9x^3- 18x^2 - 4x + 8 : x- 2

Answer:

2x-6y=-24

2x=-24+6y

x=-24+6y÷2

x=-12+3y equation 1

x+(-5y)=-22

-12+3y-5y=-22

-13-2y=-22

-2y=-22+13

-2y=-9

y=-9÷2

y=4.5equation 2

putting value of equation 2 in equation 1

x=-12+3y

x=-12+3×4.5

x=-12+13.5

x=1.5 answer!!!

Answer:

-8-x or -x-8 or x=-8

Step-by-step explanation:

Distribute the -8 to the (1+x)

-8-8x+7x

then add the -8x+7x

-8-x or -x-8

and if you want to solve for x

x=-8

In general, a type II error occurs when the null hypothesis (in this case, that the true value of µ is not 69 years) is not rejected, even though it is false. This means that the architecture firm fails to detect a difference or effect that actually exists.

The probability of committing a type II error depends on various factors, such as the sample size, the significance level (alpha), the effect size, and the variability of the data. Without more information, I cannot provide a specific answer to your question. However, in general, if the architecture firm has a large sample size and a low significance level (e.g., alpha = 0.05), the probability of committing a type II error may be lower. On the other hand, if the effect size is small or the data are highly variable, the probability of committing a type II error may be higher. In any case, it is important for the architecture firm to carefully consider the power of their testing procedure (i.e., the probability of correctly rejecting the null hypothesis when it is false) and to interpret their results with caution, taking into account the potential for type II errors.

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suppose that the true value of µ is 69 years. the probability that the architecture firm commits a type ii error is______________

Answer:

I’m pretty sure he withdrew $271.48

Step-by-step explanation:

4 hours 15 minutes is the answer to the question

Answer:

Triangle ABC is an isosceles right triangle.

Step-by-step explanation:

Answer:

The base angles are 96 degrees.

Step-by-step explanation:

The top angles are 84 degrees.

All quadrilateral angles must add up to 360 degrees.

The two top angles add up to 168 degrees.

360 degrees - 168 degrees = 192 degrees.

The base angles add up to 192 degrees.

192 divided by 2 = 96.

The base angles are 96 degrees each.

Answer:

Step-by-step explanation:

Volume of cylinder:

Substitute values, consider half-height:

Answer:

141.37 ft³ (rounded)

Step-by-step explanation:

Answer:

\(\displaystyle x=\frac{a+b}{c}\)

Step-by-step explanation:

Equations

Solve the equation:

\(\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}+2=0\)

Subtracting 2:

\(\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}=-2\)

Multiply by ab to eliminate denominators:

\(\displaystyle ab\frac{b-cx}{a}+ab\frac{a-cx}{b}=-2ab\)

Simplifying:

\(b(b-cx)+a(a-cx)=-2ab\)

Operating:

\(b^2-bcx+a^2-acx=-2ab\)

Subtracting \(b^2+a^2\)

\(-bcx-acx=-2ab-b^2-a^2\)

Multiplying by -1:

\(bcx+acx=2ab+b^2+a^2\)

Factoring:

\(c(b+a)x=2ab-b^2+a^2\)

The right side of the equation is the square of a+b:

\(c(b+a)x=(a+b)^2\)

Simplifying (for a ≠ -b):

\(cx=(a+b)\)

Dividing by c:

\(\boxed{\displaystyle x=\frac{a+b}{c}}\)

Answer:

What expressions

Step-by-step explanation:

Next time add the expressions.

Answer:

second option, third option  and last option.

Step-by-step explanation:

The equation that shows the product of a square matrix A and its identity matrix as A is A * I = A.

In matrix multiplication, when a matrix is multiplied by an identity matrix, the resulting matrix is the same as the original matrix. An identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. The size of the identity matrix is determined by the size of the original matrix.

By multiplying a square matrix A by the identity matrix I, each element of A is multiplied by the corresponding element of I, which is 1 if the positions are on the diagonal and 0 otherwise. Since multiplying any number by 1 gives the same number, the resulting matrix will be equal to the original matrix A. Therefore, the equation A * I = A expresses this relationship.


