please help meeeeeeee​

Answer:

see attached image

Step-by-step explanation:

Answer:

the answer is 16

0.778

The probability of drawing a black ball from the second urn after the given process is approximately 0.56

(a) Based on the information given, we can compute the probabilities as follows:

P(A) = Number of students playing soccer / Total number of students

= 50 / 170

≈ 0.294

P(B) = Number of students playing basketball / Total number of students

= 45 / 170

≈ 0.265

P(AB) = Number of students playing both soccer and basketball / Total number of students

= 35 / 170

≈ 0.206

P(A/B) = P(AB) / P(B)

= (35 / 170) / (45 / 170)

= 35 / 45

≈ 0.778

(b) To determine whether events A and B are independent, we need to compare the joint probability P(AB) with the product of the individual probabilities P(A) * P(B).

If events A and B are independent, then P(AB) = P(A) * P(B).

However, in this case, P(AB) ≈ 0.206, while P(A) * P(B) ≈ (0.294) * (0.265) ≈ 0.077.

Since P(AB) ≠ P(A) * P(B), we can conclude that events A and B are not independent.

To determine the probability that the drawn ball is black after the given process, we can consider the different scenarios:

Scenario 1: Both white balls are drawn from the first urn.

In this case, the second urn will have 6 black balls and 4 white balls.

The probability of drawing a black ball from the second urn is 6 / 10 = 0.6.

Scenario 2: One white ball and one black ball are drawn from the first urn.

In this case, the second urn will have 5 black balls and 5 white balls.

The probability of drawing a black ball from the second urn is 5 / 10 = 0.5.

Scenario 3: Both black balls are drawn from the first urn.

In this case, the second urn will have 7 black balls and 3 white balls.

The probability of drawing a black ball from the second urn is 7 / 10 = 0.7.

To determine the overall probability, we need to consider the probabilities of each scenario weighted by their respective probabilities of occurrence.

P(black ball) = P(Scenario 1) * P(black ball in Scenario 1) + P(Scenario 2) * P(black ball in Scenario 2) + P(Scenario 3) * P(black ball in Scenario 3)

= (1/15) * 0.6 + (8/15) * 0.5 + (6/15) * 0.7

≈ 0.56

Therefore, the probability of drawing a black ball from the second urn after the given process is approximately 0.56.

Learn more about: probability

https://brainly.com/question/30034780

#SPJ11

Answer:

The answer would be: -145.125

Step-by-step explanation:

:)

Answer:

there are different answers for this

-1161/8

-145.125

-145 1/8

Step-by-step explanation:

why-

Answer:

  6 inches by 4 inches

Step-by-step explanation:

You want the dimensions of the scaled copy of a 12 in by 8 in rectangle copied with a scale factor of 1/2.

The size of a scaled drawing is the real-world (actual) size, multiplied by the scale factor of the drawing.

A drawing that has a scale factor of 1/2 will have dimensions that are 1/2 those of the original object.

  drawing size = (1/2) · (actual size)

  drawing length = (1/2) · (actual length) = 1/2 · 12 in = 6 in

  drawing width = (1/2) · (actual width) = 1/2 · 8 in = 4 in

The scale copy is 6 inches long and 4 inches wide.

The line perpendicular to the tangent plane at (1, 1, 1) has the parametric equation above, with direction vector (2, 2, 2).

To find the tangent plane to the given surface x^2y^2z^2 = 3 at the point (1, 1, 1), we first need to find the gradient vector (partial derivatives with respect to x, y, and z) of the function F(x, y, z) = x^2y^2z^2 - 3.

∂F/∂x = 2x*y^2*z^2
∂F/∂y = 2x^2*y*z^2
∂F/∂z = 2x^2*y^2*z

Now, evaluate the gradient vector at the point (1, 1, 1):

∇F(1, 1, 1) = (2, 2, 2)

The tangent plane at (1, 1, 1) can be given by the equation:

2(x - 1) + 2(y - 1) + 2(z - 1) = 0

Simplify the equation:

2x + 2y + 2z = 6

The equation of the tangent plane at (1, 1, 1) is:

x + y + z = 3

Now, to find a line perpendicular to the tangent plane at (1, 1, 1), we can use the gradient vector as the direction vector, which is (2, 2, 2). The parametric equation of the line is:

x = 1 + 2t
y = 1 + 2t
z = 1 + 2t

So, the line perpendicular to the tangent plane at (1, 1, 1) has the parametric equation above, with direction vector (2, 2, 2).

Learn more about tangent plane here:

brainly.com/question/18370967

#SPJ11

The likely lurking variable that is causing an increase in both the number of cars owned per household and the average number of citizens with health insurance is C) Average annual salary per household.

The relationship between average annual salary per household and the number of cars owned per household is positive. As the average annual salary of a household increases, the household is more likely to have the financial means to purchase one or more cars. Additionally, people in higher income neighborhoods may be more likely to have multiple cars, such as a family car and a work car.

The relationship between average annual salary per household and the average number of citizens with health insurance is positive. As the average annual salary of a household increases, the household is more likely to have the financial means to afford health insurance, either through their employer or through the individual market. Additionally, people with higher incomes may be more likely to prioritize their health and invest in health insurance to ensure they have access to healthcare when they need it.

To know more about Average annual salary Visit:

brainly.in/question/9045410

#SPJ4

Complete question is :

Brad recalls that correlation does not imply causation. In this example, Brad sees that increasing the number of cars per household would not cause members of his community to purchase health insurance.

Identify the lurking variable that is causing an increase in both the number of cars owned and the average number of citizens with health insurance?

A) The number of different car brands

B) The number of citizens in the United States who do not have health insurance

C) Average annual salary per household

D) Average health insurance costs in the United States

Answer:

Step-by-step explanation:

BC=AD

3x-1=x+5

3x-x=5+1

2x=6

x=3

BC=3×3-1=8

CD=2x=2×3=6

perimeter=2(8+6)=2(14)=28

The inequalities that model the situation are presented as follows;

Inequalities are comparisons between two nonequal variables and or number expressions.

The time Suzy has to complete the history exam = 45 minutes

The number of open-ended exams = 2

The number of multiple choice questions = 30

The time it takes her to complete an open-ended question = 15 minutes

The time it takes to complete a multiple choice question = 1 minute

Let x represent the number of open-ended questions and let y represent the number of multiple choice questions Suzy completes, we have;

15·x + y ≤ 45

x + y ≤ 30 + 2 = 32

The inequalities that model the situation are therefore:

The graph of the above inequalities can be found by making y the subject of the inequalities as follows;

15·x + y ≤ 45, therefore, y ≤ 45 - 15·x

x + y ≤ 32, therefore, y ≤ 32 - x

The point of intersection is given by the equation, 45 - 15·x = 32 - x

45 - 15·x = 32 - x

45 - 32 = 15·x - x = 14·x

x = 13/14

y = 32 - 13/14

Please find attached the graph of the inequalities created with MS Excel

Learn more about inequalities here:

https://brainly.com/question/17136458

#SPJ1

Mean absolute percentage error is used in situations where you need to compare forecasting methods for different time periods.

The most used metric for gauging forecast accuracy is mean absolute percent error. It belongs to the category of scale-independent percentage errors, which may be used to compare series on various scales.

MAPE = mean (| eᵢ |/yᵢ )*100

where eᵢ is the error term and yᵢ is the actual data at the time i.

The drawback of MAPE is that it loses definition if the actual figure for any observation in the data has a value of 0.

To know more about Mean absolute percentage error visit: brainly.com/question/14897415

#SPJ4

The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

The standard deviation of the distribution is 8.60

From the question, we have the following parameters that can be used in our computation:

Sample size = 40

Standard error of the mean = 1.36

These parameters mean that

n = 40

SE = 1.36

The standard deviation is then calculated as

SE = σ/√n

Where

σ = standard deviation

Make σ the subject

σ = SE * √n

So, we have

σ = 1.36 * √40

Evaluate

σ = 8.60

Hence, the standard deviation is 8.60

Read more about standard error at

https://brainly.com/question/17190989

#SPJ1

Answer: (t-r) / 21 = -0.857    where,   t= -6 and r= 12

Step-by-step explanation:

Given data,

t-r divided by 21

where, t= -6 and r= 12

So, we can write,

                            = (t-r) / 21

Let us assume,

                  (t-r) / 21 = x

So,

           x = (t-r) / 21 { t = -6 and r = 12             (eq-1)

         x = (t-r) / 21

We can substitute,    t = -6 and r = 12   values in this equation 1

so, we can write,

                            x =   (t-r) / 21

                            x = (-6-12) / 21

                            x = -18/21

                            x = -6/7

                            x = -0.857

Therefore,

                       (t-r) / 21 = -0.857    where,   t= -6 and r= 12

Learn more about event correlation here: brainly.com/question/13840421

#SPJ9

The measure of arc BEC is 134°. The correct option is the first option 134°

From the question, we are to determine the measure of arc BEC

In the given diagram,

Measure of angle C = 1/2 (measure of arc AB)

Reason: The measure of an inscribed angle is half the measure of the intercepted arc

∴ Measure of angle C = 1/2 (76°)

Measure of angle C = 38°

m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)

m∠A + 75° + 38° = 180°

m∠A + 113° = 180°

m∠A = 180° - 113°

m∠A = 67°

Measure of arc BEC = 2 × m∠A (Angle at the center is twice the angle at the circumference)

Measure of arc BEC = 2 × 67°

Measure of arc BEC = 134°

Hence, the measure of arc BEC is 134°. The correct option is the first option 134°

Learn more on Circle Geometry here: https://brainly.com/question/17074363

#SPJ1

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$11250\\ r=rate\to 3.45\%\to \frac{3.45}{100}\dotfill &0.0345\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}\)

\(A=11250\left(1+\frac{0.0345}{1}\right)^{1\cdot 5} \implies A \approx 13329.23 ~\hfill \underset{interest~paid}{\stackrel{13329.23~~ - ~~11250}{\approx\text{\LARGE 2079.23}}}\)

n = the numerator of the fraction

\(\cfrac{p}{p-2}~~ = ~~\cfrac{n}{4-p^2}\implies \cfrac{p(4-p^2)}{p-2}~~ = ~~n\implies \cfrac{p(-1)(p^2-4)}{p-2}=n \\\\\\ \stackrel{ \textit{difference of squares} }{\cfrac{p(-1)(p^2-2^2)}{p-2}}=n\implies \cfrac{-p(p-2)(p+2)}{p-2}=n \\\\\\ \boxed{-p(p+2)=n}\hspace{5em}\cfrac{-p(p+2)}{4-p^2}\)

Answer:

41,500 people

Step-by-step explanation:

First you find 3% of 36,000= 1,080

Then you do 1080 x 5= 4,500

Then finally do 36,000 + 4,500= 41,500

Answer:

It did not attach correctly try again and ill answer

Step-by-step explanation:

Post the attach picture or whatever goes with it

Answer:

45 because it is what I think

The lateral surface area of the cone is:

A = 84.3 in²

We know that for a cone of height H and a radius R, the lateral surface area is given by the formula:

A = pi*R*( √(H² + R²))

Where pi = 3.14

Here the height is 12 inches, and the diameter is 4.4 inches, then the radius is:

R = 4.4i/2 = 2.2 in

Then the lateral surface area is:

A = 3.14*2.2in*( √((12in)² + (2.2in)²))

A = 84.3 in²

Learn more about cones by reading:

https://brainly.com/question/6613758

#SPJ1

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.

Know more about 99% confident here:

https://brainly.com/question/30762304

#SPJ11

Answer:

2(x - 8) = 2x - 16

2(-8) + x + x = -16 + 2x or 2x - 16

2(3x + 2) = 6x + 4

6x - 2(2x + 8) = 2x + 8

-2(-3x - 2) = 6x + 4

-2(-x + 8) = 2x + 16

-14 + 3 + 2(9) + 3x = 7 + 3x

2x + 2(2x + 2) = 6x + 2

Step-by-step explanation:

I hope this helps!

Answer:

#1 = 2x-16

#2=2(-8+x)

#3 i don't know

#4= 2(x-8)

#5=6x+4

#6=2x-16

#7=7+3x

#8=2(3x+2)

please lemme know if its correct

The correct answer is "Secured Loan." Hope this helps! <3

Answer:

No

Step-by-step explanation:

Hope this helps :)

Answer:

The answer is -8x+-20

Step-by-step explanation:

You never combine a like term unless its distributed, the steps in this case are -2 *4x, giving you -8. Then -2*10, giving you -20.

Answer:

i got 15.1

Step-by-step explanation:

Answer:

8 11/100

Step-by-step explanation:

8.11 is the same thing as 8 whole numbers and since the .11 is in the hundreths place, it becomes 11/100.

Answer:

Step-by-step explanation:

C