What do you know to be true about the values of p and q?
AA
60
50
30
80
A. p= q
OB. p O C. p> q
OD. Can't be determined

Yes. \(f(x)\) is a PDF if

• \(f(x) \ge 0\) for all \(x\) in the support; this is true, since \(e^{-x}>0\) for all \(x\), and multiplying a positive number \(x\) doesn't change this fact;

• the integral of \(f(x)\) over its support is 1; this is also true, since

\(\displaystyle \int_{-\infty}^\infty f(x) \, dx = \int_0^\infty xe^{-x} \, dx = 1\)

which can be computed by parts.

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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The missing side length for the two similar triangle is (x = 7/3).

In the given question, two triangle are given.

As, both triangles are similar. Then, the ratio of their corresponding sides are equal.

Thus,

7/12 = x/4

x = 3/7

Therefore, the missing side length x for the two similar triangles is 7/3.

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Answer: B

Step-by-step explanation: ik

Answer: A: 210 B: 26.25

Step-by-step explanation: i forgor

Answer:

Step-by-step explanation:

-439 is the value which is equivalent to (s circle t) (negative 7).

Given,

s(x) = 2 - x²

t(x) = 3x

We have to find the value which is equivalent to (s circle t) (negative 7)

That is,

(s circle t) (negative 7) : This is a notation for compound function.

A function that takes another function as an argument is referred to as a compound function.

s(t(-7)) is the alternative notation for this compound function, which means that the value obtained from the function t(-7) will be used in the function s. (x).

Now, let's calculate the value of t(-7):

That is,

t(x) = 3x

t(-7) = 3 × (-7) = -21

Next, apply the value of t(-7) for s(x)

That is,

s(x) = 2 - x²

s(t(-7)) = s(-21) = 2 - (-21)^2 = 2 - 441 = -439

That is, -439 is the value which is equivalent to (s circle t) (negative 7).

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The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of hours be x

Let the number of boxes be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 5 , 60 )

Now , the slope of the line m = y/x

Substituting the values in the equation , we get

Slope m = 60 / 5 = 12

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 12 ( x - 5 )

y - 60 = 12x - 60

y = 12x

Now , when x = 18 hours

y = 12 ( 18 ) boxes

y = 216 boxes

Hence , the number of boxes is 216 boxes

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Since Damian dove 5 feet under the water and then went back to the surface, he is now 0 feet below the surface. An integer that represents this is 0.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction.

Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.

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Answer:

Step-by-step explanation:

A common everyday counting unit that is used to mean 12 of an object is a Dozen

Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.

Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."

Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.

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The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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Answer:

rational #, natural #, whole #

Step-by-step explanation:

Answer:

384

Step-by-step explanation:

the cost of the shirt is 13, pants is 11, and 8 for socks

13+11+8=32

the cost of 12 uniforms:12(13+11+8)=384

In a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the error term come from a normal distribution.

In a simple linear regression model, the normal quantile plot of the residuals is a graphical tool used to assess the normality assumption of the error term (also known as the residual). The error term represents the difference between the actual value of the dependent variable and the predicted value by the model.

Assuming that the error term follows a normal distribution is important for various reasons. Firstly, the normal distribution is a very common assumption in statistics, and many statistical methods rely on it. Secondly, a normal distribution of the error term is essential for making reliable predictions and for computing valid confidence intervals.

The normal quantile plot of the residuals compares the distribution of the residuals against a theoretical normal distribution. The plot consists of a straight line if the residuals are normally distributed. However, if the plot shows deviations from the straight line, it indicates non-normality in the residuals.

If the normality assumption is not satisfied, we need to explore the reasons for the non-normality and consider alternative methods to analyze the data, such as non-parametric methods.

Therefore, the normal quantile plot of residuals is an essential diagnostic tool in simple linear regression, as it allows us to evaluate the assumption of normality and make appropriate adjustments to the model.

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Answer:

Sine rule states that the ratio of a side of a triangle to the angle opposite the side is equivalent for all 3 sides and their respective opposite angles.

\(\boxed{ \frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c} }\)

Thus, the side opposite ∠B is side AC, which is 10 units long. The side opposite ∠A is side BC, which is 8 units long. Substitute these values into the formula. (We are at line 2 of working)

Line 3: multiply both sides by 10 to find sinB

This would give us

\( sinB = \frac{10sin34°}{8} \)

This is can also be written as: (as seen in line 4)

\(sinB = \frac{10}{8}( sin34°)\)

To find the measure of angle B:

\(m∠B = sin^{ - 1} ( \frac{10sin34°}{8} ) \\ m∠B = 44° \\ (nearest \: degree)\)

~ Explanation for line 6 and onwards~

The sine of an angle is positive in quadrants I and II. Since sinB is positive (≈0.69899), we are looking at these 2 quadrants. Since the reference angle is 44° rounded off to the nearest whole degree, in quadrant I, the angle would be 44° too.

In quadrant 2, the angle would be 180° -44°= 136°.

Answer:

40

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Radius is diameter divided by 2.

20 divided by 2 = 10.

See solution below

Explanation:

a) 5x - 7 ≤ -2

collect like terms:

5x ≤ -2 + 7

5x ≤ 5

Divide through by 5:

x ≤ 1

From the graph above, the inequality has a solution.

b) 2/3b > -8

Cross multiply:

2 > -8(3b)

2 > -24b

Divide through by -24:

Note: when we divide an inequality by a negative number, the inequality sign changes.

2/-24 < b

-1/ 12 < b

Hence, b > -1/12

Note: To make it easier to graph, I represented b with x

From the graph above, the inequality has a solution.

c) 3w - 7 - w < 2w + 4

2w - 7 < 2w + 4

collect like terms:

2w - 2w < 4 + 7

0 < 11

Note: To make it easier to graph, I represented b with x

From the graph, the solution is for all real numbers.



The number of students who do not like both games is 3

John Venn popularized the Venn diagram in the 1880s, which is a type of diagram that displays the logical relationship between sets. The illustrations are used in probability, logic, statistics, linguistics, and computer science to demonstrate basic set relationships and to teach rudimentary set theory.

Students who like only volleyball=17-10=7

Students who like only basketball=15-10=5

Students who like both sports =10

Students who like one or more sports =7+5+10=22

Students who do not like any sport =25-22=3

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In a class of 25 students, 17 like volleyball, 15 like basketball and 10 like both games. Find the number of students who don't like any of the games.

In the given square ABCD, the value οf x will be 7 and the value οf DE will be 39.5.

A pοlygοn with fοur edges, fοur angles, and fοur vertices is called a quadrilateral. The Latin terms quadri, which means fοur, and latus, which means side, were cοmbined tο create the English wοrd quadrilateral.

A square is a regular quadrilateral with fοur equal-length edges and fοur equal-length angles. The square's edges are at a right angle οr 90 degrees. The square's diagοnals are alsο prοpοrtiοnate and split at a 90 degree angle. A rectangle with twο οppοsite edges that are the same length can alsο be referred tο as a square.

A diagοnal is a line segment that jοins twο οppοsing pοlygοnal pοints (οr cοrners). In οther terms, a diagοnal is a line segment that jοins twο pοlygοnal vertices that are nοt adjacent tο οne anοther. It cοnnects a pοlygοn's vertices, excluding the figure's sides.

In this questiοn,

Since in a square, diagοnals are equal tο each οther,

AC=BD

2x-5=7x=30

5x=30

x=7

Alsο, in a square the diagοnals bisect each οther,

Therefοre,

DE=1/2 οf BD

DE= 1/2(7x+30)

Substituting value οf x,

DE=79/2

DE=39.5

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The sequence in which the three classes might be served in order to achieve the WFQ weights is: Class 1: 25%, Class 2: 50%, Class 3: 75%

WFQ scheduling policy stands for the Weighted Fair Queuing scheduling policy. It is a packet scheduling technique that is utilized in Quality of Service (QoS) for network resources that are shared among different applications and users. The WFQ technique aims at equalizing the traffic and providing fair access to network resources. WFQ is an improvement over traditional Round Robin scheduling.

WFQ assigns the weights to different classes and sorts the packets in the buffer based on priority. It then serves the packets by assigning transmission time slots to them. The packets with the highest priority are served first and so on until all the packets have been served.

The WFQ scheduling policy is applied to a buffer that supports three classes of priority packets, and the weights are 0.25, 0.5, and 0.75 for the three classes. To achieve the WFQ weights, the three classes might be served in the following sequence: Class 1: 25%, Class 2: 50%, Class 3: 75%

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The region common to both the cylinder x^2 + y^2 = 4 and the ellipsoid 4x^2 + 4y^2 + z^2 = 64 is an ellipse centered at the origin in the xy-plane.

The given cylinder x^2 + y^2 = 4 represents a circular cross-section in the xy-plane with radius 2. The equation of the ellipsoid 4x^2 + 4y^2 + z^2 = 64 describes a three-dimensional surface centered at the origin, with its major axes along the x, y, and z directions. By intersecting the cylinder and the ellipsoid, we find the common region between them.

To determine the intersection, we substitute x^2 + y^2 = 4 into the equation of the ellipsoid. This gives us 4(4) + z^2 = 64, which simplifies to z^2 = 48 and z = ±√48. However, since we are looking for the region inside both surfaces, we take z = -√48.

Thus, the common region lies in the xy-plane (z = 0) and is given by the equation x^2 + y^2 = 4. This equation represents an ellipse centered at the origin, with its major axis along the x-axis and a radius of 2. Therefore, the region common to both the cylinder and the ellipsoid is an ellipse centered at the origin in the xy-plane.

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Answer: 2x^2t+7xy

Step-by-step explanation:

The required probability that the first lefty is the fifth person chosen is 0.074.

Probability is tied in with assessing or working out how likely or 'plausible' something is to occur. The opportunity of an occasion happening can be depicted in words, for instance 'certain', 'unimaginable' or 'probable'. In math, probabilities are constantly composed as portions , decimals or rates with values somewhere in the range of 0 and 1.

Probability of being left given = 0.13

Probability of being not left given = 1-0.13 =0.87

They select an example of five clients at irregular in their stores

So,

a). The main lefty is the fifth individual picked

Then,

Probability that first lefty is the fifth individual picked =

0.87×0.87×0.87×0.87×0.13 = 0.074

Thus, required probability is 0.074.

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The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.

Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.

To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.

However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.

Therefore, the largest value is 95.

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Answer:

-9/4

Step-by-step explanation:

A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.

∆PQR and ∆SQT are similar, so corresponding sides occur in fixed ratios with one another. This means

SQ / PQ = ST / PR

Solve for x :

8 / ((x + 5) + 8) = (x - 9) / 21

8 / (x + 13) = (x - 9) / 21

168 = (x - 9) (x + 13)

168 = x² + 4x - 117

x² + 4x - 285 = 0

(x + 19) (x - 15) = 0

⇒   x = -19   or   x = 15

But x can't be smaller than 9, otherwise ST = x - 9 would be a negative length. So x = 15.

Answer:

Step-by-step explanation:

false that is not at all true

If a ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls, the probability of drawing a red ball from the jar is approximately 0.47 or 47%.

The probability of a red ball being drawn from the jar can be calculated as follows:

Total number of balls in the jar = 8 red + 3 white + 6 yellow = 17

Probability of drawing a red ball = (Number of red balls in the jar) / (Total number of balls in the jar) = 8/17 ≈ 0.47

This means that if we were to draw a ball from the jar randomly, there is a 47% chance that the ball we draw will be red.

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Complete question is:

A ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls. find the probability of the given event.

What is what is the probability of a Red ball being drawn?