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3 years ago

I don’t understand number 5

Mathematics

1 answer:

yarga [219]3 years ago

4 0

Multiply what’s on the outside to the inside, the variable is always a lower case letter such as x,

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Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 38 miles per day. The mileage per day

Montano1993 [528]

Answer: 0.1824

Step-by-step explanation:

Given : The mileage per day is distributed normally with

Mean : $\mu=110\text{ miles per day}$

Standard deviation : $\sigma=38\text{ miles per day}$

Let X be the random variable that represents the distance traveled by truck in one day .

Now, calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 132 miles per day.

$z=\dfrac{132-110}{38}\approx0.58$

For x= 159 miles per day.

$z=\dfrac{159-110}{38}\approx1.29$

Now by using standard normal distribution table, the probability that a truck drives between 132 and 159 miles in a day will be :-

$P(132$

Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824

6 0

3 years ago

Which three steps are correct when solving this quadratic equation by completing the square?

guajiro [1.7K]

Answer:

<em><u>E</u></em>

Step-by-step explanation:

transferring the constant

making the coefficient of x^2 to be 1

then add the square of half the coefficient of x

take the square root of both sides

5 0

3 years ago

Please answer please answer

inessss [21]

I attached a photo of my work below; I just screenshotted the photo you provided. I apologize in advance for any mistakes, it’s 1 am and I’m in need of some sleep. However, I hope it helps otherwise. Have a good one!

8 0

2 years ago

Read 2 more answers

The simplest form of the expression 4m-17/m^2-16 + 3m-11/m^2-16 has ____in the numerator and___ in the denominator.

lara31 [8.8K]

For this case we have the following expression:
$\frac{4m-17}{m^2-16} + \frac{3m-11}{m^2-16}$
Since the denominator is equal, then we can add the numerator.
We have then:
$\frac{(4m-17) + (3m-11)}{m^2-16}$
Adding similar terms we have:
$\frac{(4m+3m) + (-17-11)}{m^2-16}$
Rewriting we have:
$\frac{7m - 28}{m^2-16}$
Doing common factor in the numerator we have:
$\frac{7(m - 4)}{m^2-16}$
Factoring the denominator we have:
$\frac{7(m - 4)}{(m-4)(m+4)}$
Canceling similar terms we have:
$\frac{7}{m+4}$
Answer:
The simplest form of the expression has 7 in the numerator and m+4 in the denominator.

3 0

3 years ago

Angle 1 and Angle 2 are complementary angles. The measure of angle 1 is 42 degrees. The measure of angle 2 is 3x degrees. Find t

natka813 [3]

Answer:

x=16

Step-by-step explanation:

complementary means 90 degrees so

42 +3x = 90

3x=48

x=16

8 0

2 years ago