PLEASE HELP ME ASAP! ILL GIVE BRAINLEST

Answer:

  M(-1/2, -1/2, 1/2)

Step-by-step explanation:

To find the midpoint of a line segment, average the coordinates of the end points.

  M = (A +B)/2

__

  M = (V +W)/2

  M = ((3, 7, -6) +(-4, -8, 7))/2 = (3-4, 7-8, -6+7)/2 = (-1, -1, 1)/2

  M = (-1/2, -1/2, 1/2)

The midpoint between V and W is M(-1/2, -1/2, 1/2).

In a case whereby letters in the word bubble are arranged in a row the number of unique arrangements that are there  in the letters is 120.

From the question we were given the word, bubble  which can be recognized as 6! arrangements  however we know that the  3 B’s are interchangeable, from the word which is to be arranged, and we can see that there are 6 letters all together in the word and can be arranged as;

6!/3!

= 720/6

= 120

Hence, we can conclude the arangement here is 120 unique wayas.

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Answer:

No it is not the same

Step-by-step explanation:

A real number is any number, positive or negative, whole number or decimal.

(EX) 1, 1.00567, -2, -2.659365

Any number!

The p-value associated with the test statistic is 0.018, which is less than the significance level of 10%.

If the p-value is less than the significance level (10%), then the manager can reject the null hypothesis in favor of the alternative hypothesis, which is that the average number of times car owners rotate their tires in a year is less than two.

Based on the sample data of 14 car owners, the mean number of times their tires were rotated in the last 12 months is 1.36, which is less than two. The standard deviation of the sample is 1.16, and the t-test statistic is calculated to be -2.28.

Using a t-distribution table with 13 degrees of freedom (n-1), the critical t-value at a significance level of 10% is -1.771. Since the t-test statistic (-2.28) is less than the critical t-value (-1.771), there is enough evidence to reject the null hypothesis.

Therefore, the manager can conclude that based on this sample data, there is sufficient evidence to suggest that car owners rotate their tires less frequently than the recommended amount in the owner's manual.

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Answer:

12.56 \(cm^2\) is the error in area of circle.

Step-by-step explanation:

Given that:

Radius of the circle, r = 10 cm

Error in measurement of radius, \(\triangle r\) = 0.2 cm

To find:

The error in area of circle = ?

Solution:

First of all, let us have a look at the percentage error in measurement of radius:

\(\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%\)

Now, we know that Area of a circle is given as:

\(A = \pi r^2\)

\(\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%\)

Area according to r = 10

\(A = 3.14\times 10^2 = 314 cm^2\)

Now, error in area = 4% of 314 \(cm^2\)

\(\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2\)

So, the answer is:

12.56 \(cm^2\) is the error in area of circle.

Answer:

\(y=\frac{-2}{3} x+1\)

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: \(y=mx+b\). Here's what the variables mean:

y = the y-coordinate

m = the slope

x = the x=coordinate

b = the y-intercept (what y is equal to when the line crosses the y-axis)

First, we need to calculate the slope of the line (m). The slope is the \(\frac{rise}{run}\) of the line, or in other words, the change in y over the change in x. We can find this by just looking at the graph, between the two given points. For 3 spaces the line travels to the right, it travels downward 2 spaces. Therefore, the slope of the line is \(\frac{-2}{3}\).

We can also calculate this using the formula \(\frac{y_2-y_1}{x_2-x_1}\) by using two points that fall on the line, \((x_1,y_1)\) and \((x_2,y_2)\). Here, we can use the points (-3,3) and (0,1).

\(\frac{y_2-y_1}{x_2-x_1}\\\frac{1-3}{0-(-3)}\)

Two negatives make a positive

\(=\frac{1-3}{0+3}\\=\frac{-2}{3}\)

Then, we need to find the y-intercept of the line (b). We can find this by, again, looking at the graph. The line crosses the y-axis when y is equal to 1, so the y-intercept of the line is 1.

Now, we plug our calculated values back into the original equation:

\(y=mx+b\\y=\frac{-2}{3} x+1\)

I hope this helps!

The probability of drawing a card that is more than 6 is given as 1 / 2.

The term probability can be defined as the concept in mathematics that has to do with the likelihood that an event is going to have to occur.

In the picture we have values that are numbered from 1 to 12 in the face of all of the cards.

The cards that are greater than 6 here are: [7, 8, 8, 10, 11, 12] = 6

The total numbers in the card are: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] = 12

Hence the probability of card that is more than 6 = 6 / 12

= 1/2

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Answer:

160-125=45

I answered this before, I think you have a similar picture.

To find the 15th term of an arithmetic sequence, we need to determine the common difference (d)

Given:

a5 = 10

a10 = 20

The formula to find the nth term of an arithmetic sequence is given by:

an = a1 + (n - 1) * d

We can use the given information to find the common difference (d):

a5 = a1 + (5 - 1) * d

10 = a1 + 4d   ---(1)

a10 = a1 + (10 - 1) * d

20 = a1 + 9d   ---(2)

Now, we can solve these two equations to find the values of a1 and d. Subtracting equation (1) from equation (2) gives:

20 - 10 = (a1 + 9d) - (a1 + 4d)

10 = 5d

d = 2

Substituting the value of d into equation (1) to find a1:

10 = a1 + 4(2)

10 = a1 + 8

a1 = 2

Now that we know a1 = 2 and d = 2, we can find the 15th term (a15) using the formula:

a15 = a1 + (15 - 1) * d

a15 = 2 + 14 * 2

a15 = 2 + 28

a15 = 30

Therefore, the 15th term of the arithmetic sequence is 30.

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Sample 1: Mean=10.01, Standard deviation=13.90 Sample 2: Mean

=11.43, Standard deviation

=14.10

Sample size of 1st year = n1

= 1012Mean of 1st year sample

= X1 = 10.01Standard deviation of 1st year sample

= s1

= 13.90Sample size of 2nd year

= n2

= 1012Mean of 2nd year sample

= X2

= 11.43

Standard deviation of 2nd year sample = s2

= 14.10 Let us assume a significance level of α = 0.05, which implies that the critical region consists of 2.5% in both tails (since it is a two-tailed test).

Therefore, we do not have sufficient evidence to conclude that the mean number of hours per week spent on the Internet differs between 2010 and another year.

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The probability of selecting  a girl to read the poem out loud in her class is 46.4% .

To calculate the probability of selecting a girl to read a poem out loud in a class of 28 students, we can use the formula:

Probability = Number of Desirable Outcomes / Total Number of Outcomes

Here, the desirable outcome is selecting a girl to read the poem, and the total outcomes are all the students in the class.

Number of Desirable Outcomes:

Mrs. Avery has 13 girls in her class, so there are 13 desirable outcomes.

Total Number of Outcomes:

Mrs. Avery has 28 students in her class, so there are 28 total outcomes.

Probability = Number of Desirable Outcomes / Total Number of Outcomes

Probability = 13 / 28

Probability = 0.464 or 46.4%

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Note: The complete question is -Mrs. Avery is planning to have one student read a poem out loud in class. She has a class of 28 students, consisting of 15 boys and 13 girls. What is the probability that she will select a girl to read the poem out loud?

Answer:

2.0612439 x 10 to the 7th power

Step-by-step explanation:

The scientific notation of the population is \(2.0*10^{7}\).

It is required to find the solution.

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. Scientific Notation is the expression of a number n in the form a∗10b. where a is an integer such that 1≤|a|<10. and b is an integer too.

Given :

The given number is

20,612,439

in scientific notation is

\(2.0*10^{7}\)

Move the decimal point so that there is seven non-zero digit to the left.

Hence, the scientific notation of the population is \(2.0*10^{7}\).

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Answer:

11 1/5 feet!

Step-by-step explanation:

He needs a total of 27 9/10 feet! 11 1/2 + 5 1/5 is 16 7/10 feet! If we need 27 9/10 feet, we subtract 16 7/10 ft from 27 9/10 ft to get 11 2/10, which we can reduce 2/10 to be 1/5.

So, he needs 11 1/5 feet of wood more to build the doghouse for his new puppy!

The probability that the first failed inspection occurs on Fatima's 5th inspection i.e P(c = 5) is 0.05..

In probability and statistics,the geometric distribution defines the probability of the first success occurring after k trials. The probability of success is p

P r ( X = k ) = ( 1 − p )⁽ᵏ⁻¹⁾ p.

We have given that,

An emissions inspections on cars is conducted by Fatima.

Probability that car fail the inspection, p = 6% = 0.06

let c denoted the number of cars that are inspected until one car fail to inspection.

The random variable c here. Here c follow geometric probability distribution with probability of success (0.06).

Plugging all known values in above formula we get, p(c= 5) = (1-0.06)⁴ × 0.06

= (0.94)⁴ (0.06)

=0.0468449376~ 0.05

so, the answer is 0.05

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Complete question:

Fatima conducts emissions inspections on cars. She finds that 6%, percent of the cars fail the inspection. Let C be the number of cars Fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.

Required:

Find the probability that the first failed inspection occurs on Fatima's 5th inspection

The averages are less variable as compare to the individual outcomes is a true statement as individual value spread in wide range.

The averages are less variable compare to individual values.

Therefore, the individual values are more variable than averages is a true statement.

The given question is incomplete, I answer the question in general according to my knowledge:

Averages are less variable than individual outcomes is a true statement ? Give reason?

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Answer:

€270

Step-by-step explanation:

If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;

Cost price = 165 * 2 = €330

If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg

If he rests he sells for € 4 per kilo, then;

Selling price = 150 * 4 = €600

Amount earned = €600 - €330

Amount earned = €270

Answer:

Yes b/c y = 12x

Step-by-step explanation:

y = 12x

On solving the provided question we can say that - here in equation we have \(y = 160+ 2 *t= > y = 160 + 2X 30 = > y= 160+ 60 = > y = 220 pounds\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

\(y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds\)

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The mean of the sampling distribution is \($\sigma_{\hat{p}}=0.0704$\)  , where P is \($0.2386$\)

A data set's mean (average) is calculated by summing all of the numbers in the set, then divided by the total number of values within the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data collection is called the mode.

We have given summary statistics are

\($n=50, p=0.45$\)

a) Mean of sampling distribution of \($\hat{p}=p=0.45$\)

Standard deviation of sampling distribution of \($\sigma_{\hat{p}}=\sqrt{\frac{p(1-p)}{n}}$\)

\($\begin{aligned} \sigma_{\hat{p}} & =\sqrt{\frac{0.45(1-0.45)}{50}} \\ \sigma_{\hat{p}} & =0.0703562364 \\ \sigma_{\hat{p}} & =0.0704\end{aligned}$\)

b)For sampling distribution of \($\hat{p}$\)

\($\begin{aligned} & n \times \hat{p}=50 \times 0.45=22.5 > 10 \\ & n \times \hat{p}(1-\hat{p})=50 \times 0.45 \times(1-0.45)=12.375 > 10\end{aligned}$\)

Therefore both the condition of normal approximation to the bionomial are followed.

c) Probability that no more than 40% of customers sample answer yes to the survey is

\($\begin{aligned} & P(\hat{p} < 0.40)=P\left(\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}} < \frac{0.40-0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}\right) \\ & P(\hat{p} < 0.40)=P(Z < -0.71066905452) \\ & P(\hat{p} < 0.40)=0.238645 \\ & P(\hat{p} < 0.40)=0.2386\end{aligned}$\)

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The required dimensions of a rectangular rancher with perimeter for fencing, 3000 feet are equal the 500 feet and 375 feet at maximum area of 3,75,000 ft².

We have a rancher which to construct adjacent, equally sized rectangular pens with the fencing of 3000 feet. Suppose that the rancher need to be fenced in the way shown in the attached figure. Then, the perimeter is 4x + 3y = 3000

=> x \( =\frac{3000 - 3y}{4} \).

The area of rectangle is represented by A=L × W --(1) , where L and W are dimensions of rectangles. The total area will be A = 2× x × y --(2)

=> A = 2× (\(\frac{3000 - 3y}{4}\))× y

= ( \( 1500 - \frac{3y}{2} \))y

= \( 1500y - \frac{3y²}{2} \)

Now, differentiate above area function, with respect to y, and equate to 0, for determining the critical points on the graph, \(\frac{dA}{dy} \) = A'(y) =\( 1500 - \frac{6y}{2} \) = 0

=> y = \(\frac{1500}{3} = 500 \)

Also, x \( =\frac{3000 - 3× 500}{4} \).

\( =\frac{1500}{4} = 375 \).

Maximum area = 375 × 500 × 2 = 375000 ft². Hence, the dimensions that will give the maximum area are 500 feet and 375 feet.

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Complete question : attached figure complete the question.

Answer:

the answer is the cheese soup has a good change of being picked but not as good as the chicken soup there would so 3:2 to 2. so if they picked the cheese soup the first time then there is not a good change of the cheese souo to be picked again i hope that helps if not let me know

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

The range would be 5.

Step-by-step explanation:

When finding the range you take the smallest and largest number from the set of data and subtract them. In this one it is 0 and 5. So, when you subtract that you 5.

We are required to find the range of the given domain

Range is given by the difference between highest value and lowest value.

