Point F is located at (3, -2) on the grid. Which coordinate pair is located 5 units from Point F?

In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The follow

Alex

Answer:

A) x¯ = 134.5

s² = 276.7 is the same for both formulas

s = 16.634

B) At 68.26%, we have (117.866, 151.134)

At 95.44%, we have (101.232, 167.768)

At 99.73%, we have (84.598, 184.402)

C) Yes, it will be considered high because 190 doesn't fall between any of the 3 tolerance intervals gotten in B above.

Step-by-step explanation:

A) The random 6 entertainment expenses are;

$157, $132, $109, $145, $125, $139

We want to find x¯ which is the mean.

Thus;

x¯ = (Σx)/n

x¯ = (157 + 132 + 109 + 145 + 125 + 139)/6

x¯ = 134.5

s² is the variance and can be calculated from 2 different formulas which are;

s² = (Σ(x - x¯)²)/n

Or s² = ((Σx²) - (Σx)²/n)/(n - 1)

For the first formula, when calculated we have;

s² = [(157−134.5)² + (132−134.5)² +(109−134.5)² + (145−134.5)² +(125−134.5)² + (139−134.5)²]/6

s² = 276.7

For the second formula;

(Σx²) = (157)² + (132)² + (109)² + (145)² +(125)² + (139)² = 109925

(Σx) = (157 + 132 + 109 + 145 + 125 + 139) = 807

Thus;

s² = (109925 - (807²/6))/(6 - 1)

s² = 276.7

So both formulas gave the same result of s²

s = √s² = √276.7

s = 16.634

B) from the empirical rule, 68% of the data will fall within one standard deviation while 95% of the data will fall within two standard deviations, and then 99.7% of the data will fall within three standard deviations from the mean.

Now, 68.26% will correspond to 1 standard deviation from the means and the tolerance level Formula here is;

x¯ ± s = 134.5 ± 16.634

This gives; (117.866, 151.134)

95.44% will correspond to within 2 standard deviations and the formula here is;

x¯ ± 2s = 134.5 ± 2(16.634)

>> (101.232, 167.768)

99.73% will correspond to within 3 standard deviations and the formula here is;

x¯ ± 3s = 134.5 ± 3(16.634)

>> (84.598, 184.402)

C) Yes it would be considered high because it doesn't fall between any of the 3 intervals in B above.

7 0

3 years ago

moon ate 2 slice of cake. sira ate 1 slices. If there were initially 4 slices of equal size, what fraction of the pie was eaten?

suter [353]

3/4, 2 plus 1 pieces

6 0

4 years ago

Samantha took out two loans totaling $6,000 to pay her first year of college. She borrowed the maximum amount she could at 3.5%

Sidana [21]

Our simple interest formula is I = prt, where I is the amount of interest, p is the amount of principal, r is the percentage written as a decimal, and t is the amount of time (in this case in years). We will define our variable x as the amount borrowed at the lower percentage rate. Our formula would then look like
$I=x(0.035)(1) \\ =0.035x$ . (Remember that when we convert percentages to decimals, we divide by 100; 3.5/100 = 0.035.)
The remaining money borrowed was invested at 7% interest. The expression to represent the remaining money would be 6000 - x, as it is what was left over to borrow. The interest formula for this loan would be
$I=(6000-x)(0.07)(1)$ . (Again, we must divide 7 by 100 to convert the percentage; 7/100=0.07.)
Using the distributive property we have:
$I=6000*0.07-x*0.07 \\ =420-0.07x$ (t in this case is 1, since it is 1 year.)
The total amount of interest for both loans for one year was $259, so we have:
$259=0.035x+420-0.07x$
Combine our like terms:
$259=-0.035x+420$
Cancel 420 by subtracting:
$259-420=-0.035x+420-420 \\ -161=-0.035x$
Cancel -0.035 by dividing:
$\frac{-161}{-0.035}=\frac{-0.035x}{-0.035} \\ 4600=x$
This means she borrowed $4600 at the lower interest rate. The remainder would be $6000-$4600=$1400 at the higher interest rate.

3 0

3 years ago

1. If x+ 2 = 7, then x=5. Converse: Inverse: Contrapositive:

fenix001 [56]

Answer:

Converse: if 5=x then x+2=7

Inverse: if x+2 doesnt = 7 then x isnt 5

Contrapositive: if x doesnt equal five then x plus two doesnt equal seven

Step-by-step explanation:

We just did this last week :)

7 0

4 years ago

Read 2 more answers

I begggggg help me please

Nikolay [14]

Answer:

C: y = 5x + 3.5

Step-by-step explanation:

Another word for rate of change is slope, we can find the slope of the table using the slope formula

m = y2-y1/x2-x1

=6-2/1-0

=4/1

=4

The linear functions written below are in slope-intercept form y = mx + b where m is the slope and b in the y-intercept

So the slopes are 2, 3, 5, and 1, the only slope that is greater than 4 is five so it would be answer C

3 0

3 years ago

Point ​F​ is located at (3, -2) on the grid. Which coordinate pair is located 5 units from Point F?

Point F is located at (3, -2) on the grid. Which coordinate pair is located 5 units from Point F?