Is AB tangent to circle C?

Answer:

The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

62% of those people get some relief from taking ibuprofen (true proportion).

This means that [tex]p = 0.62[/tex]

Sample of 100

This means that [tex]n = 100[/tex]

A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.

By the Central Limit Theorem, it is approximately normal with

Mean [tex]\mu = p = 0.62[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.62*0.38}{100}} = 0.0485[/tex]

Answer:

2/35

Step-by-step explanation:

Assuming that this is without replacement,

The total amount of marbles is 2+9+3+7, or 21.

9 are yellow, 3 are white. this makes 12.

The probability of selecting a white or yellow marble is 12/21.

Now without replacement (comment if it is with replacement.), there are 20 marbles left, and 2 are Cordovan. This means there is a 2/20 chance then of picking a Cordovan marble.

After multiplying the fractions we get

(12/21) * (2/20) = 2/35.

There is a 2/35 chance of selecting a yellow or white, then a cordovan marble.

Answer:

A:38 c:54

Step-by-step explanation:

First off, I did the easiest which was a. i found the value of A by subtracting 180 by 142. because a flat line is 180 degrees.

For C, It was more difficult. I subtracted 88 by the value of A, since the value of A is the same as the one next to 88. So I subtracted 126 (88+38) and got 54.  

Fortunately, I couldn't figure out B though, but i think it is a similar answer to c.  

Answer:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 2x+ 4 = 10

2x = 6

x = 3 (3 is the answer)

2) we have to substitute y with 3 and z with 4

3.75*3 + 6.50*4 ≥ 50

11,25 + 26 ≥ 50

37.25 ≥ 50

so the answer is no, because the total will be $37.25

3)  12k + 2 < 12

12k < 10

k < 5/6

3/4 < 5/6  so the answer is true

4) we have to try the options

a)  3*4 + 4*2 + 6 = 26

12 + 8 + 6 = 26

26 = 26 (true)

b) 3*5 + 4*6 + 6 = 26

15 + 24 + 6 = 26

45 = 26 (false)

c) 3*4 + 4*3 + 6 = 26

12 + 12 + 6 = 26

30 = 26 (false)

d) 3*3 +4*5 + 6 = 26

9 + 20 + 6 = 26

35 = 26 (false)

so the answer is x=4 , y=2

5) 3a + 4 ≥ 13

3a ≥ 9

a ≥ 3

so the answer is {3,4.5,5}

She used two trapezoids.

She put one trapezoid on top and one on the bottom.

The shape she ends up making is a hexagon.

Answer:

-4,4

Step-by-step explanation:

Answer:

QUESTION:

Write an equivalent expression for 6( 4 + 2m) ?

ANSWER:

6(4+2m) = ?

6 X 4 = 24

6 X 2m = 12m

Final answer:

12m + 24

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

Answer:

3.5pi

Step-by-step explanation:

just multiply together and you'll get your answer

Answer:

38.5 cm^2

Step-by-step explanation:

Diameter ( d ) = 7 cm

Radius ( r ) = 7 / 2 cm

Formula : -

Ar ( circle ) = π r^2

π r^2

= ( 22 / 7 ) x ( 7 / 2 )^2

= ( 22 / 7 ) x ( 49 / 4 )

= 38.5 cm^2

Answer:

27,353,088 cubic inches

Step-by-step explanation:

How to find the volume of a rectangular prism

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Solve

In this case, The volume of a rectangular prism with a length of 112feet,

width of 212 feet, and height of 8 inches:

But in this case, we need to convert both the length and width to inches.

If 1ft = 12in

Then, 112ft = 1344in  (Multiply 112 by 12)

Also, 212ft = 2544 (Multiply 212 by 12)

So, the volume = 1344 x 2544 x 8

Calculated out this gives a volume of 27,353,088 cubic inches.

Answer:

83

Step-by-step explanation:

supplementary angles have sum of 180

The length of side AB in the given triangle is 22.6. The correct option is the first option 22.6

From the question, we are to determine the length of side AB in the given triangle.

