Prove that the recurring decimal 0.43333... has the value 13/30

Answer:

b

Step-by-step explanation:

Answer:

0.9398 = 93.98% probability that the student is not of Asian origin.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Business student

Event B: Not of Asian origin.

Probability that the student is an undergraduate majoring in business.

15% of 13%(Of Asian origin).

35% of 100 - 13 = 87%(Not of Asian origin). So

[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]

Business student and not of Asian origin:

35% of 87%. So

[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]

One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]

0.9398 = 93.98% probability that the student is not of Asian origin.

Answer:

Step-by-step explanation:

Answer:

The scale factor is (2/3)

Step-by-step explanation:

[tex]9 \times \frac{2}{3} = 6 \\ 12 \times \frac{2}{3} = 8[/tex]

I hope that is useful for you :)

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Explanation:

Notice how 98-2*6 = 98-12 = 86. So we're 2 standard deviations below the mean.

Start at the center, which is where the highest point is located. The value 98 is at the center. Then move 2 spots to the left, which has us move 2 standard deviations lower than the mean, and we arrive at 86. Refer to the diagram below.

From here, we add up the percentages in that diagram that are below the 86 mark. Those percentages are the 0.15% and 2.35%

So we get (0.15%) + (2.35%) = 2.5% which is the answer

Side note: This diagram is using the Empirical Rule. Some textbooks call it the "68-95-99.7 rule", but that's more clunky of a name in my opinion. The three values 68, 95 and 99.7 refer to the approximate percentage values within 1, 2 and 3 standard deviations of the mean.

Answer:

[tex]v = \frac{1}{3} \times h \times r {}^{2} \times \pi[/tex]

[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]

[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]

[tex]v = 256\pi \: cm {}^{3} [/tex]

Answer:

yes he is correct

Step-by-step explanation:

10000x0.05=500 so thats correct

he will pay 500 for 20 month= 10,000

Answer:

Step-by-step explanation:

at least.

Answer:

yep true

Step-by-step explanation:

facts u know what u talking bout

Answer:

ok

Step-by-step explanation:

Answer:

suppersize my fries...

Answer:

two and one eighth inches

Answer:

Hope my ans help you plz if u can mark me brainlist

Step-by-step explanation:

A = 43.3

The area of an equilateral triangle has a side length of 10 units is 43.3 square units.

An equilateral triangle is one with equally long sides on both sides. The three angles opposite the three equal sides are equal in size because the three sides are equal. As a result, with each angle measuring 60 degrees, it is sometimes referred to as an equiangular triangle.

Given the side of an equilateral triangle  = 10 units

the area is given by,

A = √3/4 × a²

where a is the length of the side,

A = √3/4 × 10²

A = 1.732 x 100/4

A = 43.3 square units.

Therefore, the area of a triangle is 43.3 square units.

Learn more about equilateral triangle;

https://brainly.com/question/3461022

#SPJ5

Step-by-step explanation:

tell me the math problem I will tell u the answer its blurry

Answer:

A) 216in squared

Step-by-step explanation:

6 / 2 = 3

4 * 3 = 12

12 * 2 = 24

5 * 12 = 60

60 * 2 = 120

6 * 12 = 72

24 + 72 + 120 = 216in^2

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer: The meal contains 68.57% of her daily allowance of fat

Step-by-step explanation:

We know that in the dinner, there is a total of 48g of fat.

We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:

70g = 100%

Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:

48g = X%

Then we have two equations:

48g = X%

70g = 100%

To solve this, we can take the quotient of these two equations to get:

(48g/70g) = (X%/100%)

Now we want to solve this for X%, then we need to isolate X%:

(48g/70g)*100% = X%

68.57% = X%

This means that 48 grams of fat are 68.57% of her daily allowance.

Answer:

The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?

b 28 and 62

Answer:

73373773737477374747373738

Answer:

The probability that exaclt x of the members are union members from the n interviewed is given by:

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

About 96% of all workers employed by the university belong to the workers' union.

This means that [tex]p = 0.96[/tex]

What is the probability that exactly of the workers interviewed are union members

We want probability of x, from n workers interviewed. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Answer:it is C

Step-by-step explanation:

Answer:

(3.5, 2)

Step-by-step explanation:

From the attachment, we have:

[tex]H = (1,1)[/tex]

[tex]J= (2,3)[/tex]

[tex]K=(6,3)[/tex]

[tex]L = (5,1)[/tex]

Required

Determine the point of intersection

To do this, we simply calculate the midpoints of the diagonals; which are:

HK and JL

Midpoint is calculated as:

[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]

For HK:

[tex]M = \frac{1}{2}(1+6,1+3)[/tex]

[tex]M = \frac{1}{2}(7,4)[/tex]

[tex]M = (3.5,2)[/tex]

For JL:

[tex]M = \frac{1}{2}(2+5,3+1)[/tex]

[tex]M = \frac{1}{2}(7,4)[/tex]

[tex]M = (3.5,2)[/tex]

For both diagonals, the coordinate of the midpoint is (3.5, 2).

Hence, the point of intersection is: (3.5, 2)

Answer: 120

Step-by-step explanation: 8 times 60 is 480 then converted to gallons do

480/4

Answer:

56 of the coins are dimes

Step-by-step explanation:

Dimes = D

Quarters = Q

D+Q=102

10D+25Q=1710

-10(D+Q=102)

-10D-10Q=-1020

+10D+25Q=1710

15Q-690

Q=46

D=102-46=56

CHECK 46(25)+56(10)=1150+560=1710 = YES

Answer:

Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.

Answer:

I do not know the answer to this question

Step-by-step explanation:

Answer:

x=a+ b x=a-b

Step-by-step explanation:

BRAINLIEST PLSSSSSSSS

USE SYMBOLAB IT WORKS AND MATHPAPA

Answer:

A. 0.0272

B. 0.0278

C. No

Step-by-step explanation:

a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.639

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.639 * (1 - 0.639)/1200)

Standard error(SE)= 0.0139

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0139

Margin of Error = 0.0272

Therefore the Margin of Error is 0.0272

b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.417

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.417 * (1 - 0.417)/1200)

Standard error(SE)= 0.0142

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0142

Margin of Error = 0.0278

Therefore the Margin of Error is 0.0278

c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.

Answer:

a. (3x² - 2x - 5) units²

b. (x² - x) units²

c. (2x² - x - 5) units²

Step-by-step explanation:

a. Area of the frame = L*W

L = (x + 1) units

W = (3x - 5) units

Area of the frame = (x + 1)(3x - 5)

Apply distributive property

x(3x - 5) +1(3x - 5)

3x² - 5x + 3x - 5

Area of the frame = (3x² - 2x - 5) units²

b. Area of the picture = L*W

L = x units

W = (x - 1) units

Area of the picture = x(x - 1)

Apply distributive property

= x² - x

Area of picture = (x² - x) units²

c. Area of the frame that surrounds the picture = area of frame - area of picture

= (3x² - 2x - 5) - (x² - x)

= 3x² - 2x - 5 - x² + x (distributive property)

Add like terms

= 3x² - x² - 2x + x - 5

= 2x² - x - 5

Area of the frame that surrounds the picture = (2x² - x - 5) units²

Answer:

false -- 2/3 is not a whole number

true -- a terminating decimal is like 0.35 which is 35/100

false

true

so, 2 out of 4.

Answer:

the third angle of the triangle is 62°

62 grad

Step-by-step explanation:

Answer:

I think it is the last one