Taz packs 15 sweaters in boxes. Each box can hold 4 sweaters.
How many boxes of sweaters does Taz pack?
Write a mixed number for the number of boxes of sweaters Taz packs.
Sweaters 15 each box can hold only 4 sweaters how many boxes does taz pack

The height of the hexagonal-based pyramid is approximately 101.61 inches.

To find the height of the hexagonal-based pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) × Base Area × Height

In this case, the base of the pyramid is a regular hexagon, and we have the side length (s) and apothem (a) given.

The base area of a regular hexagon can be calculated using the formula:

Base Area = (3√3/2) × s²

Let's calculate the base area first:

Base Area = (3√3/2) × (6 in)²

Base Area = (3√3/2) × 36 in²

Base Area ≈ 93.53 in²

Now, we can rearrange the volume formula to solve for the height:

Height = Volume / ((1/3) × Base Area)

Height = 3168 in³ / ((1/3) × 93.53 in²)

Height = 3168 in³ / (31.177 in²)

Height ≈ 101.61 in

Therefore, the height of the hexagonal-based pyramid is approximately 101.61 inches.

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Answer:

0.

Step-by-step explanation:

The slope of the line is defined as the change of elevation of the line (\(\frac{rise}{run}\)).

In this case, there is no change in the slope as the line continues across (0 , 2), meaning that the slope of the line is 0.

If the slope of the line is 1, then the line will have (rise 1/run 1), meaning that it will have a linear slope. (See attached image).

Vertical lines have infinite slope, and so can also be called undefined as it moves neither left or right, giving it no run.

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Answer: 17.15

Step-by-step explanation:

6.2+10.95=17.15

Answer:

gghhhhfhfuubf

Step-by-step explanation:

Answer:

Step-by-step explanation:

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:

55,500 cm².

Given:

To find the surface area of the solid figure represented by the given net, we first have to identify the shape of the figure. By analyzing the net, we can see that the figure is a rectangular prism with a length of 65 cm, a width of 40 cm and a height of 250 cm. To find the surface area of a rectangular prism, we use the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values, we get:

Steps:

2(65)(40) + 2(65)(250) + 2(40)(250) = 13,000 + 32,500 + 10,000 = 55,500 cm²

Get:

Therefore, the surface area of the solid figure represented by the given net is 55,500 cm².

Answer:

600 cm².

Step-by-step explanation:

The net provided represents a three-dimensional solid figure. The surface area of this figure can be calculated by finding the area of each individual face and adding them together. The net includes six faces, each of which have different dimensions. The areas of these faces are: 65 cm², 250 cm², 40 cm², 90 cm², 90 cm², and 65 cm². Adding them together, we get a total surface area of 600 cm². Therefore, the surface area of the solid figure represented by the given net is 600 cm².

Option(B) is the correct answer. The answer is - Adding data from a student who is 154 cm tall and weighs 69kg.

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Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

Answer: 24

Step-by-step explanation:

Subtract them. Then, 23.54 would be closest to 24.

Answer:

21.51.....approximately 22

Given:

A number line.

To find:

The correct values for points A, B, C and D.

Solution:

From the given number line is it clear that there are three marks between any two consecutive integers which divide the number line between those integers in 4 equal parts.

It means, one mark = \(\dfrac{1}{4}\).

In the number line, point A is at -2. So,

\(A=-2\)

D is 1 mark below 0.

\(D=-\dfrac{1}{4}\)

C is mark below -1.

\(C=-1-\dfrac{1}{4}\)

\(C=-(1+\dfrac{1}{4})\)

\(C=-1\dfrac{1}{4}\)

B is 3 units below -1.

\(B=-1-3(\dfrac{1}{4})\)

\(C=-1-\dfrac{3}{4}\)

\(B=-(1+\dfrac{3}{4})\)

\(B=-1\dfrac{3}{4}\)

So, \(A=-2,B=-1\dfrac{3}{4},C=-1\dfrac{1}{4},D=-\dfrac{1}{4}\)

Therefore, the correct option is A.

Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

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Answer:

54

Step-by-step explanation:

20% of 15 is 3 so Quentin is 18 years old

If Quentin is one thrid his Aunt's age that means his aunt is three times older.

18 * 3 = 54

So his Aunt is 54 years old

The age of Quentin's aunt is 54 years if the Quentin is one third the age of his aunt if we solve by making the Quentin's Aunt age as variable x.

An equation is a formula that expresses the equality of variables.

let the age of the aunt is x years.

According to the question the age of Quentin is x/3 years.

The age of Quentin's  sister is x/3*100/120

=5x/18

We have been given the age of Quentin's sister is 15 years.

So, 5x/18=15

=x=54 years

Hence the age of aunt is 54 years old.

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Answer:

15,840 feet

Step-by-step explanation:

5,280*3 = 15840

Since she runs 3 miles each morning, and 1 mile is 5,280,

then you multiply 5,280*3

Answer:

  6%

Step-by-step explanation:

Out of 100 rolls, there were 6 instances of 3. The experimental probability of rolling a 3 is ...

  6/100 = 6%

Solution

1km is 100, 000cm

The final answer

1,600 steps

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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The experimental probability of tossing a tail and spinning a 2 is given by: Option H: 1/8

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

\(P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}\)

where, \(P_e(E)\) is denoting experimental probability of occurrence of E.

For this case, the table is missing, the results recorded were:

Toss         Spin        Frequency

Head          1                 2

Head          2                6

Head          3                7

Tail             1                 7

Tail             2                5

Tail             3                13

That means total number of times experiment was done was: 2+6+7+7+5+13=40

Let we take E = event of  tossing a tail and spinning a 2

Thus, from the table, we see that E occurred 5 times.

Thus, based on this, the experimental probability of occurrence of E is:

\(P_e(E) = \dfrac{5}{40} = \dfrac{1}{8}\) (option H)

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Answer:

1+tan2x=sec2x.

Explanation: Change to sines and cosines then simplify.

In linear equation, The number of customers who will pay by debit card will be 44.

Which equation is linear?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

16 + 33 + 6 = 55 customers.

That means that the fraction of the customers, who paid by debit card, was

6/55  

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

400  × 6/55 = 2400  /55  = 43.63 ≈ 44

Therefore the number of customers who will pay by debit card will be 44.

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Answer:

80 potatoes

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

6a² = surface area for cube

6(5)² = 150

2\(\pi\)(r)(h)+2\(\pi\)r²  = surface area cylinder

2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi

150 + 20pi = 212.8318531

The mean of 10 randomly selected students is definitely more likely to be closer to 75. 10 randomly selected students to include information and are more like to reflect the class’s scores. Consider an extreme example. Seventy-five students in a class of 100 earned perfect scores. The other 25 earned zeros. The average score of the class would be 75. A sample of 10 random students would almost certainly include more 100s then 0s, but both would be included in the sample. The mean of this samples score is closer to 75 than any individuals.

The mean of this sample score is closer to 75 than any individuals.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The mean of 10 randomly selected students is definitely more likely to be closer to 75. 10 randomly selected students to include information and are more like to reflect the class’s scores. Consider an extreme example. Seventy-five students in a class of 100 earned perfect scores.

The other 25 earned zeros. The average score of the class would be 75. A sample of 10 random students would almost certainly include more 100s than 0s, but both would be included in the sample. The mean of this sample score is closer to 75 than any individuals.

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Using these three side lengths, we cannot make a right triangle since \(1649\) is not equivalent to \(3600\). Hence, a right triangle cannot be formed by the edges \(25\), \(60\), and \(32\).

A closed planar shape with three or even more straight sides is called a polygon. Depending on the amount of sides a polygon has, each one gets a different name. For instance, the polygon with 3 sides is known as a triangle since the word "tri" denotes the number three. Moreover, the name of the polygon suggests that it contains three angles.

Children should be taught that a triangle may have many various side lengths and angles.

To determine if a triangle with side lengths \(25\), \(60\), and \(32\) forms a right triangle, we can use the Pythagorean theorem.

\(25^2 = 625\)

\(60^2 = 3600\)

\(32^2 = 1024\)

Now that the Pythagorean theorem is proven,

\(625 + 1024 = 1649\)

Notice that \(1649\) is not equal to \(3600\), so we cannot form a right triangle with these three side lengths.

Therefore, the side lengths \(25\), \(60\), and \(32\) do not form a right triangle.

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When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer:

b c and d

Step-by-step explanation:

if not let me know

Answer:

\((g\ o\ f)=-20x+10\)

Step-by-step explanation:

One is given the following functions:

f(x) =5x + 2

g(x) = 4x + 2

One is asked to find the following:

\((g\ o\ f)(x)\)

One can rewrite this operation as the following:

g(f(x))

In essence, one substitutes in function (g) in place of the parameter (x), and solves to find the new function formed.

\(g(f(x))\\\\=g(-5x+2)\\\\=4(-5x+2)+2\)

Simplify, distribute, multiply every term in the parenthesis by the term outside of it, then simplify,

\(=-20x+8+2\\\\=-20x+10\)