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Water use in the summer is normally distributed with a mean of 311.4 million gallons per day and a standard deviation of 40 mill

r-ruslan [8.4K]

Answer: 0.965

Step-by-step explanation:

Given : Water use in the summer is normally distributed with

$\mu=311.4\text{ million gallons per day}$

$\sigma=40 \text{ million gallons per day}$

Let X be the random variable that represents the quantity of water required on a particular day.

Z-score : $\dfrac{x-\mu}{\sigma}$

$\dfrac{350-311.4}{40}=0.965$

Now, the probability that a day requires more water than is stored in city reservoirs is given by:-

$P(x>350)=P(z>0.965)=1-P(z$

We can see that on comparing the above value to the given P(X > 350)= 1 - P(Z < b) , we get the value of b is 0.965.

4 0

3 years ago

Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be use

Mekhanik [1.2K]

Answer: independent variable: time (t). Dependent variable: distance (d).

Step-by-step explanation: an independent variable is a variable whose variation does not depend on that of another. In the given problem, the independent variable is time, because time will pass by no matter what (without depending in any other variable). The dependent variable in this case is the distance, because how far Jillian goes, depends on how much time she expends walking and jogging.

8 0

3 years ago

Read 2 more answers

MARKING BRAINLIST! PLEASE HELP!

Leviafan [203]

Answer:

$\boxed {\boxed {\sf C. \ 4 \ inches}}$

Step-by-step explanation:

Circumference is the perimeter of a circle. It can be found using the formula:

$c= \pi d$

However, we are given the radius.

The radius measures from the center to the edge of the circle.
The diameter measures from edge to edge through the center.
So, the diameter is twice the radius, or d=2r

The formula can be rewritten as:

$c= \pi 2 r$

We know the circumference is 25.12 inches.

$25.12 \ in = \pi 2r$

Let's round pi to 3.14

$25.12 \ in = (3.14) 2r$

We want to solve for the radius, so we must isolate it.

Divide both sides by 3.14 because the inverse of multiplication is division.

$25.12 \ in / 3.14= (3.14 ) 2r / 3.14$

$8 \ in = 2r$

Divide both sides by 2.

$8 \ in / 2 = 2r/2$

$4 \ in = r$

The radius of the disc is <u>4 inches.</u>

6 0

3 years ago

HELP PLEASE!!! Thanks!

Irina18 [472]

Answer:

2) $\frac{\sqrt{77}}{11}$

3) 5√2

Step-by-step explanation:

Simplest radical form of an expression is the expression in radical so that there are no more square roots, cube roots, 4th roots, etc left to find, after rationalising the denominator ( if needed ).

2. Here the given expressions,

$\frac{\sqrt{7}}{\sqrt{11}}$