The following data points represent the number of classes that each teacher at Broxin High School teaches.
Sort the data from least to greatest.
Find the interquartile range (IQR) of the data set.

57511945346

Answer:

true

Step-by-step explanation:

x=3

The value of the variable x is 3. Then the equation is always true.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

(2/3)x + 4 = 2x

Simplify the equation, then the value of x will be

2x + 12 = 6x

4x = 12

x = 3

The value of the variable x is 3. Then the equation is always true.

More about the solution of the equation link is given below.

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Answer:

The cutoff rate that would separate the highest 2.5​% of currency​ A/currency B​ rates is 1.92.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1.832

Standard deviation = 0.044

Top 2.5%

95% of the measures are within 2 standard deviation of the mean.

Since the normal distribution is symmetric, this 95% goes from the 50 - 95/2 = 2.5th percentile to the 50 + 95/2 = 97.5th percentile.

The 97.5th percentile is the cutoff for the highest 2.5% of currency​ A/currency B​ rates, and it is 2 standard deviations above the mean.

1.832 + 2*0.044 = 1.92

The cutoff rate that would separate the highest 2.5​% of currency​ A/currency B​ rates is 1.92.

Answer:

Step-by-step explanation:

1) The confidence interval is calculated as the following

[tex]CI = ( \bar x-1.96 \sigma ,\bar x=1.96 \sigmam)[/tex]

[tex]= (0.412-1.96 \times 0.094, 0.412 = 1.96 \times 0.094)\\\\= (0.22776, 0.59624)[/tex]

Hence, the confidence interval is [tex]0.22776 \leq \beta_G_P_A \leq 0.59624)[/tex]

11) Under two sid t-tailed test, the null hypothesis

[tex]H_0; \beta_{GPA}=0.4[/tex]

Against the alternative hypothesis

[tex]H_1 ; \beta _{GPA} \neq 0.4[/tex]

Under null hypothesis

[tex]t = \frac{\hat \beta _1 - \beta _1}{Se( \beta _1)} \\\\ =\frac{0.412-0.4}{0.094} \\\\=0.12766[/tex]

The degree of freedom is n - 1 = 140

From the t - table at 5% level of significance under two - tail is 1.96

Since , calculated value is lowe than the tabulated value, we do not reject the null hypothesis.

Answer:

25L

Step-by-step explanation:

19396.5 km - 19034.0 km = 362.5‬ km travled

362.5 km / 14.5 km/L = 25L

Answer: 160 times

Step-by-step explanation:

Answer: f(x) = 4  if -1 ≤x ≤ 1

f(x) = x - 1 if 3≤ x ≤ 5

Step-by-step explanation:

if -1 ≤x ≤ 1

We can see that in this range the function is constant, f(x) = 4

if 3≤ x ≤ 5

In this region we can see a linear relationship, with the points (3, 2) and (5, 4)

as the extremes, we can find the slope of this linear equation as:

s = (4 - 2)/(5 - 3) = 2/2 = 1

So our equation is

f(x) = 1*x + b

to find the value of b we can evaluate our function in the first point, we know that when x = 3, y = 2, so we have:

2 = 1*3 + b

b = 2- 3 = -1

then f(x) = 1*x  - 1

Then we have:

f(x) = 4  if -1 ≤x ≤ 1

f(x) = x - 1 if 3≤ x ≤ 5

Answer:

The mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.

Step-by-step explanation:

Total number of cards presented to the contestants, N = 4.

Number of cards that has a star printed on it is, x = 1.

The probability of selecting the correct card is:

[tex]P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]

It is provided that each contestant attempts to identify which card has the star on it for a series of n = 50 trials.

Each trial's outcome is independent of other outcomes.

The success of each trial is denoted by the correct selection of the card with a star.

The random variable X can be explained by the Binomial distribution.

So, X follows a Binomial distribution with parameters n = 50 and p = 0.25.

The mean and standard deviation of a Binomial distribution are:

[tex]\text{Mean}=np\\\\\text{SD}=\sqrt{np(1-p)}[/tex]

Compute the mean and standard deviation of the number of trials where the contestant guesses correctly as follows:

[tex]\text{Mean}=np=50\times 0.25=12.50\\\\\text{SD}=\sqrt{np(1-p)}=\sqrt{50\times 0.25\times (1-0.25)}=3.062[/tex]

Thus, the mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.

[tex]N = 4[/tex] is the overall number of points distributed to the contestant, [tex]x = 1[/tex] reflects the number of decks with a star on them. The probability of selecting the correct card is as follows:

         [tex]\to P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]

         [tex]\to \text{Mean =np}\\\\\to \text{SD}=\sqrt{np(1-p)}\\\\[/tex]

         [tex]\to \text{Mean =np}= 50 \times 0.25= 12.5\\\\[/tex]

             [tex]\to SD=\sqrt{np(1-p)}[/tex]

                        [tex]=\sqrt{50 \times 0.25 \times (1-0.25)}\\\\=\sqrt{50 \times 0.25 \times (0.75)}\\\\= \sqrt{12.5 \times 0.75}\\\\=\sqrt{9.375}\\\\=3.061[/tex]

As just a result, the standard deviation of the number most right guesses by the competitor are [tex]12.50 \ \ and\ \ 3.061[/tex], correspondingly.

Learn more about the contestant guesses:

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Answer: Per 1/2 an hour it is changes by 5 so the constanT rate would be: 5 inches per 1/2 an hour

Answer:

12 inches

Step-by-step explanation:

1/3 of 3 feet = 1 foot

12 inches make 1 foot

so the answer is 12

The number of inches in 1/3 of 3 feet will be 12 inches.

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

1/3 of 3 feet

Then the number of feet is given as,

⇒ (1/3) x 3

⇒ 1 foot

We know that in 1 foot, there are 12 inches. Then we have

⇒ 1 x 12 inches

⇒ 12 inches

The number of inches in 1/3 of 3 feet will be 12 inches.

More about the distance link is given below.

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Answer:

  (-2.25, 1.5)

Step-by-step explanation:

If dilation is about the origin, each of the coordinates is multiplied by the dilation factor:

  P' = (3/8)P = 3/8(-6, 4) = (-18/8, 12/8)

  P' = (-2.25, 1.5)

Answer:

A. 6 inchesssssssss

Answer:

6

Step-by-step explanation:

Answer:

a total of 24 presents can be wrapped

Step-by-step explanation:

6 x 3 = 18 feet of ribbon

18 x 12 = 216 inches of ribbon

216/9 = 24 presents can be wrapped

Answer:

  D. A translation of 4 units to the left followed by a dilation of a factor of 3

Step-by-step explanation:

Of the transformations, rotation, reflection, translation, dilation, the first three (rotation, reflection, translation) are known as "rigid" transformations. They do not change the shape or size of the object. Any result of a rigid transformation is congruent to the original.

Dilation, by its nature, changes the size of the object, so the result is NOT congruent to the original.

Choice D includes dilation, so the image is not congruent to the original.

Answer:

  see below

Step-by-step explanation:

A graph is a function if any vertical line intersects points on the graph only once. The graph of A is a function.

__

Ordered pairs represent a function if no x-value is repeated. In the list of B, the x-value -1 shows up twice. The list of B is not a function.

__

As with ordered pairs, a table represents a function if no x-value is repeated. In the table of C, the x-value 3 shows up twice. The table of C is not a function.

__

A mapping diagram represents a function if each x-value is only mapped to one y-value. In the map of D, the x-value 3 is mapped to two different y-values. The map of D is not a function.

Answer:D

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

55 = 23 + 32

14 and 41 came into my d, but 1 and 4 are 3 apart from each other

(would really appreciate the brainliest)

Answer:

The correct option is (D).

Step-by-step explanation:

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

A small p-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (H₀), so you discard H₀.

A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.

The hypothesis is defined as follows:

H₀: The slope of the regression line is 0, i.e. β = 0.

Hₐ: The slope of the regression line is greater than 0, i.e. β > 0.

A scatter-plot of the measurements taken from 18 randomly selected college athletes displayed a strong positive linear relationship between the two variables; lean body mass and maximal oxygen uptake.

The significance level of the test is, α = 0.05.

The p-value of the test is, p-value = 0.04

As the p-value = 0.04 < α = 0.05, we reject the null hypothesis.

So, it can be concluded that there is a statistical evidence of a relationship between lean body mass and maximal oxygen uptake for college athletes.

Since the scatter-plot shows a strong positive linear relationship, it implies that as the an increase in lean body mass causes an increase in maximal oxygen uptake for college athletes.

Thus, the correct option is (D).

Answer:

  x = 2

Step-by-step explanation:

A graph shows the axis of symmetry easily. It is the x-coordinate of the vertex.

  x = 2

__

You can rearrange the equation to ...

  y -7 = 4x -x^2

  y -7 = x(4 -x)

The axis of symmetry is halfway between x-values that give the same y-value. Here, y=7 for x=0 and for x=4. That is, the right side of this equation is zero at those x-values. The axis of symmetry is halfway between, at x = (0+4)/2 = 2

The axis of symmetry is x=2.

_____

Alternate solutions

In standard form,

  ax^2 +bx +c = y

the axis of symmetry is ...

  x = -b/(2a)

Putting this equation into that form, we have ...

  -x^2 +4x +7 = y

  x = -(4)/(2(-1))

  x = 2 . . . . axis of symmetry

__

We can rearrange the equation to vertex form.

  y -7 = -x^2 +4x

  y -7 -4 = -(x^2 -4x +4) . . . . . add the square of half the x-coefficient inside parentheses. Add an equal amount to the other side of the equation.

  y -11 = -(x -2)^2

This tells us the vertex of the graph is (2, 11), so the axis of symmetry is x=2.

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

The tilt of the axis of Earth and orbit of Earth around the sun.

Step-by-step explanation:

Answer options

The rotation of the Earth and sun.

The tilt of the axis of Earth and orbit of Earth around the sun.

The orbit of the Earth around the sun and rotation of the Earth.

The orbit of the Earth around the sun and rotation of the sun.

Answer:

C - The orbit of the Earth around the sun and rotation of the Earth.

Step-by-step explanation:

Answer:

I hope this helps. Have a great rest of your day!

Do you mind showing the answer choices? I just realized you had "Choose 2 answers".

Answer:

A

Step-by-step explanation:

Cosine X= adjacent /hypotenuse

where adjacent=5 and hyp=13

Cos X=5/13

Answer:

35 yards

Step-by-step explanation:

20yd+15yd

you add 20yd and the 15yd and that is your area.

Answer:

19.5 in²

Step-by-step explanation:

Area of rhombus tile = side × height

Area = 3 × 6.5

Area = 19.5 in²

A rhombus, like any parallelogram, has area equal to base times height,

that's 3×6.5 = 19.5 square inches

Answer: 19.5

Answer:

the correct answer is 35 / 37

Answer:

6

Step-by-step explanation:

x=3

2x = 2(3) = 6

Answer:

-2 & 1/3

Step-by-step explanation:

When you set the two equations equal to each other, they form to parallel, vertical lines. They cross the x-axis at -2 and 1/3. Hope this helps.

Answer:

90 cm.

Step-by-step explanation:

One airplane propeller needs 18 centimetres of wood.

Josh wants to make 5 of them.

So, we would have to take the '18' centimetres of wood and multiply by 5 to get the total for all 5 pieces.

[tex]\text{Number of Propellers} * 18 \text{ Centimetres}[/tex]

[tex]5 * 18 = 90[/tex]

Josh should need 90 centimetres of wood total to make 5 airplane propellers.