A number is randomly selected from 10 to 20. X is the event of selecting

a number divisible by 3. Y is the event of selecting a prime number.

a) Draw a Venn diagram to represent the information.


b) Are events X and Y mutually exclusive? Explain.


c) Find P(X) and P(Y).

Answers

Answer 1

Answer:

unsure

Step-by-step explanation:

idk


Related Questions

Ivy corporation gave 79 people a bonus. If Ivy had given 5 more people bonuses, Ivy would have rewarded 3/5 of the workforce. How large is Ivy's workforce. HELP.

Answers

Answer:

140 people in Ivy's workforce

Step-by-step explanation:

First, add together the 79 workers and the 5 extra people.

79 + 5 = 84

Now take 84 divided by 3/5 to find the number of people who are in the workforce.

84/ 3/5 = 140 people in Ivy's workforce

Answer:

140

Step-by-step explanation:

First, add together the 79 workers and the 5 extra people.

79 + 5 = 84

Now take 84 divided by 3/5 to find the number of people who are in the workforce.

84/ 3/5 = 140 people in Ivy's workforce

15 cm
12 cm
7 cm find area​

Answers

Answer:

1260cm^2

Step-by-step explanation:

15 times 12 = 180

180 times 7 = 1260

The answer is:
1260cm^2

You multiply 15 with 12, it equals 180
15 • 12 = 180

Multiply 180 with 7, it equals 1260
180•7=1260

A large pizza costs $8.95, plus $0.65 for each additional topping. Ron paid $10.90 for a large pizza. How many additional toppings did he get?
(please show all your work with a let, so, equation(and solution) and therefore statement).

Answers

x represents # of toppings

8.95+0.65x=10.90
0.65x=1.95
x=3

He got 3 additional toppings onto his large pizza.

Which is NOT a way to state the meaning of the expression h + 7?

Answers

ksnfntntneoeodj because it definitely would not be stating the expression h + 7 so any jumble of words could be your answer

Answer:

                   

Step-by-step explanation:

Please help.


The best answer will get brainliest.

Answers

Answer:

Mean= 10

Step-by-step explanation:

Mean= Total value of data/Number of datas given

         =3+2+26+9/4

         =40/4

         =10

Mean= 10

how do you write 5179 in figures

Answers

Five-thousand one-hundred seventy- nine

What is the surface area of the rectangular pyramid? m2 18 point for how ever awncers this first

Answers

Answer:

When all side faces are same

surface area = lw + 1/2 × perimeter × slant height.

When the side faces are different

surface area = base area + lateral area

Step-by-step explanation:

The question you ask is the formula one can use to calculate the surface area of a rectangular pyramid.

The  base of a rectangular pyramid is rectangular. The picture below shows how a rectangular pyramid looks like .

The surface area of the rectangular pyramid includes the area of the base and areas of all the triangular faces. This simply implies the area of the rectangular base and the area of each triangular faces. Mathematically, it can be represented below.

The base area(rectangle) = length × width = lw

Area of a triangle = 1/2 × base × height = 1/2bh

Therefore, if all the faces of the triangle are the same(regular pyramid) the total surface area will be

surface area = lw + 1/2 × perimeter × slant height.

Note the triangular faces are 4 in numbers.  

If all the sides of the triangle are different the surface are will be

surface area = base area + lateral area

We have to add the triangular faces individually for an irregular pyramid.

A farmer has a large field that is x feet in length. He wants to fence in a rectangular section in the middle of the field, leaving a length of 100 feet of open field beyond each end of the fenced rectangle. He also wants the width of the fenced-in space to be 100 feet less than its length, as shown in the diagram.
Find the equation in standard form for the area of the fenced-in section in terms of the length of the field.
(area = length • width)

Answers

Answer:

y = x2 − 500x + 60,000

Step-by-step explanation:

The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.

area of the fenced-in section = length • width

y = (x − 200)(x − 300)

= x2 − 300x − 200x + 60,000

= x2 − 500x + 60,000

Answer:

y= x^2 − 500x + 60,000

Step-by-step explanation:

Other loser made a mistake

The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.

area of the fenced-in section = length • width

y = (x − 200)(x − 300)

= x^2 − 300x − 200x + 60,000

= x^2 − 500x + 60,000


What is the quotient when the sum of 13 and 11 is divided by the difference of 13 and 11

Answers

Answer:

12

Step-by-step explanation:

[tex]\dfrac{13+11}{13-11}=\dfrac{24}{2}=12[/tex]

Hope this helps!

