Please help me with this math problem!!! Will give brainliest!!

The equation of the line is: y = x + 10.

We are given that;

The points= ( − 2 , 2 ) (−2,2) and ( − 8 , 8 ) (−8,8).

Now,

Let’s apply these steps to find the equation of the perpendicular bisector.

To find the midpoint of (-2, 2) and (-8, 8). Using the midpoint formula, we get: ( (-2 + -8) / 2, (2 + 8) / 2) ( -10 / 2, 10 / 2) ( -5, 5) The midpoint is (-5, 5).

To find the slope of (-2, 2) and (-8, 8). Using the slope formula, we get: (8 - 2) / (-8 - -2) 6 / -6 -1 The slope is -1.

To find the negative reciprocal of -1. To do this, we flip the fraction and change the sign. Since -1 is equivalent to -1/1, we get: -1/1 1/-1 1 The negative reciprocal is 1.

The equation of a line in slope-intercept form using the slope of 1 and the midpoint (-5, 5) as a point on the line. Substituting these values into y = mx + b, we get: y = 1x + b 5 = 1(-5) + b 5 = -5 + b 10 = b The y-intercept is 10.

This is the equation of the perpendicular bisector of the line segment whose endpoints are (-2, 2) and (-8, 8).

Therefore, by the equation the answer will be y = x + 10

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The Volume of the solid = 601.83 m³

The Surface area of the solid = 266.9 m²

The solid is composed of a cylinder and a cone, therefore, we would need the following formulas:

Volume of cone = 1/3 * πr²h

Volume of Cylinder = πr²h

Surface area of cone = πrl

Surface area of cylinder = 2πr(h + r)

Volume of the solid = 1/3 * πr²h + πr²h

radius (r) = 5 m

height of cone (h) = 5 m

Height of cylinder (h) = 6 m

π = 3.14

Plug in the values:

Volume of the solid = 1/3 * 3.14 * 5² * 5 + 3.14 * 5² * 6

Volume of the solid = 130.83 + 471 = 601.83 m³

Surface area of the solid = πrl + 2πr(h + r) - 2(πr²)

r = 5 m

l = 5m

π = 3.14

h = 6 m

Plug in the values:

Surface area of the solid = 3.14 * 5 * 5 + 2 * 3.14 * 5(6 + 5) - 2(3.14 * 5²)

= 78.5 + 345.4 - 157

= 266.9 m²

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Answer:

5 weeks

Step-by-step explanation:

A

y=10 x 2.5 +25                

y= 25+25

y=50

y=10 x 5 +25

y=50+25

y=75

y=10 x 15 +25

y=150+25

y=175

y=10 x 75 +25

y=750+25

y=775

B

y= 5 x 2.5 + 50

y=12.5 + 50

y=62.5

y = 5 x 5 + 50

y=25+50

y=75

y = 5 x 15 + 50

y=75+50

y=125

y = 5 x 75 + 50

y= 375 +50

y=425

So its 5 weeks since both get 25

You can also do a equation method

     5x + 50=10x + 25

-5x(                              )-5x

         50=5x+25

-25(                   )-25

            25=5x

÷5(                              )÷5

5=x

so 5 weeks again

The equation for translation of the graph given is y = |x/2-2| + 4

Given is a function y = |x/2-2| + 3, it is translated one unit up, we need to find the translated function.

We know that, f(x) + k moves f(x) by k units up.

So, y = |x/2-2| + 3 → y = |x/2-2| + 3 + 1

y = |x/2-2| + 4

Hence, the equation for translation of the graph given is y = |x/2-2| + 4

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Answer:

6 pints or 3 quarts

Step-by-step explanation:

We can represent the actions onto the ice cream with mathematical operations. First, we can represent giving 1 quart away as subtraction:

14 pints - 1 quart

= 14 pints - 2 pints

= 12 pints

So after giving 1 quart to his neighbor, Jahlil has 13 pints left. Of these 13 pints, he uses half to make milkshakes. We can represent a half by dividing by 2:

12 pints / 2

= 6 pints

= 3 quarts

So, Jahlil used 6 pints or 3 quarts of ice cream to make the milkshakes.

The largest angle is B and the smallest angle is C

When we use the cosine rule, we can see that;

c^2 = a^2 + b^2 - 2ab Cos C

4.5^2 = 6.5^2 + 8.5^2 - 2(6.5 * 8.5) CosC

20.25 = 114.5 - 110.5CosC

20.25 - 114.5 = - 110.5CosC

CosC = 0.8529

C =Cos-1  0.8529

C = 31 degrees

Then;

b^2 = a^2 + c^2 - 2acCosB

8.5^2 = 6.5^2 + 4.5^2 -2(6.5 * 4.5)CosB

72.25 = 62.5 - 58.5CosB

72.5 - 62.5 =  - 58.5CosB

Cos B = -0.1709

B = 100 degrees

Then;

A = 180 - (100 + 31)

A = 49 degrees

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As per the given information, the total length of a rectangle is 216mm²

Length of the rectangle = 8 mm = 5.2 cm

Width of the rectangle = 27 mm =   2.0 cm

A quadrilateral, also known as a four-sided polygon, is characterised by four right angles, each of which is 90 degrees, and opposing sides that are parallel and of equal length. It is a four-sided geometric object having right angles at each of its four corners and opposing sides that are parallel and of equal length.

Using the formula for area of rectangle -

Area of rectangle = Length x width

Substituting the values -

Area = 27 x 8

= 216

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To achieve a 95% confidence interval with a margin of error of 3%, you'd need to poll approximately 1,112 people.

To estimate the number of people you'd need to poll for a 95% confidence interval with a margin of error of 3% (0.03), we'll use the following formula:

Sample size (n) = (Z^2 * SD^2) / E^2

Where:
- Z = 2 (for a 95% confidence interval)
- SD = 0.5 (the standard deviation of the population)
- E = 0.03 (the margin of error)

Step 1: Square the Z-score (Z^2):
2^2 = 4

Step 2: Square the standard deviation (SD^2):
0.5^2 = 0.25

Step 3: Square the margin of error (E^2):
0.03^2 = 0.0009

Step 4: Multiply Z^2 by SD^2:
4 * 0.25 = 1

Step 5: Divide the result from Step 4 by E^2:
1 / 0.0009 = 1,111.11

Since we can't have a fraction of a person, we'll round up to the nearest whole number.

So, to achieve a 95% confidence interval with a margin of error of 3%, you'd need to poll approximately 1,112 people.

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NORMDIST uses numerical integration to compute the cumulative probability associated with a given point in the normal distribution because an analytical solution for the CDF is not available.

NORMDIST is a function that calculates the probability density function (PDF) or cumulative distribution function (CDF) of the normal distribution (also known as the Gaussian distribution). It uses numerical integration because the normal distribution's CDF cannot be expressed as a simple closed-form equation.

The reason for using numerical integration in NORMDIST is to compute the area under the curve of the normal distribution's PDF up to a specific point. This area represents the cumulative probability of a value being less than or equal to the given point. Numerical integration is an efficient way to approximate the integral of the function when an analytical solution is not possible or feasible.

In summary, NORMDIST uses numerical integration to compute the cumulative probability associated with a given point in the normal distribution because an analytical solution for the CDF is not available.

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Answer:

measurement of each interior angle of a regular hexagon is 120°

sum of the numbered angles is 720°

Step-by-step explanation:

m<1 = 120°

m<2 = 120°

m<3 = 120°

the sum of the all the numbered six interior angles of a regular hexagon = 720°

The value of a in the figure is 25⁰

Recall that an isosceles triangle is a triangle that has at least two sides of equal length and two angles that are equal

Given that >MPO = < MNP = 25  isosceles triangle

Also, <POM = 180 - (25+25) = 180-50 = 130

Let the centre be x

<OXN =90

But 130 +25 = 155

Therefore the value of a is 180-155 = 25⁰

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A. For z = 0.50 = 66; B. For z = -0.25 = 57 and the probability of randomly selecting a score less than z = -0.25, you can use a standard normal (z-score) table or calculator. For z = -0.25, the probability is approximately 0.4013, meaning there's a 40.13% chance of randomly selecting a score less than z = -0.25.

To find the X value for each z-score, we use the formula:

X = u + (z * a)

where u is the mean, a is the standard deviation, and z is the z-score.

A. For z = 0.50:

X = 60 + (0.50 * 12)
X = 66

Therefore, the X value for z = 0.50 is 66.

B. For z = -0.25:

X = 60 + (-0.25 * 12)
X = 57

Therefore, the X value for z = -0.25 is 57.

To find the probability of randomly selecting a score that is less than z = -0.25, we use a z-table or a calculator that can calculate normal distribution probabilities. The probability of a score being less than z = -0.25 is the same as the area under the curve to the left of z = -0.25.

Using a z-table, we find that the probability of a score being less than z = -0.25 is 0.4013.

Therefore, the probability of randomly selecting a score that is less than z = -0.25 is 0.4013 or approximately 40.13%.

A. For z = 0.50:
To find the X value, use the formula X = μ + (z * σ), where μ is the mean and σ is the standard deviation.
X = 60 + (0.50 * 12) = 60 + 6 = 66

B. For z = -0.25:
X = 60 + (-0.25 * 12) = 60 - 3 = 57

To find the probability of randomly selecting a score less than z = -0.25, you can use a standard normal (z-score) table or calculator. For z = -0.25, the probability is approximately 0.4013, meaning there's a 40.13% chance of randomly selecting a score less than z = -0.25.

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The ordered pair that is a solution to the system is (A) (−1, −1)

From the question, we have the the system of linear equations to be

x + 3y = −4

y = −3x − 4

By substitution, we have

x + 3(−3x − 4) = −4

Open the brackets

This gives

x - 9x - 12 = -4

Evaluate the like terms

-8x = 8

So, we have

x = -1

Recall that

y = −3x − 4

So, we have

y = −3(-1) − 4

Evaluate

y = -1

Hence, the solution is (A) (−1, −1)

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The probability that the average number of cherries in 36 cherry puffs will be less than 5.5 is approximately 0.997.

(a) The population mean of X is:

E(X) = 4(.2) + 5(.4) + 6(.3) + 7(.1) = 4.9

The population variance of X is:

Var(X) = E(X^2) - [E(X)]^2

= 4^2(.2) + 5^2(.4) + 6^2(.3) + 7^2(.1) - (4.9)^2

= 1.49

(b) Since the distribution is discrete and the sample size is large (n = 36), we can use the Central Limit Theorem to approximate the distribution of the sample mean as normal. Therefore, the mean of the sample mean is equal to the population mean, which is 4.9, and the variance of the sample mean is given by:

Var(X) = Var(X)/n

= 1.49/36

≈ 0.0414

(c) To find the probability that the average number of cherries in 36 cherry puffs will be less than 5.5, we standardize the variable as follows:

Z = (X - μ) / (σ / √n)

where μ = 4.9, σ = √Var(X) = √0.0414 ≈ 0.2035, and X = 5.5

Z = (5.5 - 4.9) / (0.2035 / √36) = 2.95

Using a standard normal distribution table or calculator, the probability that Z is less than 2.95 is approximately 0.997. Therefore, the probability that the average number of cherries in 36 cherry puffs will be less than 5.5 is approximately 0.997.

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The requried linear function, slope, and time are y = 502x + 18272, m=502 and 21 months respectively.

We have the following data:

x y

18 27308

27 31826

Using the formula for slope, we have:

m = (31826 - 27308) / (27 - 18)

m = 502

Therefore, the slope of the linear function is 502. This means that for every month that Jeffrey owns the SUV, the odometer reading increases by an average of 502 miles.

To find the y-intercept (b) and complete the linear function, we can use one of the data points and the slope. Let's use the first data point (18, 27308):

27308 = 502(18) + b

b = 18272

Therefore, the linear function that represents the relationship between the odometer reading and time is:

y = 502x + 18272

To find how long it took for the odometer to read 28,814 miles, we can plug in 28,814 for y and solve for x:

28,814 = 502x + 18272

x = 21

Therefore, it took 21 months for the odometer to read 28,814 miles.

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There are either approximately 1.8 million or 102 million ways to select a committee of 10 senate members with the same number of Ds and Rs, depending on the method used.

We will use the concept of combinations to find the number of ways to select a committee of 10 Senate members with the same number of Democrats (Ds) and Republicans (Rs).

1. Determine the number of Democrats and Republicans to select: Since the committee must have the same number of Ds and Rs, we need to select 5 Democrats and 5 Republicans.

2. Calculate the combinations: Use the combination formula, which is C(n, k) = n! / (k! * (n-k)!), where n is the total number of items, and k is the number of items to select.

3. Apply the formula for Democrats: Assuming there are D Democrats, the number of ways to select 5 Democrats would be C(D, 5) = D! / (5! * (D-5)!).

4. Apply the formula for Republicans: Assuming there are R Republicans, the number of ways to select 5 Republicans would be C(R, 5) = R! / (5! * (R-5)!).

5. Calculate the total ways: Multiply the number of ways for both Democrats and Republicans to get the total ways of forming the committee: Total ways = C(D, 5) * C(R, 5).
To select a committee of 10 with an equal number of Ds and Rs, we need to choose 5 Ds and 5 Rs. We can do this in the following ways:
- Choose 5 Ds from the 25 available, and then choose 5 Rs from the remaining 20. This can be done in (25 choose 5) * (20 choose 5) ways, which is approximately 1.8 million ways.
- Alternatively, we can choose 10 senators from the 50 available, and then assign 5 to be Ds and 5 to be Rs. The number of ways to do this is (50 choose 10) * (10 choose 5), which is approximately 102 million ways.

So, the number of ways to select a committee of 10 Senate members with the same number of Democrats and Republicans is given by the product of the combinations C(D, 5) and C(R, 5).

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The complete oxidation of linoleic acid (C18H32O2) produces 16 reducing equivalents.

To determine the number of reducing equivalents produced by the complete oxidation of linoleic acid (C18H32O2), we need to follow these steps:

1. Determine the number of hydrogen atoms in linoleic acid: Linoleic acid has the molecular formula C18H32O2, which contains 32 hydrogen atoms.    
     
2. Divide the number of hydrogen atoms by 2: Since 1 mole of electrons is donated by 1 reducing equivalent, and each pair of hydrogen atoms (H2) contributes 2 moles of electrons, we need to divide the number of hydrogen atoms by 2 to find the number of reducing equivalents.

32 hydrogen atoms ÷ 2 = 16 reducing equivalents

So, the complete oxidation of linoleic acid (C18H32O2) produces 16 reducing equivalents.

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The measures of the angles and the proofs are shown below

Circle 4

The angle at the centre is twice the angle at the circumference

So, we have

360 - ∠BOD = 2 * 110

Evaluate

∠BOD = 140

Circle 5

Angle in a semicircle is 90 degrees

So, we have

∠ABD + 19 = 90

∠ABD = 71

Angles in the same segment are equal

So, we have

∠ACB = 19

Circle 6

Using the same theorem above, we have

5y + y = 90

y = 15

So, we have

∠BAC = 5 * 15

∠BAC = 75

Circle 7

By the corresponding angle theorem, we have

∠ABO = ∠CDO

By the sum of opposite internal angles in a triangle, we have

∠BOC = ∠BAO + ∠ABO

Substitute ∠ABO = ∠CDO

∠BOC = ∠BAO + ∠CDO --- proved

The angles at the edges are equal because they are corresponding angles of congruent isosceles triangles

Cyclic Quadrilateral

The opposite angles of cyclic quadrilaterals add up to 180 degrees

So, we have

180 - ∠x + 180 - ∠y = 180

Evaluate

∠x + ∠y = 180 --- proved

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The experimental probability that the next person at the booth will win a prize is 40%.

In this particular case, out of a total of 35 trials (people), there were 14 individuals who snagged a prize and the other 21 who did not. Consequently, we are able to calculate the experimental probability of the next person at the booth succeeding in winning a prize as such:

Number of Winners / Total Number of Participants

= 14 / 35

= 0.4 or 40%

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Option B. Theresa's work is correct its shows that Matrix multiplication is not commutative.

Clearly, it is true that AB and BA are distinct matrices, so matrix multiplication is not generally commutable.

Nevertheless, there are special conditions where the product of matrices could be commutable, such as when one of them is an id matrix or diagonal matrix with equivalent diagonal entries.

Hence we can say that Theresa's work is correct its shows that Matrix multiplication is not commutative. since the results are different

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Answer:

The mode is 2.

Step-by-step explanation:

Two people voted for 0 pets and two people voted for four pets.

The number, 2 showed more than the rest of the numbers, if the number of people were to be on the bottom the graph would be impossible because of the two graphs with the number 1.

The 90% confidence interval for the true difference between testing averages for students using method 1 and students using method 2 is (approximately) 1.6 ± 2.3. This means that we can be 90% confident that the true difference in testing averages lies between -0.7 and 3.9.

To construct the 90% confidence interval for the true difference between testing averages for students using method 1 and students using method 2, we can use the following formula:

CI = (x1 - x2) ± t(alpha/2, df) * sqrt(s1^2/n1 + s2^2/n2)

where:
x1 = 54.8 (sample mean for method 1)
x2 = 53.2 (sample mean for method 2)
s1 = 5.1 (standard deviation for method 1)
s2 = 12.47 (standard deviation for method 2)
n1 = 149 (sample size for method 1)
n2 = 180 (sample size for method 2)
alpha = 0.1 (1 - 0.9 for a 90% confidence interval)
df = n1 + n2 - 2 (degrees of freedom)

Plugging in the values, we get:

CI = (54.8 - 53.2) ± t(0.05, 327) * sqrt((5.1^2/149) + (12.47^2/180))
  = 1.6 ± 1.65 * 1.423
  = 1.6 ± 2.344

Therefore, the 90% confidence interval for the true difference between testing averages for students using method 1 and students using method 2 is (approximately) 1.6 ± 2.3. This means that we can be 90% confident that the true difference in testing averages lies between -0.7 and 3.9.

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A biased coin is one where the probability of getting heads or tails is not equal. In this case, the coin is biased such that heads are three times more likely than tails. To determine the expected total number of heads when the coin is flipped five times, we can use the concept of probability and expected value.

First, let's find the probability of getting heads (P(H)) and tails (P(T)). Since heads are three times more likely than tails, we can represent this as a ratio: 3:1. The total number of outcomes is 3 + 1 = 4. Thus, the probability of getting heads is P(H) = 3/4, and the probability of getting tails is P(T) = 1/4.

Now, let's find the expected value. The expected value (EV) is the sum of the probabilities of each outcome multiplied by the value of that outcome. In this case, the value is the number of heads obtained. Since we are flipping the coin five times, the possible number of heads is between 0 and 5. For simplicity, we will only calculate the expected number of heads after one flip, and then multiply it by the total number of flips (5).

Expected number of heads after one flip (EV) = P(H) * 1 + P(T) * 0 = (3/4) * 1 + (1/4) * 0 = 3/4

Now, multiply the expected number of heads after one flip by the total number of flips (5) to find the expected total number of heads:

Expected total number of heads = EV * 5 = (3/4) * 5 = 15/4 = 3.75

So, the expected total number of heads when flipping the biased coin five times is 3.75.

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The possible prices of the charm is $4 and $8, based on stated depiction of their prices.

Firstly, the multiple of 4 that lead to 12 are 3. The multiples 1, 2 and 3 wil result in 4, 8 and 12. Since the total cost is 12, so it is not possible that 3 times of 4 can be among answers.

Now, possible cost of each sea shell charm can be multiple of 1 and 2. Hence, the possible price of each sea shell charm wil be $4 and $8.

Validating the answer as follows -

Total cost = sum of cost of each sea shell charm

12 = 4 + 8

12 = 12

Since LHS is same as RHS, the estimated possible cost is true.

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The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.

To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.

Step 1:

Convert the percentage to a decimal.
65.3 / 100 = 0.653

Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

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Answer:

Step-by-step explanation:

menu 7,1 Open table labe A , B as x y

type the numbers provided and then 4 1 and whatever problem click it\

and you will see a table again type x y and there you will get youre asnwers

The p-value is 0.05 or less if the chi-square statistic is 3.84 or more.

The p-value is 0.05 or less if the chi-square statistic is 3.84 or more. This indicates that there is a statistically significant difference between the observed and expected frequencies, and we reject the null hypothesis at a 5% significance level.

A statistical technique called the chi-squared test is used to assess whether there is a significant discrepancy between observed and predicted data. The test is frequently employed in disciplines like biology, sociology, and psychology to analyse categorical data.

The chi-squared test's fundamental premise is to contrast observed frequencies of a collection of categorical data with expected frequencies that would be anticipated if the data were distributed in a particular way. The test determines whether there is a statistically significant difference between the observed and anticipated frequencies.

The goodness-of-fit test and the test of independence are the two primary categories of chi-squared tests.

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The pair which is at the same level of structural organization is: D. S and X which are brain and leaf respectively.

The brain and the leaf are in the organ level of organization. The brain is an organ in human body which carries out most activities in the body. It controls all functions of the body and also interprets information from the outside world. The brain is the seat of intelligence, emotion, creativity and memory.

The leaf in plants is a collection of tissues. It enables photosynthesis to occur. The leaf traps sunlight and carbon dioxide which are used during photosynthesis to manufacture food for plants.

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