Assume that math SAT scores are normally distributed with a mean of 500 and a standard deviation of 100. If you scored 560, what percentage of those taking the test scored below you?

Answer:

18

Step-by-step explanation:

Keep in mind that anything with a subscript of 0 always comes out as a 1

16(1)+2(2)²(4⁻¹)

= 16+8(4⁻¹)

=16 + 8(1/4)

=16+2

=18

Hope this helps! :)

Answer:

D

Step-by-step explanation:

Slope-intercept form is [ y = mx + b ] where m = slope and b = y-intercept. We are already given the slope and y-intercept so m = 2 and b = -4.

y = 2x - 4

Best of Luck!

Answer:

y = 2x - 4

Step-by-step explanation:

Answer:

A)y=9x+5

Step-by-step explanation:

If x=-1, y=-4,

  y=9*-1+5=(-9)+5=-4

If x=0, y=5,

  y=9*0+5=5

9514 1404 393

Answer:

  2400 m

Step-by-step explanation:

Distance is the product of speed and time:

  d = (20 m/s)(120 s) = 2400 m

The person ran 2400 meters in 120 seconds.

Answer:

Step-by-step explanation:

Marty's earnings = 8.50 x 19.5 = 165.75

Answer:

450 miles per hour

Step-by-step explanation:

Kelly flies at a distance of 2,100 miles

The time taken for the trip is 4 2/3 hours

Therefore the rate of speed can be calculated as follows

= 2,100 ÷ 4 2/3

= 2,100 ÷ 14/3

= 2100 × 3/14

= 150 × 3

= 450 miles per hour

Answer:

450

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

100% true

Answer:

It is D

Step-by-step explanation:

Answer:

Option B. 3 years.

Step-by-step explanation:

Sylvio loaned a friend $1,500 at a simple annual interest rate of 5%.

Formula of simple interest = I = P(rt)

I = Interest ($225)

P = Principal amount ( $1,500)

r = 5% = 0.05

t = time ( ? )

Now put the values to find the years.

225 = 1500( 0.05t)

225 = 75t

75t = 225

t =  

t = 3

It will take 3 years to repay him if Sylvio earned $225 in interest.

Answer:

a. The probability that the finished product selected is defective is 2.45%.

b. The probability that product chosen randomly was defective and made by machine B3 is 20.41%.

Step-by-step explanation:

Let A represents the defective product.

We also have the following from the question:

P(B1) = Probability or percentage of the made by machine B1 = 30%, or 0.30

P(B2) = Probability or percentage of the made by machine B2 = 45%, or 0,45

P(B3) = Probability or percentage of the made by machine B3 = 25%, or 0.25

P(A/B1) = Probability or percentage of product B1 that is defective = 2%, or 0.02

P(A/B2) = Probability or percentage of product B2 that is defective = 3%, or 0.03

P(A/B3) = Probability or percentage of product B3 that is defective = 2%, or 0.02

We can therefore proceed as follows:

A. Suppose that a finished product is randomly selected. What is the probability that it is defective?

To determine this, the rules of elimination is applied and we have:

P(A) = (P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3)) ………… (1)

Where;

P(A) = Probability that the selected product is defective = ?

Substitutes the values defined above into equation (1), we have:

P(A) = (0.30 * 0.02) + (0.45 * 0.03) + (0.25 * 0.02)

P(A) = 0.006 + 0.0135 + 0.005

P(A) = 0.0245, or 2.45%

Therefore, the probability that the finished product selected is defective is 2.45%.

B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.

To calculate this, the Bayes’ rule is employed as follows:

P(B3/A) = (P(B3) * P(A/B3)) / [(P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3))] = (P(B3) * P(A/B3)) / P(A)  ………….... (2)

Where;

P(B3/A) = The probability that product chosen randomly was defective and made by machine B3 = ?

Also, from the values already defined and obtained in part A, we have:

P(B3) = 0.25

P(A/B3) = 0.002

P(A) = 0.0245

Substituting the values into equation (2), we have:

P(B3/A) = (0.25 * 0.02) / 0.0245

P(B3/A) = 0.005 / 0.0245

P(B3/A) = 0.2041, or 20.41%

Therefore, the probability that product chosen randomly was defective and made by machine B3 is 20.41%.

Answer:

D. (142886, 196914).

Step-by-step explanation:

To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.

