a) What is the median of this box plot?
b) What is the IQR of this box plot?
c) What is the minimum?
d) What is the maximum?

Given data:

The graph of the given points is shown below.

The slope of the line passing through A(-2, -3) and B(-6, -6).

The slope of the line passing through B(-6, -6) and C(-8, 5).

The slope of the line passing through A(-2, -3) and C(-8, 5).

The product of the slope of line passing through AB and line passing through AC is,

Thus, the line passing through AB and line passing through AC are perpendicular.

Answer: $21000

Step-by-step explanation:

By uwing option A, the salesperson will make (40 × $21) = $840.

Let the amount of sales that is needed for the week to be thesame as option A be x. Therefore,

4% of x = $840

4% × x = $840

0.04x = $840

x = $840/0.04

x= $21000

The salesperson need to sell $21,000 worth of sales

The city's mean annual rainfall is 40.5 inches.To find the mean annual rainfall for the city, we can use the standard normal distribution and the given probability.

We know that the standard deviation (σ) of the city's yearly rainfall totals is 1.8 inches.

We are given the probability P(Z ≥ 1.5) = 0.668, where Z is a standard normal random variable.

Using the standard normal distribution table or calculator, we can find the corresponding Z-score for the given probability:

Z-score = 1.5

Now, we can use the Z-score formula to calculate the mean (μ) of the annual rainfall:

Z = (X - μ) / σ

Plugging in the values we have:

1.5 = (43.2 - μ) / 1.8

Solving for μ:

43.2 - μ = 1.5 * 1.8

43.2 - μ = 2.7

μ = 43.2 - 2.7

μ = 40.5

Therefore, the city's mean annual rainfall is 40.5 inches.

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The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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Answer:

D. 29

Step-by-step explanation:

just did the test and got it correct. Edmentum, Plato.

Answer:

B

Step-by-step explanation:

Its the only one that makes sense

Answer:

16 feet

Step-by-step explanation:

24/ 6 = 4

4 x 4 = 16

16 feet

Answer:

  (b)  x = 5

Step-by-step explanation:

You want to know the value of x if the acute and obtuse angles of an isosceles trapezoid are marked 51° and (28x-11)°.

The acute and obtuse angles in an isosceles trapezoid are supplementary, so ...

  51° +(28x -11)° = 180°

  28x = 140 . . . . . . . . . divide by °, subtract 40

  x = 5 . . . . . . . . . . . divide by 28

The value of x is 5.

__

Additional comment

None of the other answer choices makes any sense, as the angle cannot be greater than 180°. 28x less than 180° means x < 6.4, so there is only one viable answer choice.

None of the answers with decimal values can work, since multiplying by 28 will result in a number with a decimal fraction. The sum of that and other integers cannot be 180°.

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Answer:

20

Step-by-step explanation:

simple 20(4)-15(4)=80-60=20

Answer:

20

Step-by-step explanation:

20 x 4 = 80

15 x 4 = 60

80 - 60 = 20

Answer:

what grade is this?

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

50%

Step-by-step explanation:

This question is solved by C1V1 + C2V2 ÷ V1 + V2 = final concentration

Let x = volume of 70% solution

let's express the concentrations as decimals, so 70% = 0.7, 50% = 0.5, and 40% = 0.4

then 0.7X + 50L.4 ÷ X + 50L = 0.5

this equation becomes 0.5(X + 50) = 0.7X + 20

which yields 0.5X + 25 = 0.7X +20

combining, we get 5 = 0.2X, and 25 = X

when we mix the two volumes, we get 50L x 40% + 25L x 70%,

which yields 20L of 100% alcohol, and 17.5L of 100% alcohol, for a total of 37.5L of alcohol in 75L of solution

which is a final concentration of 50%

There are 25 liters volume of 70% alcohol solution used.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Let volume of 70% alcohol solution = x

So, By given information, we can formulate;

⇒ 70% × x + 40% × 50 / (x + 50) = 50%

⇒ 0.7x + 20 = 0.5 (x + 50)

⇒ 0.7x + 20 = 0.5x + 25

⇒ 0.2x = 5

⇒ x = 25

Thus, The volume of 70% alcohol solution = 25 L

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The Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

To solve the ODE using the Euler method, we divide the interval into smaller steps and approximate the derivative with a difference quotient. Given that the step size is h = 0.5, we will perform three steps to obtain the numerical solution.

we calculate the initial condition: y(0) = -2.

1. we evaluate the derivative at t = 0 and y = -2:

y' = 3(0) - 10(-2)² = -40

Next, we update the values using the Euler method:

t₁ = 0 + 0.5 = 0.5

y₁ = -2 + (-40) * 0.5 = -22

2. y' = 3(0.5) - 10(-22)² = -14,860

Updating the values:

t₂ = 0.5 + 0.5 = 1

y₂ = -22 + (-14,860) * 0.5 = -7492

3. y' = 3(1) - 10(-7492)² ≈ -2.2395 x 10^9

Updating the values:

t₃ = 1 + 0.5 = 1.5

y₃ = -7492 + (-2.2395 x 10^9) * 0.5 = -1.1198 x 10^9

Therefore, after performing three steps of the Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

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Answer:

$1.20

Step-by-step explanation:

18 / 15

1.20

1.20 * 15

18

Therefore $1.20 is your answer

Hope this helps

Answer:

$60.30

Step-by-step explanation:

0.45 x 134 = $60.30

Answer:

The correct answer is 21 km.

