Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a given day, 20 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable, what is the probability that two or more online retail orders will turn out to be fraudulent

Answers

Answer 1

Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}[/tex]

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

[tex]P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483[/tex]

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.


Related Questions

Colton makes the claim to his classmates that less than 50% of newborn babies born this year in his state are boys. To prove this claim, he selects a random sample of 344 birth records in his state from this year. Colton found that 176 of the newborns are boys. What are the null and alternative hypotheses for this hypothesis test

Answers

Answer:

Null hypothesis:[tex]p \leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing we got:

[tex]z=\frac{0.512-0.5}{\sqrt{\frac{0.5(1-0.5)}{344}}}=0.445[/tex]  

Step-by-step explanation:

Information given

n=344 represent the random sample taken

X=176 represent the anumber of boys babies

[tex]\hat p=\frac{176}{344}=0.512[/tex] estimated proportion of boys babies

[tex]p_o=0.5[/tex] is the value that we want to check

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypotheis to verify

We want to check if the true proportion of boys is less than 50% then the system of hypothesis are .:  

Null hypothesis:[tex]p\leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing we got:

[tex]z=\frac{0.512-0.5}{\sqrt{\frac{0.5(1-0.5)}{344}}}=0.445[/tex]  

Answer:

p= 0.5

p>0.5

Step-by-step explanation:

1a. A deep-sea diver is at sea level. He submerges 15 feet per minute,
How many feet below sea level is he after submerging for 10 minutes? First question.
Second question,Then write an integer representing the deep-sea current location.
PLZZZ answer this correctly and i give you a brainliest!!!

Answers

Answer:

150, 15x

Step-by-step explanation:

After ten minutes he will be 15 * 10 = 150 feet below sea level.

We can call the number of minutes the diver has been underwater for as x so the integer is 15 * x = 15x.

Translate the following into algebraic expressions: The first class has a kids in it, the second has b kids in it, and the third class has c kids in it. The kids from all three classes are divided equally between two buses. How many kids are in each bus?

Answers

Answer:

(a + b + c)/2

Step-by-step explanation:

Number of kids in first class: a

Number of kids in second class: b

Number of kids in third class: c

The total number of kids in all classes is: a + b + c

The total number of kids is divided equally between 2 buses:

(a + b + c)/2

Answer:

(a + b + c)/2

Step-by-step explanation:

;)

A study was conducted on 64 female college athletes. The researcher collected data on a number of variables including percent body​ fat, total body​ weight, lean body​ mass, and age of athlete. The researcher wondered if total body weight​ (TBW), lean body mass​ (LBM), and/or age are significant predictors of​ % body fat. All conditions have been checked and are met and no transformations were needed. The partial technology output from the multiple regression analysis is given below. How many degrees of freedom does the​ F-statistic have in this​ problem?

Answers

Answer:

Hello please your question is in-complete attached is the complete question

degree of freedom = -62.90 ( e )

Step-by-step explanation:

The formula for calculating the F-statistic/test statistic is

test - statistic  = Coef ( LBW) / SE Coef ( LBW )

                       = -0.72399 / 0.01151

                       = - 62.90

the degree of freedom the F-statistic has = -62.90

F-statistic test is any statistical test in which the test statistic has an F-distribution under the null hypothesis. the value of the test can be gotten from running an ANOVA test or regression analysis on the statistical models

Using the definition of degrees of freedom, it is found that the F-statistic has 63 df.

When a hypothesis is tested, the number of degrees of freedom is one less than the sample size.

In this problem, the sample size is of n = 64.

Hence:

df = n - 1 = 64 - 1 = 63

The F-statistic has 63 df.