The formula for Confidence Interval =

C.I = Mean ± t score × standard deviation/√n

n = 5 samples

Degrees of freedom = n - 1 = 5 - 1 = 4

The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776

Hence,

Confidence Interval =

169,900 ± 2.776 × 21,756/√5

169,900 ± 2.776 × 9.7295789837

169, 900 ± 27009.311259

Confidence Interval

169,900 - 27009

= 142886

169, 900 + 27009.311259

= 196914

Hence, the confidence interval = (142886, 196914)

Option D is the correct answer

Using the t-distribution, it is found that the 95% confidence interval for the average price of a home of this size in Newberry is of (142886, 196914), given by option D.

In this problem, we have the standard deviation for the sample, thus, the t-distribution is used to solve this question.

First, we find the number of degrees of freedom, which is the sample size subtracted by 1, so df = 5 - 1 = 4.

Then, we find the critical value for the 95% confidence interval with 4 df, which looking at the t-table or using a calculator is given by t = 2.7765.

The margin of error is:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

In this case:

[tex]M = 2.7765\frac{21756}{\sqrt{5}} = 27014[/tex]

The confidence interval is:

[tex]\overline{x} \pm M[/tex]

Then

[tex]\overline{x} - M = 169900 - 27014 = 142,886[/tex].

[tex]\overline{x} + M = 169900 + 27014 = 196,914[/tex].

Thus, the correct option is D. (142886, 196914).

A similar problem is given at https://brainly.com/question/15180581

Answer:

3[tex]\sqrt[9]{Z}[/tex]²

Step-by-step explanation:

Expression -

(27[tex]\sqrt[3]{Z}[/tex]²) ^1/3

Transform the expression -

³[tex]\sqrt[3]{27}[/tex][tex]\sqrt[3]{Z}[/tex]²

Simplify - //Note: ignore the ' * '//

3[tex]\sqrt[3]{*}[/tex][tex]\sqrt[3]{z}[/tex]²

Simplify (Again) -

3[tex]\sqrt[9]{Z}[/tex]²

Answer:

it should be 4.5

Step-by-step explanation:

The slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line passes through points (8, 7) and (4, 5). The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 5 - 7 ) / ( 4 - 8 )

Slope = -2 / -4

Slope = 1 / 2

Calculate the y-intercept,

y = mx + c

5 = 1 / 2 x 4 + c

c = 5 - 2 = 3

The equation is written as,

y = mx + c

y = 1/2x + 3

Therefore, the slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ3

Answer:

On May 21, 1541, the Spaniards saw for the first time the Mississippi River, the “Father of the Water” south of Memphis, Tennessee. They crossed the river and made their way through Arkansas and Louisiana. Then, early in 1542, de Soto turned back to the Mississippi River

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

100 - 121 + 16

Power of 2 just means to multiply the number by iteself. So 10×10, 11×11, 4×4.

January 19 would fall on a Tuesday

Answer:

Can I have a picture so I can give you one

Step-by-step explanation:

thank you

Answer:

1/4

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

2 cups of lemon juice to 5 cups of water.

Answer:

A: 10,000 residents to 25 police officers

Step-by-step explanation:

400*25=10,000

Answer:

Autocratic Leadership

Step-by-step explanation:

Autocratic Leadership is when leaders control members over their individual ideas, not putting into consideration the group members's decisions. They usually only make choices based on their beliefs and idea, ignoring the advise of others.

This could be found here, where the coach have the team wear dark uniforms because he likes it, even though the team decided they would like to wear white jerseys instead.

Answer:

no problem glad to help

Answer:

-1

Step-by-step explanation:

To find slope

m=y2-y1

    --------

     x2-x1

m= 3-0

     -----

   -13-(-10)

m=  3

      ---

      -3

m=-1

Answer:

On

The plane landed ON the runway.

Step-by-step explanation:

A preposition is a word that shows the relationship of a noun or pronoun with another word.

For example, in this sentence the noun is plane and we need to connect it with runway.

And on is the answer that makes the most sense.

Answer:

( 2 x +5)  ( x ^3 − 4 )

Step-by-step explanation:

I dont think this the answer your looking for, however, if you work backwards from here by expanding, you might get what you want. :)

Answer:

C

Step-by-step explanation:

6

Answer:

C

Step-by-step explanation:

It gib the funny check mark

Answer:

3

Step-by-step explanation:

You first plug in the values for x and y into the equation

3(4)+6÷ 2(3)

Then Simplify each side

12+6÷6

18÷6

=3

Answer:

CPB

Step-by-step explanation:

acute is less than 90 degrees and right is 90 degrees and obtuse is over 90 degrees

Answer: The answer is CPB