Given the standard normal distribution find (2 pts. each): a. The area under the curve between z=0 and z=1.43 b. P(z≥0.55) c. P(z<−2.33) d. P(z<2.33) e. P(−2.58≤z≤2.58)

Answer:

h. 182.4

l. 2.5

Step-by-step explanation:

For h, cross multiply 12 and 15.2 we get 182.4

For l, Keep 1/2 to other side and we multiply 5 and 1/2.

Hope it helps :)

Answer:

H) 182.4        I) 5/2

Step-by-step explanation:

See attached - hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

100 on edge test

ANSWERS

(a) Table:

(b) For x ≥ 6, the table suggests that f(x) is sometimes less than g(x).

EXPLANATION

(a) To fill in this table, we have to substitute x with each value in the first column and solve,

Repeat this for all values of x and we have the table,

(b) Let's analyze the values obtained in the table:

• For x = 6, f(x) is ,less, than g(x).

• For x = 10, f(x) is ,less, than g(x).

• For x = 11, f(x) is greater than g(x).

• For x = 12, f(x) is greater than g(x).

Hence, the table suggests that for x ≥ 6, f(x) is sometimes less than g(x).

Answer:

i think its 350000

Step-by-step explanation:

hope it helps! :)

Answer:

D. \( \frac{{7}^{11} }{ {4}^{11} } \)

Step-by-step explanation:

\(( \frac{7}{4}) {}^{11} = \frac{7 {}^{11} }{4 {}^{11} }\)

Since we are multiplying an exponential number to a fraction the answer is going to be

\( \frac{7 {}^{11} }{4 {}^{11} } \)

Hope this helps ❤❤❤ ;)

Answer:

\(D. \frac{7^{11} }{4^{11} } \\\)

Step-by-step explanation:

Hello, I can help you with this

Let's remmber some propiertis of the fraction numbers and the potenciation

Let

\(a^{m} * a^{n}=a^{m+n}\\(a^{m})^{n}=a^{m*n}\\(\frac{a}{b})^{m}=\frac{a^{m} }{b^{m}}\)

Step 1

All you have to do is identify and use the formula

let

\((\frac{7}{4})^{11}\\ a=7\\b=4\\m=11\\so\\(\frac{7}{4})^{11}=\frac{7^{11} }{4^{11} } \\\)

so, the answer is D.

I hope it helps, have a nice day

Answer:

Yes, they both have a volume of 339.12 inches cubed.

Step-by-step explanation:

To calculate the volume of an oblique cylinder is very simple, we must multiply π (Pi = ~ 3.14) by the radius to the power of two and then multiply by the height. In this case the height forms a 90 degree angle from the opposite base to the position of the base, but outside of it.

Volume = π × Radius² × Height

The formula for the volume of a regular cylinder or an oblique cylinder is the same, if we imagine a stack of poker chips (forming a cylinder), even when we tilt the chips to one side (forming an oblique cylinder) the volume remains the same.

Now using this information, we must find the volumes of both cylinders.

For the oblique cylinder:
Given

Using the formula,

The volume would be 339.29 m³

Now solving for the other cylinder:

V=πr²h=π·32·12≈339.29201

Rounded, the answer would be 33.29 m³

This therefore proves that they both have the same volume.

Answer:

y=1/3x+-8

Step-by-step explanation:

I think

Since, a prime number is whole number higher than one that cannot be divided exactly by any other whole number than itself and one. No, there are many prime numbers.

A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number.

Complete numbers the range of numbers that includes zero and natural numbers. not a decimal or fraction.

Prime number 2,5,7,13, ......

so there are multiple prime numbers.

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Answer:

x² - 16x + 49 = 0

Step-by-step explanation:

If a polynomial has roots a and b, then the polynomial is (x - a)(x - b).

[x - (8 + √15)][x - (8 - √15)] = 0

[(x - 8) - √15][(x - 8) + √15] = 0

(x - 8)² - (√15)² = 0

x² - 16x + 64 - 15 = 0

x² - 16x + 49 = 0

Given that X₁, X₂,..., X is a random sample from an exponential family with the following probability density function, f(x 0) = exp (0T(x) + d(0)+ S(x)).

To form the hypothesis for the exponential family, we need to consider the null and alternative hypothesis.

Null hypothesis: 0= 0

Alternative hypothesis: 0 ≠ 0

Explanation: The exponential family is a class of distribution families. The density of an exponential family is given by the following expression:

f(x|θ) = h(x) exp{θT(x) − A(θ)},

where h(x) is a nonnegative function of the data that does not depend on the parameter θ and A(θ) is a normalizing function.

The parameter θ is typically called the natural parameter, and T(x) is the vector of sufficient statistics. The exponential family of distributions includes the normal, exponential, chi-squared, gamma, and beta distributions, among others. In hypothesis testing for the exponential family, we typically specify a null hypothesis and an alternative hypothesis, just as in other types of hypothesis testing. The test statistic is usually a ratio of two likelihood ratios.

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The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).

To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:

Find the mean (average) of the data set.

Subtract the mean from each data point, obtaining the deviations.

Take the absolute value of each deviation.

Find the mean of the absolute deviations.

Given the household incomes for 10 different households:

38, 45, 76, 93, 50, 54, 29, 44, 62, 31

Let's calculate the MAD step by step:

Find the mean (average):

Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10

Mean = 482 / 10

Mean = 48.2

Calculate the deviations:

Deviation for each data point = Data point - Mean

Deviation for 38 = 38 - 48.2 = -10.2

Deviation for 45 = 45 - 48.2 = -3.2

Deviation for 76 = 76 - 48.2 = 27.8

Deviation for 93 = 93 - 48.2 = 44.8

Deviation for 50 = 50 - 48.2 = 1.8

Deviation for 54 = 54 - 48.2 = 5.8

Deviation for 29 = 29 - 48.2 = -19.2

Deviation for 44 = 44 - 48.2 = -4.2

Deviation for 62 = 62 - 48.2 = 13.8

Deviation for 31 = 31 - 48.2 = -17.2

Take the absolute value of each deviation:

Absolute deviation for each data point = |Deviation|

Absolute deviation for -10.2 = 10.2

Absolute deviation for -3.2 = 3.2

Absolute deviation for 27.8 = 27.8

Absolute deviation for 44.8 = 44.8

Absolute deviation for 1.8 = 1.8

Absolute deviation for 5.8 = 5.8

Absolute deviation for -19.2 = 19.2

Absolute deviation for -4.2 = 4.2

Absolute deviation for 13.8 = 13.8

Absolute deviation for -17.2 = 17.2

Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10

MAD = 148 / 10

MAD = 14.8

To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.

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The gender-similarities hypothesis suggests that males and females have more cognitive similarities than differences, as supported by research on intelligence, problem-solving, and memory abilities. This hypothesis challenges the traditional view of significant gender differences in these domains.

The gender-similarities hypothesis suggests that there are more similarities than differences between males and females in various psychological and cognitive domains. This hypothesis challenges the notion that men and women have fundamentally different abilities and characteristics.

One statement that accurately describes the gender-similarities hypothesis is: "Research shows that males and females tend to have more similarities than differences in cognitive abilities such as memory, problem-solving, and intelligence." To support this statement, research has consistently found that men and women perform similarly in tasks involving cognitive abilities. For example, studies have shown that both genders have similar average scores on intelligence tests, and there is no significant difference in problem-solving skills or memory capacity between males and females.

It's important to note that while there are average similarities, there can still be individual differences within each gender. Moreover, the gender-similarities hypothesis does not deny the existence of gender differences but suggests that these differences are relatively small compared to the similarities.In conclusion, the gender-similarities hypothesis suggests that males and females have more cognitive similarities than differences, as supported by research on intelligence, problem-solving, and memory abilities. This hypothesis challenges the traditional view of significant gender differences in these domains.

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Therefore, the total area of the region that satisfies the two inequalities is 14.5 square units.

The two inequalities given are:

y >= x

y <= |x - 3|

The region that satisfies both inequalities is the shaded area in the graph.

We can find the area of this region by splitting it into two parts: the triangle formed by the points (0, 0), (3, 0), and (3, 3), and the trapezoid formed by the points (3, 3), (2, 1), (-1, 3), and (-3, 3).

The area of the triangle is (1/2)33 = 4.5 square units.

To find the area of the trapezoid, we need to find the lengths of its two bases and its height. The height is the distance between the x-axis and the line y = |x - 3|. This line intersects the x-axis at x = 3 and at x = -1. At x = 3, the height is 0. At x = -1, the height is |-1 - 3| = 4. So the height of the trapezoid is 4 units.

The lengths of the two bases of the trapezoid are the distances between the y-axis and the lines x = 2 and x = -3. These distances are 2 and 3 units, respectively. So the area of the trapezoid is (1/2)*(2 + 3)*4 = 10 square units.

Therefore, the total area of the region that satisfies the two inequalities is 4.5 + 10 = 14.5 square units.

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Complete question:

How many square units are in the region satisfying the inequalities y>=(x) and y<=-(x)+3? Express your answer as a decimal. * the () are absolute value signs.

Answer:

The mode is 78, which appears the most times (3).

The mode of the given data 62, 78, 84, 62, 72, 78, 54, 60, 78, 80 is 78.

The mode is the data that occurs most frequently, in the data set listed below 62, 78, 84, 62, 72, 78, 54, 60, 78, 80. We can see that the number 78 appears three times, which is more than any other value in the set when we look at the data.

Note: If multiple values occur with the same highest frequency, but in this case, 78 is the only mode, the data set may have multiple modes.

Thus, the mode of 62, 78, 84, 62, 72, 78, 54, 60, 78, and 80 data set is 78.

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The slope of the line tangent to the graph of y = (10x) / (x - 3) at x = -2 is -30/25, which can also be simplified to -6/5 or -1.2.

To find the slope of the line tangent to the graph of y = (10x) / (x - 3) at x = -2, we'll follow these steps:

1. Find the derivative of the function y = (10x) / (x - 3).

2. Substitute x = -2 into the derivative to find the slope at that point.

Let's calculate the slope:

1. Finding the derivative of the function:

To find the derivative, we can use the quotient rule. Let u(x) = 10x and v(x) = x - 3.

The derivative of the function y = (10x) / (x - 3) is given by:

y' = [v(x) * u'(x) - u(x) * v'(x)] / (v(x))^2

Applying the quotient rule:

y' = [(x - 3) * (10) - (10x) * (1)] / (x - 3)^2

Expanding and simplifying:

y' = (10x - 30 - 10x) / (x^2 - 6x + 9)

y' = -30 / (x^2 - 6x + 9)

2. Substituting x = -2 into the derivative:

slope = y'(-2)

slope = -30 / [(-2)^2 - 6(-2) + 9]

slope = -30 / (4 + 12 + 9)

slope = -30 / 25

Therefore, the slope of the line tangent to the graph of y = (10x) / (x - 3) at x = -2 is -30/25, which can also be simplified to -6/5 or -1.2.

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Answer:

First, multiply 5 and 8. That equals 40. Then you take the square root of 40, which doesn't result in a whole number, so you factor 40 and removing perfect squares. In which case the answer would be 2√10

The differential equation that could be used to model the value of the laptop is dv/dt = -k * v, where k is negative.

In this equation, dv/dt represents the rate of change of the laptop's value with respect to time, and v represents the value of the laptop. The negative sign indicates that the value of the laptop decreases over time. The constant k is negative because it represents the proportionality constant between the rate of change and the value of the laptop.

To understand why k should be negative, let's examine the equation. Since the rate of change of the laptop's value is proportional to its value, we expect that as the value of the laptop decreases, the rate of change should also decrease. This is consistent with a negative value for k. If k were positive, the rate of change would increase as the value decreases, which would not be realistic in this context. Therefore, the differential equation dv/dt = -k * v, where k is negative, is the most suitable choice for modeling the value of the laptop over time.

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Answer:

Options (1), (2), (5) and (6) will be the answer.

Step-by-step explanation:

Option (1).

The medical students study for at least twelve years after high school.

m > 12

Incorrect.

Correct inequality should be,

m ≥ 12

Option (2).

The number of students in each class can be up to 25,

s ≥ 25

Incorrect.

Correct inequality will be,

s ≤ 25

Option (3).

A car gas tank holds up to  gallons of fuel.

g ≤

Correct.

Option (4).

As of 2017, the University of Michigan  football stadium, "The Big House" can seat up to 107601 fans,

s ≤ 107601

Correct.

Option (5).

The temperature was 90° or higher for the whole month,

t > 90

Incorrect.

Correct inequality will be t ≥ 90

Option (6).

The ideal candidate has at least five years of experience,

c ≤ 5

Incorrect.

Correct inequality will be,

c ≥ 5

Options (1), (2), (5) and (6) will be the answer.

The incorrect statements are;

Options (1), (2), (5) and (6).

Here,

We have to check incorrect representation of the statement.

What is Inequality?

A statement of an order relationship; greater than, greater than or equal to, less than, in between two number or expressions.

Now,

In Option (1).

The medical students study for at least twelve years after high school.

m > 12 is Incorrect.

And, Correct inequality will be, m ≥ 12

In Option (2).

The number of students in each class can be up to 25,

s ≥ 25 is Incorrect.

And, Correct inequality will be, s ≤ 25

In Option (3).

A car gas tank holds up to  gallons of fuel.

g ≤ 15 is Correct.

In Option (4).

As of 2017, the University of Michigan football stadium "The Big House". can seat up to 107601 fans,

s ≤ 107601 is Correct.

In Option (5).

The temperature was 90° or higher for the whole month,

t > 90 is Incorrect.

And, Correct inequality will be t ≥ 90

In Option (6);

The ideal candidate has at least five years of experience,

c ≤ 5 is Incorrect.

And, Correct inequality will be,

c ≥ 5

Therefore, The incorrect statements are;

Options (1), (2), (5) and (6).

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Statistics enables us to analyze data from fields like politics, medicine, finance, manufacturing, and sports, providing insights for decision-making and understanding real-life phenomena.

Statistics plays a crucial role in understanding and interpreting real-life phenomena. It provides a framework for collecting, analyzing, and interpreting data to gain insights and make informed decisions. Here are some examples of how statistics is related to real life:

Opinion Polls: Political parties and organizations conduct opinion polls to gather data on public opinion. By using statistical techniques to analyze the collected data, they can estimate the preferences of the population and make predictions about election outcomes.

Medical Research: Statistics is extensively used in medical research to analyze data from clinical trials. Researchers use statistical methods to determine the effectiveness of new treatments, identify potential side effects, and draw conclusions about the overall health outcomes.

Financial Analysis: In finance, statistical analysis is used to study market trends, assess investment risks, and make predictions about stock prices. Statistical models help investors and analysts make informed decisions by analyzing historical data and identifying patterns.

Quality Control: Industries use statistical methods to ensure the quality of their products. Statistical process control techniques monitor production processes, detect deviations, and make adjustments to maintain consistency and reduce defects.

Sports Analytics: Statistics is widely used in sports to analyze player performance, evaluate team strategies, and predict game outcomes. Metrics like batting averages, shooting percentages, and goal differentials are all derived from statistical analysis.

In summary, statistics is a vital tool in various aspects of real life, including politics, healthcare, finance, manufacturing, and sports. It helps in making evidence-based decisions, identifying trends and patterns, and understanding the underlying factors influencing outcomes.

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Note the complete and the correct question is

Q- With mathematical examples how can statistics be related to real life​ ?

The measure of side EF in triangle DEF is 5.34 units when angle D measures 40° and its adjacent side measures 7.6 units.

To get this answer, use the Pythagorean Theorem:

a2 + b2 = c2,

where a and b are the lengths of the sides adjacent to the right angle, and c is the length of the hypotenuse.

In this case, a = 7.6 and b = 5.34, so c = 8.93. Round this to the nearest hundredth and you get 5.34.

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two sides adjacent to the right angle is equal to the square of the hypotenuse.

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awnser:

m<3=50

Step-by-step explanation:

seen in the picture if you need help let me know

The integral ∫[0,1]∫[1,2] x^2 f(x, y) dy dx can be interpreted as the double integral over the region defined by the limits of integration: x ranging from 0 to 1 and y ranging from 1 to 2. To sketch this region, we can visualize a rectangular region in the xy-plane bounded by the lines x = 0, x = 1, y = 1, and y = 2.

Now, to change the order of integration, we need to swap the order of the integrals. Instead of integrating with respect to y first and then x, we will integrate with respect to x first and then y.

The new order of integration will be ∫[1,2]∫[0,1] x^2 f(x, y) dx dy. This means that we will integrate with respect to x over the interval [0,1], and for each value of x, we will integrate with respect to y over the interval [1,2].

Changing the order of integration can sometimes make the evaluation of the integral more convenient or allow us to use different techniques to solve it.

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Answer:

x=5

Step-by-step explanation:

3x+9=24

putting x=5

3(5)+9=24

15+9=24

24=24

statement x=5 makes the open sentence 3x+9=24 true.

Answer:

The correct answer is (d) 36 units.

Step-by-step explanation:

Just took the test on edge :)

The measure of UW is 36 units

From the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;

UV + VW = UW

Given the following

VW = 4 x + 10.

UW = 9x – 9

UV = 2x - 4

Substitute

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

-3x = -15

x = 5

UW = 9x - 9

UW = 45 - 9

UW = 36 units

Hence the measure of UW is 36 units

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Answer:

for an approximate result, divide the mass value by 28.35

so the answer is 1.058 ounces

30 grams of ounces would be 1.05822.

An ounce weighs 28 grams. A quarter ounce weighs 7 grams. A half ounce weighs 14 grams. One-eighth of an ounce weighs 3.5 grams. A gram is a unit of weight equal to one thousandth of a kilogram, whereas an ounce is a unit of mass equal to 28.35 grams.

In both the US and Imperial measurement systems, a measure of mass. An ounce is roughly the same weight as a slice of bread. 28.349523125 grams is the precise weight.

Everywhere that isn't metric, including the United States and a few other countries, uses ounces as the basic unit of mass. In actuality, 28.35 grams or such make up 1 ounce.

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The net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year, assuming that the firm has an opportunity cost of 15%, is $9,474.23.

NPV is a method used to determine the present value of cash flows that occur at different times.

The net present value (NPV) calculation considers both the inflows and outflows of cash in each year of the project. The NPV is then calculated by discounting each year's cash flows back to their present value using a discount rate that reflects the firm's cost of capital or opportunity cost.

A 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year has a total cash inflow of $50,000 ($2,000 × 25).

Summary: Thus, the net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year, assuming that the firm has an opportunity cost of 15%, is $9,474.23.

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Answer:

a + b = 7

Step-by-step explanation:

a^2 - b^2 = 21

Factor the left side. It is the difference of two squares which factors into the product of a sum and a difference.

(a + b)(a - b) = 21

We are told a - b = 3, so substitute 3 for the factor a - b.

(a + b)(3) = 21

Divide both sides by 3.

a + b = 7

This probability distribution indicates the likelihood of each fruit being chosen when selecting from the available options. It provides valuable information for analyzing the expected distribution of fruit choices among the office employees.

The probability distribution for the 30 pieces of fruit, in the order listed, can be determined by calculating the probability of each fruit being chosen based on the given information.

Let's calculate the probability distribution. We have five kinds of fruit: apples, bananas, lemons, oranges, and pears. The number of pieces for each fruit is as follows:

Apples: 3 pieces

Bananas: 5 pieces

Lemons: 10 pieces

Oranges: 8 pieces

Pears: 4 pieces

To find the probability of each fruit being chosen, we need to divide the number of pieces of each fruit by the total number of fruit options, which is the sum of all the pieces:

Total number of fruit options = 3 + 5 + 10 + 8 + 4 = 30

Now, we can calculate the probability for each fruit by dividing the number of pieces of that fruit by the total number of fruit options:

Probability of Apples: 3/30 = 0.1

Probability of Bananas: 5/30 ≈ 0.1667

Probability of Lemons: 10/30 = 0.3333

Probability of Oranges: 8/30 ≈ 0.2667

Probability of Pears: 4/30 ≈ 0.1333

Therefore, the probability distribution for the 30 pieces of fruit, in the order listed, is as follows:

Fruit | Number of pieces | Probability

Apples | 3 | 0.1

Bananas | 5 | 0.1667

Lemons | 10 | 0.3333

Oranges | 8 | 0.2667

Pears | 4 | 0.1333

This probability distribution indicates the likelihood of each fruit being chosen when selecting from the available options. It provides valuable information for analyzing the expected distribution of fruit choices among the office employees.

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Step-by-step explanation:

hmmm, did you mean, when

x + 1/x = 5

then

x² + 1/x² = ?

otherwise, we would need some information, how p and x are related somehow.

so, when

x + 1/x = 5

then

(x + 1/x)² = 5² = 25

x² + 1/x² + 2×x×1/x = 25

x² + 1/x² + 2 = 25

x² + 1/x² = 25 - 2 = 23

Answer:

g(p + 4) = [p² + 8p + 21 / 3p + 12]

Step-by-step explanation:

Function :

g(x) = (x² + 5) / 3x

Substitute x = p + 4 :

⇒ g(p + 4) = [(p + 4)² + 5] / 3(p + 4)

⇒ g(p + 4) = [p² + 8p + 16 + 5 / 3p + 12]

⇒ g(p + 4) = [p² + 8p + 21 / 3p + 12]