Devon’s tennis coach says that 72% of Devon’s serves are good serves. Devon thinks he has a higher proportion of good serves. To test this, 50 of his serves are randomly selected and 42 of them are good. To determine if these data provide convincing evidence that the proportion of Devon’s serves that are good is greater than 72%, 100 trials of a simulation are conducted. Devon’s hypotheses are: H0: p = 72% and Ha: p > 72%, where p = the true proportion of Devon’s serves that are good. Based on the results of the simulation, the estimated P-value is 0.06. Using Alpha= 0.10, what conclusion should Devon reach?
Group of answer choices

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is not convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is not convincing evidence that the proportion of serves that are good is greater than 72%.

Answer:

46°

Step-by-step explanation:

Given that :

Angle, A = 66°

Angle B = 68°

The sum of angles in a triangle is given by :

A + B + C = 180° (sum if angles una triangle)

66° + 68° + C = 180°

134° + C = 180°

C = 180° - 134°

C = 46°

Hence, angle C is 46°

Answer:

34.75 i think

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 2 \ hours}}[/tex]

Step-by-step explanation:

Let's set up a proportion to solve. Use the following setup:

[tex]\frac {hours}{miles}=\frac{hours}{miles}[/tex]

We know that it takes Oliver 4 hours to drive 278 miles.

[tex]\frac {4 \ hours}{278 \ miles}=\frac{hours}{miles}[/tex]

We don't know how long it takes him to drive 139 miles. Therefore, we use the variable x for hours, because it is unknown.

[tex]\frac {4 \ hours}{278 \ miles}=\frac{x \ hours}{139 \ miles}[/tex]

[tex]\frac {4 }{278 }=\frac{x \ hours}{139 }[/tex]

We are solving for x, the hours it takes him to drive 139 miles. The variable must be isolated. It is being divided by 139 and the inverse of division is multiplication. Multiply both sides of the equation by 139.

[tex]139*\frac {4 }{278 }=\frac{x \ hours}{139 }*139[/tex]

[tex]139*\frac {4 }{278 }={x }[/tex]

[tex]2=x[/tex]

It takes Oliver 2 hours to drive 139 miles.

Answer:

x=−7

Solving for X:

Step 1: Simplify both sides of your equation.

5x−22=7x−8

Step 2: Subtract 7x from both sides.

5x−22−7x=7x−8−7x

−2x−22=−8

Step 3: Add 22 to both sides.

−2x−22+22=−8+22

−2x=14

Step 4: Divide both sides by -2.

-2x/-2 = 14/-2

^ x = -7

THEREFORE:

x is −7

Question:

Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?​

Answer:

[tex]x \le 18[/tex]

Step-by-step explanation:

Given

[tex]Border\ Material = 72[/tex]

Required

Determine an inequality for x

Represent the side lengths of the border with y. So:

Since the border is on the 4 sides, then

[tex]4y = 72[/tex] -- i.e. the perimeter of the border material

Solve for y

[tex]y =\frac{72}{4}[/tex]

[tex]y =18[/tex]

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.

[tex]x \le y[/tex]

Substitute [tex]y =18[/tex]

[tex]x \le 18[/tex]

Answer:

9

Step-by-step explanation:

first find the square's area by multiplying 12 × 12 to get 144

then divide 144 ÷ 16 to find the width which is 9

Hello! :)

1.-4(x+3)=8

-4(x+3)=8

(x+3)= -2

x=(-5)

☆GOOD LUCK!☆  

0.3 so yea i guess....

Answer:

Step-by-step explanation: 380

[tex] \huge \frak \green{question}[/tex]

prove that √p is an irrational number , if p is not a perfect square.

[tex] \huge \frak \red{answer}[/tex]

Let us assume, to the contrary, that √p is rational. So, we can find coprime integers a and b(b ≠ 0) such that :-

=> √p = a/b

=> √p b = a

=> pb² = a² ….(i) [Squaring both the sides]

=> a² is divisible by p

=> a is divisible by p So, we can write a = pc for some integer c.

Therefore,

a² = p²c² ….[Squaring both the sides]

=> pb² = p²c² ….[From (i)]

=> b² = pc²

=> b² is divisible by p

=> b is divisible by p

=> p divides both a and b.

=> a and b have at least p as a common factor.

