For the given hypothesis test, determine the probability of a Type II error or the power, as specified. A hypothesis test is to be performed to determine whether the mean waiting time during peak hours for customers in a grocery store has increased from the previous mean waiting time of 8.3 minutes. Preliminary data analyses indicate that it is reasonable to apply a -test. The hypotheses are H 0: μ = 8.3 H1: >8.3 The population standard deviation is 3.8 minutes. The sample size is 50. The significance level is 0.05. Find the probability of a Type II error if in fact the mean waiting timeu, is 9.8 minutes. A. 0.125 B. 0.05 C. 0.875 D. 0.95

Answer:

  9) D: (-4, 4]; R: [-6, -4]

  10) D: [-5, -5]; R: (-7, ∞)

Step-by-step explanation:

You want the domain and range of the relations shown on the given graphs.

The domain of a relation is the set of x-values for which it is defined. An open circle indicates that point is not included in either the domain or range.

The range of a relation is the set of y-values that the relation produces. An open circle indicates the y-value at that point is not in the range.

The graph has an open circle at x = -4 on the left, and a solid dot at x = 4 on the right. All of the x-values between these have corresponding y-values.

The domain is (-4, 4].

The bottom (minimum) of the curve lies on the line y = -6, so that is the lowest value in the range. The relation produces all y-values between -6 and -4. The solid dot at (4, -4) means -4 is included in the range.

The range is [-6, -4].

The vertical line at x=-5 means -5 is the only value in the domain.

The domain is [-5, -5].

The vertical line extends upward from an open circle at y = -7. The open circle means -7 is not part of the range.

The range is (-7, ∞).

Answer:

9)  Domain:  (-4, 4]

    Range:  [-6, -4]

10)  Domain:  [-5]

    Range:  (-7, ∞)

Step-by-step explanation:

Definitions

An open circle indicates the value is not included in the interval.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the minimum x-value is x = -4 and the maximum x-value is x = 4.

There is an open circle at endpoint (-4, -4).  Therefore, x = -4 is not included in the domain.

There is an closed circle at endpoint (4, -4).  Therefore, x = 4 is included in the domain.

Therefore, the domain of the relation is restricted:  (-4, 4]

From inspection of the graph, the minimum y-value is y = -6 and the maximum y-value is y = -4.

This maximum value is included in the range since there is a closed circle at (4, -4).

Therefore, the range of the relation is restricted:  [-6, -4]

From inspection of the graph, the line is a vertical line at x = -5.

Therefore, the domain of the relation is restricted to x = -5:  [-5]

From inspection of the graph, the minimum y-value is x = -7.  

This minimum value is not included in the range since there is an open circle at (-5, -7).

There is an arrow on the other endpoint of the line, indicating that the line continues indefinitely in that direction.

Therefore, the range of the relation is restricted:  (-7, ∞)

Answer:

Volume = 144 in.³

Step-by-step explanation:

Given:

Length = 9 in.

Width = 4 in.

Height = 4 in.

Required:

Volume

Solution:

Volume of a box = length * height * width

Volume = 9*4*4

= 144 in.³

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Answer:

Sum of Squares=50.5

Treatment Sum of Squares, 4.5

Error Mean Squares, 0.3

Treatment Mean Squares 0.9

Error Sum of Square = 3

Step-by-step explanation:

Given data

Observation A B C

1                8 7 10

2                7 7 11

3                6 6 10

4                7 6 9

5               8 7 10

6                6 6 10

A B C Row total (xr)

1 8 7 10 25

2 7 7 11 25

3 6 6 10 22

4 7 6 9 22

5 8 7 10 25

6 6 6 10 22

Col total (xc) 42 39 60 141

Using calculator for summarizing data

∑x²=1155 ⇒(A)

∑x²c/r=16(42²+39²+60²)

=1/6(1764+1521+3600)

=1/6(6885)

=1147.5⇒(B)

∑x²r/c=13(25²+25²+22²+22²+25²+22²)

=1/3(625+625+484+484+625+484)

=1/3(3327)

=1109⇒(C)

(∑x)²/n=(141)²/18

=19881/18

=1104.5⇒(D)

Sum of squares total

SST=∑x²-(∑x)²/n=(A)-(D)

=1155-1104.5

=50.5

Sum of squares between rows

SSR=∑x²r/c-(∑x)²/n=(C)-(D)

=1109-1104.5

=4.5

Sum of squares between columns

SSC=∑x²c/r-(∑x)²n=(B)-(D)

=1147.5-1104.5

=43

Sum of squares Error (residual)

SSE=SST-SSR-SSC

=50.5-4.5-43

=3

ANOVA table

Source                     Sums         Degrees of           Mean Squares

of Variation        of Squares          freedom                                 F- value

                                      SS                DF                  MS              

Between Treatments SSR=4.5      r-1=5        MSR=0.9              3

Between Blocks          SSC=43     c-1=2       MS =21.5      71.6667

Error (residual)         SSE=3    (r-1)(c-1)=10        MSE=0.3  

Total                    SST=50.5      rc-1=17                                  

Answer:

X    |   y

---------------

-2   |   3

-1   |   0

0   |  -3

1   |  -6

you'll want to work with the center-radius form of a circle equation for this. the center formula is \((x - h)^2 + (y - k)^2 = r^2\), where \((h, k)\) is your center and r is your radius. plug in the information your circle gives you: \(A(-3, 12)\), \(\text{radius} = 5\)

\((x + 3)^2 + (y - 12)^2 = (5)^2\)  ... simplify the right side

\((x + 3)^2 + (y - 12)^2 = 25\) ... from here, you need to foil both of your binomials to convert this to the "general form" that your answer choices are in.

\((x + 3)^2 = (x + 3)(x + 3) = x^2 + 6x + 9\)

\((y - 12)^2 = (y - 12)(y - 12) = y^2 - 24y + 144\)

\(x^2 + 6x + 9 + y^2 - 24y + 144 = 25\) ... combine like terms

\(x^2 + 6x + y^2 - 24y + 153 = 25\) ... subtract 25

\(x^2 + 6x + y^2- 24y + 128 = 0\) is your equation. reorder it so that it's from the highest degree to the lowest:  

\(\boxed{\bold{x^2 + y^2 + 6x - 24y + 128 = 0}}\)

Answer:

2

Explanation:

Given the expression

First evaluate the addition operation in bracket

Evaluate the product;

Hence the result of the expression is 2

Answer:

\(\frac{760}{13}\)  

¡Espero que esto ayude!

The answer would be x = 2 (children) and y = 8 (adults). Therefore, the maximum number of passengers that can ride the elevator is 2 children and 8 adults.

The correct system of inequalities to model all the allowable combinations of children and adults that can ride an elevator is a and b. We can calculate the total weight of the passengers in the elevator by multiplying the number of children by the average weight of a child (60 pounds) and the number of adults by the average weight of an adult (130 pounds). Therefore, the first inequality, x + y < 10, sets the limit on the number of people in the elevator, and the second inequality, 130x + 60y < 1200, sets the limit on the total weight that the elevator can hold. To solve for the allowable combinations of passengers, we can set up and solve a system of equations. For example, if we want to find the maximum number of adults and children that can ride the elevator, we can solve the equations x + y = 10 and 130x + 60y = 1200. The answer would be x = 2 (children) and y = 8 (adults). Therefore, the maximum number of passengers that can ride the elevator is 2 children and 8 adults.

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The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Complete question is;

A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?

Answer:

Diameter is decreasing at the rate of 5/(2πr) cm/hr

Step-by-step explanation:

We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;

dV/dt = -50 cm/hr

Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;

V = πr²h

dV/dr = 2πrh

Now,to find the rate at which the diameter is decreasing, we'll write;

dr/dt = (dV/dt)/(dV/dr)

dr/dt = -50/(2πrh)

We are given;

Diameter = 200 cm

Radius; r = 200/2 = 100 cm

Thickness; h = 10 cm

Thus;

dr/dt = -50/(2π × r × 10)

dr/dt = -5/(2πr) cm/hr

The rate at which grindstone diameter decreases is \(-5/2\pi r \;{\rm cm/hr}\) and this can be determined by using the given data.

Given :

A 10 cm thick grindstone is initially 200 cm in diameter and it is wearing away at a rate of 50 \(\rm cm^3/hr\).

The following steps can be used in order to determine the rate at which grindstone diameter decreases:

Step 1 - According to the given data, the rate at which grindstone volume decreases is:

\(\dfrac{dV}{dt} = 50\;{\rm cm^3/hr}\)        --- (1)

Step 2 -  The formula of the volume of the cylinder (grindstone) is given below:

\(V = \pi r^2 h\)

Step 3 - Differentiate the above expression with respect to 'r'.

\(\dfrac{dV}{dr} = 2\pi r h\)          --- (2)

Step 4 - So, using the expression (1) and (2) the rate at which grindstone diameter decreases is:

\(\dfrac{dr}{dt}=\dfrac{\frac{dV}{dt}}{\frac{dV}{dr}}\)

\(\dfrac{dr}{dt}=\dfrac{-50}{2\pi r \times 10}\\\)

\(\dfrac{dr}{dt} = -\dfrac{5}{2\pi r }\; {\rm cm/hr}\)

So, the rate at which grindstone diameter decreases is \(-5/2\pi r \;{\rm cm/hr}\).

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Answer:

Step-by-step explanation:

Y

Answer:

Answer for r

5

Answer for y

7

Hope it helps

Answer:

I think it would be -0.416 but I'm not real sure so make sure before using my answer! :3 Have a great day!

