pool empties at a rate of 12 quarts every 2 minutes. how many hours and minutes will it take to completely empty the pool which contains 12,000 gallons? (1 gallon

By using right tailed test the following results are obtained

a) The test is a right tailed test

b) P value = 0.0681

c) We fail to reject the null hypothesis

What is right tailed test?

Suppose there is a null hypothesis. If the alternate hypothesis claims that the true value of the parameter is greater than the null hypothesis, then the test used is called right tailed test.

a) Since p > 0.8, right tailed test is used

b) The corrosponding z is z = 1.49

P value = p(z > 1.49)

            = 1 - p(z [tex]\leq[/tex] 1.49)

            = 1 - 0.9319

            = 0.0681

c) 0.0681 is greater than a = 0.05

So we fail to reject the null hypothesis [tex]H_0[/tex]

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The probability that only one of the counters is white is the fraction 6/11 or 0.55 considering that the first take is without replacement

The probability for an event without replacement implies that once an item is taken, then we do not replace it back to the sample space before taking a second item.

Given that there are 11 counters in the bag, with 5 of them being white;

The probability of taking a white counter = 5/11

The probability of not taking a white counter = 6/11

The probability of taking a white counter first without replacement and not taking it the second time = (6/11) × (5/10)

The probability of not taking a white counter first without replacement and taking it the second time = (5/11) × (6/10)

The probability that only one of the counters is white = (6/11) × (5/10) + (5/11) × (6/10)

The probability that only one of the counters is white = (30/110) + (30/110)

Therefore, probability that only one of the counters is white = 6/11 [by simplification]

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Answer:

$45600.00

Step-by-step explanation:

Year is synonm to annual

As there is 12 months in a year

we times $3,800 by 12 which is $45600.00

Pls give me brainliest

pls:(

The number 0. 7653765376537653 is rational number.

What is rational and irrational number?

 Perfect squares like 4, 9, 16, 25, and other integers are included in the category of rational numbers. Surds like 2, 3, 5, 7, and so forth are examples of irrational numbers. Rational numbers have whole integers for both their numerator and their denominator, meaning that their denominator is not equal to zero. All whole numbers, fractions, and decimal numbers that finish or repeat are considered rational numbers. Any number that is not rational—that is, any number that cannot be divided by a fraction—is considered to be irrational.

Here the given number is

=>0.7653765376537653

It consists repeated numbers and we can also convert into fraction value.

Hence it is a rational number.

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The least number of people who want to take both geometry and algebra is 145

The inclusion-exclusion principle is a counting method that generalizes the well-known approach to determining the number of members in the union of two

The inclusion - exclusion principle is used here

let the number that will take both algebra and geometry be x

200 = 170 - x + 175 - x + x

200 = 345 - x

x = 354 - 200

x = 145

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The least number of people who want to take both geometry and algebra is 145 graders

The intersection of sets can be denoted using the symbol '∩'. the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.

The number of graders that want to take geometry is 170

The number of graders that want to take algebra is 175

A ∩ G= n(A) + n(G) -( AUB)

=175+170-200

= 345-200

= 145

Therefore the least number of people that will want to do both geometry and algebra is 145

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Answer: The answer is (264)×(261)(525), because (264)×(261) are the possibilities for choosing 4 red cards and 1 black card from a deck of 52 cards, while (525) are the possibilities for choosing 5 cards from a deck of 52 cards.

So, your first solution is almost correct. On why your second solution is wrong, you'll have to explain your thought process.

Step-by-step explanation:

If in 2020, registration was $285.The  percentage that the summer camp registration decrease in 2021 is 5.26%%.

Using this formula to find the decrease in percentage

Decrease in percentage = [2020 registration cost -  (2020 registration cost - 2020 summer registration)] / 2020 registration cost

Let plug in the formula

Decrease in percentage = [285 - (285 -15)] /285

Decrease in percentage =285 - 270 / 285

Decrease in percentage = 15 /285

Decrease in percentage =0.0526× 100

Decrease in percentage =5.26%

Therefore 5.26% is the decrease in percentage .

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The number of degree of freedom for reading the t values is 60 , the correct option is (c) .

In the question ,

it is given that ,

number of items in the sample = 61 items

the mean of the sample is given as 23 ,

we have to find the degree of freedom(df) ,

the degree of freedom(df) can be solved using the formula

degree of freedom(df)  [tex]=[/tex] (number of observations) - 1

Substituting the values in the formula ,

we get ,

degree of freedom = 61 - 1

= 60

Therefore , The number of degree of freedom for reading the t values is 60 , the correct option is (c) .

The given question is incomplete , the complete question is

In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is ?

(a) 22

(b) 23

(c) 60

(d) 61

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The quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1 is x^2 + 4x + 3 = 0.

We know that the standard form of a quadratic equation is given by;

y = f(x) = ax² + bx + c = 0

We are given:

The roots of the quadratic equation are -3 and -1.

The leading coefficient of the quadratic equation is 1.

We need to find the quadratic equation.

The roots of the quadratic equation are -3 and -1.

So, (x + 3) and (x + 1) will be the factors.

Since the leading coefficient of the quadratic equation is 1.

So, the quadratic equation is given by;

1 * (x + 3) * (x + 1) = 0

x (x + 1) + 3 (x + 1) = 0

x^2 + x + 3x + 3 = 0

x^2 + 4x + 3 = 0

So, the required quadratic equation is x^2 + 4x + 3 = 0.

Thus, the quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1 is x^2 + 4x + 3 = 0.

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The size of the outer ring of the pizza = 25.12 inches

The amount of cheese covering the entire top of the pizza =  50.24 sq inches.

A small pizza has a diameter of 8 inches.

A Pizza has a circular base structure whose diameter, d = 8 inches.

Radius of the pizza, r = d/2 = 8/2 = 4 inches.

The size of the outer ring of the pizza means we talk about the circumference of the pizza.

The size of the outer ring of the pizza = 2πr

If we take the value π = 3.14 ( round off figure)

Then  the size of the outer ring of the pizza = 2×3.14×4=25.12 inches.

The amount of cheese covering the entire top of the pizza means we talk about entire top area of the pizza.

The amount of cheese covering the entire top of the pizza = π × r^2

= 3.14 ×4×4

The amount of cheese covering the entire top of the pizza =  50.24 sq inches.

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Answer:

at middle of a,b,c

Step-by-step explanation:

........

Answer: Angle 3 is a vertical angle of angle 1 and will always be identical to what angle 1 is.

Angle 2 and angle 4 are supplementary angles to angle 1 and will always be the difference between 180 and what angle 1 is.

For example, if angle 1 were 45 degrees, angle 3 would also be 45 degrees, and angles 2 and 4 would be 180-45 = 135 degrees.

Step-by-step explanation:

1. The entire expression is the product of 4 factors.

2. In this context, 1/3 is a coefficient.

Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors simply refers to numbers which can be multiplied together to get another number.

In Mathematics, a coefficient can be defined as a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.

Based on the given expression 1/3bwh, we can logically deduce that there are four (4) factors and these include the following:

In conclusion, 1/3 is considered as a coefficient of bwh.

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If  the actual amount is 67 marbles.  the percent error is 37%.

Using this formula to find the percent error

Percent error =   Actual value -Estimated value/ Estimated value

Where:

Actual value = 67

Estimated value = 42

Let plug in the formula

Percent error = 67 - 42 /67

Percent error = 25/67 × 100

Percent error = 37%

Therefore the percent error is 37%.

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The number of gallons of water can an elephant drink per day is 50 gallons.

Given that, an elephant can’t drink up to 6400 fluid ounces of water a day.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, there are 128 fluid ounces in 1 gallon.

Now, 6400/128

= 50 gallons

Hence, the number of gallons of water can an elephant drink per day is 50 gallons.

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The $3.00 for 2 liters of Sprite and $16 for 1 gallon of raspberry sorbet indicates that the minimum amount Rafael should sell a cup of punch.

A profit is a financial gain from the revenue that exceeds the sum of expenses and the taxes.

The ingredients required to make 12 cups of punch are;

1 gallon of raspberry and 2 liters of Sprite

Amount he pays for 2-liter of Sprite = $3.00

Amount paid for a quart of sorbet = $4.00

The minimum amount to be charged so as to make a $10 profit is found as follows;

4 quarts is equivalent to one gallon

Therefore;

1 quart of sorbet costs $4

4 quart of sorbet = 1 gallon of sorbet costs 4 × $4 = $16

The cost of 2-liters of Sprite = $3.00

The cost of 12 cups of punch is therefore;

$3 + $16 = $19

The revenue when a profit of $10 is made is therefore;

Revenue = $19 + $10 = $29

The selling price per cup, p, is therefore;

p = $29 ÷ 12  $2.42

The price per cup to make a profit of $10 is approximately $2.42≈

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There are infinite linear functions that are parallel to y = 2x passing through these two points.

The slope-intercept representation of a linear function is presented by the equation shown as follows:

y = mx + b

The coefficients of the the linear function, along with their meaning, are described as follows:

What defines two parallel linear functions is that they have the same slope.

The slope of the line y = 2x is of 2, hence we will have an infinity number of linear functions in the following format:

y = 2x + b.

In which b is the y-intercept of the function.

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Answer:

Slope = -1/6

Step-by-step explanation:

Answer:

the correct one is Slope = -1/6

We know that the surface area of cuboid with sides L, B and H is given by,

S = 2 (LB + BH + LH)

Given that the sides of cuboid are x cm, 5 cm and 7 cm.

So L = x cm and B = 5 cm and H = 7 cm.

Given that the surface area of the cuboid is 142 square cm.

According to information the suitable equation for this is:

2(5x+7*5+7x) = 142

Now solving the equation we get,

5x+35+7x = 142/2 = 71

12x+35 = 71

12x = 71-35

12x = 36

x = 36/12

x = 3

Hence the value of x is 3 cm.

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Answer:

x=15

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

See image below

The total cost of this television at the store is $193.30

Given,

A $165 television has indeed been increased 110% in price at an electronics store. When Trevor buys the TV, he is bound to pay 6.5% in sales tax.

A $165 television has been increased 110% in price at an electronics store.

When Trevor buys the TV, a 6.5% sales tax is due.

Consequently, this television will cost in the store a total of

The total cost of the TV is equal to 165 dollars multiplied by 1.10 and 1.065.

⇒ $165*1.10*1.065

  = $193.30

TVs cost a total of $193.30.

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The ordered pair that shows the dilation of the square ABCD, located at A(-10, -2), B(-5, -2), C(-5, -7), and D(-10, -7), by a scale factor of 5 about the origin is option B

B. A'(-50, -10), B'(-25, -10), C'(-25, -35), and D'(-50, -35)

A dilation transformation is in which the sizes of the sides of the pre image or original figure is changes proportionately to get the image.

The vertex of the preimage ABCD are; A(-10, -2), B(-5, -2), C(-5, -7), and D(-10, -7)

A dilation by a scale factor of 5 is found using the formula;

(x, y) Dilation by scale factor of 5 about the origin ⇒ (5·x, 5·y)

Therefore, the coordinates of the square ABCD following a dilation by a scale factor of 5 is therefore;

A'(5 × -10, 5 × -2), B'(5 × -5, 5 × -2), C'(5 × -5, 5 × -7), and D'(5 × -10, 5 × -7)

Which gives;

A'(-50, -10), B'(-25, -10), C'(-25, -35), and D'(-50, -35)

Checking the lengths of the sides gives;

AB = 5

A'B' = -25 - (-50) = 25

BC = 5

B'C' = -10 - (-30) = 25

CD = 5

C'D' = -25 - (-50) = 25

AD = 5

A'D' = -10 - (-35) = 25

Therefore, the lengths of the sides of A'B'C'D' are 5 times the lengths of the sides of the square ABCD

The correct option is therefore option B

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Answer:

I think you mean 6^16

if so, the right answers are

the 3rd one (6^-4)^-4

the 4th one (6^-2)^-8

last answer (6^8)^2

Step-by-step explanation:

you have to apply the Powers of a Powers Property:

(a^n)^m=a^(nm), basically you're multiplying the exponents (the powers)

Hope this helps.

The rate of change in the submarine's elevation is given by 7.87 feet per second approximately.

Given that the initial depth of the submarine = 198 feet

The final depth of the submarine = 316 feet.

The submarine takes 15 seconds to reach the final depth to initial depth.

The elevation of the submarine = (316-198) = 118 feet

So the rate of change = 118/15 = 7.87 feet/second (approximately)

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Answer:

1.5 cm

Step-by-step explanation:

Triangles WTY and UTV are similar. Segment WT corresponds to UT and segment YT corresponds to VT. Thus we can create an equation knowing that the ratio of WT to UT must equal to the ratio of YT to VT.

WT = 7.5 cm

UT = ?

YT = 15 cm

VT = 12 cm

WT / UT = YT / VT

7.5 / UT = 15 / 12

UT = 6

WT = WU + UT

7.5 = WU + 6

WU = 1.5

The missing term is 18.

From given details :        3:7= : __ 42

           can be converted to fraction if you

           use 1  as the denominator:                =   3 / 7  =  42 / 1

                                                                       = 3 x 42  /  7 x 1  =  126 / 7

                                                                      =   18

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The fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that, the ratio of battleships to destroyers in the navy is 10:15.

battleships : destroyers = 10:15

The fraction of the total number of boats is the number of destroyers is,

=15/10+15

=15/25

The ratio of battleships to destroyers in the navy is 10:15. The number of battleships is 0.56 times the number of destroyers.

Thus, the fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.

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The income from operations of your business is $2,12,440.

Given:

Your restaurant has a gross profit of $274,232, administrative expenses of $29,147 and marketing expenses of 32,645.

Total expenses = administrative + marketing expenses

= $29,147 + $32,645

= $61792

Income = gross profit - total expenses

= 274232 - 61792

= $2,12,440

Therefore the income from operations of your business is $2,12,440.

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Answer: oh ok

Step-by-step explanation:

well  you know just ask your mom