15. A TV is listed as being 40 inches. This distance is the diagonal across
the screen. We know that the TV is a rectangle (two right triangles). If the
screen measures 24 inches in height and 32 inches in length, is the
diagonal exactly 40 inches? *

Answer:

The first one I think xx

Answer:

60 or 70

Step-by-step explanation:

Answer:

The shape is a trapezium; so use the formula for solving area of a trapezium to solve it. Which is

1/2(a+b)×h

=1/2(10+6)×7

=1/2 × 16 × 7

= 8×7

=56

Answer:

Step-by-step explanation:

1 treat bag \(=\frac{\$5.20}{2} =\$2.60\)

So 5 treat bags \(=5\times \$2.60=\$13.00\)

Dani would have to spend an extra $13 to make 5 more bags.

Answer:

= -4(2.3x + 0.7)

Step-by-step explanation:

=(3x + 5.1) + (-12.2x - 7.9)

= 3x + 5.1 - 12.2x - 7.9

= -9.2x - 2.8

= -4(2.3x + 0.7)

Answer:

A cone has a diameter of 8 units and a height of 8 units. Its radius is 4units its volume is 134.04 cubic units. A cylinder with the same height and radius as the cone will have a volume of 402.12 cubic units. If a sphere has the same radius as the cylinder, Its volume is less than the volume of the cylinder​.

radius = diameter / 2 = 8/2 =4units

\(volume \ of \ cone = \pi r^2 \frac{h}{3}\)    =134.04cubic units

\(volume \ of \ cylinder = \pi r^2h\)  = 402.12 cubic units

\(volume \ of \ sphere = \frac{4}{3}\pi r^3\) = 268.08 cubic units

The distance between the skew lines with parametric equations is 40/29 units.

We can find the distance between the skew lines by finding the distance between a point on one line and its closest point on the other line. Let's start by finding a point on each line

Line 1

x = 3t

y = 26t

z = 2t

We can choose the point P1 = (0, 0, 0) on this line, which corresponds to t = 0.

Line 2

x = 22s

y = 515s

z = −16s

We can choose the point P2 = (0, 0, 0) on this line, which corresponds to s = 0.

Now we need to find the vector that connects these two points, which is given by

P2 - P1 = (22(0) - 3(0), 515(0) - 26(0), -16(0) - 2(0)) = (2, 5, 0)

This vector is perpendicular to both lines, so we just need to find the projection of the vector connecting a point on one line to the other line onto this vector to get the distance between the lines. Let's choose a point Q1 = (3t, 26t, 2t) on Line 1, and find the projection of the vector PQ1 onto the direction vector (2, 5, 0)

PQ1 = Q1 - P1 = (3t, 26t, 2t)

proj(PQ1, (2, 5, 0)) = (PQ1 dot (2, 5, 0)) / (2^2 + 5^2 + 0^2) * (2, 5, 0)

= (6t + 65t) / 29 * (2, 5, 0)

= (232t / 29, 580t / 29, 0)

The distance between the lines is then the length of the vector proj(PQ1, (2, 5, 0))

distance = √((232t / 29)^2 + (580t / 29)^2 + 0^2) = √(78400 / 841) = 40 / 29

Therefore, the distance between the skew lines is 40/29 units.

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Answer:

1=137 2=43 3=137 4=43 5=137 6=43

Step-by-step explanation:

Answer:

n = 1

Step-by-step explanation:

So the first step is to simplify the top equation:

(3v + 7) - (8v + 6)

distribute the negative sign to get rid of the second parentheses:

3v + 7 - 8v - 6

now, combine like terms

-5v + 1

Since it says it needs to be equivalent to (-5v + n), n is 1

HAYYYYYYY ALAIA itz da ghetto iOn FW ULGY  H-O-ES    pHAVE DERR BEEN  DRAMA

Statistics help present data precisely and draw meaningful conclusions. While presenting data, one should be aware of using adequate statistical measures.

Readers are generally interested in knowing the variability within the sample, descriptive data should be precisely summarized with SD. The use of SEM should be limited to computing CI which measures the precision of population estimate. Journals can avoid such errors by requiring authors to adhere to their guidelines.

Studying the entire population is time and resource-intensive and not always feasible; therefore studies are often done on the sample, and data are summarized using descriptive statistics. These findings are further generalized to the larger, unobserved population using inferential statistics.

For example, to understand the cholesterol levels of the population, the cholesterol levels of the study sample, drawn from the same population are measured.

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Answer:

Step-by-step explanation:

By applying sine rule in ΔACD,

cos(30°) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

cos(30°) = \(\frac{CD}{AD}\)

\(\frac{\sqrt{3} }{2}=\frac{z}{24}\)

z = \(8\sqrt{3}\)

By applying cosine rule in ΔACD,

sin(30°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

sin(30°) = \(\frac{AC}{CD}\)

\(\frac{1}{2}=\frac{AC}{24}\)

AC = 12

By applying tangent rule in ΔACB,

tan(45°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

1 = \(\frac{AC}{BC}\)

y = 12

By applying sine rule in ΔACB,

sin(45°) = \(\frac{BC}{AB}\)

\(\frac{1}{\sqrt{2}}=\frac{y}{x}\)

x = y(√2)

x = 12√2

Answer:

12

Step-by-step explanation:

The value x is used often in algebra to specify an unknown variable.

Variables are often alphabets or letters used to represent an unknown number or value.

It is called a variable because it may change it's value according to the value of the others.

x is a variable which is commonly used to solve problems in algebra.

It represents the unknown variable.

We have to do certain operations to find the value of y.

Consider the equation, x + 5 = 13.

Here x is a unknown variable.

We can find the value of x as x = 13 - 5 = 8

Hence x is commonly used to represent an unknown variable.

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In linear equation, $869,776  will her total payment for the home be .

What in mathematics is a linear equation?

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.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

2. Amount borrowed

You will make a 22% down payment:

Thus the amount borrowed is $426,000 - $93,720 = $332,280

3. Monthly payment

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

4. Total monthly payments:

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

5. Total payment for the home.

The total payment for the home will be the down payment plus the amount paid to the bank:

$322,280 + $537,496 = $869,776

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Answer:

x+ 3/2y= 15

Step-by-step explanation:

8x+12y=120

To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.

x+ 3/2y= 15

The number 0.19 is a d. statistic, which represents a numerical summary of a sample. The z-score would be calculated by (0.19 - 0.23) / sqrt((0.23 * 0.77) / 300) and would indicate how many standard deviations the sample proportion is from the population proportion.

The p-value and significance level would be used in hypothesis testing to determine the likelihood of obtaining a sample proportion as extreme or more extreme than the observed proportion, assuming the null hypothesis is true.

The parameter is the true proportion of all undergraduate students at the local university who live on campus, which is estimated by the sample statistic.

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Biblical tithing basically means you will give 10 percent of your income to the lord.The word tithe refers to "tenth" or "tenth part," so biblical tithing implies offering one-tenth of one's income to the church.

Biblical tithing is the method of giving the first fruits of one's labor to the Lord. Tithing originated from the Old Testament in which people would offer 10% of their harvest to the Lord.Tithing is a way of giving back to God as well as to others, according to the Bible.

As a result, Christians are required to tithe a tenth of their earnings. While this might appear to be a significant amount of money, if Christians can trust God with their finances, they can discover that he blesses them in ways they never imagined. In the New Testament, there is no specific requirement to tithe, but Christians are urged to give generously to the church and those in need.

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Answer:

a=1

b=-6

Step-by-step explanation:

Instead of x, we plug in -5.

a(4-(-5))=-3(-5)+b

Then, we simplify.

a(9)=15+b

At last, we look at the possible answers and see what could possibly work.

a=1

b=-6

Answer:

0.05

Step-by-step explanation:

100 windows is 1.00

95 windows is 0.95

5 = 0.05

The bus 2 will pass bus 1 at 12.30 pm, when both are at 360 miles.

The bus 1 starts half hour earlier than bus 2. But since bus 2 is faster, it will overtake at some point. At 8 am, bus 1 will start. By the time 8.30, it will cover a distance of 40 miles.

Bus 2 starts at 8.30, So it will be at 0 miles.

By 10, the bus 1 will be at 160 miles, bus 2 at 135 miles

By 10.30, the bus 1 will be at 200 miles, bus 2 at 180 miles.

By 11.30, bus 1 will be at 280 miles, bus 2 will be at 270 miles

By 12.30, bus 1 will be at 360 miles, bus 2 will be at 360 miles.

So at the 360 the, the both the buses passes each other.

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Answer:

No is the answer:)

Step-by-step explanation:

Draw a straight line down the middle and if it touches the purple line twice its not a function

The surface area of the given figure is 44.75 sq. yd and the volume of the whole figure is 27.5 cu. yd.

What is surface area?

The surface area is a region filled by a two-dimensional flat surface. The surface area of a three-dimensional item is the space taken up by its outer surface. Square units are units used for both.

The formula for the surface area of the given figure = perimeter of a base * height

The formula for the Volume of a three-dimensional solid having uniform cross-section = area of base * height

Given:

length =  4 yd; breadth = 2.5 yd

The surface area of the given figure = surface area of the cuboid + surface area of a prism

  =  ( 2(4+2.5) * 2) + (3*2.5* 2.5)

  = 26 + 18.75

  = 44.75 sq. yd

The volume of the given figure = volume ( cuboid + prism)

                                                   = (4*2.5*2) + (1/2*1.5*4*2.5)

                                                  = (20) + (7.5)

                                                 = 27.5 cu. yd

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Let

ATQ

\(\\ \tt\longmapsto x+x+4+2(x+4)=116\)

\(\\ \tt\longmapsto 2x+4+2x+8=116\)

\(\\ \tt\longmapsto 4x+12=116\)

\(\\ \tt\longmapsto 4x=104\)

\(\\ \tt\longmapsto x=26\)

The missing angle of the diagram is expressed as; x = 70°

An angle is usually measured with reference to a circle with its center at the common endpoint of the rays. Hence, the sum of angles at a point is always 360 degrees

Now, we are given a point with three angles where one is unknown and the other two are known. Thus, by the sum of angles about a point, they will sum up to 360 degrees.

Thus;

x + 160 + 130 = 360

x + 290 = 360

x = 360 - 290

x = 70°

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The y-intercept is 5, and the slope is -4. As a result, the line's equation is y = -4x + 5, where -4 is the slope and 5 is the y-intercept.

A linear equation is an algebraic equation of the form y = mx + b, where the slope is m and the y-intercept is b, and only a constant and a first-order (linear) term are included.

The slope and y-intercept of the linear equation 4x + y = 5,

we need to solve for y and put the equation in slope-intercept form, y = mx + b,

where the slope is m and the y-intercept is b

4x + y = 5

Subtract 4x from both sides:

y = -4x + 5

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The each random variable has one and only one variance.

Yes, it is reasonable to say that each random variable has one and only one variance. Variance is a measure of the spread of a random variable's distribution, and is defined as the average of the squared deviations from the mean. Since each random variable has a specific distribution and a specific mean, it will also have a specific variance. Therefore, each random variable has one and only one variance.

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One-sided hypothesis test: Incoming students' grades based on the online program.

Two-sided hypothesis test: Men's and women's usage of mobile fitness app, listeners of a streaming music service based on user intappserface change, and users of a commercial website making a purchase based on user account requirement.

We have,

Classifying the scenarios as one-sided or two-sided tests:

One-sided hypothesis test:

Test whether incoming students at a business school receive better grades in their classes if they've taken an online program covering basic material.

Two-sided hypothesis test:

Test whether there is a difference between men's and women's usage of a mobile fitness app.

Two-sided hypothesis test:

Test whether the number of listeners of a streaming music service has changed after they changed the user interface.

One-sided hypothesis test:

Test whether users of a commercial website are less likely to make a purchase if they are required to set up a user account on the site.

Thus,

One-sided hypothesis test: Incoming students' grades based on the online program.

Two-sided hypothesis test: Men's and women's usage of mobile fitness app, listeners of a streaming music service based on user intappserface change, and users of a commercial website making a purchase based on user account requirement.

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Answer:

10 hours

Step-by-step explanation:

86.50-60=26.50

5.30/2=2.65

2.65*10=25.50

so 10 hours of work to buy the bicycle

Step-by-step explanation:

we plug in 0 for x in the equation hence

A = 1

we plug in 2 for x in the equation to find B

hence B = 5

The range of f(x) = 2x for any real number x will always be the set of all real numbers, regardless of what specific value of x is plugged in.

The range of a function is the set of all possible output values for the function. In this case, the function f(x) = 2x has a domain of the set of real numbers, meaning that any real number can be plugged in for x. The range of the function will be determined by what values of x are plugged in.

(a) If z is a real number, then f(z) = 2z. The range of f(z) will be the set of all real numbers since any real number can be plugged in for z and the output will also be a real number.

(b) Similarly, if n is a real number, then f(n) = 2n. The range of f(n) will also be the set of all real numbers since any real number can be plugged in for n and the output will also be a real number.

(c) Finally, if r is a real number, then f(r) = 2r. The range of f(r) will also be the set of all real numbers since any real number can be plugged in for r and the output will also be a real number.

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