Answer:

$700 a 30%

Step-by-step explanation:

hope it help :)

Let's do

\(\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k\)

Release k for some while

If

So

So vertical asymptote is at origin now

It mentioned that it's at x=-5 so we need to change x

\(\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}\)

\(\\ \rm\dashrightarrow y=\dfrac{3}{x+5}\)

Now

But it's given

Same put y=12 in place of k

\(\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12\)

Graph attached for verification

Answer:

h(x)=3/x+5 +12

Step-by-step explanation:

"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.

Since x represents the smaller of the two numbers,

Thus the larger number will be 26 - x

The expression asked above will be:

=> 5 + larger number - 2 * smaller number

=> 5 + 26 - x - 2 * x

=> 31 -3x

therefore,  "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

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Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

The populations, considering an exponential function, are given as follows:

An increasing exponential function is modeled according to the rule presented as follows:

\(A(t) = A(0)(1 + r)^t\)

In which the variables of the function are:

In this problem, the parameters are given as follows:

A(0) = 16, r = 0.2.

Hence the function, written as P(t), is:

\(P(t) = 16(1.2)^t\)

The numeric values are found replacing the lone instance of t by the value at which we want to find the numeric value, hence:

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The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

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Using an equation, the number of computers Mr. Victor sold in the morning is 30.

An equation is an algebraic statement that shows the equality or equivalence of two or more mathematical expressions.

Unlike mathematical expressions, equations include the equal symbol (=).

The number of computers Mr. Victor has for sale = 100

Let the number of computers sold in the morning = w

Let the number of computers sold in the afternoon = (2w+3)

Let the number of computers left = 7

The total number of computers, 100 = w + (2w+3) + 7

100 = 3w + 10

3w = 90

w = 30

Thus, since Mr. Victor sold w computers in the morning, w is equal to 30.

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The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided regarding the equations and graphs, the y-intercept are as follows:

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Answer:

The interval containing the middle-most 76% of sample means is between 56.24 and 63.76.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

A distribution of values is normal with a mean of 60 and a standard deviation of 16.

This means that \(\mu = 60, \sigma = 16\)

Samples of size 25:

This means that \(n = 25, s = \frac{16}{\sqrt{25}} = 3.2\)

Find the interval containing the middle-most 76% of sample means.

Between the 50 - (76/2) = 12th percentile and the 50 + (76/2) = 88th percentile.

12th percentile:

X when Z has a p-value of 0.12, so X when Z = -1.175.

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(-1.175 = \frac{X - 60}{3.2}\)

\(X - 60 = -1.175*3.2\)

\(X = 56.24\)

88th percentile:

\(Z = \frac{X - \mu}{s}\)

\(1.175 = \frac{X - 60}{3.2}\)

\(X - 60 = 1.175*3.2\)

\(X = 63.76\)

The interval containing the middle-most 76% of sample means is between 56.24 and 63.76.

Answer:

414,000

Step-by-step explanation:

When rounding to the nearest thousand, you need to focus on the hundreds column. Because the unit is 5, you round up (5,6,7,8,9 determine rounding up). Therefore the 3 in the thousands column becomes a "4".

The dollar value, if Ahmed likes 4 times more the chocolate than the vanilla slice, then he finds C four times more valuable than V. Thus, Ahmed placed a chocolate slice is $1.75.

The foundational subject in mathematics, arithmetic covers operations with numbers. They include addition, subtraction, multiplication, and division. One of the major branches of mathematics, arithmetic serves as the cornerstone for students studying the subject of mathematics. Mathematical arithmetic is the study of the characteristics of the conventional operations on numbers.

Using C for the chocolate slice's value and V for the vanilla slice's value

4 slices × C + 4 slices × V = $14

If Ahmed  likes 4 times more the chocolate than the vanilla slice, then he finds C four times more valuable than V, thus

C = 4×V

4 slices ×4V + 4 slices ×V = $24

20 slices ×P = $14

P=$0.7/slice

V= 4×P = 4×$0.7/slice  = $2.8/slice

Thus for a slice that is half chocolate and half vanilla

value= 1/2 slice× C + 1/2 slice × V

= 1/2 slice ( $0.7 /slice + $2.8/slice)

=  $1.75

Hence,  Ahmed placed a chocolate slice is $1.75.

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Answer:11/4, 7/8, 78%

Step-by-step explanation:

Answer:

0.9 78% 7/8.I hoped I helped

Answer:

The answer is A.

Step-by-step explanation:

1 plus 2x (276-5y) + 69= A.

Answer: 22 minutes

Step-by-step explanation: m + 2m + m + 7 = 4m + 7

4m + 7 = 50

4m = 44

m = 11

2m = 11 x 2 = 22 minutes

The appropriate number of significant figure of the mathematical operation 16.2156 +0.014  is 16.230.

Therefore,

16.2156 + 0.014 = 16.2296

Therefore, let's round it up to 5 significant figures as follows;

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