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3 years ago

Plz help me answer this

Mathematics

2 answers:

Verizon [17]3 years ago

8 0

If 60% of the painters is 12, then 10% of the painters is 2, and therefore there are 20 painters.

Murrr4er [49]3 years ago

4 0

12 painters ----- 60% of the painting crew
x painters ------- 100% of the painting crew
____________________________________
12*100%=x*60%
12*1=x*0,6
12=0,6x
x=20

20 painters worked on this job :)

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Waiting on the platform, a commuter hears an announcement that the train is running five minutes late. He assumes the arrival ti

natima [27]

Answer:

D. 91%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Less than 15 minutes.

Event B: Less than 10 minutes.

We are given the following probability distribution:

$f(T = t) = \frac{3}{5}(\frac{5}{t})^4, t \geq 5$

Simplifying:

$f(T = t) = \frac{3*5^4}{5t^4} = \frac{375}{t^4}$

Probability of arriving in less than 15 minutes:

Integral of the distribution from 5 to 15. So

$P(A) = \int_{5}^{15} = \frac{375}{t^4}$

Integral of $\frac{1}{t^4} = t^{-4}$ is $\frac{t^{-3}}{-3} = -\frac{1}{3t^3}$

Then

$\int \frac{375}{t^4} dt = -\frac{125}{t^3}$

Applying the limits, by the Fundamental Theorem of Calculus:

At $t = 15$ , $f(15) = -\frac{125}{15^3} = -\frac{1}{27}$

At $t = 5$ , $f(5) = -\frac{125}{5^3} = -1$

Then

$P(A) = -\frac{1}{27} + 1 = -\frac{1}{27} + \frac{27}{27} = \frac{26}{27}$

Probability of arriving in less than 15 minutes and less than 10 minutes.

The intersection of these events is less than 10 minutes, so:

$P(B) = \int_{5}^{10} = \frac{375}{t^4}$

We already have the integral, so just apply the limits:

At $t = 10$ , $f(10) = -\frac{125}{10^3} = -\frac{1}{8}$

At $t = 5$ , $f(5) = -\frac{125}{5^3} = -1$

Then

$P(A \cap B) = -\frac{1}{8} + 1 = -\frac{1}{8} + \frac{8}{8} = \frac{7}{8}$

If given the train arrived in less than 15 minutes, what is the probability it arrived in less than 10 minutes?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{7}{8}}{\frac{26}{27}} = 0.9087$

Thus 90.87%, approximately 91%, and the correct answer is given by option D.

3 0

3 years ago

If the Williams family has a monthly income of $3000 how much do they spend on clothing and entertainment

MA_775_DIABLO [31]

$360

To solve this, multiply 3000 by 12%.

3000 x 12%

To convert percentages to decimals, divide them by 100 and remove the % sign.
So... 12% = 0.12

= 3000 x 0.12
= 360

5 0

4 years ago

Divide. (3 3/4)÷(−2 1/2) Enter your answer as a mixed number, in simplified form, in the box.

neonofarm [45]

$3 \frac{3}{4} = \frac{15}{4}$

Because (4*3) + 3 = 15. Similary find the improper fraction for -2 1/2.

(15/4) / (-5/2) = -3/2

Convert -3/2 into a mixed fraction.

Therefore, -3/2 = -1 1/2.

6 0

3 years ago

Read 2 more answers

When you divided an even number by an even number is result still a even ?

hram777 [196]

Answer:

yes the result is still positive

5 0

4 years ago

Read 2 more answers

14+5/7x-20=4/7x-4<br><br> Can someone help me on this question

cluponka [151]