Using the law of sines, we can write that

AB/sinC = BC/sinA

From the diagram,

C = 50°

BC = 19

A = 40°

Thus,

AB/sin50° = 19/sin40°

AB = (19 × sin50°) / sin40°

AB = 22.6433

AB ≈ 22.6

Hence, the length is 22.6

Learn more on Calculating the length of a side of a triangle here: https://brainly.com/question/24138896

#SPJ1

Answer:

The last option is your answer

Step-by-step explanation:

Answer:

1. Obtuse

2. Right

3.Acute

4.Acute

5.Right

6.obtuse( Not sure about this one)

Answer:

1.34%

Step-by-step explanation:

Given data

Rent =$879

Car payment =$315

Credit card payment= $102

Annual Income= $96,448

In all the  debt  is

=879+315+102

=$1296

Hence the debt to  income ratio is

=1296/96,448

=0.0134

As percent

=0.0134*100

=1.34%

Step-by-step explanation:

what is your questions

Answer:

The answer would be 13.5 pints

Step-by-step explanation:

when you do 2 gallons - 2 pints you get 1.75 gallons

then when you do 1.75 - 1 cup you get 13.5 pints

Answer:

????

Step-by-step explanation:

We need more information to help figure out the answer! Otherwise, I do understand it so far! :)

Answer:

she should just buy the best one

Step-by-step explanation:

Answer:

Read explanation

Step-by-step explanation:

x+4=15

-4=15-4

x=11

0.4 is the scale factor (similarity) between the two triangles, so multiply 25 x 0.4 to get y value.

Y= 10

Hope this helped! Please heart <3

Answer:

<DBE is 25.5

<ABE=115.5

Step-by-step explanation:

<DBE is 90-64.5 because DBC is a right angle

<DBE is 25.5

<ABE= 90+25.5 because ABD is a right Angle and DBE is 25.5

<ABE=115.5

Answer:

Step-by-step explanation:

This uh

Answer:

MEAN

Step-by-step explanation:

Have a Great Day!

Answer:

Not quite sure, but I think its the mean?

Answer:

The answer to this problem is 12.5.

Step-by-step explanation:

The formula for finding the area of a triangle is b * h * 1/2 or divide by 2 (base times height times one-half or two).

Since this is a equilateral triangle, all of the sides are equivalent to each other.  Since we know one of the sides is 5, all of the sides are 5.

5 * 5 = 25

Then you need to multiply this answer by 1/2 or divide by 2, whichever is easier.

25 / 2 = 12.5

The answer is 12.5.

Also, it would be FANTABULOUSLY AMAZING if I could get brainliest!!!

Just sayin, that would be pretty great.

Answer: X and y are about 24.04

Step-by-step explanation:

for a 45 45 90 triangle [tex]C=a\sqrt{2}[/tex]

[tex]34=a\sqrt{2}[/tex]

[tex]34^{2} =2a^{2}[/tex]

[tex]1156=2a^{2} \\578=a^{2} \\24.04=a[/tex]

Answer:

x = 3

y = 4

Step-by-step explanation:

y = 3x -5

4x - 2(3x-5) = 4

4x - 6x + 10 = 4

-2x = -6

x = 3

y = 4

Answer:

29

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

largest number - smallest number

54 - 3 = 51

Answer:

51

step by step

Explanation: The range of a data set is the difference between the largest number in the data and the smallest number in the data set which in this case is 54 - 3 of 51. So the range of this data set is 51.

Answer:

The probability of the given scenario occuring is about 0.0153.

Step-by-step explanation:

A standard deck contains 52 cards.

We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.

So, the probability that the first card is a spade is 13/52 or simply 1/4.

Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.

This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.

Now that we've drawn two cards without replacing them, the total number of cards left is 50.

And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.

Then the probability of the third card being hearts will be 12/50 or 6/25.

Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:

[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]

The probability of the given scenario occuring is about 0.0153.

Answer:

68 people

Step-by-step explanation:

Find how many finished in under 3 hours by multiplying 80 by 0.85

80(0.85)

= 68

So, 68 people finished in under 3 hours