The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.1 gallons. A previous study found that for an average family the variance is 5.76 gallons and the mean is 19.5 gallons per day. If they are using a 90% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.

The equation the line is, y-3x=1

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-1,-2) and, (3,10)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y+2)/(x+1)=(10+2)/(3+1)

=>y+2=3x+3

=>y-3x=1

Hence, the required equation is,  y-3x=1

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The amount of cherries bought by the Harrison is 62.5 pounds.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

The amount of cherries bought by the Harrison should be more than the cherries bought by the Liam which is 5/8. Thus, The amount of cherries bought by the Harrison is more than the 5/8 or 62.5 pounds of cherries percent.

The cherries bought by the Liam is 5/8 pounds

The cherries bought by the Harrison is more than the Liam.

As in the problem the number of cherries bought Harrison (let) should be more than the cherries bought by the Liam (let ). Therefore,

H > L

As we know that the number of cherries bought by the Liam is 5/8 pounds. Keep the value of  in the above equation, we get,

H > 5/8

This equation can be rewritten in the percentile form as,

h > (5/8) * 100 %

h > (5/2) * 25 %

h > 62.5 %

Hence, The amount of cherries bought by the Harrison is more than 5/8 pounds or 62.5 pounds of cherries percent.

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Answer: p^2 + q^2 = r^2

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

P = a (leg)

q = b (leg)

r = c (Hypotenuse)

Answer:

p^2+q^2=r^2 (the third option)

Step-by-step explanation:

The Pythagorean theorem states that each side not the hypotenuse squared equals the hypotenuse squared.

Answer:

x = 16

Step-by-step explanation:

adjacent angles in a parallelogram are supplementary

3x + 5 + 9x - 17 = 180

12x - 12 = 180

12x = 192

x = 16

Answer:

it's 50 g

Step-by-step explanation:12-3=9 so u divide 450 by 9 and u get 50[][][][][][]brainliest?

Answer:

answer is D

Step-by-step explanation:

as we need to cancel the square in b

so we add square root on both sides and square root of 2.56 is 1.6

Answer:

C and D

Step-by-step explanation:

Given

b² = 2.56 ( take the square root of both sides )

b = ± [tex]\sqrt{2.56}[/tex] = ± 1.6

Then solutions are

b = - 1.6 → C

b = 1.6 → D

The approximate length, in feet, of lights that she needs to create one triangle is 64

This is an approximate estimate as the exact length would depend on the specific measurements of the roof line. However, if the roof line is a typical house roof and the string lights are hung horizontally across to connect the ends of the roof line, creating a triangle, the approximate length of lights needed would be the hypotenuse of the triangle (the longest side) which is equal to the square root of (leg 1^2 + leg 2^2).

A typical house roof is approximately 40 feet wide and 20 feet tall, which creates a right triangle with legs of 40 and 20. The hypotenuse of this triangle (the length of lights needed) would be approximately 64 feet (the square root of (40^2 + 20^2) = 64).

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According to question we can say that the approximate percentage of the increase is 13.2352%.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

Based on the given conditions, formulate: (77 —68)/ 68

e sum or difference:9/68 = 0.132352

0.132352 x100/100

=13.2352%

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Answer:

sure

Step-by-step explanation:

Answer:

okey I'm not sure but

I can try to help u...

Answer:

1. b > 12

2. To draw it on the number line, draw a circle around 12, and draw an extending line going to the left of 12.

Step-by-step explanation

Just learn your maths! lol

Answer:

b > 12

Step-by-step explanation:

If Jupiter is about 5.2 Astronomical Units (AU) from the Sun and Neptune is about 30.1 AU from the Sun, Neptune is about 5.79 times far from the Sun as Jupiter.

Therefore the answer is 5.79.

To find how many times as far from the Sun Neptune is as Jupiter, we need to divide the distance from the Sun to Neptune by the distance from the Sun to Jupiter.

Neptune is about 30.1 AU from the Sun and Jupiter is about 5.2 AU from the Sun, so:

= Distance from the Sun to Neptune / Distance from the Sun to Jupiter

= 30.1 / 5.2

= 5.79

So, Neptune is about 5.78 times as far from the Sun as Jupiter.

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Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{27}{32}[/tex] × [tex]\frac{16}{27}[/tex] ← cancel the 27 and 16, 32 by 16

= [tex]\frac{1}{2}[/tex]

Answer:

[tex]6(x-10)(x+9)[/tex]

Step-by-step explanation:

First, make A equal one by factoring out the greatest common factor, 6. This makes the new expression [tex]6(x^{2} +x-90)[/tex]. Then, factor the remaining polynomial by finding two numbers that multiply to -90 and add to 1. These two numbers are -10 and 9. So, add each term to x and then multiply to get the final answer, [tex]6(x-10)(x+9)[/tex].

Answer:

d. 135

Step-by-step explanation:

[tex] {m}^{2} = 3...(given) \\ \therefore \: {( {m}^{2} )}^{3} = {3}^{3} \\ \therefore \: m^{6} = 27 \\ \therefore \: 5m^{6} = 27 \times 5 \\ \therefore \: 5m^{6} = 135[/tex]

Answer:

2,3 and 5

Step-by-step explanation:

Answer:

The answer for the first one is 5 2/5

The answer for the second one is 3 1/7

The last answer is 3

Step-by-step explanation:

The whole section is 9/4 unit.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Mr.Parrillo’s class has adopted a section of a highway to keep clean.

1/3 of the section is 3/4.

To find the length of the whole section:

Multiply by 3.

So,

The length of the whole section = 3 (3/4)

The length of the whole section = 9/4

Therefore, 9/4 unit is the length.

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Answer:

61 divided by 90

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: I would go with B.

Step-by-step explanation:

X<6. It’s looking for numbers that are smaller than 6 basically, so the arrow should go to the left. The circles also are important. A closed circle means greater than or equal to or vise verse, and the open circle just looks like these < >.

The equation of the line is 3x + y - 11 = 0.

The slope-intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

First we find the slope of the line y=-3x+10 by placing it into slope-intercept form:

y = -3 x + 10

Therefore, the slope of the line is m= -3

Now since the equation of the line with slope m passing through a point

(x₁ ,y₁) is y-y₁ = m(x-x₁)

Here the point is (1,8) and slope is m= -3, therefore, the equation of the line is:

y - 8 = -3(x - 1)

y - 8 = -3x +3

3x + y - 11 = 0

Hence, the equation of the line is 3x + y - 11 = 0.

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Answer:

Step-by-step explanation:

==================================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(L) = ML/LK

cos(L) = 24/25

The diagram is below.

The side KM = 7 is not used at all.

The response to the given domain range questions is [go f oh]. (9) = 5(18^2 - 1 )

Domain and range. A function's authorised range of values is known as its domain. The x values in a function like f make up this set (x). A function's range is the collection of values that it can take as input. When we enter an x value, the function outputs this set of values.

f(x) = x^5 – 1, g(x) = 5x^2, and h(x) = 2x

[g o f o h](9)=g(f(h(9))

Let's find h(9) first

h(x)= 2x

h(9)= 2(9) =18

Now plug in 18 for h(9)

[g o f o h](9)=g(f(h(9)) = g(f(18))

now we find f(18)

f(x) = x^5 – 1, f(18)= 18^5 -1

Now we plug in 18^5 -1 for f(18)

[g o f o h](9)=g(f(h(9)) = g(18^5 -1)

Plug it in g(x)

g(x)= 5x^2

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Answer:25800 for 1 hour

Step-by-step explanation:

ewasfzafsagds

Answer:

the answer is c: 17/2

Step-by-step explanation:

The solution in interval notation b ∈ (-∞ , -7)

-5 times b is no less than 35.

5b  ≥ 35

n order to isolate the variable in this linear inequality, we need to get rid of the coefficient that multiplies it.

-[tex]\frac{5b}{5} = \frac{-35}{5}[/tex]

This can be accomplished if both sides are divided by .

Notice that the inequality sign has changed.

b ≤ -7

We need to reduce this fraction to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

In our example, this is the common factor:5

b ∈ (-∞ , -7)

We have already found the solution to the inequality, but since we want to represent the solution in interval notation, we have changed it.

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Answer:

the length would be the same as the other side so the length would be 19.5 and the width 15

Answer:

A) -2 - i√3 , -2 + i√3

Step-by-step explanation:

Solve using quadratic formula

x² + 4x + 7 = 0

The Almighty Formula

= -b ± √b² - 4ac/2a

Where ax + bx² + c = 0

From the above question

a = 1, b = 4, c= 7

Hence,

-4 ± √4² - 4 × 1 × 7/2 × 1

-4 ± √16 - 28/2

=( -4 ± √-12)/2

Since

b² - 4ac < 0

We have two complex roots

Simplifying

( -4 ± √-12)/2

= -4/2 ± √-12/2

= -2 ± 2√3i/2

= -2 ± √3i

Therefore,

-2 - √3i , -2 + √3i

or

-2 - i√3 , -2 + i√3

Option A , is the correct answer