A similar problem is given at https://brainly.com/question/16194574

Aphrodite took out a 30-year loan from her bank for $170,000 at an APR of
7.2%, compounded monthly. If her bank charges a prepayment fee of 6
months' interest on 80% of the balance, what prepaymeant fee would
Aphrodite be charged for paying off her loan 12 years early?
A. $3246.74
B. $4078.20
C. $4895.83
D. $4921.46​

Answers

Answer:

  A. $3246.74

Step-by-step explanation:

The monthly payment can be found from the amortization formula.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the principal amount, r is the annual rate compounded n times per year for t years.

Filling in the values, we compute the monthly payment to be ...

  A = $170,000(.072/12)/(1 -(1 +.072/12)^(-12·30)) = $1153.94

__

The remaining balance after t years will be ...

  B = P(1 +r/n)^(nt) -A((1 +r/n)^(nt) -1)/(r/n)

For the given initial principal and the computed payment, after 18 years, the balance will be ...

  B = $170000(1 +.072/12)^(12·18) -$1153.94((1 +.072/12)^(12·18) -1)/(.072/12)

  B = $111,054.71

The prepayment penalty appears to be ...

  (r/2)(0.80B) = (.072/2)(0.80)($111,054.71) = $3,198.38

The closest listed answer choice is ...

  A.  $3246.74

_____

Please ask your teacher how to get the answer, since none of the offered choices appear to be correct.

answer of this please ​

Answers

Answer: 205 and 1/7

Step-by-step explanation:

Hope this helped!

<!> Brainliest is appreciated! <!>

Three populations have proportions 0.1, 0.3, and 0.5. We select random samples of the size n from these populations. Only two of the distributions of the sample proportions are normally distributed. Choose all possible values of n.
a. 10
b. 100
c. 50
d. 40
e. 20

Answers

Answer:

(1) A Normal approximation to binomial can be applied for population 1, if n = 100.

(2) A Normal approximation to binomial can be applied for population 2, if n = 100, 50 and 40.

(3) A Normal approximation to binomial can be applied for population 2, if n = 100, 50, 40 and 20.

Step-by-step explanation:

Consider a random variable X following a Binomial distribution with parameters n and p.

If the sample selected is too large and the probability of success is close to 0.50 a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

np ≥ 10 n(1 - p) ≥ 10

The three populations has the following proportions:

p₁ = 0.10

p₂ = 0.30

p₃ = 0.50

(1)

Check the Normal approximation conditions for population 1, for all the provided n as follows:

[tex]n_{a}p_{1}=10\times 0.10=1<10\\\\n_{b}p_{1}=100\times 0.10=10=10\\\\n_{c}p_{1}=50\times 0.10=5<10\\\\n_{d}p_{1}=40\times 0.10=4<10\\\\n_{e}p_{1}=20\times 0.10=2<10[/tex]

Thus, a Normal approximation to binomial can be applied for population 1, if n = 100.

(2)

Check the Normal approximation conditions for population 2, for all the provided n as follows:

[tex]n_{a}p_{1}=10\times 0.30=3<10\\\\n_{b}p_{1}=100\times 0.30=30>10\\\\n_{c}p_{1}=50\times 0.30=15>10\\\\n_{d}p_{1}=40\times 0.10=12>10\\\\n_{e}p_{1}=20\times 0.10=6<10[/tex]

Thus, a Normal approximation to binomial can be applied for population 2, if n = 100, 50 and 40.

(3)

Check the Normal approximation conditions for population 3, for all the provided n as follows:

[tex]n_{a}p_{1}=10\times 0.50=5<10\\\\n_{b}p_{1}=100\times 0.50=50>10\\\\n_{c}p_{1}=50\times 0.50=25>10\\\\n_{d}p_{1}=40\times 0.50=20>10\\\\n_{e}p_{1}=20\times 0.10=10=10[/tex]

Thus, a Normal approximation to binomial can be applied for population 2, if n = 100, 50, 40 and 20.

3(x + 2) = 12 solve for x

Answers

Answer:

x = 2.

Step-by-step explanation:

3(x + 2) = 12

3x + 6 = 12

3x = 6

x = 2

Hope this helps!

