Use the diagram to complete each statement. Twelve lines are drawn to form a cube as shown. Plane AFH is parallel to plane ?

If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the Poisson probability distribution.

How do you find the probability of success for each trial?

What is the probability formula?

Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) E is the event, P is the probability, and S is the sample area.

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Answer:

ff

Step-by-step explanation:

when the account reaches 600, well, it had a Principal of $500, so to get there it'd need $100 more, so by the time the earned interest is 100, when is it?

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 100\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years \end{cases} \\\\\\ 100 = (500)(0.05)(t) \implies \cfrac{100}{(500)(0.05)}=t\implies 4=t\)

Step-by-step explanation:

Answer attached.

Hope it helps :)

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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The correct answer is (c) between 0 and infinity. This can be answered by the concept from F statistic.

The F statistic, which is used in ANOVA (Analysis of Variance), is calculated as the ratio of the variance between groups to the variance within groups. Since variance is always a positive value (it measures the spread or dispersion of data), the F statistic will always be greater than or equal to 0.

Furthermore, the F statistic follows an F-distribution, which is a continuous probability distribution that ranges from 0 to infinity. The F-distribution has a skewed shape, with most of the values clustered towards 0 and decreasing as the values get larger. This means that the F statistic can take on values anywhere between 0 and infinity, but it cannot be negative.

Therefore, when conducting an ANOVA, FDATA will always fall within the range of 0 to infinity.

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⊂ Hey, ausemkattom2559 ⊃

Answer:

x = 1

Step-by-step explanation:

Solve each equation.

Check your solutions.

x /2 = x + 1/4

From the given: \(\frac{x}{2}=\frac{x+1}{4}\)

Applying fraction cross multiply: \(\mathrm{if\;\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c}\)

\(x\cdot \:4=2\left(x+1\right)\)

Distribute:

\(x\cdot \:4=2x+2\)

Subtract 2x from both sides:

\(x\cdot \:4-2x=2x+2-2x\)

\(2x=2\)

Divide both sides by 2:

\(\frac{2x}{2}=\frac{2}{2}\)

x = 1

As a result, x = 1

We can substitute to check our solution:

1/2 = 1 + 1/4

1/2 = 1/2

Hence, x = 1

xcookiex12

9/12/2022

The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.

This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).

Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.

Hope I helped you...

Answer:22

I think

Step-by-step explanation:

56-34=22

I tried. If correct please give brainliest

Answer:

9 minutes

Step-by-step explanation:

The amount of time t that it takes to put out a fire varies inversely with the volume of water used, G

t = k/G

Where,

k = constant

When G is 3, t is 15

t = k/G

15 = k/3

Cross product

15 * 3 = k

k = 45

Find t when G = 5

t = k/G

t = 45/5

t = 9 minutes

Researchers in a certain country investigated how having daughters influences voting o women's issues by members of the federal government: The 95% confidence interval for β1 is (0.046, 0.874).

To find the 95% confidence interval for β1, we use the formula:

β1 ± t * sβ1,

where β1 is the estimated coefficient, sβ1 is the standard error of β1, and t is the critical value from the t-distribution with degrees of freedom equal to the sample size minus the number of predictors.

In this case, the reported values are:

β^1 = 0.46 (estimated coefficient)

sβ1 = 0.43 (standard error of β1)

The sample size (n) is not given, so we cannot calculate the exact value of t. However, we can assume that the sample size is large enough to use the normal distribution approximation, which corresponds to a z-value for the 95% confidence level.

Using the z-value for a 95% confidence level (which is approximately 1.96), the confidence interval can be calculated as:

0.46 ± 1.96 * 0.43 = (0.046, 0.874).

Therefore, we can say with 95% confidence that the true value of β1 lies within the interval (0.046, 0.874).

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Answer:  A

Step-by-step explanation:

Answer:

75cm

Step-by-step explanation:

(5*3)+(5*5)+(7*5)

To find the equation of the tangent plane to the surface z = ln(x^2 - 3y) at the point (2, 1, 0), we need to determine the gradient vector and use it to construct the equation of the plane.

The equation of a tangent plane to a surface is given by:

z - z₀ = ∇f(x₀, y₀) · (x - x₀, y - y₀)

where z is the height of the plane, z₀ is the height at the given point (x₀, y₀), ∇f(x₀, y₀) is the gradient vector of the surface at that point, and (x - x₀, y - y₀) is the vector connecting the given point to any other point (x, y) on the plane.

First, we find the gradient vector of the surface z = ln(x^2 - 3y) by taking the partial derivatives with respect to x and y:

∂f/∂x = 2x/(x^2 - 3y)

∂f/∂y = -3/(x^2 - 3y)

Evaluating these partial derivatives at the point (2, 1, 0), we have:

∂f/∂x = 2/(2^2 - 3(1)) = 2/(-1) = -2

∂f/∂y = -3/(2^2 - 3(1)) = -3/(-1) = 3

Thus, the gradient vector at (2, 1, 0) is ∇f(2, 1) = (-2, 3).

Now, we can substitute the values into the equation of the tangent plane:

z - 0 = (-2, 3) · (x - 2, y - 1)

Expanding and simplifying, we get:

z = 3x - 2y - 5

Therefore, the equation of the tangent plane to the surface z = ln(x^2 - 3y) at the point (2, 1, 0) is z = 3x - 2y - 5.

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Answer:

Step-by-step explanation:

Given vertices of triangle:

The centroid is found as the average of x- and y- coordinates of three vertices:

Substitute the coordinates into formula:

Correct choice is B

Answer:

B. (3, 2)

Step-by-step explanation:

Because it is the "Correct Answer"

We can write the proportionality equation as:$$\frac{PQ}{OM}=\frac{PN}{OQ}$$We can rewrite the above equation as:$$OQ=\frac{PN \cdot OM}{PQ}$$We can use any of the above equations to find the length of OQ.

Given: PQ|| NMWe have to find the equation that can be used to find the length of OQ. Let us understand the problem in detail.

The given figure is as follows:We need to find the equation for the length of OQ. We can use the following equation:

$$\frac{OQ}{OM}=\frac{PQ}{PM}$$

We can also use the following equation:

$$\frac{OQ}{ON}=\frac{PQ}{PN}$$

The above equation can be rewritten as:

$$OQ=\frac{PQ \cdot ON}{PN}$$

We can also use the proportionality of the two triangles to find the equation that can be used to find the length of OQ. In the figure above, we have two triangles, i.e. ∆PNQ and ∆OMQ.

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Answer:

10.5% (Rounds to 11% if question asked)

Step-by-step explanation:

When finding percentage increase, I usually construct a proportion, as follows

1.52. 100%

------. =. ---------

1.68. x

1.52 across from 100 because that was his actual height %

1.68 across from x because we want that new %

We start by cross multipling

1.52x = (1.68)(100)

1.52x = 168

Next we divide by 1.52 on both sides of the equal sign to get x alone

x = 110.5%

Now he's at 110.5%

We simply subtract the percent

110.5-100 = 10.5

10.5% (Rounds to 11% if question asked)

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

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Answer:

Below

Step-by-step explanation:

The area of a circle is given by A=πr². Since we know the radius, we can sub r with 11.

This gives A=11²π, which by solving the square gives A=121π.

From there, you would solve with a calculator by typing 121×π, giving a final area of 380.132711084.

**This content involves using the circle area formula, which you may wish to revise. I'm always happy to help!

10 packages are available, some of which contain only 3 and others 4 rookie cards. There are a maximum of 38 rookie cards in all.

In math, a linear equation one of that of the form y=mx+b. The slope is B, and the una is m. As y and x are variable, the previous statement is frequently referred to as a "system of equations with 2 variables." Bivariate linear equations are logistic equations with two or more variables. Formulas can be found in various locations, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When such an equation has had the structure y=mx+b, where m represents the slope and b its y-intercept, it is known to as being linear. A model formula is said to be cubic if its solution seems to have the form y=mx+b, wherein m stands for the gradient and b for the y-intercept.

3x + 4y = 38

x + y = 12 ( Multiply by -3)

Hence

3x + 4y = 38

-3x - 3y = -36

Add

y = 2

In the case where y = 2

x = 12 - y

x = 12 - 2

x = 10,

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For a sample of 64 low-income children, the estimate of the true mean complexity score is 7.64

Parameter refers to the mathematical quantity calculated using population while statistics refers to the mathematical quantity calculated using sample.

Given, the sample mean of 64 children is 7.64 and the estimated population parameter value is equal to its statistics. So, here the estimated value of the mean sentence complexity score is equal to its sample mean value which is 7.64

So, an estimate of the true mean is sample mean=\(\bar x\)=7.64

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The complete question is given below:

Each child in a sample of 64 low-income children was administered a language and communication exam. The sentence complexity scores had a mean of 7.64 and a standard deviation of 8.94. Complete parts a through d. a. From the sample, estimate the true mean sentence complexity score of all low-income children.

Answer:

196.47%

Step-by-step explanation:

1 is 100

So the rest just add in

Therefore , the solution of the given problem of volume comes out to be false we must first know the cylinder's radius and height.

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. The symbols cm3 and in3 stand for cubic dimensions. However, you can use an object's bulk to estimate its dimensions. Usually, the weight of the item is converted into mass measures like kilograms and kilos.

Here,

The capacity of a cylinder and a cone that are the same height and radius are not the same.

The formula V = πr²h,

where r is the radius of the base and h is the height, determines the volume of a cylindrical. Contrarily, the equation

=> V = (1/3)r²h gives the volume of a cone.

To calculate the volume of a cone with the same measurements if the cylinder's volume is 99 cubic cm,

False we must first know the cylinder's radius and height.

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Answer:

B

Step-by-step explanation:

A is wrong lol, trust me.

Answer:

B. \( 6 \frac{9}{16} \) (second option)

Step-by-step explanation:

\(8 - 1 \frac{7}{16} \\ \\ \frac{1 \times 16 + 7}{16} = \frac{16 + 7}{16} = \frac{23}{16} \\ 8 - \frac{23}{16} = \frac{128 - 23}{16} = \frac{105}{16} \)

\( \boxed{Answer:{\boxed{\green{= 6 \frac{9}{16}}}}} \)

hope that helped

Answer: The total cost of the item, not including the tax is $151.67. The total cost including tax is $162.38. The customer  midpoint will get a 5% discount if the bill is paid within 3 days.

The discount will be $7.62. We are supposed to calculate the discount to the nearest cent.First, we need to find the total cost of the items. Using the information in the table provided, we can sum the cost of all the items. The cost of all items is:30 inches = 30 ft = $1.25/ft = 30 * 1.25 = $37.5color colon = 2 * 0.84 = $1.68inch hose = 5 inch hose clamps = 8 * $5.65 = $45.20inch hose clamps = 24 inches = 24 * $1.35 = $32.40

Total cost of the items = $151.67Now we need to calculate the sales tax. 7% sales tax on the parts only. This means we need to add the tax to the cost of all the parts.

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Answer:

y=x−3

Step-by-step explanation:

x−y=3

Step 1: Add -x to both sides.

x−y+−x=3+−x

−y=−x+3

Step 2: Divide both sides by -1.

−y/−1=−x+3/1

y=x−3

The expression that shows the number 8 in one's place will be 72.35 + 45.81 and 9.56 + 9.41. Then the correct options are B and C.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The expression that shows the number 8 in one's place.

Let's check all the options, then we have

A) 34.56 + 24.89 = 59.45

In the number 59.45, the one's place is 9. So, it is incorrect.

B) 72.35 + 45.81 = 118.16

In the number 118.16, the one's place is 8. So, it is correct.

C) 9.56 + 9.41 = 18.97

In the number 18.97, the one's place is 8. So, it is correct.

D) 12.34 + 15.42 = 27.76

In the number 27.76, the one's place is 7. So, it is incorrect.

The expression that shows the number 8 in one's place will be 72.35 + 45.81 and 9.56 + 9.41. Then the correct options are B and C.

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2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.