X is a normally distributed random variable with mean 67 and standard deviation 17. What is the probability that X is between 50 and 84?

Answer:

35 is 40% of 87.5

Step-by-step explanation:

[tex]\frac{40}{100}=\frac{35}{x}[/tex]

Cross multiply

[tex]40x=3500[/tex]

Divide both sides by 40

[tex]x=87.5[/tex]

Hope this helps

Answer:

x < 22

Step-by-step explanation:

12x < 264

Divide each side by 12

12x/12 < 264/12

x < 22

Given that,

12x < 264

Not we can divide each side by 12,

→ 12x/12 < 264/12

→ x < 22

So, option (B) is correct answer.

Step-by-step explanation:

the answer is in the above image

Given:

The slope of the line is -3.

The line passes through the point (2,-2).

To find:

The point-slope form of the line.

Solution:

Point slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the point-slope form of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:

[tex]y-(-2)=-3(x-2)[/tex]

[tex]y+2=-3(x-2)[/tex]

Therefore, the required point slope form of the given line is [tex]y+2=-3(x-2)[/tex].

Answer:

it gotta be d cause i went with my instinct.

Step-by-step explanation:

solve write it out.

Answer:

Change the value from negative to positive

Or

Change the value from positive to positive

Step-by-step explanation:

It is very simple

Any number's absolute value should be positive

Let's say absolute value of 3 - >answer is 3

But absolute value of - 3 - > is also 3

Hope you understood it.

Answer:

In math students think that the function just removes negative signs, and actually that is basically what happens...

BUT !!! the definition that you want is that absolute value is a measure of how far (distance) you are from ZERO.... and note that distances are not negative...

If you run out of gas one mile in front of behind a gas station, you have to travel "one mile" you don't walk "negative one mile"...

forward one mile or backward one mile are both "one mile" just in different directions

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 52:39

Divide both sides by 13:

= 4:3.

2.  4/16 : 23

= 1/4 : 23

= 1 :92.

3. 8:56

= 1:7.

4. ?

5. 40 cm 5 m

= 40 : 500

= 4:50

= 2:25.

Answer:

Diverges

Step-by-step explanation:

It will diverge due to my calculations

Answer:

22 ft²

Step-by-step explanation:

SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)

SA = 20 + 2 = 22

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

[tex]L = 3.975[/tex]

Step-by-step explanation:

Given

See comment for data

Required

The lower limit 94% confidence interval

First, calculate the mean

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{0.9+10+0.9+8.7+4.8+2.6+1+13.3+9.5+8.9+8.9+4.6}{12}[/tex]

[tex]\bar x =\frac{74.1}{12}[/tex]

[tex]\bar x =6.175[/tex]

Next, calculate the standard deviation using:

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(0.9 - 6.175)^2 +(10- 6.175)^2 +.................+(8.9- 6.175)^2 +(4.6- 6.175)^2}{12}}[/tex]

[tex]\sigma = \sqrt{\frac{197.2625}{12}}[/tex]

[tex]\sigma = \sqrt{16.4385416667}[/tex]

[tex]\sigma = 4.054[/tex]

For 94% interval, the z score is

[tex]z = 1.88[/tex]

So, the margin of error (E) is:

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

[tex]E = 1.88 * \frac{4.054}{\sqrt {12}}[/tex]

[tex]E = 1.88 * \frac{4.054}{3.464}[/tex]

[tex]E = 2.200[/tex]

The confidence interval of the true mean is:

[tex]CI = (\bar x \± E)[/tex]

The lower limit (L) is:

[tex]L = \bar x -E[/tex]

[tex]L = 6.175 -2.200[/tex]

[tex]L = 3.975[/tex]

and the upper limit (U) is

[tex]U = \bar x + E[/tex]

[tex]U = 6.175 + 2.200[/tex]

[tex]U = 8.375[/tex]

The lower limit is 3.975 and the upper limit is 8.375. Then the confidence interval for the true mean is (3.975, 8.375).

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the site for 10 minutes.

To test this claim Company B collects the times (in minutes) below for a sample of 12 users.

Assume normality. Assignment 6q3 data Construct a 94% confidence interval for the true mean time spent on the website.

z-value for 94% of confidence level is 1.88.

z = 1.88

The mean will be

[tex]\mu = \dfrac{\Sigma x}{n}\\\\\mu = \dfrac{0.9+10+0.9+8.7+8.4+2.6+1+13.3+9.5+8.9+8.9+4.6}{12}\\\\\mu = \dfrac{74.1}{12}\\\\\mu = 6.175[/tex]

Then the stabndard devistion will be

[tex]\sigma = \sqrt{ \dfrac{\Sigma (x - \mu )^2}{n}}\\\\\sigma = \sqrt{ \dfrac{\Sigma (0.9-6.175 )^2+(10-6.175 )^2+...+(4.6-6.175 )^2}{12}}\\\\\sigma = \sqrt{ \dfrac{197.2625}{12}}\\\\\sigma = \sqrt{16.438}\\\\\sigma = 4.054[/tex]

The margin of error (E) will be

[tex]E = z*\dfrac{\sigma}{\sqrt{n}}\\\\E = 1.88*\dfrac{4.054}{\sqrt{12}}\\\\E = 2.200[/tex]

Then the confidence interval of the true mean will be

[tex]CI = (\mu \pm E)[/tex]

The lower limit (L) will be

[tex]L = \mu - E \\\\L = 6.175 - 2.200\\\\L = 3.975[/tex]

The upper limit (U) will be

[tex]U = \mu + E \\\\U = 6.175 + 2.200\\\\U = 8.375[/tex]

More about the margin of error link is given below.

https://brainly.com/question/6979326

Answer:

a. The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.

b. The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.

c. The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.

d. The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.

e. The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.  

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.  

First 2000, so convenience.

The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.

Every kth element, k = 1500, so systematic.

The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.

Randomly selects 2000 people, so random sampling.

The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.

Divides the population into groups(by state), and a few members of each group are surveyed, so stratified.

The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.

Each element of the cluster is surveyed, so cluster sampling.

Answer:

one

[tex] \frac{1}{2} (x + 12) = 4x - 1 \\ x + 12 = 8x - 2 \\ 7x = 14 \\ x = 2[/tex]

Answer:

its 9 plus 9 and equals 19.0

Answer:

i believe it is D side angle side

Step-by-step explanation:

After 17 years, Serenity has $778 more than Avery

The formula for calculating the compound amount is expressed according to the formula;

[tex]A=P(1+\frac{r}{n} )^{nt}\\[/tex]

For Avery;

P = $3,800

rate = 5 1/2 % = 0.055

time = 17 years

n = 12 (monthly compounding)

Substitute into the formula to have:

[tex]A=3800(1+\frac{0.055}{12} )^{12(17)}\\A=3800(1+0.00458)^{204}\\A=3800(1.00458)^{204}\\A=3800(2.5401)\\A = \$9,652.22[/tex]

Hence the amount that will be in Avery's account after 17years is $9,652

For Serenity;

P = $3,800

rate = 6 1/8 % = 0.06125

time = 17 years

n = 1 (continuous compounding)

Substitute into the formula to have:

[tex]A=3800(1+\frac{0.06125}{1} )^{1(17)}\\A=3800(1+0.06125)^{17}\\A=3800(1.06125)^{17}\\A=3800(2.7473)\\A = \$10,439.62[/tex]

Hence the amount that will be in Serenity's account after 17years is $10,430.

Amount Serenity have more than Avery = $10,430 - $9652 = $778

Learn more on compound amount here: https://brainly.com/question/18442810

-3

Step-by-step explanation:

it is -3 because the line touches -3 on the y-intercept

Answer:

1x1=1

9x6 =54

18×6=108

54×6=324

10x2=​20

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Hi there!

There are 6 sections that are odd-numbered and there are 8 sections in total. Therefore, the probability that the pointer will land on an odd-numbered section is 6/8, or 3/4 when simplified.

I hope this helps!

Answer:

The absolute deviation at 19 is 3.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

|19-16|=3

subtract mean from expected value

Answer:

ADMC

Step-by-step explanation:

The secant of a circle is a line that cuts the cuts two points of the circumference with one end point external to the circle;

Fro the given diagram, the two lines that cuts the circumference of the circle at two points are AEB and ADMC

Hence the one that contains diameter with point M is line ADMC

Answer:

View the graph for a visual

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]

f'(x)=0, gives x=-2

we find f(x) at x=-3,-2,1

f(-3)=-3e^(-3/2)≈-0.67

f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74

f(1)=1 e^(1/2)=√e≈1.65

Answer:

10

Step-by-step explanation:

Answer: The median is 10

Step-by-step explanation:

Answer: 4374

Step-by-step explanation:

Answer:

x should be 9.

Step-by-step explanation:

y was multiplied by 3 (7 x 3 = 21), so multiply the value of x by 3 as well to get 9.

Answer:

different

Step-by-step explanation: very different

Answer:

Step-by-step explanation:

y = A sin(B(x + C)) + D

amplitude is A = (5 - -1)/2 = 3

period is 2π/B = 4 ==> B = .5π

phase shift is C (positive is to the left) = 0

vertical shift is D = 2

-------------------------

y = 3sin(.5πx) + 2

Answer:

Step-by-step explanation:

In the image you can see the amplitude is 6/2=3

also you can see that the curve is shifted upwards 2 units

regarding to the frequency of the function, we can notice the it has a period of 4

[tex]w=\frac{2\pi}{\Gamma}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex]

finally, the equation will be:

[tex]f(x)=2+3sin(\frac{\pi}{2}x)[/tex]

See the full equation on the attached image