Answer:

4

Step-by-step explanation:

the line through (5, 7) and (1, - 5)

Answers

Answer:

Hey there!

Slope of the line: [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope of the line: [tex]\frac{12}{4}[/tex], which is equal to 3.

Point slope form: y2-y1=m(x2-x1)

Point slope form: y-7=3(x-5)

Y intercept form: y-7=3x-15

Y intercept form: y=3x-8

Let me know if this helps :)

Bargains Galore marked down a $82 cappuccino machine to $72. Calculate the following (if necessary, round your answer for markdown percent to the nearest hundredth percent):

Answers

Answer:

12.2%

Step-by-step explanation:

82 · [tex]\frac{100-x}{100}[/tex] = 72         When multiplied by a certain percent we get 72  

82(100-x) = 7200  

                            100(A whole as you may say) - *a percent* = the markdown

8200-82x=7200

                         

82x = 1000

x ≈ 12.2

Tell me if you need further explanation

Answer:

12.20%

Step-by-step explanation:

$82 went down to $72.

$82 - $72 = $10

The price went down $10.

Now we find the percent that $10 is of $82.

percent = part/whole * 100%

percent = 10/82 + 100% = 12.195%

Answer: 12.20%

Please answer this correctly

Answers

Answer:

25%

Step-by-step explanation:

Total cards = 4

The number 4 = 1

p(4) = 1/4

In %age:

=> 25%

Answer:

25%

Step-by-step explanation:

There is only 1 four card from the 4 cards.

1 card out of 4 cards.

1/4 = 0.25

P(4) = 25%

A state lottery randomly chooses 4 balls numbered from 1 through 37 without replacement. You choose 4 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x.Is the experiment binomial?A. Yes, there are a fixed number of trials and the trials are independent of each other.B. No, there are more than two outcomes for each trial.C. Yes, the probability of success is the same for each trial.D. No, because the probability of success is different for each trial.

Answers

Answer:

A) Yes, there are a fixed number of trials and the trials are independent of each other.

Sample size 'n' = 37

probability of success  p = 0.1081

                                     q = 0.8919

Step-by-step explanation:

Explanation:-

Given data we will observe that

There are a fixed number of trials and the trials are independent of each other.

Given a state lottery randomly chooses 4 balls numbered from 1 through 37 without replacement.

Given size 'n' = 37

The probability that a state lottery randomly chooses 4 balls numbered from 1 through 37 without replacement.

Proportion

           [tex]p = \frac{x}{n} = \frac{4}{37} = 0.1081[/tex]

q = 1 - p = 1 - 0.1081 = 0.8919

Final answer:-

Sample size 'n' = 37

                     p = 0.1081

                     q = 0.8919

             

Find the missing length indicated. x=

Answers

Answer: x = 120

Step-by-step explanation:

Here we have 3 triangles, one big and two smaller ones, one at the left and other at the right.

Now, the right sides is shared by the right smaller triangle and the big triangle, if this length is Z, we have that (using the angle in top of it, A, such that 64 is adjacent to A.)

Cos(A) = 64/Z

Cos(A) = Z/(64 +225)

We can take the quotient of those two equations and get:

[tex]1 = \frac{64*(64 + 225)}{Z^2} = \frac{18496}{Z^2}[/tex]

Then:

Z = √(18,496) = 136.

now, we have that for the smaller triangle one cathetus is equal to 64 and the hypotenuse is equal to 136.

Then, using the Pythagorean theorem:

64^2 + x^2 = 136^2

x = √(136^2 - 64^2) = 120

You buy a 33-pound bag of flour for $9 or you can buy a 1- pound bag for $0.39. Compare the per pound cost for the large and small bag. How much is the pounds per dollars

Answers

Answer:

see below

Step-by-step explanation:

9 dollars / 33 lbs = .272727 dollars per lb

.39 / 1 lbs = .39 per lb

The large bag is less expensive

Element X decays radioactively with a half life of 11 minutes. If there are 670 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 26 grams?

