in a class of students, the following data table summarizes how many students have a brother or sister. What is the probability that a student chosen from randomly from the class does not have a sister? ​

Answer:

1.8 in.

Step-by-step explanation:

Hi there!

1) Determine the radius of the base

[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the base and h is the height of the cone

Plug in the known values (h=4.2, V=3.6)

[tex]3.6=\frac{1}{3} \pi r^2(4.2)[/tex]

Isolate r; divide both sides by 4.2

[tex]\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2[/tex]

Multiply both sides by 3

[tex]\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2[/tex]

Divide both sides by π

[tex]\frac{18}{7\pi }=r^2[/tex]

Take the square root of both sides

[tex]\sqrt{\frac{18}{7\pi }} =r[/tex]

2) Determine the diameter

Now that we have the radius, to find the diameter, multiply r by 2:

[tex]d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8[/tex]

Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.

I hope this helps!

Answer:

1.8 in

Step-by-step explanation:

we know the equation for the volume of a cone is pi*r^2 h/3=3.6

pi r^2 *4.2=10.8

solve for r

r is about 0.9 so diameter is 1.8 in

Step-by-step explanation:

by using the formula of circumference with diameter pie ×diameter

Answer:

Multiply using the distributive property which will give you the answer 2x + 2.

Step-by-step explanation:

Answer:

2x + 1

Step-by-step explanation:

2 * (x + 1) |

              \/

           2x + 1

Answer:

Option 2,    3(5y-11) - 2

Hope this helps!

Answer:

There were 80 pieces of colored paper in the package.

Step-by-step explanation:

Given that a package of colored paper contains 20 pieces of yellow paper, and this represents 25% of the total pieces of colored paper in the package, to determine how many total pieces of colored paper are in the package, the following calculation must be performed:

25 = 20

100 = X

100 x 20/25 = X

2,000 / 25 = X

80 = X

Therefore, there were 80 pieces of colored paper in the package.

Answer:

11/8 and 21/16

Step-by-step explanation:

3 x 1 = 3

4 x 2= 8

3/8+3/4(convert to eighth's)

3/8+6/8=11/8

1 1/8 = 9/8

9 x 1 = 9

8 x 2 = 16

9/16+3/4(convert to sixteenth's)

9/16+12/16

21/16

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hope it helps

=3/4 × 1/2 + 3/4

=3/8 + 3/4

=9/8

2nd questions ans

=1×1/2 + 3/4

=1/2 + 3/4

=5/4

Answer: The answer is 143.59

Step-by-step explanation:

I just subtracted 279.51 from 423.1! :)

Answer: I would say that it is 7

Step-by-step explanation:

30 : 24

b : 4       (divide both sides by 6)

5 : 4

Equivalent to 5 would be 7

Sorry if its wrong

Answer:

the answer to the question is A

Answer:

Step-by-step explanation:

Answer:

6.28 cm

Step-by-step explanation:

Given,

Diameter = 2 cm

pi = 3.14

To find : Circumference ( circle ) = ?

Radius ( r )

= Diameter / 2

= 2 / 2

= 1 cm

Formula : -

Circumference ( circle ) = 2 pi r

2 pi 4

= 2 × 3.14 × 1

= 6.28 cm

Answer:

6.28

Step-by-step explanation:

radius= diameter/2

r=2/2=1

circumference formula=2[tex]\pi[/tex]r

[tex]\pi[/tex]=22/7 or 3.14

So,

2[tex]\pi[/tex]r= 2*3.14*1= 6.28

Answer:

D if it helps

Step-by-step explanation:

Answer:

I think you are happy with answer

Answer:

2 cm, 9 cm, 10 cm

Step-by-step explanation:

To know if a combination is a triangle all you have to do is see if the combinations add up to 180

(2)(9)(10)=180 therefore it is a triangle.

All the other angles do not add up to 180 so they can't be triangles!!

(4)(10)(3) =120

(5)(6)(11) =330

(4)(5)(7) =140

Answer: The probability of you drawing a dime is 0.24

Step-by-step explanation:

5 quarters, 6 dimes, 2 nickels, 12 pennies

5+6+2+12= 25

6/25= 0.24 or 24%

Answer:

0.24

Step-by-step explanation:

P(dime) = 6/25 which is 0.24

Answer:

10/4

Step-by-step explanation:

Answer:

The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.

Step-by-step explanation:

We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.

At the null hypothesis, we test if the mean is at the design value of 3200, so:

[tex]H_0: \mu = 3200[/tex]

At the alternate hypothesis, we test if it is less than the design value of 3200, so:

[tex]H_a: \mu < 3200[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

3200 is tested at the null hypothesis:

This means that [tex]\mu = 3200[/tex]

The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.

This means that [tex]n = 50, X = 3120, s = 180[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]

[tex]t = -3.14[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.

With the help of a calculator, the p-value of the test is 0.0014

The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.

Answer:

ω= 0.01 rad/s

Step-by-step explanation:

The given data is question is ,

Firstly let's find the linear speed. Which is

=> v = Circumference/time

=> v = 2πr/180s

=> v = 3.14 × 100ft ./ 90

=> v = 3.48 ft/s ≈ 1m/s

=> v = r[tex]\omega[/tex]

=> [tex]\omega[/tex] = v/r

=> [tex]\omega[/tex] = 1/100

=> [tex]\omega[/tex] = 0.01 rad/s

Answer:

2038.51

Step-by-step explanation:

Compound interest formula:

[tex]FV=PV(1+\frac{i}{n})^{n*t}\\2229=PV(1+\frac{.03}{2})^{2*3}\\2229=PV(1.093443264)\\2037.514547=PV[/tex]

Answer:-18

-6

0

3

9

Step-by-step explanation:

Answer: A) (2x+1)(2x−1)

How to: Since both terms are perfect squares, factor using the difference of squares formula,

Have a great day and stay safe !

Answer:

1.74

Step-by-step explanation:

Multiply 5.80 times .30

Answer:

1.74

Step-by-step explanation:

To solve this, lets multiply the value by the percentage.

Our value is 5.8

And our percentage is 30%.

Lets convert this into a decimal, to do this, divide 30 by 100:

30/100

=

0.3

Now that we have the percentage in decimal form, multiply it by the 5.8:

5.8*0.3

=

1.74

This is your answer!

Hope this helps! :)

Answer:

Grapes are less expensive

Step-by-step explanation:

First, find how much money 1 pound of each fruit is:

Bananas: $1.47 / 3 = $0.49

Grapes: $1.18 / 2 = $0.59

Compare:

0.49 < 0.59

So grapes are less expensive

Answer:

a) y=4x-12

b) 4x-y=12

Step-by-step explanation:

1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4

2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12

3) rearrange into ax+by=c form

Answer:

7x + 7

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

All angles inside a triangle add up to 180. D and C is the same. 31 x 2 = 62

180 - 62 = 118

Answer:

Use the slope formula and slope-intercept form  y = mx + b to find the equation you get:

y = 8x

If thats not what your looking for then for every 1 (x) you get 8 (y)

Step-by-step explanation: