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Goryan [66]
3 years ago
12

The expression (x+3)(x+5) is equivalent to?

Mathematics
1 answer:
LiRa [457]3 years ago
8 0

Answer:

B. x^2 + 8x + 15

Step-by-step explanation:

Use FOIL

First

Outside

Inside

Last

F: x * x = x^2

O: x * 5 = 5x

I: 3 * x = 3x

L: 3 * 5 = 15

Combine like terms

5x + 3x = 8x

x^2 + 8x +15

B. x^2 + 8x + 15

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If the area of a rectangle 24a2b and the length is 8ab2, what would the width of the rectangle, given that width is found by div
slava [35]
Area of a rectangle: A = 24 a² b
Length: L = 8 a b²
Width: W = A / L = 24 a² b / 8 a b²
Answer:  W = 3 a / b 
5 0
3 years ago
If a 45º-45º-90º triangle has a hypotenuse of length 9, find the leg length.
iVinArrow [24]

Answer:

Step-by-step explanation:

x²+x²=9²

2x²=81

x²=81/2=(81×2)/4

x=9√2/2≈4.5√2≈6.36

9.

x²+x²=11²

2x²=11²

x²=11²/2

x=11/√2=11√2/2≈7.78

7 0
3 years ago
A marketing research company desires to know the mean consumption of milk per week among people over age 32. A sample of 440 peo
Softa [21]

Answer:

The 98% confidence interval for the mean consumption of milk among people over age 32 is between 3.3 and 3.5 liters.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.01 = 0.99, so Z = 2.327.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.327\frac{0.8}{\sqrt{440}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 3.4 - 0.1 = 3.3 liters

The upper end of the interval is the sample mean added to M. So it is 3.4 + 0.1 = 3.5 liters

The 98% confidence interval for the mean consumption of milk among people over age 32 is between 3.3 and 3.5 liters.

7 0
2 years ago
What is the value of the exponential expression 5^0
Mademuasel [1]

Answer:

1)   your welcome

4 0
3 years ago
In an all boys school, the heights of the student body are normally distributed with a mean of 69 inches and a standard deviatio
slega [8]

Answer:

Two intervals are 63 and 75

Step-by-step explanation:

Given:

Mean of students (μ) = 69 inches

Standard deviation (σ) = 3 inches μ

Find:

Interval of heights (95%) using empirical rule

Computation:

Interval of heights (95%) using empirical rule:

⇒ μ – 2σ = 69 - 2(3)

⇒ μ – 2σ = 69 - 6

⇒ μ – 2σ = 63

⇒ μ + 2σ = 69 + 2 (3)

⇒ μ + 2σ = 69 + 6

⇒ μ + 2σ =  75

Two intervals are 63 and 75

7 0
3 years ago
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