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3 years ago

-3 times x < 15 what would x equal

Mathematics

1 answer:

AfilCa [17]3 years ago

7 0

Answerx could equal 1,-1,2,-2...

Step-by-step explanation:

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What is the answer to 3x(2 1/5)=

solniwko [45]

Answer:

Step-by-step explanation:

3x(2 1/5)= (6 3/5) * (x)

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3 years ago

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Simplify 5(x + 3) - 9x+4.<br>O A. 14x+7<br>O B.-4x+19<br>O C. 14x+19<br>D. -4x+7

Julli [10]

Answer:

Step-by-step explanation:

distribute

5x+15-9x+4

combine like terms

-4x+19

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3 years ago

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Each pail of plaster covers 90 square feet of ceiling. What is the least number of plaster you would need to buy to cover the ce

denpristay [2]

You would need 3 pails of plaster, specifically about 2 pails and a fifth of another but you cant buy a fraction of a pail, so 3 pails are needed.

4 0

3 years ago

Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

6 0

3 years ago

Can someone please help me solve this and find the answer?<br> Thanks so much!

lisabon 2012 [21]

Your answer is 8.626
Because it's a square, you know that each side is 8 because √64 = 8. This also tells you that the radius of each of the outer circles is 4.
Because each side of the square is 8, you can use Pythagoras' Theorem to find the diagonal, and do 8² + 8² = 64 + 64 = 128, so √128 is the diagonal (I'm leaving it in surd form because it's a pretty long number). You first need to divide √128 by 2, because you're trying to find the radius of circle O, so that gives you 5.657.
Because you know that the radius of the outer circle is 4, you can subtract 4 from this and get 1.657 as your radius. Now, we can use this to find the area of the circle by doing π × 1.657² = 8.626.

I hope this helps!

5 0

3 years ago