The mean daily demand for water, in millions of gallons, in a local city is 300, with a standard deviation of 30. Every morning the water treatment plant produces 380 million gallons of water. What is the probability that the water will run out on a given day, if the mean daily demand of water is normally distributed?

Answers

Answer 1

The probability that the water will run out on a given day is  0.0038.

What is the probability that water will run out?

To find the probability that the demand for water on a given day exceeds the supply of 380 million gallons, we use the standard normal distribution to standardize the value of 380 million gallons as follows:

z = (x - µ) / σ

where;

x = of 380 million gallons,

µ is the mean daily demand of water = 300 million gallons,

σ is the standard deviation = 30 million gallons.

Substituting the given values:

z = (380 - 300) / 30

z = 2.67

Using a calculator, the probability that a standard normal random variable is greater than 2.67 is 0.0038.

Therefore, the probability that the water will run out on a given day is  0.0038.

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Related Questions

What is the image point of (-7, 4) after translation left 3 units and up 5 units

Answers

Answer:

(-2,1)

Step-by-step explanation:

up and right is adding to the current point so (-7+5,4)

down and left is subtracting to the current point so (-2,4-3)

If you combine them, you get: (-7+5,4-3)-which is (-2,1)

A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 33 8
Female 66 16

Since P(male)×P(fail) = and P(male and fail) = , the two results are___ so the events are___

A group of students at a high school took a standardized test. The number of students who passed or failed

Answers

Since, P(male)*P(fail)= 0.33 and P(male and fail) = 0.33 , the two results are equal and independent.

What is Probability?

The possibility of outcome of any event is found by probability. as for an example whenever we toss a coin in the air, then what is the possibility that we get a head? Only based on possible outcomes we can answer this question. It is that part of events which deals with the results of random events. We can basically call it as prediction of any event that is based on study of previous record or the type and no of possible outcome.

Probability of happening of an event= Total no of favorable outcomes/                          Total no of outcomes

Here in this question;

P(male/fail)= P(male and fail)/P(fail)

                 = \(\frac{8/123}{(8+16)/123}\)

                 =\(\frac{8}{24} = \frac{1}{3} = 0.33\)

P(male) = \(\frac{33+8}{123} = \frac{41}{123} =\frac{1}{3} = 0.33\)

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Solve:
3/5 + 7/10 - 1/2=

Answers

Answer:

-10.7

Step-by-step explanation:

tThe answer is -10.7. What you do is 3/5+7/10 then, you subtract 12 which gives your the answer

I don't really understand this, how to set it up etc and i cant figure out how to get the actual answer. Im sorry i make no sense

I don't really understand this, how to set it up etc and i cant figure out how to get the actual answer.

Answers

Answer:

i also can't at all

Step-by-step explanation:

This is hard for me

PLEASE FAST WILL GIVE BRANILY
A 12-foot tall tent pole is secured to the ground using a piece of rope 15 feet long from the top of the tent pole to the ground. If the tent pole makes a 90-degree angle with the ground, determine the number of feet along the ground from the tent pole to the rope.

3 feet
9 feet
19 feet
81 feet

Answers

Answer:

3 feet

Step-by-step explanation:

To solve this problem, we can use the Pythagorean theorem. Let's call the distance from the tent pole to the rope x. We can set up the following equation:

x^2 + 12^2 = 15^2

Solving for x, we get:

x = sqrt(15^2 - 12^2)

x = sqrt(9)

x = 3

Therefore, the distance from the tent pole to the rope is 3 feet.

What is the range of f(x) = 3* + 9?
O {yly<9}
O {yly>9}
O {yly> 3}
O {yly<3}

Answers

On solving the provided question, we can say that - the range \(|x + 1| = 0\) \(x + 1 = 0 = > x = -1\) and \(y = 3\)

What is range?

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

\(|x + 1| = 0\\x + 1 = 0\\x = -1\)

\(y = |-1 + 1| + 3\\y= 0 + 3\\y = 3\)

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Put the following in ascending order:

45%,
0.6, 1


Answers

Answer:

i just need points lol

Step-by-step explanation:

Answer:

45%,1,0.6 may be answer

I need help with this

I need help with this

Answers

Answer:

  (x -14)² +(y -7)² = 1²

Step-by-step explanation:

You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.

Equation of a circle

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...

  (x -14)² +(y -7)² = 1²

Which property can be used to show that if 3a = 4b, then 4b = 3a?

Multiple choice question.

A)
Symmetric Property of Equality

B)
Reflexive Property of Equality

C)
Substitution Property of Equality

D)
Transitive Property of Equality

Answers

Answer:

Hello your answer should be A symmetric property

Step-by-step explanation:

hope this helps

Symmetric property of equality to show that 3a = 4b, then 4b = 3a?

What is symmetric property of equality?

The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other

We have the following information available from the question is:

We have to determine the which property can be used to show that if 3a = 4b, then 4b = 3a

Now, According to the question:

3a = 4b

4b = 3a (both are equal)

This property is used to simplify the equations, to reverse the equations, and also for proofs in numerical and non-numerical logic.

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a) Read section 1.5 in the Yakir textbook. If you were a teacher and had 30 students in your class and wanted to know the class average on the first quiz, would you use a parameter or a statistic

Answers

Answer:

Parameter

Step-by-step explanation:

Required

Parameter of Statistic

From the question, we understand that the teacher is to calculate the class average.

To calculate the class average, the teacher will use the mean function/formula, which is calculated as:

\(Mean = \frac{\sum x}{n}\)

Generally, mean is an example of a parameter.

So, we can conclude that the teacher will use parameer

4-[x]=1 absolute value equation

Answers

Answer: x=-3, x=3

Step-by-step explanation:

Answer:

4-[x]=1

-4.    -4

-[x]=-3

x=3

Define a variable, write an equation and solve: An investment increased 30% before taxes. $200 was withdrawn to pay taxes and the investor has $1500 remaining. What was the original investment?

Answers

Answer:

$1307.69

Step-by-step explanation:

Let the original investment be x.

Note that a 30% increase in a value is equal to multiplying a value by 130% and a withdrawal is to take out money. The final amount is $1500. Let’s write the equation with the information we have.

Equation:

130%x - 200 = 1500

(130/100)x = 1700

x = 1700(100/130) = $1307.69

I hope this helps! :)

y
4
Solve for y.
Then, find the side lengths of the
largest triangle.
Fill in the green blank.
8
X
2
+
2
8
y
y
[?]
X
Enter
Help
Skip

y4Solve for y.Then, find the side lengths of thelargest triangle.Fill in the green blank.8X2+28yy[?]XEnterHelpSkip

Answers

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

I need this answer NOW pls help
A linear function contains the following points.

What are the slope and y-intercepts?

O A. the slope is -3.
the y-intercept is (0, -1)
O B. O A. the slope is 3
the y-intercept is (-1, 0)
O C. the slope is 1/3
and the y-intercept is (0, -1)
O D.the slope is 3.
the y-intercept is (0, -1)

I need this answer NOW pls helpA linear function contains the following points.What are the slope and

Answers

Answer:

its samanthas ocupation

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I just took the test and i got this question right with that answer.

Plz help me I am timed plz don’t guess

DeArah made 88, 90, and 92 on her math tests this grading
period. What is the mean of her math test scores?

OA) 89
OB) 90
OC) 91
OD) 92

Answers

Answer:

B. 90

Step-by-step explanation:

Add them all, divide by 3.

88 + 90 + 92 = ?

270 = 270

270/3 = 90

Answer: 90

Step-by-step explanation:

You just add up all the numbers then divide by how many numbers there are.

( 88 + 90 + 92 = 270 ) There are 3 numbers so take 270 / 3 = 90.

Amelia has 120 ten-dollar bills and 75 twenty-dollar bills. What is the ratio of ten-dollar bills to twenty-dollar bills?
• Do not compare the money values.
• Simplify your answer.
• Enter your answer as a fraction.
Provide your answer below:
3
E FEEDBACK
MORE INSTRUCTION
SUBMIT
< Previous
Next

Answers

Answer:

12/3.6 Because you divide 120 by 10 and you get 12 then you divide 75 by twenty and get 3.6 I think hope this helps

For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.

ASAAP NEED HELLPPP

For each of the shapes below, state whether it is a regular polygon, anirregular polygon or neither.ASAAP

Answers

Answer:

regular: Eirregular: A, B, Dneither: C

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

Regular polygon

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

Polygon

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

Circle

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

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Y=-6x-3 fill in the table using this function rule

Y=-6x-3 fill in the table using this function rule

Answers

Answer:

y=-33 (y=6(-5)-3

y=-9

y=-3

y=3

The graph of the absolute value parent function, f(x)=|x|, is stretched horizontally by a factor of 3 to create the graph of g(x). What function is g(x)? A. g(x)=3|x| B. g(x)=|3x| C. g(x)=|x+3| D. g(x)=|1/3x|

Answers

Answer:

D. g(x)=|1/3x|

Step-by-step explanation:

apex

Help me find the answer for this question

Help me find the answer for this question

Answers

The graphs of the functions f(x) and g(x) are attached with the answer.

What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.The set X is called the domain of the function and the set Y is called the codomain of the function.Functions whose domain are the non - negative integers, known as sequences, are often defined by recurrence relations.Given a function as \(${\displaystyle f\colon X\to Y}\) its graph is, formally, the set -

       \(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)

Given are the functions f(x) and g(x).

The given functions are -

f(x) = \($100(\frac{3}{5})^{x}\)

g(x) = \($100(\frac{2}{5})^{x}\)

Refer to the graphs of the function f(x) and g(x).

Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.

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Help me find the answer for this question

helppp
A cylinder has volume 45 cm³. What is the volume of a cone with the same radius and height? O 15 cm³ O 22.5 cm³ O 90 cm³ 135 cm³​

Answers

Answer:

correct option is O 15 cm³.

Step by step solved:

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Since the cylinder has a volume of 45 cm³, we can write:

45 = πr²h

We can rearrange this equation to solve for h:

h = 45 / (πr²)

Now, we need to find the volume of a cone with the same radius and height. The formula for the volume of a cone is V = (1/3)πr²h.

Substituting the value of h that we found above, we get:

V = (1/3)πr²(45 / (πr²))

Simplifying this expression, we get:

V = 15

Therefore, the volume of the cone with the same radius and height as the cylinder is 15 cm³.

So, the correct option is O 15 cm³.

Solution is in the attachment!! :)

helppp A cylinder has volume 45 cm. What is the volume of a cone with the same radius and height? O 15

choose all answer that's are correctall trapezoids are quadrilateralsall rhombuses are parallelogramall rectangles are squaresall squares are parallelogram

Answers

EXPLANATION

The right options are:

(1) All trapezoids are quadrilaterals because trapezoids are four-sided polygons, so they are all quadrilaterals.

(2) All rhombuses are parallelogram because they are quadrilaterals (plane figure, closed shape, four sides) with four equal-length sides and opposite sides parallel to each other.

(4) All squares are parallelogram because they fulfill criteria of being a rectangle because all angles are right angle and opposite sides are equal.

if a model of an airplane is 1/16 scale (1 in.= 16ft), how many inches long would the model be if a certain airplane were 48 ft long? ​

Answers

Answer:

3inchs

Step-by-step explanation:

So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3

Multiply. Write the answer in simplest form.
5/6 x 2/9

Answers

Answer:

5/27

Step-by-step explanation:

Determine whether the event is impossible, unlikely, as likely as not, likely, or certain. You roll two number cubes and get a sum of 17. ,Likely , Certain , Unlikely ,Impossible ,as likely as not

Answers

The event is impossible

Here, we want to determine the possibility

In a number cube, we have 6 faces

The numbers are 1,2,3,4,5 and 6

At the maximum, we will have the two number cubes showing up 6

Thus, the highest sum we can have is 6 + 6 which is 12

That means the possibility of getting the sum 17 does not exist

Q: Wilma estimates that she’ll drive about 18,000 miles during the year. The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighborhood is $2.72. Locate the error in her calculations, and select the correction.

A: Wilma made a mistake in step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.

Answers

The mistake is made in the second step. The correct steps are given below.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Wilma estimates that she’ll drive about 18,000 miles during the year.

The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighbourhood is $2.72.

Locate the error in her calculations, and select the correction.

Step - 1

18000 miles/year

18000 miles / 12 months = 1500 miles/month

Step 2

1500 miles/month

1500 miles/month / 24 miles per gallon = 62.5 gallons/month

62.5 gallons/month

Step 3

(62.5 gallons/month) x ($2.72/gallons) = $170 cost/month

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seven rooms in a house need to be painted. each room can be painted white or yellow.

Answers

To paint , 7 rooms in white or yellow, 128 possible outcomes are there.

