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For a large sample size (greater than 30), distribution is normal.

An insurance company claims that in the population of homeowners, the mean loss and standard deviation from fire is

μ = $250

o = $5000

The distribution of loss is strongly right skewed.

a). Since for a simple random sample of size n= 15 drawn from  the population of homeowners.

Since the given sample size is small. Therefore for small sample size less the 30 the distribution of

follow t- distribution.

Since t distribution has more variance than normal distribution.

Also t- distribution is symmetric as normal distribution at t=0.

For small sample size sampling distribution is t -distribution.

b). Now if the simple random sample of size n = 10000 drawn from the population of homeowners.

Thus for the large sample size and given mean and standard deviation sampling distribution of x follow normal distribution. Also we know that normal distribution have a bell-shaped curve which is symmetric to z=0.

For a large sample size (greater than 30), distribution is normal.

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Answer:

i think it's malik

Step-by-step explanation:

i took the test and passed

Answer:

Malik

Step-by-step explanation:

when you subtract three from both sides it says that -3 is greater than or equal to the absolute value of 6x. And an absolute value can never be less than or equal to a negative number smh Elise, Jake, and Xiao.

Right Triangles

The right triangle given in the figure has two given sides of 6 and 8 units respectively.

It's important to identify them as the hypotenuse or one of the legs.

As a rule, the longest side (or the side opposite to the right angle) is the hypotenuse, which measures 8 units.

The other two sides are the legs, one of which measures 6 units.

The required angle (marked as ?) is adjacent to the leg of 6 units.

The only trigonometric ratio that relates the adjacent side of a triangle with the hypotenuse of the triangle is the COSINE.

Now we calculate the measure of the required angle (we'll call it x):

The angle can be calculated by using the inverse cosine function:

Using a scientific calculator:

x = 41.41°

Rounding to the nearest degree:

x = 41°

The average rate of change of the function f(x) on the interval−6≤x≤2 is  -0.5

This is further explained below.

Generally, The average rate of reaction is referred to as the change in concentration of any of the reactants or any of the products per unit of time during a specific period of time. This change may occur at any point throughout the reaction.

A single rate is applicable to property that is located in more than one place and that is calculated by weighting the separate rates that are calculated for each location.

In conclusion, The average rate of change on x e(a, b)

\(\begin{aligned}m &=\frac{f(b)-f(a)}{b-a} \\\\m &=\frac{f(2)-f(-6)}{2-(-6)} \\\\&=\frac{2-(-(-6))}{8}=\frac{6}{2} \\\\=-0.5\\\\\end{aligned}\)

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114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Answer:

She will owe $180 of interest after one year.

She will owe $720 of interest after four years.

She will need to pay the bank $3,720 to completely pay off the loan.

Step-by-step explanation:

The maximum number of poles required to drive the load is 8.

full load speed = 120*f/p

850 = 120*60/p

p = 120*60/850

p = 8.47

since no. of poles are even so

p = 8

if number pole p = 8

synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM

SLIP = (Ns - N)/Ns

s = (900-850)/900

s = 0.056

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The mean absolute deviation of the set of numbers 2, 3, 3, 6, and 1 is 1.2.

What is the mean absolute deviation?

Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. Similar to standard deviation, MAD is a parameter or statistic that measures the spread, or variation, in your data.

To find the mean absolute deviation of a set of numbers, we first need to find the mean of the set. The mean is the sum of the numbers divided by the total number of numbers. For the set of numbers 2, 3, 3, 6, 1, the mean is:

mean = (2 + 3 + 3 + 6 + 1) / 5

= 15 / 5

= 3

Next, we need to find the absolute deviation of each number in the set from the mean. The absolute deviation is the absolute value of the difference between the number and the mean. For each number in the set, we calculate the absolute deviation as follows:

|2 - 3| = 1

|3 - 3| = 0

|3 - 3| = 0

|6 - 3| = 3

|1 - 3| = 2

To find the mean absolute deviation, we take the average of the absolute deviations. We add up the absolute deviations and divide by the total number of numbers in the set:

mean absolute deviation = (1 + 0 + 0 + 3 + 2) / 5

= 6 / 5

= 1.2

Therefore, the mean absolute deviation of the set of numbers 2, 3, 3, 6, and 1 is 1.2.

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The inequality statement 7.745966… < √59 is true.

The symbol √59 represents the square root of 59, which is approximately 7.681146. The value 7.745966… is a decimal representation of the square root of 59 that has been rounded to three decimal places. Because 7.681146 is less than 7.745966, the inequality statement 7.745966… < √59 is true.

Answer:

NO

Step-by-step explanation:

Answer:

Below in picture

I hope it helps.

The volume of the cone is 12π or 37.70 cm²

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Given data ,

Let the volume of the cone be represented as V

Now , the equation will be

Let the length of the cone be S = 5 cm

Let the height of the cone be = H

Let the radius of the cone be R = 3 cm

From the Pythagoras theorem , S² = H² + R²

So, substituting the values in the equation , we get

Height of the cone H = √5² - 3²

Height of the cone H = √25 - 9

Height of the cone H = √16

Height of the cone H = 4 cm

Now , the volume of the cone = ( 1/3 ) πR²H

Substituting the values in the equation , we get

Volume of the cone V = ( 1/3 ) x π x ( 3 )² x 4

On simplifying the equation , we get

Volume of the cone V = 3 x 4 x π

Volume of the cone V = 12 π

Volume of the cone V = 37.70 cm²

Therefore , the value of V is 37.70 cm²

Hence , the volume of cone is 12π or 37.70 cm²

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Answer:

D 5 5 it has to be the answer

Answer:

in my thought 4isthe answer

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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Answer:

y= -1x +1

Step-by-step explanation:

Answer:

\( f(t) = 13,500(0.89)^t \)

Step-by-step explanation:

The formula for the exponential function is given as \( f(t) = a(b)^t \)

Where,

base value = a = $13,500

b = 1 - % decrease = 1 - 11% = 1 - 0.11

b = 0.89

Substitute the values of a and b into the exponential function, \( f(t) = a(b)^t \), respectively.

Thus:

\( f(t) = 13,500(0.89)^t \)

The LCM of 1-x^2 and (x-1)^3 is (x-1)^3.

To find the LCM, we take the polynomial with the highest degree (which determines the degree of the LCM) and then make sure that it contains all the terms from the other polynomials.

The degree of (x-1)^3 is 3 and the degree of 1-x^2 is 2.

So, we take (x-1)^3 as the starting point for the LCM and then add any missing terms from 1-x^2.

In this case, (x-1)^3 already contains all the terms from 1-x^2, so the LCM is (x-1)^3.

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Step-by-step explanation:

the area of a parallelogram is

baseline × height = 5 × 3.2 = 16 m²

Answer:

25% and 75%

Step-by-step explanation:

15+45=60

girl =  \(\frac{15}{60} *100\) = 25%

boy = \(\frac{45}{60} *100\) = 75%

it appears that the distribution of salaries for entry-level accountants after five years is generally higher at Corporation B compared to Corporation A, with more variability in salaries.

Variability refers to the degree to which data points in a set differ from each other. It is a measure of how spread out a set of data is. Variability is important in statistics because it provides information about the distribution of the data and the degree of precision or accuracy of a measurement. Common measures of variability include range, variance, and standard deviation.

In the given question,

Looking at the boxplots, we can see that the median (represented by the line inside the box) for Corporation A is around $50,000, while for Corporation B it is around $60,000. This suggests that, on average, the entry-level accountants at Corporation B are earning higher salaries after five years compared to those at Corporation A.

We can also see that the range of salaries for Corporation A is between $30,000 and $70,000, while for Corporation B it is between $40,000 and $80,000. This suggests that there is more variability in the salaries of the entry-level accountants at Corporation B compared to those at Corporation A.

Additionally, the boxplot for Corporation A appears to be more symmetrical, while the boxplot for Corporation B is skewed to the right, indicating that there may be some entry-level accountants at Corporation B who are earning very high salaries after five years. Overall, it appears that the distribution of salaries for entry-level accountants after five years is generally higher at Corporation B compared to Corporation A, with more variability in salaries.

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Answer:

\(23y(2 + 4) = 23y(6) = 138y\)

Answer:

x = 11

Step-by-step explanation:

I hope this helps!

Answer:

a = 14

Step-by-step explanation:

The angles share a common side terminal side, so they are supplementary angles. This also means they add up to 180º.

8a + (5a - 2) = 180

Combine like terms.

13a - 2 = 180

13a = 182

Divide both sides by 13.

a = 14

This is your answer.

Check your work by plugging "a" back into the original equation.

8a + (5a - 2) = 180

8(14) + [5(14) - 2] = 180

112 + (70 - 2) = 180

112 + 68 = 180

180 = 180

Your answer is correct.

Hope this helps!

The graph shows that Rose's savings account balance increases by $20 each month.

The balance of her account after m months is 20m dollars. We want to find an inequality that shows when 20m>160, or when m>8.

Therefore, the inequality that shows when Rose will have more than 160 dollars in her savings account is m>8.

Here is a table of values that shows that Rose will have more than 160 dollars in her savings account after 8 months:

Month | Balance

------- | --------

1 | 20

2 | 40

3 | 60

4 | 80

5 | 100

6 | 120

7 | 140

8 | 160

In conclusion, the graph shows that Rose's savings account balance increases by $20 each month.

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