X-7y=10 and 2x+14y=21 is it parallel, perpendicular or neither and why

Answer:

To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.

Step-by-step explanation:

Answer:

8-6i

Step-by-step explanation:

complex number in standard form will be in the form of a+bi

(-2 − 2i) + (10 − 4i) , open parenthesis

-2- 2i +10 -4i, group like terms

-2+10 -2i -4i, combine like terms

8 - 6i

11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).

Step-by-step explanation:

the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the

a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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Answer:

$16

Step-by-step explanation:

1. Simplify 12/45 which is now 4/15. Now we know $4 is made every 15 minutes.

2. Divide into 60(minutes) by the the 15. So 60÷15=4. Now we the number of times 15 can be divided into 60.

3. Multiply the ratio 4/15 by 4/4 to see how much is made in an hour. 4x4/15×4=16/60.

$16 is made in 60 minutes (1 hour).

Answer:

domain are -1,-2,-3

Step-by-step explanation:

range are also -1,-2,-3

Answer:

70%

Step-by-step explanation:

the formula for percent of change is:

New value - Old value divided by Old value

we can write this algebraically as:

(6-20)/20 which is -14/20

the negative simply implies a 'decrease' from old to new

14/20 equals 70/100 or 70%

Answer:

The answer to your question is 70% decrease

Step-by-step explanation:

I hope this helps and have a wonderful day!

Answer:

There is 20 sixth graders

Step-by-step explanation:

This is because there is 90 student over all, and only 2 out of 9 are sixth graders, which means 2/9 stands for 20/90

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Answer:

14-2i

Step-by-step explanation:

\(\left(3+5i\right)+\left(11-7i\right)\\\\Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3+11\right)+\left(5-7\right)i\\3+11=14\\5-7=-2\\\\=14-2i\)

First turn them all into decimals.

Divide the numerator (top) by the denominator (bottom).

3/10 is .3 and doesn’t repeat.

1/3 is .333333.....

6/12 is .5, doesn’t repeat.

3/4 is .75, also doesn’t repeat.

1/3 is the repeating decimal.

Answer:

12x^4y^7

Step-by-step explanation:

base(b)=8x^3y^5

height(h) =3xy^2

Area= (b x h)/2 =12x^4y^7

Answer:

\(A = 12x^4y^7\)

Step-by-step explanation:

The formula for the area of a triangle is:

\(A = \dfrac{1}{2}bh\)

where \(b\) is the length of the triangle's base and \(h\) is the length of the triangle's height.

In this problem, we are given the length of the base of the triangle as \(8x^3y^5\) and the length of the height of the triangle as \(3xy^2\).

Thus, the area of the given triangle is:

\(A = \dfrac{1}{2} \cdot 8x^3y^5 \cdot 3xy^2\)

We can simplify this by combining like terms and using the exponent addition rule (\(x^a \cdot x^b = x^{a+b}\)).

\(A =\left(\dfrac{1}{2} \cdot 8 \cdot 3 \right)(x^3 \cdot x)(y^5 \cdot y^2)\)

\(A = (4 \cdot 3)(x^{3 + 1})(y^{5+2})\)

\(A = 12x^4y^7\)

each sunflower is $2.25. please mark brainliest and have a great day.

Answer:

answer in explanation

Step-by-step explanation:

Mean: 13

Median: 9

Mode: 9

Range: 28

The mean,median,mode and range of the data will be 13,9,9 and 28.

Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.

Thus, we get;

\(\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}\)

\(\rm Mean= \frac{3+25+9+30+9+2}{6} \\\\ Mean=13\)

Arrange the data in the ascending order;

2,3,9,9,25,30

The median of the data set is;

\(\rm Median = \frac{9+9}{2} \\\\ Median =9\)

Mode is the value appear most of the time in the data set;

9 is the number repeat two times in the data set.

Mode = 9

Range of the data is the difference of the maximum and the minimum value;

Range=30-2

Range=28

Hence,the mean,median,mode and range of the data will be 13,9,9 and 28.

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Answer:

I'm pretty sure congruent means if you split them in half will they be the same shape

Step-by-step explanation:

so Yes they are congruent because if you cut a diamond in half it's going to be two triangles two triangles that are the exact same size and if you fold them they're going to be the same

Answer:

84,000 cm³

Step-by-step explanation:

This is a prism with a trapezoidal base.

V = BH

where V = volume of prism, B = area of the base, H = height of the prism

For the trapezoid, the area is

A = ½(b1 + b2)h,

where A = area, b1 and b2 are the bases, and h is the height of the trapezoid.

