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andrew-mc [135]
3 years ago
5

What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea

r function.
Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
To find the contrapositive, you negate the hypothesis and the conclusion of the statement, and then switch their positions in the statement such that the conclusion becomes the hypothesis and vice versa:

If two variables are directly proportional, then their graph is a linear function. 

If two variables are not directly protional, then their graph is not a linear function.
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A city police force is made up of 24% females. If there are 72 females on the force, how many males are on the force?
erastovalidia [21]

Answer:

228 males

Step-by-step explanation:

Let x be the number of males.

This means x + 72 is the total number of people.

So \frac{72}{x+72} is the fraction of females in the force.

Thus, we can form the equation:

\frac{72}{x+72} = 0.24

x+72 = \frac{72}{0.24}

x = \frac{72}{0.24} -72

x = 228

Thus, the answer is 228 males.

6 0
3 years ago
Priscilla can make 4 bracelets in 12 minutes. At this rate, how many bracelets can she make in 48 minutes?
patriot [66]

Answer:

A. 16

Step-by-step explanation:

We can use a ratio to solve

4 bracelets        x bracelets

----------------- = -------------

12 minutes        48 minutes

Using cross products

4 * 48 = 12x

192 = 12x

Divide by 12 on each side

192/12 =12x/12

16 =x

3 0
3 years ago
The number of pennies on square 64 is BLANK
Serga [27]

Answer:

Greater Than

Step-by-step explanation:

edge

3 0
3 years ago
Read 2 more answers
A large dining room table is in the shape of a semi circle diameter 12 feet. What is the square feet closest to the area ? Radiu
Zarrin [17]
No, the radius is not 3.14 .  The radius is 1/2 of the diameter . . .  That's 6 feet.
If you see 3.14 on the sheet, then that's the number you're supposed to use for pi .

The area of any circle is (pi) x (radius squared).
If the table were a full circle, its area would be (pi) x (6 squared) = 36 pi square feet.

But it's only half of that . . . 18 pi = (18) x (3.14) = <u>56.52 square feet</u>.

That's called the "area" of the table, not the "square feet" of the table.

And another thing:   I see you're asking for the "closest" number.   Don't ask me
how I know this, but I'm pretty sure that right under this question wherever you
copied it from, there's a list of choices, and when you posted the question, for
some reason you decided not to share the list.
7 0
3 years ago
A surveyor asks people whether or not they support their senator's vote on a bill. Choose the type of data that is collected. Gr
Zina [86]

Answer:

Quantitative data

Step-by-step explanation:

The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."

Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.

Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.

7 0
3 years ago
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