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Dennis_Churaev [7]
2 years ago
5

4x−3y=18 Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
3 0

Answer:

13.5

Step-by-step explanation:

The point with the missing coordinate is (?, 12), so the value of  y  is 12.  Plug 12 into the equation in the place of  y.

4x - 3(12) = 18

4x - 36 = 18

4x = 54

x = 54/4 = 13.5

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Step-by-step explanation:

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2 years ago
The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and th
Alex777 [14]

Answer:

The correct option is b) 4.71

Step-by-step explanation:

Consider the provided information.

Test statistic for proportion: z=\frac{\hat p-p}{\sqrt{\frac{pq}{n}}}

It is given that the claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n=800 deaths of the elderly with 15 percent of them attribute to residential falls.

Therefore, \hat p=0.15, p = 0.1, q = 1-0.1 = 0.9 and n = 800.

Substitute the respective values in the above formula.

z=\frac{0.15-0.1}{\sqrt{\frac{0.1\times0.9}{800}}}

z=\frac{0.05}{\sqrt{\frac{0.09}{800}}}

z\approx4.71

Hence, the correct option is b) 4.71

3 0
3 years ago
One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak
Flauer [41]

Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

\frac{1}{15} x + \frac{1}{30} x = 1

This is representative of the situation. The fractions each represent <u>how much each person does in a minute</u>, and when they're multiplied by x, that's <u>how much of the project they get done</u> based off of the minutes they work together on the job. Add the two together, and you get <u>how much of the project is finished in x amount of time</u>. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

\frac{1}{15} x + \frac{1}{30} x = 1

\frac{2}{30} x + \frac{1}{30} x = 1

\frac{3}{30}x = 1

\frac{1}{10}x = 1

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Therefore, it will take them 10 minutes to do the job together.

Hope this helps!

8 0
3 years ago
F(v)=6+v^2 how do I solve
Nostrana [21]

Step-by-step explanation:

Well, this is a function. In order to solve this, you need a v value. Once you get a v value, you can plug into into 6+v^2 and wala- you get your answer.

Example, lets say

v is 3

then

F(3) = 6 + 3^2

f(3) = 6 + 9

f(3) =15

Hope this helped

6 0
3 years ago
The ages and grades of some of the 18 girls on a club soccer team are shown in the table.
Allushta [10]

Answer:c

Step-by-step explanation:I just did this one and got it correct

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