Answers

The element X will take 22.10 minutes to decay to 26 grams.

What is radioactive radiation?

The radioactive radiations are the radiations that an atom nucleus releases.

What is an arithmetic progression?

It is a sequence of numbers which have common difference.

How to find the time?

The decaying acts like an arithmetic progression in which a=670,d=-30.45 (per minute decaying) and n we have to find with the an value of 26 gram.

So, the formula of nth term of an arithmetic progression is

nth term=a+(n-1)d

26=670+(n-1)*(-30.45)

-644=-30.45n+30.45

-674.45=-30.45n

n=22.10 (after rounding off)

Hence the element X would take 22.10 minutes to decay to 26 grams.

Learn more about arithmetic progression at https://brainly.com/question/6561461

#SPJ2

Answer:

y=a(.5)^{\frac{t}{h}}

y=a(.5)

h

t

y=30 \hspace{15px} a=670 \hspace{15px} h=11 \hspace{15px} t=?

y=30a=670h=11t=?

30=670(.5)^{\frac{t}{11}}

30=670(.5)

11

t

\frac{30}{670}=\frac{670(.5)^{\frac{t}{11}}}{670}

670

30

=

670

670(.5)

11

t

0.0447761=(.5)^{\frac{t}{11}}

0.0447761=(.5)

11

t

\log(0.0447761)=\log((.5)^{\frac{t}{11}})

log(0.0447761)=log((.5)

11

t

)

\log(0.0447761)=\frac{t}{11}\log(.5)

log(0.0447761)=

11

t

log(.5)

Power Rule.

11\log(0.0447761)=t\log(.5)

11log(0.0447761)=tlog(.5)

Multiply by 11.

\frac{11\log(0.0447761)}{\log(.5)}=\frac{t\log(.5)}{\log(.5)}

log(.5)

11log(0.0447761)

=

log(.5)

tlog(.5)

Divide by log(.5).

t=\frac{-14.838489}{-0.30103}

t=

−0.30103

−14.838489

t=49.29239\approx 49.3 \text{ minutes}

t=49.29239≈49.3 minutes

Step-by-step explanation:

What amount invested at 10% compounded semiannually will be worth $6380.00 after 38 months? Calculate the result to the nearest cent.

Answers

Given Information:

Annual interest rate = r = 10%

Accumulated amount = A = $6380.00

Semi-annual compounding = n = 2

Number of years = t = 38/12 = 19/6  

Required Information

Principle amount= P = ?

Answer:

Principle amount= P = $4,684.05

Step-by-step explanation:

The principal amounts in terms of compound interest is given by  

[tex]$ P = \frac{A}{(1 + i)^N} $[/tex]

Where  

i = r/n

i = 0.10/2

i = 0.05

N = n*t

N = 2*19/6

N = 19/3

So, the principal amount is

[tex]P = \frac{6380.00}{(1 + 0.05)^{19/3}} \\\\P= \$4,684.05 \\\\[/tex]

Therefore, you need to invest $4,684.05 at 10% compounded semiannually for 38 months to get $6380.00 in savings.

A bank loaned out ​$20,000​, part of it at the rate of 6 % per year and the rest at 16 % per year. If the interest received in one year totaled ​$1500​, how much was loaned at 6 %?

Answers

Answer:

$1,020

Step-by-step explanation:

0.06x + 0.16(20,000 - x) = 1500

hurry helpppppppppp please guys

Answers

Answer: The box with three shaded squares and one non-shaded square

Step-by-step explanation:

You are trying to find the representation of the shaded region.

The scale shows point A at 0.75, and the scale can range from 0 to 1.

0.75 is equal to 3/4 of 1

3 of the 4 squares are shaded

So, the common ratio is 3:4 or 3/4

The volume of a gas in a container varies inversely with the pressure on the gas. A container of helium has a volume of 370in3 under a pressure of 15psi (pounds per square inch). Write the equation that relates the volume, V, to the pressure, P. What would be the volume of this gas if the pressure was increased to 25psi?

