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A bowl of fruit is on the table. It contains 3 apples, 2 oranges, and 5 bananas. Ethan and Jordan arrive home from school and randomly grab one fruit each. What is the probability that both grab an apple?

show work pls thanks!

So, the probability of ending up with a three-digit number that is divisible by 4 is 1/24.

To find the probability of ending up with a three-digit number that is divisible by 4 when spinning the spinner three times, we need to consider the possible outcomes that satisfy this condition and divide it by the total number of possible outcomes. Let's analyze the given spinner and its possible outcomes:

Spinner: [1, 2, 3, 4, 5, 6]

To form a three-digit number, the hundreds digit will be determined by the first spin, the tens digit by the second spin, and the units digit by the third spin. A number is divisible by 4 if the last two digits (tens and units digits together) form a number divisible by 4. Therefore, we need to find the number of possible outcomes for the tens and units digits that satisfy this condition.

Possible outcomes for the tens digit: [2, 4, 6]

Possible outcomes for the units digit: [2, 4, 6]

Combining the possible outcomes for the tens and units digits, we have a total of 9 (3 possibilities for the tens digit multiplied by 3 possibilities for the units digit) favorable outcomes. The total number of possible outcomes for each spin is 6 (since there are 6 numbers on the spinner). Since we are spinning the spinner three times independently, the total number of possible outcomes for spinning it three times is 6^3 = 216. Therefore, the probability of ending up with a three-digit number divisible by 4 is:

Probability = favorable outcomes / total outcomes

Probability = 9 / 216

Probability = 1 / 24

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Answer: m = -4

Step-by-step explanation: If they have the same slope, the lines will be parallel.

Hope this helps!

Step-by-step explanation:

Hey there!

Answer: -4

The slope of the lines which are parallel to eachother is equal.

{i.e M1(slope of 1st equation) is equal to m2 (slope of 2nd equation)} (M1=M2)

Therefore, the slope would be -4.

Hope it helps..

This can be done by finding the CPI or another price index for the same period. Once you have the GDP deflator, you can use the formula above to calculate the real GDP.

If you only know the nominal GDP, you cannot determine the real GDP. In order to determine the real GDP, you need to take into account inflation. This is done by adjusting the nominal GDP for inflation using a price index, such as the Consumer Price Index (CPI).The formula for calculating real GDP is:Real GDP = Nominal GDP / GDP DeflatorThe GDP deflator is a measure of inflation that takes into account changes in the prices of all goods and services produced in an economy. It is calculated by dividing nominal GDP by real GDP and multiplying by 100. This gives us a ratio of the current price level to the base year price level.

The base year price level is assigned a value of 100.Using this formula, we can see that if we know the nominal GDP and the GDP deflator, we can calculate the real GDP. For example, if the nominal GDP is $10 trillion and the GDP deflator is 120, the real GDP would be:Real GDP = $10 trillion / 1.2 = $8.33 trillionTherefore, in order to determine the real GDP if you only know the nominal GDP, you need to obtain the GDP deflator.

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The value of the test statistic is  0.711, for the    test at the 5% level of significance that the population variances differ in a random sample  of 20 patients.

Since the information given to us is from a random sample of 20 patients who visited a clinic at medical center 1, a researcher found that the variance of the waiting time (in minutes) was 128.0. in a random sample of 15 patients in the clinic of medical center 2, the researcher found the variance to be 178.8, and tested at the 5% level of significance that the population variances differ. The test statistic for this problem is calculated using the F-test. The formula for the F-test is:

F-test = (variance of sample 1) / (variance of sample 2).  Therefore, the test statistic for this problem is F-test = 128.0 / 178.8 = 0.711.  

To determine the p-value, we need to look up the F-distribution with (df1 = 20-1 = 19, df2 = 15-1 = 14) at a significance level of 5

%. The p-value is 0.347.  Therefore, at a 5% level of significance, the test statistic is 0.711 and the p-value is 0.347. We cannot reject the null hypothesis that the population variances are equal.

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Answer:

area = height x Base/2

Step-by-step explanation:

Answer:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

Step-by-step explanation:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

The mean, mode, and median of the data from the study on families with 6 children are:

Find the total number of girls by multiplying each frequency by its corresponding number of girls and adding them up:

(0 x 1) + (1 x 24) + (2 x 45) + (3 x 54) + (4 x 50) + (5 x 19) + (6 x 7) = 613

Find the mean by dividing the total number of girls by the total frequency:

mean = 613 / (1 + 24 + 45 + 54 + 50 + 19 + 7) = 3.07(rounded to two decimal places)

Find the median by finding the middle number of the set. To do this, we need to add up the frequencies until we reach the middle:

1 + 24 + 45 = 70 (less than the halfway point)

70 + 54 = 124 (greater than the halfway point)

This means that the median is 3.

The mode can be found by finding the number that occurs most frequently. In this case, the mode is 3, since it occurs 54 times.

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Each problem is worth either 5 points or 2 points

Answer:

65

Step-by-step explanation:

y = mx + b

b is the y-intercept

y = 5.2h + 65

65 is the y-intercept

A factorial anova includes only three or more independent variable(s). A factorial ANOVA involves analyzing the effects of two or more independent variables on a dependent variable. Therefore, it requires at least three independent variables to be included in the analysis. The correct answer is d.

Factorial ANOVA is a statistical analysis method used to examine the effects of multiple independent variables on a dependent variable. It involves examining the main effects of each independent variable, as well as the interactions between them.

A factorial ANOVA is typically used when researchers are interested in examining the combined effects of multiple variables on a single outcome. The method can be used in a wide range of fields, from psychology to biology to engineering, and is particularly useful in experimental research designs.

Overall, factorial ANOVA is a powerful tool for analysing complex data and uncovering the underlying relationships between variables. So, the correct answer is D).

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The resulting PDA has the same language as the CFG G. It recognizes strings of the form a^n b^n a^m b^m, where n and m are non-negative integers, and can be used to generate such strings by tracing the transitions of the PDA while keeping track of the stack contents.

The context-free grammar G is:

R → XRX | S

S → aTb | bTa

T → XTX | X | ε

X → a | b

To convert this CFG into an equivalent PDA, we can follow the procedure given in Theorem 2.20:

1) Create a PDA with one state and an empty stack.

2) For each production in the grammar, add a corresponding transition to the PDA. For example, for the production R → XRX, add a transition from the initial state to itself that reads X from the input and pushes R onto the stack, then transitions to a new state, reads X from the input, pops R from the stack, and transitions back to the initial state. Similarly, for the production S → aTb, add a transition that reads a from the input and pushes Tb onto the stack, and so on.

3) Add an accepting state and a transition from the initial state to the accepting state that pops the start symbol R from the stack.

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Answer:

13.91

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached.

From the diagram the length of the vector along x component is given as:

Vx = Vcos(theta)

theta is the angle between the vector and the x axis

V is the length of the vector

Given

theta = 22°

V = 15

Substitute the given values into the formula above

Vx = 15cos22°

Vx = 15×0.9272

Vx = 13.91

Hence the length of the x-component of the vector is approximately 13.91

The constant of proportionality is 0.2

The constant of proportionality for Josiah's speed is 0.2 miles per minute.

To find the constant of proportionality, we can use the formula:

constant of proportionality = distance / time

In this case, we have the distance Josiah skateboards from his house to school is 4 miles, and it takes him 20 minutes.

So, the constant of proportionality is:

4 miles / 20 minutes = 0.2 miles/minute

Therefore, the constant of proportionality for Josiah's speed is 0.2 miles per minute. This means that he skateboards at a constant rate of 0.2 miles per minute from his house to school.

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Answer:

Programmed

Step-by-step explanation:

Programmed Decisons may be classified as those actions which are routinely carried out or performed based on existing rules and protocol. In programmed decision making, the rules are in place, therefore once the criteria or requirement for which the rule or routine is to be enforced arises, programmed Decisons are made. In the scenario, the superintendent required that a programmed Decison be made in cases or situations where enrollment increases by 35 student beyond capacity, Hence, with this, every time this occurs the additional teachers will be hired.

The length of each side of the octagon is 6 cm

It is a polygon with eight sides and eight angles. There are a total of 20 diagonals in it. All its interior angles sum up to 1080°.

Given that, a regular octagon has an area of 288 square centimeters and an apothem of 12 cm.

We need to find the side of the octagon,

We know that area of the octagon = 8/2 × side × apothem

Therefore,

288 = 8/2 × side × 12

side = 288 / 48

side = 6

Hence, the length of each side of the octagon is 6 cm

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Answer:

a

Step-by-step explanation:

bc i said so

Given:

The measure of the print-ready log is 2.5 cm width and 10 cm height.

We need to enlarge the image by a factor of 12.

Multiply width by 12, we get

Multiply the height by 12, we get

For the linera regression equation with dependent variable is monthly expenses for medical care while his independent variable is number of family members. See the above Excel output.

a) The prediction equation is y = 110.47 + 16.83x.

b) Based on his model, each additional family member increases the predicted costs by 16.83 times.

Linear regression equation is used to predict the dependent variable value based on the value of one or more independent variables. We have y, the dependent variable as monthly expenses for medical care and x, the independent variable as number of family members. From the Excel output are present in above figure and we need to find the predicted regression equation. The prediction linear regression equation is written as

a) From the above data the prediction equation is y = 110.47 + 16.83x --(1)

where, y --> monthly expenses

x --> number of family members

b) Based on this model, with an unit increase in family member, the predicted cost increases by 16.83 times. Hence, the required value is 16.83.

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Complete question:

Bob White is conducting research on monthly expenses for medical care, including over-the-counter medicine. His dependent variable is monthly expenses for medical care while his independent variable is number of family members. above is his Excel output.

a) What is the prediction equation?

(b) Based on his model, each additional family member increases the predicted costs by how much?

Answer:

The loudness of a jack hammer is 96 dB. Its sound intensity is about

0.004

The loudness of a compactor is 94 dB. Its sound intensity is about

0.0025

Step-by-step explanation:

The loudness of a jack hammer is 96 dB. Its sound intensity is about 0.004.

The loudness of a compactor is 94 dB. Its sound intensity is about 0.0025.

The sound intensity of the jack hammer is about 1.6 times the sound intensity of the compactor.

The loudness of a pile driver is 112 dB. About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten. 40

Answer:

5/21

Step-by-step explanation:

2/7 x 5/6 = 10/42 which reduces to 5/21

Answer:

5/21!

Step-by-step explanation:

Not sure how to explain this, but if you need help just check out step by step guides.

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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\( \sqrt{ {1}^{2} + {4}^{2} } \: = \sqrt{17} \)

Answer:

The correct option is;

D. g(-13) = 20

Step-by-step explanation:

The given information are;

The domain of the function, g is given as -20 ≤ x ≤ 5

The range of the function, g(x), is given as -5 ≤ g(x) ≤ 45

g(0) =-2 and g(-9) = 6

Therefore, given that the function increases from -2, to 6 as the input variable decreases from 0 to -9

Therefore, if the variable, x, decrease further, to -13, the function will likely increase further, to about 20, while in the variable, x, increases further, to 7, the function may likely decrease to about -1

Therefore, we can get either;

g(-13) = 20 or g(7) = -1

However, the domain of the function is -20 ≤ x ≤ 5, therefore, 7 is outside the domain, giving g(-13) = 20 as the only statement that could be true

The solution is Option C.

The value of the expression is A = -19.5b - 6.9

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of the equation A is

A = 3 ( −4.5b − 2.1 ) − ( 6b + 0.6 )

On simplifying the equation , we get

A = 3 ( -4.5b ) + 3 ( -2.1 ) - 6b - 0.6

A = -13.5b - 6.3 - 6b -0.6

On adding the similar terms in the equation , we get

A = -13.5b - 6b - 6.3 - 0.6

A = -19.5b - 6.9

Therefore , the value of A is -19.5b - 6.9

Hence , The value of the expression is A = -19.5b - 6.9

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Answer:

can you put it for clear in a sentice

Step-by-step explanation: