Three angles are supplementary, angle one has a measure of 7x+10, angle two has a measure of 3x+4 and angle three has a measure of 3x+8.
Given that the angles are supplementary what is the measure of angle one? Round your answer to the hundredths place

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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The most appropriate measure of center for the given dot plot is the median, which is 3. The interquartile range is 3, indicating 50% of the data lies between 1 and 4.

The given dot plot shows the number of televisions owned by the families in a neighborhood. There are different measures of central tendency and variation that can be used to describe the data set. The most appropriate measure of center for this data set is the median, which is the middle value when the data is arranged in ascending or descending order.
This is because the data is not normally distributed and there are outliers in the data set.
The median value is 3, which is the middle value when the data is arranged in ascending order. The median is a better measure of center for this data set because it is not affected by outliers, unlike the mean, which can be skewed by extreme values.
The appropriate measure of variation for this data set is the interquartile range (IQR). This is because the data set is not normally distributed and there are outliers present. The IQR is the range between the 25th and 75th percentile of the data set. The IQR is 3, which indicates that 50% of the data lies between 1 and 4.
In summary, the median value of televisions owned by families in the neighborhood is 3, which is a better measure of center because it is not affected by outliers. The interquartile range is 3, which indicates that 50% of the data lies between 1 and 4.

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If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.

Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.

First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:

Social Security tax = $102,000 x 0.062 = $6,324

Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:

Social Security tax = $1,100 x 0.062 = $68.20

Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

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Answer:

x = 45

y = 7

Step-by-step explanation:

To obtain the value of x and y, do the following:

√7 – 3√5

Rearrange

– 3√5 + √7

Multiply through by –1

3√5 – √7 ... (1)

Express 3√5 as a single surd

3√5 = √(3 × 3 × 5)

3√5 = √45

Replace 3√5 with √45 in equation 1

3√5 – √7

√45 – √7

Comparing

√45 – √7 and √x – √y i.e

√45 – √7 = √x – √y

x = 45

y = 7

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

\(8-5x^3\), if x = -1

\(=8-5(-1)^3\)

\(=8+5\)

\(=13\)

Given:

probability of ordering non-alcoholic beverage = 0.48

probability of not ordering non-alcoholic beverage = 1 - 0.48 = 0.52

FInd: the probability that in a sample of 12 customers, at least 5 will order a nonalcoholic beverage.

Solution:

Recall the binomial probability formula.

where

p = probability of success: 0.48

q = probability of failure: 0.52

n = the number of samples: 12

r = number of success (at least 5 which means not 1, 2, 3, or 4.

To determine the probability of having at least 5, let's calculate when r = 0, r = 1, r = 2, r = 3, and r = 4.

Let's start with r = 0 and solve.

At r = 1,

Now, let's solve for r = 2.

Moving on to r = 3.

Then, lastly at r = 4.

Let's now add the probability of getting r = 0, r = 1, r = 2, r =3, and r = 4 customers ordering a nonalcoholic beverage.

0.2348 is the probability of at most 4 customers ordering a non-alcoholic beverage.

Since the question is the probability of at least 5 customers ordering a non-alcoholic beverage which is the opposite of the at most 4 customers, then, let's subtract its probability from 1.

Therefore, the probability that in a sample of 12 customers, at least 5 will order a nonalcoholic beverage is approximately 0.7652.

Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

first, you need to get y on one side. So, because the x is negative it becomes positive when you switch it to the other side. 3y= 9x+5. You then need to divide all parts by 3. 3/3= 1 so thats just y. 9/3 is 3 so thats 3x. then 5/3 is a fraction that you can write as just 5/3 or 1 and 2/3. That would leave you with y= 3x + 5/3. Then x (3) is your slope. and what you add to it (5/3) is your y int.

The three statements about the measures of center that are true include the following:

A. The mean for Group A is less than the mean for Group B.

B. The median for Group A is less than the median for Group B.

C. The mode for Group A is less than the mode for Group B.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

Group A

Mean for Group A = [(1 × 5) + (2 × 4) + (3 × 1)]/(5 + 4 + 1)

Mean for Group A = (5 + 8 + 3)/10

Mean for Group A = 16/10

Mean for Group A = 1.6

Mode for Group A = 1

Median for Group A = (1 + 2)/2

Median for Group A = 3/2

Median for Group A = 1.5

Group B

Mean for Group A = [(1 × 3) + (2 × 2) + (3 × 4) + (5 × 1)]/(3 + 2 + 4 + 1)

Mean for Group A = (3 + 4 + 12 + 5)/10

Mean for Group A = 24/10

Mean for Group A = 2.4

Mode for Group B = 3

Median for Group B = (2 + 3)/2

Median for Group B = 5/2

Median for Group B = 2.5

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: A,B,C

Step-by-step explanation:

Answer:

The probability that the proportion of flops in a sample of 701 released films would differ from the population proportion by greater than 7% is 0.00001

Step-by-step explanation:

We are given;

Probability that the films released are flops = 9% = 0.09

Sample size = 701

Formula for standard deviation is;

σ = √(p(1 - p)/n)

σ = √(0.09(1 - 0.09)/701)

σ = √0.0001168331

σ = 0.0108

We want to find the probability that the proportion of flops in a sample of 701 released films would be greater than 7%.

Thus, it means x - μ = 7% = 0.07

Z-score formula here is;

z = (x - μ)/σ

z = 0.07/0.0108

z = 6.4815

From online p-value from z-score calculator attached using; z = 6.4815, Nominal significance level = 0.05, two tailed distribution, we have;

P-value = 0.00001

xy=k, where k is a constant, can be used to illustrate the graph of an inverse variation function. When x=8 and y=24, the equation is 8*24=k. When we solve for k, we get k=192. Consequently, xy=192 serves as the graph's equation.

The linear function known as direct variation is described by an equation of the form y = kx when x is not equal to zero. The equation of the form xy = k defines the nonlinear function referred to as inverse variation when x is not equal to zero and k is a real integer constant that is not zero.

To sketch the graph of an inverse variation function, we can use the formula:

y = k/x

where k is the constant of variation. Since y is 24 when x is 8, we can find k as follows:

24 = k/8

Multiplying both sides by 8, we get:

k = 192

So the inverse variation function is:

y = 192/x

To sketch the graph, we can make a table of values:

x y

1 192

2 96

4 48

8 24

16 12

32 6

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Answer:

Step-by-step explanation:

\(d^2=(x_2-x_1)^2+(y_2-y_1)^2\\ \\ d^2=(-2-1)^2+(5-9)^2\\ \\ d^2=9+16\\ \\ d^2=25\\ \\ d=\sqrt{25}\\ \\ d=5\)

Answer:

PQ = 5

Step-by-step explanation:

Distance Formula

d = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 }\)

d = \(\sqrt{{(1} - -2)^2 + (9 - 5)^2 }\)

d = \(\sqrt{3^2+4^2}\)

d = \(\sqrt{9+16}\)

d =\(\sqrt{25}\)

d=5

PQ = 5

Answer:

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

Step-by-step explanation:

1. common form of slope-interception form is:

y=(slope)*x-interception;

Then

\(2. \ y=-\frac{2}{3} x+interception;\)

3. in order to calculate the 'interception' is it needed to substitute the given coordinates into this non-completed equation:

\(5=-\frac{2}{3} *(-6)+interception; \\interception=1;\)

4. finally, the required equation is:

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

Answer:

20/32

Step-by-step explanation:

multiply numerator and denominator by 4 :

5*4/ 8*4 = 20/32

Answer:

b number is the correct answer of the question

Answer:its a

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

z varies inversely

so z=a/x^2

9=a/(2/3)^2

9=a/(4/9)

9=9a/4

a=4

z=4/x^2

z=4/(5/4)^2

z=4/(25/16)

z=64/25

If z varies inversely as x², it is given by the equation z = 4/x². When x = 5/4, z = 2.56

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

z varies inversely as x². Let k represent the constant of proportionality, hence:

z = k/x²

z = 9 when x = 2/3, hence:

9 = k / (2/3)²

k = 4

z = 4/x²

When x = 5/4:

z = 4 / (5/4)²

z = 2.56

If z varies inversely as x², it is given by the equation z = 4/x². When x = 5/4, z = 2.56

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Answer:

option c

Step-by-step explanation:

Mark brainliest

Answer:

4/5

Step-by-step explanation:

4/5

2+2=4

denominator stays same

let me know if it helped

Answer:

62,65,89,114,124 im not really sure but examples may vaey depend to lessons and factors...

Step-by-step explanation:

Does this help?

Answer:

2

Step-by-step explanation:

1+1=2

Answer:

Step-by-step explanation:

He has 100 tagged carp to begin with.

The next week he captures 85 and 20 of them are tagged.

20/ 85 = 100 / x            Cross multiply

20x = 85*100                Combine the right

20x = 8500                   Divide by 20

x = 425

This is a nice problem. Thank you for posting.

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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Answer:

1/12

Step-by-step explanation:

There are 12 different possibilities when we pair them together. This can be viewed when we draw up a table. See image attached. :P

Answer:

1/12

Step-by-step explanation:

if the first jar has 3 and the second has 4 marbles, then just multiply and you have 12. so its 1/12

The equation of the table is y=2x+8 when the slope and intercept are 2 and 8.

Given that,

In the picture we can see the table.

We have to find the equation of the table.

We know the equation is in the form

y=mx+b

Here,

m is rise/run

Which is slope

b is intercept.

Take the point as (0,8) and (1,10)

Slope is m =(10-8)/(1-0)

m= 2/1

m=2

Then b is

8=2(0)+b

b=8

The equation will be y=2x+8

Therefore, The equation of the table is y=2x+8 when the slope and intercept are 2 and 8.

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Answer:

452.2 cm

Step-by-step explanation:

A = 4πr²

A = 4 (3.14) (6)²

A = 4 (3.14) (36)

A = 452.16

A = 452.2 cm (nearest tenth)

Answer:

rational

Step-by-step explanation: