In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class has a brother?

Has a brother Does not have a brother

Has a sister 4 2

Does not have a sister 12 10

Answer:

Step-by-step explanation:

x-5

Answer:

-6, 7

Step-by-step explanation:

Answer: B(-6,7)

Step-by-step explanation:

M(-5, 1)      A(-4,-5)       B(x,y)=?

\(\displaystyle\\M_x=\frac{x_A+x_B}{2} \\\\-5=\frac{-4+x_B}{2}\\\\\)

Multiply both parts of the equation by 2:

\(-5(2)=-4+x_B\\\\-10=-4+x_B\\\\-10+4=-4+x_B+4\\\\-6=x_B\\\\Thus,\ x_B=-6\)

\(\displaystyle\\\\\\1=\frac{-5+y_B}{2} \\\\\)

Multiply both parts of the equation by 2:

\(1(2)=-5+y_B\\\\2=-5+y_B\\\\2+5=-5+y_B+5\\\\7=y_B\\\\Thus,\ y_B=7\)

she should use 2 by 6

Step-by-step explanation:

2 divided by 6 will give 0.3 in 1d.p

Answer:

Step-by-step explanation:

Part 1: x represents her bank account

Part2: 135-x=y

Part 3: I'm not sure how long she's worked there, but it would look like: 7.85x=y. X representing number of hours

Answer:

Step-by-step explanation:

The change is 3 but the rate of change is 4% i think sorry if its wrong

Answer:

C)  1 3/4

Step-by-step explanation:

A) 1 3/5=1 12/20

B) 8/5=32/20=1 12/20

C) 1 3/4=1 15/20

D) 1 3/8=less than 1 3/4

Answer:  Choice B) 1 & 3/4

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Work Shown:

Convert each fraction or mixed number into its equivalent decimal form. Use a calculator or long division.

The decimal value 1.75 is larger than 1.6, so this shows that 1 & 3/4 is larger than 1 & 3/5

If the correlation between the independent variables is less than 0.7, we usually conclude that multicollinearity is not an issue.

The estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car is: 20385.25 - 0.03739(mileage) - 686.3368(age) (to decimals). To determine if multicollinearity is an issue for this model, we need to find the correlation between the independent variables (mileage and age). The correlation between age and mileage is not provided in the question, so we cannot determine if multicollinearity is an issue or not.  Based on your provided information, I can help answer your questions.
a. The estimated regression equation to predict the selling price of a used Honda Accord given the mileage and age of the car is:
Selling Price = 20385.25 - (0.03739 * Mileage) - (686.3368 * Age)
b. To determine if multicollinearity is an issue, we need to look at the correlation between the independent variables (mileage and age). Unfortunately, you haven't provided the correlation value in your question. However, if the correlation between age and mileage is less than 0.7 (or -0.7), we can conclude that multicollinearity is not an issue. If it is higher than 0.7 (or -0.7), then multicollinearity would be an issue in this model.

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Step-by-step explanation:

1 ounces equal to 28.35 grams

Apply stoichiometry

as in the picture uploaded

The principal of account A is $250.26

The principal of account B is $500

The account that would  earn you more interest in the first month is account B

Simple interest is the interest earned on an amount of money in a savings account.

Simple interest = principal x time x interest rate

Principal is the amount deposited

Principal = simple interest / ( time x interest rate)

Principal of account A = 4.88 / (6/12 x 0.039) = $250.26

Principal of account B = 24.75 / (27/12 xx 0.022) =$500

Interest earned in the first month:

Account A =  (1/12) x 250.26 x 0.039 = .81

Account B =  (1/12) x 500 x 0.022 =0.92

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Answer:

ya daddy

Step-by-step explanation:

The ounces of snack mix that Grayson made during the family camping is 41.87 ounces.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Grayson added 14.52 ounces of peanuts to 27.35 ounces of granola.

Amount of snack mix = 14.52 ounces + 27.35 ounces = 41.87 ounces.

The ounces of snack mix that Grayson made during the family camping is 41.87 ounces.

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Given:

\(b(1)=-12\)

\(b(n)=b(n-1)\cdot 4\)

To find:

The third term of the sequence.

Solution:

We have,

\(b(n)=b(n-1)\cdot 4\)

For n=2, we get

\(b(2)=b(2-1)\cdot 4\)

\(b(2)=b(1)\cdot 4\)

\(b(2)=-12\cdot 4\)              \([\because b(1)=-12]\)

\(b(2)=-48\)

For n=3, we get

\(b(3)=b(3-1)\cdot 4\)

\(b(3)=b(2)\cdot 4\)

\(b(3)=-48\cdot 4\)              \([\because b(2)=-48]\)

\(b(3)=-192\)

Therefore, the 3rd term of the sequence is -192.

There are 256 possible outcomes for the string of 8 heads/tails that can be produced when flipping a coin eight times.

When a coin is flipped eight times, there are two possible outcomes for each individual flip: heads or tails.

Since each flip has two possibilities, the total number of possible outcomes for eight flips can be calculated by multiplying the number of possibilities for each flip together.

Therefore, the number of possible outcomes for eight coin flips is:

2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 2^8 = 256

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Shifting a graph up and down is known as vertical shifting. This is done by adding a constant to the function's output.

Vertical shifting is a way of changing the position of a graph on the y-axis. It is done by adding or subtracting a constant from the output of the function. For example, if the original function is f(x) = x2, shifting the graph up by 3 would be done by adding 3 to the output of the function, resulting in the function f(x) = x2 + 3. Similarly, a graph could be shifted down by subtracting a constant, for example, f(x) = x2 - 3. This shifts the graph along the y-axis, either up or down, while leaving the x-axis unchanged. This is a useful tool when comparing functions or analyzing changes in a graph over time.

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Answer:

\(xy^3 \sqrt[4]{y^3}\)

Step-by-step explanation:

Recall the exponent property \(a^b+a^c=a^{(b+c)}\).

We can use this property to break the problem down:

\(\sqrt[4]{x^4y^{15}}=\sqrt[4]{x\cdot x\cdot x\cdot x\cdot y^3\cdot y^3\cdot y^3\cdot y^3\cdot y^3}=\boxed{xy^3 \sqrt[4]{y^3}}\)

Answer:

\(xy^3\sqrt[4]{y^3}\)

Step-by-step explanation:

\(\sqrt[4]{x^4y^{15}} =\sqrt[4]{x^4}*\sqrt[4]{y^{15}}\\\\=x\sqrt[4]{y^{15}}\\\\=x(\sqrt[4]{y^{12}} *\sqrt[4]{y^3})\\\\=xy^3\sqrt[4]{y^3}\\\\\\\sqrt[4]{y^{12}} =y^{12/4}=y^3 \\\\\sqrt[4]{x^4} =x^{4/4}=x\)

Answer:

the answer is (0,-1,-2,-3)

Answer:

I need the answer too g

Step-by-step explanation:

Answer:

1. D) 15

2. B) -3

Step-by-step explanation:

I can't provide you with the step by step explanation within 3 minutes but I guarantee you that these are the right answers.

Answer:

1 = 15

2 = -3

Step-by-step explanation:

I used my scientific calculator for answers

Answer:

The answer is 91

since, The Probability is P(5'3" < X < 5'10")  = 91%

Step-by-step explanation:

We assume that the heights follow a normal distribution such that we can use the z-table

Mean = M = 5'6" = 66"

Standard Deviation = S = 2"

We have to find the probability for 5'3" = 60 + 3 = 63" and 5'10" = 60 + 10 = 70" and then subtract them to get the probability of being in between.

To find the probability, we have to find the z-score and then look up the value corresponding to it to get the probability

for 5'3"

P(X < 5'3"),

Calculating the z-score,

z = (x - M)/S

z = (63 - 66)/2

z = -3/2

z = -1.5

Finding the value,

= 0.0668

So,

P(X < 5'3") = 0.0668

for 5'10"

P(X < 5'10"),

Calculating  the z score,

z = (x - M)/S

z = (70 - 66)/2

z = 4/2

z = 2

And looking up the corresponding value we get,

= 0.9772

P(X < 5'10") = 0.9772

The probability in between is then,

P(5'3" < X < 5'10") = P(X < 5'10") - P(X < 5'3")

= 0.9772 -  0.0668 = 0.9104

so,

P(5'3" < X < 5'10")  = 0.9104 = 91.04%

For whole number,

P(5'3" < X < 5'10")  = 91%

So, our estimate for the number of students at the school who would say they play a sport or game outdoors 4 hours per week is 160 students.

In order to estimate the number of students at the school who would say they play a sport or game outdoors 4 hours per week, we can use the sample data provided and make an assumption about the larger population.

First, we can see from the table that 4 students out of the 25 surveyed, or 16%, reported playing a sport or game outdoors for 4 hours per week.

If we assume that this sample is representative of the larger population of 1000 students at the school, we can use this percentage to estimate the number of students who would report playing a sport or game outdoors for 4 hours per week.

To do this, we can multiply the total number of students at the school (1000) by the percentage of students in the sample who reported playing a sport or game outdoors for 4 hours per week (0.16).

1000 x 0.16 = 160

So, our estimate for the number of students at the school who would say they play a sport or game outdoors 4 hours per week is 160 students.

Keep in mind that this is an estimation based on a sample and there could be some degree of error. To reduce the error, it's better to survey a larger sample.

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The grape juice does Sarah use for each cup of water is 3/8 cup .

Given :

Sarah dilutes grape juice for her two-year-old sister. She uses 1/4 cup of grape juice for every 2/3 cup of water .

Let x be the grape juice use for each cup of water .

From the given statements :

1 / 4 cup of grape juice = 2 / 3 cup of water

x cup of grape juice = 1 cup of water

1 / 4 / x = 2 / 3 / 1

cross multiplication

1 / 4 * 1 = 2 / 3 * x

1 / 4 = 2x / 3

2x * 4 = 3 * 1

8x = 3

x = 3/8 cup

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The statement "There is a strong positive correlation between studying and grades" best describes the meaning of a correlation coefficient of 0.93. The correct answer is A.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, a correlation coefficient of 0.93 indicates a strong positive correlation between studying and grades.

A positive correlation means that as the value of one variable (study time) increases, the value of the other variable (grades) also tends to increase. A correlation coefficient close to +1 indicates a strong positive relationship, suggesting that an increase in study time is associated with higher grades. e correct answer is A.

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The study is a randomized controlled trial (RCT) study.

In an RCT study, participants are randomly assigned to either the treatment group or the control group. The treatment group receives the intervention (in this case, one of the two surgery procedures) being studied, while the control group does not receive the intervention.

The participants are then followed to observe the outcome of interest (in this case, the hours to recovery after surgery).

The goal of an RCT study is to determine if the intervention has an effect on the outcome. By randomly assigning participants to the treatment and control groups, any observed differences in the outcome between the two groups can be attributed to the intervention.

This helps to control for other factors that may influence the outcome and reduces the risk of bias in the results.

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The dimensions of the corresponding eigenspaces can be obtained by finding the nullity of the matrix A - λI, which represents the number of linearly independent eigenvectors corresponding to each eigenvalue.

In this problem, we are given a matrix A and we need to find its eigenvalues, their multiplicities, and the dimensions of their corresponding eigenspaces. The statement mentions that if we are unable to factor the characteristic polynomial by hand, we can use a calculator or computer algebra system to find the eigenvalues.

Let's denote the eigenvalues of matrix A as λ1 and λ2.

To find the eigenvalues, we need to solve the characteristic equation, which is given by:

det(A - λI) = 0

Here, A is the given matrix, λ is the eigenvalue, and I is the identity matrix of the same size as A.

Once we find the eigenvalues, we can determine their multiplicities by considering the algebraic multiplicity, which is the power to which each eigenvalue appears in the factored form of the characteristic polynomial.

The dimensions of the corresponding eigenspaces can be obtained by finding the nullity of the matrix A - λI, which represents the number of linearly independent eigenvectors corresponding to each eigenvalue.

