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3 years ago

If 4 times the sum of a number and 3 is six less than twice the number, what is the number?

Mathematics

1 answer:

Nat2105 [25]3 years ago

3 0

Answer:

-9

Step-by-step explanation:

4(n + 3) = 2n - 6

4n + 12 = 2n - 6

2n = -18

n = -9

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A man and a woman agree to meet at a cafe about noon. If the man arrives at a time uniformly distributed between 11:40 and 12:10

kompoz [17]

Answer:

0.3888

Step-by-step explanation:

To solve the exercise we need a neutral time, so we define at 12:00 as time 0.

If the man arrives in a uniformly distributed time between 11:40 and 12:10, the time is distributed from -20 to 10.

If the woman arrives in a time evenly distributed between 11:45 and 12:20, the time is distributed from -15 to 20.

Assuming that each one arrives at 12: X and 12: Y for men and women, then the space of our time is defined as

Man [-20,10]

Woman [-15,20]

So,

$f_x(x)=\frac{1}{10-(-20)}=\frac{1}{30}\\f_y(y)=\frac{1}{20-(-15)}=\frac{1}{35}$

Then,

$f_{xy}(x,y)=f_x(x)f_y(y)=\frac{1}{30} \frac{1}{35} = \frac{1}{1050}$

The probability of finding an arrival less than 5 minutes is

$P(|X-Y|\leq 5) = \int\limit^20_{-15} \int\limit^{x+5}_{x-5} f(x,y)dydx$

$P(|X-Y|\leq 5)= \frac{1}{1050}\int\limit^{20}_{-15} y|^{x+5}_{x-5}dx$

$P(|X-Y|\leq 5)= \frac{35*10}{900}=0.3888$

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3 years ago

Whats the equivalent expression for 7(2x + 9)

sertanlavr [38]

14x+63 , distribute the number to all the numbers inside

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4 years ago

68 first-graders and 17 other students attended a school assembly. What percentage of the students at the assembly were first-gr

galben [10]

Answer:

0.25

Step-by-step explanation:

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3 years ago

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gulaghasi [49]

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3 years ago

I have completed everything except for the last box. Can someone please help me on the last box? Thank you for your help!

Lera25 [3.4K]

Answer:

$2.5\%$

Step-by-step explanation:

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The directions say to give the approximate percentage which is vague. You may have to input $3\%$ if it does not accept $2.5\%$ .

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3 years ago