A
12

cm
×
2

cm
12cm×2cmstart color #1fab54, 12, start text, c, m, end text, times, 2, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of
8

cm
8cmstart color #11accd, 8, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answer:

666666666666666666666666

Answer:8(x+15)

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

-16 +(-12)

= -16 - 12

adding both of them,

= - 28

Answer:

5x + 6x + 125 = 180

Simplifying this equation, we get:

11x = 55

x = 5

Therefore, the two angles are:

5x = 25 *bold*degrees

6x = 30 *bold*degrees

Adding these to the given angle of 125 degrees, we get a total of:

125 + 25 + 30 = 180 degrees

which is the total sum of angles in a triangle.

Given:

Face value = $101,000

Carrying value = $97,900

Bonds call price = $95,500

Find:

Gain or loss on retirement = ?

So, the formula to find the gain or loss on retirement is:

Carrying value – bonds call price

Substituting their values, we get:

$97,900 - $95,500

= $2,400

The journal entries are:

Dr Bonds payable $101,000

Dr Gain on retirement of bonds $1,200

Cr Cash $95,500

Therefore, you gained $2,400 on retirement.

To add, when a bond is retired at any time before its maturity date, it is said to be retired early.

Based on this model, we can say that accounting for bonds retired at maturity is pretty straight forward: the company pays out cash and removes the bond payable from its balance sheet.

Answer:

I'm pretty sure the answer is 66°

Step-by-step explanation:

Answer: It’s 66 degrees

Step-by-step explanation:

You need two people to answer the question , then you can mark someone brainliest.

The charity will make $367.50 if Greg's grandmother makes 15 bulky scarves with her yarn.

Two or more expressions with an Equal sign is called as Equation.

If Greg's grandmother has no more than 2,250 yards of yarn, and each bulky scarf requires 150 yards of yarn, then she can make at most 2,250/150 = 15 bulky scarves.

Each scarf will be sold for $24.50

If she makes 15 bulky scarves then the charity will make

15 x $24.50

= $367.50.

Therefore, the charity will make $367.50 if Greg's grandmother makes 15 bulky scarves with her yarn.

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Answer:

pam

Step-by-step explanation:

10k is over 6 miles

Answer:

answer B

Step-by-step explanation:

i took test

24 = x+6 is the equation that represents the sentence, "Twenty-four is the sum of a number and six "

Two or more expressions with an equal sign is called Equation.

The given sentence is

Twenty-four is the sum of a number and six ,

Let the other number be x.

By the given sentence, we are clear that we have to get 24 when a number and 6 are added.

Twenty-four is the sum of a number and six , we can write as

24=x+6

Therefore 24=x+6 is the equation that represents sentence "Twenty-four is the sum of a number and six ".

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Answer:

x = 144

Step-by-step explanation:

\( x^\frac{1}{2} - 4 = 8 \)

Add 4 to both sides.

\( x^\frac{1}{2} = 12 \)

Square both sides since x^(1/2) is the same as sqrt(x).

\( (x^\frac{1}{2})^2 = (12)^2 \)

\( x^{\frac{1}{2} \times 2} = 144 \)

\( x^1 = 144 \)

\( x = 144 \)

Answer: 17  

Step-by-step explanation: because (-2.3, --2.3

The average number of viewers over the two week is D. 4.85 x 10^5.

It should be noted that the scientific notation simply has to do with writing of numbers that are either too large or too small. This will be illustrated thus:

In this case, the TV show had 5.6 x 10^5 viewers in the first week and 4.1 x 10^5 viewers in the second week.

Therefore, the average number of viewers over the two weeks will be:

= (5.6 × 10^5) + (4.1 × 10^5) / 2

= 4.85 × 10^5

Note that we had to divide by 2 since it's average.

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The mean and variance of C are 200 & 1960000 respectively.

What are the mean and variance?

The mean is the average of a set of numbers, whereas the variance is the average degree to which each number deviates from the mean.

y ~ Exponential with mean of 10 hours

P. d. f of y,

\(f_{y} (y) = { \left \{ {{\frac{1}{10}e^{\frac{-y}{10} } } \atop {0}} \right.\\\left {{y > 0} \atop { 0 \ otherwise}} \right.\)

\(f_{y} (y) = \int\limits^{\infty}_{-\infty} {y^{k} f_{y} (y)} \, dy\)

\(f_{y} (y) = \int\limits^{\infty}_{0} {y^{k} \frac{1}{10} . e^{-\frac{y}{10} } \, dy\)

\(=\frac{1}{10} \int\limits^{\infty}_{0} {y^{k+1} . e^{-\frac{y}{10} } \, dy\)

\(= \frac{10^{k+1} }{10} \ \Gamma(k+1)\) ---------(1)

E(Y³) = 10³ Γ(3+1)   [putting k = 3 in (1)]

= 10³ Γ(4)

= 10³ 3!    ..........[Γ(n) = (n-1)!]

= 6000

E(Y⁴) = 10⁴ Γ(4+1)   [putting k = 4 in (1)]

= 10⁴ Γ(5)

= 10⁴ 4!    ..........[Γ(n) = (n-1)!]

= 240000

C = 100 + 40Y + 3Y²

Mean of C,

E(C) = E(100 + 40Y + 3Y²)

E(C) = 100 + 40E(Y) + 3E(Y²)

E(Y) = 10           .......[Given]

E(Y²) = 10² Γ(2+1)   [putting k = 2 in (1)]

= 10² Γ(3)

= 10² 2!

= 200

E(C) = 100 + 40(10) + 3(200)

E(C) = 1100

The variance of C,

Var(C) = Var[100 + 40Y + 3Y²]

= 1600var(Y) + 9(Y²)

= 1600[E(Y²) - E²(Y)] + 9[E(Y⁴) - E²(Y⁴)]

= 1600[200 -(10)²] + 9[240000 - (200)²]

= 1960000

Hence, the mean and variance of C are 200 & 1960000 respectively.

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a)0.1587 (or 15.87%)

b)0.6827 (or 68.27%)

c)0.0228 (or 2.28%)

1. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height less than 63 inches is 0.1587 (or 15.87%).

2. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height between 61 and 69 inches is 0.6827 (or 68.27%).

3. Using the Central Limit Theorem, the probability of finding an average of greater than 65 inches with a sample of 35 female college students is 0.0228 (or 2.28%).

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The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

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The value of the line integral ∮c x dx + y dy / \((x^2 + y^2)\), where c is any Jordan curve whose interior does not contain the origin, traversed counterclockwise, is 0.

To evaluate the line integral ∮c x dx + y dy / \((x^2 + y^2)\), where c is any Jordan curve whose interior does not contain the origin, traversed counterclockwise, we can apply Green's theorem.

Green's theorem states that for a vector field F = P(x, y) i + Q(x, y) j, and a simple closed curve C with positively oriented boundary, the line integral of F along C is equal to the double integral of the curl of F over the region enclosed by C.

In this case, the vector field F = x i + y j, and the line integral becomes ∮c x dx + y dy / \((x^2 + y^2)\) = ∬R curl(F) dA.

The curl of F is given by curl(F) = (∂Q/∂x - ∂P/∂y) k = (1 - 1) k = 0.

Since the curl of F is zero, the line integral becomes ∬R 0 dA = 0.

Therefore, the value of the line integral ∮c x dx + y dy / \((x^2 + y^2)\), where c is any Jordan curve whose interior does not contain the origin, traversed counterclockwise, is 0.

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Answer:

x=(6×6)/9=4

just cross multiply and get your answer

Answer:

x=4

Step-by-step explanation:

Step 1

Represent the ratios as fractions

6/9=x/6

Step 2

Cross-multiply the numerators and denominators

9x=6×6

9x=36

9x/9=36/9

Therefore x=4

Step-by-step explanation:

Therefore,

(x+20) + (x-10) + (2x-30) = 180° (Sum of interior angles of a triangle)

Or, x+x+2x+20-10-30 = 180°

Or, 4x-20 = 180°

Or, 4x= 180+20

Or, 4x= 200°

Or, x= 200°/4

Therefore, x= 50°

So,

(x+20)

= 50+20

=70°

(x-10)

= 50-10

40°

(2x-30)

= 2×50-30

=100-30

=70°

Hope it helped, If it did, please mark it as the brainliest answer :)

Answer:

1, 3, 7

Step-by-step explanation:

A rational number can be written as a ratio or fraction.

1) I wasn't able to determine a fraction for what I'm assuming you meant by 0.878787878787 going on and on so it must be irrational

2) 3.624 can be written as 3 78/125

3) The square root of two is irrational

4) 0.6666666 going on and on can be written as 1/3

5) -5.6 can be written as a fraction too

6) 1/3 is already a fraction

7) Pi is irrational

Hope that helps!

Answer:

Si estuviera en una isla deshabitada y solo pudiera traer tres cosas, llevaría mi teléfono, latas de fruta y una manta.

Answer:

the answer is 68.11

Step-by-step explanation:

use symbolab I use it all the time

Answer:

68.11

Step-by-step explanation:

Since one number is negative, your equation is basically

87.31 - 19.2= 68.11

Hope I can be brainliest (:

Population variance of the Fidelity Growth Discovery Fund is larger than the population variance of the American Century Equity Growth Fund.

We will use the following null and alternative hypotheses:

Null Hypothesis: The population variance of the Fidelity Growth Discovery Fund is equal to or less than the population variance of the American Century Equity Growth Fund.

Alternative Hypothesis: The population variance of the Fidelity Growth Discovery Fund is greater than the population variance of the American Century Equity Growth Fund.

We will use a two-tailed test with a significance level of α = 0.05.

The degrees of freedom for the two samples are df1 = df2 = 61 - 1 = 60.

Using the F-distribution with degrees of freedom (df1, df2), we find the critical value for a right-tailed test to be:

Fcritical = Finv(1 - α, df1, df2) = Finv(0.95, 60, 60) = 1.577

To calculate the test statistic, we will use the formula:

F = s1² / s2²

where s1 and s2 are the sample standard deviations of the American Century and Fidelity funds, respectively.

F = (18.9%)² / (15.0%)² = 1.764

Since F = 1.764 > Fcritical = 1.577, we reject the null hypothesis. There is sufficient evidence to support the claim that the population variance of the Fidelity Growth Discovery Fund is larger than the population variance of the American Century Equity Growth Fund.

Note that we used the sample standard deviations to calculate the test statistic, but we made an assumption that the population variances of both funds have equal standard deviations.

This assumption is important in this hypothesis test since the F-distribution is used to model the ratio of two population variances. If this assumption is not reasonable, we should use a modified version of the test called Welch's test, which does not require the assumption of equal variances.

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Population variance of the Fidelity Growth Discovery Fund is larger than the population variance of the American Century Equity Growth Fund.

We will use the following null and alternative hypotheses:

Null Hypothesis: The population variance of the Fidelity Growth Discovery Fund is equal to or less than the population variance of the American Century Equity Growth Fund.

Alternative Hypothesis: The population variance of the Fidelity Growth Discovery Fund is greater than the population variance of the American Century Equity Growth Fund.

We will use a two-tailed test with a significance level of α = 0.05.

The degrees of freedom for the two samples are df1 = df2 = 61 - 1 = 60.

Using the F-distribution with degrees of freedom (df1, df2), we find the critical value for a right-tailed test to be:

Fcritical = Finv(1 - α, df1, df2) = Finv(0.95, 60, 60) = 1.577

To calculate the test statistic, we will use the formula:

F = s1² / s2²

where s1 and s2 are the sample standard deviations of the American Century and Fidelity funds, respectively.

F = (18.9%)² / (15.0%)² = 1.764

Since F = 1.764 > Fcritical = 1.577, we reject the null hypothesis. There is sufficient evidence to support the claim that the population variance of the Fidelity Growth Discovery Fund is larger than the population variance of the American Century Equity Growth Fund.

Note that we used the sample standard deviations to calculate the test statistic, but we made an assumption that the population variances of both funds have equal standard deviations.

This assumption is important in this hypothesis test since the F-distribution is used to model the ratio of two population variances. If this assumption is not reasonable, we should use a modified version of the test called Welch's test, which does not require the assumption of equal variances.

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Answer:

multiply 17x5=85,85+5=90 so aswer is 90

Step-by-step explanation:

Answer:

17+85 is the answer that I got

Answer:

Step-by-step explanation:

Given data set:

It is already in ascending order.

As per data the 5-number summary is:

Answer:

9d^2/(2d + 4).

Step-by-step explanation:

18d^2 /  (4d + 8)

First factorise the denominator:

= 18d^2 / 4(d + 2)

The GCF of 18 and 4 is 2 so this simplifies to:

9d^2/2(d + 2)

= 9d^2/(2d+ 4).

Answer:

3/4

Step-by-step explanation:

\(\frac{x}{y} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7}\\\frac{3}{4} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7 }\)

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Answer:

Step-by-step explanation:

f(-2) = 3 - (-2)^2 = 3 -4 = -1