What is the probability?

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

There are seven rooms in the house and each can be painted either yellow or white.

And probability of total number of different outcomes

= total number of options

So, total number of different outcomes = 2⁷

 Total number of different outcomes = 128

Therefore the total number of outcomes are 128.

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The complete question is;

A house has seven rooms. Each room can be painted white or yellow. How many possible outcomes are there?

Solve.
-3.5 x 0.2=

1. -7.0
2. -0.7
3. 0.7
4. -3.3

Answers

the answer is 2. -0.7

f(x)= x^2. what is g(x)?

A. g(x) = 1/4x^2
B. g(x) =1/4x^2
C. g(x) =4x^2
D. g(x) = 1/2x^2​

Answers

Answer: g(x)=x/3^2

Step-by-step explanation:

We are given that:

f(x)=x²

We have to find g(x)

Since, we are given that g(3)=1

Hence, we will proceed by the options.

1. g(x)=

at x=3 g(x)=1/9

Hence, this option is incorrect.

2. g(x)=3x²

at x=3, g(x)=27

Hence, this option is incorrect.

3. g(x)= x²/3

at x=3, g(x)=3

Hence, this  option is incorrect.

4. g(x)=

at x=3, g(x)=1

Hence, this option is correct

Polly had 5 times as many red balloons as many red balloons as blue ones. She had 18 all together. How many of her balloons were blue ones?

Answers

Answer: 3 were blue

Step-by-step explanation:

Blue  + Red  =   18....so.....

B  +  5B  =  18

6B  =  18

B   =18 /   6    =    3  blue

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What was the purpose of the office of war administraton? during this time period, where did religion become a significant aspect of the response to globalization? select all that apply. HELP!!!Look at the diagrams below. Which diagram shows the proper relationship betweenthe biosphere and an ecosystem? (A) Drawing A (B) Drawing B (C) Drawing C 8 1/6 - 3 5/6 subtracting/regrouping fractions Use the scalar curl test to test whether F(x, y) = (3x + 3y)i + (3x + 2y)] in conservative and hence is a gradient vector field. SHOW WORK. Use the equation editor (click on the pull-down menu next to an electric plug().choose "View All" and then select MathType at the bottom of the menu). Continuing with the previous question, compute SF-d7, where C is the curvey=sin(x) starting at (0, 0) and ending at (2t, 0). Use the Fundamental Theorem of Calculus for integrals to compute your line integral. SHOW WORK. Use the equation editor (click on the pull-down menu next to an electric plug ( ), choose "View All" and then select MathType at the bottom of the menu). Solve for x and y. PLEASE HELP!! WILL MARK BRAINLIEST!! Which expression is equivalent to 27 + 45? Question options:1) 8(3 + 6)2) 8(19 + 37)3) 9(3 + 5)4) 9(18 + 36) Question 88a) What is the area of the figure below? Select the best answer. In which parasite do all stages of the life cycle (including the hatching of its eggs) occur on the hide of the host animal?. A gold mine that allows highly acidic water to flow out of the mine into a nearby river, killing aquatic life, is in violation of which federal law? a. the superfund act b. clean air act c. occupational health and safety act a. Write an inequality that represents the numbers that are not solutions of x+3.8>11.3 .Inequality: Question 2b. Graph the inequality from part (a). How do antibodies physically hinder some antigens from exerting their detrimental effects? What is the most likely conclusion the botanist can make about the virus that is found to be infecting her orchids is 5/3 an integer? The expression (x 4)2 is equivalent to x2 16 x2 + 16 x2 8x + 16 x2 + 8x + 16 fin the value of x inthe figure below Which type of savings institution is owned and operated by the same people who have accounts in it?A. Savings and loan institutionB. Commercial bankC. Savings bankD. Credit union suppose you old short 30 shares of red acre industries at $31 per share. you cover your position when the price hits $29 per share. the initial margin is 75% and the maintenance margin is 55%. red acre industries pays a dividend of $0.25 per year. what is the equity in your position when you cover your short sale? Anatomy is to _____ as physiology is to _____.a. function; formb. form; structurec. structure; functiond. structure; forme. growth; form MULTIPLE CHOICE QUESTION The youth of the Shandong province are formed because (check all that apply)A.they resent special treatment of Chinese converts to ChristianityB.they opposed the Foreign invadersC. they have seen their culture erased