Find the are of the shape shown below

Answer: (assuming the first three terms are -6, -2, 2)

(a) f(n) = 4n - 10

(b) 30

Step-by-step explanation:

(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)

(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:

2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4

Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:

-6 - 4 = -10.

At this point, you can write the equation:

f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)

f(n) = 4n - 10 (reorganize by value of exponents)

(b) In order to find the 10th term, you just need to plug it into the previous equation:

where n = 10, and f(n) = 4n - 10,

f(n) = 4(10) - 10 (substitute n into the equation)

f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)

f(n) = 30 (subtract)

Answer:

a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding

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.

A. What is the probability that the meteorologist predicts that it rains on a given summer day?

80% of 25/92(prediction of rain, and rained).

20% of 67/92(prediction of rain, did not rain). So

[tex]P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630[/tex]

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?

Conditional Probability, in which:

Event A: prediction of rain

Event B: rain

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that [tex]P(A) = 0.3630[/tex]

Rain and prediction of rain:

80% of 25/92. So

[tex]P(A \cap B) = \frac{0.8*25}{92} = 0.2174[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989[/tex]

0.5989 = 59.89% probability that it actually rains on the day of the wedding

Answer:

the answer to this is 25

Answer: 25

To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.

Hope this helped you!

Answer:

18 feet

Step-by-step explanation:

(1*4)/2 = 2 (area of right triangle)

4*4=16 (area of square)

2+16=18

Answer:

The temperature went up by 29 degrees.

Step-by-step explanation:

Since -24 is negative,

Add 5 to 24 = 29.

Answer: Amira added 5 candy bars to the p pile of candy bars there were no more than 18 candy bars in the pile.

Step-by-step explanation: hope this helps

Answer:

20:16

Step-by-step explanation:

Subtract the number of sharpened pencils you have from the total number and you have your ratio.

Answer:

870.4 maybe???

Step-by-step explanation:

Answer:

16cm=200.96

12cm=113.04

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

a - 50/100

b - 9/4

c - 27/8

Step-by-step explanation:

Scale: 50/100

Ratio: 36/16 = 18/8 = 9/4

Ratio: 216/64 = 108/32 = 54/16 = 27/8

9514 1404 393

Answer:

  a) left curve: f(x); right curve: g(x)

  b) the functions are inverses of each other

Step-by-step explanation:

(a) An exponential function with a base greater than 1 has increasing slope. A log function has decreasing slope. The exponential function is on the left.

__

(b) The base of the exponential is the same as the base of the logarithm, so these functions are inverses of each other. This can be seen in the fact that each is a reflection of the other in the line y=x.

Answer:

You seem to have not posted the whole problem

You did not seem to say the problem

But mabye 30

Answer:

6x^2+7x−3

Step-by-step explanation:

(2x+3)(3x−1)

Apply the distributive property by multiplying each term of 2x+3 by each term of 3x−1.

6x^2−2x+9x−3

Combine −2x and 9x to get 7x.

6x^2+7x−3

Graph if needed:

Answer:

24/9

Step-by-step explanation:

one face is 4/9 is that's what 2/3² is

then multiply that by the number of faces a cube has (6)

and you get 24/9

Answer:

Step-by-step explanation:

2 opposite semicircle are same

diameter = 9m

radius = 4.5m --- (diameter = 1/2radius)

area of semicircle = 1/2 × π × radius²

= 1/2 × 3.14 × 4.5×4.5

= 31.79m²

2 semicircles area = 31.79 × 2

= 63.8m²

______________________________

______________________________

other 2 opposite semicircle are same

diameter = 20m

radius = 10m --- (diameter = 1/2radius)

area of semicircle = 1/2 × π × radius²

= 1/2 × 3.14 × 10×10

= 157m²

2 semicircles area = 157 × 2

= 314m²

______________________________

______________________________

length = 20m ----- ( given )

breadth = 9m ----- ( given )

area = length × breadth

= 20 × 9

= 180m²

______________________________

______________________________

AREA of whole figure = 63.8 + 314 + 180

= 557.8m²

Answer:

18.33

Step-by-step explanation:

Answer:

11.2 cm

Step-by-step explanation:

The missing side = the hypotenuse

Apply pythagorean theorem to find he hypotenuse which is given as:

c² = a² + b³

a = 10 cm

b = 5 cm

c = Hypotenuse (missing side)

(Hypotenuse)² = 10² + 5² = 125

Hypotenuse = √125

Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)

Answer:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

Answer:

a. Fred's margin of error is larger than Ted's.

Step-by-step explanation:

Margin of error of a confidence interval:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(the higher the confidence level the larger the value of z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

From this, we have that:

A higher confidence level leads to a larger margin of error.

A larger sample size leads to a smaller margin of error.

In this question:

Same confidence level.

Fred's sample is smaller, so his margin of error will be larger.

The correct answer is given by option a.

For the same confidence level, Fred's sample is smaller, so hir margin of error will be larger. The correct option is A.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

Fred and Ted are interested in the average height of NC State students.

They randomly sample students from NC State and construct confidence intervals from their data.

Fred sampled 121 students to construct his confidence interval.

Ted sampled 144 students to construct his confidence interval.

The margin of error of a confidence interval

[tex]\rm M =z \dfrac{\sigma }{\sqrt{n}}[/tex]

Where z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation level and n is a sample size.

By the formula, we have

A higher confidence level leads to a larger margin of error.

A larger sample size leads to a small margin of error.

For the same confidence level, Fred's sample is smaller, so hir margin of error will be larger. The correct option is A.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Step-by-step explanation:

subtract the whole equation by 85 on both sides to get v by itself on the left side

85-85-v=213-85

-v=128

Now we divide the whole equation by negative 1

-1v/-1=128/-1

v=-128

Hope that helps :)

Answer:

6

Step-by-step explanation:

The slope (m) can be found using the formula ...

 m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

 m = (2 -(-10))/(17 -15) = 12/2

 m = 6

The slope of the line is 6.

Answer: 21

Step-by-step explanation:

First, divide 14 by 2 which is 7. Then multiply 7 by 3 because it's 2/3 so that is 21. The answer is 21

Answer:

$6.50/gallon

Step-by-step explanation:

22.75 / 3.5 = $6.50/gallon

Answer:

5.61

Step-by-step explanation:

66/22 = 3

3×1.87 = 5.61

Answer:$82,500

Step-by-step explanation:

Answer:

n(M) = 4

Step-by-step explanation:

M = (2,4,6,8)

n(M) = Number of values in set M.

n(M) = 4

Answer:

17 degrees

Step-by-step explanation:

-23 + 6 = 17

Answer:

0.645

Step-by-step explanation:

since a percent is out of 100, it could also be written a 64.5/100,

then converting a fraction into a decimal is jus dividing the two equaling to 0.645