What is the answer to 3(2b-1)

Answers

Answer 1

Answer: You need to distribute the 3, so your answer would be 6b-3

Answer 2

Answer: You have to distribute the 3 to everything within the parenthesis.

3 • 2b = 6b & 3 • -1 = -3

So, your answer will be 6b-3.

Hope I helped. :)

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PhD’s in Engineering. The National Science Foundation reports that 70% of the U.S. graduate students who earn PhD degrees in engineering are foreign nationals. Consider the number Y of foreign students in a random sample of 25 engineering students who recently earned their PhD.a) Find the probability that there are exactly 10 foreign students in your sample – use equation for thisb) Find the probability that there are less than or equal to 5 foreign students in your sample andc) Find the mean and standard deviation for Y

Esteban bought a new stove for $986 on his credit card. He used the stove for eleven years before replacing it. The stove cost him an average of $0.14 per day in electricity. Esteban had preventive maintenance done on the stove, costing $24.25 each year for the eleven years. Esteban’s credit card has an APR of 9.26%, compounded monthly. He paid off his balance by making identical monthly payments for five years. Sales tax in Esteban’s area is 8.22%. Assuming that Esteban made no other purchases or payments with his credit card, what was the lifetime total cost of the stove? (Assume that two of the years Esteban had the stove were leap years, and round all dollar values to the nearest cent.) a. $2,534.57 b. $2,166.53 c. $2,234.23 d. $2,064.53

Answers

5 years repayment 11 years maintenance and electricity cost of $24.25

and $0.14, makes the total lifetime cost of the stove b. $2,166.53.

How can the total cost of the stove be calculated?

The cost of the stove = $986

Daily electricity cost = $0.14

Maintenance cost per year = $24.25

Annual Percentage Rate, APR, on the credit card = 9.26%

Number of years the balance was paid off = 5 years using identical monthly payments

Sales tax = 8.22%

Required:

Lifetime total cost of the stove

Solution:

$Monthly \ payment, \ M = \mathbf{(P \cdot \left((r)/(12) \right) \cdot \left(1+(r)/(12) \right)^n )/(\left(1+(r)/(12) \right)^n - 1)}$

Where;

r = 0.0926

n = 12 × 5 = 60

P = 1.0822 × $986 = $1,067.0492

Which gives;

$Monthly \ payment, \ M = \mathbf{(1,067.0492 * \left((0.0926)/(12) \right) \cdot \left(1+(0.0926)/(12) \right)^(60) )/(\left(1+(0.0926)/(12) \right)^(60) - 1)} \approx 22.29$

Payment for the purchase ≈ 60 × $22.29 = $1337.4

Amount paid as electricity bill = $0.14 × 365 + 2 × $0.14 = $562.38

The maintenance cost = 11 × $24.25 = $266.75

Which gives;

Total stove cost ≈ $1,337.4 + $562.38 + $266.75 = $2,166.53

The selection that gives the total cost is the is the option;

b. $2,166.53

Learn more about payment for a loan here:

brainly.com/question/1393296

Answer:

2166.53

Step-by-step explanation:

Price x 1.0822 = 1067.0492 <Price with tax

P= PV x i / 1- (1+i)^-n

^ x (identical monthly payments for 5 years aka 12 x 5)

average cost for electricity x (365 x years aka 11)

cost for maintenance x 11

Add all 3 answers

=2166.53

A data related to air pollution in 10 U.S. cities. The dependent variable Y is the annual mean concentration of sulfur dioxide, in micrograms per cubic meter. The explanatory variable X records the number of manufacturing enterprises employing 20 or more workers. Below is Routput of the relationship between X and Y. Coefficients: Estimate Std. Error t value Pro> tl) (Intercept) 9.4764 9.6266 0.98 0.354 2.0315 0.0070 4.51 0.CO2 ** X Signif. codes: 9 ****' 0.001 ***' 0.01 **' 0.05, 0.1' '1 Residual standard error: 17.9 on 8 degrees of freedom Multiple R-squared: 0.717, Adjusted R-squared: 0.682 F-statistic: 20.3 on 1 and 8 DF, p-value: 0.00198
a) Write the regression equation with parameters from the R output.b) Suppose that the number of manufacturing enterprises employing 20 or more workers in Irvine is 250, could you predict that the annual mean concentration of sulfur dioxide in Irvine?c) What is the residual if in Irvine the annual mean concentration of sulfur dioxide is 15 micrograms per cubic meter.d) What is the value of the correlation coefficient?e) Calculate a 95% confidence interval for the slope of the model.f) Based on the confidence interval, is there a linear relationship between X and Y?

Answers

Answer:

Y = 0.0315x + 9.4764

Residual = 2.35

Correlation Coefficient = 0.847

Step-by-step explanation:

From the R output given :

Intercept = 9.4764

Slope = 0.0315

x = number of manufacturing enterprise employing 20 or more workers

y = annual mean concentration of Sulphur dioxide

The regression equation :

y = bx + c

b = slope ; c = intercept

y = 0.0315x + 9.4764

Prediction using the regression equation :

The predicted y value, when x = 250

y = 0.0315(250) + 9.4764

y = 17.3514

The residual, if actual annual concentration = 15

Y residual = 17.35 - 15 = 2.35

The correlation Coefficient value, R

R = √R²

R = √0.717

R = 0.847

Mr.ward and mr. heskey are racing toy cars and Mr. heskey wants to give mr. ward an 8 ft head start because his car is 2 seconds slower. mr. ward's car travels 4 feet per second and mr. he's key's car travels 6 ft per second.which inequality could be used to determine after how many seconds, 's mr. heskey's car will be head of mr. ward's car?

please show how you got the answer.

Answers

Answer:

F. 6s > 4s +8

Step-by-step explanation:

From a reference point at the beginning of the track, Ward's car will be located 4s+8 feet down the track after s seconds. That is, it starts 8 feet down the track, and increases its distance by 4 feet every second.

From the same reference point, Heskey's car will be located 6s feet down the track after s seconds. Its distance starts from zero and is increasing at the rate of 6 feet every second.

For Heskey's distance to exceed Ward's distance you want ...

6s > 4s +8 . . . . . . matches choice F

A circle has a center (2, 4). prove that if the radius of the circle is less than 5, then the circle does not intersect the line y=x-6.

Answers

Draw a coordinate system, Draw a circle with radius 5 with center part (2,4). Now draw a line of y=x-6 with -6 being the y intercept and see what you get

Jeremy sprinted for 123 seconds and rested. Then he sprinted for 157 seconds, rested, and sprinted again for 195 seconds. Estimate the combined time he sprinted by rounding to the nearest ten and then adding the rounded numbers.

Answers

480 aproxmately if you round the numbers then add them up

A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle? Check all that apply.(x – 12)2 + y2 = 12
(x – 6)² + y² = 36
x² + y² = 12
x² + y² = 144
(x + 6)² + y² = 36
(x + 12)² + y² = 144

Answers

Answer:

Options 2 and 5.

Step-by-step explanation:

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$ ... (1)

where, (h,k) is center and r is radius.

We need to find the circle that has a diameter of 12 units, and its center lies on the x-axis.

$radius=(Diameter)/(2)=(12)/(2)=6$

So, radius of required circle must be 6 and center is in the form of (a,0).

The first equation is

$(x-12)^2+(y)^2=12$ .... (2)

On comparing (1) and (2) we get

$h=12,k=0,r=√(12)$

Center of the circle is (12,0) and radius is $√(12)$ . So, option 1 is incorrect.

Similarly,

For equation 2, center of the circle is (6,0) and radius is $6$ . So, option 2 is correct.

For equation 3, center of the circle is (0,0) and radius is $√(12)$ . So, option 3 is incorrect.

For equation 4, center of the circle is (0,0) and radius is $12$ . So, option 4 is incorrect.

For equation 5, center of the circle is (-6,0) and radius is $6$ . So, option 5 is correct.

For equation 6, center of the circle is (-12,0) and radius is $12$ . So, option 6 is incorrect.

Therefore, the correct options are 2 and 5.

its the 2nd and the 5th

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