If the mean of five values is 64, find the sum of the values.​

Answer:

option a (-1,-1/2)

Step-by-step explanation:

apply mid point formula

Answer:

ACE = 80

Step-by-step explanation:

ACD and ACE form a straight line so they add to 180 degrees

ACD + ACE = 180

100 + ACE = 180

Subtract 100 from each side

100-100 + ACE = 180-100

ACE = 80

Answer and Step-by-step explanation:

We will begin to solve this problem by defining first what the sets' elements really are.

R consists of real numbers. This means that this set contains all the numbers, rational or not.

Z is composed of whole numbers. Integers include all negative and positive numbers as well as zero (it's basically a set of whole numbers and their negated values).

W, on the other hand, has 0,1,2, and its elements are onward. Those numbers are referred to as whole numbers.

W ⊂ Z is TRUE. Z contains all the numbers as stated earlier, and W is a subset of it.

R ⊂ W is FALSE. Not all numbers are complete numbers. Complete numbers must be rational and represented fractionless. These requirements are not met by those real numbers.

0 ∈ Z is TRUE.  Zero is just an integer so it is a component of Z.

∅ ⊂ R is TRUE. A set i.e null be R subset, and each and every set is a general set. Moreover, there were not single elements in a null set, so it spontaneous became a non empty set subset through description as there is no element of R.

{0,1,2,...} ⊆ W is TRUE. The set on the left is precisely what is specified in the statement for problem for W. (The bar below the subset symbol simply implies that the subset is not rigid, because the set on the left may be equal to the set on the right. Without it, the argument would be incorrect, because a strict subset needs that the two sets not be identical).

-2 ∈ W is FALSE. W's only made up of whole numbers and not their negated equivalents.

Answer:

the answer is the last option, c :8.

Answer:

4 categories are shown in rows.

2 categories are shown in columns.

12 14 year olds.

82 people were polled.

Answer:

9:20

Step-by-step explanation:

The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures.

If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)².

Therefore, (A/B )² = 9/16

square root both sides A/B = √9/√16 A/B = 3/4 A:B = 3:4

The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures.

Therefore, (B/C)³ = 27/125 cube root both sides B/C = 3/5 B:C = 3:5

To make the ratio equivalent A:B:C = 9:12:20

A:C = 9:20

P=2(a+b)

Hope it helps

Answer:

C on Edge. 2 (square root of 53) +10 units

Step-by-step explanation:

Answer:

B. -4

Step-by-step explanation:

Answer:

4x^3+x^2-1

Step-by-step explanation:

(3x^2-x^3)-(-5x^3+2x^2+1)

Distribute the minus sign

(3x^2-x^3)+5x^3-2x^2-1

Combine like terms

-x^3 +5x^3  + 3x^2 -2x^2 -1

4x^3+x^2-1

Answer:

your answer is [tex]4x^{3} + x^{2} -1[/tex].

Step-by-step explanation:

Answer:

8 and 9

Step-by-step explanation:

√64 = 8

√81 = 9

√74 falls inbetween those 2

Answer:

$6,259,057.84

Step-by-step explanation:

hello,

compounding continuously means that we have to multiply by

[tex]e^{0.0938*t}[/tex]

t is the number of years

so the account balance in 42 years is

[tex]57,500e^{0.0938*42}=6,259,057.84....\\[/tex]

so it gives

$6,259,057.84

hope this helps

Step-by-step explanation:

personal- 347 ÷ 809 = 0.43%

lap top- 398 ÷ 809 = 0.49%

printer- 64 ÷ 809 = 0.08%

Answer:

cooking ( mesurments )

gardening ( landscape )

designing ( art )

shopping for the best price ( aka money counting )

car rides ( figuring out distance and time )

sewing.

hope this helped :)

Step-by-step explanation:

Answer:

The population of interest is all the students at the University, to find their parking times.

Step-by-step explanation:

Sampling

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

Here, the population of interest is all New York state residents.

An administrator inconspicuously followed 250 students and carefully recorded their parking times.

Sample of 250 students at the University.

