Given: AE =BD: CD=CE Prove: 0= BC 1) 4E = BD; CD=CE 1, Given 2) HE = 40 +CE 2) Segment Addition Postulate 3) BD = 40 +CD 3) Subtraction Property of Equality 4) AC-CD = 17) 4) Symmetric Property of Equality 5) BD = BC-CD 5) Segment Addition Postulate 6) 4C -CD = BC - CD 6) Transitive Property of Equality 7.40 = BC 7 Substitution Property of Equality

Answer:

4 she sold 6 cars

Step-by-step explanation:

Answer:

The first blank is 81\(x^{2}\)+9=x-1

The second blank is 9x+3=x^2-1

Step-by-step explanation:

For the first part, you must set up the equation (9x+3)^2       then you must multiply the exponent to the inside exponents \(9^{2} x^{2}\)+\(3^{2}\) next, simplify.

81\(x^{2}\)+9=x-1

For part two, set up equation. \(x^{2} -1^{2}\) Then simplify 9x+3= \(x^{2} -1\)

9x + 3 = x - 1

Squaring the left side and simplifying results in​ 81x² + 53x + 10 = 0.

Squaring the right side and simplifying results in x² - 11x - 2 = 0.

Given,

9x + 3 = x -1

We need to square on the left side and right side separately and find the results.

(A + B)² = A² + 2AB + B²

(A - B)² = A² - 2AB + B²

We have,

9x + 3 = x - 1

Squaring the left side.

( 9x + 3)² = x - 1

(9x)² + 2 x (9x) x 3 + 3² = x - 1

81x² + 54x + 9 = x - 1

81x² + 54x - x + 9 + 1 = 0

81x² + 53x + 10 = 0

Now,

9x + 3 = x - 1

Squaring right side

9x + 3 = ( x - 1 ) ²

9x + 3 = x² - 2 x (x) x 1 + 1²

9x + 3 = x² -2x + 1

x² - 2x - 9x + 1 - 3 = 0

x² - 11x - 2 = 0

Thus the results after simplifying 9x + 3 = x - 1 are

Squaring on the left sides:

81x² + 53x + 10 = 0

Squaring on the right sides:

x² - 11x - 2 = 0

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Answer:

5/100

Step-by-step explanation:

Answer:

The z-score for this data is Z = -0.26.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

This is based on knowledge that in the U.S., the mean PAL is 1.65 and the standard deviation is 0.55.

This means that \(\mu = 1.65, \sigma = 0.55\)

A study took a random sample of 51 people who lived in low income neighborhoods and found their mean PAL to be 1.63.

This means that \(n = 51, X = 1.63\)

Using a one-sample z test, what is the z-score for this data

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

By the Central Limit Theorem

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

\(Z = \frac{1.63 - 1.65}{\frac{0.55}{\sqrt{51}}}\)

\(Z = -0.26\)

The z-score for this data is Z = -0.26.

Answer:

Answer:

So if im entirely correct you said

Step-by-step explanation:

deeznutz

Part 1:

Answer:36 red beads

Step-by-step explanation:

12/4=3 beads per bracelet

3x12=36 red beads

Part 2:

Answer:48 red beads

Explanation:

We know 3 red beads per bracelet.

3x16=48 red beads

If a function is defined as z = f(x), then the inverse of the function f is x = f-1 (x) i.e. f-1 defined from z to x.

In mathematics, function is an expression that explains the relationship between the variable and other variable. In this expression, one variable is independent and the other is dependent. unction and into function.

There are four types of functions. There is one to one function, many to one function, onto function, one to one and onto function.

Inverse function refers to the expression where the original output becomes the opposite.

These are the expressions used in mathematics to solve the problems and equations. In other fields of science, inverse function is also used.

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Answer:

Step-by-step explanation:

radius = 16/2 = 8

Then you can apply the formula to calculate the base area, lateral surface or surface or even perimeter

The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

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Answer: My guess is hes incorrect,  its 500 because we know 5 tens is 50 and if we make it ten times 50 it is 500

Answer:

No he’s not correct

Step-by-step explanation:

So he says that 10 times 5 tens is 5 thousands. 5 tens is 50. So if you do 10 times 50 it’s only 500 not 5 thousand. At least this is what I think you mean

Explanation:

The correct way to find how many tickets the museum will give away today is:

Answer:

Martin should have multiplied 150 and 8

Answer: Martin should have multiplied 150 and 8

Step-by-step explanation:

Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

Answer:

Step-by-step explanation:

          Steps                                     Property

x(1 + y) + y(2 + x)                           Given

x + xy + 2y + xy                            Distributive property

x + xy + xy + 2y                            Commutative property of addition

                                                     [a + b = b + a]

x + (xy + xy) + 2y                           Associative property of addition

                                                      [(a + b) + c = a + (b + c)]

x + 2xy + 2y                                  Combine like terms

Answer:

1244 DCD

Step-by-step explanation:

The (g.f)(x)  of the two functions is:

(g.f) (x) = 6x + 37

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To find (g.f) (x), follow the steps below:

1. Substitute the value of f(x) into the function g(x).

2. Then simplify the expression.

That is:

f(x) = 3x+18

g(x) = 2x+1

Thus, we have:

(g.f) (x) = g(f(x))

(g.f) (x) = g(3x+18)

(g.f) (x) = 2(3x+18) + 1

(g.f) (x) = 6x+36 + 1

(g.f) (x) = 6x + 37

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Answer:

One ticket cost $10.90.

Step-by-step explanation:

The total spent was $98.50--food, drinks, admission--everything.

$44.00 was for food and drinks.

We can take the 44 away from the total.

98.50 - 44.00

= 54.50

They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.

54.50 ÷ 5 = 10.90



The price of one ticket was $10.90

To make this look like algebra class...

let x = the price of one ticket

5x = the price of 5 tickets

5x + 44 = 98.50

subtract 44

5x = 54.50

divide by 5

x = 10.90

Answer:

The margin of error is multiplied by 4.

Step-by-step explanation:

Margin of error is:

\(M = \frac{zs}{\sqrt{n}}\)

In which z is related to the confidence level, s is elated to the standard deviation and n is the sample size.

From this, we have that the standard deviation is inversely proportional to the square root of the sample size.

If you cut the sample size in half:

The margin of error is inversely proportional to the square root of the sample size, so if you cut the sample size by \(\frac{1}{2}\), the margin of error will be multiplied by \(2^2 = 4\)

So

The margin of error is multiplied by 4.

Answer:

y=5x-3

Step-by-step explanation:

y - 2 = 5x - 5 (this is after you distributed)

y = 5x -3 ( this is adding two on both sides)

Step-by-step explanation:

The numbers that are missing to complete the number lines are -18,-6,0,12,18 (a), -36,-18,-9, 9, 18, 27, 36(b),-700,-350,350,1050,1400,1750 (c).

In maths and related areas, number lines can be defined as horizontal lines that have numbers placed on them. Moreover, the numbers are placed at equal distances and follow a pattern; for example, 1,2,3,4, etc. or 5,10,15, etc.

Understand the sequence and complete them:

A. The numbers have an interval of 6. Then -18,-12,-6,0,6,18

B. The numbers have an interval of 9. Then: -36,-27,-18,-9,0,8,18,27,36

C. The numbers have an interval of 350. Then: -700, - 350, 0, 350, 700, 1050, 1400, 1750.

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Answer:

1.3 pounds

Step-by-step explanation:

Dan is Correct by concluding  that adults spend a mean of 3 hours each day doing leisure and sports activities. because \(3.08\) hours or \(3.09\) hours which are the mean time of sample A and B  is approximately equal to 3 hours

From the question we are told that:

Total Sample size \(n=500\)

Dan's mean  \(\=x_D= 3hr\)

Bret's mean   \(\=x_D= 4hr\)

Generally, the  Total hours spent doing leisure and sports activities  is mathematically given by

