9. Your mathematics instructor claims that, over the years, 88% of his students have said that math is their favorite class. In this year's class, however, only 21 out of 32 students named math as their favorite. The teacher decides to conduct a test of the hypothesis H0 : p = .88. If Ha : p < .88, what's the corresponding P-value?

Answer:

66.67%

Step-by-step explanation:

total matches = 9

matches won = 6

percentage = matches won*100/ total matches

percentage = 600/9

= 66.67%

Answer:

40%

Step-by-step explanation:

Answer: She should use 12 ounces of Sweet Rose Tulsi tea and 4 ounces of Orange blossom green tea.

Step-by-step explanation:

Let x represent the number of ounces of Sweet Rose Tulsi tea that she should use.

Let y represent the number of ounces of Orange blossom green tea that she should use.

She wants to blend 16 ounces of the tea blend. It means that

x + y = 16

x = 16 - y

Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If the the tea blend is to sell for $4.23 per ounce, then the 16 ounces would be sold for 16 × 4.23 = 67.68

it means that

4.98x + 1.98y = 67.68- - - - - - - - - - -1

Substituting x = 16 - y into equation 1, it becomes

4.98(16 - y) + 1.98y = 67.68

79.68 - 4.98y + 1.98y = 67.68

- 4.98y + 1.98y = 67.68 - 79.68

- 3y = - 12

y = - 12/-3

y = 4

x = 16 - y = 16 - 4

x = 12

Answer:

i. 6

ii. [tex]5\frac{5}{9}[/tex]

iii. 7

Step-by-step explanation:

First organize the data from least to greatest.  3,3,4,5,6,7,7,7,8

To find the median, remove the extremes from the data over and over.

3,4,5,6,7,7,7

4,5,6,7,7

5,6,7

6

To find the mean, add all of the numbers and divide by 9

3+3+4+5+6+7+7+7+8=50

50/9=[tex]5\frac{5}{9}[/tex]

To find the modal mark, simply find the number present most in the data set: 7(occurs 3 times)

Hope it helps <3

Answer:

-12

Step-by-step explanation:

We just plug in -3 and multiply.

4y

= 4(-3)

= -12

Hope this helped!

Answer:c

Step-by-step explanation

Answer:

the Answer is A

Step-by-step explanation: took the test

Answer:

ST is 5

Step-by-step explanation:

Divide the larger triangle's BC by 3.

Answer:

It'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean

Step-by-step explanation:

Given

[tex]World\ Ocean: 1.4 * 10^9 km^3[/tex]

[tex]Bucket: 20,000 cm^3[/tex]

[tex]1 km^3 = 10^{15} cm^3[/tex]

To get the number of bucket loads, we simply divide the size of the ocean by the size of the bucket;

[tex]Number = \frac{Ocean\ Size}{Bucket\ Size}[/tex]

[tex]Number = \frac{1.4 * 10^9 km^3}{20,000cm^3}[/tex]

Expand the numerator

[tex]Number = \frac{1.4 * 10^9 * 1km^3}{20,000cm^3}[/tex]

Recall that [tex]1 km^3 = 10^{15} cm^3[/tex]

So, the expression becomes

[tex]Number = \frac{1.4 * 10^9 * 10^{15} cm^3}{20,000cm^3}[/tex]

Simplify the numerator using laws of indices

[tex]Number = \frac{1.4 * 10^{9+15} cm^3}{20,000cm^3}[/tex]

[tex]Number = \frac{1.4 * 10^{25} cm^3}{20,000cm^3}[/tex]

Expand the denominator

[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10,000cm^3}[/tex]

[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10^4\ cm^3}[/tex]

Split fraction

[tex]Number = \frac{1.4}{2} * \frac{10^{25} cm^3}{10^4\ cm^3}[/tex]

[tex]Number = 0.7 * \frac{10^{25}}{10^4\ }[/tex]

Simplify fraction using laws of indices

[tex]Number = 0.7 * 10^{25-4}[/tex]

[tex]Number = 0.7 * 10^{21}[/tex]

[tex]Number = 7 * 10^{20}[/tex]

Hence, it'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean

Answer:

B

Step-by-step explanation:

We begin with the given function [tex]f(x)=x^2[/tex]

To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]

[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]

Now that we know the equation of  [tex]g(x)[/tex], we can find the graph that is equivalent to it.

The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer to your question is 12x - 24=60

So we know that 12x will be the number of cookies.

It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.

Here is the work:

12 (x-2)= 60

12x-24=60

So the answer should be 12x -24 = 60

Hope this helps!

By:xBrainly

Answer:

32 hours and 65 minutes

Step-by-step explanation:

Answer:

The Answer is 33 hours and 5 minutes

Step-by-step explanation:

The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min

You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.

Answer:

Option B

Step-by-step explanation:

The formula for geometric sequence is given by:

[tex]a_{n} = a_{1}r^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] = nth term of sequence

[tex]a_{1}[/tex] = 1st term of the sequence

[tex]r[/tex] = common ratio (ration of the second term to the first term)

So,

Here:

[tex]a_{1}[/tex] = 12

[tex]r[/tex] = 6/12 = 1/2

Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:

=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]

Answer: The length of each of the two equal sides is 19 km

Step-by-step explanation:. Subtract the giver lengths of the bases: 4+1= 5

43 - 5 = 38.

The trapezoid is iscosceles, so the remaining two sides are equal.

Divide. 38/2 = 19

I hope this helps you!

Answer:

the answer in the paper

my correction of there ia am error in the my answer

Answer:

                 [tex]x\in\left\{\dfrac{1+\sqrt{11}}{5}\,;\ \dfrac{1-\sqrt{11}}{5}\right\}[/tex]

Step-by-step explanation:

                                   [tex]-5y^2+2y=-2\\\\-5y^2+2y+2=0\\\\a=-5\,,\ \ b=2\,,\ \ c=2\\\\\Delta=2^2-4\cdot(-5)\cdot2=44\quad\implies\quad\sqrt\Delta=2\sqrt{11}\\\\x_1=\dfrac{-2-2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1+\sqrt{11})}{-2\cdot5}=\dfrac{1+\sqrt{11}}{5}\\\\x_2=\dfrac{-2+2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1-\sqrt{11})}{-2\cdot5}=\dfrac{1-\sqrt{11}}{5}[/tex]

If you meant to say the fraction 141/8

then 141/8 = 17.625 which rounds to 18

5.89 rounds to 6

then we have 18-6 = 12

The answer is choice B

Answer: 214

Step-by-step explanation:

The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]

arc EDF measures is 214°

The arc is a portion of the circumference of a circle

The circumference of a circle measures 360°,

Since minor arc EF measures 146°,

arc EDF measures = 360°-146° = 214°

Hence, arc EDF measures is 214°

learn more about arc of circle

https://brainly.com/question/1577784

#SPJ2

Answer:

€86.13

Step-by-step explanation:

The computation is shown below:

According to the given question

The estimation we told is

£3 = €4

£ reflects the sign of the pound and "€" reflects the sign of Euro.

Therefore we apply the estimation we get

£1 = €

Now multiply both sides by 73.50.

£64.60= €

£64.60  = €

Therefore, the estimated value of £64.60 is €86.13 (£64.60 × 4 ÷ 3)

Answer:

x = -59/4

Step-by-step explanation:

3 x+ 2 = -x-57

Add x to each side

3 x+x+ 2 = -x+x-57

4x+2 = -57

Subtract 2 from each side

4x +2-2 = -57-2

4x = -59

Divide each side by 4

4x/4 = -59/4

x = -59/4

Answer:

Sammy delivered 10 pizzas to each party.

Step-by-step explanation:

34 pizzas - 4 pizzas

= 30 pizzas

30 pizzas/ 3 parties

= 10 pizzas per party

Answer:

Hey there!

Sammy delivered four to his colleagues. Thus, he has 34-4, or 30 pizzas left.

He split these between three parties, thus each party received 10 pizzas.

Hope this helps :)

Answer:

The first one

Step-by-step explanation:

because all of the sides have the same measurement.

Answer:

Triangle C

Step-by-step explanation:

Triangle A: All sides have length 9 cm.

By SSS this is a unique triangle.

Triangle B: Two sides have length 10 cm, and the included angle measures 60°.

By SAS this is a unique triangle.

Triangle C: Two angles measure 50°.

This gives us at most SS Similarity, so we do not have a unique triangle. The triangle sides can be any length. This is not unique.

Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?

This gives us ASA, so we have a unique triangle.

Answer: Triangle C

Answer:

Second option is the right choice.

Step-by-step explanation:

(x - h)^2 + (y - k)^2 = r^2

Where, (h, k) is the center of the circle.

So, for the given equation, we have the center at:

(h, k) = (-5, 2)

Best Regards!

Answer:

C

Step-by-step explanation:

7x + 3y = 30 (equation 1)

-2x + 3y = 3 (equation 2)

9x = 27 (subtract the two equations to eliminate y)

x = 3 (divide by 9)

7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)

21 + 3y = 30 (7 * 3 = 21)

3y = 9 (Subtract 21)

y = 3 (divide by 3)

Answer is (3, 3)

Answer:

(3,3)

Step-by-step explanation:

7x + 3y = 30

-2x + 3y= 3

Multiply the second equation by -1 and add together to eliminate y

7x + 3y = 30

2x - 3y= -3

---------------------

9x + 0y = 27

Divide by 9

9x/9 = 27/9

x = 3

Now find y

-2x+3y = 3

-2(3) +3y =3

-6 +3y = 3

Add 6 to each side

3y = 3+6

3y=9

Divide by 3

y = 3

Answer:

[tex](x-4)^{2} -16[/tex]

Step-by-step explanation:

[tex]x^{2} -8x\\\frac{8}{2} =4\\4^{2} =16\\\\x^{2}-8x+16-16\\\\ (x-4)^{2} -16[/tex]

Answer:

Thus we can see that Amount of pineapple juice is more in Jo's drink And Amount of Orange juice is less in Jo'drink .

Step-by-step explanation:

If you want to see if Jo’s drink is equivalent you have to make equivalent ratios.

punch recipe : 2 cups : 3 cups

Jo’s : 3 cups : 4 cups

Let’s make the pineapple juice each 1 cup

punch recipe: 1 cup : cups?

Jo’s : 1 cup : cups?

we have to divide in order for this to work!  since we divided 2 cups by 2 we divide 3.

punch recipe : 1 cup : 1.5

do the same thing for Jo’s. We divided 3 cups by 3 we divide 4 cups by 3 now.

jo’s recipe : 1 cup : 1.3

compare 1.5 is bigger than Jo’s recipe hers is not equivalen.

Answer is will have stronge pinnaple juice

Answer: Line

Explanation: Points that lie on the same line are called collinear points.

I'll show you an example.

Below, points E, B, and D are collinear since they lie on the same line.

I have highlighted the line green to see it more clearly.

However, C, B, and D would not be collinear

since they don't all lie on the same line.

Answer:

I hope it will help you......

Answer: Negative

- 8y = 6

Step-by-step explanation:

-6x + 4y = -8

6x - 12y = 14

--------------------------

- 8y = 6