Answers

Answer:

Step-by-step explanation:

When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be

V = k/P

If V = 370 in³ and P = 15psi, then

370 = k/15

k = 370 × 15 = 5550

The equation that relates the volume, V, to the pressure, P would be

V = 5550/P

if the pressure was increased to 25psi, the volume would be

V = 5550/25 = 222 in³

Answer:

v=5550/p

222

Step-by-step explanation:

Each of two vectors, and , lies along a coordinate axis in the xy plane. Each vector has its tail at the origin, and the dot product of the two vectors is . Which possibility is correct?

Answers

Answer:

A lies along the positive x-axis and B lies along negative x - axis .

Step-by-step explanation:

They tell us that we have two vectors, A and B. And they give us a series of conditions for this, now, what would be the correct possibility.

A lies along the positive x-axis and B lies along negative x - axis .

This is because when both vectors will be in x axis but opposite to each other, then the angle between them will be 180 ° and cos180 ° is -1.

State sales tax is 3%. How much would you pay on a $246 pair of shoes?
Round your answer to the nearest cent.

Answers

Answer:

Step-by-step explanation:

246(.03)= 7.38

246+7.38= $253.38

pls answer quickly!!!

Answers

Answer:

x = 90

y = 100

z = -10

Step-by-step explanation:

To find x and y in the above parallelogram ABCD as shown above, recall that one of the properties of a parallelogram is: the consecutive angles in a parallelogram are supplementary.

This means that the sum of angle A and angle B in the parallelogram ABCD = 180°.

Thus,

(x + 30)° + (x - 30)° = 180°

Solve for x

x + 30 + x - 30 = 180

x + x + 30 - 30 = 180

2x = 180

Divide both sides by 2

2x/2 = 180/2

x = 90

=>Find y:

Also, recall that opposite angles in a parallelogram are congruent.

This means, angle A and angle C in parallelogram ABCD above are equal.

Thus,

(x + 30)° = (y + 20)°

Plug in the value of x to solve for y

90 + 30 = y + 20

120 = y + 20

Subtract 20 from both sides

120 - 20 = y

100 = y

y = 100

=>Find z, if z = x - y

z = 90 - 100

z = -10

AHH!! IM STUCK PLEASE HELP! :(

Answers

Think about this. If we were to align the coefficients with their solutions to form this matrix, it would be the following -

[tex]\begin{bmatrix}2&-6&-2&|&1\\ 0&3&-2&|&-5\\ 0&2&2&|&-3\end{bmatrix}[/tex]

Now this is one way to assign the coefficients. As you can see, 2, - 6, - 2 are present as the coefficients for the first row. Similarly 0, 3, - 2 are present as the coefficients for the second row - ( as one term is missing from this row, it is replaced with a " 0 " ). The same applies for the third row. The end values of the system of equation is present as the last column.

The options are assigned in a manner with which the coefficients and variables are present in two columns, while the end values of the system of equation given, is present as the last column. Knowing the arrangement of both the coefficients and the end values of the system of equation, all we have to do is add these " variables " as one column -

Solution = Option B

The new CD burner costs 12% less at the new electronics store. This statement shows the use ofwhich of the following concepts?

(a)Absolute change (c)Relative change
(b) Absolute difference (d) Relative difference

Answers

Answer:

Option D is correct.

This statement shows the use of relative difference.

Step-by-step explanation:

Taking each of the answer choices one at a time

- Absolute Change

This expresses the exact value of alterations or modifications that happen to a particular quantity. It gives exactly how much the value of the same quantity has changed at different times or conditions. The statement in this question compares two different quantities (price of new CD burner at two different stores), hence it doesn't give the absolute change.

- Absolute Difference

This expresses the exact value of the difference between two quantities. The statement in the question on its own cannot give us the absolute value of the difference between the cost of new CD burner at the two stores being compared. Hence, this isn't the correct answer.

