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3 years ago

Select all that justify the following statement.

2 answers:

6 0

This one 10 + x12 = 12x + 10 is a) commutative - addition
And this 10 + x12 =10 + 12x is e) commutative - multiplication

So you use them both. And they're both correct.

Setler [38]3 years ago

6 0

Answer:

The statement satisfied the expression 10 + x 12 = 12x + 10 is

Option (e) i.e commutative - multiplication and Option (a) i.e commutative - addition .

Step-by-step explanation:

Commutative Property

Let a, b be two numbers thus they satisfied the commutative property

i.e a + b = b + a

As given the expression.

10 + x ×12 = 12x + 10

First apply the Option (e) i.e Commutative - multiplication.

Thus expression becomes

10 + 12x = 12x + 10

Now apply the Option (a) i.e Commutative - addition.

Therefore the statement satisfied the expression 10 + x 12 = 12x + 10 is

Option (e) i.e commutative - multiplication and Option (a) i.e commutative - addition .

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The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same

masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. $\mu_1 = 64$ $\sigma_1=2.7$

Since , $z=\dfrac{x-\mu}{\sigma}$

Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).

[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]

$z=\dfrac{72-64}{2.7}=2.96296296\approx2.96$

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. $\mu_2 = 69.3$ $\sigma_2=2.8$

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

$z=\dfrac{70-69.3}{2.8}=0.25$

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0

3 years ago

Find the side length of X

7nadin3 [17]

Answer:

7√3

Step-by-step explanation:

We can use pythagoreans theorem to solve this

Since, we know one side, and the hypotenuse, we can solve for the other side.

Pythagoreans theorem: a²+b²=c²

Where a and b are two sides, and c is the hypotenuse (the side opposite of the right angle)

In this triangle, 7 is the side, and 14 is the hypotenuse.

I will plug in the values into pythagoreans theorem, and then simplify:

$a^{2}+b^{2} =c^{2} \\\\7^{2} +x^{2} =14^{2} \\\\49+x^{2} =196\\\\x^{2} =147\\\\x=\sqrt{147} \\\\x=\sqrt{49*3 }\\\\ x=\sqrt{7^{2} *3 }\\\\x=7\sqrt{3}$