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The least common denominator is (x+5)(x-8).

identify the denominator of  \(\frac{8}{x^2 -3x -40}\)  , \(\frac{-2}{x^2 -8x}\)

::\(x^2 -3x -40\) , \(x^2-8x\)

Find the least common multiple of :\(x^2 -3x -40\) , \(x^2-8x\)

x(x+5)(x-8)

In arithmetic and number theory,  the smallest amount  common multiple, lowest  integer , or smallest  integer  of two integers a and b, usually denoted by least common multiple(a, b),  is that the  smallest positive integer that is divisible by both a and b.Since division of integers by zero is undefined, this definition has meaning  as long as  a and b are both different from zero. However, some authors define least common multiple(a,0) as 0 for all a, since 0  is that the  only common multiple of a and 0.

The least common multiple  is that the  "least common Denominator" (lcd) that can be used before fractions can be added, subtracted or compared.

The least common multiple of more than two integers a, b, c, . . . , usually denoted by least common multiple(a, b, c, . . .),  is additionally  well defined: It is the smallest positive integer that is divisible by each of a, b, c, . . .

A multiple of  variety  is the product of that number and an integer.  for instance , 10  may be a  multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5  and a couple of . Because 10  is that the  smallest positive integer that is divisible by both 5 and 2,  it's  the least common multipleof 5 and 2.

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Answer:

$22,880.04 Without paying off the debt

$18,880.04 After paying off the debt

Step-by-step explanation:

Answer:

C. 6.75n = 114.75

Step-by-step explanation:

The store collects $114.75, each magazine is 6.75, the number of magazines is shown by n.

Answer: The answer is A.

It is A because you have to divide the total by the cost to find out the amount of magazines purchased.

The test statistic of two brands of batteries is -2.177.

\(n_1\) = size of sample 1 = 16

\(n_2\) = size of sample 2 = 21

\(\bar{x_1}\) = mean of sample 1 = 210

\(\bar{x_2}\) = mean of sample 2 = 225

\(\sigma_{1}\) = standard deviation of sample 1 = 20

\(\sigma_{2}\) = standard deviation of sample 2 = 23

T test is test for statistical hypothesis that follows t-distribution table under null hypothesis. T test is used when test statistic would follow a normal distribution if the value of a scaling term in the test statistic were known. So, for this case we use t test for test statistic,

t = \(\frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}}\)

t = \(\frac{210-225}{\sqrt{\frac{20^2}{16}+\frac{23^2}{21}}}\)

t = \(\frac{-15}{\sqrt{\frac{400}{16}+\frac{529}{21}}}\)

t = -15 / 7.0845

t = -2.117

Thus, the two brands of batteries have test statistic result is -2.117

Your question is incomplete, but most probably your full question was

Suppose you are testing to see if there is a difference in population mean lifetime of two brands (1,2) of batteries. Random samples of batteries are taken for each brand and the following data are recorded:

Sample 1: n1= 16, X1 = 210, s1= 20

Sample 2: n2= 21, X2 = 225, s2= 23

What is the test statistic assuming unequal population standard deviations?

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The number of people who waited at least 6 minutes is given as follows:

50 people.

The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.

The desired outcomes for this problem are given as follows:

Hence the number of people who waited at least 6 minutes is given as follows:

20 + 15 + 10 + 5 = 50 people.

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Using Laws of exponents, the solution is: 7³

There are different laws of exponents such as:

- When multiplying by similar bases, keep the same base and add exponents.

- When you raise the base to the first power to another power, keep the same base and multiply by the exponent.

- For equal base division, subtract the denominator exponent from the numerator exponent, keeping the bases the same.

We are given the expression:

(15 - 8)¹¹/[(6 + 1)²]⁴

Simplifying the numerator gives:

7¹¹

Simplifying the denominator gives: 7⁸

Thus, we now have:

7¹¹/7⁸

Applying laws of exponents gives:

7¹¹⁻⁸ = 7³

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

the value of x is 50°mark the brainliest plzz

Answer:

Step-by-step explanation:

Remember :

1.if the two angles ae co interior angles their sum must be 180 degree.

2.If the two angles are corresponding angles they must be equal.

3.If the two angles are alternate interior or also said as alternate angles then they must also be equal.

4.If two angles are vertically opposite angles then they must be equal.

5.If two angles are alternate exterior angles then they must be equal.

Answer:

Square root of 16 is rational beacuse Square root of 16=4 Whlie the others are Irational.

