When 334 college students are randomly selected and surveyed, it is found that 103 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.

Answer:

There is significant evidence to conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.

Step-by-step explanation:

Given the data :

6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7

The hypothesis:

H0: μ = 3.2

H1 : μ > 3.2

n = sample size = 12

The sample mean, xbar = ΣX / n

xbar = 53.2 / 12

xbar = 4.43

Using calculator;

Sample standard deviation, s = 2.147

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(4.43 - 3.2) ÷ (2.147/sqrt(12)

1.23 / 0.6197855

Test statistic = 1.985

The Pvalue using the Pvalue from Tscore calculator :

Tscore = 1.985 ; df = 12 - 1 = 11

Pvalue = 0.036

Since Pvalue < α ; We reject the Null

Hence, we conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.

Answer:

A. Obtuse B. Right C. Acute D. Acute Hope this helps :)

Answer:

Wind

Hydroelectric Power

Solar

Geothermal

Answer:

90% confidence interval -> {0.4529, 0.5871}

Step-by-step explanation:

Check conditions for a 1-proportion z-interval:

np>10 -> 150(0.52)>10 -> 78>10 √

n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √

Random sample √

n>30 √

For a 90% confidence interval, the critical value is z=1.645

The formula for a confidence interval is:

CI = p ± z√[p(1-p)/n]

Given:

p = 78/150 = 0.52

n = 150

z = 1.645

Therefore, the 90% confidence interval is:

CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}

Context: We are 90% confident that the true proportion of all voters who

plan to vote for the incumbent candidate is contained within the interval

Answer:

In this problem, first we need to draw a circle of radius 3 cm having a center at point O. Now, take a point P at a distance of 5.5 cm from the center of the circle. Draw a line joining the point O and P. Now draw a perpendicular bisector of the line OP that cuts OP at M.

The statement is false as the number of terms in the equation is not two

The equation is given as

11 + 9k = 6n

Consider an equation represented as

a + b = c

The variables a, b and c are the terms of the equation

This means that the equation 11 + 9k = 6n has the following terms

11, 9k and 6n

The number of these terms is 3

So, the equation has three terms

Hence, it is false that the equation has two terms

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Answer:

a person jumping on a trampoline

Answer:

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to the exterior angle that is supplementary to the third interior angle

for first triangle

90 + 53 = u

143 = u

for the other triangle

102 + x = 4x + 6

102 = 4x + 6 - x

102 = 3x + 6 subtract 6 from both sides

96 = 3x divide both sides by 3

32 = x

Answer:

slope (m) = 4/5

Step-by-step explanation:

Equation of straight line: y = mx + b

∴ 4/5 is the slope

Answer:

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Step-by-step e.xplanati:kljkjk

Answer:

1 Chair= $1.25     1 table= $8.25

Step-by-step explanation:

5c+3t=31

2c+6t= 52

-2(5c+3t=31)

-10c-6t=-62

+

2c+6t=52

= -8c=-10

/-8      /-8

c= 1.25 or 1 1/4

2c+6t=52

2(1.25)+6t=52

2.5+6t=52

-2.5        -2.5

6t= 49.5

/6      /6

t= 8 1/4

Answer:

15 grams and 15000 milligrams

Step-by-step explanation:

Answer:

∠VWT and ∠UTW

∠STW and ∠XWT

Step-by-step explanation:

Answer:

96ft³

Step-by-step explanation:

Okay, so the formula for finding the volume of a triangular prism is base x height, so we first have to find the base:

6 x 4 ÷ 2 = 12

So then we plug our numbers into the formula:

12 x 8 = 96

So, the volume of the tent is 96ft³

hope this helps:)

Answer:

B. h=8

Step-by-step explanation:

The answer is B. h=8. I know because I solved to get h by itself. First, I set up the problem.

7.2h=57.6

Then, I divided each side by 7.2, so I could get h by itself.

h=8

You can check to make sure this is correct by plugging in the value we got for h into the equation.

7.2(8)=57.6

In conclusion, the answer is B. h=8

Answer:

I believe its 313$

Step-by-step explanation:

John originally have $1,118 in his savings​ account.

Here,

We have to find the original savings account of John.

What is Number system?

A system of writing to express numbers is called Number system.

Now,

Let us assume amount of money John originally have in his savings​ account = $x

Money spent on a radio = $108

Remaining money = x - 108

Money spent on presents for his friends = Two third of remaining money                                  = 5/9 (x - 108).

(Because 1 - 5/9  = 1/1 - 5/9  = 4/9)

Remaining money = 4/9 (x - 108).

Five sixth of his remaining money into a checking account = 5/6 * 4/9(x - 108)

( because 1 - 5/6 = 1/1 -5/6 = 1/6)

Remaining money = 1/6 *4/9 (x - 108).

Final remaining money =  1/6 *4/9 (x - 108)

And that is equal to the money donated to charity.

We can setup an equation now.

1/6 *4/9 (x - 108) = 80

4(x - 108) = 80 * 9 *6

x - 108 = 20 * 54

x = 1080 + 108

x = 1,188

Therefore, John originally have $1,118 in his savings​ account.

