Find the expected value of the random variable with the given probability distribution.

Answer:

107.25 metres.

Step-by-step explanation:

diameter of circle = 150m,

so,

radius = 75 m

perimeter of semi circle

= pi × r

= 3.14 × 75

= 235.5 m

perimeter of rectangle

= 2 × (l+b)

= 2 × (150 + 75)

= 450 m

perimeter of shaded region

= perimeter of rectangle - perimeter of semi circle/2

= 450 - 235.5/2

=107.25 metres

Answer:

A

Step-by-step explanation:

Since he is paying the computer off, the first value is considered the initial value, and in this case it is the amount he purchased the computer for.

Answer:

720 I know this because i did this :)

Step-by-step explanation:

The 95% confidence interval for the proportion p is (0.156, 0.302)

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To calculate a 95% confidence interval for the proportion p, we can use the following formula:

p ± z√(p(1-p)/n)

where p is the sample proportion (37/161), z is the critical value for a 95% confidence level (1.96 for a large sample size), and n is the sample size (161).

Plugging in these values, we get:

p ± z√(p(1-p)/n)

= 0.229 ± 1.96√((0.229)(0.771)/161)

= 0.229 ± 0.073

Therefore, the 95% confidence interval for p is (0.156, 0.302).

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Answer:

The length of a rectangle is 3 times the width.The area is 75 cm^2.

Answer:

the equation that can be used to determine how many hours Amanda babysitted for the family =

20 + 5x = 35

Amanda babysitted for 3 hours

Step-by-step explanation:

From the question, we know that:

Amanda charges $20 fee for babysitting plus an additional $5 per hour.

Let the number of hours she babysits be represented by x

This is represented by the equation:

$20 + $5× x

= 20 + 5x

We are also told:

The Wilson family paid the babysitter a total of $35 for a night of babysitting.

Hence the equation that can be used to determine how many hours Amanda babysitted for the family =

20 + 5x = 35

5x = 35 - 20

5x = 15

x = 15/5

x = 3 hours

Therefore, Amanda babysitted for 2 hours

Answer:

Point D is the point of dilation.

Step-by-step explanation:

If the smaller triangle A'B'C' is dilated to form a larger triangle ABC by the dilation about point D,

Ratio of the DA and DA' will be equal to the ratio of DB and DB'.

Length of DA = 3 units

Length of DA' = 1 unit

Coordinates of D → (3, 0)

Coordinates of B → (9, 3)

Coordinates of B' → (5, 1)

Use the formula of distance between the two points to find find the length of DB and DB'

Length of DB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(3-0)^2+(9-3)^2}[/tex]

                                                                 [tex]=\sqrt{45}[/tex]

                                                                 [tex]=3\sqrt{5}[/tex]

Length of DB' = [tex]\sqrt{(5-3)^2+(1-0)^2}[/tex]

                       [tex]=\sqrt{5}[/tex]

Ratio of DB and DB' = [tex]\frac{3\sqrt{5} }{\sqrt{5} } =3:1[/tex]

Ratio of DA and DA' = 3 : 1

Since, [tex]\frac{DA}{DA'}=\frac{DB}{DB'}[/tex]

Therefore, smaller triangle is dilated by a scale factor of 3 to form the bigger triangle about the point D.

Answer:

9/20

Step-by-step explanation:

36/80

orrrr just

9/20

Answer:

[tex]\huge\boxed{\text{6 by 10 inches}}[/tex]

Step-by-step explanation:

In order to solve for this, we can make two equations, where a is the length of the first side and b is the length of the second side.

We can now solve this systems of equations by using substitution.

Let's change the equation [tex]ab=60[/tex] into the form [tex]a= mb+c[/tex].

We can divide both sides by b.

[tex]a = \frac{60}{b}[/tex]

We can now plug [tex]\frac{60}{b}[/tex] in as a into [tex]2a+2b=32[/tex].

[tex]2(\frac{60}{b}) + 2b = 32[/tex]

Let's simplify this equation:

Now, since we have both roots of this quadratic, we know that the two sides will be 10 and 6 inches long.

Hope this helped!

The probability of making a type i error is the likelihood of type i error, and it is denoted by α

The type-i error involves rejecting a good prediction or value indicated by the null hypothesis.

In other words, the probability of wrongly rejecting the null hypothesis is the probability of the type-i error.

And it is represented by the alpha symbol.

