Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She starts by assigning coordinates to a rectangle as shown. Then she uses the coordinates to write and simplify expressions for the lengths of the diagonals.

Step-by-step explanation:

The margin of error is a statistical tool used to describe how a set off sample data that is being analyzed will accurately correspond with the overall data.

Basically, the margin of error explains how accurate and effective the result from the analysis or a survey is.

This means that the large the margin of error the less accurate the result will be.

An acceptable margin of error typically falls between 4% and 8% at the 95% confidence level.

The margin of error for this sample was 5.7% this means that

49.3% (= 55% – 5.7%) and

60.7% (= 55% + 5.7%)

of cell phone users  will prefer to be contacted by text message

Answer for the question:

It is B.

Answer:

y=1/3

Step-by-step explanation:

3y+1=0

3y=-1

3y/3=-1/3

y=-1/3

Answer:

I dont know for sure but i think its 2,3,4,5,and 6

Answer:

B. 60 square feet

Step-by-step explanation:

took a test and got it right

Answer:

A. 69 square feet

Step-by-step explanation:

add the area of the triangle on top to the

area of the rectangle below

y - w is the base of the triangle

12 - 6 = 6 is the base of the triangle

z - x = height of the triangle

8 - 5 = 3 = height of the triangle

6 times 3 divided by 2 = area of the triangle =

9

y times x is the area of the rectangle below

12 times 5 =

60 is the area of the rectangle below

add up both areas which =

69

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

0.032109

Step-by-step explanation:

From the given information

the estimate of those afflicted with diabetes = 0.0826

the estimate of those that are not afflicted with diabetes = 1 - 0.0826

= 0.9174

From adult with 40

Pr (correct diagnoses) = 0.945

Pr(incorrect diagnoses) = 0.035

The objective that the probability of a randomly selected adult which is over 40 and does not have diabetes, and is diagnosed as having diabetes (false positive) is =  0.9174 × 0.035

= 0.032109

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:

D.

Step-by-step explanation:

We can use the slope-intercept form:

\(y=mx+b\)

Where m is the slope and b is the y-intercept.

We know that the slope is -3.

And the y-intercept is 7.

Hence, we will substitute -3 for m and 7 for b. This yields:

\(y=-3x+7\)

Therefore, our answer is D.

The corporation's current income tax expense or benefit is $330,450.

Tax costs are all of the taxes that a person, business, or other entity owes to the government. Taxable income is multiplied by the effective tax rate to calculate income tax expense. Other taxes, like inheritance or property taxes, may be assessed against the value of an item.

Packard Corporation had a pre-tax book income of $ 500,900.

Then he has a favorable amount of $ 10,900 that he would therefore add, and unfavorable amounts of $ 100,900 and $ 80,450 that would be subtracted.

The current expense or benefit of the corporation's income tax would be 500,900 + 10,900 - 100,900 - 80,450 = $330450

The current income tax expense is $330450.

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Greetings from Brasil...

Isolating S:

B = [(S+Z)/4]·h

B/h = (S + Z)/4

the displacement is 23.14m and the velocity is 21.28m/s

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

The given equation y  = 25t - 1.86t²

at t =  1

So the displacement y = 25-1.86 = 23.14

to find velocity dy/dt = 25- 2(1.86)t

v = 25 - 3.72 = 21.28m/s

Hence the displacement is 23.14m and velocity is 21.28m/s

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The first few term of the given power series are -

c₀ = 42, c₁ = 97, c₂ = 95, c₃ = 104  .....

For the given condition-

f(x) and g(x) are given by the power series f(x)=6+7x+3x²+5x³+⋯ and g(x)=7+8x+3x²+4x³+⋯.

It is known that; f(x) = 6+7x+3+5+⋯ and g(x) = 7+8x+3+4+⋯.

Such that, estimated using following steps in to get the multiply the power series.

f(x) x g(x) = (6+7x+3x²+5x³+⋯ ) x (7+8x+3x²+4x³+⋯.)

f(x) x g(x) = 6(7+8x+3x²+4x³) + 7x(7+8x+3x²+4x³) + 3x²(7+8x+3x²+4x³) + 5x³(7+8x+3x²+4x³)

f(x) x g(x) = 42 + 97x + 95x² + 104x³ + 77x⁴ + 27x⁵ + 20x⁶ + ...  ...eq 1

Now, the equation: gives the generalized power series.

h(x)=f(x)⋅g(x)=c₀+c₁x+c₂x²+c₃x³+⋯.  ...eq 2

Compare eq 1 and eq2

c₀ = 42

c₁ = 97

c₂ = 95

c₃ = 104  .....

Thus, the first few term of the given power series are obtained.

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The complete question is-

Suppose that f(x) and g(x) are given by the power series f(x)=6+7x+3x2+5x3+⋯ and g(x)=7+8x+3x2+4x3+⋯. By multiplying power series, find the first few terms of the series for the product h(x)=f(x)⋅g(x)=c0+c1x+c2x2+c3x3+⋯.

The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

The answer is below,

Step-by-step explanation:

n+q=205n+25q=400

I hope this helps! :)

Answer:

perimeter = 1 3/4

Step-by-step explanation:

1. 3/4 x 2 because there are two sides with the fraction 3/4. 3/4 x 2 is 1 1/2

2. 1/8 x 2 because there are two sides with the fraction 1/8. 1/8 x 2 is 1/4

3. 1 1/2 + 1/4 = 1 3/4

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

9514 1404 393

Answer:

  no

Step-by-step explanation:

It is close, but not exactly a right triangle.

If it were a right triangle, we would have ...

  21² +70² = 73²

We have instead ...

  441 +4900 ≠ 5329

  5341 ≠ 5329 . . . . . . . . not a right triangle

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

Ok :] ummmm report me i'm no help.

Step-by-step explanation:

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Answer:

There is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

Step-by-step explanation:

In this case we need to test whether the mean starting salary of a graduate with a bachelor in economics is $48,500.

The information provided are:

\(\bar x=\$43350\\s=\$15000\\n=50\\\alpha =0.01\)

The hypothesis for the test can be defined as follows:

H₀: The mean starting salary of a graduate with a bachelor in economics is $48,500, i.e. μ = 48500.

Hₐ: The mean starting salary of a graduate with a bachelor in economics is different from $48,500, i.e. μ ≠ 48500.

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

 \(t=\frac{\bar x-\mu}{s/\sqrt{n}}\)

   \(=\frac{43350-48500}{15000/\sqrt{50}}\\\\=-2.42773\\\\\approx -2.43\)

Thus, the test statistic value is -2.43.

Compute the p-value of the test as follows:

 \(p-value=2\times P(t_{49}>-2.43)=0.0188\)

*Use a t-table.

Thus, the p-value of the test is 0.0188.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.0188 > α = 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding  it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.

Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..

Answer:

3.14cm^2

Step-by-step explanation:

A= πr^2

A= 3.14x1^2

A= 3.14cm^2