V = ½(b1 + b2)hH

V = ½(60 cm + 45 cm) (20 cm)(80 cm)

V = 84,000 cm³

Answer:

16 m

Step-by-step explanation:

Answer:

a) X ~ N(70,12)

b) ¯ x ~ N(70,1.6971)

c) For a single tire, 0.0541 = 5.41% probability that the number of miles (in thousands) before it will need replacement is between 72.1 and 73.8. For the 50 tires tested, 0.0950 = 9.50% probability that the average miles (in thousands) before need of replacement is between 72.1 and 73.8.

d) No

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. What is the distribution of X ?

Single tire, so normal with mean \(\mu = 70\), standard deviation \(\sigma = 12\)

So X ~ N(70,12).

b. What is the distribution of ¯ x ?

Sample of 50.

By the Cental Limit Theorem, the mean stays the same.

The standard deviation will be \(s = \frac{12}{\sqrt{50}} = 1.6971\)

So

¯ x ~ N(70,1.6971)

c. f a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 72.1 and 73.8.

This is the pvalue of Z when X = 73.8 subtracted by the pvalue of Z when X = 72.1. So

X = 73.8

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{73.8 - 70}{12}\)

\(Z = 0.32\)

\(Z = 0.32\) has a pvalue of 0.6255

X = 72.1

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{72.1 - 70}{12}\)

\(Z = 0.18\)

\(Z = 0.18\) has a pvalue of 0.5714

0.6255 - 0.5714 = 0.0541

For a single tire, 0.0541 = 5.41% probability that the number of miles (in thousands) before it will need replacement is between 72.1 and 73.8.

For the 50 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 72.1 and 73.8

50 tires, so by the Central Limit Theorem, we use s in the z-score formula.

X = 73.8

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{73.8 - 70}{1.6971}\)

\(Z = 2.24\)

\(Z = 2.24\) has a pvalue of 0.9875

X = 72.1

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{72.1 - 70}{1.6971}\)

\(Z = 1.24\)

\(Z = 1.24\) has a pvalue of 0.8925

0.9875 - 0.8925 = 0.0950

For the 50 tires tested, 0.0950 = 9.50% probability that the average miles (in thousands) before need of replacement is between 72.1 and 73.8.

d. Is the assumption that the distribution is normal necessary?

Sample size of 30 or larger(in this case, 50), so the assumption is not necessary.

Answer:

\(y = \frac{2}{3} x + 5 \frac{2}{3} \)

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

it would be 3

Step-by-step explanation:

Answer:

21.25 for one shirt so it 75 in all if you add all the shirts

x = 20

Hi there !

12 .........60%

x............100%

x = 12×100/60

= 1200/60

= 20

Good luck !

In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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Answer:

9(4-n)

Step-by-step explanation:

Hope this helps

Tell me if I'm wrong

The total value of her individual coverage for the year is $9880.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that, deduction = $38

Weekly deductions are considered.

Thus, 1 year = 4 (12) = 52 weeks.

The total individual coverage = (38)(52) = $1976

The annual cost of the coverage is:

(0.02)(C) = 1976

C = $9880

Hence, the total value of her individual coverage for the year is $9880.

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Answer:

Domain: -3 ≤ x ≤ 9

Step-by-step explanation:

The domain of the graph is the set of all possible x-values.

The set of all possible values as represented on the graph above runs from -3 to 9.

This, domain of the graph is -3 ≤ x ≤ 9

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Andrew spend 90 minutes at the gym on Friday.

Equations typically contain variables, which are represented by letters or symbols, and are used to represent unknown quantities that need to be solved for.

For example, the equation 2x + 3 = 7 represents an assertion that the expression 2x + 3 is equal to 7. In this equation, "x" is the variable, and the solution to the equation is the value of "x" that makes the equation true. In this case, the solution is x = 2, since 2(2) + 3 = 7.

Equations can be used to model a wide variety of phenomena and are used in many different fields, including physics, engineering, economics, and finance. There are many different types of equations, such as linear equations, quadratic equations, and differential equations, each with their own methods for solving and applications.

Let's call the amount of time Andrew spends on the treadmill "t" (in hours) and the amount of time he spends on weights "w" (also in hours). We know that he divides his time between these activities in a 3:2 ratio, so:

t:w = 3:2

We also know that on Monday, he was at the gym for a total of 1.5 hours, so:

t + w = 1.5

We can use the ratio from the first equation to solve for t in terms of w:

t = (3/2)w

We can substitute this into the second equation to get:

(3/2)w + w = 1.5

Simplifying this, we get:

(5/2)w = 1.5

Multiplying both sides by 2/5, we get:

w = 0.6

So on Friday, Andrew spends 0.6 hours (or 36 minutes) on weights, since he spends the same amount of time on weights as he did on the treadmill on Monday. Therefore, he spends a total of:

t + w = (3/2)w + w = (5/2)w = (5/2)(0.6) = 1.5 hours

or 90 minutes at the gym on Friday.

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Answer:

7200000

Step-by-step explanation: