Find the area of the composite figure, rounding to the nearest tenth.

Answer:

i THINK im not sure but i think its C please let me know if im wrong

Step-by-step explanation:

Answer:

−4−10+16

Step-by-step explanation:

−4-10+6+10

-4x-10y+16

Answer:

hi!

your answer is

2/3

Step-by-step explanation:

this is because 0.333 is 1/3

so 0.666 is 2/3

hope this helps

pls put brainliest

No, it is not true that ∫0 to 1 l(θ | x0) dθ = 1.

The integral of the likelihood function l(θ | x0) over the parameter space [0, 1] does not necessarily equal 1.

Here, The likelihood function l(θ | x0) measures the probability of observing the data x0 given the parameter value θ.

It is a function of the parameter θ, and not a probability distribution over θ.

Therefore, the integral of the likelihood function over the parameter space does not have to equal 1, unlike the integral of a probability density function over its support.

In fact, the integral of the likelihood function over the parameter space is often referred to as the marginal likelihood or the evidence, and is used in Bayesian inference to compute the posterior distribution of the parameter θ given the data x0.

The marginal likelihood is given by:

∫_0^1 l(θ | x0) p(θ) dθ

where , p(θ) is the prior distribution of the parameter θ.

The marginal likelihood is used to normalize the posterior distribution so that it integrates to 1:

p(θ | x0) = l(θ | x0) p(θ) / ∫_0^1 l(θ | x0) p(θ) dθ

In conclusion, the integral of the likelihood function over the parameter space does not necessarily equal 1, and is used in Bayesian inference to compute the posterior distribution of the parameter θ given the data x0.

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Answer:

T > 42

Step-by-step explanation:

T has to be greater than 42 minutes.

Answer:

7>x

Step-by-step explanation:

First get X on one side by adding 37 to both sides

-2 > 5x - 37

+37       +37

35> 5x

now dive both sides by GCF (5)

35/5> 5x/5

7>x

Hope this helps! Plz award Brainliest : )

Answer:

\(x<7\)

Step-by-step explanation:

\(-2>5x-37\)

Switch sides:

\(5x-37<-2\)

Add 37 to both sides:

\(5x-37+37<-2+37\)

\(5x<35\)

Divide 5 to both sides:

\(\frac{5x}{5}<\frac{35}{5}\)

\(x<7\)

Answer:

91 in2

Step-by-step explanation:

11+15 over 2 , times by 7 equals 91 ??

Answer:

-8

Step-by-step explanation:

Add the two numbers but maintain the negative sign.

Answer:

- 9 + 12x

Step-by-step explanation:

- 3(3 - 4x) ← multiply each term in the parenthesis by - 3

= - 9 + 12x

Answer:

the width is 8 inches

Step-by-step explanation:

area=length x width

88=11(w)

w=8

Answer:

8

Step-by-step explanation:

A flyer is the shape of a rectangle ad its area uses the formula A = l*w. Since the area is 88 and the length is 11 inches, then 88 = 11*w. Solve for w.

88/11 = 11w/11

8=w

We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.

To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)

Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic

a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.

Given:

Older adults: n = 28, sample mean = 801, sample standard deviation = 117

Using the formula for a confidence interval for the mean, we have:

Margin of error = t * (sample standard deviation / √n)

Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.

Calculating the margin of error:

Margin of error = 2.576 * (117 / √28) ≈ 56.44

The confidence interval is then calculated as:

Confidence interval = (sample mean - margin of error, sample mean + margin of error)

Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)

b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.

The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.

The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.

. With the given data, perform the t-test and obtain the p-value.

c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.

Given:

Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117

Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72

Calculating the standard error of the difference in means:

Standard error = √((s1^2 / n1) + (s2^2 / n2))

Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89

Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.

Calculating the margin of error:

Margin of error = t * standard error

Margin of error = 2.048 * 33.89 ≈ 69.29

The confidence interval is then calculated as:

Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)

Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)

Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.

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Suppose a population of observations is normally distributed. We need to find the value of Z* so that 95% of the observations in the population are between -z* and +z* on the Z scale.

In a normal distribution, the mean of the distribution is represented by μ and the standard deviation is represented by σ. The Z score is the number of standard deviations a particular observation is from the mean. The formula for calculating the Z score is as follows:z = (x - μ) / σ Now, we need to find the value of Z* that contains 95% of the area under the normal curve on both sides of the mean. This is called the critical value, which can be found using a Z-score table or a calculator.Using a Z-score table, we find that the Z-score for a 95% confidence interval is 1.96. This means that 95% of the observations in the population are between -1.96 and +1.96 on the Z scale. Therefore, the value of Z* is 1.96. Using a Z-score table, we find that the Z-score for a 95% confidence interval is 1.96. This means that 95% of the observations in the population are between -1.96 and +1.96 on the Z scale.

The Z-score is a useful tool for standardizing a normal distribution, allowing us to compare different distributions with different means and standard deviations on the same scale.

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A regular polygon with interior angles that measure 140 degrees has 9 sides. All interior angles are congruent, meaning they have the same degree measure.

To find the number of sides in a regular polygon with a given interior angle measure, we can use the formula:

n = 360 / (180 - x)

where n is the number of sides and x is the measure of each interior angle in degrees.

This formula is derived from the fact that the sum of the interior angles in a polygon with n sides is given by the formula (n-2) * 180. In a regular polygon, each interior angle measures (Sum of interior angles / n). If we substitute the formula for the sum of interior angles into the formula for the measure of each interior angle, we get:

x = (n-2) * 180 / n

Solving for n:

n = 360 / (180 - x)

So, when we plug in the given interior angle measure of 140 degrees, we get:

n = 360 / (180 - 140)

n = 360 / 40

n = 9

Therefore, a regular polygon with interior angles that measure 140 degrees has 9 sides.

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How many sides does a regular polygon have if each interior angle measures 140?

There are 8 cutting machines and each machine can cut 4 cases every 15 seconds, or 16 cases per minute (4 cases/15 seconds x 60 seconds/minute = 16 cases/minute). Therefore, all 8 machines can cut a total of 8 x 16 = 128 cases per minute.

If 25% of the machines are removed for maintenance, then 2 machines (25% of 8) will be taken out of service. This leaves 6 machines to continue cutting phone cases.

The 6 remaining machines can cut 6 x 16 = 96 cases per minute (since each machine still cuts 16 cases per minute). Therefore, the 6 remaining machines cut 128 - 96 = 32 fewer cases per minute than all 8 machines together.

So the answer is that the remaining machines cut 32 fewer cases per minute when compared to the number of cases per minute all 8 machines cut.

Yes, there is convincing statistical evidence of an association between grade in the preceding Biology II course and whether a student asks for clarification at the 5% level of significance, with a test statistic of 8.25 and a p-value less than 0.05.

To determine if there is convincing statistical evidence of an association between grade in the preceding Biology II course and whether a student asks for clarification, we need to conduct a hypothesis test using the chi-square test.

Null Hypothesis: There is no association between grade in the preceding Biology II course and whether a student asks for clarification.

Alternative Hypothesis: There is an association between grade in the preceding Biology II course and whether a student asks for clarification.

Since the test statistic for the chi-square test is given as 8.25, we need to find the corresponding p-value for this test statistic. The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true.

We can use a chi-square distribution table with 1 degree of freedom (since we have 2 categories - whether the student asks for clarification or not - and 3 levels of grade in the preceding Biology II course) to find the p-value. The p-value for a test statistic of 8.25 with 1 degree of freedom is less than 0.01.

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Answer:

\( (x + 2)^2 + (y + 3)^2 = 9\)

Step-by-step explanation:

Center = (-2, - 3) = (h, k)

Radius (r) = 3

Equation of circle in centre radius form is given as:

\( (x - h) ^2 + (y - k) ^2 = r^2 \\

\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\

\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} \)

Let's analyze each pair of groups to determine if they are isomorphic:

(a) Z2 × Z2 and Z4:

These groups are isomorphic because they both have the same number of elements, which is 4.

(b) Z12 and Z8:

These groups are not isomorphic because they have different numbers of elements. Z12 has φ(12) = 4 elements (where φ is the Euler's totient function), while Z8 has φ(8) = 4 elements.

(c) Z*5 and Z4:

These groups are isomorphic because they both have the same number of elements, which is 4.

(d) Z2 × Z and Z:

These groups are not isomorphic because they have different numbers of elements. Z2 × Z has an infinite number of elements, while Z has a countably infinite number of elements.

(e) Q and Z:

These groups are not isomorphic because they have different structures. Q, the group of rational numbers under addition, is a non-cyclic group with infinitely many elements, while Z, the group of integers under addition, is a cyclic group with a countably infinite number of elements.

(f) Z × Z and Z:

These groups are not isomorphic because they have different structures. Z × Z is a non-cyclic group with a countably infinite number of elements, while Z is a cyclic group with a countably infinite number of elements.

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Answer:

54

Step-by-step explanation:

-6*-9=54

Answer:

Step-by-step explanation:

y-8

Answer:

y - 8

Step-by-step explanation:

The solution to the algebraic expression 3 × 5 + (9²/(27 × ¹/₃)) - (-10) using order of operations is; 34

The order of operations is mathematical operations is as follows: PEMDAS which denotes parentheses, exponents, multiplication, division, addition, then subtraction.

We want to solve the algebraic expression;

3 × 5 + (9²/(27 × ¹/₃)) - (-10)

Let us first solve the numerator to get;

15 + (81/(27 × ¹/₃)) - (-10)

Let us now solve the denominator to get;

15 + (81/9) + 10

= 15 + 9 + 10

= 34

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The monthly deposit Mona's parents need to start making when she is 7 is 109.42 / month.

How to calculate the monthly deposit to save $7500 by the time she reaches 13?

Savings Goal Calculator can be used to calculate this question.

Present Value of $7500 to be achieved at the age of 13 = $5,311.57.

Formula:Future Value = (Present Value) x (1 + i)^n

Where,i = rate of interest = 5% per annum

n = time period = 6 years (13 - 7)

Future Value = $7500 (as per question)

Present Value = ? = (Future Value) / (1 + i)^n= 7500 / (1 + 0.05)^6= 7500 / 1.3401

Present Value = $5,311.57

Let,Monthly Deposit = x

n = time period in months = 6 years (13 - 7) x 12 = 72

Formula:Monthly Deposit = (Future Value - Present Value) x i / [ (1 + i)^n - 1 ]

Monthly Deposit = (7500 - 5311.57) x 0.05 / [ (1 + 0.05)^72 - 1 ]

Monthly Deposit = 2188.43 x 0.05 / 7.759

Monthly Deposit = 109.42 / month

Therefore, the monthly deposit Mona's parents need to start making when she is 7 to have $7500 by the time she reaches the age of 13 is 109.42 / month.

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Answer:

The answer is x intercept -7 and y intercept 9

Step-by-step explanation:

You have 9x-7y=-63

First solve for x and y; by doing so, the solving for x part means y is 0 and the solving for y means x is 0

Solve for X

9x=-63 step one divide 9 both sides

x=-7

Solve for Y

-7y=-63 step one divide -7 both sides

y=9

Answer:

$144

Step-by-step explanation:

1728/12=144

Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.

Taking the derivative of the numerator:

d/dθ [1 - sin(θ)] = -cos(θ)

Taking the derivative of the denominator:

d/dθ [1 + cos(6θ)] = -6 sin(6θ)

Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:

lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))

When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:

= 0 / (-6)

= 0

Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.

Answer:

2/1 or 2

Step-by-step explanation:

to find the slope you have to calculate the rise over run, do this by picking two spots on the line that go thourgh the corner of a square. then count the amount up the is your rise then the lateral movement, the is your run.

this means the answer is 2/1 that can be simplified to 2.

Answer:

1:3. That's the answer to this question.

The sum of the squares of the first n odd integers is (n + 1)(2n + 1)(2n + 3)/3 for any nonnegative integer n.

To prove this, we will use mathematical induction. For the base case, let n = 0. Then, the sum of the squares of the first odd integer is 1² = 1, and (0 + 1)(2(0) + 1)(2(0) + 3)/3 = 1/3. Therefore, the statement is true for the base case.

Now, assume that the statement is true for some arbitrary integer k. That is,

1² + 3² + 5² + ... + (2k + 1)² = (k + 1)(2k + 1)(2k + 3)/3.

We will now prove that the statement is also true for k + 1.

Starting from the left-hand side of the equation, we can write:

1² + 3² + 5² + ... + (2k + 1)² + (2(k+1) + 1)²

= (k + 1)(2k + 1)(2k + 3)/3 + (2(k+1) + 1)²

= (k + 1)(2k + 1)(2k + 3)/3 + 4k² + 12k + 9

= (k + 1)(2k + 1)(2k + 3)/3 + 3(2k + 1)²

= (k + 1)(2k + 1)(2k + 3 + 3(2k + 1))/3

= (k + 1)(2(k + 1) + 1)(2(k + 1) + 3)/3.

Thus, the statement is true for k + 1, and by mathematical induction, the statement is true for all nonnegative integers n.

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