For Sample A

\(T_a=(1*70)+(2*90)+(3*135)+(4*140)+(5*65)\\\\\)

\(T_a=1540 hours\)

For Sample B

\(T_b=(1*80)+(2*80)+(3*130)+(4*135)+(5*75)\)

\(T_b=1545\)

Therefore

Mean Time spent doing leisure and sports activities by an American Adult

For Sample A

\(T_A=\frac{T_a}{n}\)

\(T_A=\frac{1540}{500}\)

\(T_A=3.08\) hours

\(T_A \approx 3\) hours

For Sample B

\(T_A'=\frac{T_b}{n}\)

\(T_A'=\frac{1545}{500}\)

\(T_A'=3.09\) hours

\(T_A' \approx 3\) hours

In conclusion

Dan is Correct because \(3.08\) or \(3.09\) which are the mean time of sample A and B is approximately equal to \(3\)

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The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Answer:

(7,6)

Step-by-step explanation:

rotate 90 degree clockwise: (x,y) -> (y,-x)

The vertex form of the quadratic equations in standard form are, respectively:

Case 9: y = 2 · (x + 2)² - 12

Case 10: y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11: y = 3 · (x - 4 / 3)² - 16 / 3

Case 12: y = - 3 · (x - 3)²

Case 13: y = (x - 4)² + 3

Case 14: y = (x - 1)² - 7

Case 15: y = (x + 3 / 2)² - 9 / 4

Case 16: 2 · (x + 1 / 4)² - 1 / 8

Case 17: y = 2 · (x - 3)² - 7

Case 18: y = - 2 · (x + 1)² + 10

In this problem we find ten cases of quadratic equation in standard form, whose vertex form can be found by a combination of algebra properties known as completing the square. Completing the square consists in simplifying a part of the quadratic equation into a power of a binomial.

The two forms are introduced below:

Standard form

y = a · x² + b · x + c

Where a, b, c are real coefficients.

Vertex form

y - k = C · (x - h)²

Where:

Now we proceed to determine the vertex form of each quadratic equation:

Case 9

y = 2 · x² + 4 · x - 4

y = 2 · (x² + 2 · x - 2)

y = 2 · (x² + 2 · x + 4) - 12

y = 2 · (x + 2)² - 12

Case 10

y = - (1 / 2) · x² - 3 · x + 3

y = - (1 / 2) · [x² + (3 / 2) · x - 3 / 2]

y = - (1 / 2) · [x² + (3 / 2) · x + 9 / 16] + (1 / 2) · (33 / 16)

y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11

y = 3 · x² - 8 · x

y = 3 · [x² - (8 / 3) · x]

y = 3 · [x² - (8 / 3) · x + 16 / 9] - 3 · (16 / 9)

y = 3 · (x - 4 / 3)² - 16 / 3

Case 12

y = - 3 · x² + 18 · x - 27

y = - 3 · (x² - 6 · x + 9)

y = - 3 · (x - 3)²

Case 13

y = x² - 8 · x + 19

y = (x² - 8 · x + 16) + 3

y = (x - 4)² + 3

Case 14

y = x² - 2 · x - 6

y = (x² - 2 · x + 1) - 7

y = (x - 1)² - 7

Case 15

y = x² + 3 · x

y = (x² + 3 · x + 9 / 4) - 9 / 4

y = (x + 3 / 2)² - 9 / 4

Case 16

y = 2 · x² + x

y = 2 · [x² + (1 / 2) · x]

y = 2 · [x² + (1 / 2) · x + 1 / 16] - 2 · (1 / 16)

y = 2 · (x + 1 / 4)² - 1 / 8

Case 17

y = 2 · x² - 12 · x + 11

y = 2 · (x² - 6 · x + 9) - 2 · (7 / 2)

y = 2 · (x - 3)² - 7

Case 18

y = - 2 · x² - 4 · x + 8

y = - 2 · (x² + 2 · x - 4)

y = - 2 · (x² + 2 · x + 1) + 2 · 5

y = - 2 · (x + 1)² + 10

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Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.