Let
f
and
g
be defined by
f
:
x
→
3
x
−
1
)

a
n
d
\(
g
:
x
→
2
−
5
x
. Find
f
o
g
(
2
)

y=kx

20=k(12)

k= 20/12 = 5/3

y= (5/3)x

y = 5x/3  or

3y=5x

Answer:

According to the National Weather Service, if you see a 40 percent chance of rain, "there is a 40 percent chance that rain will occur at any given point in the area."

Step-by-step explanation:

The probability that the forecaster will predict the weather correctly in exactly two of the next three days is 0.48 or 48%.

For two events A and B, by chain rule, we have:

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

where P(A|B) is the probability of occurrence of A given that B already occurred.

A weather forecaster has a 60% chance of predicting the weather correctly today.

If she is correct, then the probability of being correct the next day is 80%.

If she is wrong, the chance of predicting incorrectly the next day is increased by 25% that she was wrong the previous day.

Let the chance of predicting the weather correctly today be A.

Let the chance of predicting the weather correctly the next day be B.

Then the probability that the forecaster will predict the weather correctly in exactly two of the next three days will be

[tex]P(A \cap B) = P(A)P(B|A) = 0.6 \times 0.8 = 0.48[/tex]

More about the chain rule of probability link is given below.

brainly.com/question/1210781

Answer:

The answer is the following:

r≈5.64in

Answer:

5.641

Step-by-step explanation:

If you think about it, the formula for getting the area of a circle is:

[tex]a = \pi r^2[/tex]

So to rearrange and make r the subject, divide both sides of the equation by pi:

[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]\frac{a}{\pi} = r^2[/tex]

Now square root both sides to find r:

[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]

Plug the known area value in:

[tex]\sqrt{\frac{100}{\pi} } = r[/tex]

= 5.641

Hope this helps!

Answer:

1 hour

Step-by-step explanation:

because i divided

Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

Answer:

He should change 3.6 to 36

and

he should change 8.42 to 84.2

He should also move the decimal up when dividing like in the picture I posted.

Step-by-step explanation:

I other words, he should shift the decimal points to the right one

I hope that I could help!

He should also move the decimal up when dividing in the picture that is posted.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

We need to find 8.42 divided by 3.6 longhand.

8.42 / 3.6

= 2.33

He should change 3.6 to 36 and he should change 8.42 to 84.2

He should also move the decimal up when dividing in the picture that is posted.

Learn more about division here:

https://brainly.com/question/26411682

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Answer:

12/2 = 6

Step-by-step explanation:

2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1

answer:

Step-by-step explanation:

I hope she is correct answer

25% increase.

Explanation: 25% of $40 is $10. You add $10 to $40 you get $50.

Answer:

134.12

Step-by-step explanation:

Subtraction.

Tell me if you want a step by step.

Hope this helped. :)

Ben forgot that finding the area is not using the diameter, but using the radius. The radius is 1/2 of the diameter, so r=4.5. Then you would use the formula [tex]\pi*r^{2}[/tex], which would be 3.14x4.5x4.5, which is 63.585 cm squared.

Answer:

x=25

Step-by-step explanation:

5x-5+  2x+10 =180

2x-5x = 10+5

3x= 15

x=5

5(5)-5+ 2(5) +10 =180

Rational expressions are expressions that can be represented as a quotient

The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

The expression is given as:

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]

Expand the numerator as follows

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]

Multiply the factors on the numerator

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]

Collect and evaluate like terms

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]

Remove the brackets

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]

This means that:

[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent

Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

Read more about rational expressions at:

https://brainly.com/question/25292194

Answer:

2.7

Step-by-step explanation:

1200x 30/100×25/100×3/100=2.7

Step-by-step explanation:

2×10,000 + 8×1000 + 5×100+6×10+1

Answer:

p = 6/11

Step-by-step explanation:

11/6 = 1/p

=> 11p = 6

=> p = 6/11

Hoped this helped.

Answer: C. x = 4 and x = 6

Step-by-step explanation:

Zeros of a function would be the value of x when f(x) is 0.

Based on the given graph, the parabola has 2 locations where the y-value is 0 and the graph hits the x-axis.

The graph hits the x-axis at 4 and at 6.

Answer:

I dont but want to.

Hope this helps! :) ;-;

Step-by-step explanation:

Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{k}}[/tex] probability that “Relaxation Through Mathematics” is first to review.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

The probability is:

[tex]p = \frac{D}{T} = \frac{1}{k}[/tex]

A similar problem is given at https://brainly.com/question/24483829

Answer:

  3/4 hour

Step-by-step explanation:

The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.

The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.

Andrea should plan on walking back for 3/4 hour.

