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kogti [31]
2 years ago
8

Assume the annual day care cost per child is normally distributed with a mean of ​$9000 and a standard deviation of ​$1000. What

percent of day care costs are more than ​$8600 ​annually?
Mathematics
1 answer:
Tpy6a [65]2 years ago
3 0

Answer:

65.54% (nearest hundredth)

Step-by-step explanation:

Given:

  • \sf \mu=9000
  • \sf \sigma=1000

\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)

P(X > 8600) = 1 - P(X ≤ 8600)

                    = 1 - 0.3445782584

                    = 0.6554217416

                    = 65.54%

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Is it possible for two tangents to intersect outside the circle?
natka813 [3]

Answer:

No.

Step-by-step explanation:

If they do intersect, the measurement of the angles they form is a half the difference of the intercepted arcs; both of the intercepted arcs would measure 180 degrees.

4 0
2 years ago
Solve the algebraic expression , is it equivalent?
Vladimir [108]

Answer:

No

Step-by-step explanation:

When  you distribute the -2 you get 6x -2x+2. When  you simplify it you get 4x+2 which is different than 4x-2.

6 0
2 years ago
The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
3 years ago
Please answer the question. ​
GalinKa [24]
Answer: x = 11

Explanation: if u want more math questions just ask me ok
5 0
2 years ago
Read 2 more answers
Mr.jacobs budgeted $1,200 for tiles. His sketch of the floor requires him to use 38 white tile. each white tile cost $12. Write
Arturiano [62]
Given: 
Budget for tiles = 1,200
number of white tiles = 38
unit cost of white tiles = 12
budget for brown tiles = x

cost of white tiles = 38 x 12 = 456

The inequality would be:

Cost of brown tiles + cost of white tiles <u><</u> budget
x + 456 <u><</u> 1,200

solving the inequality:
x + 456  <u><</u> 1,200
<u>   - 456        -456</u>
x      <u><</u> 744

Mr. Jacobs can spend up to 744 for the brown tiles.
8 0
3 years ago
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