A 95 percent confidence interval for the difference between the proportion of high school seniors who play a varsity sport in the school district and high school juniors who play a varsity sport in the school district is to be calculated. What is the standard error of the difference

Answer:

X=25

Step-by-step explanation:

All angles of a triangle add up for 180

We know that there is a 90 degree right angle.

So (x+25)+(2x-10)=180-90

Remove parenthesis since they don't matter in this problem.

x+25+2x-10=90

Combine similar terms

3x+15=90

Subtract 15 from both sides

3x=75

Divide both sides by 3

x=25

Answer:

Each hour the water will rise 10 in. After 4 hours the water will be 40 in deep. It will take 8 hours for the water to reach a depth of 80 in.

Answer: C

Step-by-step explanation: None of the x values repeat

Answer:

33(5/6) sq miles

Step-by-step explanation:

Area = LxW

812 = 24xW

Divide by 24

W = 33.8333333 ( 33 (5/6)

8 is non repeating

3 is repeating

For nominator subtract the non repeating    (83-8 = 75)

For  denominator :  one 9 for each non repeating,one zero for each repeating (only 3 is repeating,then one zero)

  75/90  = 5/6

Step-by-step explanation:

-30/100 * 140 = 420/10, 0 gets canceled, so x= 42

-64/100 * 40/1 = 64 *4/10 = 256/10 (simplify by 2) = 128/5 (I'm not sure on this one)

-z = 10

Answer:

D

Step-by-step explanation:

Answer:

The answer is "32 and 4.6648".

Step-by-step explanation:

binomial distribution of x

probability of sucess[tex](P)=32\%=0.32[/tex]

randomly selected number by giraffes [tex]n=100[/tex]

now

[tex]\mu_x=np\\\\[/tex]

    [tex]=(100)(0.32)\\\\=32\\\\[/tex]

[tex]\Sigma_x=\sqrt{np(1-p)}[/tex]

     [tex]=\sqrt{100(0.32)(1-0.32)}\\\\=\sqrt{21.76}\\\\= 4.664761\\\\=4.6648[/tex]

Answer:

10.8

1.0392

Step-by-step explanation:

for the shape of the probability histogran it is D) Skewed left

Answer:

uniform for 1 student = 1 1/8 = 9/8

uniform 32 students = 32 x 9/8 = 36m

Total cloth = 45 3/4 = 183/4 = 45.75m

Cloth left = 45.75 - 36 = 9.75m i hope that helps

Answer: =12x+9y

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

I think its a normal 7 and a normal 3 then a -4 and a -9 and a -10

Answer:

H = 11

Step-by-step explanation:

volume is 165

base is 15.

V = Bh

165 = 15 x ?

? = 11

check answer

15 x 11 = 165

Step-by-step explanation:

y = -4(x – 7)(x - 1)

= -4(x²-8x+7)

= -4x²+32x-28

Answer:

113.112cm^3

Step-by-step explanation:

Given data

Height= 12cm

Diamter= 6cm

Radius= 3cm

The expression for the volume of a cone is given as

V= 1/3*πr^2h

Substitute

V= 1/3*3.142*3^2*12

V=  1/3*3.142*9*12

V=  1/3*339.336

V=113.112cm^3

Hence the volume is 113.112cm^3

Answer:

7,500,000

Step-by-step explanation:

(4.8 x 10^2) is 480 now divide by 0.000064 since (6.4 x 10^-5)  is 0.000064 and you get 7,500,000.

Hope this help's !

Answer:

7,500,000

Step-by-step explanation:

^^^^^^^^^^^^

Answer:

a) The quotient rule is:

if: f(x) = 1/g(x)

Then:

[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]

In this case, we have:

G(x) = 1/x

Then we can write this as:

G(x) = 1/h(x) with h(x) = x, and h'(x) = 1

Using the above rule we get:

G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2

b) For a function like:

f(x) = x^n

we have that:

[tex]f'(x) = n*x^{n - 1}[/tex]

Here we can write G(x) = x^-1

Then we have n = -1

If we use the above rule, we get:

[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]

So we got the same result using both methods.