12....................

bo and Luke are driving to uncle Jesse's house their car at the generally can go nearly 208 miles on 13 gallons of gas they only have 3 gallons of gas left in the tank but they are 42 miles away from uncle Jesse's house how far can the generally go on 3 gallons of gas in its tank

Answers

Answer:

48 miles

Step-by-step explanation:

What we must do is calculate the car's performance, that is, the number of miles per gallon of gas, like this:

208/13 = 16

which means that for each gallon of gas you can travel a total of 16 miles.

They tell us they have 3 gallons of gasoline left so they can go:

16 * 3 = 48

If your goal is 42 miles away, that means you can make it and you still have 6 more miles to go.

What fraction of the circle would 3 pieces represent?

Answers

Answer:

3/4 would represent the shaded in parts of the circle

Step-by-step explanation:

I cannot give you an accurate answer seeing as you did not give much detail

Florida reappraises real estate every year, so the county appraiser's Web site lists the current "fair market value" of each piece of property. Property usually sells for somewhat more than the appraised market value. Here are the appraised market values and actual selling prices (in thousands of dollars) of condominium units sold in a beachfront building in a 93-month period:
Selling price 832 878 628 1067 924 792 645 854
Appraisal value 744.7 842.8 480.9 1005.2 787.9 758.3 548.9 634.3
Selling price 764 708 752 862 720 1099 1301 800
Appraisal value 641.7 514.8 552.9 747.4 475.5 756.3 1039.4 582.8
Here is part of the Minitab output for regressing selling price on appraised value:
Predictor Coef SE Coef T
Constant 227.0989 95.044 2.389
Appraisal 0.8991 0.133 6.76
S = 88.7959 R-Sq = 76.5% R-Sq (adj) = 74.9%
The equation of the least square regression line for predicting selling price from appraised value is (round your answer to at least four decimals):
price appraised value.

Answers

Answer:

The equation of the least square regression line for predicting selling price from appraised value is:

[tex]\text{Selling Price}=227.0989 + 0.8991\ \text{Appraised Value}[/tex]

Step-by-step explanation:

The general form of the  least square regression line is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable

x = independent variable

a = y-intercept

b = slope

The Minitab output for regressing selling price on appraised value is:

Predictor          Coef       SE Coef       T

Constant      227.0989    95.044    2.389

Appraisal          0.8991       0.133     6.76

S = 88.7959

R-Sq = 76.5%

R-Sq (adj) = 74.9%

The constant term in the regression output represents the y-intercept and the Appraisal coefficient the slope of the regression line.

Then the equation of the least square regression line for predicting selling price from appraised value is:

[tex]\text{Selling Price}=227.0989 + 0.8991\ \text{Appraised Value}[/tex]

The diagonal of a square is x units. What is the area of the square in terms of x?
3x square units
x? square units
2x square units
x square units

Answers

Answer:

(x^2)/2

Step-by-step explanation:

If the diagonal is x, then the side length is sqrt(x^2/2)

That makes the area (x^2)/2

Answer:

c is wrong thats what i had picked

Step-by-step explanation:

What are the solutions of the quadratic equation (x + 3)2 = 49?
O x=-2 and x = -16
O x = 2 and x = -10
O x= 4 and x = -10
O x = 40 and x = -58

Answers

Answer:

  4 and -10

Step-by-step explanation:

Take the square root:

  x +3 = ±√49 = ±7

Subtract 3:

  x = -3 ± 7

For the minus sign, we have ...

  x = -3 -7 = -10

For the plus sign, we have ...

  x = -3 +7 = 4

The solutions are x = 4 and x = -10.

The solutions of the quadratic equation x = 4 and x = –10

Step-by-step explanation:

A cone-shaped pile of sawdust has a base diameter of 36 feet, and is 14 feet tall. Find the volume of the pile.

Answers

The volume of the cone-shaped pile of sawdust is, 4752 cubic feet.

What is cone?

A cone is a three-dimensional geometric structure with a smooth transition from a flat, usually circular base to the apex or vertex, a point that creates an axis to the base's center.

Given that,

Diameter of cone 2r = 36 feet,

Height of cone h = 14 feet.

Since, diameter 2r = 36 ⇒ r = 18 feet

The volume of the cone V = 1/3×π×r²×h

V = 1/3×22/7×18×18×14

   = 4752 cubic feet

The volume of the cone-shaped pile is, 4752 cubic feet.

To learn more about Cone on:

https://brainly.com/question/20757316

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solve for 4/5 x ( -2/9 )​

Answers

Answer:

-8/45

Step-by-step explanation:

4/5 * -2/9

Multiply the numerators

4*-2 = -8

Multiply the denominators

5*9 = 45

numerator over denominator

-8/45

ASAP PLEASE

Mike and Jhon has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Mike uses the formula V = π(3)2(7) to find the volume whereas Jhon says his formula V= V = 1/3π(3)2(7) is correct to find the volume.

Who is incorrect ? and why?

Answers

Answer:

I can't really see the whole question, but for a cone the volume formula is πr2h

3

Step-by-step explanation:

A man travelled 450 km on the first day and 565,000 m on the second and the third day he travel double the distance you travel on the first day on the fourth day he reached his destination which was 2500km from his starting point how far did he travel on the fourth

Answers

Answer:

1000miles

Step-by-step explanation:

A men travel 585 km on fourth day.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

A man travelled 450 km on the first day and 565,000 m on the second day, the third day he travel double the distance you travel on the first day.

Here, On the fourth day he reached his destination which was 2500km from his starting point.

Let the distance he travel on the fourth day = x

So, We can formulate;

⇒ 450 km + 565,000 m + 2 × 450 km + x = 2500 km

⇒ 450 km + 565 km + 900 km + x = 2500 km

⇒ 1915 km + x = 2500 km

⇒ x = 2500 - 1915

⇒ x = 585 km

Learn more about the addition visit:

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A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation 14 pounds.

Answers

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean weight loss yield of the powder diet and μ2 be the mean weight loss yield of the liquid diet.

The random variable is μ1 - μ2 = difference in the mean weight loss yield of the powder diet and the mean weight loss yield of the liquid diet.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This us a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 42

μ2 = 45

s1 = 12

s2 = 14

n1 = 49

n2 = 36

t = (42 - 45)/√(12²/49 + 14²/36)

t = - 1.04

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [12²/49 + 14²/36]²/[(1/49 - 1)(12²/49)² + (1/36 - 1)(14²/36)²] = 70.28/1.03

df = 68

We would determine the probability value from the t test calculator. It becomes

p value = 0.15

Assuming a significance level of 0.05, then

Since alpha, 0.05 < than the p value, 0.15, then we would fail to reject the null hypothesis. Therefore, we can conclude that at a 5% significance level, the liquid diet does not yield a higher mean weight loss than the powder diet.

On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant must then repeat the digits in the correct order. If the participant is successful, the length of the next string is increased by one. For instance, if the participant repeats four digits successfully, he will hear five random digits on the next trial. The participant's score is the longest string of digits he can successfully repeat.

A professor of cognitive psychology is interested in the number of digits successfully repeated on the digit span task among college students. She measures the number of digits successfully repeated for 49 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average number of digits successfully repeated on the digit span task among college students is 7.06 digits with a standard deviation of 1.63 digits.

a. The expected value of the mean of the 49 randomly selected students, M, is:_____
b. The standard error of M is:______

Answers

Answer:

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

b)

The Standard error of the mean is 0.2328

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 49

The Expected value of the mean of 49 randomly selected students

μₓ = μ =7.06 digits  

b)

The Standard error of the mean determined by

[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

Given sample size 'n' = 49

The Standard deviation 'σ' = 1.63 digits

The Standard error

[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

[tex]S.E = \frac{1.63}{\sqrt{49} } = 0.2328[/tex]

Final answer:-

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

b) The Standard error of the mean is 0.2328

What is the equivalent equation solved for h?

Answers

Answer:

[tex]h=\frac{P}{mg}[/tex]

Step-by-step explanation:

If you divide both sides of this equation by mg, you are left with [tex]h=\frac{P}{mg}[/tex], which is the equivalent solution solved for h. Hope this helps!

Answer:

it's B

Step-by-step explanation:

A right rectangular prism has a height of 15 meters, a length of 4 meters, and a width of 3 meters. Which expressions show how
to calculate the volume? Check all that apply.
VX
2(15+4+3)
15 +4+3
3(4) + 15
60(3)
12(15)
15(4(3)
2(4)(3)(15)
60(4)

Answers

Answer:

60(3), 12(15), 15(3)(4)

Step-by-step explanation:

volume of a rectangular prism is the product of all sides which is 15*3*4. 60(3), 12(15), 15(3)(4) are the only ones equal to that.

Answer:

D,E,F

Step-by-step explanation:

Natalia is moving into a new house. All together, her furniture weighs 3,204 pounds. If it takes 8 trucks to carry all of Natalia's furniture, what is the average weight load on each truck? A. 640.8 pounds per truck B. 801 pounds per truck C. 1,602 pounds per truck D. 400.5 pounds per truck

Answers

Answer:

D

Step-by-step explanation:

The average can be found by dividing the number of pieces (or trucks in this case) by the total, so 3204/8=400.5 pounds, or D as our answer

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answers

Answer:

Answer is (b) The worker with 40 hours of training is paid $1400 per month

idk how to do this , pls help

Answers

Answer:

15 times 32 times 6 is 2880

16 times 6 times 2 is 192

2880 plus 192 is 3074

D) 3074

well well look who is hereuse the same method i gave uthe volume of 1st cuboid is l×b×h=15×32×6=2880volume of 2nd cuboid is l×b×h=16×6×2=192the total volume is 2880+192=3072

In a study of contamination of fish in the nations' rivers and lakes, the EPA found that 91% of water quality test sites showed the presence of PCB, a cancer-causing agent. Suppose a follow-up study of 200 rivers and lakes in 2018 showed the presence of PCB in 177 cases. Does the statistical evidence support the conclusion that as of 2018 water clean-up programs have reduced the proportion of locations with PCB? Use as level of significance. Based on the above, the hypothesis statement and decision are A. The alternative hypothesis is less than.91/Do not reject the null B. The null hypothesis is greater than and equal to.886/Do not reject the null C. The null hypothesis is less than .855/Do not accept the nul D. The alternative hypothesis is greater than .91 /Do not acoept the null E. The nullis less than .91 /Do not reject the null

Answers

Answer:

A. The alternative hypothesis is less than.91/Do not reject the null

Null hypothesis: H0 = 0.91

Alternative hypothesis: Ha < 0.91

z = -1.24

P value = P(Z<-1.24) = 0.11

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

Given;

n=200 represent the random sample taken

Null hypothesis: H0 = 0.91

Alternative hypothesis: Ha < 0.91

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 200

po = Null hypothesized value = 0.91

p^ = Observed proportion = 177/200 = 0.885

Substituting the values we have

z = (0.885-0.91)/√(0.91(1-0.91)/200)

z = −1.23541552776

z = -1.24

To determine the p value (test statistic) at 0.05 significance level, using a one tailed hypothesis.

P value = P(Z<-1.24) = 0.107488 = 0.11

Since z at 0.05 significance level is between -1.96 and +1.96 and the z score for the test (z = -1.24) which falls with the region bounded by Z at 0.05 significance level. And also the one-tailed hypothesis P-value is 0.11 which is higher than 0.05. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 5% significance level the null hypothesis is valid, therefore do not reject null.

hus, D satisfying ​(ABC)DequalsI exists. Why does the expression for D found above also satisfy ​D(ABC)equalsI​, thereby showing that ABC is​ invertible? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice. A. After substituting the expression for​ D, the product DABC simplifies to I by repeated application of the associative property and the definition of inverse matrices. B. After substituting the expression for​ D, left multiplying the product by nothing results in the equation IequalsABCD. C. After substituting the expression for​ D, taking the inverse of both sides of the equation results in the equation IequalsABCD. D. After substituting the expression for​ D, right multiplying the pr

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

First Question

Option A is correct

Second  Question

Option C is correct

Third   Question

     [tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]

Fourth   Question

  So substituting for D in  (ABC) D =  I

                 [tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]

                 [tex]I = I[/tex]

This proof that  ABC is invertible

Step-by-step explanation:

From the question we are told that

   A , B and  C are invertible which means that [tex]A^{-1} , B^{-1}, C^{-1}[/tex] exist

Now

 From the question

          (ABC) D =  I

Where I is an identity matrix

   Now when we multiply both sides by  [tex]A^{-1}[/tex]  we have

          [tex]A^{-1} A BCD = A^{-1} * I[/tex]

          [tex]IBCD = A^{-1}[/tex]

Now when we multiply both sides by  [tex]B^{-1}[/tex]  we have  

         [tex]B^{-1 } *I BCD = A^{-1} * B^{-1}[/tex]

         [tex]I CD = A^{-1} * B^{-1}[/tex]

Now when we multiply both sides by  [tex]C^{-1}[/tex]  we have  

          [tex]C^{-1} * I CD = A^{-1} * B^{-1} * C^{-1}[/tex]

              [tex]I D = A^{-1} * B^{-1} * C^{-1}[/tex]

                 [tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]

So substituting for D in the above equation

                 [tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]

                 [tex]I = I[/tex]

This proof that  ABC is invertible

 

3
Solve y - 18 = -3.
a) 15
6
b) 21
9
Oc) -21
12
d) -15

Answers

The answer d)
Explaining
y = -18 + 3
y= -15

Answer:

Its a) 15

Step-by-step explanation:

What is the volume of the cone in the diagram
A. 150 pi cubic units
B. 200 pi cubic units
C. 250 pi cubic units
D. 300 pi cubic units

Answers

Answer:

A

150 pi cubic units

Step-by-step explanation:

Answer:

Substituting the values r = 5 and h = 18 in the formula V=1/3×π⁢r^2⁢h, you get V=1/3×π×52×18 = 150π cubic units.

Step-by-step explanation:

what does 1/2 (40x60) =

Answers

40*60=2400
1/2 of 2400
=1200
(1/2)*(40*60) = 1200

You could use the calculator on the device you asked this question with.
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