please help asap!!!!!!!!!

By applying the Pythagorean theorem (c² = a² + b²) to the right triangle formed by the ladder, ground, and house height, the height of the house is calculated as approximately 156.9 inches.

To determine the height of the house when the ladder extends to a length of 158 inches, you need to use the Pythagorean Theorem which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (legs).

The ladder represents the hypotenuse of the right triangle formed by the ladder, the ground, and the height of the house. Thus, you can use the formula c² = a² + b², where c is the length of the ladder, and a and b are the length and height of the house, respectively. Rearranging the formula to solve for b, you get b = √(c² - a²).

Substituting c = 158 inches and a = 24 inches (assuming the ladder touches the ground at a distance of 24 inches from the base of the house), you get b = √(158² - 24²) = √(24644) = 156.9 inches, rounded to the nearest hundredth of an inch.

Therefore, the height of the house is 156.9 inches when the ladder extends to a length of 158 inches.

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Answer:

4 2/3 cups

Step-by-step explanation:

Answer:

I think the answers would be 12 and 9.

sorry if it's wrong...

Step-by-step explanation:

Answer:

66.3333333333 depending on the decimal point you'd go to

Answer:

-66+3x ..... Hope it helps

Hey there!

3(–22 + x)

3(–22) + 3(x)

3(–22) = –66

3(x) = 3x

Answer: 3x – 66 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answers:

a) 2 hours and 45 minutes (2:45)

b) 2 hours and 50 minutes (2:50)

c) 2 hours and 20 minutes (2:20)

d) 3 hours and 20 minutes (3:20)

Step-by-step explanation:

Subtract each times.

Replace the 100 value with 60 to represent minutes.

a) 15:20 - 12:35 = 2:45.

b) 13:05 - 10:15 = 2:50.

c) 6:50 - 4:30 = 2:20.

d) 13:15 (1:15 p.m.) - 9:55 = 3:20.

Answer:

260cm²

Step-by-step explanation:

Area of parallelogram = 20 × 13

                                     = 260cm²

Answer: 260 cm^2

Step-by-step explanation: We will be using the same formula as A = b * h for a parallelogram. The base is 20 and the height is 13 (NOT 15 because that is slant height). A = 20 * 13. The answer is 260 cm^2.

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Answer:

4 quarts

Step-by-step explanation:

1 quart = 2 pints

2 quart = 4 pints

3 quart = 6 pints

4 quarts = 8 pints,

therefore Michelle has 4 quarts of milk

hope i helped you!

Answer:

\(r=13.4\)

Step-by-step explanation:

From the question we are told that:

Tangent \(AB=9\)

Length \(AO=10\)

Generally the angle at tangent \(\theta=90 \textdegree\)

Therefore

Generally the equation for raduis R is mathematically given by

 \(AO^2=AB^2+BO^2\)

 \(10^2=9^2+r^2\)

 \(r=\sqrt[100+81}\)

 \(r=13.4\)

Answer: Yes it is

Step-by-step explanation:

Answer:

It’s just -24 minus -18 so that’s $-6

Step-by-step explanation:

For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore general solution will be y(t) = c₁t² + c₂t³

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Answer:

a = -3, b = 6

Step-by-step explanation:

ax + 6 = -3x + b

If a = -3 and b = 6, then the equation would be -3x + 6 = -3x + 6, which would have infinitely many solutions.

If we isolate x, we have (a + 3) x = b - 6. We want the equation to be 0 = 0 for infinitely many solutions, so a has to be -3 and b has to be 6.

Answer: 10 seconds, decreasing, standing still,

Step-by-step explanation:

Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

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This result might not be particularly large or important because there might only be few differences between the research subjects.

Statistical significance is a measure of the probability that a result could have occurred by chance alone. In a study with a large sample size, even small differences between groups or conditions may be statistically significant.

In the case of a study with 5000 subjects, a statistically significant result at the 5% level would mean that there is less than a 5% chance that the result occurred by chance.

However, it's important to remember that statistical significance does not necessarily imply practical significance or importance.

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The hire purchase plan, regular price $4 049, Warranty $599, interest rate 54% with36 monthly instalments​ is $216.45.

Suppose we're given that:

P_v = Present value of the loan amount

r = rate of interest (compound interest) per period of time

n = number of period of time in which loan is to be paid off

P = A fixed period payment needed to be done for paying off the loan in n number of periods.

Then, we get:

\(P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}\)

We are given that;

Price = $4049

Warranty= $599

Interest rate=54%

Number of installments= 36

Now,

Assuming no down payment, the total cost of the purchase with the warranty is $4,049 + $599 = $4,648.

The interest rate is 54% per annum, which translates to a monthly interest rate of 54%/12 = 4.5%.

Using the formula for the monthly payment in a hire purchase plan:

Monthly payment = Total cost / Number of months / (1 - 1 / (1 + monthly interest rate)^number of months)

Plugging in the values, we get:

Monthly payment = $4,648 / 36 / (1 - 1 / (1 + 4.5%)^36)

= $4,648 / 36 / (1 - 1 / 2.7223)

= $4,648 / 36 / 0.6322

= $216.45

Therefore, the monthly payment in this hire purchase plan will be $216.45.

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Answer:

f ≤ 1

Step-by-step explanation:

I hope this helps, I got a few people to help me and really only remembered the answer so sorry I can't teach you much but I have the answer

Answer:

Give them brainliest they helped me

Step-by-step explanation:

Answer: D) 4.7

Ok done. Thank to me :>

The sampling interval is calculated by dividing the digital sampling frequency by the number of samples taken per second.

The sampling interval refers to the time interval between each consecutive sample in a digital signal. It is determined by dividing the digital sampling frequency by the number of samples taken per second. The sampling frequency represents the number of samples captured in one second, while the number of samples per second represents the rate at which the samples are taken. By dividing the sampling frequency by the number of samples per second, we can determine the time interval between each sample.

This is crucial in accurately representing and reconstructing the original analog signal from the digital samples. Therefore, the sampling interval is calculated by dividing the digital sampling frequency by the number of samples taken per second.

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Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

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Answer:

Step-by-step explanation:

Simplify:

Answer:

y=-9x-10

Step-by-step explanation:

First, start by putting the first equation into slope intercept form:

y=-9x+5

We know that in the standard slope intercept formula (y=mx+b), m is the slope and b is the y intercept. Thus, line with the same slope as the one above would have a slope of -9.

To have the same y intercept as y=-8x-10, the y intercept would have to be -10.

Therefore, the formula would be y=-9x-10

Answer:

y = - 6/5x + 8/9

Step-by-step explanation:

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following equations:

Equation 1:

By definition, if two lines are perpendicular then the product of their slopes is -1:

Equation 2:

Finally, the requested equation is:

Answer:3/10

Step-by-step explanation:No matter what you have 3 oranges so regardless there will be a 30% chance.

The chance of picking an orange is 3/10, and since you’re picking twice with replacement this is represented as 3/10 * 3/10 = 9/100

9/100 or 9%

Answer:

'The distribution will exhibit a negative skew'

Step-by-step explanation:

The given parameters of the price of car sales are;

The price range of the cars = $5,000 to $45,000

The data on the histogram includes;

\(\begin{array}{ccc}Car \, Prices&&Cars \, Sold\\5,000 - 10,000 &&200\\10,000-15,000&&350\\15,000-20,000&&550\\20,000-30,000&&700\\30,000-35,000&&550\\35,000-40,000&&350\\40,000-45,000&&200\end{array}\)

Given that the number of cars sold in 10 years that are less than, $5,000 is projected at 200, we have;

\(\begin{array}{ccc}Car \, Prices&&Cars \, Sold\\0-5,000&&200\\5,000 - 10,000 &&200\\10,000-15,000&&350\\15,000-20,000&&550\\20,000-30,000&&700\\30,000-35,000&&550\\35,000-40,000&&350\\40,000-45,000&&200\end{array}\)

Therefore, the number of bars of the histogram before the maximum height on the left will be more than the number of bars of histogram after the maximum height on the right and the histogram will be left-skewed, which is a negative skewness.

Answer:

The answer is D. The mean will shift to the left.

Step-by-step explanation:

if the distribution shows a negative skew it will be shifted to the left.