So the population of interest is all the students at the University, to find their parking times.

Answer: 44

Step-by-step explanation:

This is a confusing problem to look at, so use PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction).

5 * (-4) + (1 - (-3)^2)^2      simplify inside the parenthesis

5 * (-4) + (1 - 9)^2

5 * (-4) + (-8)^2                simplify exponents

5 * (-4) + 64                     multiply

-20 + 64                          finally, addition

44

Answer: -5, 6, and 9

Step-by-step explanation:

Step-by-step explanation:

least to greatest

-5 6 9

Answer:

11 and one-fourth

Step-by-step explanation:

The given expression can be rewritten as:

[tex](8+\frac{1}{2}) -2+(4+\frac{3}{4})[/tex]

1/2 can be written as 2/4.

Solving the expression grouping integers and fractions:

[tex](8+\frac{2}{4}) -2+(4+\frac{3}{4}) =\\8+4-2+(\frac{2}{4}+\frac{3}{4}) =\\10+\frac{5}{4}=\\ 11+\frac{1}{4}[/tex]

Therefore, the value of the given expression is 11 and one-fourth.

Answer:

11 and one fourth

Step-by-step explanation:

Answer:

Both piecewise functions have a linear portion and a quadratic portion.  The y-intercepts of both linear pieces are the same, 2.  The quadratics are both open upward, but have different y-intercepts (one at 1, one at 2).  The linear portion of the first function is decreasing, while the linear portion of the second function is increasing.

Step-by-step explanation:

Comparing and contrast of the functions are shown in below.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The given piecewise functions are;

⇒ f (x) = { - x + 2 ; x < 0

         = { x² + 1 ; x > 0

Now, Comparison and contrast of the above piecewise functions are,

The similarities are;

1) Both piecewise functions are linear when x < 0.

2) Both piecewise functions are quadratic when x > 0.

3) The magnitude the slope of the linear part both function are equal.

4) The leading coefficient of the quadratic function are the same.

5) The y-intercept of the linear function are equal, therefore, the linear functions in f(x) and g(x) intersect on the y-axis.

6) The domain of the linear and quadratic functions are the same.

The contrasts (differences) in the function are;

1) The slope of the linear function of g(x) is positive and the slope of the linear function of f(x) is negative.

2) The y-intercept of the quadratic function in f(x) is +1, while the y-intercept of the quadratic function in g(x) is +2.

3) The quadratic function in f(x) and g(x) have graphs that do not intersect.

Learn more about the function visit:

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Answer:

See the answers below. Thanks!

Step-by-step explanation:

(a). Option F is the correct choice. "There are two mutually exclusive outcomes, success or failure."

(b). P(X=15) = 0.1702

(c). P(X<15) = 0.0673

(d). P(X>=15) = 1 - P(X<15) = 0.9327

(e). P(13<=X<=15) = 0.1482

Best Regards!

Answer:

Let's simplify step-by-step.

[tex]4x^4-2x^3-(8x^4+3x^3+5x^2)[/tex]

Distribute the Negative Sign:

[tex]4x^4-2x^3+-1(8x^4)+-1(3x^3)+-1(5x^2)[/tex]

[tex]4x^4+-2x^3+-1(8x^4)+-1(3x^3)+-1(5x^2)[/tex]

[tex]4x^4+-2x^3+-8x^4+-3x^3+-5x^2[/tex]

Combine Like Terms:

[tex]4x^4+-2x^3+-8x^4+-3x^3+-5x^2[/tex]

[tex](4x^4+-8x^4)+(-2x^3+-3x^3)+(-5x^2)[/tex]

[tex]-4x^4+-5x^3+-5x^2[/tex]

Answer:

[tex]-4x^4-5x^3-5x^2[/tex]  This is the answer

I hope this help you :)

Answer: 4 units! Just took the test!

Step-by-step explanation:

The measure of length AX is,

⇒ AX = 4 units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Find the diagram attached. The diagram is a similar triangle.

