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Setler [38]
3 years ago
13

7. Find the sum or difference. -2(d +1) + (6d +4)

Mathematics
1 answer:
Arturiano [62]3 years ago
4 0

Answer:

Step-by-step explanation:

Sum

-2d + 1 + 6d + 4

Solving like terms

4d + 5

Difference

-2d + 1 - 6d - 4

-8d - 3

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Suppose the mean SAT verbal score is 525 with a standard deviation of 100, while the mean SAT math score is 575 with a standard
Ipatiy [6.2K]

Answer:

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

Step-by-step explanation:

Normal variables

Normal variables have mean \mu and standard deviation \sigma

When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.

In this question:

Verbal: \mu_{V} = 525, \sigma_{V} = 100.

Math: \mu_{M} = 575, \sigma_{M} = 100

Combined:

\mu = \mu_{V} + \mu_{M} = 525 + 575 = 1100

\sigma = \sqrt{\sigma_{V}^{2}+\sigma_{M}^{2}} = \sqrt{100^2 + 100^2} = 141

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

6 0
3 years ago
The roof of a house seen from the front is an isosceles triangle \Delta ABC ΔABC with base 14.5 m and sides of length 8.5 m. Fin
melamori03 [73]

Answer:

4.4 m

Step-by-step explanation:

Draw the height of the triangle (perpendicular line from point A to line BC).  Since ABC is an isosceles triangle, the height is a perpendicular bisector, so it splits the triangle into two congruent right triangles.

Use Pythagorean theorem to find the height.

c² = a² + b²

(8.5 m)² = (14.5/2 m)² + h²

h ≈ 4.4 m

7 0
3 years ago
I really need help with this please!!
babunello [35]
J)x^2 +2x +yx+2y-5x-10
x^2-3x+yx-10

k)5y^2(1-2y)

l)a(x+y+z)
4 0
3 years ago
Adding and subtracting polynomials<br><br>(-3x² - 9x + 5) - ( -2x²- 4x + 7)​
seraphim [82]

Answer:

(-3x²- 9x+5) - (-2x²-4x +7)

= (-3x²- 9x²+5) (2x²+4x +7)

=-3x²-9x+5+2x²+4x-7

=-3x²+2x²-9x+4x+5-7

=-x²-5x-2

6 0
3 years ago
Find the missing side length in the image below.
bearhunter [10]

Answer:

6 is the ?

Step-by-step explanation:

7 0
2 years ago
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