Since the statement allows us to use a calculator or computer algebra system, we can utilize those tools to find the eigenvalues, their multiplicities, and the dimensions of the eigenspaces.

Unfortunately, the given matrix A is not provided in the question. Please provide the matrix A so that we can proceed with finding the eigenvalues, their multiplicities, and the dimensions of the eigenspaces.

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Depending upon the numbers you are given,the matrix in this problem might have a characteristic polynomial that is not feasible to factor by hand without using methods from precalculus such as the rationalroot test and polynomial division. On ani exam, you are expected to be able to find eigenvalues using cofactor expansions for matrices of size 3 x 3 or larger, but we will not expect you to go the extra step of applying the rationalroot test or performing polynomial division on Math 1553 exams.With this in mind, if you are unable to factor the characteristic polynomialin this particular problem,you may use a calculator or computer algebra system to get the eigenvalues.

The matrix

A =

has two real eigenvalues >'1 < ,\2. Find these eigenvalues, their multiplicities, and the dimensions of their corresponding eigenspaces . The smaller eigenvalue ,\1= has algebraic multiplicity and the dimension of its corresponding eigenspace is

The larger eigenvalue ,\2  = has algebraic multiplicity and the dimension of its corresponding eigenspace is Do the dimensions of the eigenspaces for A add up to the number of columns of A?  

The limit of ∑ i=1n (5i)( n23) as n tends to infinity is ∞.

Given summation formulas are: ∑ i=1n i= n(n+1)/2

∑ i=1n

i2= n(n+1)(2n+1)/6

∑ i=1n

i3= [n(n+1)/2]2

Hence, we need to calculate the limit of ∑ i=1n (5i)( n23) as n tends to infinity.So,

∑ i=1n (5i)( n23)

= (5/3) n2

∑ i=1n i

Now, ∑ i=1n i= n(n+1)/2

Therefore, ∑ i=1n (5i)( n23)

= (5/3) n2×n(n+1)/2

= (5/6) n3(n+1)

Taking the limit of above equation as n tends to infinity, we get ∑ i=1n (5i)( n23) approaches to ∞

Hence, the required limit is ∞.

:Therefore, the limit of ∑ i=1n (5i)( n23) as n tends to infinity is ∞.

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Answer:

D

Step-by-step explanation:

Proportional relationships are straight lines that go through the point (0,0)

Graph D is the only straight line that goes through (0,0)

Answer:

C

Step-by-step explanation:

Since the graph of the function C is a straight line that passes through the origin (0,0). These are caracterisctics of proportional relationships

Answer:

3,000 words

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

just did the test

There are 5040 ways to arrange these seven leaders in a row. There are 1440 ways to arrange these seven leaders in a row, so that the leader of japan and the leader of canada stand next to each other.

Using the multiplication principle, we multiply all the possible arrangements to determine the total number of configurations if we have seven individuals and want to know how many ways there are to place them in a row of seven seats. For instance, the first seat has seven alternatives, the second has six (as one has been taken), the third has five, the fourth has four, and so on.

So, these seven leaders in a row, so that the leader of japan and the leader of canada stand next to each other.

6! * 2! = 720 * 2 = 1440 .

To arrange these seven leaders in a row we just have to find,

7! = 7x6x5x4x3x2x1

= 5040

These two configurations are both permutations. Therefore, in the case, there are only two potential permutations.

It becomes more difficult if there are seven of us. The multiplication concept must be applied.

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Answer: 24

Step-by-step explanation: 3*2*2*2=24

You can build 24 sundaes

Answer:

x= -5, 2

Step-by-step explanation:

set them equal to each other: \(x^{2}+5x-9=2x+1\)

subtract 2x from both sides: \(x^{2} +3x-9=1\)

subtract 1 from both sides to make it equal to zero: \(x^{2} +3x-10=0\)

find which 2 factors of -10 equal 3: 5 and -2

plug it into: \((x +?)\):  \((x+5) (x -2)\)

set both equations to zero: \(x +5=0\)         \(x-2=0\)

solve:  {x| x=-5, 2}