I have a spinner that is divided into 4 equal sections colored red, blue, green, and yellow .If I spin the spinner twice ,What is the probability that the spinner will land on yellow both times ?

Answer:

the 2nd one

Step-by-step explanation:

Answer:

Step-by-step explanation:

The second statement is correct.  The comma indicates that the "favorite fruits" are identified right there and then.

The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.

To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.

First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.

Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.

Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.

Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.

In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.

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Answer:

2.6i

Step-by-step explanation:

undo the - by making it:  √-6.76= √6.76 x  √-1

then,  √-1 would be converted to imaginary number -> i

now rewrite it as  √6.76 x i or i√6.76 which is the same as the squareroot of 6.76 which is 2.6 times i.

Then just write your final answer as 2.6i

Answer:

There is no answer because you cannot square root a negative.

Step-by-step explanation:

For example, if you want to square root 4 the answer is 2. If you want to square root -4 the answer is not 2 or -2 because both the answers make +4.

Answer:

The amount charged for a hamburger is $11

Step-by-step explanation:

The function relating the amount d charged with the number of hamburgers is;

d = 3h + 8

The amount charged for a hamburger can be calculated by substituting the value 1 for h

Thus, we have;

d = 3(1) + 8 = $11

(a) HypothesesH0: β1=β2=0H1: At least one βj≠0The test statistic for F is given by F=SSR/kMSR/(n−k−1)=MSER/MSEFThe null hypothesis is rejected if the test statistic F is large (greater than some critical value).

Here, n=20, k=2 and α=0.05.SSR=13,937.2MSE

=SSR/(n−k−1)

=13,937.2/17

=818.07MSR

=SST−SSR/k

=15,090.1−13,937.2/2

=576.45

Hence,F=576.45/818.07

=0.7045

The degrees of freedom for MSR and MSE are k=2 and n−k−1=17, respectively.

From the tables of the F-distribution, we have

F0.05(2,17)=3.68Since Ft0.025(17), we reject

H0.ConclusionThe parameter β1 is significant at 5% significance level.

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The hypothesis used for consumer panel test are null hypothesis when μ = 8 and alternative hypothesis when μ < 8.

And α = 0.01 make it easier for consumer panel to conclude that manufacturer is cheating its customers

Bottles are label with 8 oz.

Random sample contained an average of 7.8 oz.

The consumer panel should test the following hypotheses,

Null hypothesis,

H₀: The population mean amount of liquid in the bottles is equal to 8 oz.  μ = 8.

Alternative hypothesis,

Hₐ, The population mean amount of liquid in the bottles is less than 8 oz.  μ < 8.

Here, H₀ represents the null hypothesis that the manufacturer is not cheating customers,

while Hₐ represents the alternative hypothesis that the manufacturer is cheating customers by underfilling the bottles.

To determine which value of α would make it easier for the consumer panel to conclude that the manufacturer is cheating its customers,

Consider the level of significance of the test.

The level of significance α is the probability of rejecting the null hypothesis when it is actually true a Type I error.

A smaller value of α makes it less likely to reject the null hypothesis and more difficult to conclude that the manufacturer is cheating customers.

Conversely, a larger value of α makes it more likely to reject the null hypothesis.

And easier to conclude that the manufacturer is cheating customers.

Given the serious nature of the accusation,

A conservative approach would be appropriate, and the consumer panel may want to use a lower value of α to minimize the risk of a Type I error.

This implies, of the three given values α = 0.01 would make it easier for  consumer panel to conclude that manufacturer is cheating its customers.

As it represents the smallest value of α and the most conservative approach.

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To find the value of x in the parallelogram HGFE, we can use the properties of parallelograms.

In a parallelogram, opposite sides are equal in length. Therefore, we can set up the following equation:

HE = GF

Using the given information:

x^2 - x = 2 - 4x

Rearranging the equation:

x^2 + 3x - 2 = 0

Now we can solve this quadratic equation for x. Using factoring, the equation can be written as:

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

Setting each factor equal to zero:

x - 1 = 0 or x + 2 = 0

Solving for x:

x = 1 or x = -2

Therefore, there are two possible values for x in the parallelogram HGFE: x = 1 or x = -2.

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The value of the expression is 1/(9x)^2

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

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

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The hypothesis that the mean responses for value for the dollar and customer service do not differ by gender was tested in the Excel file cell phone survey.

In the cell phone survey Excel file, a hypothesis was tested to determine if there was a difference in the mean responses for value for the dollar and customer service based on gender. The survey data was analyzed using appropriate statistical methods, such as t-tests or analysis of variance (ANOVA), to compare the mean ratings between male and female respondents.

To test the hypothesis, the Excel file data was first organized to separate the responses based on gender. Then, the mean ratings for value for the dollar and customer service were calculated for both male and female respondents. Statistical tests were performed to determine if there was a significant difference between the two groups.

The results of the hypothesis test will indicate whether there is evidence to support or reject the claim that the mean responses for value for the dollar and customer service do not differ by gender. If the p-value associated with the statistical test is below a predetermined significance level (e.g., 0.05), it would suggest that there is a significant difference between the mean ratings for the two genders. On the other hand, if the p-value is greater than the significance level, it would indicate that there is insufficient evidence to conclude a difference in mean responses.

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Answer:

Step-by-step explanation:

A=s^2=64

s=8m

d^2=x^2+y^2, since it is a square x=y=8 then

d^2=2x^2

d^2=2(8^2)

d^2=128

d=11.3

So diagonal is approximately 11m

The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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Answer:

How many brothers and sisters do people in our class have?

Students might suggest that we can ask how many siblings, or they might suggest we ask how many brothers, how many sisters and how many altogether.

The idea of asking about brothers and sisters separately allows for a deeper exploration of the data and a more in depth answer to our investigative question.

Step-by-step explanation:

Tiyanna would earn a commission of $4,200 if she sells a car for $42,000. This is because the commission rate for the dealership is 8%, so 8% of $42,000 is $3,360.

Amount is a term used to refer to the total sum of money, goods, or services that are being exchanged in a transaction. It is usually expressed in a currency, such as dollars, euros, or pounds. In some cases, it can also refer to the measurement of a physical quantity, such as weight, volume, or length.


The commission for Tiyanna is 10% of the dealership's commission, so 10% of $3,360 is $336, which is her commission for the sale. As a result, her total commission would be $4,200 ($3,360 from the dealership plus $336 from Tiyanna).

The reason why Tiyanna earns a higher commission when she sells a more expensive car is because her commission rate is a percentage of the dealership's commission. The dealership's commission rate is the same regardless of how much the car costs, so when the car costs more, the dealership earns more, thus resulting in a higher commission for Tiyanna. This encourages Tiyanna to sell more expensive cars, as the potential to earn a higher commission gives her an incentive to do so.

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After 3 seconds, the hot air balloon will rise to a height of 26 meters when starting from an initial height of 2 meters.

If the hot air balloon rises 8m every 1 second, we can calculate the total height the balloon will reach after 3 seconds by multiplying the rate of ascent (8m) by the number of seconds (3).

Height after 3 seconds = Rate of ascent * Number of seconds

= 8m/1s * 3s

= 24m

Therefore, the hot air balloon will rise to a height of 24 meters after 3 seconds.

To further understand the calculation, let's break down the balloon's ascent over the 3-second period:

After 1 second, the balloon rises by 8 meters, reaching a height of 2m + 8m = 10m.

After 2 seconds, the balloon rises another 8 meters, reaching a height of 10m + 8m = 18m.

Finally, after 3 seconds, the balloon rises by an additional 8 meters, resulting in a total height of 18m + 8m = 26m.

However, it's important to note that in the given information, the initial height of the hot air balloon is mentioned as 2m. If we consider this information, then after 3 seconds, the balloon would actually reach a height of 2m + 8m * 3s = 2m + 24m = 26m.

So, after 3 seconds, the hot air balloon will rise to a height of 26 meters when starting from an initial height of 2 meters.

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Among the profitability measures listed, the "Discounted payback period" does not account for the time value of money.

The time value of money refers to the concept that the value of money changes over time due to factors such as inflation, opportunity cost, and the potential to earn returns on investments. When evaluating the profitability of an investment or project, it is essential to consider the time value of money.

The "Net Present Value" (NPV) and "Cumulative Cash Flow" are both measures that explicitly account for the time value of money. NPV calculates the present value of all cash inflows and outflows associated with an investment, considering the discount rate, which represents the opportunity cost of investing in the project. Cumulative Cash Flow takes into account the cash inflows and outflows over time, reflecting the timing and magnitude of cash flows.

However, the "Discounted payback period" does not incorporate the time value of money. It measures the time required for an investment to recover its initial cost, considering discounted cash flows. However, it does not account for the opportunity cost of money or the present value of cash flows.

In summary, while Net Present Value and Cumulative Cash Flow account for the time value of money, the Discounted payback period does not.

Which of the following profitability measures does not account for the time value of money?

a) Discounted payback period

b) Net present value

c) Cumulative cash flow

d) All of these account for the time value of money.

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Answer:

Inequality:

29.2x + 501.60 ≤ 560

Answer:

She may buy up to 2 reflectors.

Step-by-step explanation:

She can spend up to $560, so the total expense has to be less than or equal to $560.

total expense ≤ 560

All items she buys have a price and a number of items except for the outfits which have a price but an unknown number.

Let x = number of outfits.

total expense = $425.05 + 4 × $15.19 + $15.79 + x × $29.20

total expense = 29.2x + 501.60

Inequality:

29.2x + 501.60 ≤ 560

29.2x ≤ 58.4

x ≤ 2

She may buy up to 2 reflectors.

The value of x in the equation when y = 15 is 200.

To find the value of x in the equation, we substitute y = 15 into the equation and solve for x:

1/5 x - 2/3 y = 30

Replacing y with 15:

1/5 x - 2/3 * 15 = 30

1/5 x - 10 = 30

1/5 x = 30 + 10

1/5 x = 40

Multiplying both sides by 5 to isolate x:

x = 40 * 5

x = 200

Therefore, the value of x in the equation when y = 15 is 200.

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Answer:

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal

Answer:

I was taught like this.

Corresponding has emphasis on the word pond

Fish live in a pond

Therefore, it has to be an angle F

A. The equations for the amounts of money Lyle and Shaun have in their accounts are represented as:

f(x) = 20x + 100

g(x) = 10x + 500

B. When f(x) = g(x), x = 40.

A linear equation can be written in slope-intercept form y = mx + b. Here, the value of m is the unit rate or slope, while the value of b is its y-intercept or initial value.

Part A:

Equation for Lyle:

y-intercept / initial value (b) = $100

Slope / unit rate (m) = $20

To write the equation, substitute m = 20 and b = 100 into f(x) = mx + b:

f(x) = 20x + 100.

Equation for Lyle:

y-intercept / initial value (b) = $500

Slope / unit rate (m) = $10

To write the equation, substitute m = 10 and b = 500 into g(x) = mx + b:

g(x) = 10x + 500.

Part B: To solve the system, we would do the following:

20x + 100 = 10x + 500

20x - 10x = -100 + 500

10x = 400

x = 400/10

x = 40

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1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                     = 100,000 AA Batteries

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In 1990, the average person in the United States consumed approximately 0.000532 lb (or 0.24 grams) of artificial sweeteners per year, based on USDA data.

In 1990, according to the USDA, each person in the United States consumed an average of 133 lb of artificial sweeteners per year.
To calculate the average consumption of artificial sweeteners per person, you can divide the total consumption by the population of the United States in 1990.
Let's assume that the population of the United States in 1990 was 250 million people.
To find the average consumption per person, you would divide the total consumption of 133 lb by the population of 250 million people:
133 lb / 250,000,000 people = 0.000532 lb/person
Therefore, in 1990, the average person in the United States consumed approximately 0.000532 lb (or 0.24 grams) of artificial sweeteners per year.

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Answer:

y=6

Step-by-step explanation:

By Similar triangles

\(\frac{y}{4} =\frac{9}{y}\)

\(y^2=36\)

\(y=6\)

Answer:

What value of x makes this equation true? 2(4x-3) - 8= 4+2x​  HERE YOU GO!!

Step-by-step explanation:

We need to eliminate one of the variables to solve the other.

4x+5y = 8

2x-3y = 18

I will multiply the second equation by -2.

-2*(2x-3y = 18)

-4x + 6y = -36 and then add the two equations

4x + 5y = 8

-4x + 6y = -36

+ adding here

11y = -24

y = -24/11

substitute x in one of the equations to find y.

2x-3y=18

2x - (3*-24/11) = 18

2x = 126/11

x = 126/22

Answer:

1728

Step-by-step explanation:

2\(\pi\)r h

2\(\pi\)(11) × 14

968

B=\(\pi r^{2}\)

B=\(\pi\)11^2 =121\(\pi\)

S=2\(\pi\)rh + 2\(\pi r^{2}\)

S=968 +2 x 121

S=968 +242\(\pi\)= 1728

Answer:

26 nickels

Step-by-step explanation:

Given that

Total contributed = $1.69

Number of coins = 5

based on the above information,

The number of nickels to be contributed is

Here first we have to determine the prime factors of 169 i.e 13 and 13

This represents that there are 13 member gives their $0.13 per person so it would be $1.69

Also there are 13 cents out of which 3 cents would be 3 pennies the remaining 10 cents would be 2 nickels

So the 13 people contributed to 2 nickels

Therefore,  it would be

= 13 × 2

= 26 nickels

The mean to set 95 percent probability to ensure half liter fill  bottle will not be underfilled is equal to 491.78ml.

Mean amount of fill in a half-liter (500 ml) soft drink bottle.

Ensure a 95% probability that a bottle will not be underfilled.

Let X be the amount of fill in a bottle.

X has a normal distribution with mean μ and standard deviation σ = 5 ml.

Value of μ such that

P(X ≥ 500) = 0.95,

Ensure 95% probability that a bottle will not be underfilled.

Using the standard normal distribution,

Corresponding z-score is,

z = (500 - μ) / σ

From the standard normal distribution table,

z-score corresponding to a 95% probability is approximately 1.645.

Substituting the values of σ, z, and solving for μ, we get,

⇒1.645 = (500 - μ) / 5

⇒500 - μ = 8.225

⇒μ = 500 - 8.225

⇒μ ≈ 491.78 ml

Therefore, to ensure the 95% probability of the mean amount of fill in a half-liter soft drink bottle should be set to approximately 491.78 ml .

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Answer:

The right answer is = so C ig

Answers

y = 14x-37

b/c The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

y=-16x-12 + 30x-25 ,when simplify it

add -16x & 30x and add-12 & -25,so the answer will be

y=14x+37