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3 years ago

Solve using the Distributive Property

Mathematics

1 answer:

diamong [38]3 years ago

5 0

Answer:

6(5)+(2)5

Step-by-step explanation:

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Solve. State the Inverse operation you used. 1. k X 4 = 96 | 2. b = 12 = 12 | 3. 9X n = 5.4 | 4. y X 16 = 48 | 6. 3.9 x m= 19.5

ivolga24 [154]

Answer:

hmu on sn*p and I got u kevinscoolrevi7

5 0

3 years ago

The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,00

timama [110]

Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067

Step-by-step explanation:

Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = life expectancy of the brand of tire in miles.

µ = mean

σ = standard deviation

From the information given,

µ = 40000 miles

σ = 5000 miles

The probability that a randomly selected tire will have a life of exactly 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500)/5000 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

6 0

3 years ago

The minute hand of a clock in a clock tower has a length of 36 inches.

Paul [167]

45 i guessStep-by-step explanation:

4 0

3 years ago

Can someone please help me with this question and show the steps?

Katena32 [7]

<h2>Answer:</h2>

$D. \ 408in^2$

<h2>Step-by-step explanation:</h2>

This is a square pyramid because it's a solid having a square base. The point up the pyramid is called the apex and is directly above the middle of the square base. The surface area of a solid is the total area of its outer surface. If we unfold this pyramid, we'll get one square and four identical triangles. So the surface are can be calculated as follows:

$s=s_{square}+4s_{triangle}$

FOR THE SQUARE:

$s_{square}=L^2 \\ \\ L=12in \\ \\ s_{square}=12^2=144in^2$

FOR THE TRIANGLE:

$s_{triangle}=\frac{bh}{2} \\ \\ b=12in \\ h=11in \\ \\ s_{triangle}=\frac{12\times 11}{2}=66in^2$

Finally:

$s=s_{square}+4s_{triangle} \\ \\ s=144+4(66) \\ \\ s=144+264 \\ \\ \boxed{s=408in^2}$

7 0

3 years ago

Write an equation of the line that is perpendicular to 3x + 9y = 7 and passes through the point (6, 4)

andrezito [222]

The perpendicular line will have the x and y coefficients swapped and one of them negated. We can write the desired line as
9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
3(x -6) -(y -4) = 0
3x -y = 14

An equation for the line of interest is ...
3x -y = 14

8 0

3 years ago

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