Volume: Count the Cubes
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The test statistic can be determined by using the formula

Given

There is sufficient statistical evidence at 5% level of significance that there is   relationship between degree attainment and AGEKDBRN for women.

What is ANOVA model for men?

To ascertain whether there are any statistically significant differences between the means of three or more independent (unrelated) groups, the one-way analysis of variance (ANOVA) is used.

An n-way ANOVA allows a researcher to employ more than two independent variables (with n being the number of independent variables you have). For instance, any disparities in IQ scores can be investigated concurrently by country, gender, age group, ethnicity, etc.

Relationship between degree attainment and AGEKDBRN for women

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The number of students that you expect to be there in the given number of years would be = 520 students

To calculate the number of students that will be enrolled in the next five years the following steps should be taken.

That is;

The number of students for year 1 = 620

The decrease number of students observed per year = 20 students

For 5 years = 20× 5 = 100

Therefore, number of students that you expect to be there in the given number of years would be = 620- 100 = 520 students

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Answer:

240x + 75, $795 for 3 days

Step-by-step explanation:

$75 is not affected by the number of days she will be there, meanwhile, hotel and meal costs are. So, we will use x to represent the number of days and create an equation.

210x + 30x + 75

Then we can combine like terms

240x + 75

Using our new equation, we can solve for the total cost of 3 days.

240(3) + 75 = 795

3 days will cost $795

Using angle sum property

\(\\ \sf\longmapsto 4x+20+3x+10+2x+30=180\)

\(\\ \sf\longmapsto 9x+60=180\)

\(\\ \sf\longmapsto 9x=120\)

\(\\ \sf\longmapsto x=13.2\)

Answer:

31

Step-by-step explanation:

you just add for to 27

Answer:

The angles are supplementary.

Step-by-step explanation:

Angles that add up to 90° are complementary, while angles that add up to 180° are supplementary.

Answer:

4.49% (rounded to 2 decimal places)

Step-by-step explanation:

Let the tax rate be r%

The tax paid on car = (Final Sale Price) - (Before Tax Price)

= 8652.60 - 8280 =  $372

Tax rate as a decimal = Tax/(Before Tax Price)

= 372/8652.60 ≈ 0.0449275  (rounded to 7 decimal places)

To find tax rate as percentage multiply the above by 100 to get tax rate as
0.0449 x 100 ≈ 4.49275% ≈ 4.49% (rounded to 2 decimal places)

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Dots sells T-shirts ($5) and shorts ($9).

Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,

\(5x+9y=570\)

Solve it further,

\(5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}\)                  ....1

People bought 2 times as many T-shirts as shorts. Thus,

\(x=2y\)                          ....1

Put the value of y form equation in this equation as,

\(x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60\)

Put this value of x in equation 2 as,

\(x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30\)

Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

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Answer:

406.4

Step-by-step explanation:

When rounding you only look at the number you're rounding and the one before it. In this case it would be the 4 and 3 after the decimal since we're rounding to the nearest cent. If the numbers before the one you're rounding are 0-4 then you leave the number the same. If the numbers are between 5-9 then you add one to the number. Since the number before 4 is between 0-4 you leave it as 4. But if it was between 5-9 then you'd change the 4 to 5.

C. x + 3y = 27 lines are perpendicular to 3x – y = 10

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. In a two-dimensional plane, it is specified by two points. The term "collinear points" refers to two points that are on the same line.

As we know,

When two lines are perpendicular then the product of their slope is -1.

The slope is given by: y = mx+c

where, m is the slope.

Thus, the given equation:

3x – y = 10

y = 3x - 10

Comparing this equation with y = mx+c, we get

m₁ = 3

So, the slope of the given equation (m₁) = 3

Now find slope of others lines:

A) y = 3x + 5, Comparing this equation with y = mx+c, we get -

m₂ = 3

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₂

= 3×3 (putting the values we get)

= 9 ≠ -1

So, this line is not perpendicular to given line.

B) y = –13x + 17, Comparing this equation with y = mx+c, we get -

m₃ = -13

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₃

= 3× (-13) (putting the values we get)

= -39 ≠ -1

So, this line is not perpendicular to given line.

C) x + 3y = 27

3y = 27 - x

y = 9 - x/3, Comparing this equation with y = mx+c, we get -

m₄ = -1/3

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₄

= 3× (-1/3) (putting the values we get)

= - 1

So, this line is perpendicular to given line.

D) y – 2 = 13(3x + 36)

y = 39x +470, Comparing this equation with y = mx+c, we get -

So, m₅ = 39

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₅

= 3× (39) (putting the values we get)

= 117 ≠ -1

So, this line is not perpendicular to given line.

Therefore, option C is correct.

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Answer:

LM = 6

Step-by-step explanation:

use the ratio of corresponding sides

1/3 = 2/LM

LM = 6

Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

Answer:

I'm sorry, I don't understand the question or the answers well. could you repost?

Step-by-step explanation:

Both expressions illustrate the use of algebraic expressions.

The missing term of -46x + 18 is 2

The expressions are given as:

-4(12x - 5) + 2x and -46x + 18

Let the first term of -46x + 18 be represented with variable y.

So, we have:

y -46x + 18

Equate both expressions

\(-4(12x - 5) + 2x = y -46x + 18\)

Open brackets

\(-48x + 20 + 2x = y -46x + 18\)

Collect like terms

\(y = 46x - 48x + 2x + 20 - 18\)

\(y = 0 + 2\)

\(y = 2\)

Hence, the missing term is 2

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The given numbers from greatest to least are:

22, 8, 7, 2, -11

The given numbers from greatest to least starts with 22, then 8, then 7, then 2, and finally -11.

Answer:

this number 6

Step-by-step explanation:

yes self 4

Answer:

yes

Step-by-step explanation:

because if you add correctly you will get the answer

Answer:

9

Step-by-step explanation:

The GCF between 54 and 27 is nine.

Answer:

55.2

Step-by-step explanation:

69 x 0.8+55.2

Answer:

55.2

Step-by-step explanation:

I checked on multiple calculators

Step-by-step explanation:

a)

0.00000000007

b)

0.00000001

Answer:

use the app photomath. its free. and shows you all the steps

Step-by-step explanation:

Therefore, the height of the trapezoid is 73.5 centimeters.

Height is a measurement of how tall someone or something is, usually expressed in units such as feet, inches, meters, or centimeters. It is a physical dimension that describes the distance between the top of an object or person and the ground or a reference point. Height is often used to describe the size of people, animals, buildings, and other objects, and is an important factor in fields such as architecture, engineering, and athletics.

To find the height of the trapezoid, we can use the formula:

Area = (base1 + base2) * height / 2

where base1 and base2 are the longer and shorter bases of the trapezoid, and height is the perpendicular distance between the bases.

We are given that the area of the trapezoid is 8,526 square centimeters, base1 is 127 centimeters, and base2 is 105 centimeters. Let's plug in these values and solve for the height:

8,526 = (127 + 105) * height / 2

8,526 = 232 * height / 2

8,526 = 116 * height

height = 8,526 / 116

height = 73.5

Therefore, the height of the trapezoid is 73.5 centimeters.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

174.42%

Step-by-step explanation:

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