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amm1812
3 years ago
11

two different floor plans are being offered in a new housing development. several prospective buyers from three different age gr

oups were surveyed about which plan they preferred. find the probability that a randomly selected by her preferred plan a or was in the 40-to 49-year-old age group. (The answer is not 0.912)

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0
<h3>Answer: Approximately 0.677</h3>

Explanation:

Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677

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A line passes through the points (7, 10) and (3, 2). What is its equation in slope- intercept form?
lapo4ka [179]
In order to get an equation is slope intercept form, we need to find the slope.

The formula is:
y2 - y1
———-
x2 - x1

In this case:
10 - 2
———
7 - 3
=
8/4
2

Now that we know the slope, we can plug it into y = mx + b with x and y being x1 and y1.

y = 2x + b
10 = 2(7) + b
10 = 14 + b
-4 = b

Now, we can construct our equation.

y = 2x - 4

Hope this helped!
3 0
4 years ago
What is the product of 45 x 104 = ________?
DedPeter [7]

Answer:

45 x104 = 4680

Step-by-step explanation:

5 0
3 years ago
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What's the smallest to largest out of 1/2 0.005 0.1 0.01
nikdorinn [45]
0.005, 0.01, 0.1, 1/2
3 0
3 years ago
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What is the m∠N ? Can someone help me :)
Sauron [17]

Answer:

<h2>61°</h2>

Step-by-step explanation:

Use the sine law:

\dfrac{MO}{\sin(\angle N)}=\dfrac{NM}{\sin(\angle O)}

We have:

MO=18\\\\NM=6\\\\m\angle O=17^o\to\sin17^o\approx0.2924

Substitute:

\dfrac{18}{\sin(\angle N)}=\dfrac{6}{0.2924}         <em>cross multiply</em>

6\sin(\angle N)=(18)(0.2924)

6\sin(\angle N)=5.2632          <em>divide both sides by 6</em>

\sin(\angle N)=0.8772\to m\angle N\approx61^o

4 0
3 years ago
Write a number between 80 and 100 that has exactly 3 factors, one of which is a 5
Flura [38]
Answer:

answer is 90

Explanation:

Here 5 is one of the 4 prime factors, so dividing the lower (80) and upper limit (100) by 5 we have new lower limit 16 and new upper limit 20.

So the product of other 3 factors should be greater than 16 and less than 20.

And we can have it from 18 only. Hence the number is 90.

The numbers between 80 and 100 having factor 5 are

<span>80,85,90,95,100</span>

<span>16=<span>24</span></span>

<span>17=17</span>

<span>18=2×3×3</span>

<span>19=19</span>

<span>20=<span>22</span>×5</span>

<span>90=2×<span>32</span>×<span>5</span></span>

<span><span>
</span></span>

5 0
4 years ago
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