A= { factors of 30}
B={ Prime numbers less than 10}
C={ Even numbers less than 10}

n(A ∩ B ∩ C) is

Answer:

The correct answer is B

Step-by-step explanation:

First, do the first side which is 5w+8-w

5w+8-w

4w+8

Now the equation on the other side is 6w-2(w-4)

6w-2w+8

4w+8

Answer:

When A is positive there is a minimum vertex.

Step-by-step explanation:

When a parabola is positive the opening goes upwards. When a parabola is negative it goes downwards. The negative sign on the A coefficient means that you reflect your equation across the x-axis

Answer:

The first one.

Step-by-step explanation:

The option b "The area under the curve is 1." and the option d "It is symmetrical" are true about the probability function for a t distribution.

When the sample size is small and the population standard deviation is unknown, the t-distribution is used in statistics.

Option b confirms that the total area under the t-distribution curve is 1, indicating that the sum of probabilities for all possible outcomes is also equal to 1.

Option d confirms the symmetry of the t-distribution, implying that the curve is balanced on both sides of the mean. The mean, median, and mode of a symmetrical distribution are all equal.

To summarize, the t-distribution is a useful tool in statistics when working with small sample sizes because it accounts for the uncertainty in the population standard deviation.

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Answer:

PART A:

To find out how much Preston earns per hour, we can set up an equation using the given information. Let's represent the amount Preston earns per hour as "x". The equation can be written as:

x * 2.4 = $33.00

PART B:

To calculate how much Preston earns in one hour, we need to solve the equation for "x". Dividing both sides of the equation by 2.4:

x = $33.00 / 2.4

Evaluating this calculation:

x ≈ $13.75

Therefore, Preston earns approximately $13.75 per hour.

The number can be -3, -2, -1, 0 ,1

Here, we are given that twice a number is increased by three and the result is between negative three and seven.

Let the number be x

Twice of the number = 2x

Four more than twice the number = 2x + 4

This number is between -3, 7

⇒ -3 < 2x +4 < 7

subtracting 4 from both sides we get

-3 -4 < 2x < 7 - 4

-7 < 2x < 3

Dividing both sides by 2 we get

-7/2 < x < 3/2

- 3.5 < x < 1.5

Thus the original number lies between -3.5 and 1.5

This means that it can take 5 values-

-3, -2, -1, 0 ,1

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Answer:

D

Step-by-step explanation:

Break up.

9*14 + 27*14 + 7*3 = 126 + 378 + 21 = 525

This is area so sq. units.

The correct probability of outcome D, based on the given table, is 3/13.

To determine the probability of D, we need to look at the given probabilities for each outcome. According to the table, the probability of outcome A is 1/13, the probability of outcome B is also 1/13, and the probability of outcome C is 1/13. We are interested in finding the probability of outcome D.

Since the sum of probabilities for all possible outcomes must equal 1, we can subtract the probabilities of outcomes A, B, and C from 1 to find the probability of outcome D.

1 - (1/13 + 1/13 + 1/13) = 1 - 3/13 = 10/13.

However, none of the given options matches the calculated probability. Therefore, we can conclude that none of the provided options accurately represents the probability of outcome D.

In conclusion, the correct probability of outcome D, based on the given table, is 3/13.

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If A, B, C, and D, are the only possible outcomes of an experiment, find the probability of D using the table below. outcome: A B C D Probability: 1/13 1/13 1/13 a. 10/13 b. 1/4 c. 1/13 d. 3/13

Complete question :

The expression 12g gives the number of kilometers a car can travel using g liters of gasoline.How far can this car travel on 6 1/2 liters of gasoline

Answer:

78 km

Step-by-step explanation:

12g = Number of kilometers traveled using g litres of gasoline. - - - (1)

The expression shows that:

Kilometers per gallon = 12

Number of gallons used = miles per gallon * distance

Distance that can be traveled on a 6 1/2 lites of gas :

Here, g = 6 1/2

Substituting the value of g into the expression Given :

Distance = 12g

g = 6 1/2

Distance = 12(6 1/2)

Distance = 12(13/2) = 12(6.5)

Distance = 78 km

Answer:

36

Step-by-step explanation:

Answer:

50 calories

Step-by-step explanation:

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:

= 90/150 = 3/5

One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:

= 12/120 = 1/10

The fat that are provided by a 100 calorie serving of the microwave popcorn would be:

= 3/5 × 100

= 60

The fat that are provided by a 100-calorie serving of the pretzels would be:

= 1/10 × 100 = 10

The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:

= 60 - 10

= 50 calories

Answer:

Supplementary angles add up to 180 degrees more than the other, you can formulate an equation 180=(100+x)+x80=2x so, x=40 the other angle is 100 degrees more. So, the angle lengths are 40 and 140 degrees

The polygon which on rotated gives the given cylinder is a rectangle with dimensions 10 inches × 9 inches.

Given a cylinder with the diameter of the base 18 inches and the height of the cylinder 10 inches.

This cylinder is formed by rotating some polygon around YZ.

The polygon must be a rectangle which has the height or the length equal to the height of the cylinder.

So length = 10 inches

The width of the rectangle will be half of the diameter.

Width = 18/2 = 9 inches

Hence the rotated polygon is a rectangle with length 10 inches and width 9 inches.

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The speed of the runners, obtained by using the equation for speed, which is the ratio of distance traveled to the time it takes, indicates that the fastest runner is Thomas

Speed is the rate at which distance changes with time.

The fastest runner is the one that has the highest ratio of distance to time, which can be found as follows;

\(Speed = \dfrac{Distance}{Time}\)

The distance Caden runs in 6.34 seconds = 60 meters

Therefore, Caden's speed is \(\dfrac{60 \, m}{6.34\, s} \approx 9.46 \ m/s\)

The distance Lorenzo runs in 10.23 seconds is 100 meters, therefore;

Lorenzo's speed is \(\dfrac{100\, m}{10.23 \, s} \approx 9.78 \ m/s\)

The distance Thomas runs in 14.98 seconds is 150 meters, therefore;

Thomas's speed is \(\dfrac{150\ m}{14.98\ s} \approx 10.01 \ m/s\)

The fastest sprinter found from the ratio of the distance a runner runs to the time taken to run the distance, which is the speed of the runner, therefore is Thomas.

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The largest group would be the target population as it encompasses all individuals or objects of interest, while the other groups are subsets or smaller samples of this larger group.

Out of the four groups listed, the largest group would be the target population. The target population is the total group of individuals or objects that the researcher is interested in studying or gathering information about. It is the group that the researcher wants to make conclusions about based on their study results.

The accessible population is a subset of the target population and refers to the group of individuals or objects that are accessible and available for the researcher to study. This group may be smaller than the target population if some individuals or objects are not accessible or willing to participate in the study. The sample is a smaller subset of the accessible population that is actually studied and analyzed. The sample is chosen to be representative of the accessible population and the target population.

The control group is a specific type of sample used in experimental research. It is a group that does not receive the intervention or treatment being studied and is used to compare against the group that does receive the intervention or treatment.

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Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

Answer:

NÚMERO DECIMAL MENOR A 0

Step-by-step explanation:

Answer:

whole number or a mixed number

Step-by-step explanation:

We can get either a whole number  (24/8 = 3)

or an  mixed number  ( 25/3 = 8 1/3)

Answer:

1/3

Step-by-step explanation:

constant proportionality = x/y

x1/y1 , x2/y2 , x3/y3 , ....

5/15 , 10/30 , 6/18 , 9/27 , 2/6

= 1/3 , 1/3 , 1/3 , 1/3 , 1/3

since in all the cases x/y = 1/3 ,

Therefore, the contant proportionality in the given table is 1/3

Hope it's helpful..

The number of trading cards of international players that Elias has will be 240.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

Elias has an assortment of 1,200 baseball exchanging cards. Of these cards, 35% are from the American Association, 45% are from the Public Association, and the rest are worldwide players.

Let n be the number of trading cards of international players. Then the equation is given as,

n + 1200 x 0.45 + 1200 x 0.35 = 1200

Simplify the equation, then we have

n + 540 + 420 = 1200

n + 960 = 1200

n = 1200 - 960

n = 240

The number of trading cards of international players that Elias has will be 240.

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Answer:

x=81

y=33

z=9

SEE THE IMAGE FOR SOLUTION

Answer:

$74.00

Step-by-step explanation:

multiply 40 by 0.83=34 add to 40=74

A researcher testing the hypothesis that men and women differ in the amount of time they spend exercising weekly may use the Repeated Measures ANOVA (Analysis of Variance).

A researcher tests the hypothesis that men and women differ in the amount of time (number of hours) they spend exercising weekly. What statistical test might the researcher use assuming a repeated-measures design?

The repeated measures ANOVA is a statistical test that can be used to assess the significance of the differences between the group means when there is a within-subjects factor in a study. The researcher can also use a t-test to compare the means of two independent groups.

The repeated measures ANOVA requires the following assumptions:

Independence of observations: There should be no relationship between the observations.

Independent variable is categorical and dependent variable is continuous. The data should be normally distributed. Homogeneity of variance: The variances of each group should be the same.

Therefore, a researcher testing the hypothesis that men and women differ in the amount of time they spend exercising weekly may use the Repeated Measures ANOVA (Analysis of Variance).

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True, the Greek letter used to represent the probability of a Type I error is alpha ().

The Greek letter alpha (α) is indeed used in statistics, but it represents the level of significance chosen for a statistical test. The level of significance is the probability of rejecting the null hypothesis when it is actually true. The probability of making a Type I error (rejecting the null hypothesis when it is true) is equal to the level of significance (α) chosen for the test.

Therefore, alpha is not used to represent the probability of a Type I error directly, but it is related to it. The probability of a Type I error depends on the chosen level of significance and the specific hypothesis test being conducted.

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True. The Greek letter used to represent the probability of a Type I error is alpha

This is a statement and not a question. However, if you are asking whether the statement "the Greek letter used to represent the probability of a type i error is alpha (α)" is true or false, the answer is that it is partially true. While the Greek letter α is commonly used to represent the significance level (or the probability of a Type I error) in hypothesis testing, it is not the only letter that can be used.

Other letters such as β and γ may also be used in certain contexts. So the complete answer would be a long answer that explains the partial truth of the statement.

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Translating the point (7,-2) onto (3,0) involves moving the point

The algebraic rule of the translation is (x-4, y + 2)

The given parameters are:

Pre-image = (7,-2)

Image = (3,0)

The transformation is a translation.

So, we have:

(x,y) = Image - Pre-image

This gives

(x,y) = (3,0) - (7,-2)

Evaluate the difference

(x,y) = (-4,2)

Hence, the algebraic rule of the translation is (x-4, y + 2)

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A function X that maps from a sample space to a measurable space is a random variable.

X-1(B) is an event and P(X-1(B)) is the probability of that event, and the converse is true.

Let X be a random variable defined on some probability space.

The definition of a random variable is a real-valued function X on a sample space that is measurable.

If X is a random variable and B is a Borel set, then X-1(B) is an event, and P(X-1(B)) is the probability of that event.

Therefore, X is a random variable since it meets the required conditions.

Yes, the converse is true.

If X is a random variable, then it meets the necessary conditions to be a function that maps from a sample space to a measurable space.

X-1(B) is an event and P(X-1(B)) is the probability of that event.

A random variable X is a function from the sample space to a measurable space that meets certain conditions.

The definition of a random variable is a function that maps from a sample space to a measurable space.

If X is a random variable and B is a Borel set, then X-1(B) is an event, and P(X-1(B)) is the probability of that event.

The converse is true if X is a random variable.

X is a function that maps from the sample space to a measurable space that meets certain requirements.

X-1(B) is an event and P(X-1(B)) is the probability of that event.

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The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

Calculating two points and drawing the line between the two.

Explanation:

To find the y-intercept, put x = 0

y = 2 (0) - 1

y = -1

To find the x-intercept, put y = 0

2x - 1 = 0

2x = 1

x = 1/2

Draw your system of axis. Mark -1 on the y-axis, and 1/2 on the x-axis.

Now draw a line through these two ponts. Add arrows.

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

To draw the graph by using points,

let x = -1, then y = 2 (-1) - 1 = -2 - 1 = -3

first point is (-1; -3)

Let x = 0, y = 2 (0) - 1 = -1

Second point is (0; -1)

Let x = 1, y = 2(1) - 1 = 1

Third point is (1; 1)

Plot the three points and draw a line through them. Add arrows to your line.

45 Answer:

Step-by-step explanation:45

Answer:

45

Step-by-step explanation:

5x9=45

How to get that answer it to count by 5's.

5, 10, 15, 20, 25, 30, 35, 40, 45.

Another way to get there is to count by 9's

9, 18, 27, 36, 45.

Answer:b and c

Step-by-step explanation: