Can someone help me with this area question

Step-by-step explanation:

32,538÷10⁴=

32,538÷10⁴=10⁴=10000

32,538÷10⁴=10⁴=1000032.538÷10000

32,538÷10⁴=10⁴=1000032.538÷100000.0032538

Answer:

CXXVI is in roman number

Answer:

4,500,000m

Step-by-step explanation:

1.20m=120cm

5m=500m

v=l*b*h

v=120*500*75

v=4,500,000

Answer:

60,000

Step-by-step explanation:

1,000,000 ×.06 = 60,000

it would be an increase of 60,000 in one years time

1,000,000 + 60,000 = 1,060,000

The demand function \($p = 5^{2\sqrt{7}} - \frac{1}{2}p^2$\) has an elasticity of demand equal to -2.32, indicating that demand is inelastic for prices within the interval   \($[0, 5^{2\sqrt{7}})$\).

To find the elasticity of demand, we first take the derivative of the demand function with respect to price:

\(\frac{dp}{dq} = -\frac{p}{5\sqrt{7}}\)

We can then use the formula for elasticity of demand, which is equal to (p/q)(dq/dp), where p and q are price and quantity, respectively. Plugging in the values from the demand function and its derivative, we get:

\(\frac{p}{5\sqrt{7}} - \frac{1}{2}p^2\left(-\frac{p}{5\sqrt{7}}\right)\)

Simplifying this expression, we get:

 \($-\frac{p}{2\sqrt{7}} + \frac{5^2\sqrt{7}}{2}$\)

Finally, we can solve for p when the elasticity of demand is equal to -1, which gives us the interval where demand is inelastic.

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Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

Step-by-step explanation

10 cm

Answer: unknwon

Step-by-step explanation:

because height of pillar not given

The mean salary for employees in the R&D department of company A is $1500 higher than for those in company B.

(a) To test the equality of population variances, we can use the F-test. The null hypothesis (H₀) states that the variances of the two populations are equal,

while the alternative hypothesis (H₁) states that they are not equal.

H₀: σ₁² = σ₂² (the variances are equal)

H₁: σ₁² ≠ σ₂² (the variances are not equal)

To perform the hypothesis test, we calculate the F-statistic using the formula:

F = (s₁² / s₂²)

where s₁² is the sample variance of company A and s₂² is the sample variance of company B

Calculating the F-statistic:

F = (s₁² / s₂²)

F = (5,000² / 6,500²)

F ≈ 0.5966

To determine the critical F-value, we need to consider the significance level and degrees of freedom. With a 0.1 level of significance, and degrees of freedom df₁ = n₁ - 1 and df₂ = n₂ - 1, we can consult an F-distribution table or use statistical software to find the critical value.

Assuming the degrees of freedom are df₁ = 15 and df₂ = 12, the critical F-value for a two-tailed test at α = 0.1 is approximately 2.67.

Since the calculated F-statistic (0.5966) is not greater than the critical F-value (2.67), we fail to reject the null hypothesis. There is not enough evidence to conclude that the population variances of the two companies are significantly different.

(b) Now, we will perform a hypothesis test to determine if the mean salary for employees in the R&D department of company A is $1500 higher than for those in company B. We will use a 0.05 level of significance.

The null hypothesis (H₀) states that there is no difference in the means:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ > 0 (since we want to test if the mean salary of company A is higher)

To perform the hypothesis test, we can calculate the test statistic using the formula are the sample means, s₁ and s₂ are the sample standard deviations, n₁ and n₂ are the sample sizes, and Δ is the hypothesized difference in means ($1500).

Given:

Company A s₁ = $5,000

Company B: = $6,500

Δ = $1500

Calculating the test statistic:

t = [(83,150 - 80,500) - 1500] / sqrt[(5000² / 16) + (6500² / 13)]

t ≈ 2.5884

To determine the critical t-value, we need to consider the significance

level and degrees of freedom. With a 0.05 level of significance and degrees of freedom df = n₁ + n₂ - 2, we can consult a t-distribution table or use statistical software to find the critical value.

Assuming the degrees of freedom are df = 16 + 13 - 2 = 27, the critical t-value for a one-tailed test at α = 0.05 is approximately 1.703.

Since the calculated t-statistic (2.5884) is greater than the critical t-value (1.703), we reject the null hypothesis. There is sufficient evidence to conclude that the mean salary for employees in the R&D department of company A is $1500 higher than for those in company B, at a 0.05 level of significance.

(ii) To calculate the p-value for this case, we can use statistical software or consult a t-distribution table with the degrees of freedom df = 27. The p-value represents the probability of observing a test statistic as extreme as the one calculated (or more extreme) under the null hypothesis.

Assuming the degrees of freedom are df = 27, the p-value for the calculated t-statistic (2.5884) can be determined to be approximately 0.0075.

Since the p-value (0.0075) is less than the significance level (α = 0.05), we reject the null hypothesis. There is strong evidence to support the conclusion that the mean salary for employees in the R&D department of company A is $1500 higher than for those in company B.

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Answer:

3^x + 10x+2x-4

Step-by-step explanation:

f(x) = 3^x + 10x and g(x) = 2x - 4

(f + g)(x)= 3^x + 10x+2x-4

Answer:

(f + g) x = 3 ^x + 10 x + 2 x - 4

Step-by-step explanation:

f (x) = 3^x + 10 x and g(x) = 2x - 4,

sum of f (x ) and g ( x ) =

(f + g) x = 3 ^x + 10 x + 2 x - 4

Answer:

20cm

Step-by-step explanation:

We know that on the map, 3 cm represents 150 m.

To find how far apart two points are on the map when they are 1 km (1000 m) apart in reality, we can set up a proportion using the given scale:

(3 cm) / (150 m) = (x cm) / (1000 m)

We can cross-multiply and solve for x:

3 cm * 1000 m = 150 m * x cm

3000 cm * m = 150 m * x cm

The unit "m" cancels out, leaving us with:

3000 cm = 150 * x cm

Divide both sides by 150 cm:

3000 cm / 150 cm = x

20 = x

Therefore, the two points are 20 cm apart on the map.

Answer:

A. Definitely similar

Step-by-step explanation:

abcd = efgh

ab = 5 and ef = 2.5

bc = 6 and fg = 3

cd = 7 and gh = 3.5

da = 4 and he = 2

ABCD is EFGH x 2

What I'm trying to say in short is that the shape is dilated by 2.

The answer of the given question is A) the correct option is A)No. Isobel needs 19 batches x 2 cups per batch = 38 cups of water. 19).  Isobel would need 768 tablespoons of cornstarch to make 24 batches of green slime.

In mathematics,  formula is  concise and general way of expressing information or  relationship between quantities. It typically consists of symbols and mathematical operations, and is used to calculate or derive  specific value or result based on given inputs or variables.

Formulas can be used in a variety of mathematical contexts, such as algebra, geometry, calculus, and statistics. They can describe simple relationships between two or more variables, or more complex relationships involving multiple variables and equations.

A. No. Isobel needs 19 batches x 2 cups per batch = 38 cups of water. Since Isobel only has 36 cups of water, she does not have enough water to make 19 batches of green slime.

Therefore, the correct choice is A.

19).  To answer the second question:

Given that one cup is equal to 16 tablespoons, we can calculate the total number of tablespoons needed for 24 batches of green slime as follows:

24 batches x 2 cups per batch x 16 tablespoons per cup = 768 tablespoons.

Therefore, Isobel would need 768 tablespoons of cornstarch to make 24 batches of green slime.

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Answer:

B

Step-by-step explanation:

7/9 = 0.777777...

This rounds to 0.78

The number of tosses required is 3.

On a fair toss of dice, outcomes are 1, 2, 3, 4, 5, 6.

So, a dice has 6 possible outcomes.

Probability refers to the measurement of the likelihood of certain events that will occur.

Probability = (Number of desired outcomes)/(Total number of outcomes)

Probability of occurrence of 6 in one toss = 1/6

We have to find that after how many trials probability of 6 becomes 1/2

Let,s say the number of trials = n

1/6 + 1/6 +1/6 ……...upto n times = ½

n*(1/6) = 1/2

n=3.

Here, we just sum up the probability of 6 in one toss n number of times to get the answer as 3.

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Radius = 799.877cm

or = 7.99877m(in meters)

Explanation

Radius of a circle from area: if you know the area A, the radius is r = √(A / π).

➟ r = √(201/3.142)

➟ r = √63.98

➟ r = 7.99877m

Considering exponential functions, it is found that:

6.

12. The number of hits 3 weeks from now will be of 27,348, hence option B is correct.

An exponential function is modeled according to the rule given next:

\(y = ab^x\)

The parameters of the exponential function are defined as follows:

For item 6, considering the points (0,10) and (1,7.5), the parameters are given as follows:

For item 12, the initial amount and the rate of change are given as follows:

a = 34,000, b = 1 - 0.07 = 0.93.