Answer:

(a) 1

Step-by-step explanation:

In each outcome triplet, each flip has a chance to be H or T. Thus, the following describes all the possible outcomes:

We see that the only option without one tail is the first one, HHH, so the answer is (a) 1.

Answer:

x = 16

Step-by-step explanation:

The angles shown are vertical angles

Vertical angles are congruent ( equal to each other )

Thus, 85 = 4x + 21

( we now solve for x )

85 = 4x + 21

step 1 subtract 21 from each side

21 - 21 cancels out

85 - 21 = 64

we now have 64 = 4x

step 2 divide each side by 4

64 / 4 = 16

4x / 4 = x

we're left with x = 16

x=16....................................................

Answer:

([-3], [0]), ([3], [0])

Step-by-step explanation:

The given equation of the hyperbola is presented as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1[/tex]

The vertices of an hyperbola (of the form)  [tex]\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex] are (± a, 0)

The given hyperbola can we presented in a similar form as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1[/tex]

Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;

The vertices of the parabola are ([-3], [0]), ([3], [0]).

Answer:

4x^2

Step-by-step explanation:

Call the unknown side y

The area of the figure is

8x^3 *y = 32 x^5

Divide each side by 8 x^3

8x^3 *y / 8x^3 = 32 x^5 / 8x^3

y = 4 x^2

The unknown side is 4 x^2

Answer:

4x^2

Step-by-step explanation:

32x^5 / 8x^3 = 4x^2

or 4x^2 * 8x^3 = 32x^5

so 4x^2

Answer:

I would say a parrallelogram

Step-by-step explanation:

Answer:

9.23

14.43-5.2=9.23

Step-by-step explanation:

Mark me brainliest plZZZZZZZZZZZZZZZZZZZZZZZZZ

Answer:

4, $17

2, $11

Step-by-step explanation:

Given data

Charge= $5

Additional Charge= $3 per hour

The total charge will be

y= 5+3x

Number of hours

1. for  4 hours

The total will be

y= 5+3(4)

y= 5+12

y= $17

2. for  2 hours

The total will be

y= 5+3(2)

y= 5+6

y= $11

Answer:

y=(x-1)^2 -1

Step-by-step explanation:

If you put it in the form (x-a)^2=b

The answer will be (x-1)^2=1

Answer:

Step-by-step explanation:

x/9=8/12

8/12=4/6=2/3

9

3*3

9*1

2/3*3/3=6/9

Hope this helped,

Kavitha

Answer: C. x=6

Step-by-step explanation: x/9=8/12

8/12/2/2=4/6/2/2=2/3

2×9/3

18/3

x=6

​  

Answer:

7.) x = 12

9.) x = 4

Step-by-step explanation:

7.) Angle Y and Angle X both add up to 180

=> 40 + 12x - 4 = 180

=> 36 + 12x = 180

=> 12x = 180 - 36

=> 12x = 144

=> x = 12

9.) Angle W and Angle X add up to 180

=> 145 + (-1) + 9x = 180

=> 144 + 9x = 180

=> 9x = 180 - 144

=> 9x = 36

=> x = 36 / 9

=> x = 4

Hope this helps!

Answer:

The parallelogram ABCD is what makes the parallelogram.

The proof given was AC and BD bisect each other.

Bisect means to divide into 2 parts. AC and BD both divide into 2 parts with each other.

But the lines need to be in 2 equal parts.

So if we were to divide it in that case, it would be able to bisect.

This is given proof that parallelogram ABCD is a parallelogram.

Answer:

Solution given:

ABCD is a parallegram.

In ∆ADE and ∆BCE

AD=BC[corresponding side of parallelogram are equal]

<AED=<BEC[ vertically opposite angle]

<ADE=<EBC[alternate angle]

so

∆ADE are congruent to ∆BCE by S.A.A. axiom

we have

DE=BE[corresponding side of congruent triangle are equal]

Similarly

AE=CE

we have

AC=BD

AE+CE=BE+DE

2AE=2BE

AE=BE

so.we can rightly say that AC and BD bisect each other.