The volume of a cube can be found using the equation V=S3, where V is the volume and Sis the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description.

According to the empirical rule, about 68% of the data in a normal distribution is within one standard deviation of the mean, which corresponds to z-scores between -1 and 1.

The question is about the percentage of data found within certain ranges of standard deviations from the mean in a normal distribution, as represented by z-scores. Specifically, it refers to the proportion of data within one standard deviation (z-scores between -1 and 1). According to the empirical rule (also known as the 68-95-99.7 rule), about 68% of the data in a normal distribution is within one standard deviation of the mean.

So, about 68% of the area is between z=-1 and z=1 (or within 1 standard deviation of the mean). This empirical rule is a quick way to estimate the spread of data in a normal distribution and is useful for various statistical analyses.

Answer: x=50

Step-by-step explanation: x-13=37, add 13 to both sides to eliminate "-13" on the side with the variable to get the variable by itself and whatever is behind the equal sign is the value of x

Answer:

the mode

Step-by-step explanation:

The mode of a set of data values is the value that appears most often. if it is the favorite, it will have the most votes so it will be what appears most often

Final answer:

The mode is the best measure of central tendency to describe the favorite fruit sold in the cafeteria because it shows the most frequently sold fruit. However, the mean could also be relevant if the average sales are of interest, while the median is typically less informative for this specific question.

Explanation:

The measure of central tendency that best describes the favorite fruit sold in the cafeteria would typically be the mode. This is because the mode identifies the category with the highest frequency, which means it represents the fruit that appears most often in the sales data, or in other words, the favorite. However, to provide a definitive answer, one would need to analyze the actual sales data of fruits sold in the cafeteria. If we're looking solely at what is most common without considering how much more common, then the mode suffices. If, on the other hand, we're interested in the average number of each type of fruit sold, then the mean would be more appropriate. The mean is calculated by taking the sum of all observations and dividing by the number of observations. The measure of central tendency known as the median might be less useful in this specific case unless we're interested in the middle value of fruit sales when they're ordered from least to most sold.

angle of elevation, aoe = 59 deg

height, h = 40ft

distance from pole, dfp

using

tan 59deg = h/dfp

=》 dfp = h/ tan 59deg = 40/1.67 = 23.95ft

Answer:

24.04 ft

Step-by-step explanation:

Kurt spots  a bird sitting at the top of a 40 foot tall telephone pole

Consider the right triangle formed by the line joining the base of telephone pole and Kurt's leg,  the pole itself and line joining Kurt leg and top of pole.

This is right angled and since angle of elevation is given as 59

we have

height of pole/distance of Kurt from base = tan 59

i.e. [tex]\frac{40}{x} =tan 59\\x =40cot 59[/tex]

where d is the required distance of Kurt from the pole.

Hence x = 24.038

=24.04 feet

Answer:

C. [tex]\frac{14}{21} = \frac{18}{27} =\frac{2}{3}[/tex]

Step-by-step explanation:

The given triangles are similar.

If the two triangles are said to be similar, then the corresponding angles are equal and the corresponding sides are in proportion.

From the given figure, we are given two corresponding sides of each triangle.

We know the corresponding sides are proportion.

Let's form the proportion using the corresponding sides.

14 corresponds to 18

21 corresponds to 27

Therefore, [tex]\frac{14}{21} = \frac{18}{27}[/tex]

We can simplify the fraction 14/21 by dividing both the numerator and the denominator by 7.

[tex]\frac{14}{21}  = \frac{2}{3}[/tex]

Also, we can simplify 18/27 by dividing both the numerator and the denominator by 9.

[tex]\frac{18}{27} = \frac{2}{3}[/tex]

Therefore, answer is  C. [tex]\frac{14}{21} = \frac{18}{27} = \frac{2}{3}[/tex]

The correct option is b. 14/18=21/27=7/9 ,The correct option for the ratio of corresponding sides for the similar triangles is 1:3.

The ratio of corresponding sides for the similar triangles can be expressed as follows:

Let's denote the larger triangle's sides as **\(a\) and \(b\)**, and the smaller triangle's sides as **\(c\) and \(d\)**.

Given:

[tex]- Larger triangle: \(a = 18\) and \(b = 27\)\\- Smaller triangle: \(c = 14\) and \(d = 21\)[/tex]

The ratio of corresponding sides is:

[tex]\[\frac{a}{c} = \frac{18}{14} = \frac{9}{7}\]Similarly:\[\frac{b}{d} = \frac{27}{21} = \frac{9}{7}\]Both ratios are equal to \(\frac{9}{7}\).[/tex]

To reduce the ratio to lowest terms, we divide both the numerator and denominator by their greatest common factor (which is 9 in this case):

[tex]\[\frac{9}{7} = \frac{9 \div 9}{7 \div 9} = \frac{1}{\frac{7}{9}} = \frac{1}{\frac{7}{3}} = \frac{1}{\frac{21}{9}} = \frac{1}{3}\][/tex]

Therefore, the reduced ratio of corresponding sides for the similar triangles is **1:3**.

Answer:

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

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

Look at the picture.

The graph has been shifted 5 units to the right.

Therefore we have f(x - 5).

Answer:

31

24

Step-by-step explanation:

the larger number is 31 and the smaller number is 24 :)

Answer:  h = 15

Step-by-step explanation:

Volume (V) = Length (L) × width (w) × height (h)

1386 = 14 × 9 × (h - 4)

[tex]\dfrac{1386}{14\times 9}=h-4[/tex]

11 = h - 4

11 + 4 = h

15 = h

Answer:

49

Step-by-step explanation:

Bisection means that the angle is divided exactly in half.

All you have to do it divide 98/2 to find the angle measure of MVP

That number is 49.

Answer:

A and F

Step-by-step explanation:

Answer:

could you specify the question because im not sure what it is??

The time and day that will be 154 hours and 36 minutes after Thursday 1:26pm is Thursday at 8:02pm.

To determine the day and time that will be 154 hours and 36 minutes after Thursday 1:26pm, we need to perform some calculations:

Therefore, it will be Thursday at 8:02pm 154 hours and 36 minutes after Thursday 1:26pm.

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Answer:

i got A

Step-by-step explanation:

Final answer:

The area of the parallelogram is 1357.2 cm²

Explanation:

This question is based on basic understanding of geometry in general and about basics of parallelogram in particular.

There are two formulas to find area of parallelogram

1. By using the formula of area = ¹/₂ × d1 × d2 × sin Ф where; d1 and d2 are diagonals and sin Ф is the angle between diagonals.

2. By using the formula of area = b × h

Since, base and height are given in the question, second formula will be used

So, to find the area of a parallelogram, we use the formula:

A = base × height

Given:

Substituting the values in the formula, we get:

A = 82 cm × 16.6 cm = 1357.2 cm²

Therefore, the area of the parallelogram is 1357.2 cm²

Answer:

[tex]A = 4500 ft^2[/tex]

Step-by-step explanation:

By definition:

The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.

We know that:

[tex]P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x[/tex]

The perimeter is:

[tex]P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5[/tex]

Now we find the length of the sides:

[tex]AB = 45\\BC = 205\\CA = 200[/tex]

Once the length of the sides is known, we use Heron's formula to calculate the area.

First I find the semiperimeter S.

[tex]S = 0.5(45 + 205 +200)\\S = 225[/tex]

Then the Area is:

[tex]A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2[/tex]

Answer:

The function [tex]y=x+8[/tex] is the function [tex]y=x-6[/tex] shifted 14 units up.

The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)

The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)

Step-by-step explanation:

The equation of the line in slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

The first equation is:

[tex]y=x-6[/tex]

The second equation is:

[tex]y=x+8[/tex]

The parent function with the form [tex]y=mx[/tex] can be shifted up or shifted down k units.

When [tex]y=mx+k[/tex] the function is shifted k units up.

When [tex]y=mx-k[/tex] the function is shifted k units down.

Then, the function [tex]y=x+8[/tex] is obtained by adding k=14 to the function [tex]y=x-6[/tex].

Both equation has the same slope, but the y-intercepts are different.

The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)

The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)

Answer:   √2

Step-by-step explanation:

[tex]\sqrt[4]{4} =\sqrt[4]{2^2} =2^{\frac{2}{4}}=2^{\frac{1}{2}}=\sqrt2[/tex]

D) $5

Half of $25 is $5

25/5= 5

Answer:

Your answer is incorrect. Correct answer is f(-8) = -3

Step-by-step explanation:

[tex]f(x)=\dfrac{x+2}{2}\\\\f(-8)\to\text{put x = -8 to the equation of the function}\ f:\\\\f(-8)=\dfrac{-8+2}{2}=\dfrac{-6}{2}=-3[/tex]

The value of f(-8) refers to the result of a function, f(x), when x equals -8. However, without the specific function, we cannot provide an exact value.

To determine the value of f(-8), we need to know the function f(x). In mathematics, f(-8) typically refers to the value of a function, denoted as f(x), at x=-8. For instance, if we have the function f(x) = x^2, then f(-8) would equal to (-8)^2, which is 64. However, without knowing the specific equation for f(x), we cannot provide the exact answer for f(-8).

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See the attached pictures for the answers:

The answer is:

a. [tex]a^{\frac{3}{2}}bc^{2}[/tex]

To simplify the expression, we need to transform the radical into a exponential form, then apply the exponential property.

Transforming radical to exponential form:

[tex]\sqrt[n]{x}=x^{\frac{1}{n}}\\\sqrt{x}=x^{\frac{1}{2} }[/tex]

Power of a power property:

[tex](a^{m})^{n}=a^{mn}\\\\(a^{m})^{\frac{1}{n}}=a^{\frac{m}{n}}[/tex]

So,

[tex]\sqrt[4]{a^{6}b^{4}c^{8}}=(a^{6}b^{4}c^{8})^{\frac{1}{4}}\\\\(a^{6}b^{4}c^{8})^{\frac{1}{4}}=a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}\\\\a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}=a^{\frac{3}{2}}bc^{2}[/tex]

Have a nice day!

Answer:

99.9

Step-by-step explanation:

Answer:

C 8

Step-by-step explanation:

To find the interquartile range take the third quartile (the right line of the box) and subtract the first quartile (the left line of the box)

33-25 = 8

The measure of the arc WX is 26 degrees.

A secant is a line that intersects a circle in exactly two pints. When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one half the positive difference of the measure of the intercepted arcs.

According to the given question.

WSX is a secant angle.

TR and WX are intercepted arcs.

Therefore, by the secant of the circle formula

[tex]\frac{1}{2} (116^{o} -WX) = 45^{o}[/tex]

[tex]\implies 116^{o} -WX = 90^{o}[/tex]

[tex]\implies WX = 116^{o} -90^{o}\\ \implies WX = 26^{o}[/tex]

Hence, the measure of the arc WX is 26 degrees.

Thus, option B is correct.

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Answer:

t = 7.5 seconds

Step-by-step explanation:

Givens

vi = 120 f/s

a = -32 f/s

d = 0               It goes up, stops and comes back down landing where it starts.

Formula

d = vi*t + 1/2 a t^2

Solution

0 = 120*t - 1/2*32*t^2     transfer 120t to the left

-120*t = - 1/2 32 t^2        Multiply 32 and 1/2 together  

- 120t = - 16 t^2                Divide both sides by t

-120 =    -16 t                    Divide by -16

-120/-16 = (-16/-16) * t      

t = 7.5 seconds

Answer:

The answer is actually C. 7.5 I just answered this question on a quiz. I'm sorry for the late response and I hope this helps!

Answer:

Step-by-step explanation: there is 16 oz in a pound. Horace would buy 4-4 ounce bags at 2.35 per bag which equals $9.40 and since he can pay $8.65 for a pound bag, there would be a $.75 difference

By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.

To find out how much money Horace would save by buying the 1 pound bag instead of multiple 4 ounce bags, we need to compare the unit prices of the two bags. The 1 pound bag costs $8.65, so the cost per ounce is $8.65 divided by 16 (since there are 16 ounces in a pound), which is $0.54 per ounce. The 4 ounce bag costs $2.35, so the cost per ounce is $2.35 divided by 4, which is $0.59 per ounce. By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.

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Answer:

Step-by-step explanation:

Two lines that intersect and form right angles are called perpendicular lines. The symbol ⊥ is used to denote perpendicular lines.

Answer:

x=9

Step-by-step explanation:

First divide both sides by -5. Once you do this you should have a result of √x=3. from here, square both sides. This will give you an answer of 9

Answer:

Step-by-step explanation:

[tex]Domain:\ x\geq0\\\\-5\sqrt{x}=-15\qquad\text{divide both sides by (-5)}\\\\\sqrt{x}=3\qquad\text{square both sides}\\\\(\sqrt{x})^2=3^2\qquad\text{use}\ (\sqrt{a})^2=a\\\\x=9[/tex]

Answer:

3 × 10⁵

Step-by-step explanation:

[tex]\dfrac{3.6\times10^8}{1.2\times10^3}=\dfrac{3.6}{1.2}\times\dfrac{10^8}{10^3}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=3\times10^{8-3}=3\times10^5[/tex]

The value of the expression 3.6x10^8 / 1.2x10^3 equals 3x10^5. In this calculation, the coefficients are divided, and the powers of 10 are subtracted.

The question asks for the value of the expression 3.6x10^8 / 1.2x10^3. This is a division problem involving scientific notation. Here is the step by step solution:

So, the value of the expression 3.6x10^8 / 1.2x10^3 equals 3x105.

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Answer:

Each ticket cost $9.50

Step-by-step explanation:

4x+6.25=44.25

    -6.25.      -6.25

4x=38

x=9.50

The cost of each movie ticket is $9.5.

Given that, a group of four friends went to the movies they bought a large bag of popcorn to share for $6.25 the total was $44.25.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of each movie ticket be x.

Now, 4x+6.25=44.25

⇒ 4x=44.25-6.25

⇒ 4x=38

⇒ x=38/4

⇒ x=$9.5

Hence, the cost of each movie ticket is $9.5.

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"Your question is incomplete, probably the complete question/missing part is:"

A group of 4 friends went to the movies in addition to their tickets, they bought a large bag of popcorn to share for 6.25 the total was $44.25 what is the cost of one movie ticket?