Here is a data set: 22, 4, 26, 31, 33, 24
.Answer true or false for the following statements.
If you remove the outlier: = 4

- the range will decrease:

- the mean will increase:

- the median will stay the same:

Answer:

see explanation

Step-by-step explanation:

To find solutions to the equation, choose any value for x, substitute into the equation and evaluate for y, that is

x = - 1 → y = 5(- 1) = - 5 ⇒ (- 1, - 5 )

x = 0 → y = 5(0) = 0 ⇒ (0, 0 )

x = 1 → y = 5(1) = 5 ⇒ (1, 5 )

x = 5 → y = 5(5) = 25 ⇒ (5, 25 )

Thus 4 solutions are

(- 1, - 5), (0, 0), (1, 5), (5, 25)

Answer:

A. Yes, the relationship is proportional

B. No, the slope is -3

C. Yes, the slope is negative

D. No, the y intercept is 0

E. Yes, the equation is  y=-3x.

Answer

The answer is A C and E

Step-by-step explanation:

Answer:

lines a and c :)

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

The slope is how you move so you could also call it m

The y intercept is where you begin so you could call it b

So every time you need to find the equation or which one is like the slope just remember m=move b= begin

y=mx+b

Answer:

Tisco

Step-by-step explanation:

T=1.65x4 is 6.6

A=1.36x5 is 6.8

6.8>6.6

sry if wrong

Answer:

A: JUPITER

B: 3,830.8

C: The mass of Jupiter is 1.899 × 1027 kg. The mass of Saturn is 0.3 times the mass of Jupiter.

Answer: Equation form: y=mx+b m=slope b=y-intercept slope= -375 y-intercept= 29000 equation: population now, 0 years x = years from now y= -375x + 29000 375x=3000 x=8

Step-by-step explanation:

Answer:

16x+6

Step-by-step explanation:

5x+2+3x+1+5x+2+3x+1 =

16x+6

Answer:

16x + 2

Step-by-step explanation:

\(\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}\)

Given expressions:

To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:

\(\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}\)

The answer is C if you pay attention to the original dotted line and then where the new one goes, which is up two.

When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.

Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.

Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.

The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.

In order to get a sum of 9, there are four combinations that can be rolled:

3 + 3 + 3 = 9

3 + 4 + 2 = 9

3 + 5 + 1 = 9

4 + 3 + 2 = 9

The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2

= (1/216) + (3/216) + (3/216) + (3/216)

= 10/216 or 5/108.

Learn more about probabilities:

https://brainly.com/question/29381779

#SPJ11

In both questions, two triangles are not congruent as explained below.

We know for congruency of triangles we need at least three angles or sides or both of the two triangles' corresponding three sides or angles or both similar to each other.

In the first question, there are two right-angle triangles that have two sides corresponding to each other that is similar and a right angle but in the case of a right-angle triangle corresponding hypotenuse should be similar and one of the legs and a right angle is already there.

So, They are not congruent.

In the second question, we have one side and one angle similar to the corresponding side and angle of the other triangle but we need at least three sides or angles or both to prove congruency.

So, they are also not congruent.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ1

ANSWER

None of the above.

EXPLANATION

We want to solve the equation given for x:

First, simplify the radical:

Now, find the square of both sides of the equation:

Finally, simplify by subtracting 4 from both sides of the equation:

Hence, the correct option is "None of the above".

Minimizing the sum of squared residuals.

The OLS (Ordinary Least Squares) estimator is derived by minimizing the sum of squared residuals. This method aims to find the line of best fit that minimizes the vertical distance between the observed data points (Yi) and the predicted values on the regression line. The residuals represent the differences between the observed values and the predicted values.

By minimizing the sum of squared residuals, the OLS estimator ensures that the line fits the data as closely as possible. This approach is based on the principle of least squares, which seeks to find the parameters that minimize the overall discrepancy between the observed data and the predicted values.

Connecting the Yi corresponding to the lowest Xi observation with the Yi corresponding to the highest Xi or ensuring that the standard error of the regression equals the standard error of the slope estimator are not the steps involved in deriving the OLS estimator. The OLS method specifically focuses on minimizing the sum of squared residuals.

Learn more about estimator

brainly.com/question/16099852

#SPJ11

Step-by-step explanation:

Answer:

12/15 of the way

Step-by-step explanation:

create a proportion of time/filled = time/filled

let 'x' = fractional portion of filled pool

1/2÷1/15 = 6÷x

complex fraction 1/2÷1/15 is the same as 1/2 × 15/1 and this is 15/2

15/2 = 6/x

cross-multiply to get:

15x = 12

x = 12/15

The required length of the missing side is 9.28 units for the given triangle.

As shown triangle:

∠A = 104°

∠B = 47°

∠C = 29°

Side c = 7 units

Let's denote the length of the missing side as x.

Using the Law of Sines:

sin(A)/a = sin(B)/b = sin(C)/c

We know the values of angles A, B, and C, as well as the length of side c. Plugging in these values, we get:

sin(104°)/x = sin(47°)/7

To find x, we can rearrange the equation and solve for x:

x = (7 × sin(104°)) / sin(47°)

Using a calculator, to get the value of x:

x ≈ 9.28

Therefore, the length of side a (in front of angle A) is approximately 9.28 units.

Learn more about the sine rule here:

https://brainly.com/question/28061648

#SPJ1

The correct answer is (c) Only the distribution of pretest scores must be approximately Normal

How is conditions for 99% CI calculation?

In order to construct a 99% confidence interval for the true mean difference in pretest and posttest scores, we need to meet certain conditions. The only condition that must be met is that the distribution of pretest scores should be approximately Normal. This means that the data collected from the pretest should follow a bell-shaped curve, with the majority of the scores being clustered around the mean. This condition is important because it helps us to make accurate statistical inferences about the population mean difference based on the sample data. The distribution of posttest scores or the difference between posttest and pretest scores are not required to be normal for constructing a confidence interval.

Learn more about 99% confidence

brainly.com/question/30762304

#SPJ11

To construct a 99% confidence interval for the true mean difference in pretest and posttest scores, the condition that must be met is only the distribution of differences (post-pre) must be approximately Normal. Thus, the correct option is D.

When constructing a confidence interval for the true mean difference in pretest and posttest scores, it is only necessary for the distribution of the differences to be approximately Normal. The distributions of the pretest and posttest scores themselves do not need to be Normal, as long as the difference between them is approximately Normal.

However, if all three distributions (pretest, posttest, and the difference) are approximately Normal, this can improve the accuracy and precision of the confidence interval.

Therefore, D is the correct option.

To know more about Pretest - Posttest visit:

https://brainly.com/question/31803047

#SPJ11

The vοlume οf the right circular cοne is 94.2 cm³

A right circular cοne is a geοmetric shape in which the axis is perpendicular tο the plane οf the base. It can be generated by  a right cοne by revοlving a right triangle abοut οne οf its legs. There is a radius and height οf the right circular cοne.

Given that radius οf right circular cοne is 3cm

height οf the right circular cοne is 10cm

The fοrmula fοr right circular cοne = (1/3)πr²h where π=3.14 , r is the radius and h is the height.

Sο the vοlume οf the cοne = (1/3) ×3.14×(3)²×10

                                            = 94.2 cm³

Hence the vοlume οf the right circular cοne is 94.2 cm³.

To know more about right circular cone

https://brainly.com/question/21926193    

#SPJ9

Answer:

x(x + 3)(x + 1)(x - 1)

Step-by-step explanation:

f(-3) = 0 ⇒  (x + 3) is a factor

f(-1)= 0 ⇒     (x + 1) is a factor

f(0) = 0 ⇒       (x + 0) is a factor

f(1) = 0 ⇒       (x -1) is a factor

f(x) as a product of linear factors

x(x + 3)(x + 1)(x - 1)

Answer:

In what?

Step-by-step explanation:

Answer:

There is only one tenth in 15

Answer:

His original farm was 333 1/3 acres

He has 66 2/3 acres of his land left

Step-by-step explanation:

Lex

His total farmland = x

1/2 of x = Mr frost

100 acres = Mr slate

Remaining = 1/5x

His total farmland = Mr Frost + Mr slate + remaining farmland

x = 1/2x + 100 + 1/5x

x = 5x+2x/10 + 100

x = 7/10x + 100

x - 7/10x = 100

10x-7x/10 =100

3/10x = 100

Divide both sides by 3/10

x = 100 ÷ 3/10

= 100 × 10/3

= 1,000/3

= 333 1/3 acres

His original farm was 333 1/3 acres

He has 1/5 of his original farm

1/5 × 1000/3

= 1,000 / 15

= 66 10/15

= 66 2/3 acres

He has 66 2/3 acres of his land left

the volume of cylinder is 3.14 r^2×h

Answer: c

Step-by-step explanation:

The probability that exactly one 6 is rolled is 42.9%

Rolling a six-sided dice and an eight-sided die can yield a variety of results. The probability of rolling exactly one 6 out of the two dice is 6/14, or approximately 42.9%.

This is calculated by taking the total number of ways to roll one 6 (6) and dividing it by the total number of combinations possible (14). This means that there is a 42.9% chance of rolling one 6 when two dice are rolled.

The probability will be calculated by:

6/14

= 0.429

0.42× 100

=42.9

To learn more about probability, click here:

https://brainly.com/question/24756209

#SPJ4

The probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

To solve this problem, we need to use conditional probability.

The probability of drawing a white ball on the first draw is 8/13 (since there are 8 white balls and 13 total balls in the urn).

If a white ball is drawn on the first draw, then there will be 7 white balls and 5 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a white ball was drawn on the first draw, is 7/12.

If a black ball is drawn on the first draw, then there will be 8 white balls and 4 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a black ball was drawn on the first draw, is 8/12.

Now we can use the law of total probability to find the overall probability of drawing a white ball on the second draw:

P(white on second draw) = P(white on first draw) * P(white on second draw | white on first draw) + P(black on first draw) * P(white on second draw | black on first draw)
= (8/13) * (7/12) + (5/13) * (8/12)
= 56/156 + 40/156
= 96/156
= 8/13

Therefore, the probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

To know more about conditional probability, visit:

https://brainly.com/question/30262438

#SPJ11

P(X = 0) = 0.335 Probability = 0.335.The given formula for probability distribution is:P(X) = (n! / x! (n - x)!) * πx * (1 - π)n - xwhere, P = Probability X = Random variable, n = Total number of trialsπ = Probability of success. Let us consider the given probabilities:(a) For n - 5 and π = 0.16, what is P(X:0)?When n = 5 and x = 0, then n - x = 5.

Therefore,

P(X = 0) = (5! / 0! (5 - 0)!) * (0.16)0 * (1 - 0.16)5 - 0= (1 / 1) * 1 * 0.3277= 0.3277Round off the answer to four decimal places as needed.P(X = 0) = 0.3277.(b) For n 9 and x-0.50, what is P(X 8)?When n = 9 and x = 8, then n - x = 1. Therefore,P(X = 8) = (9! / 8! (9 - 8)!) * (0.50)8 * (1 - 0.50)9 - 8= (9 / 1) * 0.00390625 * 0.5= 0.0176.

Round off the answer to four decimal places as needed.P(X = 8) = 0.0176(c) For n 9 and -0.40, what is P(X-7)?When n = 9 and x = 7, then n - x = 2. Therefore,P(X = 7) = (9! / 7! (9 - 7)!) * (0.40)7 * (1 - 0.40)9 - 7= (36 / 1) * 0.0809856 * 0.027= 0.0807.

Round off the answer to four decimal places as needed.P(X = 7) = 0.0807(d) For n-6 and x-0.81, what is P(x-5)?When n = 6 and x = 5, then n - x = 1. Therefore,P(X = 5) = (6! / 5! (6 - 5)!) * (0.81)5 * (1 - 0.81)6 - 5= (6 / 1) * 0.3252718081 * 0.19= 0.3727Round off the answer to four decimal places as needed.P(X = 5) = 0.3727.

To determine the given probabilities, the probability distribution formula has been used. The formula used is:P(X) = (n! / x! (n - x)!) * πx * (1 - π)n - xWhere,P is the probability,X is the random variable,n is the total number of trials, andπ is the probability of success. The first probability is to calculate the probability for n - 5 and π = 0.16, what is P(X:0)?The value of x is zero, and n - x is 5. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The second probability is to calculate the probability for n 9 and x-0.50, what is P(X 8)?The value of x is 8, and n - x is 1. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The third probability is to calculate the probability for n 9 and -0.40, what is P(X-7)?The value of x is 7, and n - x is 2. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The fourth probability is to calculate the probability for n -6 and x-0.81, what is P(x-5)?The value of x is 5, and n - x is 1. The formula is applied to get the probability, and it is rounded off to four decimal places as needed.

Therefore, the probabilities for different values of n, x, and π have been calculated by using the probability distribution formula.

To know more about probability distribution  :

brainly.com/question/29062095

#SPJ11

Answer:

37.5%

Step-by-step explanation:

12\32 = 6\16=3\8 =0.375

=37.5%

Answer:

0.25

Step-by-step explanation:

Well assuming the result of the spin is uniformely random, the yellow area will come up 1/2 of the time (because it takes up 1/2 of the figure).

If it needs to land on yellow both times in two spins, we can take it step by step.

The probability it lands on yellow after the first spin is 0.5

The probability it lands on yellow and then lands on yellow again is 0.5 * 0.5 = 0.25

Think of both spins as 50% yellow, 50% non-yellow

We have 4 options

yellow, yellow

yellow, non-yellow

non-yellow, yellow

non-yellow, non-yellow

Each option is equally probable, so the probability of "yellow, yellow" is 0.25

\(3\)

According to the Remainder Theorem, if we divide a polynomial, \(P(x)\), by \(x -\blue a\), the remainder is \(P(\blue a)\).

If we let \(P(x) = x^2 -1\), the remainder when we divide \(P(x)\) by \(x -\blue 2\) is \(P(\blue 2)\).

The last thing we need to do now is to evaluate \(P(\blue 2)\).

\(&P(\blue 2) &= &(\blue 2)^2 -1 \\ &P(\blue 2) &= &4 -1 \\ &P(\blue 2) &= &3\)

Answer:

Step-by-step explanation:

-4x - 8 + 6 = 5 -3x - 3

-4x - 2 = -3x + 2

-x - 2 = 2

-x = 4

x = -4

For the expression 2(-2x - 4) + 6 = 5 – 3(x + 1) the value of x is -4.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given expression is,

2(-2x - 4) + 6 = 5 - 3(x + 1)

To find the value of x, simplify the expression,

-4x - 8 + 6 = 5 - 3x - 3

-4x - 2 = 2 - 3x

-4 = 4x - 3x

x = -4

The required value of x is -4.

To know more about Algebra on:

https://brainly.com/question/24875240

#SPJ2