HELP PLEASEEE

The right rectangular prism in Figure 6 has been sliced with a plane
perpendicular to BCEH. The resulting slice is a rectangular region
with a height equal to the height of the prism.
a.Label the vertices of the rectangle defined by the slice as WXYZ
b. To which other face is the slice perpendicular?
c. What is the height of rectangle WXYZ
d. Joey looks at WXYZ and thinks that the slice may be a parallelogram that is not a rectangle. Based on what is known about how the slice is made, can he be right? Justify your reasoning.
(picture is below)

The number of fish that were between 30 cm and 40 cm long is equal to 0.8.

In Mathematics, a histogram can be defined as a type of chart that is used to graphically represent a group of data points (statistical information) into user-specified ranges through the use of rectangles or rectangular bars.

Based on the information provided in the histogram (see attachment), the number of fish that were between 30 centimeters and 40 centimeters long can be calculated based on the frequency density as follows;

Number of fish = 1/5 × 4

Number of fish = 0.2 × 4

Number of fish = 0.8

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Answer: They make the same amount of money

Step-by-step explanation:

Divide 36 by 4

Divide 63 by 7

You get 9 each time.

Answer:

They make the same amount of money

Divide 36 by 4

Divide 63 by 7

You get 9 each time.

Step-by-step explanation:

pls, tell me if wrong have a good day/night<3

Multicollinearity occurs when independent variables in a regression model are correlated.

Multicollinearity is a statistical concept that describes the correlation of several independent variables in a model. If the correlation coefficient between two variables is +/- 1.0, they are considered perfectly collinear. When independent variables are multicollinear, statistical inferences are less reliable.
Multicollinearity is a problem because it undermines an independent variable's statistical significance. Other things being equal, the larger a regression coefficient's standard error, the less likely it is that this coefficient will be statistically significant.
When two or more predictors in a regression model are moderately or highly correlated with one another, multicollinearity exists. Unfortunately, it can wreak havoc on our analysis, limiting the research conclusions we can draw.

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The material needed to fix the Rectangular side of tent was 150 sq. ft.

What are Solids?

Solids are 3-D shapes which are extension of 2-D figures. Solids are nothing just some 2-D figures which have some height of their own.

There are various solids like- cube, cuboid, cylinder, prism, sphere, cone , etc.

3-D solids have height so they don't have perimeter but they have total surface area and volume.

We can obtain a solid by the rotation of an appropriate 2-D figures.

Now for the given question:

The ripped side of the tent is a rectangular figure with length 15 ft and breadth 10 ft.

Material required to repair the ripped part of tent = Area of the rectangle of the ripped side of the tent.

Area of rectangle = length × breadth

                             = 15 × 10

                             = 150 sq. ft.

Hence, Material required to fix the ripped tent is 150 sq. ft.

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The expected loss due to default on the portfolio of 5 loans is 6,250, and the standard deviation of the expected loss is 556.25.

The expected loss due to default on the portfolio of 5 loans is given by the formula:

Expected Loss = Probability of Default x Expected Loss per Loan

Expected Loss = 0.25 x (25,000) = 6,250

The variance of the expected loss due to default on the portfolio of 5 loans is given by the formula:

Variance of Loss = Probability of Default x Variance of Loss per Loan

Variance of Loss = 0.25 x (5000)2 = 312,500

Therefore, the standard deviation of the expected loss due to default on the portfolio of 5 loans is given by the formula:

Standard  Deviation of Loss = √Variance of Loss

Standard Deviation of Loss = √312,500 = 556.25

The expected loss due to default on the portfolio of 5 loans is 6,250, and the standard deviation of the expected loss is 556.25.

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Answer: We can use the formula for compound interest to solve this problem:

A = P * (1 + r/n)^(nt)

where:

A = final amount

P = initial amount (what we want to find)

r = annual interest rate as a decimal (2.5% as 0.025)

n = number of times the interest is compounded per year

t = number of years

Plugging in the known values:

640 = P * (1 + 0.025)^(4)

Solving for P:

P = 640 / (1 + 0.025)^(4)

P = $600.28

So Margot invested $600.28 initially.

Step-by-step explanation:

Answer:

Ordered Pair Verification Solution

getachew tafere

Which ordered pair makes both inequalities true? y≤ -x + 1 y > x

(-3,5)

(-2, 2)

(-1, -3)

(0, -1)

The ordered pair (-1, -3) makes both inequalities true.

getachew tafere

A person deposited $5,000 into a bank account and made no other withdrawals or deposits. Each year, 2.7% interest was added to the account.

Write an exponential function for the situation.

Let y be the amount of money in the bank account after t years, where t >= 0.

The exponential function for this situation is:

y = 5000 * (1 + 0.027)^t

This function models the amount of money in the bank account after t years, given the initial deposit of $5,000 and an annual interest rate of 2.7%.

getachew tafere

Margot invests her money in a certificate of deposit that earns 2.5% compounded annually. After 4 years, Margot's investment is worth $640. How much money did Margot invest initially? Round your answer to the nearest cent.

Let's call the initial amount of money Margot invested as x. We can use the formula for compound interest to find x:

x * (1 + 0.025)^4 = 640

Dividing both sides by (1 + 0.025)^4, we get:

x = 640 / (1 + 0.025)^4

Approximating the expression (1 + 0.025)^4, we get:

x = 640 / 1.103822

x = approximately $580.64

So Margot initially invested approximately $580.64.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Just count the number of results on the Right

        that have at least two heads = 11

  out of 16 combos      =   11/16 = .6875

Equation: y= x × 2 + 20

4 = $28

7 = $34

10 = $40

x is the number of kites purchased, and its $2 dollars for one kite. There is a $20 shipping fee added on.

The sample space for this situation consists of all possible outcomes of the four calls. It can be represented by a set, a tree diagram, or a table.

The sample space for this situation can be represented by the set of all possible outcomes of the 4 calls: S = { nnnn, nnn s, nnsn, nnss, nsnn, nsns, nssn, nsss, snnn, snns, snsn, snss, ssnn, ssns, sssn, ssss }.

The sample space can also be represented by a tree diagram. The top of the tree diagram represents the start of the calls, and each branch splits into two possible outcomes: sale or no sale. The sample space consists of all possible paths through the tree, including the path that contains two successive sales and the path that contains two successive no sales.

For example, the path { nnnn } represents the outcome of four consecutive no sales. The path { ssss } represents four consecutive sales. The path { nnss } represents two successive no sales followed by two successive sales.

The sample space can also be represented by a table. The table consists of four columns, each representing a call. The rows represent the possible outcomes of the four calls. For example, the row { nnnn } represents four consecutive no sales. The row { ssss } represents four consecutive sales. The row { nnss } represents two successive no sales followed by two successive sales.

Overall, the sample space for this situation consists of all possible outcomes of the four calls. It can be represented by a set, a tree diagram, or a table.

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Answer: $925.93

Step-by-step explanation:

See image:

The measure of the two angles will be x > 25° and y = 180° - x°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The two lines are parallel and the third line is a transversal line.

If one angle is greater than 25°. Then the other angle is given as,

Let the angles be 'x' and 'y'. Then angles are supplementary angles. Then the inequality is given as,

x > 25°               ...1

x + y = 180°

y = 180° - x       ...2

From equations 1 and 2, then we have

y = 180° - x

The measure of the two angles will be x > 25° and y = 180° - x°.

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The range and interquartile range of the data set 2, 4, 7, 8, 16, 19, 21 are 19 and 8 respectively.

The range of a data set is the difference between the maximum and the minimum values. In other words, the range is the difference of the highest value and the lowest value of a data set.

Therefore, let's find the range of the data sets. Firstly, let's arrange the data sets in ascending order as follows:

2, 4, 7, 8, 16, 19, 21

range = 21 - 2

range = 19

Let's find the interquartile range of the data set.

The interquartile range is the range of values that resides in the middle of the scores.

Hence,

interquartile range = 8

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The length of QS is obtained as follows:

QS = 28.

The length of QS is obtained applying the proportions in the context of the problem.

The ratio of the side lengths is given as follows:

PQ : QR : RS = 3 : 3 : 1.

The ratio of the side lengths can be simplified as follows:

PQ : QS = 3:4.

Which means that QS is equals to 4/(4 + 3) = 4/7 of the length of segment PS.

The segment PS has a length of 49 units, hence the length of segment PS is given as follows:

PS = 4/7 x 49

PS = 28 units.

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For the function g(x) the changes are mentioned as -

"Slope becomes (-a) from (a) and the y - intercept becomes {-(b + 1)} from b".

In mathematics, the inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective.

Given is the function -

g(x) = - f(x) - 1

Since the function g(x) is not given, we can assume -

f(x) = ax + b                           .... Eq { 1 }

Now -

g(x) = - f(x) - 1

So, we can write -

g(x) = - (ax + b) - 1

g(x) = - ax - b - 1

g(x) = - ax + {-(b + 1)}                                        ... Eq { 2 }

So, we can see that -

Slope becomes (-a) from (a) and the y - intercept becomes {-(b + 1)} from b.

Hence, for the function g(x) the changes are mentioned as -

"Slope becomes (-a) from (a) and the y - intercept becomes {-(b + 1)} from b".

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The number of sides is 72 sides

A polygon can be defined as a plane figure that is known by a finite number of straight line segments that are joined to form a closed polygonal chain.

To determine the number of sides in a polygon given the exterior angle value, we have make use of the formula;

360 degrees/ divide the exterior angle given

Now, substitute we have to substitute the value, we get;

360/5

Divide the values, we get;

72  sides

Hence, the number is 72

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Answer:
The mole ratio that will produce the most product is a/4b. This is because mole a is in excess and will have the most product possible, 4 moles of b for every 1 mole of a. This results in 4 moles of the product being produced. Hope this helped

Step-by-step explanation:

3.

[tex]( \frac{25 + 3}{0.5} ) - 16.4 \div 4[/tex]

6.

[tex]56 - 4.1[/tex]

a) The probability that all three family members are assigned to the same station is  1/27.

b) The probability that at most two family members are assigned to the same station is 11/27.

c) The probability that every family member is assigned to a different station is 2/9.

For (a), there is only one way for all three family members to be assigned to the same station, and there are 3 stations, so the probability is 1/3^3 = 1/27.

For (b), there are three ways for two family members to be assigned to the same station, either A and B, B and C, or A and C. The probability of two family members being assigned to the same station is (1/3)^2 (2/3). There are three ways for this to occur, so the probability is (3) (1/9) (2/3) = 2/3. There is also one way for all three family members to be assigned to the same station, so the probability is (1/3)^3 = 1/27. Adding these two probabilities gives 11/27.

For (c), there are 3! = 6 permutations for the family members to be assigned to different stations. Each family member can be assigned to any of the 3 stations, so the probability is (3!) (1/3)^3 = (6) (1/27) = 2/9.

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Complete Question:

A family consisting of three persons-A, B, and C-goes to a medical clinic that always has a doctor at each of stations 1, 2, and 3. During a certain week, each member of the family visits the clinic once and is assigned at random to a station. The experiment consists of recording the station number for each member. Suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. What is the probability that (a) All three family members are assigned to the same station? (Round your answer to three decimal places.) (Ne Responseberse ssigd tah ni sation number tor each (b) At most two family members are assigned to the same station? (Round your answer to three decimal places.)  (c) Every family member is assigned to a different station? (Round your answer to three decimal places.)

The probability that x is greater than 75 from a normal distribution with a mean of 100 and a standard deviation of 10 is 0.9151.

