. what is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ? individual question

Answer:

0

Step-by-step explanation:

Direction is defined as the path that something takes. North, south, east and west all are the direction. Up down, left and right are also used to represent the direction. Using the direction chart we get the equator is at 0 distance away from the location of kylie.

Given-

Kylie uses the number 400 to represent 400 miles north of the equator.

Kylie uses the number -2000 to show 2000 miles south of the equator.

What is the direction?

Direction is defined as the path that something takes. North, south, east and west all are the direction. Up down, left and right are also used to represent the direction.

As Kylie use the number 400 to represent 400 miles north of the equator. Thus if he need to back at 400 towards the south to reach back to the equator. Thus the equator is the point from where he has started and the equator is at 0 distance away from the location of kylie where he had started earlier.

Similarly Kylie uses the number -2000 to show 2000 miles south of the equator. Thus if he need to come back at 2000 towards the north to reach back to the equator. Thus the equator is the point from where he has started and the equator is at 0 distance away from the location of kylie where he had started earlier.

Hence both the statement suggest that the equator is at 0 distance away from the location of kylie where he had started earlier.

Answer:

2

Step-by-step explanation:

Weighted mean formula:

\(\overline{x}=\dfrac{\displaystyle\sum^n_{i=1} w_ix_i}{\displaystyle\sum^n_{i=1} w_i}\)

The weighted mean is calculated by dividing the sum of the product of each coordinate and its weight by the sum of the weights.

Given:

\(\begin{aligned}\implies \overline{x} & = \dfrac{w_1x_1+w_2x_2}{w_1+w_2} \\\\ & =\dfrac{2 \cdot -3 + 5 \cdot 4}{2 + 5}\\\\& = \dfrac{-6+20}{7}\\\\& = \dfrac{14}{7}\\\\& = 2 \end{aligned}\)

Therefore, the weighted mean (weighted average) is 2.

Answer:

Average change in height of the plant is 0.5 cm per day.

Step-by-step explanation:

Height of the plant on day 20 = 40 cm

Height of the plant on day 40 = 50 cm

Change in height = 50 - 40 = 10 cm

Number of days between day 20 and day 40 = 20

Average change in height of the plant = \(\frac{\text{Change in height of the plant}}{\text{Duration}}\)

                                                                = \(\frac{10}{20}\)

                                                                = 0.5 cm per day

Therefore, average change in height of the plant is 0.5 cm per day.

Answer:

its 12 feet

Step-by-step explanation:

The equation of the parabola will be y = - (x - 3)² + 9.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The graph shows the height y in feet of a flying insect x seconds after taking off from the ground.

Then the equation that represents the height of the insect as a function will be

From the diagram, the vertex of the parabola is at (3, 9). Then the equation of the parabola will be

y = a(x - 3)² + 9

The parabola is passing through the point (6, 0) will be

0 = a(6 - 3)² + 9

- 9 = 9a

a = -1

Then the equation of the parabola will be

y = - 1(x - 3)² + 9

y = - (x - 3)² + 9

The equation of the parabola will be y = - (x - 3)² + 9.

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Answer:

(-1, 5), (2, -1), (0, 3)

The fraction in lowest terms is 2/3. Option C

First, we need to know that a fraction is described as the part of a whole variable, a whole number or a whole element.

The different  fractions in mathematics are listed thus;

From the information given, we have that;

a+1/b

Such that a = 5 and b = 9

Now, substitute the values, we get;

5 + 1/9

Add the values of the numerator

6/9

Divide the values

2/3

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Answer:

12

Step-by-step explanation:

12.3 would be rounded uo but since it's a whole number it would be 12.

The part of all the money I have left \( \large\bf \implies{ \frac{1}{5}}\)

\(\bf \longrightarrow(1 - \frac{3}{4} ) \times (1 - \frac{1}{5} ) \\ \\ \bf \longrightarrow \frac{4 \times 1 - 1 \times 3}{4} \times \frac{5 \times 1 - 1 \times 1}{5} \\ \\ \bf \longrightarrow \frac{4 - 3}{4} \times \frac{5 - 1}{5} \\ \\ \bf \longrightarrow \frac{1}{4} \times \frac{4}{5} \\ \\ \bf \longrightarrow\frac{ \cancel4}{ \cancel{20} } \\ \\ \bf \longrightarrow\frac{1}{5} \)

Answer:

3/20

Step-by-step explanation:

-

Answer:

0.15

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Answer: 30.5

Step-by-step explanation:

The answer is reasonable because it is positive and also the equation is true . it would take Lara about 5.3 hours to clean the tank by herself.

