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sergiy2304 [10]
3 years ago
8

Shaun's savings can be modeled by the regression equation y = 6x^2 + 75x+200. Which of the following is the best prediction for

the amount he will have saved after 25 months?
A. $3,791
B. $3,754
C. $2,936
D. $5,825
Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

Option D

Step-by-step explanation:

The equation to predict the amount saved is

y = 6x ^ 2 + 75x + 200.

Assuming that the variable x represents the saving months, then substitute x = 25 in the quadratic equation and solve for y.

y = 6 (25) ^ 2 +75 (25) +200\\\\y = \$\ 5,825

The answer is the option D  $5,825

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The area of the parallelogram is 65 square miles. Find its base and height.
galben [10]
(base 13) (height 5)

(base 5) (height 13)
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3 years ago
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A lion runs at a speed of 50 mph and a cheetah runs 78 mph. If they both run at a steady rate, how far will a cheetah run in the
Elden [556K]

Answer:

21.45 mi

Step-by-step explanation:

Distance = speed × time

The time it takes the lion is:

13.75 mi = 50 mi/hr × t

t = 0.275 hr

The distance ran by the cheetah in that time is:

d = 78 mi/hr × 0.275 hr

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3 years ago
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A fertilizer company manufactures 10-pound bags of fertilizer with a standard deviation of 0.24 pounds per bag. The bag weights
Ksju [112]

Answer:

the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05

Step-by-step explanation:

Given the data in the question;

μ_x = 10 pound bags

standard deviation s_x = 0.24 pounds

sample size n = 4

The bag weights are normally distributed so;

p( x' less than 9.8 ) will be;

p(  (x'-μ_x' / s_x')   <   (9.8-μ_x' / s_x')  )

we know that;

μ_x' = μ_x = 10

and s_x' = s_x/√n = 0.24/√4

so; we substitute

p(  z  <  ( (9.8 - 10) / (0.24/√4)  )

p(  z  <  -0.2 / 0.12   )

p(  z  <  -1.67   )

{ From z-table }

⇒ p(  z  <  -1.67   ) = 0.0475 ≈ 0.05

Therefore, the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05

3 0
3 years ago
-x+4(x+3)=-12<br>is this never true or always true
rodikova [14]

Answer: Never true.


Step-by-step explanation: Distribute the numbers: 4 times x is 4x, 4 times 3 is 12. Then you have the equation: -x+4x +12 = -12. Now, choose a random number, maybe -4. A negative plus a negative cancels out so you are left with 4-16(Because you distribute the number) +12 = -12. 4-16 is -12. -12 plus 12 equals 0.

7 0
3 years ago
IM GIVEN BRAINLIEST!! :)
kiruha [24]

Answer: 975.

A 28% discount makes 702 72% of the original price, so 702/.72 gives 975

Hope this helps :)

8 0
3 years ago
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