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Answer: Mechanical Pencils are $0.60

Colored Pencils are $0.80

Step-by-step explanation:

18c+22m=27.60

c-m=.20

+m    +m

so c= .20+m

Susitituete 18(.20+m)+22m=27.60

                  3.6+18m  +22m=27.60

                                    40m=27.60

                                      40m=24

                                         m=.60

c=.20+(.60)

c=.80

Answer:

14/3 or 4.6

Step-by-step explanation:

you would do 3.5 divided by .75 (=^w^=)

8x+2+70°+80° = 180°

8x+132° = 180°

8x = 180°- 132°

x = 48°/8

Hence, x = 6

Answer:

yo my bad

x=10 the other person solved it

Answer:

x=10

Step-by-step explanation:

8/x=0.8

8=0.8x

x=10

Answer:

it would be 28.44 sorry if it does not help

Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ [tex]3x^2-y^2=3[/tex]...(equation 1)

⇒ [tex]y+x-5=0[/tex]...(equation 2)

According to the 2nd equation, we get

⇒ [tex]y+x-5=0[/tex]

⇒              [tex]y=5-x[/tex]

On substituting the value of "y" in the 1st equation, we get

⇒  [tex]3x^2-y^2=3[/tex]

     [tex]3x^2-(5-x)^2=3[/tex]

     [tex]3x^2-(25+x^2-10x)=3[/tex]

     [tex]2x^2+10x-28=0[/tex]

On taking common, we get

     [tex]x^2+5x-14=0[/tex]

On applying factorization, we get

     [tex]x^2+7x-2x-14=0[/tex]

   [tex]x(x+7)-2(x+7)=0[/tex]

           [tex](x+7)(x-2)=0[/tex]

                        [tex]x+7=0[/tex]

                              [tex]x=-7[/tex]

or,

                         [tex]x-2=0[/tex]

                                [tex]x=2[/tex]

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

On substituting the values in the above formula, we get

= [tex]\sqrt{(2-(-7))^2+(3-12)^2}[/tex]

= [tex]\sqrt{(9)^2+(-9)^2}[/tex]

= [tex]\sqrt{81+81}[/tex]

= [tex]9 \sqrt{2}[/tex] units

Answer:

[tex]Factor = 6w^4 v^3[/tex]

Step-by-step explanation:

Given

[tex]30x^8 w^4 v^3[/tex] and [tex]12w^7 v^5[/tex]

Required

Determine the common factor.

To do this, we simply factorize each. SO, we have:

[tex](1)\ 30x^8 w^4 v^3=: 2 * 3 * 5 * x^8 * w^4 * v^3[/tex]

[tex](2)\ 12w^7 v^5:=\ 2 * 2 * 3 * w^4*w^3 * v^3 * v^2[/tex]

Check for similar factors.

[tex]Factor = 2 *3 * w^4 * v^3[/tex]

[tex]Factor = 6w^4 v^3[/tex]

The above represents the similar factor

9514 1404 393

Answer:

  8π m² ≈ 25.13 m²

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr²

The area of a semicircle is half that. Also, the radius (r) is half the diameter. So. the area of this semicircle is ...

  A = (1/2)π(4 m)² = 8π m² ≈ 25.13 m²

__

Comment on pi

If you use the 3-digit value 3.14 for pi to compute this 4-digit result, you will get 25.12.

Answer:

[tex]x = 0 \: y = - 2 \: \: \: \: x = 1 \: y = \frac{ - 13}{9} [/tex]

Answer:

X= ( 18/5 , 0)

Y= (0,-2)

Step-by-step explanation:

substitute 0 for y and solve for x

-5x+9(0) = -18

-5X + 0 = -18

-5X= - 18 - 0

-5X = -18

X = - 18/-5

X = 18/5

solve for Y

-5(0) +9y = -18

= 9y = -18

y= -2

Answer:(x + 1)(x - 1)(x + 5)(x - 3) is the fully factored form of the polynomial.

The zeros are (-1, 0), (1, 0), (-5, 0), and (3, 0).

x^4 + 2x^3 - 16x^2 - 2x + 15

We can use the rational roots theorem to find some of the possible roots, and after finding just one root, we can simplify this polynomial.

List factors of 15:

1, 3, 5, 15.

List factors of 1:

1.

Our possible rational factors are:

+/- 1, +/- 3, +/- 5, +/- 15.

To find factors, we can use the remainder theorem.

Replace all x values with 1.

1^4 + 2(1)^3 - 16(1)^2 - 2(1) + 15 = 0

Because the answer is zero, it means that 1 is a root.

We can divide this polynomial by x - 1 to find a simplified form.

After dividing, our quotient is: x^3 + 3x^2 - 13x - 15

We can continue finding factors by using the rational roots theorem. Once we have only three terms, we can try to factor using the AC method.

Our next possible root is -1.

(-1)^3 + 3(-1)^2 - 13(-1) - 15 = 0

We know that -1 is also a root, and so we can divide the polynomial by x + 1.

After diving we're left with x^2 + 2x - 15.

Now, we can try to factor using the AC method.

List factors of -15.

1 * -15

-1 * 15

3 * -5

-3 * 5 (these digits satisfy the criteria.)

Split the middle term.

x^2 - 3x + 5x - 15

Factor binomials.

x(x - 3) + 5(x - 3)

Rearrange binomials.

(x + 5)(x - 3)

Add in the two factors we already factored out.

(x - 1)(x + 1)(x + 5)(x - 3)

Step-by-step explanation: