I NEED HELP AP STATS THANK YOU!!

Answer:

23/4

Step-by-step explanation:

5*4 = 20

20+3=23

Answer:

23/4

Step-by-step explanation:

I learned it like this

4x5+3

So basically you multiply the bottom number with the whole number on the side and add the top number to it

And 4x5+3=23

You keep the bottom number of the mixed number

So it's 23/4

(I'm not super good at explaining things, but I hope this helped)

The total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination is given by (n^3 + 3n^2)/3.

The LU decomposition version of Gauss elimination involves 3 phases which are :

The flops in decomposition phase is (n^3)/3, forward-substitution phase is n^2 and back-substitution phase is 2n^2. By adding all the flops for these 3 disinct phases we get (n^3 + 3n^2)/3 as total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination.

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The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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Answer: Option C

Explanation:

In the triangle below:

If AC=b and AD=r, by the segment addition postulate:

Therefore, applying the Pythagorean theorem to the right triangle BDC:

The first step to proving the Law of Cosines is Option C.

Answer:

take your base x height and / 2. 10x8=80/2=40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

24 is the number. The sum of its digits is 6.

Step-by-step explanation:

There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:

24 = 4 × 6 = 4 × (2 + 4)

Answer:

22 out of 49

Step-by-step explanation:

Because 22/49 gives a value closer to one than 12/29.

Answer:

Not a random variable

Step-by-step explanation:

The last book a person read in City A is not a random variable because it is not a number as there is no numerical description for the outcome of this experiment.

Thus, the last book read by someone in City A is not a random variable.

Answer:

not random

Step-by-step explanation:

Answer:

*2520

Step-by-step explanation:

A quarter of him income was spent on food

X (representing his income) - x/4= 3x/4

Then 2/3 was spent on house rent. Notice the, the question didnt say 2/3 of his income. Therefore it would be 2/3 of what is remaining after he pays for food.

2/3 * 3x/4= x/2

3x/4-x/2=x/4.

The remaining after all expenses are paid is 630. So:

x/4=630

x=630*4

x=2520

1/4 + 2/3 + 1/12 = 1

That is fraction on

Food + house rent + other items = Total amount

If 1/12 = 630.............. equation 1

Then 1/4 + 2/3 = 11/12

11/12= x................. equation 2

Cross multiply equation 1 & 2

1/12*x = 1155/2

To find x, cross multiply again

2x = 13860

x = 13860/2

x = 6930

This means that 11/12 + 1/12 = 6930 + 630

= 7560

Therefore 2/3(fraction for house rent)*7560(total amount)=5040

Answer is 5040

Answer:

Step-by-step explanation:

The order for FCFS is: 20->10->22->20->2->40->6->38.

Distance is

10+12+2+18+38+34+32 = 146

cylinders, so time is

146* 6 = 876 sec.

The order for elevator is:

20->20->22->38->40->10->6->2.

Distance is

0+2+16+2+30+4+4 = 58

cylinders, so time is

58 * 6 =348 msec.

The order for CCN is:

20->20->22->10->6->2->38->40.

Distance is

0+2+12+4+4+36+2 = 60

cylinders, so time is 60 * 6 =360 msec.

Answer:

c

Step-by-step explanation:

diameter is 2x the radius

Answer:

C. 2 meters

Step-by-step explanation:

If you have the radius multiply it by 2 to get the diameter.

If you have the diameter divide it by 2 to get the radius.

When you multiply the diameter by 22/7,  you find the approximate not exact circumference of a circle.

What is the Circumference of a circle?

The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by it.

Pi ( written as the Geek letter π) is a universal constant found by dividing the circumference of a circle by its diameter. So if you measure the diameter of a circle you can calculate its circumference by multiplying by π.

Circumference = π * diameter.

It's value to the nearest hundredth is 3.14 but its actual value is a decimal number that goes on without bounds. That is in Maths it is irrational and can't be written accurately as a fraction.

For example:

What is the circumference of a circle that has a radius of 7cm?

Approximately 22 cm.

Exactly 7πcm

The ratio between the circumference of a circle and its diameter is π. We commonly write c=2π r, using the radius instead and doubling it.

One is 22/7, which is common in use and the other is 355113 ≈ 3.1415929,

which is less well-known but very accurate for the number of digits you have to remember.

In the given example, we are told that the diameter is 7 cm.

So using the common approximation π ≈ 22/7,

we find that the circumference is approximately:

(22/7)* 7 cm

= 22cm

Hence, when you multiply the diameter by 22/7,  you find the approximate not exact circumference of a circle.

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Answer:

\(F' = (-3,-3)\)

\(G' = (-3,3)\)

\(H' = (6,-3)\)

Step-by-step explanation:

Given

The attached graph

\(Scale\ Factor = 1\frac{1}{2}\)

Required

Determine the coordinates of F'G'H'

First, we need to get the coordinate of F, G and H from the graph

\(F = (-2,-2)\)

\(G = (-2,2)\)

\(H = (4,-2)\)

The dilated coordinate is then calculated as:

\((FGH)' = (FGH) * Scale\ Factor\)

This gives:

\(F' = (-2,-2) * 1\frac{1}{2}\)

\(F' = (-2* 1\frac{1}{2},-2* 1\frac{1}{2})\)

\(F' = (-3,-3)\)

\(G' = (-2,2) * 1\frac{1}{2}\)

\(G' = (-2 * 1\frac{1}{2},2 * 1\frac{1}{2})\)

\(G' = (-3,3)\)

\(H' = (4,-2) * 1\frac{1}{2}\)

\(H' = (4 * 1\frac{1}{2},-2 * 1\frac{1}{2})\)

\(H' = (6,-3)\)

Answer:

The volume of the region V = 2

Step-by-step explanation:

Given that:

\(z_1 = 3y^2\) ;

where initially;

\(z_o = 0; \ x_o = 0; \ x_1 = 1; \ y_o= -1; \ y_1 = 1\)

The volume of the region is given by a triple which is expressed as:

\(V = \int_x \int_y \int_z \ dz \ dy \ dx\)

\(V = \int \limits ^{x_1 = 1}_{x_o=0} \int \limits ^{y_1 = 1}_{y_o=-1} \int \limits ^{z_1 = 3y^2}_{z_o=0} \ dz \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \int \limits ^{3y^2}_{0} \ dz \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx\)

\(V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx\)

\(V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx\)

\(V =2 \Bigg [x \Bigg] ^1_0\)

V = 2

Thus, the volume of the region is 2

Answer:

The answer is B: 9/10

Step-by-step explanation:

You have to divide.

3/5 ÷ 2/3 =

3/5 × 3/2= 9/10

The equation of the sinusoid function is:

3 Sin πx + 2.

Let's analyze the given options to find the correct equation:

a. 3 Cos πx + 2:

This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.

b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.

c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:

To determine if the period is correct, we need to calculate the x-values when the function repeats itself.

In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.

sin(πx) = 0 when πx = 0, π, 2π, 3π, ...

Solving for x, we have:

πx = 0 ⟹ x = 0

πx = π ⟹ x = 1

πx = 2π ⟹ x = 2

πx = 3π ⟹ x = 3

From this, we can see that the function repeats itself every integer value of x, which matches the given information.

Therefore, option (c) is the correct equation: 3 Sin πx + 2.

Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.

Hence, the equation of the sinusoid function is:

3 Sin πx + 2.

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Answer:  cos∅ = (3√11)/11

Step-by-step explanation:

See image

Answer:

cos∅ = 3/√11

Step-by-step explanation:

If tan ∅ = √(2)/3

We know the relationship:

As given, putting the value to this equation we get:

We know that sec∅ = 1/cos∅

Hence cos ∅ = 1/ sec∅

Putting the value of sec∅, we get:

This is an interesting method by using square relationship!

Answer:

No

Step-by-step explanation:

Let

x ----> number of miles

y ---> total charge

n ----> number of days

10 1/2 cents=10.5 cents=$0.105

so

y=29.95n+0.105x

For x=214.8 miles

n=3 days

y=29.95(3)+0.105(214.8)

y=$112.40

In order to estimate the hourly rate of any given babysitter, Ms. Wong can make use of the mean of the sample, because it most closely describes the values of the data in the dataset

The sample mean is the average of the values in the data sample.

Possible part of the question, obtained from a similar question online includes the following table of values;

Babysitter  \({}\)   Rate in dollars per hour

1                         \({}\) 9.6

2                        \({}\) 9.80

3                        \({}\) 15.50

4                        \({}\) 10.6

5                       \({}\)  9.7

6                        \({}\) 10.20

7                        \({}\)  8.80

8                        \({}\)  11.20

9                        \({}\)  8.80

10                        \({}\) 10.10

The estimate of the hourly rate of any given babysitter can be found using the descriptive statistic, such as the mean, median, or mode, which are measures that indicate the possible mid value of a data set.

The mean is the average value of the dataset, which is obtained by adding the individual data points together and dividing the sum by the number of data points as follows;

9.6 + 9.8 + 15.5 + 10.6 + 9.7 + 10.2 + 8.8 + 11.2 + 8.8 + 10.1 = 104.3

The number of datapoints in the data = 10

The mean = 104.3/10 = 10.43

The median is the middle value which is found by arranging the values  in increasing order, then selecting the middle value as follows;

The median values in the dataset that has 10 data points is the average of the 5th and 6th values, which are; 9.8 and 10.1

The median of the dataset is therefore; (9.8 + 10.1)/2 = 9.95

The mode of the dataset is the most common value within the dataset. The mode is therefore 8.8

Based on the above three values, the best estimate that most closely describe the data in the dataset is the mean

Therefore, to estimate the hourly rate of any babysitter, Ms. Wong can make use of the mean, because it most closely describes the values in the dataset.

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Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.

In mathematics, a percentage is any amount that can be stated as a proportion of 100. Also occasionally used are the abbreviations "pct.," "pct," or "pc." But the "%" mark is usually used to indicate it. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. A number should be preceded by the percent sign (%) to denote it is a percent.

Here,

Given :

A weekly unemployment amount is calculated using the following three components:

1. Determine the quarterly wage total (consecutive)

2. Multiply the sum by 26.

3.Multiplying by the rate of unemployment

Calculate the total of a quarterly salaries first:

=> (12950.80 + 12250.10) / 26

=>  25,200.9/26

=> 969.26 * 40 %

=> 387.704

Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.

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Answer: 2.166 repeating

More info

Subtract 706.5 - 549.5

That equals 157.

Divide 157 by 6

You get 2.1666666667, or 2.166 repeating

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

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

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

4

Step-by-step explanation:

I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.

In this question, the binomial is (x + 2)².

You can expand this to be (x + 2)(x + 2).

When you expand it using the FOIL method, you get x times x, which is x².

Next, the outside/outer terms are x and 2, which is 2x.

Then, you multiply the inside/inner terms 2 and x, which is 2x.

Last, you multiply the last terms, which are 2 and 2, which is 4.

When you put them together, it looks like this:

x² + 2x + 2x + 4.

You can simplify this to x² + 4x + 4.

So your answer is 4.

Answer:

dont understand clearly

Step-by-step explanation:

dont understand clearly

The value of the expression a(b + c) when a = 2, b = 3, and c = 4 is 14.

Given the expression in the question:

a( b + c )

Also, a = 2, b = 3, and c = 4

To evaluate the expression a( b + c ) when a = 2, b = 3, and c = 4, we substitute these values into the expression:

Hence:

a( b + c )

Plug in a = 2, b = 3, and c = 4

2( 3 + 4 )

First, we simplify the parentheses by adding 3 and 4:

2( 7 )

Next, we multiply 2 and 7:

14

Therefore, the value of a(b + c) is 14 .

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\(f(0)=0^2+0-6=\boxed{-6}\).

Hope this helps.