Hence the number of hits x weeks from now is modeled according to the following function:

\(h(x) = 34000(0.93)^x\)

After 3 weeks, x = 3, hence the number of hits will be of:

\(h(3) = 34000(0.93)^3 = 27348\)

Meaning that option B is correct.

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Answer:

x=4

Step-by-step explanation: take (possative)3x and add it to -5x. -2x+9=1. subtract 9 from 1. -2x=-8. devide bolth sides by -2. a negative devided by  a negative makes a possative soit equallls x=4

Answer:

The rate of change is also called the slope.  The slope is -2

Step-by-step explanation:

Find 2 points on the line.  I am going to use the points (0,5) and (4, -3).  the rate is the change in y over the change in x.  From the two points, my values are -3 and 5.  The x values are 4 and 0.

To find the change, I subtract the y values and the x values.

\(\frac{-3-5}{4-0}\) = \(\frac{-8}{4}\) = -2

Answer: -2

Step-by-step explanation: The rate of change is also known as the slope!

To find the slope, you need to find the rise/run.

Let's pick two points ( 0,5) ( 4, -3)

You see that the y goes down by 8 and the x goes right by 4, so the rate of change is -8/4 = -2

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Problem

Melissa has reached her credit card limit of $ 6,500. Since Melissa has poor credit history, the annual interest rate on her credit card is 19%. Using an online calculator, Melissa determined that if she pays $ 220 per month and does not make any additional purchases with her credit card, it will take her 41 months to pay off the credit card. Which of the follow represents the total interest Melissa will pay when her credit card is paid off?

Solution

For this case we can start the amount of money paid by Mellissa with this operation:

220$/month *41 months = $9020

And since the credit card limit is $6500 we can calculate the interest paid with this difference:

$9020- $ 6500=$2520

And the best answer for this case would be $2520

Yes, if you have minimums and maximums that are several standard deviations away from the rest of the data observations, medians would be the best measure of central tendency.

Having minimums and maximums that are far away (several standard deviations away from the mean) from the rest of the data observations, medians would be the best measure of central tendency. This is because, when there are outliers or extreme values in a dataset, the mean can be influenced and it may not be an accurate representation of the central tendency.

However, the median is not affected by extreme values or outliers since it only depends on the middle value of the dataset. Therefore, if the dataset has outliers, it is better to use the median as a measure of central tendency to provide a more accurate representation of the data.

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\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

Using basic mathematical operations such as addition and subtraction, the art club have $358 after the show.

Basic mathematical operations includes addition, subtraction, multiplication, and division.

Addition is combining two or more values to come up with a total or sum. On the other hand, subtraction, the opposite of addition, is removing a value from another resulting to their difference.

If the art club raised $248 through fundraisers, spent $206 to set up an art show, and raised another $316 at the art show, adding the total amount they raised and subtracting the amount they have spent, we can solve how much money they have after the show.

$248 - $206 + $316 = $358

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Music us enjoy to --- and said aaaa

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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The probability that the squad will have exactly three women members is 0.389

Total number of people in CU Boulder triathlon = 21

Number of Men = 9

Number of Women = 12

We are told that a 5-member squad is selected and now we want to find the probability that the squad will have exactly 3 women members.

Thus;

P(exactly 3 womens) = (12C3 * 9C2)/(21C5)

P(exactly 3 womens) =7920/1716

P(exactly 3 womens) = 0.389

Hence, the probability that the squad will have exactly three women members is 0.389

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Answer:

sin R = 20 / 29

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin R = opp / hyp

sin R = 20 / 29

The simplified expression of g⁻³ g⁻¹ is 1 / g⁴.

To simplify the expression g⁻³ g⁻¹, we can apply the exponent rules. When multiplying two terms with the same base, we add their exponents. In this case, we have g raised to the power of -3 and g raised to the power of -1.

Using the rule, we add the exponents:

g⁻³ g⁻¹ = \(g^{(-3 + -1)}\)

Now, to simplify the exponents, we add -3 and -1:

\(g^{(-3 + -1)} = g^{(-4)}\)

Since the exponent is -4, we can rewrite the expression using a positive exponent:

g⁴ = 1 / g⁴

Therefore, the simplified expression is 1 / g⁴, where g is the base raised to the power of 4.

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Answer:

I believe it is D.

Step-by-step explanation:

Hope it helps! =D