Answer:

81:36

Step-by-step explanation:

117-36

= 81

Boom answer that's it

The ratio of empty spaces to filled spaces is 9 : 4.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

A parking lot has total = 117 spaces

Spaces filled with cars = 36

spaces left = total spaces - space filled with cars

spaces left = 117 - 36

spaces left = 81

Now, the ratio of empty spaces to filled spaces will be :

81 : 36

cancelling common factor that is 9 :

9 : 4

Therefore, the ratio of empty spaces to filled spaces is 9 : 4.

Read more about ratio at:

https://brainly.com/question/17869111

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Answer:

Galaxies are moving closer together as time progresses

Step-by-step explanation:

Let me know if this helps!

Answer:

1)24

2)15

3)5

4)48

Step-by-step explanation:

Answer:

I'm answering 1 and 2, okay?

Step-by-step explanation:

Q1: 24,36,12

Q2: 12, D

Question 1 works because the LCM of 6 and 4 is 12, so any multiple of twelve will also work. So from the answer choices, 12 24 and 36 all are multiples of 12.

Question 2 is D because it says 1 3/5 = 1 ?/20. We know that 5*4=20. And what we do to the denominator we do to the numerator, which is 3. So we multiply 3 by 4 to get 12.

And for the rest of the questions, GOOD LUCK AND TAKE CARE (Using my methods, you can solve them anyways.)

Answer:

So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.

Step-by-step explanation:

The required probability is 0.981 that at least one of them is careful about personal information.

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.

Four randomly selected Internet​ users, at least one is more careful about their personal information.

As per the given question,

Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0

As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)

P(X = 0) = 4C0 × 0.63^0 × 0.37^4

P(X = 0) = 0.0187

P(X ≥ 1) = 1 - 0.0187

Apply the subtraction operation, and we get

P(X ≥ 1) = 0.981

Thus, the required probability is 0.981 that at least one of them is careful about personal information.

Learn more about the binomial theorem here:

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The value of sin(23°) is equivalent to 0.39.

There are six major trigonometric functions as -

We can write the relation between them as -

Given is to find the value of sin 23°.

Now, we can write the value of sin(23°) as -

sin(23°) = sin(30° - 7°)

Expanding using the compound angle formula, we can write -

sin (x - y) = sin(x) cos(y) - cos(x) sin(y)

sin(30° - 7°) = sin(30°) cos(7°) - cos(30°) sin (7°)

sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121

sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121

sin(30° - 7°) = 0.495 - 0.105

sin(30° - 7°) = 0.495 - 0.105

sin(30° - 7°) = 0.39

Therefore, the value of sin(23°) is equivalent to 0.39.

To solve more questions on trigonometric functions, visit the link below-

https://brainly.com/question/30672622

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The International Financial Reporting Standards developed standards can

be implemented to ascertain the provisions and disclosures to be made.

The correct responses are;

According to the financial reporting standard, the contingent liability that

Amazon Inc. should disclose and the provision that Amazon Inc. should

recognize, based on the legal consent are;

Lawsuit 1: It is not required to make provision or disclosure because the

probability of the lawsuit progressing is remote and therefore, the

Company will not be required to payout money or lose economic benefits.

Lawsuit 2: The likelihood of the Company having pay the displaced

employees is high however, the amount payable is $2 million, and

therefore, a provision of $2 million is required in the financial reporting.

Lawsuit 3: The Company is not legally obliged to pay for or perform the

cleanup, but based on the relationship between the Company's waste

location, the river, and the community, there is a constructive obligation,

the amount of which cannot be determined with reliability.

Therefore, there is a requirement for disclosure as a contingent liability,

and not a provision as the claim cannot be classified as a provision.

Learn more here:

https://brainly.com/question/17371330

Answer:

False

Step-by-step explanation:

The sides are not equal.

Answer:

$72.75

Step-by-step explanation:

15% of $85 is $12.75

$85 - $12.75 = $72.25

Answer:

[tex]y=8x-25[/tex]

Step-by-step explanation:

The first thing to do is to find the slope. The slope is the difference in Y divided by the difference in x, or:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here (3, -1) is going to be (x1, y1) and (4, 7) will be (x2, y2):

[tex]m=\frac{7--1}{4-3}=\frac{8}{1}=8[/tex]

The slope is 8. Now, you can plug that into the formula. To find the y-intercept, plug in any point on the line and solve for b:

[tex]y=mx+b\\-1=8(3)+b\\-1=24+b\\b=-25[/tex]

Now we have both the slope and the y-intercept so you can write the equation for the line:

[tex]y=8x-25[/tex]

You can test that either by checking y for some value of x, or by graphing.