The formula for calculating the probability that x is greater than 75 from a normal distribution with a mean of 100 and a standard deviation of 10 is P(x>75)=1-P(x<75). The probability can be calculated using the cumulative distribution function of the normal distribution. The cumulative distribution function of the normal distribution is given by

F(x)=1/2[1+erf((x-mean)/(standard deviation*sqrt(2))]

Where erf is the error function defined by erf(x)=2/sqrt(pi)*∫x^0 e^-t^2 dt

Therefore, the probability that x is greater than 75 is

P(x>75)=1-1/2[1+erf((75-100)/(10*sqrt(2))]

=1-1/2[1+erf(-1.25)]

=1-1/2[1-0.1151]

=0.9151

The probability that x is greater than 75 from a normal distribution with a mean of 100 and a standard deviation of 10 is 0.9151.

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In a case whereby Tara is a sales representative for a cosmetic company. She is paid R5.15 per hour each week plus a commission of 10% on the amount of sales over R5 000, the job that would pay more is the second job because  R490.4 > R432. Yes she should change job.

The concept that will be used here is simplification.

We will need to know the amount that she gets from each job so as to know the job would pay more, this can be done as :

The first job:

R5.15*40hours * (7260-5000)*10%

=R5.15*40hours * (2260)*10%

=R432

Hence the salary here  is R432

The second job:

=40 hour* R5 + 7260 *4%

=40 hour* R5 + (7260 *4%)

= R490.4

Hence R490.4 > R432, therefore she should change job.

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The solution is (6, 32) and it means that the total cost of 6 kites from 2 different businesses is $32.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph of two lines,

The intersection point is the solution to the two lines system of equations.

Now,

The intersection point = (6, 32)

This means,

x = 6 and y = 32

x = number of kites

y = total cost of the kites

Thus,

The solution is (6, 32).

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Answer:

1st box = 2/3

2nd box = 16/3

==============================================

Work Shown for the 1st box

2/3 = x/1

x = 2/3

There's not much in terms of steps

------------

Another approach for the 1st box

2/x = 3/1

2*1 = x*3

2 = 3x

x = 2/3

------------

Work Shown for the 2nd box

2/3 = x/8

2*8 = 3*x ... cross multiplying

16 = 3x

x = 16/3

Optionally this can be converted into a mixed number

16/3 = (15+1)/3

16/3 = 15/3 + 1/3

16/3 = 5 + 1/3

16/3 = 5 & 1/3

Answer: 25

It could also be 31 though.

5/45 = 1/9 represents the probability of the best-case scenario. 40/45 = 8/9 represents the probability of the worst-case scenario.

When two socks from the same pair are missing, the likelihood of the best-case scenario increases. As a result, all four pairs of socks are present. Now, 10C2 = 45 gives the total number of possible methods to choose 2 socks from a total of 5 x 2 = 10 socks. The probability of choosing one pair of socks from five pairs is equal to the number of ways to choose two socks from a pool of ten socks, and this is provided by the formula 5C1 = 5.  given by 5 / 45 = 1 / 9. The worst case situation is when they are not from the same pair of socks. As a result, all three pairs of socks are present. Now, 10C2 = 45 gives the total number of possible methods to choose 2 socks from a total of 5 x 2 = 10 socks. 10C2 - 5C1 = 45 - 5 = 40 is the number of ways to choose two socks from a group of ten so that they are not from the same pair.  given that by 40 / 45 = 8 / 9

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Russia has 33 nuclear reactors, which puts it in the top 10 countries in the world with the most nuclear reactors. This puts Russia in the 99th percentile, meaning that 99% of countries have fewer nuclear reactors than Russia.

The 99th percentile is a very high ranking, and it indicates that Russia has a large number of nuclear reactors compared to other countries. This is a testament to the country's commitment to nuclear energy, and it is a sign of the country's technological and economic power.

Overall, Russia has 33 nuclear reactors, which puts it in the 99th percentile. This is a very high ranking, and it shows that Russia is one of the most powerful countries in the world when it comes to nuclear energy. This is a testament to the country's commitment to nuclear energy, and it is a sign of its commitment to sustainability.

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The correct answer is option (A). The answer is metes and bounds.

Given that,

Despite being antiquated, the most adaptable method of defining land, capable of characterizing even the most atypical of parcels, may be summed up as a very exact, compass-directed stroll around a parcel's boundaries.

To find : This approach is frequently known as ?

Metes and bounds are limits of  piece of a land that may be located on its natural features. Metes and bounds markers are frequently employed in a land's "legal description." Legal description, which is recorded with the land's deed, is the geographical description of a piece of land that pinpoints its exact location.

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Answer:

The list that has the angles of AABC in order from smallest to largest is: ZC, ZA, ZB

The measure of the angles of the triangle in order from smallest to largest is ∠C , ∠A , ∠B

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

And , In AABC, AB= 7, BC= 8, and AC=9

We can use the Law of Cosines to determine the size of each angle in AABC:

cos A = (b^2 + c^2 - a^2) / (2bc)

cos B = (a^2 + c^2 - b^2) / (2ac)

cos C = (a^2 + b^2 - c^2) / (2ab)

Plugging in the values of a = 9, b = 7, and c = 8, we get:

cos A = (7² + 8² - 9²) / (2 x 7 x 8) = 39/112

cos B = (9² + 8² - 7²) / (2 x 9 x 8) = 17/18

cos C = (9² + 7² - 8²) / (2 x 9 x 7) = 5/14

Taking the inverse cosine of each value gives:

A = cos^-1(39/112) ≈ 62.02°

B = cos^-1(17/18) ≈ 26.56°

C = cos^-1(5/14) ≈ 91.42°

And , the longest side in a triangle is always opposite the largest angle, and the shortest side is opposite the smallest angle and ∠C , ∠A , ∠B

Hence , the triangle is solved

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If  the length of AB is the same as the length of DC, AC = 9, and

DE = 4, the length of DC is 6 units.

Since DE is parallel to AB and AC = 9, then we can use alternate interior angles to find the length of DC.

Using alternate interior angles, we have:

∠DAC = ∠EAB (Since they are alternate interior angles of two parallel lines)

And from the diagram, we have:

∠DAC = 90° (Since AC is perpendicular to DC)

∠EAB = 90° (Since AB and DE are parallel)

So, we have two right angles, ∠DAC = ∠EAB.

Let find the length of DC:

DC^2 = AC × DE

DC^2 = 9× 4

DC^2 = 36

DC = √36

DC = 6

Therefore, the length of DC is 6 units.

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Based on the given parallelogram, we find that:

Remember that:

11. It was given that:

∠B = 4x - 5

∠D = 3x + 10

∠B?

∠C?

Since ∠B and ∠D are opposite angles, then ∠B and ∠D are congruent.

∠B = ∠D

4x - 5 = 3x + 10

x = 15

∠B = 4x - 5

∠B = 4(15) - 5

∠B = 60 - 5

∠B = 55°

∠B and ∠C are adjacent angles, then ∠B and ∠C are supplementary.

∠B + ∠C = 180°

55° + ∠C = 180°

∠C = 125°

12. ∠B = 53°

∠B and ∠D are opposite angles and congruent; then:

∠B = ∠D = 53°

∠A and ∠C are opposite angles and congruent; then:

∠A = ∠C

∠B and ∠A are adjacent angles and supplementary; then:

∠A + ∠B = 180°

∠A + 53° = 180°

∠A = 127°

∠C = 127°

13. ∠A = 3∠B

∠A and ∠B are adjacent angles and supplementary; then:

∠A + ∠B = 180°

3∠B + ∠B = 180°

4∠B = 180°

∠B = 45°

∠A = 3∠B

∠A = 3(45°)

∠A = 135°

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