Let's denote the time it takes for Lara to clean the tank alone as "L". We can use the formula for the combined work rate of two people, which is:

(1/7) + (1/L) = (1/3)

Multiplying both sides by the least common denominator, 21L, gives:

3L + 21 = 7L

Subtracting 3L from both sides, we get:

21 = 4L

Dividing both sides by 4, we get:

L = 5.25 hours (to the nearest tenth)

The answer is reasonable because it is positive, and it is also less than 7 hours, which is Kevin's time. When substituted back into the original equation, we get:

(1/7) + (1/5.25) = (1/3)

0.1429 + 0.1905 = 0.3333

0.3334 ≈ 0.3333

The equation is true, so the answer is reasonable. Therefore, it would take Lara about 5.3 hours to clean.

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The type of research design used in the study is of:

Quantitative research design.

There are two types of research design, and they are classified as follows:

In this problem, the rates of cyberbullying will be analyzed, which is a numeric measure, hence it is a quantitative research design.

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The average number of customers waiting in the queue is 20

In this question, we have been given that the customers arrive at the rate of two per minute.

On average a customer waits 10 minutes in a queue.

We need to find the number of customers waiting in the queue on average.

Assume that the average number of customers waiting in the queue is N.

We have the average Rate of Arrival = 2 customers per minute

So, by the formula for average waiting time under the Single-Server Queue Model,

10 = N/2

N = 10 * 2

N = 20

The average number of customers waiting according to the single-server queue model given the above conditions is 20

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By forming null and alternative hypotheses and using statistical tests, the evidence suggests that the mean speed of trucks on the I-65 highway is less than 69 miles per hour.

In your case, the null hypothesis would be: "The mean speed of trucks on the I-65 highway is equal to 69 miles per hour." The alternative hypothesis would be: "The mean speed of trucks on the I-65 highway is less than 69 miles per hour."

In your case, the sample mean speed of trucks on the I-65 highway was 67.8 miles per hour. To calculate the test statistic, we would use a t-test since the sample size is small (n=30). The t-test would give us a value of t=-1.83. We would then compare this value to a critical value from a t-distribution table with 29 degrees of freedom and a significance level of 0.05. The critical value is -1.699.

Since the test statistic (-1.83) is less than the critical value (-1.699), we reject the null hypothesis in favor of the alternative hypothesis. This means that there is evidence to suggest that the mean speed of trucks on the I-65 highway is less than 69 miles per hour.

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Answer: The length of the rectangle is 16 yards and the width is 12 yards.

Step-by-step explanation:

The length is 4 yds longer than the width. Let's remove that from the perimeter so that the perimeter will be as if all sides had the same length (remember there are 2 sides for length and 2 sides for width).

\(56-4-4\\48\)

Now we made it so that the extra 4 yards are gone and all sides are equal like a square. Now we can divide by 4 to determine the length of each of the now equal sides

\(\frac{48}{4} =12\)

So all of the sides are 12, 12, 12, and 12. To two of the sides we can add back the extra 4 yards we took out giving us sides of 12, 12, 16, and 16.

Let's add it all together and see if it makes the perimeter of 56

\(12+12+16+16\\24+32\\56\)

It does! Since the length is 4 yds longer than the width the length is 16 and width is 12.

Answer:

10/25=×/150

x=60

so 60 students

Answer:

60

Step-by-step explanation:

because I litterly just did the test and got my answers back

Answer:

yes

Step-by-step explanation:

The graph represents a function because it passes the vertical line test

From the complete question, the given graph is a linear graph

All linear graphs represent a function

This is so because they have constant slopes, and they pass the vertical line test

Hence, we can conclude that the graph represents a function

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Answer: :)

Step-by-step explanation: your mom

Answer:

(l*b)

length*breadth

=is answer.

Answer:

5 3/4

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

5 3/4

Step-by-step explanation:'

adding a negative number is just subtracting

Answer:

Question 1

Question 2

Answer:

3/8

Step-by-step explanation:

2 1/8 - 1 3/4

2 1/8 - 1 6/8

17/8 - 14/8

3/8

Answer:

J=16

Step-by-step explanation:

You have to move all the number to the opposite side of the variable.

j-12=4

j=4+12

j=16

Answer:4 \(\frac{5}{7}\)

Step-by-step explanation: First, Divide 33 by 7 Next, Write down the whole number 4 and then write down the remainder as the new numerator (5) above the denominator (7) = 4 \(\frac{5}{7}\)

Answer:

16 miles

Step-by-step explanation:

8*2=16

Brainlest pls?