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3 years ago

Solve for q. 20 − 3q = 5q − 20

Mathematics

2 answers:

AnnyKZ [126]3 years ago

6 0

Answer:

Yummy, your answer is here :-[

Step-by-step explanation:

So, q = 5

tia_tia [17]3 years ago

3 0

Step-by-step explanation:

20 - 3q= 5q-20

you rearrange the data

20+20 =5q+3q

40=8q divide both side by coefficients of q

40/8=8q/8

q=5//

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The heights of the adults in one town have a mean of 67.1 inches and a standard deviation of 3.5 inches. What can you conclude f

Finger [1]

Answer:

The percentage of adults in the town whose heights are between 60.1 and 74.1 inches

P( 60.1≤X≤74.1) = 2.26 %

Step-by-step explanation:

Step(i):-

Given that the heights of the adults in one town have a mean of 67.1 inches

Mean of the Population = 67.1 inches

The standard deviation of the Population = 3.5inches

Let X₁ =60.1

$Z = \frac{x-mean}{S.D} = \frac{60.1-67.1}{3.5} = -2$

Let X₂ = 74.1

$Z = \frac{x-mean}{S.D} = \frac{60.1-74.1}{3.5} = -4$

Step(ii):-

The probability of adults in the town whose heights are between 60.1 and 74.1 inches

P( X₁ ≤X≤X₂) = P(Z₁≤Z≤Z₂)

= P( -2≤ Z≤-4)

= |A(-4) -A(-2)|

= A(4) - A(2)| (∵ A(-Z) =A(Z))

= 0.4998 - 0.4772

= 0.0226

Final answer:-

The probability of adults in the town whose heights are between 60.1 and 74.1 inches

P( X₁ ≤X≤X₂) = 0.0226

The percentage of adults in the town whose heights are between 60.1 and 74.1 inches

P( 60.1≤X≤74.1) = 2.26%

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The empty set (or null set) is a subset of _____ set(s

sashaice [31]

The empty set is a subset of EVERY set

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3 years ago

The area of a triangle is 15 square inches

babunello [35]

Answer:

6 inches

Step-by-step explanation:

The formula for the area of a triangle is

$Area = \frac{1}{2} (bh)$

b - base

h - height

the first step is to add the information that we know into the formula.

We know the area = $15 inches^{2}$ and the height = 5 inches

$15 in^{2} = \frac{1}{2} (b)(5)$

if we had both the base and the height, the next step would be to multiply

b x h then half the answer to work out the area but as we already have the area ( $15in^{2}$ ) we need to work in reverse.

15 x 2 = 30

what is 5 multiplied by to get 30?

5 x ? = 30

30 ÷ 5 = 6

∴ the base = 6inches

to check if our answer is correct, we can place these numbers into the formula

A = $\frac{1}{2} (6)(5)$

A = $\frac{1}{2} (30)$ (30 ÷ 2 = 15)

A = 15 $in^{2}$

I hope this was helpful :-)

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Andrews [41]

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