Tara picks out 4 paint colors (beige, blue, green, and gray) to paint 4 rooms in her house (living room, dining room, main bedroom, and kitchen). The probability that Tara first paints her bedroom green is .

a. The product of numbers by using distributive property is -605/7.

b. The product of numbers by multiplying fractions is -605/7.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

To find the product of number -11 (7 6/7).

Now, The product of numbers by using distributive property is calculated as;

⇒ -11 (7 6/7) = -11 * (7 + 6/7)

                  = -11 * 7 - 11 * 6/7

                  = -77 - 66/7

                  = (-539 - 66)/7

                  = -605/7

Hence, The product of numbers by using distributive property is -605/7.

And, The product of numbers by multiplying fractions is;

⇒ -11 (7 6/7) = -11 * 55/7

                  = -605 /7

Hence,  The product of numbers by multiplying fractions is -605/7.

So, a. The product of numbers by using distributive property is -605/7.

b. The product of numbers by multiplying fractions is -605/7.

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This is just here for the 20 character limit but the answer is in the picture.

Answer:

14/x+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, find the slope of the given line by finding two points. (0, 3) and (1, 1)

Use the equation for slope rise/run to find the slope.

From the left point to the right point, it goes down 2 units and to the right by 1 unit

-2/1 = -2 = slope

We already know the y-intercept which is  y = 3, when x=0 and when the line crosses the y-axis

y=-2x+3 is the equation of the line.

Perpendicular line's slope is the opposite reciprocal of the original line's slope. Opposite reciprocal of -2 would be 1/2

y = 1/2(x)

y=1/2x -5/2

Answer:

200%

Step-by-step explanation:

\(\boxed{\begin{minipage}{8 cm}\underline{Percent change formula}\\\\$\rm Percent\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$\\ \end{minipage}}\)

Given values:

Substitute the values into the percent change formula to find the percent increase in car sales:

\(\begin{aligned} \implies \textsf{percent change}&=\dfrac{450000-150000}{150000}\times 100\\\\&=\dfrac{300000}{150000}\times 100\\\\ &=2\times 100\\\\&=200\%\end{aligned}\)

Therefore, the percent increase in car sales was 200%.

The series converges absolutely since there exist a p-series with p=6, and since p>1, therefore series converges absolutely.

To determine whether the series ∑(n=1 to infinity) (−1)^n(1 + 1/n^6) converges absolutely, conditionally, or not at all, we need to analyze the terms of the series.

First, let's check for absolute convergence. To do this, we take the absolute value of the terms in the series:
| (−1)^n(1 + 1/n^6) | = | (−1)^n | * | 1 + 1/n^6 |

Since | (−1)^n | = 1, this simplifies to:
| 1 + 1/n^6 |

Now, we need to test this new series for convergence. We can use the comparison test, by comparing it to the series ∑(n=1 to infinity) (1/n^6), which is a p-series with p = 6.

Since 6 > 1, the p-series converges, and because 1 + 1/n^6 > 1/n^6 for all n, the original series also converges absolutely.

Therefore, the series ∑(n=1 to infinity) (−1)^n(1 + 1/n^6) converges absolutely.

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Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32

Answer:

The answer is 8/15

hope it helps you

This problem can be solved using the binomial distribution, where the probability of success is $p=\frac{1}{5}$ and the number of trials is $n=7$.

The probability of exactly $k$ successes in $n$ trials is given by the formula:

$P(X=k) = \binom{n}{k} p^k (1-p)^{n-k}$

where $\binom{n}{k}$ is the binomial coefficient.

For this problem, we want to find $P(X=4)$, which is:

$P(X=4) = \binom{7}{4} \left(\frac{1}{5}\right)^4 \left(\frac{4}{5}\right)^3$

Evaluating this expression, we get:

$P(X=4) = \frac{35}{78125} \approx 0.000448$

Therefore, the probability that exactly 4 of the 7 islands have treasure is approximately 0.000448, or about 0.045%.

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Answer: c

Step-by-step explanation:

The minimum number of hard disks that can be used for implementing a RAID 10 solution is four (option c).  

The minimum number of hard disks that can be used for implementing a RAID 10 solution on the video editor's desktop workstation is four (option c). RAID 10, also known as RAID 1+0, combines elements of RAID 1 (mirroring) and RAID 0 (striping) to provide both data redundancy and improved performance.

In RAID 10, data is mirrored across multiple drives to ensure redundancy. To implement RAID 10, we need at least two sets of mirrored drives, where each set contains a minimum of two hard disks.

The data is striped across these mirrored sets to enhance performance.

With four hard disks, you can create two mirrored sets, each consisting of two drives.

The data is then striped across these mirrored sets, providing both redundancy and improved read/write speeds.

If one drive fails in each mirrored set, the system can still function without data loss due to the mirroring.

This setup provides a balance between data protection and performance.

While more hard disks can be used in RAID 10 for larger capacities and better performance, the minimum requirement is four hard disks.

Using fewer drives would not allow for the necessary mirrored sets and striping required for RAID 10.

By implementing a RAID 10 solution with four hard disks on the video editor's workstation, you can help safeguard against data loss in case of drive failure, ensuring the integrity and availability of important video editing data.  

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Answer:

Worksheet

Step-by-step explanation:

1.) 2 : 5, for every two girls there are 5 boys

1)There are 2 drums and 2 flutes

So the fraction is 2/2 which is simplified to just 1

2) There are 4 sandwiches  10 milk cartons

So the fraction is 4/10 or simplified to 2/5

i cant explain in English sorry but i wrote it down

Answer:

Step-by-step explanation:

A(5/100)=135

A=100(135)/5

A=$2700

Answer:

D

Step-by-step explanation:

5/100 = 135/x

Cross multiply

5 × x = 100 × 135

5x = 13500

Divide both sides by 5 to isolate the variable

x = 2700

$2700

Check work by plugging the x value into the equation

5/100 = 135/2700

Convert 5/100 so that it has the same denominator as the other fraction

5 × 27/100 × 27

135/2700

135/2700 = 135/2700

Do they equal?

Yes, so our answer is correct

A sample size of at least 1,521 Internet users would be necessary to estimate the proportion of interest (the proportion of Internet users who are willing to pay fees for website access) to within 2 percent in a 95 percent confidence interval.

To calculate the sample size required to estimate a proportion with a certain level of confidence and margin of error, we can use the following formula:

\(n = (Z^2 \times p \times (1 - p)) / E^2\)

where:

n is the required sample size

Z is the Z-score for the desired level of confidence (95% confidence corresponds to a Z-score of 1.96)

p is the estimated proportion of interest (the proportion of Internet users who are willing to pay fees for website access)

E is the desired margin of error (2% in this case, expressed as a decimal)

We are given that out of a sample of 13,000 Internet users surveyed in 1995, 2,938 were definitely not willing to pay fees for website access. This means that the proportion of interest (p) is:

p = (13,000 - 2,938) / 13,000 = 0.774

Now we can plug in the values and solve for n:

\(n = (1.96^2 \times 0.774 \times (1 - 0.774)) / 0.02^2\)

n ≈ 1,521

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The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

The analysis of the student loan can be presented as follows;

a. L = 360 - 15·w

b. L⁻¹(w) = 24 - w/15

The inverse function indicates the number of weeks after taking the loan

c. 24 weeks

A loan is a some of money or valuable that is borrowed to be paid back, usually with an interest.

The amount borrowed by the college student = $360

The amount the to be paid per week until the loan is paid off = $15

a. The function for the amount owed = L

The number of weeks after the student borrows the money = w

b. The inverse of a function is a function that produces the input from the output of the function.

The inverse of the function, L, which is, L⁻¹(x),  can be found by making w the subject of the equation for L as follows;

L = 360 - 15·w

15·w = 360 - L

w = (360 - L)/15 = 24 - L/15

w = 24 - L/15

The inverse of the function, which makes w the subject, indicates the number of weeks after the student burrows the loan.

c. When the student pays off the loan, the amount owed, L = 0, therefore;

L = 0 = 360 - 15·w

360 = 15·w

15·w = 360

w = 360/15 = 24

w = 24

The number of weeks it takes the student to repay the loan is 24 weeks

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Oi! Katsuki here!

This question's answer is $12.64.

A thanks would be helpful! Have a great day!

Baku out!

$12.64Answer:

brainliest?Step-by-step explanation:

Step-by-step explanation:

if I understand correctly, one side of the square is 2m⁴n.

so, the area of the square is

side² = (2m⁴n)² = 4m⁸n²

because

(2m⁴n)² = 2m⁴n × 2m⁴n

and that is 4m⁸n²

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

B. 48.

Step-by-step explanation:

16, 23,  55, 64, 49

Range = highest value - least

= 64 - 16

= 48.

Answer:

pi=22/7

2pi=44/7

5pi+1=110/7+1=117/7

pi to the second power=22/7 times 22/7=484/49

Hope this helps, but I don't know.

Answer:

hi

Step-by-step explanation:

a. The critical value for this test is 103.525

b. The power of this test is 0.0001

c. The probability of committing a Type II Error on this test is 0.9999.

a) Using a standard normal distribution table or calculator, we can find the Zα value for α = 0.05. The Zα value for α = 0.05 is approximately 1.645.

Plugging in the values into the formula, we get:

Critical value  = 100 + 1.645 * (15 / √49)

Critical value = 100 + 1.645 * (15 / 7)

Critical value ≈ 100 + 1.645 * 2.143

Critical value ≈ 100 + 3.525

Critical value ≈ 103.525

b) Using the Z-score formula:

Z = (x - μ) / (σ / √n)

Z = (103.525 - 95) / (15 / √49)

Z = 8.525 / (15 / 7)

Z ≈ 8.525 / 2.143

Z ≈ 3.969

Using a standard normal distribution table or calculator, we can find the probability to the right of Z = 3.969. The power is equal to that probability.

The power ≈ 1 - 0.9999

The power ≈ 0.0001

c) The probability of committing a Type II Error is equal to 1 - power. In this case, the probability of committing a Type II Error is approximately:

= 1 - 0.0001

= 0.9999.

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Answer:

i thin C could be wrong

Step-by-step explanation:

Answer:

It’s a

Step-by-step explanation:

Answer:

what is the percentage by mass of

Answer

C. There is a line of symmetry at x = 0.5

D. In the interval from x = -4 to x = 0, F(x) is decreasing

Step-by-step explanation

At the x-intercept of a function, the value of f(x) is zero. From the table, the x-intercepts are (-3, 0) and (4, 0)

At the y-intercept of a function, the value of the x-variable is zero. From the table, the y-intercept is (0, -12)

The table shows the same equidistant values of f(x) from x = -4 to x = 0 and from x = 1 to x = 5, but following an inverse order. This means that the line of symmetry is placed between x = 0 and x = 1, that is,

In the interval from x = -4 to x = 0, the values of f(x) are 8, 0, -6, -10, -12. Each value is less than the previous one, then f(x) is decreasing in this interval

Answer:

3x - 3 = 20

Step-by-step explanation:

Times is a word that represents multiplication. A number can be represented by x.

3x - 3 = 20

Solving this:

3x - 3 = 20     1. Add 3 on both sides

3x = 23           2. Divide by 3 on both sides

x = 7 2/3

A simple random sample of 64 kitchen toasters should be taken to determine the mean operational lifetime with a margin of error of 8 hours and a 95% confidence level.

A confidence interval estimates the range within which a population parameter (in this case, the mean operational lifetime) is likely to lie, based on a sample statistic. The margin of error is the maximum amount by which the sample statistic might deviate from the true population value.

The sample size (n) can be calculated using the formula: n = (Z * σ / \(E)^2\) where Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error. The Z-score is a measure of how many standard deviations a data point is from the mean of a distribution. It can be looked up in a Z-score table, or calculated using software, for a specific confidence level. Commonly used confidence levels include 90%, 95%, and 99%.

To calculate the sample size needed for a confidence interval with a margin of error of 8, we need to use the formula:

n = (\((z-value)^2\) * σ\(^2)\) / (\(E^2\))

Where:
- n is the sample size
- z-value is the critical value for the desired confidence level (let's assume a 95% confidence level, so z-value is 1.96)
- σ is the population standard deviation (given as )
- E is the margin of error (given as 8)

Plugging in the values, we get:

n = \(((1.96)^2 * ^2) / (8^2)\)
n = \((3.8416 * ^2) / 64\)
n = 0.2373 *

Rounding up to the nearest whole number, the sample size needed is:
n = 64

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