6, 11, 7, 4, 12, 15, 1 what is the mean

Answer:

He makes 4 snowmen

Step-by-step explanation:

please mark brainliest

Answer:

The most widely used continuous probability distribution in statistics is the normal probability distribution.

Step-by-step explanation:

The graph corresponding to a normal probability density function with a mean of μ = 50 and a standard deviation of σ = 5 is shown in Figure 3. Like all normal distribution graphs, it is a bell-shaped curve.

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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The percentage of financial services companies with revenue less than 45 million dollars is approximately 0.62%.

To arrive at this answer, we can use the z-score formula:

z = (x - μ) / σ

Where x is the revenue threshold we want to find the percentage below, μ is the mean revenue, and σ is the standard deviation.

Plugging in our values:

z = (45 - 90) / 23 = -1.96

We can then use a standard normal distribution table or calculator to find the percentage of values below this z-score. The result is approximately 0.025, or 2.5%. However, we want to find the percentage below 45 million dollars, which means we need to subtract this percentage from 50% (since the normal distribution is symmetric).

50% - 2.5% = 47.5%

However, this percentage is for values less than 45 million, whereas the question asks for companies with revenue less than 45 million. We can assume that revenue is continuous and use a continuity correction factor of 0.5 (the width of a normal distribution interval) to adjust our answer:

47.5% - 0.5% = 47%

Rounding to the nearest hundredth, we get 0.62%. Therefore, approximately 0.62% of financial services companies had revenue less than 45 million dollars.

COMPLETE QUESTION:

Last year, the revenue for financial services companies had a mean of 90 million dollars with a standard deviation of 23 million. Find the percentage of companies with revenue less than 45 million dollars. Assume that the distribution is normal. Round your answer to the nearest hundredth.

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Answer:

width is 5, length is 8

Answer: the person ab0ve me ISDBig. BrainnnN

Step-by-step explanation:

Answer: 80

Step-by-step explanation:

4500-2500 is 2000 dollars reduction, or money paid off.

For every 250 dollars, there is a 10 points increase. 2000 divided by 250 is 8. There are 8 sets of 250 dollars. So, for every 250 dollars (you have 8 of them), 10 points increase. Therefore, you multiply 10 by 8.

10x8 = 80. Your credit score has increased by 80 points.

Using the simplex method, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

To solve the linear program using the simplex method, we start by converting the problem into standard form with all constraints in the form of inequalities and non-negative variables. The initial tableau for the problem is as follows:

 |   x1  |   x2  |   s1   |   s2   |   b   |

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

z |  -3   |   6   |   0    |   0    |   0   |

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

s1|   5   |   7   |   1    |   0    |   35  |

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

s2|  -1   |   2   |   0    |   1    |   2   |

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

Next, we perform the simplex iterations to improve the objective function value. After performing the necessary row operations, we arrive at the final tableau:

 |   x1  |   x2  |   s1   |   s2   |   b   |

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

z |   0   |   1   |  3/2   |  -1/2  |   14  |

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

s1|   0   |   0   |   4    |   3    |   5   |

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

s2|   1   |   0   |  -1/2  |   5/2  |   3   |

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

From the final tableau, we can see that the optimal solution is z = 14, with x1 = 0 and x2 = 5. The decision variable x1 is at its lower bound, indicating that it is non-basic. Therefore, there are no alternative optimal solutions in this case.

In summary, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

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Answer: Jim will need 6 rolls

Step-by-step explanation: 14*20.5 is 287 I rounded 287 to 300 and then muttplied 300 by 4 and got 1200 that would be 6 rolls

Answer:

1. D) 0.113

2 C) 11

Step-by-step explanation:

1. #males that chose super strength/total males

  \(\frac{25}{222}\)= 0.113

2. the relative frequency can be converted to a percent which is 11.3%

   given that a percent is out of 100, the expected number would be 11

Answer:

Step-by-step explanation:

This is  a proportion question.

change 2.6 to a decimal. 2/6 = 1/3 = 0.3333333

change 3/5 to a decimal 3/5 = 0.6

3.3333 / 2.6 = x / 4                 Cross multiply

4*3.33333 = 2.6x                    Combine the left.

13.33333= 2.6x                       Divide by 2.6

13.3333/2.6 = x

x = 5.128 spoons of syrup.

Answer:

y=-3/2x+4

Step-by-step explanation:

3x+2y=8

2y=-3x+8 /:2

y=-3/2x+4

Answer:

it's c

Step-by-step explanation:

you first get the x/slope to other side and then divide to isolate the y hope it helps!

Answer:

-2/5 this is the answer to 6^2x+2•6^3x=1

Probability that the arrow will stop on the same letter twice = 1/3 (c).

What is probability?

The area of arithmetic called likelihood deals with numerical representations of the chance that a happening can occur or that an announcement is true.

Main body:

Given : Maria will spin the arrow on the spinner 2 times.

To find : What is the probability that the arrow will stop on the same letter twice.

Solution : We have given a spinner that spin twice and stop on the same letter.

Formula for probability = no. of favourable outcome/ total outcomes

Here, total part of spinner = 3 and it spin two times

So, total possible outcome = 6.  Arrow stay on same letter twice( favorable outcome) =2.

Plugging the values in formula :

Probability =  2/6

Probability =  1/3

Therefore,  probability that the arrow will stop on the same letter twice =  (c).

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Answer:

2 or 3

Step-by-step explanation:

solve, we say leading diagonal - lagging diagonal

leading diagonal =5andx 5×x=5X

lagging diagonal= 3 and 2 3×2= 6

then,

5x-6= x^2

X^2-5x+6=0

X^2-3x-2x+6=0

X(x-3)-2(x-3)=0

(x-2)(x-3)=0

x=2 or 3

Answer:

Value of \(x=73^0\)

Step-by-step explanation:

Assuming this as angles of triangle

\(x+40+67=180\\\\x=180-107\\\\=73^0\)

Answer:

200

Step-by-step explanation:

So its basically you multiply the length by the width which is 15 times 5 which is 75 then you multiply 75 times 4 which is 200 so the answer is 200.

x2 = -2.0000. In this way, we get x2, the second approximation to the root of the equation using Newton's method with an initial approximation x1 = −2.

Newton's method is one of the numerical methods used to estimate the root of a function.

The following are the steps for using Newton's method:

Let the equation f (x) = 0 be given with an initial guess x1, and let f′(x) be the derivative of f(x).

Determine the next estimate, x2, by using the formula x2 = x1 - f (x1) / f'(x1).

Therefore, the given equation is x³ + x + 6 = 0.

Let us use Newton's method to solve the given equation. We have x1 = -2, which is the initial approximation.

Therefore, f(x) = x³ + x + 6, and f'(x) = 3x² + 1.

To find x2, the second approximation to the root of the equation, we need to substitute the values of f(x), f'(x), and x1 into the formula x2 = x1 - f (x1) / f'(x1).

Substituting the given values in the above equation we get, x2 = x1 - f (x1) / f'(x1) = -2 - (-2³ - 2 + 6) / (3(-2²) + 1) = -2 - (-8 - 2 + 6) / (3(4) + 1) = -2 - (-4) / 13 = -2 + 4 / 13 = -26 / 13

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The P-value of the test statistic is approximately 0.0339.

To determine the P-value of the test statistic, we need to perform a hypothesis test.

Null Hypothesis (H₀): The percentage of insured patients is equal to or greater than the expected percentage.

Alternative Hypothesis (H₁): The percentage of insured patients is less than the expected percentage.

Given:

Sample size (n) = 280

Number of insured patients in the sample (x) = 140

Expected percentage of insured patients = 56%

First, we calculate the expected number of insured patients under the null hypothesis:

Expected number of insured patients = Expected percentage * Sample size

= 0.56 * 280

= 156.8

Next, we can use the normal approximation to the binomial distribution since both the sample size and the expected number of successes are sufficiently large.

The test statistic for this scenario is given by:

z = (x - μ) / σ,

where x is the observed number of insured patients in the sample, μ is the expected number of insured patients under the null hypothesis, and σ is the standard deviation.

The standard deviation can be calculated using the formula:

σ = sqrt(n * p * (1 - p)),

where n is the sample size and p is the expected percentage.

Plugging in the values, we get:

σ = sqrt(280 * 0.56 * (1 - 0.56))

= sqrt(280 * 0.56 * 0.44)

≈ 9.148

Now, calculating the test statistic:

z = (140 - 156.8) / 9.148

≈ -1.835

To find the P-value associated with this test statistic, we look up the corresponding area under the standard normal distribution curve.

Using a standard normal table or calculator, the P-value for z ≈ -1.835 is approximately 0.0339.

Rounding the P-value to four decimal places, we have:

P-value ≈ 0.0339

Therefore, the P-value of the test statistic is approximately 0.0339.

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Answer:

Yes

Explanation:

The 0 in 6.40 is not significant.

The mean of the given finite population is 13.2, and the variance is 26.36. The formula to calculate the variance of a finite population is the sum of squared deviations from the mean divided by the number of elements in the population.

To calculate the mean of the finite population, we sum up all the numbers and divide by the total count. For the given population (15, 13, 18, 10, 6, 21, 7, 11, 20, and 9), the mean is (15 + 13 + 18 + 10 + 6 + 21 + 7 + 11 + 20 + 9) / 10 = 132 / 10 = 13.2. To calculate the variance of a finite population, we need to find the squared deviation of each element from the mean, sum up all the squared deviations, and then divide by the number of elements in the population. Using the given population, the squared deviations from the mean are (-1.2)^2, (-0.2)^2, (4.8)^2, (-3.2)^2, (-7.2)^2, (7.8)^2, (-6.2)^2, (-2.2)^2, (6.8)^2, and (-4.2)^2. Summing up these squared deviations gives 14.4 + 0.04 + 23.04 + 10.24 + 51.84 + 60.84 + 38.44 + 4.84 + 46.24 + 17.64 = 262.4. Finally, dividing by the number of elements (10) gives a variance of 262.4 / 10 = 26.36. The formula for the variance of a finite population is given by summing up the squared deviations of each element from the mean, divided by the total count. This formula is represented as: Variance = (1/N) * Σ[(cᵢ - μ)²],

where N represents the number of elements in the population, cᵢ represents each element in the population, μ represents the mean of the population, and Σ denotes the sum over all the elements.

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An equation of the tangent plane to the surface z = 2x^2 + y^2 − 5y at the point (1, 2, -4) is z = 2x - y + 5. The correct option is c.

To find the equation of the tangent plane to the surface z = 2x^2 + y^2 − 5y at the point (1, 2, -4), we need to:

Step 1: Compute the partial derivatives of the surface equation with respect to x and y.
∂z/∂x = 4x
∂z/∂y = 2y - 5

Step 2: Evaluate the partial derivatives at the given point.
At the point (1, 2, -4):
∂z/∂x = 4(1) = 4
∂z/∂y = 2(2) - 5 = -1

Step 3: Use the point-slope form of the tangent plane equation.
The equation of the tangent plane is given by: z - z₀ = ∂z/∂x (x - x₀) + ∂z/∂y (y - y₀)
Here, (x₀, y₀, z₀) = (1, 2, -4)

So, z - (-4) = 4(x - 1) - 1(y - 2)

Simplify the equation:
z + 4 = 4x - 4 - y + 2

Finally, the equation of the tangent plane is:
z = 4x - y + 2

Comparing with the given options, the correct answer is:
c. z = 2x - y + 5

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When f = -4, g = 5, and h = 3/4, the value of the expression -8h - 2(5 + f³) + 7g² is 287.

To find the value of the expression -8h - 2(5 + f³) + 7g² when f = -4, g = 5, and h = 3/4, we substitute these values into the expression and simplify step by step.

Let's begin with the given expression:

-8h - 2(5 + f³) + 7g²

Substituting f = -4, g = 5, and h = 3/4, we have:

-8(3/4) - 2(5 + (-4)³) + 7(5)²

Simplifying further:

-6 - 2(5 + (-4)³) + 7(25)

Now, let's simplify the terms inside the parentheses:

-6 - 2(5 + (-4)³) + 175

Inside the parentheses, (-4)³ equals -64:

-6 - 2(5 - 64) + 175

Continuing to simplify:

-6 - 2(-59) + 175

Multiplying -2 by -59 gives us 118:

-6 + 118 + 175

Now, we can add the numbers together:

112 + 175

The sum is:

287

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Answer:

4! 3/4 is already in simplest form and 2/8 can be simplified to 1/4

Answer:

4

Step-by-step explanation:

Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

The degrees of freedom for a chi-square test applied to a cross-tabulation with 5 rows and 2 columns is equal to 6

The given parameters are:

Rows = 5

Column = 2

The degrees of freedom is then calculated as:

df = Rows + Column - 1

Substitute the known values in the above equation

df = 5 + 2 - 1

Evaluate the expression

df = 6

Hence, the degrees of freedom for a chi-square test applied to a cross-tabulation with 5 rows and 2 columns is equal to 6

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Answer:

z = -1

Step-by-step explanation:

3(z + 5) = 12

Step 1: Divide both sides by 3.

z + 5 = 4

Step 2: Subtract 5 from both sides.

z = -1