Now, From the diagram,

⇒ XZ/XY = CA/AB

Given that;

XZ = 2x-2+2x-2

     = 4x-4

And, XY =5x-7

CA = 2x-2

AB= x+1

On substituting this parameters into the formula to get x first

4x-4/5x-7 = 2x-2/x+1

cross multiply

(4x-4)(x+1) = 5x-7(2x-2)

open the parenthesis

4x²+4x-4x-4 = 10x²-10x-14x+14

4x²-4 = 10x²-24x+14

10x²-4x²-24x+14+4 = 0

6x²-24x+18 = 0

x²-4x+3 = 0

x²-3x-x+3 = 0

x(x-3)-1(x-3)  =0

(x-3)(x-1) = 0

x = 3 and 1

And, Now to get length AX as;

⇒ AX = 2x-2

Substitute x = 3 into the expression,

AX = 2(3)-2

AX = 6-2

AX = 4 units

Hence, The measure of length AX is,

AX = 4 units

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Answer:

21°

Step-by-step explanation:

All angles in a triangle add up to 180°.

180 - 31 - 128

= 21

The measure of the third angle is 21°.

Answer:

1/12 of a dozen is 1

Step-by-step explanation:

One dozen means 12. If you ask for 1/12 of 12, you multiply 12 and 1/12. You should get 1 as your answer.

Answer:

The mean is  [tex]\mu = 2.1[/tex]

Step-by-step explanation:

The mean number of employees calling sick per day can  be mathematically represented as

       [tex]\mu = 0* 0.05 + 1 * 0.40 + 2 * 0.3 + 3 * 0.3 + 4*0.05[/tex]

      [tex]\mu = 2.1[/tex]

Answer:

U are finding the slope. so the vertical line is ur rise(x value) and the horizontal line is ur y value. Hopefully that helped

Answer:

Step-by-step explanation:

er

Answer:

x = 20

Step-by-step explanation:

4/2x - 10 =30

Divide 4/2.

2x - 10 =30

Add 10 to both sides.

2x = 30 + 10

2x = 40

Divide 2 into both sides.

2x/2 = 40/2

x = 20

Answer:

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question:

[tex]m = 0.5, \mu = \frac{1}{0.5} = 2[/tex]

What is the probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours?

[tex]P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4)[/tex]

In which

[tex]P(X \leq 1) = 1 - e^{-2} = 0.8647[/tex]

[tex]P(X \leq 0.4) = 1 - e^{-2*0.4} = 0.5507[/tex]

So

[tex]P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4) = 0.8647 - 0.5507 = 0.314[/tex]

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

Answer:

1.The distribution of the random digits is uniform

2.The distribution of the resulting sample are approximately normal

Step-by-step explanation:

1.Based on the information given Pollsters use randomly selected digits between 0 and 9 often in order to generate parts of telephone numbers to be called which means that the distribution of the randomly digits which was selected will be uniform reason been that there is an equal probability of selecting any of the numbers between 0 and 9.

2.The distribution of the resulting sample mean would be approximately normal reason been that the sample size is greater than 30.

Answer:

  A) linear

  B) y = x is linear; y = 1/x is non-linear

Step-by-step explanation:

A) The points lie on the same straight line, so the function is linear.

__

B) Any function that has x to a power other than 1 will be non-linear.

  linear function: y = x

  nonlinear function: y = x^-1 = 1/x

Answer:

The probability that a student arriving at the ATM will have to wait is 67%.

Step-by-step explanation:

This can be solved using the queueing theory models.

We have a mean rate of arrival of:

[tex]\lambda=1/3\,min^{-1}[/tex]

We have a service rate of:

[tex]\mu=1/2\,min^{-1}[/tex]

The probability that a student arriving at the ATM will have to wait is equal to 1 minus the probability of having 0 students in the ATM (idle ATM).

Then, the probability that a student arriving at the ATM will have to wait is equal to the utilization rate of the ATM.

The last can be calculated as:

[tex]P_{n>0}=\rho=\dfrac{\lambda}{\mu}=\dfrac{1/3}{1/2}=\dfrac{2}{3}=0.67[/tex]

Then, the probability that a student arriving at the ATM will have to wait is 67%.