true or false: if a data set is approximately normally distributed, its normal probability plot would be s-shaped.

Answer:

Each triangle are acute.  

Step-by-step explanation:

Obtuse-an angle that is bigger than 90 degrees

Acute-an angle that is smaller than 90 degrees

Right triangle-an angle that is 90 degrees

Answer:

B

Step-by-step explanation:

Given the 2 equations

y = 2x + 6 → (1)

y = x + 2 → (2)

Substitute y = 2x + 6 into (2)

2x + 6 = x + 2 ( subtract x from both sides )

x + 6 = 2 ( subtract 6 from both sides )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4 + 2 = - 2

solution is (- 4, - 2 ) → B

We have shown that E(Z) = E(X) + E(Y) for nonnegative random variables X and Y.

The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.

To show that E(Z) = E(X) + E(Y), we need to use the definition of the expected value of a random variable and some properties of max function.

The expected value of a random variable X is defined as E(X) = ∑x P(X = x), where the sum is taken over all possible values of X.

Now, let's consider the random variable Z = max(X, Y). The probability that Z is less than or equal to some number z is the same as the probability that both X and Y are less than or equal to z. In other words, P(Z ≤ z) = P(X ≤ z and Y ≤ z).

Using the fact that X and Y are nonnegative, we can write:

P(Z ≤ z) = P(max(X,Y) ≤ z) = P(X ≤ z and Y ≤ z)

Now, we can apply the distributive property of probability:

P(Z ≤ z) = P(X ≤ z)P(Y ≤ z)

Differentiating both sides of the above equation with respect to z yields:

d/dz P(Z ≤ z) = d/dz [P(X ≤ z)P(Y ≤ z)]

P(Z = z) = P(X ≤ z) d/dz P(Y ≤ z) + P(Y ≤ z) d/dz P(X ≤ z)

Since X and Y are nonnegative, we have d/dz P(X ≤ z) = P(X = z) and d/dz P(Y ≤ z) = P(Y = z). Therefore, we can simplify the above expression as:

P(Z = z) = P(X = z) P(Y ≤ z) + P(Y = z) P(X ≤ z)

Now, we can calculate the expected value of Z as:

E(Z) = ∑z z P(Z = z)

    = ∑z z [P(X = z) P(Y ≤ z) + P(Y = z) P(X ≤ z)]

    = ∑z z P(X = z) P(Y ≤ z) + ∑z z P(Y = z) P(X ≤ z)

Since X and Y are nonnegative, we have:

∑z z P(X = z) P(Y ≤ z) = E(X) P(Y ≤ Z) and

∑z z P(Y = z) P(X ≤ z) = E(Y) P(X ≤ Z)

Substituting these values in the expression for E(Z) above, we get:

E(Z) = E(X) P(Y ≤ Z) + E(Y) P(X ≤ Z)

Finally, we note that P(Y ≤ Z) = P(X ≤ Z) = 1, since Z is defined as the maximum of X and Y. Therefore, we can simplify the above expression as:

E(Z) = E(X) + E(Y)

Thus, we have shown that E(Z) = E(X) + E(Y) for nonnegative random variables X and Y.

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Answer: 3 quarts and 14 ounces

Step-by-step explanation:

1 gallon = 4 quarts = 128 ounces,

1 quart = 2 pints,

1 pint = 16 ounces.

Therefore:

5 gallons - ( 4 gallons 1 pint 2 ounces ) =

= 5 * 128 - ( 4 * 128 + 1 * 16 + 2 ) = 640 ounces - 530 ounces = 110 ounces

110 ounces = 3 * 32 + 14

Answer:

£113.1

Step-by-step explanation:

The price of an iPod is reduced in a sale from £200 to £145.

The price of the iPod is further decreased by 22% two months later. Find the new price.

The above question is solved below:

We are to find the new price.

The percentage decrease = 22%

Hence:

£ 145 × 22% = £31.9

The new price is:

£145 − £31.9 = £113.1

Answer:

Any value you choose for x will make the equation a TRUE statement. This type of equation is called an identity, and the solution set is all real numbers.

An identity is an equation that, regardless of the values used, is always true.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

An identity is an equation that, regardless of the values used, is always true.

For the linear equation y = mx + c, all the values of the variable x are real numbers because the quadratic function is defined.

For the quadratic equation y = (x - h)² + k, all the values of the variable x are real numbers because the quadratic function is defined.

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Answer:

c. 5/2

Step-by-step explanation:

Answer:

x = 4, y = 5.

