5000 jumps for 8 hours ___ per hour

Answer: A C and D

Step-by-step explanation:

Answer: A B

Step-by-step explanation: because I sadly had to figure it out, anyways hope this helps y'all

Answer:

The probability of selecting two democrats is 1/380

Step-by-step explanation:

Here we are given the people as,

8 democrats, 8 republicans and 6 independent.

So total number of people are: 8+6+6=20

Probability of choosing first democrat = 1/20

Probability of choosing first democrat = 1/19

Thus P( two democrats in succession ) = 1/20 ×1/19

                                                                = 1/380

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Answer:

This is because the object on the 1st scale weighs (more) than the object on second scale, each pound of error results in a (lesser) percent error. The first scale was (10) pounds off the second scale,was (3) pounds off, so 1st scale was (10)% off 2nd scale was (12)% off.

Answer:

Because the object on Scale 1 weighs more than the object on Scale 2, each pound of error results in a lesser percent error. Scale 1 was 10 pounds off and Scale 2 was 3 pounds off, so Scale 1 was 10% off and Scale 2 was 12% off.

Step-by-step explanation:

Got it right on TTM so yeah! :)

Answer:

$7.34

Step-by-step explanation:

To compute sum of dollars that are not whole numbers. Using the sum of$5.89 and$1.45 as an illustration :

$5.89 + $1.45

Taking the whole numbers first:

$5 + $1 = $6

Take the sum of the decimals :

$0.89 + $0.45 = $1.34

Sum initial whole + whole of sum of decimal

$6 + $1 = $7

Remaining decimal : $1.34 - $1 = $0.34

$7 + $0.34 = $7.34

Answer:

58.3m^3

Step-by-step explanation:

volume of a pyramid = 1/3 x length x width x height

1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

This is a false dilemma, also known as a black-and-white fallacy, which presents only two extreme options and assumes that there are no other alternatives.

In this case, the dilemma suggests that the only two choices for the Mitchells are to get a divorce or to stay married, and both options have negative outcomes. However, there may be other alternatives that are not considered in this dilemma, such as counseling, financial planning, or other ways to improve their relationship and financial situation.

A possible refutation could be constructing a counterdilemma, such as:

Are there no other alternatives for the Mitchells to consider besides getting a divorce or staying married? What if they sought professional counseling or financial advice to address their issues?

Are poverty and misery the only possible outcomes for the Mitchells if they get a divorce or stay married? What if they found ways to improve their financial situation or relationship while living apart or together?

By questioning the premise of the dilemma and considering other options, we can escape between the horns or grasp the situation by the horns and find a better solution.

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Answer:

the greatest common factor of 75 and 40 is 5

Answer:

$81.25

Step-by-step explanation:

first change the percent into a decimal by moving the point 2 spaces to the left. then multiply that decimal by the asnwer to see how muhc money she's getting off. Finally subtract the total by that number.

Answer:

48

Step-by-step explanation:

definition of very similar triangles hope the answer is correct

Answer: A & C

Step-by-step explanation:

Line : A line is a collection of infinite points in two opposite directions.

Segment : Segment is a part of line having two fixed endpoints.

From the picture attached,

AC is a segment having two fixed endpoints A and C.

And two arrows joining these points and moving in opposite directions are forming a line.

Therefore, two points that determine line AC are A and C.

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If line J is perpendicular of line K, they should cross to make an X. If the slope of line K is -5, Line J would be 5.

Answer: The function has three x-intercepts.

Step-by-step explanation:

To find the x-intercepts of a function, we need to find the values of x for which the function equals zero.

So, to find the x-intercepts of the function:

F(x) = (x+5)^3(x-9)(x-1)

We need to solve the equation:

F(x) = 0

We can see that the function will be equal to zero when any of the factors on the right-hand side is equal to zero. Therefore, we need to solve the following four equations:

(x+5) = 0, which gives x = -5

(x-9) = 0, which gives x = 9

(x-1) = 0, which gives x = 1

(x+5)^3 = 0, which gives x = -5

The last equation, (x+5)^3 = 0, has a triple root at x = -5, since the factor (x+5) appears three times. Therefore, there are a total of three x-intercepts for the function:

x = -5 (with multiplicity 3), x = 1, and x = 9.

Answer: -3.3°F

Step-by-step explanation:

In integers , we represent fall in quantity by negative numbers.

Since, the temperature at noon was 16.8°F . By dropping it by  20.1°F means there is a - 20.1°F  change in the temperature.

Then, the temperature at midnight = 16.8°F + (- 20.1°F)

=  16.8°F - 20.1°F

= -3.3°F

Hence, The temperature at midnight was -3.3°F .

Based on the information given regarding the bias, the correct option is A. Because of response bias, the survey results may overestimate the true proportion of satisfied customers.

From the information given, it can be depicted that the type of bias that's present is the response bias because the customers may not respond truthfully to the server.

