The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:

Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)

Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR

The number line for the set of jump distances to make a new record.

Option B is the correct answer.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

The school record in the long jump = 518 cm

Now,

To make a new record the set of jump distances should be greater than 518 cm.

To represent the set of jump distances on a number line we can not have a black dot on 513 on the number line.

The dot should be an open dot.

Thus,

Option B is the number line for the set of jump distances to make a new record.

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By evaluating the linear equation, we can complete the table:

x: -2 | -1 | 0 | 1 | 2 |

y: -3 | -1 |  1 | 3 | 5  |

Here we want to complete the table:

x: -2 | -1 | 0 | 1 | 2 |

y:     |    |    |    |    |

To get the correspondent values in the "y" row, you just need to evaluate the linear function in the given values of x.

Here the function is:

f(x) = 2x - 1

Evaluating it we get:

f(-2) = 2*(-2) + 1 = -3

f(-1) = 2*(-1) + 1 = -1

f(0) = 2*0 + 1 = 1

f(1) = 2*1 + 1 = 3

f(2) = 2*2 + 1 = 5

Now we just put these values in their correspondent place on the table.

x: -2 | -1 | 0 | 1 | 2 |

y: -3 | -1 |  1 | 3 | 5  |

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Answer:

Graph C. Hope this is correct!!!

Step-by-step explanation:

Answer: It should be "B". the vertical axis is the time and the horizontal axis is number of trees.

This is what my teacher sent me.

Answer:

0

Step-by-step explanation:

5.5(-7+7)

5.5(0)

0

Answer:

0

Step-by-step explanation:

putting k = -7

=> 5.5. ( -7 × 7)

=> 5.5 × 0

=> 0

since any number we multiplied by zero is zero

Using the unit circle:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}\)

⸻⸻⸻⸻\(\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}\)

⸻⸻⸻⸻

\(\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}\)

⸻⸻⸻⸻

\(\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}\)

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Answer:

The club can continue to accept customers for 9.66 hours, after which they'll have exceeded 600.

Step-by-step explanation:

339 + 29h = 600

29h = 261

h = 9.66

a. If 1% of the shells are actually defective and we assume Independence, the probability of 0 defective shells in the sample is 82%,

b. if 1% of the shells are actually defective and we assume independence, the probability of 1 defective shell in the sample is 16% and

c. If 1% of the shells are actually defective and we assume Independence, the probability of more than 1 defective shell in the sample is 1.58%.

Given batch = 350 shells

sample = 20 shells

Given 1%10 f shells are defective = 0.01

That is 99% are non detective = 0.99

Using binomial theorem,

1. P(zero defective shells) = 20c0 (0.01)^0(0.99)^20

= 0.82

= 82%

2. P(One defective shells) = 20c1(0.01)(0.99)^19

= 0.16

= 16%

3. P(two defective shells) = 20c2(0.01)^2(0.99)^18

= 0.0158

= 1.58%

Hence the a. If 1% of the shells are actually defective and we assume Independence, the probability of 0 defective shells in the sample is 82%, b. if 1% of the shells are actually defective and we assume independence, the probability of 1 defective shell in the sample is 16% and c. If 1% of the shells are actually defective and we assume Independence, the probability of more than 1 defective shell in the sample is 1.58%.

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Diagonals of a rhombus are perpendicular bisectors to each other

\(\\ \rm\rightarrowtail NR=RP\)

\(\\ \rm\rightarrowtail 2x+1=91\)

\(\\ \rm\rightarrowtail 2x=90\)

\(\\ \rm\rightarrowtail x=45\)

Answer:

x = 45

Step-by-step explanation:

Properties of a rhombus:

As the diagonals bisect each other (bisect means to divide into two equal parts) then NR = RP

So, 91 = 2x + 1

Subtract 1 from both sides:

⇒ 90 = 2x

Divide both sides by 2

⇒ x = 45

Answer: the original cost of the item is 90$

Step-by-step explanation:

30% off of the item = 27$

27 dollar is 30% of the item

thus 27 = 0.30X

0.30X = 27

time both side by 10

3X = 270

270/3 = 90

Answer:

$14.00

Step-by-step explanation:

So, the 20 peaches all weigh 4 oz, and there are 16 oz in 1 pound. 16 oz divided by 4 is also equal to 4 oz, so we need to divide $2.80 by 4, which would be $0.70. That means that a 4 oz peach would be $0.70, so we multiply that by 20, which gives us $14.00, so Stacey will need $14.00 to buy 20 peaches that each weigh 4 oz.

By using the Angle Addition Postulate, we can prove that all three angles of triangle ABC add up to 180°.

The reason that can be used to fill in the numbered blank space is the Angle Addition Postulate.

The Angle Addition Postulate states that the sum of the measures of two adjacent angles is equal to the measure of the larger angle formed by their union. In the context of triangle ABC, we can use this postulate to prove that the sum of the measures of the interior angles of the triangle totals 180°.

By applying the Angle Addition Postulate to each pair of adjacent angles in triangle ABC, we can show that the sum of all three angles is equal to 180°. The three angles in triangle ABC are angle A, angle B, and angle C.

Using the Angle Addition Postulate, we can write the following equations:

angle A + angle B = measure of angle A + B

angle A + angle B + angle C = measure of angle A + B + C

Since the measure of angle A + B + C represents the measure of the larger angle formed by the union of angles A, B, and C, we can conclude that angle A + angle B + angle C is equal to 180°.

Therefore, by using the Angle Addition Postulate, we can prove that all three angles of triangle ABC add up to 180°.

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Sorry, but this problem cannot be simplified.

It stays how it is.

Answer:

70

Step-by-step explanation:

Do you mean 420 ÷ 6

then the answer is 70

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

vertex:  (10, 500)

y = -50 | x - 10 | +500        0 ≤ x ≤ 20

Step-by-step explanation:

vertex:  (10, 500)

y = -50 | x - 10 | +500        0 ≤ x ≤ 20

Step-by-step explanation:

2x+4(3x-13)=4

2x+12x-52=4

14x=4-52

14x=-48

x= -48/14

I think I went wrong somewhere ,so could someone please check

Answer:

$1080

Step-by-step explanation:

If it was 20% off, that means it was 1/5 off because 20% as a fraction is 1/5. Next, if it was 1/5 off that means that $864 represents 4/5 of the price. You can think of it like an equation, where \(\frac{4}{5} x = 864\).

To solve this equation, you would first get rid of the fraction by multiplying both sides by 5:

\(\frac{4}{5} x * 5 = 864 * 5 --> 4x = 4320\)

Next divide both sides of the equation by 4 to solve for x:

\(4x / 4 = 4320 / 4 --> x = 1080\)

The regular price is $1080

You can also check this by doing 4/5 of 1080 = 864

Given that Owen has $1.05 in dimes and nickels. He has 3 more dimes than nickels. We are to find out how many coins of each type he has.Let us assume that Owen has x nickels.

he has x+3 dimes.Since the value of each nickel is $0.05, thus, the value of x nickels is 0.05x dollars.Since the value of each dime is $0.10, therefore, the value of (x+3) dimes is 0.10(x+3) dollars.Owen has a total of $1.05 which can be written as 105 cents.

The total number of coins is the sum of the number of nickels and the number of dimes.1. Therefore, the equation is

5x + 10(x+3) = 105.2.

Simplify the equation:5x + 10x + 30 = 10515x = 75x = 5O

wen has 5 nickels.3. Owen has x+3 dimes.

Since x = 5, then he has 5+3 = 8 dimes

.Owen has 5 nickels and 8 dimes.

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Answer:

1) If the coefficent of any variable is zero then the answer of the variable is 0.

2) There are two answers in a system of equations.

The matrix a for the linear transformation y = ax where x = [x1 x2] is given by:\(\begin{pmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{pmatrix}\)

To find the matrix a in the linear transformation y = ax where x = [x1 x2], we need to use the formula for a linear transformation matrix which is given by:\(\begin{pmatrix}y_1\\y_2\\\vdots\\y_n\end{pmatrix}\) = \(\begin{pmatrix}a_{11}&a_{12}&\cdots&a_{1n}\\a_{21}&a_{22}&\cdots&a_{2n}\\\vdots&\vdots&\ddots&\vdots\\a_{m1}&a_{m2}&\cdots&a_{mn}\end{pmatrix}\) \(\begin{pmatrix}x_1\\x_2\\\vdots\\x_n\end{pmatrix}\)

Where a11, a12, a21, a22 are the coefficients of the linear transformation matrix a. So, using this formula, we can write:y = ax\(\implies\) \(\begin{pmatrix}y_1\\y_2\end{pmatrix}\) = \(\begin{pmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{pmatrix}\) \(\begin{pmatrix}x_1\\x_2\end{pmatrix}\)

Comparing this with the general formula for a linear transformation matrix, we can see that:\(m=n=2\)\(a_{11},a_{12},a_{21},a_{22}\) are the coefficients of the matrix a.

Therefore, the matrix a for the linear transformation y = ax where x = [x1 x2] is given by:\(\begin{pmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{pmatrix}\)

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Answer: 64/81=8/9 is that what you trying to say. O and the answer is False

Step-by-step explanation: Hope this help :D

There is only one value of c that satisfies the requirements.

=======================================================

Work Shown:

Let's compute the function value at the given endpoints of the interval.

\(f(x) = 4\sin(x)\\\\f(\pi) = 4\sin(\pi) = 0\\\\f(0) = 4\sin(0) = 0\\\\\)

Which means,

\(f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(\pi)-f(0)}{\pi-0}\\\\f'(c) = \frac{0-0}{\pi}\\\\f'(c) = \frac{0}{\pi}\\\\f'(c) = 0\\\\\)

We want to find all values of c such that the derivative is 0.

This can be rephrased into wanting to solve \(4\cos(x) = 0\\\\\) since the derivative of sine is cosine

In other words, \(f(x) = 4\sin(x)\\\\\) turns into \(f'(x) = 4\cos(x)\\\\\)

Solving that equation leads to:

\(4\cos(x) = 0\\\\\cos(x) = 0\\\\x = \frac{\pi}{2}\\\\\)

Use a reference table or the unit circle to determine this.

This is the value of c that satisfies f ' (c) = 0, such that \(0 < c < \pi\). No other value of c works.

If you graphed f(x) = 4sin(x), and only focused on the interval [0,pi], then you'll find that there's a horizontal tangent at the point (pi/2, 4). Note how the endpoints have the same y value so that's why the average rate of change over [0,pi] is 0.

Side note: this is an application of Rolle's Theorem

Answer:

y = 4x

Step-by-step explanation:

If you look at the graph, it is crossing the y-axis at the origin of (0, 0).  This means that the y-intercept (or the "b" in your equation of y = mx + b) will be zero.  Since it is a zero, it would not need to be in the equation.  

So, right now we have y = mx + 0, which would simply be just y = mx.

Next, remember that the "m" in this equation represents the slope.  To find the slope on a graph, it is calculated by rise over run.  If you look at your graph, starting at the origin, the rise is going up 4 units and the run is over by 1.  This makes your slope (or your "m" value) the fraction of 4 over 1 (4/1).

This slope can simply be written as 4 because we know that anything over 1 is just equal to the numerator value.

So, this makes the equation for this line in slope intercept form as the following:

y = mx + b

y = (4/1)x + 0

y = 4x

Answer:

\(\boxed{y=4x}\)

Step-by-step explanation:

First, lets see where the line crosses the y-axis at, the line crosses the y-axis at (0, 0), the y-intercept is 0.

We can use slope-intercept form of the equation to solve.

y = mx + b

m = slope

b = y-intercept

We know b = 0

y = mx + 0

y = mx

We need to find the slope.

slope = rise/run

Take two points: (0, 0) and (1, 4)

m = (4 - 0)/(1 - 0)

m = 4/1

m = 4

The slope of the line is 4.

y = (4)x

y = 4x

Probability of labels which are randomly selected by the company to represent that it contain a defective compact disk is equal to 0.0201 .

As given in the question,

Number of companies produced labels = 3

Percent of defective compact disk produced by company i = 5%

Percent of defective compact disk produced by company ii = 3%

Percent of defective compact disk produced by company iii = 1%

Total percent of compact disk produced

By company i = 10%

By company ii = 35%

By company iii = 55%

Probability of selecting randomly compact disk is defective

= ( 5% of 10% ) + ( 3% of 35% ) + ( 1% of 55%)

= ( 0.05 × 0.10) + (0.03 × 0.35)  + ( 0.01 × 0.55)

= 0.005 + 0.0105 + 0.0055

= 0.0210

Therefore, probability of labels which are randomly selected by the company to represent that it contain a defective compact disk is equal to 0.0201 .

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In a probability histogram, there is a correspondence between area and probability. So, the option(d) is right choice for answering this problem.

Probability histograms represent chance of occurrence an event. A probability histogram is a graphical representation that shows the probability of each outcome on the y -axis. It consists of a rectangle centered on for all values x, and the area of each rectangle is proportional to the probability of the corresponding value. The standard normal distribution is a normal probability distribution with μ = 0 and σ = 1. The area above a class interval denotes the chance of occurrence for that class interval. Because the total area under the curve is equal to one, therefore, is a correspondence between area and probability.

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Complete question:

In a probability histogram, there is a correspondence between _______.

a)volume and probability

b) area and volume

c)variation and area.

d) area and probability

The correct answer is option O: 5 V.

To determine the average voltage (Vavg) given a peak-to-peak voltage (Vpp) of 10 V, we need to consider the relationship between Vavg and Vpp in an alternating current (AC) waveform.

The average voltage of an AC waveform is related to its peak-to-peak voltage by the formula: Vavg = 0.5 * Vpp.

Applying this formula to the given Vpp of 10 V, we can calculate the Vavg as follows: Vavg = 0.5 * 10 V = 5 V.

The average voltage is equal to half of the peak-to-peak voltage, resulting in an average voltage of 5 V for a Vpp of 10 V.

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The sampling technique used to obtain the described sample is A. Systematic sampling.

In systematic sampling, the elements of the population are ordered in some way, and then a starting point is randomly selected. From that point, every nth element is selected to be part of the sample.

In the given scenario, the first 35 students leaving the library were selected. This suggests that the students were ordered in some manner, and a systematic approach was used to select every nth student. Therefore, the sampling technique used is systematic sampling.

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Answer: Answer A is correct :)

Step-by-step explanation:

If two predictor values have a very high linear correlation coefficient, both should be included in finding the multiple regression equation.