i need help Hurry!!!

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 median would change the most

Step-by-step explanation:

The mode will not change, because the only duplicate number is 20

The mean will change from 53.22 to 55.2 when you put 73 into the set

and the median will change from 67 to 70 when you put 73 into it

Answer:

Median

Step-by-step explanation:

Mean:

Mean of 9 numbers = 477/9 = 53

Mean of 10 numbers = 550/10 = 55

Mode:

Mode for the set of 9 numbers: 20

Mode for the setof 10 numbers when 73 is included = 20

Median:

Set of 9 numbers:

10, 20, 20 , 32, 67, 74, 76, 84, 94

Median = 67

Set of 10 numbers:

10, 20, 20 , 32, 67, 73, 74, 76, 84, 94

Median = 67+73/2 = 140/2 = 70

Answer:

676,000 possible license plate

Step-by-step explanation:

Each letter has 26 possible values (from A to Z), and each digit has 10 possible values (from 0 to 9).

So to find the number of license plates we can have, we just need to multiply the number of possible values for each letter and each digit, We have 2 letters and 3 digits, so we have:

Number of plates = 26 * 26 * 10 * 10 * 10 = 676000

We have 676,000 possible licence plates in this state.

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:

8 and 9

Step-by-step explanation:

√64 = 8

√81 = 9

√74 falls inbetween those 2

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:

the answer is the last option, c :8.

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

Answer:

D. No comma because the total probability is not equal to 1.

Step-by-step explanation:

Given the distribution:

[tex]\left|\begin{array}{c|cccccc}x&0&1&2&3&4&5\\ P(x)&1/25&1/5&1/2&3/4& 1/50&1/100\end{array}\right|[/tex]

The sum of the probabilities

[tex]\sum P(x)=1/25+1/5+1/2+3/4+ 1/50+1/100\\\sum P(x) =1.52 \neq 1[/tex]

Therefore, the distribution is not a probability distribution because the total probability is not equal to 1.

The correct option is D.

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:

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:

https://brainly.com/question/11624077

#SPJ7

Answer:

4 categories are shown in rows.

2 categories are shown in columns.

12 14 year olds.

82 people were polled.

Answer:

408 widgets

Step-by-step explanation:

Data provided in the question

WP = Total number of widgets produced = 3,400 widgets

DP = Defective percentage = 12%

Based on the above information, the number of widgets that are defective is

[tex]= WP \times DP[/tex]

[tex]= 3,400\ widgets \times 12\%[/tex]

= 408 widgets

We simply multiplied the total number of widgets produced by the defective percentage so that the defective widgets could come

Answer:

The answers are B,D,F

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: H - 46

Step-by-step explanation:

Primeter = 2(l + w)

50 = 2{(3m+2) + (m-5)}

25 = 3m+2 +m -5

25 = 4m -3

m = 28/4 = 7

l = 3m+2 = 23 cm

w = m-5 = 2 cm

Area = l x b

= 23 x 2 = 46 sq. cm.

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:

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: 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:

option a (-1,-1/2)

Step-by-step explanation:

apply mid point formula

Answer:

the same

Step-by-step explanation:

Answer:

The two solutions can be +10 and -10

Step-by-step explanation:

b^2 - 100 = 0

b^2 = 100

Take the root of both sides

b = +- 10

b = +10 , b = -10

Answer:

The probability that a group of 15 randomly selected skiers will overload the gondola = (3.177 × 10⁻⁵¹)

(almost zero probability showing how almost impossible it is to overload the gondola, therefore showing how very safe the gondola is)

Step-by-step explanation:

Complete Question

A ski gondola carries skiers to the top of the mountain. If the Total weight of an adult skier and the equipment is normally distributed with mean 200 lb and standard deviation 40 lb.

Consider the ski gondola from Question 3. Suppose engineers decide to reduce the risk of an overload by reducing the passenger capacity to a maximum of 15 skiers. Assuming the maximum load limit remains at 5,000 lb, what is the probability that a group of 15 randomly selected skiers will overload the gondola.

Solution

For 15 people to exceed 5000 lb, each person is expected to exceed (5000/15) per skier.

Each skier is expected to exceed 333.333 lb weight.

Probability of one skier exceeding this limit = P(x > 333.333)

This becomes a normal distribution problem with mean = 200 lb, standard deviation = 40 lb

We first standardize 333.333 lbs

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (333.333 - 200)/40 = 3.33

To determine the required probability

P(x > 333.333) = P(z > 3.33)

We'll use data from the normal distribution table for these probabilities

P(x > 333.333) = P(z > 3.33) = 1 - P(z ≤ 3.33)

= 1 - 0.99957

= 0.00043

So, the probability that 15 people will now all be above this limit = (probability of one person exceeding the limit)¹⁵ = (0.00043)¹⁵

= (3.177 × 10⁻⁵¹)

(almost zero probability showing how almost impossible it is to overload the gondola, therefore showing how very safe the gondola is)

Hope this Helps!!!

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%.

Step-by-step explanation:

personal- 347 ÷ 809 = 0.43%

lap top- 398 ÷ 809 = 0.49%

printer- 64 ÷ 809 = 0.08%

Answer: -5, 6, and 9

Step-by-step explanation:

Step-by-step explanation:

least to greatest

-5 6 9

Answer:

[tex](a) f(g(x)) = x\\(b) g(f(x)) = x[/tex]

(c) Yes, the functions f and g are inverses of each other.

Step-by-step explanation:

Given the functions:

[tex]f(x) = -9x+3\\g(x) = -\dfrac{1}{9}(x-3)[/tex]

(a) [tex]f(g(x))=?[/tex]

[tex]put\ x = -\dfrac{1}{9}(x-3)\ in\ (-9x+3):[/tex]

[tex]f(g(x))= -9(-\dfrac{1}{9}(x-3)) +3\\\Rightarrow (-\dfrac{-9}{9}(x-3)) +3\\\Rightarrow (\dfrac{9}{9}(x-3)) +3\\\Rightarrow 1(x-3) +3\\\Rightarrow x-3 +3\\\Rightarrow x\\\Rightarrow f(g(x) )=x[/tex]

(b) [tex]g(f(x))=?[/tex]

[tex]put\ x = (-9x+3)\ in\ -\dfrac{1}{9}(x-3):[/tex]

[tex]f(g(x))= (-\dfrac{1}{9}((-9x+3)-3))\\\Rightarrow (-\dfrac{1}{9}(-9x+3-3))\\\Rightarrow (-\dfrac{1}{9}(-9x))\\\Rightarrow (-\dfrac{-9}{9}x)\\\Rightarrow g(f(x))=x[/tex]

(c) Yes, f and g are the inverse functions of each other.

As per the property of inverse function:

If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex] then:

[tex]f(f^{-1}(x)) = x[/tex]

And here, we have the following as true:

[tex]f(g(x)) = x\\ g(f(x)) = x[/tex]

[tex]\therefore[/tex] f and g are inverse functions of each other.

Answer:

86.47% probability that there is at least one hit in a 30-second period

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Mean rate of four hits per minute.

This means that [tex]\mu = 4n[/tex], in which n is the number of minutes.

What is the probability that there is at least one hit in a 30-second period

30 seconds is 0.5 minutes, so [tex]\mu = 4*0.5 = 2[/tex]

Either the site doesn't get a hit during this period, or it does. The sum of the probabilities of these events is 1. So

[tex]P(X = 0) + P(X \geq 1) = 1[/tex]

We want [tex]P(X \geq 1)[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1353 = 0.8647[/tex]

86.47% probability that there is at least one hit in a 30-second period

Answer:

B. -4

Step-by-step explanation:

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 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.