Find the geometric mean x of each pair of numbers. 1.5 and 84

Answers

Answer 1
Answer: Geometric Mean = √(1.5 × 84)
Geometric Mean = √(126)
Geometric Mean = √(9 × 14)
Geometric Mean = √(9)√(14)
Geometric Mean = 3√(14)

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There are 42 students in a class.Each student walks to school or cycles to school or gets the bus to school.
There are 23 girls in the class.
10 of the girls walk to school.
6 of the boys cycle to school.
7 of the 11 students who get the bus to school are boys.
Find the number of these students who walk to school.
Your final line must say, Number who walk to school = ...​

Answers

Answer:

15 students walk to school

Step-by-step explanation:

42 - total students

42 - 23 = 19

----

23 girl students

19 male students

----

19 - 6 = 13

13 - 2 = 11

--

11 - 7 = 3

3 + 2 = 5

--

10 girls walk to school

5 boys walk to school

--

10 + 5 = 15

The function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens. Find and interpret C(0), C(2) and C(4)

Answers

Answer:

Step-by-step explanation:

Given the function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens, we are to interpret C(0), C(2) and C(4).

For C(0), we are to substitute x = 0 into the given function;

C(0) = 0²+78(0)+29

C(0) = 0+0+29

C(0) = 29

Since the cost C(x) is in hundreds of dollars, C(0) = 2900

C(0) means that the cost of producing 0 thousand pen is $2,900

For C(2), we are to substitute x = 2 into the given function;

C(2) = 2²+78(2)+29

C(2) = 4+156+29

C(2) = 189

Since the cost C(x) is in hundreds of dollars, C(2) = 189*100 = $18900

C(2) means that the cost of producing 2 thousand pens is $18,900

For C(4), we are to substitute x = 4 into the given function;

C(4) = 4²+78(4)+29

C(4) = 16+312+29

C(4) = 357

Since the cost C(4) is in hundreds of dollars, C(4) = 357

C(4) means that the cost of producing 4 thousand pens is $35,700

Final answer:

C(x) = x^2 + 78x + 29 models the cost to produce x thousand pens. Calculating C(0), C(2), and C(4), we find that C(0) = 29, C(2) = 189, and C(4) = 357. These values represent the cost in hundreds of dollars for producing 0, 2, and 4 thousand pens, respectively.

Explanation:

To find and interpret C(0), C(2), and C(4), we substitute the given values of x into the function C(x).

1.For C(0), we substitute 0 into the function C(x):

  1. C(0) = (0)^2 + 78(0) + 29
  2. C(0) = 0 + 0 + 29
  3. C(0) = 29
  4. So, C(0) = 29 hundred dollars, meaning it costs $2900 to produce 0 thousand pens.
  5. For C(2), we substitute 2 into the function C(x):
  6. C(2) = (2)^2 + 78(2) + 29
  7. C(2) = 4 + 156 + 29
  8. C(2) = 189
  9. So, C(2) = 189 hundred dollars, meaning it costs $18,900 to
  10. produce
  11. 2 thousand pens.
  12. For C(4), we substitute 4 into the function C(x):
  13. C(4) = (4)^2 + 78(4) + 29
  14. C(4) = 16 + 312 + 29
  15. C(4) = 357
  16. So, C(4) = 357 hundred dollars, meaning it costs $35,700 to produce 4 thousand pens.

Learn more about Cost Function here:

brainly.com/question/31952319

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For which data sets is the median a better measure of center than the mean? Choose all answers that are correct. A. Dorian drove 56, 62, 68, 71, 104, and 507 mi on 6 consecutive days. B. Mandy entered pumpkins weighing 2, 8.5, 9.2, 9.8, and 10.1 lb in the contest at the county fair. C. The winning times in each of the 5 heats of the 400-meter dash were 1:01, 1:03, 1:03.4, and 1:04.9 min. D. The bakery shop sold 46, 51, 62, and 72 cupcakes on each of the last 2 Saturdays and Sundays.

Answers

Median is a better measure of center than the mean(average)

a) 56,62,68,71,104,507 ⇒ Median is a better measure. Mean is not a better measure because of the outliers.

b) 2,8.5, 9.2, 9.8, 10.1 lb ⇒ Median is a better measure. 

c) Mean is a better measure. No outliers. Data set values are close with each other.

d) Mean is a better measure.

46h+56h=600 please solve

Answers

Answer:

5.88235294118

Step-by-step explanation:

Step 1:

46h + 56h = 600       Equation

Step 2:

102h = 600

Step 3:

h = 600 ÷ 102

Answer:

h = 5.88235294118

Hope This Helps :)

An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup. Which expression should be used to find the amount of the markup?

Answers

Answer:

The answer is 48(0.55) x 48

Answer:

The answer is 48(0.55) x 48

Step-by-step explanation:

wholesale $48 and sold at 55% which is the same as 0.55 then multiply wholesale by percent

Line KL has an equation of a line y = 4x + 5. Which of the following could be an equation for a line that is perpendicular to line AB? (6 points)y = 4x − 8

y = 1 over 4x − 8

y = −4x − 8

y = −1 over 4x − 8

Answers

To find a perpendicular slope (or line), the slope (in this case 4x) must be the opposite sign and its reciprocal, which is basically the fraction flipped upside down. Since 4 is technically 4/1, that fraction flipped is 1/4. And since you need to flip the sign too, instead of it being a positive number, it's negative. Your answer is -1/4x-8
y = -1 over 4x - 8 is the answer I think