Step-by-step explanation:

Because

A = (1/2) · (p + q) · h

Where p is 9 and q is 5 (the bases)

and h is the height (3)

Then:

A = (1/2) · (p + q) · h

A = (1/2) · (9 + 5) · 3

A = (1/2) · (14) · 3

A = (1/2) · 42

A= 21

Brainliest Please!

answer: 21

7 times 3 = 21

Answer:

50% 250x2=450

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

$225 x 2 = 450

this means the cell phones price was reduced by 50%

glad to help ;)

Answer:

Solution

9

1

3

6

Step-by-step explanation:

Answer:

\( - 1 \geqslant x \geqslant 2\)

Answer:

The height of the bullding is 717 ft

Step-by-step explanation:

Right Triangles

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

\(\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}\)

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

\(\displaystyle \tan 82^\circ=\frac{h}{100}\)

Solving for h:

\(h = 100\tan 82^\circ\)

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

Answer:

First blank: 4

Second blank: 3

Third blank: 8

Step-by-step explanation:

The expressions must be equivalent, yet one must read as 4 times the length of the box.

Looking at the given expression, 12x + 32, both numbers can be evenly divided by 4.

Since the blank spaces contain parenthesis, I can assume the problem is asking us to factor the numbers.

This means we put the number 4 on the outside of the parenthesis to display "4 times the side length."

4 × ? = 12

4 × 3 = 12

Substitute 12 for 3.

4 × ? = 32

4 × 8 = 32

Substitute 32 for 8.

4 (3x + 8)

sum of the numbers = - 3

Product of the numbers = 8

sum of squares of the numbers

Let the three terms be a - d , a , a + d.

sum of the numbers = - 3

→ a - d + a + a + d = - 3

→ 3a = - 3

→ a = - 3/3

→ a = - 1

Also,

Product of the numbers = 8

→ (a - d) * (a) * (a + d) = 8

Putting the value of a and using (a + b) * (a - b) = a² - b² we get,

→ [ (- 1)² - d² ] = 8/ - 1

→ 1 - d² = - 8

→ 1 + 8 = d²

→ 9 = d²

→ d = 3

Hence,

Now,

Finding Sum of their squares :

→ (a - d)² + a² + (a + d)²

→ ( - 4)² + ( - 1)² + (2)²

→ 16 + 1 + 4

→ 21

Hence, the sum of the squares of the three terms is 21.

I hope it will help you.

Regards.

Answer is in attachment

Mark brainliest pls :)

Answer:

1) 15000*(1+0.0189)^(5*12) = 46130.16346

2) 15000*(1+0.01975)^(5*3) = 20113.9316

3) 15000*(1+0.0199)^5 = 16553.0954

4) 15000*(1+0.0325*5) = 17437.5

The first one is the best option.

The frequency of data value 1 that is 10 will be 6 as "Dividing each frequency by the total number of data values gives the relative frequency. So multiplying the relative frequency by the total number of data values gives the frequency."

The proportion of outcomes where a specific event occurs to all trials, not in a hypothetical sample space but in a real experiment, is known as the empirical probability, relative frequency, or experimental probability of an event. The relative frequency is calculated by dividing each frequency by the total number of data values. Therefore, the frequency is calculated by multiplying the relative frequency by the total number of data values.

Here,

Value                                           Relative frequency

10                                                  0.15

20                                                 0.30      

30                                                 0.45

40                                                 0.10

data 1 value=10

Dividing each frequency by the total number of data values gives the relative frequency.

So, multiplying the relative frequency by the total number of data values gives the frequency.

40*0.15=6

Since "multiplying the relative frequency by the total number of data values gives the frequency," the frequency of the data value 1 that is 10 will be 6.

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To find the freshman enrollment of 2018, we need to determine the original enrollment figure before the 13.2% increase.

Let's assume the freshman enrollment of 2018 is represented by "x."

According to the information given, the freshman enrollment in 2019 was a 13.2% increase over the previous record in 2018. This can be expressed as:

x + 0.132x = 1060

Combining like terms:

1.132x = 1060

Dividing both sides by 1.132:

x = 1060 / 1.132

x ≈ 937.26

Rounded to the nearest whole number, the freshman enrollment of 2018 at Howard University was approximately 937.

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The probability mass function of the discrete distribution given is; $p(x) =\begin{cases}\frac{1}{3} & \text{for }x=0\\[0.3em] \frac{2}{3} & \text{for }x=1\\[0.3em] 0 & \text{otherwise.}\end{cases}$Let us consider that $Y = X_1 X_2 X_3.$ We need to determine the moment generating function (MGF) of Y.

Let us recall the definition of MGF of a random variable. It is given by;$$M_X(t) = \text{E}[e^{tX}].$$Now, let us compute the moment generating function of Y.$$M_Y(t) = \text{E}[e^{tY}]$$$$M_Y(t) = \text{E}[e^{tX_1X_2X_3}]$$Since $X_1, X_2$ and $X_3$ are independent, it follows that;$$M_Y(t) = \text{E}[e^{tX_1}]\text{E}[e^{tX_2}]\text{E}[e^{tX_3}]$$$$M_Y(t) = M_{X_1}(t)M_{X_2}(t)M_{X_3}(t)$$$$M_Y(t) = \left(\frac{1}{3}e^{0t}+\frac{2}{3}e^{1t}\right)^3$$$$M_Y(t) = \left(\frac{1}{3}+\frac{2}{3}e^{t}\right)^3$$

Hence, the moment generating function of $Y=X_1 X_2 X_3$ is $\left(\frac{1}{3}+\frac{2}{3}e^{t}\right)^3.$

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Answer:

2

Step-by-step explanation:

20-7x=6x-6

20+6=6x+7x

26=13x

x=2

Answer:

This is a type of statistical inference known as a measure of center