Bobs hardware sells buckets in five different sizes. The tiny bucket holds 5 quarts, the small holds 10 quarts, the medium holds 20 quarts, and the large holds 40 quarts. How many quarts will the extra-large bucket hold?

Answer: C

Explanation:

Formula for SA of a rectangular prism: \(SA = 2(lw + lh + wh)\)

Plug in length, width, and height

\(SA = 2((4.2)(14.1)+(4.2)(9)+(14.1)(9))\)

\(SA = 447.84\) ft

The expression that represents a perfect cube is expressed as: 6 × 6 × 6

A perfect cube, x, is such that x × x × x = x³ = ∛x.

Thus, we have:

6 × 6 × 6 = 216

Cube root of 216 = ∛216

∛216 = 6

We can then conclude that the expression that represents a perfect cube is: 6 × 6 × 6

Learn more about perfect cube on:

https://brainly.com/question/13161078

Answer:

6x6x6

Step-by-step explanation:

The standard normal distribution is a type of probability distribution that is often used in statistics.

It is a bell-shaped curve that is symmetrical around its mean of zero and has a standard deviation of one. To find the areas under the standard normal curve, we can use a table or calculator. The table is called the standard normal distribution table or z-table. a. The area left of Z = -1.04: To find the area left of Z = -1.04, we can use the z-table. The z-score of -1.04 corresponds to a cumulative area of 0.1492. Therefore, the area left of Z = -1.04 is 0.1492.

Therefore, the area between Z = -0.34 and

Z = 1.03 is 0.8498 - 0.3665

= 0.4833. Answer: 0.4833 (rounded to four decimal places) d. The area between Z = -1.93 and

Z = 3.43:To find the area between

Z = -1.93 and

Z = 3.43, we need to find the cumulative areas for each of these z-scores and then subtract the smaller from the larger. The z-score of -1.93 corresponds to a cumulative area of 0.0274, and the z-score of 3.43 corresponds to a cumulative area of 0.9998. Therefore, the area between Z = -1.93 and

Z = 3.43 is 0.9998 - 0.0274

= 0.9724. Answer: 0.9724 (rounded to four decimal places)

To know more about probability visit:-

https://brainly.com/question/32117953

#SPJ11

Answer:

1st side= 4m

2nd side= 8m

3rd side= 12m

Step-by-step explanation:

Let the first, second and third side of the triangle be a, b and c meters respectively.

a= b -4 -----(1)

c= 3a -----(2)

Perimeter of triangle

= a +b +c

= 24

a +b +c= 24 -----(3)

From (1): b= a +4 -----(4)

Subst. (2) and (4) into (3):

a +(a +4) +3a= 24

3a +a +a +4= 24

5a +4= 24

5a= 24 -4

5a= 20

Divide both sides by 5:

a= 20 ÷5

a= 4

Substitute a= 4 into (4):

b= 4 +4

b= 8

Substitute a= 4 into (2):

c= 3(4)

c= 12

Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.

4: you would divide the popcorn between them. Each student would get 1.25 bags of popcorn.

5. The fraction 10/60 does not represent this situation because it would need to be 60/10. You are dividing 60 by 10, not 10 by 60.

6.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Total hours for biweek or 2 weeks

Hourly pay=$18.25

Total home pay

Atleast $255 per week you can easily acquire 1000 also by toil

The amount of blood that a cylindrical tube hold will be 0.23 cubic dm.

Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be

V = π r²h cubic units

A cylindrical tube 14.5 cm high and 4.5 cm in diameter is used to collect blood samples. Then the radius of the cylinder will be

r = d / 2

r = 4.5 / 2

Then the volume of the cylinder will be

V = π r²h

V = 3.14 (4.5 / 2)² × 14.5

V = 3.14 × 20.25 × 14.5 / 4

V = 921.98 / 4

V = 230.5 cubic cm

V = 0.23 cubic dm

The amount of blood that a cylindrical tube hold will be 0.23 cubic dm.

More about the volume of the cylinder link is given below.

https://brainly.com/question/12763699

#SPJ4

The number of days took by Rita to travel the distance of 1,875 miles is 4.5 days.

We will learn how to calculate the value of such a unit from value of a multiple and thus the value of a multiple from value of a unit using the unitary method.

Now, as per the given question;

The total day taken by Rita to cover 1,250 miles is 3.

Thus,  1250 miles ----> 3 days

Let number of days taken by Rita to cover 1875 miles is 'x'.

So, 1875 miles ----> x

Then, the total distance will be

1875×(3) = 1250x

x = (1875×3)/1250

x = 4.5 days

Therefore, the total time taken by Rita to finish the distance of 1,875 miles is 4.5 days.

To know more about the unitary method, here

https://brainly.com/question/23423168

#SPJ4

Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

The numbers π, √8 , and 3.5 in the correct order from greatest to least is√8, π, 3.5 . we have the correct order: √8, π, 3.5. The correct answer is B

To determine the order, we need to compare the magnitudes of the numbers.
First, we compare √8 and π. The square root of 8 (√8) is approximately 2.83, while the value of π is approximately 3.14. Therefore, √8 is smaller than π.

Next, we compare π and 3.5. We know that π is approximately 3.14, and 3.5 is greater numbers than π.

Finally, we compare √8 and 3.5. Since 3.5 is greater than √8, we have the correct order: √8, π, 3.5.

To know more about numbers visit;

brainly.com/question/24908711

#SPJ11

Answer:

C is the correct answer.

Step-by-step explanation:

\(f(x) = 2x + 2\)

\(f(2) = 2(2) + 2 = 4 + 2 = 6\)

Solution:

Given the function below

Applying the general cosine function formula

The amplitude is

The period is

Hence, the period is 6 and amplitude is 2

The graph of the function is shown below

The fence surrounds a square yard with an area of 64 square meters. We first have to find length of fence and then multiply it by itself.

Given that it took 48 square meters of lumber to build the fence, and the fence is 1.5 meters tall, we can calculate the area of the yard inside the fence. To do this, we need to determine the total length of the fence. If we assume that the fence is built around a square yard, then the length of each side of the yard will be equal to the total length of the fence divided by 4.

Let's call the length of each side of the yard x. Then, the area of the yard inside the fence is x * x, or x^2. The total length of the fence is 4 * x. Since the fence is 1.5 meters tall, the total area of the lumber used to build the fence is 4 * x * 1.5, or 6x. This is equal to 48 square meters, so we have the equation:

6x = 48.

Solving for x,

x = 8.

Therefore, each side of the yard is 8 meters long.

Area of the yard inside the fence = 8 * 8 = 64 square meters.

This means that the fence surrounds a square yard with an area of 64 square meters.

Learn more about area here:

https://brainly.com/question/12509806

#SPJ4

Answer:

V = 408    SA = 378

Step-by-step explanation:

To find the volume, you need to first find out the area and multiply it by overall length.

A = 1/2 (6)(8)

= 24

Volume = 24 x 17

= 408

Surface Area

SA = Front and Back + Right Side + Left Side + Bottom

= 2 [1/2 (6) (8)] + (17 x 10) + (3 x 8) + (17 x 8)

= 2 (24) + 170 + 24 + 136

= 48 + 170 + 24 + 136

= 378

Answer:

48

Step-by-step explanation:

Simplify 80% to 0.8

Simplify=48

We could find the price of the item now by multiplying 80% by 60.

Answer:  here is your answer

Step-by-step explanation:

(9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.

(9.3 × 106) + (1.8 × 10^4)

(9.3 × 106) + (0.018 × 10^6)

(9.3 + 0.018)× 10^6

(9.318)× 10^6

scientific notation

(93.18E+5)

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

To know more about Magnitude:

https://brainly.com/question/31022175

#SPJ2

Emika's monthly budget is $60.

A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.

Let Emika's cell phone bill budget be represented with x.

In order to determine his monthly budget, divide $60 by 120%

x = $60 / 120%

x = $60 / 1.20

x = $50

To learn more about percentages, please check: https://brainly.com/question/25764815

There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

Learn more about Combination here

brainly.com/question/13387529

#SPJ4

Answer:

20 percent off depends on the original cost: Take the original number and divide it by 10. Double your new number. Subtract your doubled number from the original number. You have taken 20 percent off! For $30, you should have $24.

Step-by-step explanation:

The graph that matches sine function y = 2 sin (x – π) + 2 is:

On a coordinate plane, a function has a maximum of 4 and minimum of 0. It completes one period at 2 pi. It decreases through the y-axis at (0, 2).

A graph is a pictorial representation of data. Graphs are usually plotted in a cartesian plane having x and y directions

The graph in the given problem is a graph showing sin function representing sinusoidal waves.

The given equation: y = 2 sin (x – π) + 2

substituting x = 0

y = 2 sin (0 – π) + 2

y = 2 sin (-π ) + 2  (in radians)

y = 2 * 0 + 2

y = 0 + 2

y = 2

Therefore the ordered pair is correct for the graph (0, 2)

Learn more about sine graphs here:

https://brainly.com/question/2491845

#SPJ1

Answer: The answer is D (the last option)

Step-by-step explanation:

Answer:

x=19°

Step-by-step explanation:

Angles  ∡DBE ≅ ∡ACD= 3x  reason - angles with parallel arms

Angles ∡ADC and ∡ADB=95° are supplemental angles which means

∡ADC + ∡ADB=180° => ∡ADC = 180° - ∡ADB= 180°-95°= 85°

In the triangle we have ∡ADC + ∡ACD + ∡CAD = 180° =>

85 + 3x + 2x = 180 => 85 + 5x = 180 => 5x= 180-85 => 5x=95

x=95/5 => x=19°

Good luck!!!

Answer  -3

Step-by-step explanation:

Answer:

80 students applied

Explanation:

24 ÷ 30 × 100

= 0.8 × 100

= 80

i hope this helps! :D do comment if you need any clarification.

Answer:

80 students

Step-by-step explanation:

if 30%=24

100%=?

100%/30%*24

=80

Two similar figures have a ratio of areas 72:32. The ratio of similarity between the two figures is 3:2.

The ratio of areas of two similar figures is equal to the square of the ratio of their corresponding side lengths. Let's assume the ratio of side lengths is a:b.

Given: Ratio of areas = 72:32

The ratio of areas is the square of the ratio of side lengths. So, we have:

(a/b)^2 = 72/32

Simplifying the equation:

(a/b)^2 = 9/4

Taking the square root of both sides:

a/b = √(9/4)

a/b = 3/2

Hence, the ratio of side lengths of the two similar figures is 3:2.

Since similarity is based on corresponding side lengths, the ratio of similarity is the same as the ratio of side lengths. Therefore, the ratio of similarity between the two figures is 3:2.

This means that for every unit increase in the length of the corresponding side in the smaller figure, the corresponding side in the larger figure increases by 1.5 units.

In summary, the ratio of similarity between the two figures is 3:2, indicating that they are scaled versions of each other with the smaller figure being 3/2 times smaller in each dimension compared to the larger figure.

Hence, the ratio of similarity is 3:2.

For more such questions on similarity , click on:

https://brainly.com/question/31529028

#SPJ8

Type I error (also called a false positive) occurs when a null hypothesis is rejected when it is actually true. The probability of committing a Type I error is denoted by the symbol alpha (α), and is typically set at a certain level (e.g., 0.05 or 0.01) depending on the significance level desired for the hypothesis test.

Type II error (also called a false negative) occurs when a null hypothesis is not rejected when it is actually false. The probability of committing a Type II error is denoted by the symbol beta (β). The power of a statistical test is equal to 1 minus the probability of a Type II error (i.e., power = 1 - β).

Therefore, the statement that is true regarding the probability of Type I and Type II errors is that they are complementary to each other. That is, as the probability of a Type I error decreases (by setting a lower significance level), the probability of a Type II error generally increases (i.e., the power of the test decreases). Conversely, as the probability of a Type II error decreases (by increasing the sample size or effect size), the probability of a Type I error generally increases. It is important to strike a balance between controlling these two types of errors, depending on the specific goals and context of the research or hypothesis test.

Learn more about probability here:

https://brainly.com/question/32004014

#SPJ11

Answer:

33 small mugs

Step-by-step explanation:

Given:

Total number of mugs sold by Jo = 132

One quarter of the mugs were small. The rest were large.

To find: Number of small mugs sold by Jo

Solution:

Number of small mugs sold by Jo = \(\frac{1}{4}\) (Total number of mugs sold by Jo)

Therefore,

Number of small mugs sold by Jo \(=\frac{1}{4}(132)=33\)

Let's find each side first

Using the distance formula

B(-2,-4), C(3, 3),

C(3, 3), D(-2, 3)

D(-2, 3) B(-2,-4)

Now, to find the angles, use the cosine formula

BD = c = 7

BC = d = 8.6

CD = b =5

Using the formula;

substitute the values into the formula and evaluate

Take the cos ⁻ ' of both-side

To find angle C, we will use the cosine formula

substitute the values and evaluate

Take the cos ⁻ ' of both-side

To find the third side

B + C + D = 180° (sum of angle in a triangle)

36 + 54 + D = 180°

90 + D = 180°

D = 180° - 90°

D = 90°