- Relative Change

Thìs expresses how much a particular quantity has changed with respect to its value at some other period of time or under some other condition(s). The question in this statement compares two different quantities and isn't the right answer.

- Relative Difference

This expresses the difference between two quantities wit respect to or relative to one of the two quantities being compared. This is exactly what the statement in the question expresses by saying that the new CD burner costs 12% less at the new electronics store.

It compares the telative difference of the new CD burner at the new and old electronics store.

Hope this Helps!!!

Problem of the Day
The tortoise and the hare were arguing: who's the fastest? The tortoise boasted he
could swim 220 miles in 10 hours. The hare bragged he could hop 90 miles in 2 hours.
But who is faster? How can you tell?​

Answers

Answer:

  hare

Step-by-step explanation:

Their average rates are ...

  tortoise: (220 mi)/(10 h) = 22 mi/h

  hare: (90 mi)/(2 h) = 45 mi/h

The hare has a faster speed than the tortoise.

the flagpole casts an 8 foot shadow and is 20 feet high, At the same time the oak tree casts a 12 foot shadow how tall is the tree

Answers

Answer:

30 feet

Step-by-step explanation:

We can use ratios to answer this question:

8 foot shadow: 20 feet high

Therefore if we multiply both sides by 1.5

12 foot shadow: 30 feet high

There is a triangle with a perimeter of 63 cm, one side of which is 21 cm. Also, one of the medians is perpendicular to one of the angle bisectors. Then what you've got to do is find the side lengths of the triangle

Answers

Answer:

21cm; 28cm; 14cm

Step-by-step explanation:

There is no info in the problem/s  text which one of the triangle's  side is 21 cm. That is why we have to try all possible variants.

Let the triangle is ABC . Let the AK is the angle A bisector and BM is median.

Let O is AK and BM cross point.

Have a look to triangle ABM.  AO is the bisector and AOB=AOM=90 degrees (means that AO is as bisector as altitude)

=> triangle ABM is isosceles => AB=AM  (1)

1. Let AC=21   So AM=21/2=10.5 cm

So AB=10.5 cm as well.  So BC= P-AB-AC=63-21-10.5=31.5 cm

Such triangle doesn' t exist ( is impossible), because the triangle's inequality doesn't fulfill.  AB+AC>BC ( We have 21+10.5=31.5 => AB+AC=BC)

2. Let AB=21 So AM=21 and AC=42 .So  BC= P-AB-AC=63-21-42=0 cm- such triangle doesn't exist.

3. Finally let BC=21 cm. So AB+AC= 63-21=42 cm

We know (1) that AB=AM so AC=2*AB.  So AB+AC=AB+2*AB=3*AB

=>3*AB=42=> AB=14 cm => AC=2*14=28 cm.

Let check if this triangle exists ( if the triangle's inequality fulfills).

BC+AB>AC    21+14>28 - correct=> the triangle with the sides' length 21cm,14 cm, 28cm exists.

This variant is the only possible solution of the given problem.

Which ordered pair is a solution of this equation?
-2x + 9y = -26

(-4,-4)
(4,4)
(-4,-5)
(-5,-4)

Answers

It’s A (-4,4) just plug the number and that your answer
Answer is: (-5, -4)
-2(-5)= 10 and 9(-4)= -36
10-36= -26

A normally distributed population of package weights has a mean of 63.5 g and a standard deviation of 12.2 g. XN(63.5,12.2) a. What percentage of this population weighs 66 g or more

Answers

Answer:

The percentage  is  %z [tex]= 41.9[/tex]%    

Step-by-step explanation:

From the question we are told that

     The mean is  [tex]\mu = 63.5 \ g[/tex]

     The  standard deviation is  [tex]\sigma = 12.2 \ g[/tex]

      The  random number is  x  = 66 g

Given the the population is normally distributed

   The  probability is mathematically represented as

        [tex]P(X > 66 ) = P(\frac{X - \mu }{\sigma} > \frac{x - \mu }{\sigma } )[/tex]  

Generally the z-score for this population is mathematically represented as

         [tex]Z = \frac{ X - \mu}{ \sigma}[/tex]

  So

      [tex]P(X > 66 ) = P(Z > \frac{66 - 63.5 }{12.2 } )[/tex]  

      [tex]P(X > 66 ) = P(Z > 0.2049 )[/tex]  

Now the z-value for 0.2049 from the standardized normal distribution table is  

     [tex]z = 0.41883[/tex]

=>    [tex]P(X > 66 ) = 0.41883[/tex]  

The  percentage  is

     % z     [tex]= 0.41883 * 100[/tex]  

     %z   [tex]= 41.9[/tex]%    

A bowling ball of mass 9 kg hits a wall going 11 m/s and rebounds at a speed
of 8 m/s. What was the impulse applied to the bowling ball?

Answers

The Answer is 171 kg m/s

Other Questions
Write the following Arithmetic sequence using an Explicit Formula: a1 = 8, an = an-1 -2 PLEASE QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which number completes the system of linear inequalities represented by the graph? y > 2x 2 and x + 4y > -12 -3 4 6 yo tenia $2, mi mama me dio $10, mi papa$30, mi tio y tia 100 y yo tenia 5 What was the most likely reason for the protest?Catholic civil rights workers assembled in a city inNorthern Ireland in 1972 for a protest. The protestersrallied in support of Irish nationalists.O to oppose British ruleto support British ruleto support Protestantsto oppose home rule what are the 4 phases of mitosos On June 30, 2021, the Esquire Company sold merchandise to a customer and accepted a noninterest-bearing note in exchange. The note requires payment of $40,000 on March 31, 2022. The fair value of the merchandise exchanged is $37,600. Esquire views the financing component of this contract as significant. Required: 1. Prepare journal entries to record the sale of merchandise (omit any entry that might be required for the cost of the goods sold), any December 31, 2021 interest accrual, and the March 31, 2022 collection. 2. What is the effective interest rate on the note Aubreys kitchen countertop is 2/3 meter by 3 4/5 meters she solves 2/3 multiply 3 4/5 to find the area of the countertop in square meters. Enter numers to conplete aubreys calculations for the area Whats the evaluation to 5x(2) + x for x =3 researchers are interested in the average size of a certain species of mouse. They collect the length and gender of each mouse. What is the parameter likely estimated and the sample statistic A construction company covered 3\8 of a road which is 10km long with asphalt in the first week and covered 7\18of the road in the second week with asphalt. what length of the road remained to be covered with asphalt? Please answer this question now in two minutes What is the current price for a bond worth $4,000 that has a price quote of 50? Amy works for 36 hours per week for 10 weeks during the summer, making $\$3000$. If she works for 30 weeks during the school year at the same rate of pay and needs to make another $\$3000$, how many hours per week must she work? What is true regarding local government budgets? (Select all that apply) Large portions of local budgets support elementary education. Revenue comes from intergovernmental payments. Expenditures include police and fire departments. Localities fund social security benefits for retired residents. If you had your own sitcom, what would be the sitcom setting? What would it be about and use some examples? The length of a rectangle is twice its breadth. if the perimeter is 72 meters, find the length and breadth of the rectangle according to Wilson what was one of the most significant reasons why world war one became a global conflict involving so many world powersA.the changes in technology That had been applied to military weaponsB. The existence of secret alliances and treatiesC. The failure of the League of Nations Hi can you help me with this please Cattle on an open range, in some areas, may compact fragile soils while grazing. This can damage plant roots, leading to fewer, smaller plants, which may in turn cause cattle to graze more and work harder to obtain food. This is an example of a: the distance around the edge of a circular pond is 88m. the radius in meters is ?(a)88(b)176(c)88/(d)88/2