Step-by-step explanation:

4x-2=3y-1

y+3=3x-4

Rearranging:

4x - 3y =  1       (A)

-3x + y = -7      (B)

Multiply  B by 3:

-9x + 3y = -21   (C)
Adding A and C:

-5x = -20

x = 4

Substitute for x in equation A:

4(4) - 3y = 1

3y = 15

y = 5.

Step-by-step explanation:

The area A of a rectangle is given by multiplying its length and width. In this case, the length is 7x - 1 units and the width is 2x + 3 units. Therefore, the area of the rectangle is:

A = (7x - 1)(2x + 3)

= 14x^2 + 19x - 3

Hence, the area of the rectangle is 14x^2 + 19x - 3 square units.

Answer:

14x^2+19x-3

Step-by-step explanation:

you have to times them together so

(7x-1)(2x+3)

14x^2+21x-2x-3

=14x^2+19x-3

The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.

A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.

2/5 = (2 × 2) / (5 × 2) = 4/10

Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.

The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.

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After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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Answer:

57

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Question:

What is the length of the rectangle?

Information:

A rectangle has an area of 84 square feet and a width of 7 feet.

Answer:

Step-by-step explanation:

84/7 = 12

Answer:

(3(3) × 3(4) ) ÷ 3(2)

(9 × 12) ÷ 6

108 ÷ 6

18

Emmett will have $99.225 in 2 years.

Compound interest is the interest on savings which is calculated on both the principle amount and accumulated interest from various period of time.

Emmett deposited principle amount, p=$90

Rate of interest , r=5%

Interest is compounded annually, n=1

Time period, t=2

Amount after two years,\(A = p(1+\frac{r}{n}) ^{n*t}\)

\(A=90(1+\frac{0.05}{1} )^{1*2}\)

\(A=90(1.05 )^{2}\)

A= $99.225

Hence, Emmett will have $99.225 in 2 years.

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a) It is false that Quantitative variables may take on values that are labels or names; b) It is true that If we flip a coin ten times, the number of tails that occur is a discrete variable c) It is false that median is a good indicator of the most typical value if a sample set has outliers; d) True ;  e) False

a. False.  Quantitative variables cannot take on values that are labels or names. Quantitative variables are the variables that can be measured numerically, and it can be a discrete or continuous variable.

b. True.  The number of tails that occur from flipping a coin ten times is a discrete variable because it can only take on specific values (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10).

c. False. The median is not a good indicator of the most typical value if a sample set has outliers because outliers can skew the distribution and cause the median to be an atypical value. In this case, the mode is a better measure of the central tendency of the data.

d. True. Variability of data sample can be described by its spread and the spread of a data sample can be measured by range, interquartile range, variance, or standard deviation.

e. False. An Ogive shows cumulative frequency and does not always overlay a Pareto Chart. A Pareto Chart shows the relative frequency or count of values in descending order, and the Ogive is a curve that represents the cumulative frequency of a data set plotted against the upper class limit.

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By applying the Pythagorean theorem, the Law of Cosines, and the Law of Sines, we have successfully solved triangle ABC.

We found the measures of its angles:

A ≈ 23.58 degrees, B ≈ 27.63 degrees, and C ≈ 128.79 degrees.

To do this, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Let's apply this theorem to your triangle:

a² + b² = c²

Substituting the given values, we have:

5² + 8² = 12²

25 + 64 = 144

89 ≠ 144

Since 89 is not equal to 144, we can conclude that triangle ABC is not a right-angled triangle.

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. The formula is as follows:

c² = a² + b² - 2ab * cos(C)

In this formula, C represents the angle opposite side c.

Substituting the given values, we have:

12² = 5² + 8² - 2 * 5 * 8 * cos(C)

144 = 25 + 64 - 80 * cos(C)

144 = 89 - 80 * cos(C)

Rearranging the equation, we get:

80 * cos(C) = 89 - 144 80 * cos(C) = -55

Now, divide both sides of the equation by 80:

cos(C) = -55/80

Using a calculator, find the inverse cosine (cos^(-1)) of -55/80 to get the measure of angle C. Let's assume it is approximately 128.79 degrees.

The formula is as follows:

a/sin(A) = b/sin(B) = c/sin(C)

Substituting the given values, we have:

5/sin(A) = 8/sin(B) = 12/sin(128.79)

We can use this equation to find the measures of angles A and B. Cross-multiplying, we get:

sin(A) = 5 * sin(128.79) / 12 sin(B) = 8 * sin(128.79) / 12

Using a calculator, find the inverse sine (sin^(-1)) of the above expressions to get the measures of angles A and B. Let's assume they are approximately 23.58 degrees and 27.63 degrees, respectively.

Check the validity of the solution Finally, we need to check if the measures of angles A, B, and C add up to 180 degrees, as this is a property of triangles. Let's calculate the sum:

A + B + C = 23.58 + 27.63 + 128.79

A + B + C ≈ 180

Since the sum is approximately 180 degrees, we can conclude that our solution is valid.

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Complete Question:

How do you solve the triangle ABC given a = 5, b = 8, c = 12?

The measures of its angles: A ≈ 23.58 degrees, B ≈ 27.63 degrees, and C ≈ 128.79 degrees By applying the Pythagorean theorem, the Law of Cosines, and the Law of Sines, we have successfully solved triangle ABC.

To do this, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's apply this theorem to your triangle:

a² + b² = c²

Substituting the given values, we have:

5² + 8² = 12²

25 + 64 = 144

89 ≠ 144

Since 89 is not equal to 144, we can conclude that triangle ABC is not a right-angled triangle.

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. The formula is as follows:

c² = a² + b² - 2ab * cos(C)

In this formula, C represents the angle opposite side c.

Substituting the given values, we have:

12² = 5² + 8² - 2 * 5 * 8 * cos(C)

144 = 25 + 64 - 80 * cos(C)

144 = 89 - 80 * cos(C)

Rearranging the equation, we get:

80 * cos(C) = 89 - 144 80 * cos(C) = -55

Now, divide both sides of the equation by 80:

cos(C) = -55/80

Using a calculator, find the inverse cosine (cos^(-1)) of -55/80 to get the measure of angle C. Let's assume it is approximately 128.79 degrees.

The formula is as follows:

a/sin(A) = b/sin(B) = c/sin(C)

Substituting the given values, we have:

5/sin(A) = 8/sin(B) = 12/sin(128.79)

We can use this equation to find the measures of angles A and B. Cross-multiplying, we get:

sin(A) = 5 * sin(128.79) / 12 sin(B) = 8 * sin(128.79) / 12

Using a calculator, find the inverse sine (sin^(-1)) of the above expressions to get the measures of angles A and B. Let's assume they are approximately 23.58 degrees and 27.63 degrees, respectively.

Check the validity of the solution Finally, we need to check if the measures of angles A, B, and C add up to 180 degrees, as this is a property of triangles. Let's calculate the sum:

A + B + C = 23.58 + 27.63 + 128.79

A + B + C ≈ 180

Since the sum is approximately 180 degrees, we can conclude that our solution is valid.

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Answer:

g(1) = 1

Step-by-step explanation:

Since 1 ≠ -2  and  1 ≠ -1

Then we must use the expression:

g(x) = x³ - x² + 1  ,to calculate g(1).

Therefore

g(1) = (1)³ - (1)² + 1

     = 1 - 1 + 1

     = 0 + 1

     = 1

a) The regression model suggests that both within-store sales and online sales have a statistically significant impact on net profits.

b) A one-unit increase in within-store sales is estimated to result in an 0.0855 increase in net profits, while a one-unit increase in online sales is associated with a 0.1132 increase in net profits.

c) The 95% confidence interval for the marginal effect of online sales on net profits is approximately (0.1132 ± 0.0873).

d) Finally, if within-store sales are 1 million and online sales are 500,000 USD, the predicted mean net profits would be approximately 122,885 USD.

The presented linear regression model relates a company's net profits (y) to within-store sales (x1) and online sales (x2), with the equation yi = β0 + β1χ1i + β2χ2i + εi. The coefficients estimated in the regression are β0 = -20.2159, β1 = 0.0855, and β2 = 0.1132. The standard errors for β0, β1, and β2 are 0.2643, 0.0438, and 0.0385, respectively. The t-values for the coefficients indicate their significance, with all three coefficients being statistically significant at the 0.05 level.

a) The coefficient β1 (0.0855) represents the estimated change in net profits for a one-unit increase in within-store sales (x1), holding other variables constant. Similarly, the coefficient β2 (0.1132) represents the estimated change in net profits for a one-unit increase in online sales (x2), while keeping other variables constant.

b) The p-values for x1 (0.0181) and x2 (0.0220) are both less than 0.05, indicating that both variables are statistically significant in explaining the variation in net profits. In other words, the within-store sales and online sales have a significant impact on the net profits of the company.

c) To calculate the 95% confidence interval for the marginal effect of online sales (x2) on net profits (y), we need the standard error of β2, which is given as 0.0385. Assuming a sample size of n = 10 observations, we can use the t-distribution with 9 degrees of freedom (n-2) to calculate the confidence interval. Using a two-tailed test and a significance level of 0.05, the critical t-value is approximately 2.262. The margin of error is then 2.262 * 0.0385 = 0.0873. The confidence interval is given by the estimated coefficient (β2) ± margin of error, resulting in (0.1132 ± 0.0873).

d) To predict the mean net profits, given within-store sales of 1 million and online sales of 500,000 USD, we plug these values into the regression equation. Substituting x1 = 1000 and x2 = 500 into the equation, we get y = -20.2159 + 0.0855 * 1000 + 0.1132 * 500 = -20.2159 + 85.5 + 56.6 = 122.8851. Thus, the predicted mean net profits would be approximately 122,885 USD.

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Answer:

The average rate of change for the given function in the interval (-5, -1) is 0 (zero)

Step-by-step explanation:

The average rate of change of a function over an interval is the quotient between the difference between the function evaluated at the ends of the interval divided by the length of the interval. That is for our case:

the average rte of change of h(t) in the interval (-5, -1) is:

\(\frac{h(-1)-h(-5)}{-1+5}\)

so we find:

\(h(-1)=(-1+3)^2+5=2^2+5=4+5=9\\and\\h(-5)=(-5+3)^2+5=(-2)^2+5=4+5=9\)

then the average rate of change becomes:

\(\frac{h(-1)-h(-5)}{-1+5}=\frac{9-9}{4} =\frac{0}{4} =0\)

After the addition of the given expression (x + 9) + (2x + 3), the resultant answer is 3x + 12.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.

An example is the expression x + y, which combines the terms x and y with an addition operator.

In mathematics, there are two different types of expressions: algebraic expressions, which also include variables, and numerical expressions, which solely comprise numbers.

So, we have the expression:

(x + 9) + (2x + 3)

Now, perform the addition as follows:

(x + 9) + (2x + 3)

x + 9 + 2x + 3

3x + 12

Therefore, after the addition of the given expression (x + 9) + (2x + 3), the resultant answer is 3x + 12.

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Complete question:

Find the sum of the given expression.

(x + 9) + (2x + 3)

In a soccer league the probability of playing against an in-state team is "0.6".

Given details:

Total no. of teams = 10

Total no. of in- state teams = 6

Total no. of out of  state teams = 4.

The probability of playing against an in - state team is :

Probability = ( Number of favourable cases / Total outcomes).

= 6/10

= 0.6.

Therefore, the probability of playing against an in-state team is "0.6".

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Answer:

Jeremy did not make a good inference. The ratio is not in proportion to 2/15. The correct inference would be about 26 students who did not read any books in July. The sample might be biased since it was limited to those at the pool.

Step-by-step explanation:

Answer:

he did not make a good inference

Step-by-step explanation:

did it on edge

The probability that the insurance company needs to pay on a claim they receive, i.e., the cost of a claim exceeds the deductible of $500, is approximately 83.33%.

In this scenario, the losses from claims on the policy are assumed to follow an exponential distribution with a mean of $3000. The exponential distribution is commonly used to model continuous random variables with a constant hazard rate. In this case, the hazard rate is determined by the mean of $3000.

To find the probability that the cost of a claim exceeds the $500 deductible, we need to calculate the cumulative probability of the exponential distribution beyond the deductible amount. Since the exponential distribution is memoryless, we can consider the deductible as a starting point and calculate the probability of the claim exceeding that amount.

Using the exponential distribution's probability density function (PDF), we can determine the probability of a claim exceeding the deductible. The PDF for an exponential distribution with rate parameter A is given by f(x) = A * exp(-A * x), where x is the claim amount.

Integrating the PDF from the deductible amount ($500) to infinity will give us the probability that the cost of a claim exceeds the deductible. However, in this case, we can simplify the calculation since we know the mean of the exponential distribution is $3000. The probability of a claim exceeding the deductible can be approximated as the ratio of the mean loss exceeding the deductible to the mean loss overall, which is (3000 - 500) / 3000 = 0.8333 or 83.33%.

Therefore, the probability that the insurance company needs to pay on a claim they receive, i.e., the cost of a claim exceeds the deductible of $500, is approximately 83.33%.

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Answer:

-30

Step-by-step explanation:

multiply 5*6 =30

since you are working with only one negative number the answer is also negative

Answer:

Step-by-step explanation:

2x - y = -8

3x + y = -2

5x = -10

x = -2

3(-2) + y = -2

-6 + y = -2

y = 4

(-2, 4)

Answer: (-2, 4)

Good luck!

The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

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