Therefore, because of response bias, the survey results may overestimate the true proportion of satisfied customers. In this case, the survey will show a higher number of satisfied customers which isn't a true reflection.

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Answer:

a

Step-by-step explanation:

Answer:

To find how many times larger one number is than another, we need to divide the larger number by the smaller one.

(3 x 10^15) / (6 x 10^10)

= (3/6) * (10^15 / 10^10)

= 0.5 * 10^5

= 5 x 10^4

So the answer is:

C) 5 x 10^4

The alternative hypothesis is  H0: μ = 120; HA: μ ≠ 120; test static is -1.9666; and p-value is between 0.025 and 0.05.

a. The null and alternative hypotheses for the test are:
H0: μ = 120; HA: μ ≠ 120

b. To calculate the value of the test statistic, use the following formula:
test statistic (z) = (sample average - population mean) / (population standard deviation / √sample size)
z = (112 - 120) / (25 / √38)
z = (-8) / (25 / 6.1644)
z = -8 / 4.0675
z = -1.9666 (rounded to 4 decimal places)

Now, find the p-value using the z-table:
Since the alternative hypothesis is a two-tailed test (μ ≠ 120), we need to find the two-tailed p-value.
From the z-table, the area to the left of -1.9666 is approximately 0.0247.
Since it's a two-tailed test, we multiply the area by 2.
p-value = 2 * 0.0247 = 0.0494 (rounded to 4 decimal places)

The p-value is between 0.025 and 0.05.

c. Since the p-value (0.0494) is greater than α = 0.01, we fail to reject the null hypothesis at the 0.01 significance level. Therefore, there is not enough evidence to conclude that the average braking distance differs from 120 feet.

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The value of x that is a solution to the equation 2x^2 + 7x - 30 is x = -2.5 To find the solution to the equation 2x^2 + 7x - 30, we can set the equation equal to zero and solve for x. The equation becomes:

2x^2 + 7x - 30 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. Let's factor it:

\((2x - 3)(x + 10) = 0\)

Setting each factor equal to zero:

\(2x - 3 = 0 or x + 10 = 0\)

Solving for x in each equation:

\(2x = 3 or x = -10\\x = 3/2 or x = -10\)

So, we have two possible solutions: x = 3/2 (or x = 1.5) and x = -10. However, when we look at the given options, we find that none of them match x = 3/2. Therefore, it is not a solution to the equation. The only option that matches one of the solutions we found is x = -2.5. Plugging this value back into the original equation: 2(-2.5)^2 + 7(-2.5) - 30 = 0

Simplifying

\(2(6.25) - 17.5 - 30 = 0\\12.5 - 17.5 - 30 = 0\\-5 - 30 = 0\\-35 = 0\)

Since -35 does not equal zero, the equation is not true. This confirms that x = -2.5 is indeed a solution to the equation 2x^2 + 7x - 30 = 0. Therefore, the correct value of x that is a solution to the equation is x = -2.5.

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In the equation y = mx + b, the meaning of the m and the b is

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + b

Information gotten from the question include

In the equation y = mx + b

m = ? and b = ?

y = mx + b

definition of variable to suit the problem

y = output variable

m = slope

x = input variable

b = y intercept

therefore m and b are the slope and y intercept respectively

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The data plotted on the scatter plot reveals there is a positive linear association between the number of hours worked and tips earned. (Option C).

Recall:

The scatter plot given shows a trend line of the data. It also shows that as time worked increases, tips earned also increases. This shows a positive linear association between tips earned and time worked. (Option C).

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To determine the appropriate p-value, we need to compare the calculated test statistic with the critical value for the given significance level (α). Since the alternative hypothesis is two-sided, we'll divide the significance level (α) by 2.

The degrees of freedom for the t-test in this case would be (n - 1) = (30 - 1) = 29, where n is the number of observations in the sample.

Let's look up the critical value for a two-sided t-test with 29 degrees of freedom and a significance level of α/2 = 0.05/2 = 0.025.

Using statistical tables or software, the critical value for a t-test with 29 degrees of freedom and a significance level of 0.025 is approximately 2.045.

Now, we compare the calculated test statistic (2.36) with the critical value (2.045):

If the calculated test statistic is greater than the critical value (2.36 > 2.045), the p-value would be less than the significance level (α) since it falls in the rejection region. In this case, we reject the null hypothesis.

If the calculated test statistic is less than the critical value (2.36 < 2.045), the p-value would be greater than the significance level (α). In this case, we fail to reject the null hypothesis.

Therefore, the appropriate p-value for the calculated test statistic of 2.36 would be greater than 0.025. The options provided are 0.05, 0.025, 0.012, and 0.013. Among these options, the appropriate p-value would be 0.05 since it is greater than 0.025.

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Answer:

8 meters of ribbon

Step-by-step explanation:

because a square has four sides so if you do 2×4 =8

Answer:

Step-by-step explanation:

its subtracting 4 each time

Answer:

3 packages

Step-by-step explanation:

each package has 3

if she buys 1, she has 3 party favors

buys 2, has 6

buys 3, has 9

she can't buy 2 packages, then one friend doesn't get a party favor. so she will have to buy 3 packages, use 7, leave 2 extra.

please give thanks :)

Mary should buy 3 packages to have enough for all the friends.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, Mary is planning her birthday party. She's inviting 7 friends and wants to buy party favours. The favours she wants to come in packages of 3.

Since, Each package has 3 favours

if she buys 1, she has 3 party favours

If buys 2, has 6

And, if buys 3, has 9

she can't buy 2 packages, then one friend doesn't get a party favour.

So, she will have to buy 3 packages, use 7, leave 2 extra.

Hence, she will need 3 packages.

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Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.

Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.

We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.

We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.

Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.

Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)

Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.

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a. we can express C as C = 1000h + x(20 + 25h). b. e can express h as a function of x as h = k/x. c. the optimal number of firefighters depends on the nature of the fire and the firefighting equipment used.

A. The cost of the fire, C, can be expressed as the sum of the cost of the lost timber and the cost of the firefighters. The cost of the lost timber is given by 1000h, and the cost of the firefighters is given by the product of the number of firefighters (x), the total hours worked (h), and the cost per firefighter (20 + 25h). Therefore, we can express C as:

C = 1000h + x(20 + 25h)

B. We are given that x firefighters can stop the fire in 0 hours, which means that the rate at which the fire is extinguished is proportional to the number of firefighters. Therefore, we can express h as a function of x as follows:

h = k/x

where k is a constant of proportionality that depends on the nature of the fire and the firefighting equipment.

C. To find the number of firefighters that should be used to minimize the cost of the fire, we need to find the value of x that minimizes the function C. To do this, we can take the derivative of C with respect to x and set it equal to zero:

dC/dx = 20 + 25h - k/x^2 = 0

Substituting the expression for h in terms of x, we get:

20 + 25(k/x^2) - k/x^2 = 0

Simplifying, we get:

k/x^2 = 20/5

x^2 = k/4

This shows that x should be inversely proportional to the square root of k. Since k is a constant that depends on the nature of the fire, we cannot determine its value without additional information. However, we can conclude that as k increases, the optimal number of firefighters decreases, and as k decreases, the optimal number of firefighters increases. Therefore, the optimal number of firefighters depends on the nature of the fire and the firefighting equipment used.

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The circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j is    2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

Integration is described as blending matters or human beings collectively that have been formerly separated. An example of integration is while the schools have been desegregated and there have been now not separate public faculties for African individuals.

The method of finding integrals is referred to as integration. at the side of differentiation, integration is a fundamental, crucial operation of calculus, and serves as a device to solve troubles in mathematics and physics regarding the location of an arbitrary form, the length of a curve, and the extent of a solid, among others.

r (t) = cost i + sin t j = dr( sin ti + cos t)dt

F =  -xi -yj = -costi - sin tj

Flux = F .dr = \(\int\limit2n^0_b {-costi - sin tj} \, dx\)j)-( sin ti + cos t)dt

           \(\int\limit2n^0_b {-costi - sin tj} \, dx\) -( sin ti + cos t)dt

     2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

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The sample mean is c) M=51.

To find the sample mean, we can use the formula for z-score:
                                              z = (X - M) / s

where:

In this case, we have two equations with two unknowns:

-0.25 = (M - 3 - M) / s
-0.75 = (44 - M) / s

Multiplying both sides of the first equation by s gives us:
-0.25s = M - 3 - M

Simplifying gives us:
-0.25s = -3

Next, we can multiply both sides of the second equation by s:
-0.75s = 44 - M

Now we can substitute the value of s from the first equation into the second equation:
-0.75(-3 / 0.25) = 44 - M

Simplifying gives us:
9 = 44 - M

Finally, we can solve for M:
M = 44 - 9
M = 35

So the sample mean is 35.

However, this answer is not one of the options given. It's possible that there was a mistake in the original question or in the calculations. Double-checking the calculations and the original question can help determine the correct answer. In this case, the correct answer is c. M=51.

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the ladder reaches about 18.75 feet up the side of the house.

we can use the Pythagorean theorem which states that in a right triangle, the sum of the squares of the two shorter sides (the legs) is equal to the square of the longest side (the hypotenuse). In this case, the ladder is the hypotenuse, and the distance from the house to the base of the ladder is one leg.
So, if we let x be the distance up the side of the house that the ladder reaches, then we can write:
\(x^{2}\) + \(7^{2}\) = \(20^{2}\)
Simplifying this equation, we get:
\(x^{2}\) + 49 = 400
Subtracting 49 from both sides, we get:
\(x^{2}\) = 351
Taking the square root of both sides, we get:
x ≈ 18.75 feet

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