You have 5 shirts, 6 pairs of pants, and 8 hats. How many outfits can you make consisting of one shirt, one pair of pants, and one hat

Answer: 18/9 if not it's something along that-

Step-by-step explanation:

7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-

Answer:

A. 48.9'

C. 48.9663'

To determine whether to reject or fail to reject the null hypothesis, we typically rely on statistical hypothesis testing. After conducting a hypothesis test, we consider the test statistic and the corresponding p-value.

When the p-value is less than or equal to the predetermined significance level (usually denoted as α), we reject the null hypothesis. This indicates that the observed data provides sufficient evidence to support the alternative hypothesis. Conversely, when the p-value is greater than the significance level, we fail to reject the null hypothesis. In this case, we do not have enough evidence to support the alternative hypothesis.

The significance level α is predetermined and represents the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. Commonly used significance levels include 0.05 (5%) and 0.01 (1%). The choice of the significance level depends on the specific research context and the consequences of making a Type I error.

It is important to note that failing to reject the null hypothesis does not necessarily mean that the null hypothesis is true. It simply means that the observed data does not provide enough evidence to support the alternative hypothesis. There could still be other factors or limitations in the study that contribute to the lack of significant results.

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The majority rule of voting states that the number of votes needed for a majority is one more than the total number of votes.

The total number of votes in this problem is given as follows:

8 + 5 + 3 + 1 + 2 = 19.

Hence the number of votes needed for the majority is given as follows:

0.5 x 19 = 9.5 -> add one to the integer part = 10.

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Answer:

x = 49

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{DN}{KJ}\) = \(\frac{DG}{KM}\) , substitute values

\(\frac{5}{35}\) = \(\frac{8}{x+7}\) ( cross- multiply )

5(x + 7) = 280 ( divide both sides by 5 )

x + 7 = 56 ( subtract 7 from both sides )

x = 49

Answer:

11/12

Step-by-step explanation:

I took 1.9 and turned it into a fraction and the fraction is 1 9/12 so if you have 11/12 and 1 9/12 then you bought 10/12 more pounds of banana than grapes

Answer:

The possible values are less than 4 but greater than –4

Step-by-step explanation:

If the absolute value of integer number is less than 4 then it is 0, 1, 2 or 3.

so the possible integer numbers are: -3, -2, -1, 0, 1, 2 or 3.

All of them are greater than -4 and less than 4

Answer:

Answer is C.

Step-by-step explanation:

Answer:

$6.75

Step-by-step explanation:

You would have to find how much it would cost you to buy 1 can. So you do $9/4= $2.25

now multiply $2.25 and 3

which equals $6.75

6 dollars 75 cents

Hope this helps :)

The formula for elastic potential energy, p, of a spring is p = 1 2kx^2 , where k is the spring constant and x is the length it stretches. a spring has a spring constant of 0.81. x = sqrt(p / 9.72) is the approximate formula that can be used to determine the length it stretches, given p.

The formula for elastic potential energy of a spring, p, is given by:

p = 12kx^2 , Where k is the spring constant and x is the length the spring stretches. Given a spring constant of 0.81, we can rearrange the formula to solve for x:

p = 12 * 0.81 * x^2

p = 9.72x^2

x^2 = p / 9.72

x = sqrt(p / 9.72)

So the approximate formula to determine the length the spring stretches, given p, is: x = sqrt(p / 9.72)

Note that this formula is an approximation because the formula for elastic potential energy is only accurate for small values of x. For larger values of x, other factors, such as nonlinearity, can come into play and affect the accuracy of the formula.

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Answer:

1 - z/3

Step-by-step explanation:

The mean (expected value) of the number of hits is 5/12.

The variance of the number of hits is 17/48.

Mean (Expected Value):

The mean, also known as the expected value, represents the average value of a dataset. It is calculated by summing all the values in the dataset and dividing by the total number of values.

The variance measures the spread or dispersion of a dataset. It quantifies the variability or how much the values differ from the mean. A high variance indicates that the values are more spread out, while a low variance indicates that the values are clustered closely around the mean.

To find the mean and variance of the number of hits, we can use the concept of a binomial distribution.

Let's define the following variables:

X = number of hits

p = probability of hitting the moving target on any given shot

q = probability of missing the moving target on any given shot

n = number of shots

Given information:

p(first shot) = 1/3

p(subsequent shots | previous hit) = 1/2

p(subsequent shots | previous miss) = 1/4

Mean (Expected Value):

The mean of a binomial distribution is calculated as:

Mean = n × p

For the first shot, the probability of hitting is 1/3.

For subsequent shots, the probability of hitting is:

p(subsequent shots)

= p(subsequent shots | previous hit) × p(previous hit) + p(subsequent shots | previous miss) × p(previous miss)

Mean = (1 × 1/3) + (2 × 1/2 × 1/3) + (3 × 1/2 × 1/2 × 1/3)

Mean = 1/3 + 1/3 + 1/12

Mean = 5/12

Therefore, The mean (expected value) of the number of hits is 5/12.

The variance of a binomial distribution is calculated as:

Variance = n × p × q

For subsequent shots, the probability of missing is:

q(subsequent shots) = 1 - p(subsequent shots)

Variance = (1 * 1/3 * 2/3) + (2 * 1/2 * 1/3 * 1/2) + (3 * 1/2 * 1/2 * 1/3 * 1/2)

Variance = 2/9 + 1/12 + 1/48

Variance = 17/48

Therefore, the variance of the number of hits is 17/48.

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In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable(b).

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable. ANOVA is used to determine if there is a significant difference between the means of two or more groups, and the factor is the variable being studied that is believed to have an effect on the outcome. Variance is a measure of the variability or spread of the data, and ANOVA compares the variance between groups to the variance within groups to determine if there is a significant difference. The different levels of a treatment are also referred to as levels of the factor.

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Does this table represent a function: C. No, because one x-value corresponds to two different y-values.

In Mathematics and Geometry, a function can be defined as a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, all functions are used in mathematics to uniquely map an input variable (domain or independent values) to an output variable (range or dependent values).

Based on the table shown above, we can reasonably infer and logically deduce that it does not represent a function because the input values (domain or independent values) are not uniquely mapped to the output values (range or dependent values);

3  → 4

4 → 4

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$855.78

Interest, in this context, is the amount of money a saving account can earn over time.

Compound Interest Formula

There are 2 types of interest: simple and compound. For this question, we are going to use the compound interest formula. This formula is \(A = P(1+\frac{r}{n})^{nt}\). As stated in the question, A is the total balance, P is the principal, r is the interest rate, n is how often the interest is compounded, and t is time.

Variables

The values of these variables for this question are as follows:

The principal is the initial amount, and the question states that the account starts at 300 dollars.

The question says the interest rate is 14%, so we can convert this to the decimal 0.14.

If something is compounded annually, it is compounded once a year, so n must be 1.

If we want to find the balance after 8 years, we should set t equal to 8.

Solving for A

To find A, all we have to do is plug the variables into the formula.

This can be rewritten as:

Solve this to find that A ≈ 855.78. After 8 years, the balance will be $855.78.

Answer:

x

=

2

±

√

7

Explanation:

there are no whole numbers which multiply to - 3

and sum to - 4

we can solve using the method of  

completing the square

the coefficient of the  

x

2

term is 1

∙

add subtract  

(

1

2

coefficient of the x-term

) 2  to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7

take the square root of both sides

⇒ x − 2 = ± √ 7 ←

note plus or minus

⇒ x = 2 ± √ 7←

exact solutions

Step-by-step explanation:

x²-4x+3=0

x²-4x=-3

take half of -4 square it and add it to both side

x²-4x+(-2)²=4-3

(x-2)²=1

x-2=±1

x=2±1

x=1,3

Answer:

\(G=-\frac{5}{4}t+15\)

Slope = \(-\frac{5}{4}\)

Step-by-step explanation:

Let the equation representing the number of gallons left in the gas tank is,

G = mt + b

Where m = slope of the line

b = y-intercept of the line

Slope of the line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is,

'm' = \(\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line passing through (8, 5) and (4, 10),

m = \(\frac{10-5}{4-8}\)

m = -\(\frac{5}{4}\)

Equation of line will be,

G = \(-\frac{5}{4}t+b\)

Since, point (8, 5) lies on this line,

5 = \(-\frac{5}{4}(8)+b\)

5 = -10 + b

b = 15

Therefore equation of the function will be,

G = \(-\frac{5}{4}t+15\)

Here slope of the function represents the \(\frac{5}{4}\) gallons of gas is consumed to drive the car for one hour.

Answer:

z=92-83/5

Step-by-step explanation:

The formula for calculating a z-score is given as:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Where: from the question

x is the raw score = 92

μ is the population mean = 83

σ is the population standard deviation = 5

z = 92 - 83/5

Therefore, expression would she write to find the z-score of her test score is

z = 92 - 83/5

Answer:

C on EDG

Step-by-step explanation:

The answer is \( 5 \sqrt{3} \)

\( \frac{ {m}^{2} }{15} - 3 = 2\)

\( \frac{ {m}^{2} }{15} = 2 + 3\)

\( \frac{ {m}^{2} }{15} = 5\)

\( {m}^{2} = 5 \times 15\)

\( {m}^{2} = 75\)

\(m = \sqrt{75} \)

\(m = \sqrt{25 \times 3} \)

\(m = \sqrt{25} \times \sqrt{3} \)

\(m = 5 \sqrt{3} \)

CMIIW

The evaluations of the given integrals are:

₂∫⁷g(x)dx = -6

₂∫⁷7g(x)dx = -42

₂∫⁷[g(x)-f(x)] dx = 1

₂∫⁷[8g(x)-f(x)] dx = -41

Given the information provided, we can evaluate the given integrals as follows:

₂∫⁷g(x)dx = -6

This integral is already given in the information provided.

₂∫⁷7g(x)dx = 7 * ₂∫⁷g(x)dx = 7 * (-6) = -42

We can multiply the integral of g(x) by a constant factor of 7.

₂∫⁷[g(x)-f(x)] dx = ₂∫⁷g(x)dx - ₂∫⁷f(x)dx

Substituting the given values:

₂∫⁷[g(x)-f(x)] dx = (-6) - (-7) = 1

By subtracting the integral of f(x) from the integral of g(x), we obtain the result.

₂∫⁷[8g(x)-f(x)] dx = 8 * ₂∫⁷g(x)dx - ₂∫⁷f(x)dx

Substituting the given values:

₂∫⁷[8g(x)-f(x)] dx = 8 * (-6) - (-7) = -48 + 7 = -41

By multiplying the integral of g(x) by a constant factor of 8 and subtracting the integral of f(x), we obtain the result.

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Answer:

No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

Given a function where x represents an input of a particular value, which gives an output for that particular value inputted as defined by the function, if the function is true and valid, a particular value of input should not give us different values of output.

Thus, from the table given, at x = 5, we have y = 3.

Also, at x = 5, we have y = 2.

Here, one x-value is given us two different y-values. This is not true if a function. We cannot regard the table given as representing a function.

Therefore, the answer is:

No, because one x-value corresponds to two different y-values.

A line graph is best suited for showing changes in statistics over time or space.

Line graphs are commonly used to visualize trends, patterns, and fluctuations in data over a continuous or discrete period. The x-axis represents time or space, while the y-axis represents the corresponding statistic being measured. The line graph connects the data points, allowing for a clear representation of how the statistic changes over the given time or space interval.

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The correct answer is d. All of the other options will increase the width of a confidence interval.

Increasing the percentage of confidence from 80% to 90% will increase the width of the confidence interval because a higher confidence level requires a wider interval to capture a larger range of possible parameter values.

Reducing the sample size from n = 25 to n = 16 will also increase the width of the confidence interval. A smaller sample size leads to less precision in estimating the population parameter, resulting in a wider interval.

Increasing the sample mean from MD 2 to MD 4 will also increase the width of the confidence interval. A larger sample mean leads to a wider interval as it increases the potential range of the population parameter values.

Therefore, options a, b, and c will increase the width of a confidence interval, while option d states that all the other options will do so.

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Answer:

49.093

Step-by-step explanation:

Given the regression equation :

ŷ = –0.227x + 50.455

x represents the price of bobbleheads (measured in dollars)

ŷ is the predicted demand of bobbleheads (in units).

Preductwd demand ; when x = 6

ŷ = –0.227(6)+ 50.455

= 49.093

Answer:

the answer is: D

Step-by-step explanation:

did the test

A line connecting the coordinates (-4, 0), and (0, 2) on a coordinate plane will serve as the equation's representation in graph 4.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, a linear function that has a slope of 0.5 and a y-intercept of 2.

thus the equation of line as slope-intercept:

y = mx + c

y = 0.5x + c

Since Y-intercept is 2 thus line passes through (0, 2)

from the equation

2 = 0.5 * 0 + c

c = 2

Equation of the line:

y = 0.5x + 2

Therefore, On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2) and graph 4 will represent the equation.

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Answer:

Step-by-step explanation:

c=5

y=1/2

3.26.4285714286

Answer:

the last one (bottom right)

Step-by-step explanation:

all the others have at least one x value with several associated y values.

but for a function, for all values of x there can be only one value of y.

Ginny should reorder when the inventory level reaches 116.515 pounds to maintain a 95% service level

To calculate the reorder point, we need to consider two factors: the lead time (time between ordering and receiving the delivery) and the safety stock (the extra amount of flour kept in case of unexpected demand or delay in delivery).

Using the formula: Reorder point = (Average daily usage x Lead time) + Safety stock, we can calculate the reorder point.

Here, the average daily flour consumption is 35 pounds with a standard deviation of 7 pounds, and the average delivery time from the supplier is 3 days with a standard deviation of 0.5 days. She decides to order 72 pounds at a time.

The lead time is 3 days, and the safety stock can be calculated using the service level and standard deviation of demand during lead time. Assuming a 95% service level, we can use the z-score of 1.645 (from the standard normal distribution table) to calculate the safety stock.

Safety stock = (z-score x Standard deviation of demand during lead time) = (1.645 x 7) = 11.515 pounds

Now, we can calculate the reorder point:

Reorder point = (Average daily usage x Lead time) + Safety stock = (35 x 3) + 11.515 = 116.515 pounds

Therefore, Ginny should reorder when the inventory level reaches 116.515 pounds to maintain a 95% service level. This ensures that she has enough flour to cover her daily usage and also account for any unexpected demand or delivery delays.

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The distance that the jet would have travelled can be found to be 2,364.98 miles.

To determine how many miles the jet has traveled, we need to calculate the distance traveled during the acceleration phase (first 7 minutes) and the constant speed phase.

Calculate the distance traveled during the acceleration phase:

Distance = Average speed x Time

Distance = 300 miles/hour x 0.1167 hours ≈ 35 miles

The jet continued to travel at a constant speed of 600 miles per hour for the remaining time.

Calculate the distance traveled during the constant speed phase:

Distance = Speed x Time

Distance = 600 miles/hour x 3.8833 hours = 2,329.98 miles

Total distance traveled:

Total distance = Distance during acceleration + Distance during constant speed

Total distance = 35 miles + 2329.98 miles = 2364.98 miles

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The error in solving for one of the variables in the linear system is likely a mistake made during the substitution or elimination method. Without further information, it's difficult to pinpoint the exact error.

However, common mistakes include miscalculations, misplacement of signs, or forgetting to distribute coefficients. Carefully review each step and double-check calculations to identify and rectify the error.

In this specific system, one possible error could be made during the elimination method. When attempting to eliminate the variable "y," one might mistakenly multiply the second equation by 2 instead of -2. This would lead to incorrect coefficients and ultimately yield an incorrect solution for "x" and "y." Always check the steps, signs, and calculations to ensure accuracy when solving linear systems.

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