According to Crown ATM Network, the mean ATM withdrawal is $67. Assume thatthe standard deviation for withdrawals is $35. What cutoff sample mean ATMwithdrawal would be required to put a sample of size 50 in the top 5% of samplemeans? Round to the nearest cent.

The solution to the equation 3x = 8 - 2x is x = 1.6.

To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:

Express the equation in the form of y = f(x). Rearrange the equation:

3x + 2x = 8

5x = 8

x = 8/5 or 1.6

Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.

Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.

The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).

Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.

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Step-by-step explanation:

2.5 km = 250000 cm

250000 cm /20000 = 12.5 cm on the map

12.5 cm ^2  x 20 0000 x 20 000   = 5 000 000 000 cm^2 = 500 000 m^2  

The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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Between 2010 and 2013 the rate of change is:

[210 - 120] / [2013 - 2010] = 90/3 = 30 (Well done!)

Between 2013 and 2019 the rate of change is:

[120 - 210] / [2019 - 2013] = - 90/ 6 = -15 (WEll done! again!)

Between 2010 and 2019 the rate of change is:

[120 - 120] / [2019 - 2010] = 0/9 = 0 (Perfect again!)

Well done!

I am glad you got the concept perfect!

Your answers are right on the spot!

Answer:

16.178m

Step-by-step explanation:

Central angle (θ)

128deg

Radius (r)

9m

Diameter

18m

Sector area (A)

90.4779m²

Chord length (c)

16.178m

Answer:

Domain is all real numbers

Range is (3, ∞) or y > 3

Step-by-step explanation:

Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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Answer:

4 2/6 = 3 8/6

Step-by-step explanation:

Convert the given mixed fractions to improper fractions.

( 4 × 6 ) + 2 ) / 6 = 26/6

( 3 × 6 ) + 8 ) / 6 = 26/6

Therefore, these are equivalent.

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

7/8 (0.875)

adjacent/hypotenuse

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

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Answer:

3060 cm^2

Step-by-step explanation:

First, let's find the areas of the trapezoids.

Next, let's find the area of the bases (the top rectangle and bottom rectangle).

After that, we find the surface area of the side rectangles.

Lastly, we add 1260, 1200, and 300 together.

Therefore, the surface area should be 3060 cm^2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

3060 cm^2

Step-by-step explanation:

3060 cm^2
3060 cm^2

Answer: 16%

Step-by-step explanation:

The coordinates of the intersection of the diagonals of abcd with the given vertices are (0,2).

The equation of diagonal AC is the equation of the line joining

(−4,6) and (4,−2)

Using the two point formula of a line, we have

           (y−6) / (x+4) = 6−(−2) / (−4−4)

                       x + y = 2

The equation of diagonal BD is the equation of the line joining

(5,6) and (−5,−2)

Using the two point formula of a line, we have

           (y−6) / (x−5) = 6−(−2) /  5−(−5)

                           5y = 4x+10

Multiply equation x + y = 10 by 5 to get 5x+5y=10

Replace 5y=4x+46 using 5x+5y=10

        5x + (4x+10) = 10

        5x + 4x +1 0 = 10

           9x + 10 = 10

               9x=0

                 x=0

Substitute x=0 in eqn(1), To get 0+y=2

                                                         y=2

The point of intersection of the diagonals of the given quadrilateral is (0,2)

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From the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

Hellen Keller was one of the educators in America. Her influence was of importance because she was both blind and deaf. Thus, her memoir chronicles the details of the challenges that one faces when trying to educate a physically challenged child.

As such, we can see from the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

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From the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

Who is Helen Keller?

Hellen Keller was one of the educators in America. Her influence was of importance because she was both blind and deaf. Thus, her memoir chronicles the details of the challenges that one faces when trying to educate a physically challenged child.

As such, we can see from the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

Answer:

A

Step-by-step explanation:

hhjjjjkkkdaa vhjkkjddgj hjkjcgh

Answer:

274 squared cm.

Step-by-step explanation:

in case you don't understand feel free to ask.

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

Answer:

378 M -small 3 that goes on on top right side of the M.

Step-by-step explanation:

you multiply the 6m x 7m x 9m = 378 m to the 3rd power

Answer

188

Step-by-step explanation:

The calculated measure of the angle D is (c) 32 degrees

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

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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Answer:

0.28

Step-by-step explanation:

High-quality soil gives seed: 0.8 chance of survival

Medium-quality soil gives seed : 0.3 chance of survival

Low-quality soil gives seed: 0.1 chance of survival

Proportions/frequency of soils:

High-quality soil = 30% = 0.3

Medium-quality soil = 20% = 0.2

Low-quality soil = 50% = 0.5

probability of a seed landing on a particular soil type ∝ frequency of that type in the  habitat

probability that a seed dies before landing = 0.2

A) The overall probability of seed survival

first we have to determine the probability of seed survival if it lands

= ∑ (frequency of soil * chance of seed survival)

= (0.8 * 0.3) + ( 0.3 * 0.2 ) + ( 0.1 * 0.5 ) = 0.35

hence overall probability of seed survival

= ( 1 - 0.2 ) * 0.35 = 0.28

The expression we have is:

Step 1. In this step, we have to factor the left-hand side of the equation.

The first thing we will do is to simplify the expression by dividing everything by x^2:

To divide the expression we use the following law of exponents:

And we get the simplified expression:

This equation is equivalent to the one given by the problem.

The second step is to represent 64 and 25 as 8 to the power of 2 and 5 to the power of 2:

Substituting this in our expression:

Which can also be written as follows:

Here we can use the formula for a difference of squares:

In this case a=8x and b=5, so we get the factored expression:

This is the solution for step 1.

Step 2. In this second step, we have to solve the factored equation we got in step 1.

First, we use the zero product property, which tells us that if a product of two expressions is equal to 0, at least one of them or the two are equal to 0. So we equal to 0 the two parts of parentheses of the factored expression:

And we solve both equations to find the two solutions for the value of x.

Solving the first equation we get the first x-value:

Solving the second equation we get the second x-value:

Thus, we get the two values for x:

This amount of money which is received by Ginger weekly represents Ginger's net pay.

Net pay is defined as the amount of money an individual such as Ginger receive at the end of a week or a month after other payroll deductions such as insurance and tax has been removed.

The amount of money received by Ginger at the end of a week as a worker = $560

Therefore at the end of a year his total net pay would be = 560×12

= $6,720

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Answer:

0.05155 or 5.155%

Step-by-step explanation:

We are given;

Weight of passenger cars the ferry can accommodate = 79 tons of passenger cars

Number of cars loaded = 39

Thus;

population mean weight; μ = 1.9

Since it can accommodate 79 tons of passenger cars, then their average weight should not exceed;

79/39 = 2.03 thus;

Sample mean; x¯ = 2.03

Standard deviation; σ = 0.5

Sample size; n = 39

Let's find the z-score value;

z = (x¯ - μ)/(σ/√n)

Thus;

z = (2.03 - 1.9)/(0.5/√39)

z = 0.13/0.08

z ≈ 1.63

Thus; P(z > 1.63) = 1 - P(z < 1.63)

From the z-score table attached, the p-value which is the probability is P(z < 1.63)

Thus;

P = 1 - 0.94845

P = 0.05155 or 5.155%

Answer:

What is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°

Step-by-step explanation:

What is the smallest angle of rotational symmetry for the regular octagon?

What is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°vWhat is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°What is the smallest angle of rotational symmetry for the regular octagon?

°

°

Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

\(p=X/n=640/800=0.8\)

The standard error of the proportion is:

\(\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014\)

The critical z-value for a 96% confidence interval is z=2.054.

The margin of error (MOE) can be calculated as:

\(MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=p-z \cdot \sigma_p = 0.8-0.03=0.77\\\\UL=p+z \cdot \sigma_p = 0.8+0.03=0.83\)

The 96% confidence interval for the population proportion is (0.77, 0.83).