Find the third, fifth, and eleventh terms of the sequence described by the rule.
A(n) = - 6+ (n - 1)(6)
A(3)= ?

Answer:

B. 95%

Step-by-step explanation:

The mean is in the middle and standard deviation is 12. So subtract 12 from 98 until you get to 74. That's two times. And two times/spaces to the left and right is 95% of the data.

The confidence interval is 95.45% of the data in the data set with a normal distribution

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval

Confidence Interval CI = x + z ( s/√n )

where x = mean

z = confidence level value

s = standard deviation

n = sample size

Given data ,

To find out what percent of the data lie between 74 and 122 in a normal distribution with a mean of 98 and a standard deviation of 12, we can use the empirical rule, also known as the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean

Approximately 95% of the data falls within two standard deviations of the mean

Approximately 99.7% of the data falls within three standard deviations of the mean

Based on this rule, we can estimate the percentage of data that lies between 74 and 122 as follows:

Calculate the z-scores for 74 and 122 using the formula: z = (X - mean) / standard deviation

For 74: z = (74 - 98) / 12 = -2

For 122: z = (122 - 98) / 12 = 2

Find the area under the normal curve between these two z-scores using a standard normal distribution table or a statistical calculator.

The area between z = -2 and z = 2 represents the percentage of data that lies between 74 and 122.

Using a standard normal distribution table, we can find that the area between z = -2 and z = 2 is approximately 0.9545 or 95.45%.

Hence , about 95.45% of the data in the data set with a normal distribution would be expected to lie between 74 and 122.

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2²-4²+1+7²

we should solve the numbers with exponents :

4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38

pls give me brainliest

Y=2+-4x

Step-by-step explanation:

Hope ot helps

Answer:

7.)

a. y = -3x+3

b. y = 3x + 4

c. y = x + 3 (not sure about this one)

8.)

x = 63

y = 6

6.)

left an attachment (not sure about the growth triangle though)

5.)

Red Line - slope = -2

                 y-in = 1

Blue Line - slope = (1/2) or 0.5

                  y-in = 3

Green Line - slope = (-2/3) or 0.667

                    y-in = -4

Step-by-step explanation:

Sorry it took me so long

Answer:

(5,30)

Step-by-step explanation:

That is the constant change in the y's as the x's increase by 1?

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.

(5,30)

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]

where n is positive integer and n[tex]\neq[/tex] 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴

It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.

c.)

G(x) = 2[tex]x^{-3}[/tex] + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

The standard form of a polynomial is expressed as;

[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]

The leading power of a polynomial must be greater than 2 and must be a positive integer.

a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

b) For the function [tex]G(x)=2x^{-3}+5[/tex]

This is not a polynomial because the leading degree of the polynomial is a negative integer

c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]

This is not a polynomial because the leading degree of the polynomial is a fraction.

d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

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Answer:

5 quarters and 2 dimes

Step-by-step explanation:

5 quarters make 1.25 + 10 cents = 1.45

Answer: she had five quarters and 2 dimes

Step-by-step explanation:

Answer:

Pilot error = 347 / 1487 = 0.233 = 23.3%

Other human error = 83 / 1514 = 0.055 = 5.6%

Weather = 596 / 1487 = 0.401 = 40.1%

Mechanical problem = 374 / 1487 = 0.233 = 23.3%

Sabotage = 114 / 1487 = 0.077 = 7.7%

Step-by-step explanation:

Given the data :

Pilot error = 347

Other human error = 83

Weather = 596

Mechanical problem = 374

Sabotage = 114

Cummlative sum = (347 + 83 + 596 + 374 + 114) = 1487

Relative frequency :

Pilot error = 347 / 1487 = 0.233 = 23.3%

Other human error = 83 / 1514 = 0.055 = 5.6%

Weather = 596 / 1487 = 0.401 = 40.1%

Mechanical problem = 374 / 1487 = 0.233 = 23.3%

Sabotage = 114 / 1487 = 0.077 = 7.7%

Based on the relative frequency estimate, Weather is the most serious threat to aviation safety.

Deployment of more weather monitoring technologies

By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.

In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:

90² = 55² + 50² - 2 · 55 · 50 · cos X      (1)

X ≈ 117.916°

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Step-by-step explanation:

she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three

Answer:

48

Step-by-step explanation:

If EG=8, OE=4

x/12=4

x=4(12)

x=48

Answer:

6x + 3h

Step-by-step explanation:

F(X) = 3x^2

F(X+h) = 3(X+h)^2

then F(X+h) - F(X) / h

= 3(X+h)^2 - 3x^2 / h

= 3(x^2 + 2hx + h^2) - 3x^2 / h

= 3x^2 + 6hx +3h^2 - 3x^2 / h

= 6hx + 3h^2 / h

= h (6x +3h) / h

= 6x + 3h

I hope this answer is correct

Answer:

The clock will be 50 minutes fast

Step-by-step explanation:

Proportions

It's known a clock gains time at a steady state, or constant rate.

At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.

From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes

Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.

When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.

Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.

The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.

The clock will be 50 minutes fast

Step-by-step explanation:

cos theta=3/5

theta=53.13°

tan theta =1.33

Answer

didn't know there was an image

Answer:

"C" is the answer to that question

Answer:

C

Explanation:

Because I say so

Answer:

15pi cm or 47.12

Step-by-step explanation:

Radius= 7.5cm

7.5 x 2 = 15

diameter= 15cm

circumference = pi x diameter

circumference= pi x 15

=15pi cm or 47.12

Answer:

that will be 725.10 im not sure

Answer:

The answer is 770.9 and cant be rounded to the nearest tenth.

Answer:

They should interview 1620 adults now.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

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

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

In this question:

z wont change, neither will [tex]\sigma[/tex]

We want to increase n as such the margin of error is reduced to one third.

We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So

180*9 = 1620

They should interview 1620 adults now.

Answer:

9.5

Step-by-step explanation:

When rounding to the nearest tenth, check to see what the hundredths place value is.

If it is 0.05 or greater, we will round the tenths place up one.

If not, the tenths place will remain the same.

Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.

So, the correct answer is 9.5

Answer:

c

Step-by-step explanation:

Answer:

12n

Step-by-step explanation:

Answer:

C. 18x+9y

Step-by-step explanation:

Answer:

I think its the third one, C. Hope this helps!

Answer: 16.1

Step-by-step explanation:

Answer:

[tex]\frac{112}{3}[/tex]

Step-by-step explanation:

14 ÷ 3/8 = 14 • 8/3

= 112/3

Answer:

37 1/3

Step-by-step explanation:

use Keep Change Flip when dividing with fractions! :) It's helpful

for example: 14 ÷ 3/8

14 (keep as 14)

* (change to multiplication)

8/3 (flip the fraction)

14 times 8/3= 37 1/3

Answer: 2

Step-by-step explanation:

The leading coefficient is just the value before the variable with the highest power. So first we must find the portion in your polynomial that has the highest degree. The highest degree simply means the variable with the highest power. The highest power is two, so we will look at the coefficient of that portion. The coefficient of 2x^2 is 2 .