When two pumps are used, they can fill a tank in 60 minutes. When the first pump is used alone, the tank will be filled in 150 minutes. When x represents the time it takes the second pump to fill the tank when used alone, the situation is represented by this equation: 15 += How long would it take the second pump, working alone, to fill the tank? . OA 75 minutes B. 90 minutes Ос. 100 minutes OD 120 minutes​

Answer:

x + 8

Step-by-step explanation:

Let the missing number be x

According to question,

x + 8

The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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Answer:

b

Step-by-step explanation:

Answer:

a. X is the number of DVDs a customer rents.

Step-by-step explanation:

The distribution states that:

0.05 = 5% probability a customer rents no DVDs

0.49 = 49% probability a customer rents 1 DVD

...

0.03 = 3% probability a customer rents 5 DVDs.

Thus, the random variable X is the number of DVDs a customer rents, and the correct answer is given by option A.

Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

Allie has 100 marbles. She wants to put them equally into 10 bags. How many marbles will go into each bag?

100 divided by 10 = 10

Answer:

D

Step-by-step explanation:

I had this question on a test and D was right

it's worded the exact same way

Answer:

a.

providing a force to propel the snowboarder down a slope to gain speed

The guy above me is a fool

Step-by-step explanation:

The number of people at the movie is 340

Let's represent the total number people at the movie as "x".

We know that the number of adults in the movie is 187 and the percentage of children is 45%

So we can write:

187 = (1 - 45%) * x

This gives

187 = 0.55x

To solve for x, we can divide both sides by 0.55:

x = 187/0,55

Evaluate

x = 340

Hence, the number of people is 340

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Answer:

y=10

Step-by-step explanation:

Step-by-step explanation:

ok first you do that 524+223+322_7 1060 that's the problem ok

Hope this help!!!

Have a nice day!!!

Answer: Rhombus

Step-by-step explanation:

In essence, it is a square that has been tilted. All sides will be the same length, but not all angles will be 90 degrees. Parallel sides define an object. Additionally, opposite angles measure equally.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

0.

Step-by-step explanation:

When you multiply 2*0, it will be equal to 0. 0+5= 5.

Answer:

x=12

Step-by-step explanation:

3x=2x+12

3x-2x=12

x=12

The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.

Let j represent Jayda's age.

Since Jayda is older than her 12-year-old sister, we can write the inequality:

j > 12

Thus, the inequality states that Jayda's age (j) is greater than 12.

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(a) I can't help you with using your calculator for this part, but if you have some familiarity with your device you can check your answer with mine.

The mean is simply the sum of all the house costs divided by the number of houses:

(75k + 75k + 150k + 155k + 165k + 203k + 750k + 755k)/8 = 291k

So the population mean is $291,000.

The population standard deviation is the square root of the population variance. To get the variance, you take the sum of all the squared differences between the cost and the mean cost, then divide that sum by the number of houses. That is,

[(75k - 291k)² + (75k - 291k)² + … + (755k - 291k)²]/8 = 581,286k

Note that the variances is measured in square dollars. Then the standard deviation is

√(581,286k) ≈ $762,421.1

(b) The median is just the price in the middle. There were 8 houses sold, so there are 2 "middle" prices. The median is the average of these:

(155k + 165k)/2 = 160k = $160,000

(c) Yes, the mode is the data that shows up most frequently. This happens at the lower end, with $75,000 appearing twice.

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

rise/run

Step-by-step explanation:

rise meaning the y value, run meaning the x value

Answer:

a) 32 students

b) 10 students

c) 84students

Step-by-step explanation:

Let the total number of student be n(U) = 141

Those  who take French and German = n(F∩G) = 15

Those who take French and Spanish = n(F∩S) = 24

Those who take German and Spanish = n(G∩S) = 6

Those who take all the three subjects = n(F∩G∩S) = 5

Spanish student n(S) = 67

French students n(F)= 66

German students n(G) = 58

Find the venn diagram attached for clarification

a) From the diagram, number of student that took french only = x = n(G'∪S'∪F)

n(G'∪S'∪F) = n(F) - (10+5+19)

n(G'∪S'∪F) = 66 - 34

n(G'∪S'∪F)  = 32

Hence 32 students took only French

b) Number of students that take French AND German but not Spanish is represented using the set notation

n[(F∩G)∪S']

This is the intersection of F and G excluding Spanish. From the diagram, the value is 10. Hence;

n[(F∩G)∪S'] = 10

Hence 10 students took French AND German but not Spanish.

c)  Before we can get the number of students that take French OR German but not Spanish, we need to get those that take German only first;

y = n(G∪S'∪F') = n(G) - (10+5+1)

n(G∪S'∪F') = 58 - 16

n(G∪S'∪F') = 42 students

Number of students take French OR German but not Spanish = x + y + 10

Number of students take French OR German but not Spanish = 32 + 42 + 10 = 84 (Note that students that studied French only and German only are inclusive compared to b above that they are excluded)

Hence 84 students took French OR German but not Spanish.

Answer: b

Step-by-step explanation: because u add all the students

Answer:

0

Step-by-step explanation: Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20y' to each side of the equation.

15x + 20y + -20y = 0 + -20y

Combine like terms: 20y + -20y = 0

15x + 0 = 0 + -20y

15x = 0 + -20y

Remove the zero:

15x = -20y

Divide each side by '15'.

x = -1.333333333y

Simplifying

x = -1.333333333y

Answer:

3

Step-by-step explanation:

The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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Answer:

x^3 - 5x^2 - 11x - 21

Step-by-step explanation:

(x - 7) (x^2 + 2x + 3)

use distributive property, basically means multiply

x^3 + 2x^2 + 3x​ - 7x^2 - 14x - 21

add like terms

x^3 - 5x^2 - 11x - 21

Answer:

2 with 3 left over

Step-by-step explanation:

17 divided by 2 is 14 with 3 remaining

Answer:

2 pies

Step-by-step explanation:

Hey there!

\(x-5<-2\)

Add 5 to both sides.

\(x-5+5<-2+5=x<3\\x<3\text{(ANSWER)}\)

Hope this helps!

\(\text {-TestedHyperr}\)

The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.

∠1 + 88 = 180°( angles on a straight line)

∠1 = 180 - 88 which is 92°

∠3 = 64°( corresponding angles are equal)

∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)

∠2 + 92° + 64° = 180

∠2 = 180 - 92 - 64

∠2 = 24°

∠4 + 81 + ∠3 = 180 ( angles on a straight line)

∠4 + 81 + 64 = 180

∠4 = 180 - 64 -81

∠4 = 35°

∠5 = 81°( alternate angles are equal)

In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.

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