The range of the domain 0, 1, 2, 3, 4 and 5 is 5

Range = Highest value - Lowest value

Given:

0, 1, 2, 3, 4 and 5

Highest value = 5

Lowest value = 0

Range = Highest value - Lowest value

= 5 - 0

Range = 5

Therefore, the range of the domain 0, 1, 2, 3, 4 and 5 is 5

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Answer:

w^-2 = 1/w^2

a^6

Step-by-step explanation:

We know that a^b * a^c = a^( b+c)

w^3 * w^ -5 = w^(3-5) = w^-2

We know that a^-b = 1/a^b

w^-2 = 1/w^2

We know that a^b ÷ a^c = a^( b-c)

a^4 ÷ a^-2 = a^(4 - -2) = a^6

Answer:

\(\frac{1}{ w^{2} }\)

\(a^{6}\)

Step-by-step explanation:

x^n * x^m = x ^ (n+m)

w^3 * w^ -5 = w^ -2 = \(\frac{1}{ w^{2} }\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x^n ÷ x^m = x^ n-m

a^4 ÷ a^-2 = a^ 4 -(-2) = \(a^{ 6}\)

Based on the information given, it can be noted that the problem with the research is the problem of validity.

It should be noted that in a research, a problem with validity takes place when there's a lack of reliability of the independent variable.

Also, it is a result of lack of representativeness of the independent variable and a lack of impact of the independent variable.

In this case, the researcher sets out to measure drug use on US college campuses by asking a representative sample of undergraduates whether they are currently receiving federal grants or loans. It should be noted that the question asked doesn't relate to the research.

In conclusion, there's a problem with validity.

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We have to find b first: 3 = -3/2(10)+b3 = -15+b18 = bNow right the equation, your slope will be the same one....Y = -3/2x + 18

More

Answer:

w= 3, -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

w can be either 3 or -1

Step-by-step explanation:

-4 |w-1| = -8

Divide both sides by -4

List both cases

|w-1| = 2            |w-1| = -2

w = 3                 w = -1

To solve the system of equations using elimination, we'll eliminate one variable by manipulating the equations.

Let's follow the steps: Given equations: 3x + 2y = -3. 9x + 4y = 3. To eliminate the y variable, we can multiply equation (1) by 2 and equation (2) by -1, which will allow us to add the two equations together: 2(3x + 2y) = 2(-3). -1(9x + 4y) = -1(3). Simplifying the equations: 6x + 4y = -6. -9x - 4y = -3. Now, let's add the two equations together: (6x + 4y) + (-9x - 4y) = -6 + (-3). Simplifying the equation: -3x = -9. Dividing both sides by -3: x = 3. Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use equation (1): 3(3) + 2y = -3. 9 + 2y = -3. Subtracting 9 from both sides: 2y = -12.  Dividing both sides by 2: y = -6. Therefore, the solution to the system of equations is x = 3 and y = -6.

The solutions of system of equations can be represented as the ordered pair (x, y) = (3, -6).

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The approximate probability that the pH measurement of a randomly selected water specimen is between 7.5 and 8.2 is approximately 0.7011 or 70.11%.

To find the approximate probability that the pH measurement of a randomly selected water specimen is between 7.5 and 8.2, we can use the properties of the normal distribution.

Given:

Mean (μ) = 8

Standard deviation (σ) = 0.3

We need to find the probability of the pH measurement falling between 7.5 and 8.2. Let's denote this as P(7.5 < X < 8.2), where X represents the pH measurement.

To calculate this probability, we can standardize the values using the z-score formula:

z1 = (7.5 - 8) / 0.3

z2 = (8.2 - 8) / 0.3

Calculating the z-scores:

z1 ≈ -1.67

z2 ≈ 0.67

Now, we can look up the z-scores in the standard normal distribution table or use a calculator to find the corresponding probabilities.

Using a standard normal distribution table or calculator, we can find:

P(Z < z1) ≈ P(Z < -1.67) ≈ 0.0475 (approximately)

P(Z < z2) ≈ P(Z < 0.67) ≈ 0.7486 (approximately)

To find the probability between 7.5 and 8.2, we subtract the lower probability from the upper probability:

P(7.5 < X < 8.2) ≈ P(Z < z2) - P(Z < z1)

≈ 0.7486 - 0.0475

≈ 0.7011

Therefore, the approximate probability that the pH measurement of a randomly selected water specimen is between 7.5 and 8.2 is approximately 0.7011 or 70.11%.

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Answer: 48.6%

Step-by-step explanation:

Subtract all of 'em
1060-125-140-280= 515
Divide your answer with 1060
515/1060= 0.4858490566037736
Move the decimal to the right 2 times to make the percentage then round up
0.4858490566037736 = 48.6%

(I hope this helped!)