Unit 10: Circles Homework 4: Inscribed Angles

Find each angle or arc measure of mRS

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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]

The machine is known to have 99 green balls and 78 red balls.

This means that [tex]p = \frac{99}{99+78} = 0.5593[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.5593[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373[/tex]

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.61 - 0.5593}{0.0373}[/tex]

[tex]Z = 1.36[/tex]

[tex]Z = 1.36[/tex] has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

Answer:

21 you is smart 8th

Step-by-step explanation:

smart smart 99

Answer:

According to the guideline from the Health Department, every over-weight child needs to take a fitness test.

Every ten over-weight children would be randomly grouped together to attend the fitness test. According to

the past experience

Step-by-step explanation:

Answer:

-4 * 7/10 = -2.8

Answer:

it's simple just divide

Answer:

133 square centimeters

Step-by-step explanation:

Answer:

Surface A≈146.25 square centimeters

Step-by-step explanation:

Answer:

A taxa de juros desse fundo de investimento é de 24% ao ano.

Step-by-step explanation:

Esta é uma questão que envolve juros simples.

A quantidade de juros acumulados depois de t anos é dado por:

[tex]J = P*r*t[/tex]

Em que P é o investimento inicial, r é a taxa de juros, é t é o tempo, em anos.

O montante é dado por:

[tex]M = J + P[/tex]

Um investidor aplicou a quantia de R$ 500,00.

Isso significa que [tex]P = 500[/tex]

Juros acumulados:

Montante era de R$ 560,00, o que significa que [tex]M = 560[/tex]

Então, a quantidade de juros acumulados é dada por:

[tex]M = J + P[/tex]

[tex]J = M - P = 560 - 500 = 60[/tex]

Taxa de Juros:

6 meses é meio ano, o que implica que [tex]t = 0.5[/tex]

Então

[tex]J = P*r*t[/tex]

[tex]60 = 500*r*0.5[/tex]

[tex]250r = 60[/tex]

[tex]r = \frac{60}{250}[/tex]

[tex]r = 0.24[/tex]

A taxa de juros desse fundo de investimento é de 24% ao ano.

Answer:

a) There are 93,367,432,000,000 ways to place the lunch order.

b) There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

a. How many different ways are there for the company to place the lunch order for the 10 lunches?

For each of the 10 lunches, there are 25 options. So

[tex]25^10 = 93,367,432,000,000[/tex]

There are 93,367,432,000,000 ways to place the lunch order.

b. How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different?

The order is important, which means that the permutations formula is used to solve this question. So

[tex]P_{(25,10)} = \frac{25!}{(25-10)!} = 11,861,676,000,000[/tex]

There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.

Answer:

$5740

Step-by-step explanation:

get 2.5% of 5600

5600/x=100/2.5

(5600/x)*x=(100/2.5)*x

5600=40*x

5600/40=x

140=x

x=140 <----- 2.5% of 5600

5600 + 140 = $5740

Answer:

football and soccer looks right :)

Step-by-step explanation:

Your Answer;

❀♡ 12 x 24 + 4 x 13 = 340 ♡❀

Answer:

340

Step-by-step explanation:

Answer:

=2277 Ans.

Step-by-step explanation:

Find the selling price

(a) Cost =600

Profit=13%

Selling price =Cost + profit

=600+

100

600×13

​

=600+78

=678 Ans.

(b) Cost=2475, loss=8%

Selling price = Cost+ profit/loss

=2475+(−

100

2475×3

​

)

=2475−198

=2277 Ans.

Answer: 2 1 4

Step-by-step explanation: cant say.

9514 1404 393

Answer:

  164π cm²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...

  1/2A = (1/2)(π)(d/2)² = (π/8)d²

The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.

The total area will be ...

  area of largest + area of middle-size - area of smallest

  = (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²

The area of the shape is 164π cm².

Answer:

Reflex angle

Step-by-step explanation:

Properties of reflex angles:

1). Any angle measuring between 180° and 360°.

2). Other side of the reflex angle is either acute or obtuse angle.

By these properties,

Since, angle C measures more than 180° but less than 360° and opposite angle is an acute angle.

By these properties angle C and angle D are the reflex angles.

Answer:

Slope is 3/-7

Step-by-step explanation:

[tex]slope = \frac{6 - 3}{ - 5 - 2} = \frac{3}{ - 7} [/tex]

Answer: easy is 6/5

Step-by-step explanation:

Here why 3/2 times 4/5

Answer:

225

Step-by-step explanation:

225 ÷ 9 =25

Step-by-step explanation:

for perimeter you just add up all of the sides so :

(x+4) +( 2x)+(4x-2)+(3x-1) = 10x +1

Answer:

3

Step-by-step explanation:

Answer:

The answer to this question is X=3

Step-by-step explanation:

15x3=45

45+1=46

Hope my answer helps you!!!

Answer:

0.340007556

Step-by-step explanation:

its correct

Answer:

The answer is 300

The number of cubic centimeters of paint contained in the full jar container is n = 300 and the volume is V = 300π cm³

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

The volume of a right circular cylinder can be calculated using the formula:

V = πr²h

where V is the volume, r is the radius of the base, and h is the height.

Substituting the given values, we have:

V = π(5 cm)²(12 cm)

V = π(25 cm²)(12 cm)

V = 300π cm³

Hence , a full container of paint contains 300π cubic centimeters of paint.

To learn more about cylinder click :

https://brainly.com/question/16134180

#SPJ2

Answer:1.8

Step-by-step explanation: