Maria has a metal candleholder, without a top, that has a height of 3 cm and a radius of 3 cm. How much metal was used to make the holder? 12Pi cm2 12Pi cm3 16Pi cm2 27Pi cm2

1042 I just took the test I can't remember if that is the right number but it is the largest number

To predict how many out of 485 students enjoy biking on the weekends, set up a proportion and solve for the missing value.

Three out of five students enjoy biking on the weekends, so to predict how many out of 485 students would say they enjoy biking, we can set up a proportion.

3 students out of 5 enjoy biking

Set up a proportion: 3/5 = x/485

Cross-multiply to find x: 5x = 3 × 485

Solve for x: x = (3 × 485) / 5

x = 291 students would be predicted to enjoy biking on the weekends.

Answer:

95% confidence interval for the population mean weight of adult female golden retrievers is [53.01 pounds , 56.78 pounds].

Step-by-step explanation:

We are given that the weights, in pounds, of a sample of 13 adult female golden retriever dogs :

59.0, 54.1, 53.7, 51.6, 57.5, 58.7, 58.0, 53.8, 48.9, 53.9, 51.6, 55.9, and 57.4.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

                         P.Q. = [tex]\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean weight =  [tex]\frac{\sum X }{n}[/tex]  = 54.9 pounds

            s = sample standard deviation =  [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]  = 3.12 pounds

           n = sample of female = 13

           [tex]\mu[/tex] = population mean weight

Here for constructing 95% confidence interval we have used One-sample t test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-2.179 < [tex]t_1_2[/tex] < 2.179) = 0.95  {As the critical value of t at 12 degree

                                          of freedom are -2.179 & 2.179 with P = 2.5%}  

P(-2.179 < [tex]\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.179) = 0.95

P( [tex]-2.179 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X -\mu}[/tex] < [tex]2.179 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-2.179 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X +2.179 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] =  [tex]\bar X \pm 2.179 \times {\frac{s}{\sqrt{n} } }[/tex]

                                             = [ [tex]54.9 - 2.179 \times {\frac{3.12}{\sqrt{13} } }[/tex] , [tex]54.9 +2.179 \times {\frac{3.12}{\sqrt{13} } }[/tex] ]

                                             = [53.01 pounds , 56.78 pounds]

Therefore, 95% confidence interval for the population mean weight of adult female golden retrievers is [53.01 pounds , 56.78 pounds].

Step-by-step explanation:

Putting value of x

Y = 1/2 ( - 4) - 6

Y = - 2 - 6

Y = - 8

( - 4, - 8)

Answer:

8 square units

Step-by-step explanation:

Draw vertical and horizontal lines, dividing the triangle into 9 equally sized smaller triangles.  4 of the smaller triangles are shaded, so the area of the square is 4/9 the area of the triangle.

A = 4/9 (½ (6)(6))

A = 8

Answer:

15 feet of water spread

Step-by-step explanation:

Area of the circular pattern is 706.50 sq. feet

Area = A = π r^2 = (3.14)* r^2

706.50 = (3.14)* r^2

r^2 =  706.50 / 3.14

r^2 =  706.50 / 3.14

r = root  (225)

r = 15 feet

Answer:

15 feet

Step-by-step explanation:

The area of a circle is pi*r^2, and we're using 3.14 as pi, so we get: area= 3.14 r^2

We plug 706.50 into the equation and get:

706.50 = 3.14 r^2

Divide both sides by 3.14:

225 = r^2

Square root both sides:

15 = r

Find common denominators.

7/8 = 49/56

2/7 = 16/56

Subtract.

49/56 - 16/56 = 33/56

The fraction cannot be simplified any further.

Best of Luck!

Answer:

Relative frequency= subtotal count - total count

Step-by-step explanation:

Answer:

D.Relative frequency= subtotal count / total count

Answer:

34 ft. tall

Step-by-step explanation:

Your first step should to draw a diagram. When you do that, your diagram should look like a right triangle, the leg, or the distance from the firetruck to the building, (we'll call this a) should be 30ft. and the hypotenuse, or the ladder (we'll call this c), should be 45ft.

Now we have a visual so it'll be easier.

We know that this problem is a right triangle and we know that to solve for a missing side of a right triangle you use pythagorean theorem: a^2+b^2=c^2

We know one leg 'a' and the hyp. 'c'  and we just need to find 'b' the other leg (aka the building):

Plug in numbers and simplify:

30^2+b^2=45^2

900+b^2=2025

b^2=1125

≈33.54 OR 34 ft. tall

Answer:

about 33.5 feet tall

Step-by-step explanation:

use pythagorean's theorem:

a^2+b^2=c^2

plug in values:

30^2 + b^2 = 45^2

(we know the ladder extends diagonally so 45 is the hypotenuse meaning we plug it in for c)

rearrange the equation:

b^2= 45^2 - 30^2

b^2= 2025 - 900

b^2 = 1125

b= [tex]\sqrt{1125} \\[/tex]

b= 33.5

Answer:

(30,784)  and (58,0),(2,0)

Step-by-step explanation:

The vertex is (30,784)

The X-intercept is (58,0),(2,0)

The Y-intercept is (0,-116)

Answer:

C

Step-by-step explanation

You have to do the rainbow move which is basically multiplying

4x*2x, 4x*3, -2*2x, -2*3

which then simplified would equal to 8x^2+8x-6

Answer:-5

Step-by-step explanation:

It would be 5 degrees Fahrenheit. It is a positive number.

Answer:

64 single-shot espressos

Step-by-step explanation:

Let's say that the cafe sold x single-shot espressos. The total number of espressos sold was 80, and 80% of that total 80 were single-shot. So, we have the equation:

x = 80% * 80

Remember that % just means "out of 100". So, 80% = 80/100:

x = (80/100) * 80 = 6400/100 = 64 single-shot espressos

Hope this helps!

Answer:

64

Step-by-step explanation:

80% of 80 were single-shots

80/100 × 80

64

Answer:

The correct answer is 10%.

Step-by-step explanation:

The middle school's baseball team the badgers won 20 games last year.

This year they won 22 games.

Increase in the number of wins = 22 - 20 = 2.

We need to find the percentage increase of games as compared to the last year. That is given by dividing the increase in wins divided by the wins last year multiplied by 100.

Percentage increase as compared to the last years is given by [tex]\frac{2}{20}[/tex] × 100 = 10%

There is an increase of 10% in the number of wins in this year as compared to the last year.

Answer:

141 3/8

Step-by-step explanation:

First find the volume by multiplying pi, the radius squared, and the height. Pi is 3.14. The radius is half the diameter, so it would be 2. 2^2 is 4. The height is 15. 3.14*4*15=188.5 Then multiply 3/4 and 188.5 to get your answer. 141.375 or 141 3/8.

Answer:

Her Original PRICE WAS $117.375

Step-by-step explanation:

If the sale price is 55% of the original price of the sweatshirt, the sale price is $78.25.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that, Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price of the sweatshirt is $78.25.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

The sale price of the sweatshirt is,

sale price = 55% of the current price

sale price =(55/100)× $78.25

sale price = $43.03

Thus, if the sale price is 55% of the original price of the sweatshirt, the sale price is $78.25.

Learn more about the percentage here:

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Answer:

26 %

Step-by-step explanation:

you just go from 80 and count backwards all the way to 56 and count how many spaces or tally's that was and then you got your answer.

Answer:

200\cdot25-84\cdot\frac{91}{12-65}\cdot\frac{8412}{1.000}-2000000\cdot46512

Step-by-step explanation:=−9.30227818×1010

Answer:

50

Step-by-step explanation:

Hope this helped

:)

Answer: A

Step-by-step explanation: Because you have a dot in the middle and it is very equal

Answer: the distribution is symmetrical.

Step-by-step explanation:

Answer:

x = 68°

Step-by-step explanation:

Answer:

=>9.4966×10^2

Step-by-step explanation:

9.22×103

=>949.66

in standard form

=>9.4966×10^2

Answer:

3x(x+4)

Step-by-step explanation:

3x^2+12x

3x^2 = 3*x*x

12x = 2*2*3*x

We can factor out 3x

3x (x+2*2)

3x(x+4)

Answer:

36

Step-by-step explanation:

4+4x8

Remember PEMDAS: We have to multiply first.

4+(4x8)

4x8 = 32. Now we add.

4+32 = 36

Answer:

The answer is 36

Step-by-step explanation:

4 X 8 = 32 +4 = 36

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.

102.8% = 1.028

2. Divide by the decimal.

[tex]56 \div 1.028 = 54.47[/tex]

3. Round it to the nearest tenth.

54.47 rounds to 54.5.

To find the original number when increased by 2.8%, we set up and solve an equation. The original number to the nearest tenth is approximately 54.4.

To find the original number, we can set up the equation:

x + 0.028x = 56

Simplifying gives:

1.028x = 56

Dividing both sides by 1.028 gives:

x = 56 / 1.028 ≈ 54.41

So, the original number to the nearest tenth is approximately 54.4.

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SPJ2

Answer:-4

Step-by-step explanation:

Answer:

The answer is C) (x − 1)^2 + (y + 3)^2 = 4

Step-by-step explanation:

The radius is the distance between the center and the point on the circle.

Center: (1, −3); Point: (1, −1)

Distance formula: d =  square root of {(x2 - x1)^2 + (y2 - y1)^2}

r = square root of  {(1 − 1)^2 + (−1 + 3)^2 }

r =  square root of {0 + 4 } = 2

(x − h)^2 + (y − k)^2 = r2 ----> (x − 1)^2 + (y + 3)^2 = 4

Hope this isn't confusing and helps. I also know its right because I just did this on USA Testprep.

The formula for the volume of a pyramid is ...

length × width × height

_________________    = V

                3