But this contradicts the fact that a and b are coprime. This contradiction arises because we have assumed that √p is rational. Therefore, √p is irrational.

_____________________________________

[tex] \bold \green{i \: hope \: it \: is \: helpful}[/tex]

________________________________

Given:

Arc length = 6.6 cm

Radius = 14 cm

To find:

The angle subtended by the arc at the center.

Solution:

The formula for arc length is:

[tex]s=2\pi r\dfrac{\theta}{360}[/tex]

Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in degrees.

Putting [tex]s=6.6,\pi=\dfrac{22}{7},r=14[/tex],we get

[tex]6.6=2\times \dfrac{22}{7}\times 14\times \dfrac{\theta}{360}[/tex]

[tex]6.6=88\times \dfrac{\theta}{360}[/tex]

[tex]\dfrac{6.6}{88}\times 360=\theta[/tex]

[tex]27^\circ=\theta[/tex]

Therefore, the measure of the central angle is [tex]27^\circ[/tex].

Answer:

6

Step-by-step explanation:

f(s) = x^2 - 3

f(-3) = 6

f(0) = -3

f(1) = -2

f(2) = 1

Answer:

C or 3rd option

Step-by-step explanation:

1/3 - 2/5

15/15 - 6/15

9/15

B is not correct

2/5 - 1/3

this will be a negative answer

Answer:

yes

Step-by-step explanation:

–2.5 is greater than –3, because –2.5 lies to the right of –3 on the number line.

Answer:

1. True

2. 40.96

Step-by-step explanation:

Can provide if needed

Answer:

Question 4:True

Question 5: 40.96

Step-by-step explanation:

Question 4: 7.4 times 5.2 dived by 2.

Question 5: 6.4 x 6.4.

Please give me Brainliest (:.

[tex]282.8cm pa brainlest po[/tex]

Answer:

Fred's total net worth is $61,900

Step-by-step explanation:

For net worth, add assets together and then subtract the liabilities from the total:

90,000 + 12,500 + 20,200

122,700 - (53,000 + 5,800 + 2,000)

61,900

Answer:

$61,900

Explanation:

Add all the assets: 90000 + 12500 + 20200 = 122700

Add all the liabilities: 53000 + 5800 + 2000 = 60800

Total assets - liabilities: 122700 - 60800 = $61900

Answer:

the perimeter is 28

Step-by-step explanation:

2+2=4

12+12=24

24+4=28

Answer:

Perimeter = 28 feet

Step-by-step explanation:

The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement

12 * d = 24

d = 24/12

 d = 2

So the missing dimension is 2 feet

Now we simply find the perimeter of the rectangle  using the formula

   2 ( length + width)

 = 2 (12 + 2 )

           = 2 ( 14 )

           = 28 feet

Answer:

the height is 9.8 cm

Step-by-step explanation:

71.54 ÷ 7.3 = 9.8

Given:

PQRS is a rectangle.

X is the midpoint of SR.

To find:

The measure of QX.

Solution:

It is given that X is the midpoint of SR. Draw a perpendicular on PQ from point X as shown in the below figure.

Now, the line XY divides the rectangle PQRS into two equal squares of sides 4 units.

The diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

QX is the diagonal of the square whose side length is 4 units. So, the length of QX is:

[tex]d=4\sqrt{2}[/tex]

[tex]d=5.656854[/tex]

[tex]d\approx 5.7[/tex]

Therefore, the measure of segment QX is about 5.7 units.

Answer:

Constant of variation: $8.25

Equation: y=8.25x

Step-by-step explanation:

231/28=8.25

Answer:8.25

Step-by-step explanation:

231/28

The angels that are congruent to 8 are 6, 3, 1.

Answer:

36

Step-by-step explanation:

Length x width = area (6 x 6 = 36). Hope this helps.

Answer:

x=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

3x+3/2=x/2-6

=6x+3/2=x-12/2

=2x-24=12x+6

=2x-12x=6+24

= -10x=30

= -3

Answer:

45 degrees

Step-by-step explanation:

since a triangle has angle that add up to 180.Take 50 add with 40 and then divide by 2

Answer:

the correct answer is 7

Step-by-step explanation:

-5-(-7) = -5 +

two minus is plus so it is

-5 + 7