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Orlov [11]
2 years ago
11

Evaluate the expression. (15 + 6) divided by 3

Mathematics
2 answers:
mina [271]2 years ago
8 0
The answer is 7.

You want to use PEMDAS. Do the parenthesis (15+6) which is 21. Then divide 21 by 3 which gets you 7.
pshichka [43]2 years ago
3 0
7. (15+6)=21 and 21/3=7
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Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari
Gelneren [198K]

Answer:

Probability that the wait time is greater than 37 minutes is 0.3474.

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.

<u><em>Let X = waiting time for a car to pass by on a country road</em></u>

The probability distribution function of exponential distribution is given by;

f(x) = \lambda e^{-\lambda x}  , x >0     where, \lambda = parameter of distribution.

Now, the mean of exponential distribution is = \frac{1}{\lambda}  which is given to us as 35 minutes that means  \lambda = \frac{1}{35}  .

So, X ~ Exp( \lambda = \frac{1}{35} )

Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;

F(x) = P(X \leq x) = 1 - e^{-\lambda x}  , x > 0

Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X \leq 37 min)

  P(X \leq 37 min) = 1 - e^{-\frac{1}{35} \times 37}        {Using CDF}

                         = 1 - 0.3474 = 0.6525

So, P(X > 37 min) = 1 - 0.6525 = 0.3474

Therefore, probability that the wait time is greater than 37 minutes is 0.3474.

4 0
3 years ago
The graph of g(x) is a transformation of the graph of f(x)=4x .
Alenkasestr [34]

Answer:

g(x) = 4^x + 1.

Step-by-step explanation:

The graph of f(x) = 4^x  passes through the point (0, 1) because when x = 0, 4*0 = 1. Also when x = 1,  4^x=  4.  So it passes through (1, 4).

For g(x) we have corresponding points (0, 2) and (1, 5).

So we see that g(x) is a similar graph but it has been translated up 1 unit.

7 0
3 years ago
Read 2 more answers
Please answer this question
Nataliya [291]
Change in temperature = initial - final.
5 -0 = 5.
5°F represents the change in temperature.

hope this helps :) (please mark brainliest!)
6 0
3 years ago
Fill in the blanks to make the equation true. (x−9)(x+2)=x^2________ −18
Andrews [41]

Answer:

x² - 7x - 18

Step-by-step explanation:

Remember to follow FOIL.

First, multiply the first. (x)(x) = x²

Next, multiply the second. (x)(2) = 2x

Then, multiply the third. (-9)(x) = -9x

Finally, multiply the last. (-9)(2) = -18

Combine like terms: x² + 2x - 9x - 18

x² - 7x - 18

x² - 7x - 18 is your answer.

~

8 0
3 years ago
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Maria bought a blouse on sale for 30% off. The sale price was $28.76. What was the original price? Write an equation to model th
Snowcat [4.5K]

Answer:

The equation is <u>sale price</u>=p and the original price is $41.09.

                              .70

Step-by-step explanation:

sale price= (1-.30)p      

<u>sale price=.70</u>p

.70              .70

<u>sale price</u>=p                  

.70

<u>28.76</u>=p

.70

$41.09=p

7 0
3 years ago
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