 10 times greater

Step-by-step explanation:

Evaluate each expression.

Answers

#1 is 3
#2 is 0
#3 is -2
#4 is 7
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