Step-by-step explanation:

Answer:

Step-by-step explanation: squarefoot of 16 is rational cause 16=4

Answer:

Choice B

Step-by-step explanation:

Triangles JKL and TVW are similar by SAS similarity postulate

The future value of an ordinary annuity with a payment of $2,500, an interest rate of 1.15% compounded quarterly, and a duration of 10 years is approximately $126,069.872.

To determine the future value of an ordinary annuity, one can utilize the following formula

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

where:

PMT = Payment amount per period

r = Interest rate per period

n = Number of periods

In this case, the payment amount per period (PMT) is $2,500, the interest rate per period (r) is 1.15% (or 0.0115 as a decimal), and the number of periods (n) is 10 years * 4 quarters per year = 40 quarters.

After substituting the given values into the equation, we obtain:

FV = $2,500 * [\((1 + 0.0115)^{40}\) - 1] / 0.0115

Calculating this expression will give us the future value of the ordinary annuity. Let's calculate it:

FV = $2,500 * [\((1.0115)^{40}\) - 1] / 0.0115

FV ≈ $2,500 * [1.5368 - 1] / 0.0115

FV ≈ $2,500 * 0.5368 / 0.0115

FV ≈ $2,500 * 50.4279

FV ≈ $126,069.872

Therefore, the future value of the ordinary annuity is approximately $126,069.872.

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\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Descartes can make around 24  baskets.

Given:

No. of large boxes  = 6

party favors in each large box = 48

Total no. of party favors in large boxes = 6*48 = 288

Similarly,

No. of small boxes  = 5

party favors in each small box = 16

Total no. of party favors in small boxes = 5*16= 80

Since , he puts 15 favors in each gift basket

According to the question ,

Total baskets he can make = (Total no. of party favors ) / 15

= (Total no. of party favors in large boxes + Total no. of party favors in small boxes) / 15

= (288 + 80) / 15

= 24.55

=24 (approx)

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Answer:

Step-by-step explanation:

b/c we know that these triangles both have equal sides... that is given that ab and be are the same length.   and that be and cd are parallel , we know that they both are isosceles triangles and that the base angles are the same.  The side on ad and ae  have equal angles.

so we can make the equation

2a +56 = 180  (b/c we know that around a triangle it's 180°

2 a = 124

a = 62

so ∠ BAE = 62°

:)

Answer:

24.5 so 24 and a half .....

The trigonometric form of 9(cos 20°+i sin 20°)/5(cos 75 i sin 75°) is 9/5 (cos 305° + I sin 305°). So, the correct option is option 2. 9/5 (cos 305° + I sin 305°).

To find 9(cos 20°+i sin 20°)/5(cos 75°+i sin 75°) and write the result in trigonometric form, we will use the division property of complex numbers in polar form:

(9(cos 20°+i sin 20°))/ (5(cos 75°+i sin 75°)) = (9/5) * ((cos 20° + i sin 20°)/(cos 75° + i sin 75°))

To divide complex numbers in polar form,

we divide their magnitudes and subtract their angles:

Magnitude: 9/5
Angle: 20° - 75° = -55°

So, the result is:

9/5 (cos(-55°) + i sin(-55°))

However, we can also write the angle in the positive equivalent:

9/5 (cos(305°) + i sin(305°))

Thus, the answer is: 9/5 (cos 305° + I sin 305°).

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Answer:

We want to estimate:

\(\frac{\sqrt{8} }{2^2}\)

We can rewrite this as:

\(\frac{\sqrt{8} }{2^2} = \frac{\sqrt{8} }{4} =\frac{\sqrt{8} }{\sqrt{4^2} } =\sqrt{\frac{8}{4*4} } = \sqrt{\frac{2}{4} } = \frac{1}{\sqrt{2} }\)

And √2 is a notable value, we know that:

√2 ≈ 1.41

Then:

\(\frac{1}{\sqrt{2} } = \frac{1}{1.41} = 0.7\)

then:

\(\frac{\sqrt{8} }{2^2} = 0.7\)

is a really good estimation.

if instead:

"the square root of eight divided by two to the second power"

refers to:

\(\sqrt{\frac{8}{2^2} }\)

is easier, we just can replace 2^2 = 4, then we get:

\(\sqrt{\frac{8}{2^2} } = \sqrt{\frac{8}{4} } = \sqrt{2} = 1.41\)

Is also a really good aproximation.

Answer:

19 miles per hour

Step-by-step explanation: