Clyde and mason each leave a rest area on the flordia turnpike. Clyde travels north and mason travels south. After 4 hr, Clyde has gone 248 mi and mason, who ran into heavy traffic, traveled only 184 mi. How far apart are they

Answer: 2fg

Step-by-step explanation:

Rewrite using the commutative property of multiplication = 2fg

The binomial is a unique type of discrete random variable. If ALL four of the following conditions are met, our experiment is a binomial experiment: it consists of n identical trials.

One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the likelihood of success, given by the symbol, stays constant. There are n independent trials. The binomial distribution is a probability distribution that summarizes the possibility that a value will take one of two independent values under a given set of parameters or assumptions, which means the result of each trial has no bearing on the results of the others. The fundamental presumptions of the binomial distribution are that there is only one possible result for each trial, that each trial has the same success probability, and that each trial is independent of the others or mutually exclusive.

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Answer: C

Step-by-step explanation:

g(7) = 7/8 (7)  - 1/2

g(7) = 6.125  - 1/2

g(7) = 5.625   OR in fraction form, 45/8

The answer is C

The increase in sales after 170% increase with the initial sales 3 million is

5,100,000 (5 million and 1 lakh or 51 lakh).

Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’. The abbreviations used to represent the percentage are ‘pct’ or ‘pc’. In other words, the percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.

We have to increase the value by 170%.

The value of the percentage increase = 170% × 3,000,000

The new value = 3,000,000 + The value of the percentage increase

The new value = 3,000,000 + The value of the percentage increase

=3,000,000 + (170% × 3,000,000) = 3,000,000 + 170% × 3,000,000

=(1 + 170%) × 3,000,000 = (100% + 170%) × 3,000,000

=270% × 3,000,000 = 270 ÷ 100 × 3,000,000

=270 × 3,000,000 ÷ 100 = 810,000,000 ÷ 100

=8,100,000 million.

The actual change = The new value - 3,000,000

=8,100,000 - 3,000,000

=5,100,000 million or 5.1 million.

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Answer:Your answer is 10.5

Step-by-step explanation:Multiply 3.5 by 3 and you get 10.5.

Answer:

4

Step-by-step explanation:

The statement 'The mode is the value of the observation that appears most frequently.' is True.

We know that, the mode is the most frequent number.

It is the number that occurs the highest number of times.

The observation occurring the most number of times or which has highest frequency is known as the mode.

For example,  in {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6 as it occurs most often.

There is no mode when all observed values appear the same number of times in a data set.

Therefore, the statement 'The mode is the value of the observation that appears most frequently.' is True.

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Answer: c

Step-by-step explanation: it is a rational number because it repeats

The solution to the given inequality is: F < -9/2.

The inequality is given by:

F + 2 and 1/2 < -2.

First we have to realize the conversion of the mixed number to fraction, as follows:

2 and 1/2 = 2 + 1/2 = 4/2 + 1/2 = 5/2

Hence the inequality is:

F + 5/2 < -2

F < -2 - 5/2

F < -4/2 - 5/2

F < -9/2.

The solution to the given inequality is: F < -9/2.

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Answer:

Step-by-step explanation:

5 x 2 = 10

Pretty sure this is right but I'm not 100 percent sure!

Answer: 10P ==> A

Step-by-step explanation:

5 · P · 2= 5 · 2 · P      ==> Commutative property of multiplication

5 · 2 · P=

10 · P=10P ==> A

Answer:

-x - 3y + 2

Step-by-step explanation:

sorry explain to long if you want it here a pic

The statement of Tamika  is correct.

Recall that we designate an angle as a place where two line meet. The magnitude of the angle could be measured by the use of a compass. A right angle triangle is a triangle that has an angle of ninety degrees as one of the angles.

Let us keep in mind that all the sides of a rectangle must have an angle of ninety degrees. This is because the sum of the angles in a rectangle must sum up to a total of three hundred and sixty degrees.

Having said that; when we consider the statements of the two persons and reason that if we have two right angled triangles, we could be able to make a rectangle because the four right angles that are required could be cut out of the two congruent right angled triangles. This implies that the statement of Tamika  is correct.

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Answer:

Step-by-step explanation:

Just divide four into sixteen. You should get x=4. To check, multiply 4 by 4 (4 x 4), and you should get 16.

Answer:

Hello,

Step-by-step explanation:

[tex]P(x)=6x^5-22x^2+11x-126\\\\P(2)= 6*2^5-22*2^2+11*2-126=0\\\\x-2\ is\ well\ a \ factor\ of\ P(x).\\\\\begin{array}{c|ccccccc}&x^5&x^4&x^3&x^2&x&1\\---&---&---&---&---&---&---\\&6&0&0&-22&11&-126\\x=2&&12&24&48&52&126\\---&---&---&---&---&---&---\\&6&12&24&26&63&0\end {array}\\\\P(x)=6x^5-22x^2+11x-126=(x-2)*(6x^4+12x^3+24x^2-26x+63)\\[/tex]

Answer:

6°

Step-by-step explanation:

It started at -2°f and increased b 8° so 2 of those degrees get you back to 0°f and the remains is 6 so 6°

Answer: 164 ft^2

Step-by-step explanation:

l=length. w=width. h=height. SA=surface area

SA=2(l*w)+2(l*h)+2(w*h)

SA=2(10*3)+2(10*4)+2(3*4)

SA=2(30)+2(40)+2(12)

SA=60+80+24

SA=140+24

SA=164 ft^2

The number of mandarin oranges one can buy for $9 is 48 oranges. It is calculated using basic arithmetic operations.

What are arithmetic operations?

Arithmetic operations are the basic mathematical operations which deal with simple calculations. It involves addition (+), subtraction (-), multiplication (×), and division (÷). Arithmetic operations can be used to combine two or more expressions in some or the other way.

Calculation of the number of mandarin oranges one can buy for $9

We are given that,

$6 = 4 pounds

Using arithematic operation division,

Dividing by 6 into both sides, we have,

$1 = 4 / 6 pounds

$1 = 2 / 3 pounds

Using arithematic operation multiplication,

Multiplying the above equation with 9 on both sides,

$9 = (2 / 3) * 9 pounds

$9 = 6 pounds              - - - - - (1)

According to the given question,

1 orange  weighs 2 ounces         - - - - -(2)

1 pound = 16 ounces                  

1 pound = 8 × (2 ounces)

Using equation 2,

1 pound = 8 oranges

Using equation 1,

$9 = 6 (8 oranges)

$9 = 48 oranges

Hence, one can buy 48 oranges for 9 dollars i.e. $9.

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Answer: seventy-eight million

Step-by-step explanation:

seventy eight million four thousand / setenta y ocho million cuatro mil

Answer:

Step-by-step explanation:

ygjhyjvnvbuh

The area of the frame is D. 252 in².

It should be noted that the frame 2 inches wide surrounds a painting that is 18 inches wide and 14 inches tall.

The area will be:

= Length × Width

= 18 × 14

= 252 in²

The area is 252 inches².

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Answer: 44%

Step-by-step explanation:

To find the percentage of students who do not travel by car, we first need to find the total number of students.

14 + 11 = 25

So out of the total of 25 students, 11 do not travel by car, so to find that percentage we will divide the number that do not travel by car by the total number.

11/25 = 0.44

We have the percentage as a decimal. To convert the decimal to a percent we multiply it by 100.

0.44 x 100 = 44%

Answer:

7/9

Step-by-step explanation:

Combine the two variables: 9p = 7

Then do 7 / 9

The probability of natural states after applying the Bayes theorem to modify the prior probabilities in light of available indicator data is known as the posterior probability.

The posterior probability is a type of conditional probability that is created by applying the Bayes theorem to update the prior probability with information that is summarized by the likelihood. From an epistemological standpoint, the posterior probability, given prior knowledge and a mathematical model describing the observations available at a specific time, contains all that is known about an uncertain proposition (such as a scientific hypothesis, or parameter values).  The present posterior probability may act as the prior in a subsequent round of Bayesian updating following the arrival of new data. The posterior probability distribution often expresses the epistemic uncertainty regarding statistical parameters conditional on a set of observed data in the context of Bayesian statistics.

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Answer:

can you put a better pic

Step-by-step explanation:

Answer:

the answer is D  (-2 + 4)

Step-by-step explanation:

the lower line shows -2 and the higher one shows +4

The probability of person being a heavy smoker given person died is 0.57 .

Baye's Theorem helps in finding the probability of any event A given that event B has already occurred.

For Example the probability of event A given that event B has already occurred is denoted by

[tex]P(A/B)=\frac{P(B/A)P(A)}{P(B)}[/tex]

In the given question

Let H denoted heavy smokers , L denote Light smokers , N denote Non smokers.

Given the probability of non smokers P(N) = 50%=0.5

the probability of light smokers P(L)=20%=0.2

the probability of heavy smokers P(H)=30%=0.3

let P(D/H) denoted the person died given he was a heavy smoker.

let P(D/L) denoted the person died given he was a light smoker.

let P(D/N) denoted the person died given that he was a non smoker.

According to question

"heavy smokers twice as likely to die as light smokers" means

P(D/H)=2P(D/L)......(1)

and "light smokers twice as likely to die as nonsmokers" means

P(D/L)=2P(D/N)

On simplifying we get

[tex]P(D/N)=\frac{1}{2} P(D/L)\\ \\ P(D/N)=0.5 P(D/L)[/tex].....(2)

According to Baye's Theorem

[tex]P(H/D)=\frac{P(D/H)P(H)}{P(D/N)P(N)+P(D/L)P(L)+P(D/H)P(H)}[/tex]

Substituting values of P(D/H) from ...(1) and values of P(D/N) from ....(2)

we get [tex]P(H/D)=\frac{2*P(D/L)P(H)}{0.5*P(D/L)P(N)+P(D/L)P(L)+2*P(D/L)P(H)}[/tex]

taking P(D/L) common from each term

[tex]P(H/D)=\frac{P(D/L)}{P(D/L)} (\frac{2*P(H)}{0.5*P(N)+P(L)+2*P(H)})[/tex]

[tex]P(H/D)= (\frac{2*P(H)}{0.5*P(N)+P(L)+2*P(H)})[/tex]

Substituting the values of P(N), P(H), P(L) from above we get

[tex]P(H/D)= (\frac{2*(0.3)}{0.5*(0.5)+(0.2)+2*(0.3)})[/tex]

[tex]P(H/D)= (\frac{0.6}{0.25+0.2+0.6})[/tex]

=[tex]\frac{0.6}{1.05}=0.57[/tex]

Therefore , the probability of person being a heavy smoker given person died is 0.57 .

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Answer:

B: All real numbers

Step-by-step explanation:

Check the attached image for explanation.

A description of the distribution of the values of a random variable and their associated probabilities is called a Probability Distribution.

Understanding the random variable and its probability is necessary for the analysis of complex random occurrences. The numerical result of a random process, which might be discrete or continuous in nature, is known as a random variable.

Now,

Hence, A description of the distribution of the values of a random variable and their associated probabilities is called a Probability Distribution.

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Bounded

Bounded function

In mathematics, a function f is referred to as being bounded if the set of its values is bounded and it is defined on a set X with real or complex values. In other words, there is a real number M such that for all x in X, displaystyle |f(x)|leq M|f(x)|le M. Unbounded functions are those that are not bounded. The function is said to be bounded (from) above by A if f is a real-valued function and f(x) A for all x in X. The function is said to be bounded (from) below by B if f(x) B for all x in X. If and only if it is bounded from above and below, a real-valued function is said to be bound.

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Answer:

Correct options are A) , B) , C) and D)

secA=

8

17

⇒cosA=

17

8

⇒sinA=±

17

15

cscB=

4

5

⇒sinB=

5

4

⇒cosB=±

5

3

Now cos(A+B)=cosAcosB−sinAsinB

⇒cos(A+B)=

17

8

.

4

5

−(±

17

15

.±

5

3

)=±

85

36

or ±

85

84

∴sec(A+B)=±

36

85

,±

84

85