Hence, the probability of making a type i error is α

Read more about probability at:

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Answer:

75 degrees

Step-by-step explanation:

75+r+30=180

105+r=180

r=75

Hey there!

Option answer: $1,000

Calculate the percentage

=> 5000 × 20/100

=> 5000/1 × 20/100

=> 50/1 × 20/1

=> 1000/1

=> 1000

Therefore, 20% of $5000 is $1000

Answer:

supplementary

Step-by-step explanation:

we have,

2x+96=180

=> 2x = 180- 96

=> 2x = 82

now,

82 + 96 = 180

so they are supplementary angles

Answer:

DF=2.68

EF=2.01

Step-by-step explanation:

Answer:

15000 pay on the ship for me

Answer:

your question is not clear

Step-by-step explanation:

because of option not correct arrange

Answer:

Absolute value;

The non-negative value of x(in your case -19) without regard to its sign.

Basically how far in distance x(in your case -19) is away from 0.

|–19| = 19

Answer:

19

Step-by-step explanation:

Given the following question:

When dealing with absolute value we need to understand that all negatives in between "|  |" are changed into positives. See absolute value (| |) as if its a car wash, and negatives are dirty cars.

In this case...
[tex]|-19 |[/tex]
[tex]|-19 |=19[/tex]
[tex]=19[/tex]

Hope this helps.

Volume of a cube formula: [tex]V=a^3[/tex]

Surface area of a cube formula: [tex]SA=6a^2[/tex]

Area of a trapezoid formula: [tex]A=\dfrac{1}{2}(a+b)h[/tex]

We're given:

First, use the volume formula to solve for the side length:

[tex]V=a^3[/tex]

⇒ Plug in the known volume:

[tex]343=a^3\\\sqrt[3]{343}=\sqrt[3]{a^3}\\a=7[/tex]

Therefore, [tex]a=7[/tex].

Now, plug this value into the formula for surface area:

[tex]SA=6a^2\\SA=6(7)^2\\SA=294[/tex]

Therefore, the surface area of the cube is 294 cm².

We're given:

For this question, we must solve for the area of the trapezoid, then divide its double by 72 to find how many cans of paint we need for two coats.

Solve for the area of the trapezoid:

[tex]A=\dfrac{1}{2}(a+b)h[/tex]

⇒ Plug in the given information:

[tex]A=\dfrac{1}{2}(14+24)(16.5)\\\\A=\dfrac{1}{2}(38)(16.5)\\\\A=(19)(16.5)\\A=313.5[/tex]

Therefore, the area of the trapezoid is 313.5 ft²

Multiply it by 2:

[tex]313.5*2\\=627[/tex]

Divide this by 72:

[tex]\dfrac{627}{72}\\\\=8.7[/tex]

Therefore, we need 9 cans of paint to paint two coats over the deck.

Answer:

A)

Step-by-step explanation:

A systems of equations that are 2 completely separate lines will have 1 solution.

A systems of equations that are the same line will have infinite amount of solutions.

A systems of equation that have parallel lines will have no solution.

We see that B, C, and D are all 2 completely separate lines with their own slope and y-intercept. Therefore, they will have 1 solution.

A is our answer because we see that they have the same slope but different y-intercepts. This means that they are parallel lines and will never intersect each other, thus providing us with no solution.

Answer:

the next two are 65, and 257

Answer:

65 and 257

Step-by-step explanation:

17x4=68   68-3=65.      65x4=260   260-3=257

4^2 + 7^2 = c^2
16 + 49 = c^2

C^2 = 65

65 square root

C = 8.06 or rounded is 8.1

Answer:

are you just listing defnitions or what

Step-by-step explanation:

Answer:

he is 162.56

Step-by-step explanation:

Answer:

162.56 cm

Step-by-step explanation:

Convert 5 ft 4 inches to inches (5 x 12) +4

Then convert to cm

64in              2.54cm

---------    x   ---------------  =   162.56cm

   1                     1 in

Cancel the term inches and multiply 64 by 2.54cm

Answer:

5/10

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

First you simplify your parenthesis, then subtract 2x from both sides. Then subtract both sides by 2, then finally divide both sides by 10. x > -1 So n = -1

Hope I helped! :)

Answer:

The measurement of 7 is equal to 47 because it is congruent to 5.

The equation that could be is is:  (2x-5) + 47 = 180

x is equal to 69.

Step-by-step explanation:

69 times 2 = 138 -5 = 133

133 + 47 = 180