Write a 2-column proof
Given: BD is an angle bisectir
Prove: m
m m

In this scenario, the information obtained from all 200 residents who visited the store represents a subset of the total population. Therefore, it is an example of a sample.

In statistics, a population refers to the entire group of individuals or objects that we want to study and make inferences about. In this scenario, the population would consist of all the residents of the small town in California, which includes the 800 residents.

However, Mr. Phillip was only able to obtain information from a subset of the population, specifically the 200 residents who visited the store. This subset, known as the sample, is a smaller representative group selected from the population to gather information and make inferences about the larger population.

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Answer:

Pretty sure it's B

Step-by-step explanation:

Answer:

B) 75,000 + 4,800n+ 80,000 + 3,900n

Step-by-step explanation:

I did the quiz ^^

8:6, 16:12, 24:18 and more

Step-by-step explanation:

you just need to multiply 4x2 to get 8 and 3x2 to get 6 and then 8x2 to get 16 and 6x2 to get 12. You have to multiply the result by 2

hopes this helps :)

The volume of the cylinder is 7.64 units.

If the rectangle and the cylinder has the same height, and it perfectly covers the curved surface of the cylinder without overlap, then the circumference of the base of the cylinder is equal to the length of the rectangle.

length of rectangle = circumference of the base of the cylinder = 4

Solve for the radius of the base of the cylinder using the formula for the circumference of a circle.

C = 2πr

4 = 2πr

r = 0.6366197724

Solve for the volume of the cylinder given that the height is 6 and the radius of the base is 0.6366197724.

V = πr²h

V = π(0.6366197724)²(6)

V = 7.639437268

V = 7.64

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1) "For every dollar you spend, you can get pounds of grapes."

If one pound costs $2,  each dollar we will get half a pound.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

We already know that the statement shows the relationship between the pounds of grapes (g) and the cost (c); Such that the cost is on the horizontal axis, the weight on the vertical axis.

We have the points:

(0, 0) - For 0 dollars you buy 0 pounds.

(2, 1) - for 2 dollars you buy one pound.

(4, 2) - for 4 dollars you buy 2 pounds.

(6, 3) - for 6 dollars you buy 3 pounds.

Then we can see that each pound of the grapes costs $2

Then the statements are:

1) "For every dollar you spend, you can get pounds of grapes."

If one pound costs $2,  each dollar we will get half a pound.

2) "For each pound of grapes, you would need"

For each pound of grapes we will need 2 dollars.

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The complete question is

The graph shows the relationship between pounds of grapes, g, and their cost, c.

Use the graph to complete the statements.

For every dollar you spend, you can get pounds of grapes. For each pound of grapes, you would need $

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

f(x) = 2x + 4 domains {-1, 0, 1}

range {2, 4, 6}

(please mark brain if this helps and is correct)

Step-by-step explanation:

to solve f(x) to find the range you would want to input all the domain numbers in the equation f(x) to get the range of all the numbers you need

step 1: take the first domain number and input it into your equation where x is

ex: 2x + 4   [2(-1) + 4] = -2 + 4 = 2

step 2: add the second domain number and input it into your equation where x is

ex: 2x + 4   [2(0) + 4] = 0 + 4 = 4

step 3: add the last domain number and input it into your equation where x is

ex: 2x + 4   [2(1) + 4] = 2 + 4 = 6

Now we have determined what the range is

To calculate Evan's AGI (Adjusted Gross Income) and taxable income if he files as a single taxpayer, we need to consider his income and deductible expenses.

Calculate Evan's total income:
  - Salary: $73,650
  - Part-time hourly pay: $700

  Total income = Salary + Part-time pay = $73,650 + $700 = $74,350

Deductible expenses:
  - Moving expenses: $1,200
  - Student loan interest: $2,890
  - Uniform cost: $1,490
  - Cash contribution: $1,345

  Total deductible expenses = $1,200 + $2,890 + $1,490 + $1,345 = $6,925

Calculate AGI:
  AGI = Total income - Total deductible expenses
  AGI = $74,350 - $6,925 = $67,425

Evan's taxable income is equal to his AGI since there were no other deductions mentioned in the question.

Therefore, Evan's AGI is $67,425, and his taxable income is also $67,425.

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Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

We have,

Income:

Salary: $73,650

Part-time work pay: $700

Total income: $73,650 + $700 = $74,350

Deductible Expenses:

Cost of moving possessions: $1,200

(This deduction applies if the move meets certain distance and time requirements. Since the move was 125 miles away, it meets the distance requirement.)

Interest paid on student loans: $2,890

Cost of purchasing a delivery uniform: $1,490

Cash contribution to State University deliveryman program: $1,345

Total deductible expenses:

$1,200 + $2,890 + $1,490 + $1,345

= $6,925

Now we can calculate Evan's AGI and taxable income:

AGI (Adjusted Gross Income)

= Total income - Deductible expenses

AGI = $74,350 - $6,925 = $67,425

Taxable Income = AGI - Standard Deduction

For a single filer in 2022, the standard deduction is $12,550.

Taxable Income = $67,425 - $12,550 = $54,875

Therefore,

Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

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Answer:

y= 7

Step-by-step explanation:

Plug in values into y=mx+b

m= slope

b= y intercept

Since slope is 0, y will always be at 7.

y= 0(x) +7

y= 7

Answer:

24, correct me if I'm wrong

Answer:

5

Step-by-step explanation:

( 2 + 4 + 6 + 8) / 4  = 5

Step-by-step explanation:

2+4+6+8=20

numbers of digits=4

average=sum of observation/numbers of observation

average=20/4=5

MARK ME AS A BRAINLIST, sister

Both x and -y are negative, the negation of their product is positive, and the expression simplifies to xy.

In the expression -xy, the negative sign before xy indicates that the entire product of x and y should be negated. Let's break it down to understand the meaning and simplify it.

Since x > 0 and y < 0, x remains unchanged, but y is negated. This means that y becomes -y. Therefore, we have:

-xy = -x(-y)

In this case, both x and -y are negative. The negative sign in front of xy affects both variables, and the result is the negation of their product.

To simplify further, we can apply the rules of multiplying negative numbers. When we multiply two negative numbers, the result is positive. Therefore, -x multiplied by -y yields a positive value. Simplifying the expression, we get:

-xy = -x(-y) = xy

So, the simplified form of -xy is just xy. The negative sign in front of xy indicates that the product is negated, but since both x and -y are negative, the negation of the product results in a positive value.

In conclusion, the negative sign before xy indicates that the entire product of x and y should be negated. However, since both x and -y are negative, the negation of their product is positive, and the expression simplifies to xy.

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Answer:

2 = 120 and 1 = 60

Step-by-step explanation:

35 + 25 = 60

180 - 60 = 120

180 - 120 = 60

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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The factors of 4x - 7 are (x - 7/4) and the factor of x + 4 is (x + 4).

To find the factors of the given expressions, 4x - 7 and x + 4, we can use the factor theorem and perform polynomial division.

Factor of 4x - 7:

We need to find a factor of 4x - 7, which means finding a value of x that makes the expression equal to zero.

Setting 4x - 7 equal to zero and solving for x:

4x - 7 = 0

4x = 7

x = 7/4

Therefore, the factor of 4x - 7 is (x - 7/4).

Factor of x + 4:

For the expression x + 4, the factor is simply (x + 4) itself.

In summary, the factors of 4x - 7 are (x - 7/4) and the factor of x + 4 is (x + 4).

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Answer:

+2

Step-by-step explanation:

+ and - cancel. We have 5 + and 3 - so that leaves us with 2 + so the answer is +2.

Answer:

+++++ + --- = ++

Step-by-step explanation:

so 5+-3=+2

The dot product of vectors a and b is 28√3. The dot product of vectors a and b can be found by multiplying their magnitudes and the cosine of the angle between them.

In this case, given that ||a|| = 8, ||b|| = 7, and the angle between a and b is -π/6 radians, we can calculate a⋅b.

The dot product of two vectors a and b, denoted as a⋅b, is given by the formula a⋅b = ||a|| ||b|| cos(θ), where ||a|| and ||b|| represent the magnitudes of vectors a and b, and θ represents the angle between them. In this case, ||a|| = 8 and ||b|| = 7, so we have a⋅b = 8 * 7 * cos(-π/6).

To find the value of cos(-π/6), we can refer to the unit circle.

The angle -π/6 corresponds to a point on the unit circle with coordinates (√3/2, -1/2). Therefore, cos(-π/6) = √3/2.

Substituting this value into the formula, we get a⋅b = 8 * 7 * (√3/2). Simplifying further, a⋅b = 28√3.

Hence, the dot product of vectors a and b is 28√3.

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Answer:

bob

Step-by-step explanation:

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Answer:

Yes you are correct :)

Step-by-step explanation:

Used a graphing calculator

Using Venn probabilities, it is found that 240 students are enrolled in both classes.

The events are:

The supposed percentages, which also represents the probabilities involving a single student, are:

The percentage involved in both is:

\(P(A \cap B) = P(A) + P(B) - P(A \cup B)\)

Hence:

\(P(A \cap B) = 0.5 + 0.4 - 0.7 = 0.2\)

Then, out of 1200 students:

\(0.2(1200) = 240\)

240 students are enrolled in both classes.

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The area of triangle (A) is 210 cm².

What is the area of the triangle and perimeter of the triangle?

If a, b, and c are the sides of the triangle, then

Perimeter of the triangle = (a + b + c) units.

Area of the triangle = \(\sqrt{(s(s - a) (s - b) (s - c)) }\)

The semi-perimeter of the triangle, s = (a + b + c)/2

Let the triangle is ABC,

and AB = 3x - 1, BC = 4x + 1 and AC = 3x.

       Perimeter = 70

       AB + BC + AC = 70

      3x-1 + 4x + 1 +3x = 70

       10x = 70

          x = 7

AB = a = 3x - 1 = 20

BC = b = 4x + 1 = 29

AC = c = 3x = 21

Now semi-perimeter = s = 70/2

                                     s = 35

      Area of the triangle = \(\sqrt{(s(s - a) (s - b) (s - c)) }\) 

                                    \(=\sqrt{35(35-20)(35-29)(35-21)}\\\\\\=\sqrt{35(15)(6)(14)}\\\\=\sqrt{44100}\\\\=210\)

        Area of the triangle = 210 square cm.

Hence, the area of triangle (A) is 210 cm².

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Answer: $0.44

Step-by-step explanation:

Since Marco has $1.31 in his coin bank and he spends 87c to buy a pen, the amount taht will be left with him after he buys the pen will be gotten by subtracting 87cents from $1.31.

Note that 100 cents = $1

Therefore, $1.31 will be = 100 × 1.31 = 131 cents.

Therefore, 131 cents - 87 cents = 44 cents or $0.44

He has $0.44 left

Answer:

1280

Step-by-step explanation:

We have,

Selling price (S.P) = Rs 960

Loss% = 25%

Now,

Find the cost price (C.P) :-

C.P = (S.P × 100)/(100 - loss)

= (960 × 100)/(100 - 25)

= 96000/75

= 1280

Hence,

Cost Price of the radio is Rs 1280

To decrease the width of a confidence interval while maintaining the same level of confidence, you can increase your sample size i.e., Option C is the correct answer.

A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence. The width of the confidence interval is influenced by several factors, including the sample size, level of confidence, and population standard deviation.

When the sample size is increased, the standard error of the sample mean decreases, which in turn decreases the width of the confidence interval. This means that a larger sample size provides more precise estimates of the population parameter and reduces the variability of the sample means. As a result, a larger sample size allows for a narrower confidence interval while maintaining the same level of confidence.

On the other hand, decreasing the sample size can widen the confidence interval, as there are less data available to estimate the population parameter. Increasing the significance level or decreasing the population standard deviation may also widen the confidence interval, as this increases the range of plausible values for the population parameter.

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the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

To find the probability that the claim will be rejected assuming the manufacturer's claim is true, we need to calculate the probability of having 70 or fewer patients cured out of 100.

First, we need to determine the mean (μ) and standard deviation (σ) of the binomial distribution.

For a binomial distribution, the mean (μ) is given by μ = n * p, where n is the number of trials (100 patients) and p is the probability of success (0.73).

μ = 100 * 0.73 = 73

The standard deviation (σ) of a binomial distribution is given by σ = sqrt(n * p * (1 - p)).

σ = sqrt(100 * 0.73 * (1 - 0.73)) = sqrt(100 * 0.73 * 0.27) = sqrt(19.71) ≈ 4.44

Next, we will use the normal distribution to approximate the binomial distribution. Since the sample size is large (n = 100) and both np (100 * 0.73 = 73) and n(1 - p) (100 * 0.27 = 27) are greater than 5, the normal approximation is valid.

We want to find the probability of having 70 or fewer patients cured, which is equivalent to finding the cumulative probability up to 70 using the normal distribution.

Using the z-score formula:

z = (x - μ) / σ

For x = 70:

z = (70 - 73) / 4.44 ≈ -0.6767

Now, we can use a standard normal distribution table or a calculator to find the cumulative probability up to z = -0.6767.

The cumulative probability P(X ≤ 70) is approximately 0.2489.

Therefore, the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

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The number of Nickels is 18 and the Number of Quarter is 23    

To find an unknown value in the given problem we use Linear Equation. In this to represent the unknown number use variables and we will form a Linear equation according to the given question. Here we need to solve the equation for the required value.  

Here we have

There are some nickels and quarters in a pocket

Since we don't know the number of nickels and quarters

Let x be the number of nickels and y be the number of quarters  

As we know 1 Nickel = 5 cents and 1 Quarter = 25 cents

=> The total amount in pocket = 5x + 25y -----(1)

Given that

The number of quarters is 13 less than twice the number of nickels,

=> y = 2x - 13 -----(2)

Substitute (2) in (1)

=> 5x + 25(2x - 13)

=> 5x + 50x - 325

=> 55x - 325

Given that the total amount in pocket = $ 6.65 = 665 cents

=> 55x - 325 = 665 cents

=> 55x = 990

=> x = 18  

From (2)

=> y = 2(18) - 13  

=> y = 36 - 13

=> y = 23  

Therefore,

The number of Nickels is 18 and the Number of Quarter is 23      

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