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

Answers

Answer 1

Clyde and Mason are 432 mi apart from each other in distance.

We are given that:

Clyde and mason can each leave a rest area on the Florida turnpike.

Clyde travels north whereas Mason travels south.

After 4 hr., we get that Clyde has gone 248 mi and Mason, due to the heavy traffic he got , traveled only 184 mi.

We need to tell how far are they from each other.

We will do this by addition.

Distance = 248 mi + 184 mi

Distance = 432 mi.

Therefore, we get that, Clyde and Mason are 432 mi apart from each other in distance.

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Related Questions

2-2 logic geometry need the answers by today if available

Answers

Answer:

can you put a better pic

Step-by-step explanation:

eli uses the factor theorem to determine whether x−2 is a factor of 6x5−22x2 11x−126.how does he proceed to the correct answer?

Answers

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]

What is the value of 2|2-9|-3(5+2)2∣2−9∣−3(5+2) ? A. -35 B. -27 C. -18 D. -8 E. -7

Answers

Answer:

Step-by-step explanation:

ygjhyjvnvbuh

kjhbhyjg';pjpo jiou; mnhbgvdfhj9y fgxjibt f drztf  dd   hj bvg

The mode is the value of the observation that appears most frequently. true or false

Answers

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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4x = 16
Step by step please
Pre algebra

Answers

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.

4x = 16
Decide by 4 on each side cause it has the variable x
4x/4 = 16/4
4x decide by 4 is 0 so it will leave it with x
Then 16 divided by 4 is 4
So your answer will be x=4 :)

Evaluate this function please:
f(g(2))

Answers

Answer: 2fg

Step-by-step explanation:

Rewrite using the commutative property of multiplication = 2fg

The probability of the states of nature, after use of bayes' theorem to adjust the prior probabilities based on given indicator information, is called _____.

Answers

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.

What is 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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NEED THIS DONE ASAP !! PLEASE


A: All real numbers greater than 0

B: All real numbers

C: All real numbers between -5 and 4

D : All real numbers greater than -2

Answers

I think it’s D all real numbers greater than -2

Answer:

B: All real numbers

Step-by-step explanation:

Check the attached image for explanation.

Hope it helps.

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

Answers

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

What is a random variable?

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,

If the result of the random variable is tabulated along with the probabilities, it makes it easier to analyze random events. A probability distribution table is a description of the distribution of the values of a random variable along with their probabilities. Graphs and mathematical formulas can both be used to represent the probability distribution.

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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I have a math question, try not to get it wrong

Answers

it would be c

hope this helps

Answer: c

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

Como se lee 78,004,000

Answers

Answer: seventy-eight million

Step-by-step explanation:

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

5p+4p=7 how do I solve the equation with two variables

Answers

Answer:

7/9

Step-by-step explanation:

Combine the two variables: 9p = 7

Then do 7 / 9

Simplify 5 · P · 2.
A. 10P
B. 52P
C. 7P

Answers

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

Q5 A rectangular pyramid is mounted on a rectangular prism as shown in the figure. Find
the surface area of the solid formed.
10 ft
Aft
3 ft
4ft

Answers

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

Simplify 3x-2y+7-2x-2x -y-5​

Answers

Answer:

-x - 3y + 2

Step-by-step explanation:

sorry explain to long if you want it here a pic

50% don't smoke, 20% light smokers, 30% heavy smokers heavy smokers twice as likely to die as light smokers, light smokers twice as likely to die as nonsmokers probability of being a heavy smoker given person died?

Answers

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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A frame 2 inches wide surrounds a painting that is 18 inches wide and 14 inches tall. What is the area of the frame?

A 68 in²
B 84 in²
C 144 in²
D 252 in²
E 396 in²

Answers

The area of the frame is D. 252 in².

How to calculate the area?

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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Parker says that any two congruent acute triangles can be arranged to make a rectangle. Tamika says that only two congruent right triangles can be arranged to make a rectangle. Is either of them correct? Explain your reasoning.

Answers

The statement of Tamika  is correct.

How many congruent triangles do you need?

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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please help! i have PE in a bit!

Answers

Answer:

the answer is D  (-2 + 4)

Step-by-step explanation:

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

The Answer is D (-2 + 4)

(5-cosecB) (2 cosecB +4)​

Answers

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

suppose that the probability that a randomly selected person who has recently married for the first time will be divorced within 5 years is 0.2, and that the probability that a randomly selected person who has recently married for the second time will be divorced within 5 years is 0.30. take a random sample of 10 people married for the first time and 10 people married for the second time. the sample is chosen such that no one in the sample is married to anyone else in the sample. why is the binomial model inappropriate for finding the probability that exactly 4 of the 20 people in the sample will be divorced within 5 years? list all of the binomial conditions that are not met.

Answers

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.

What do you mean by the term binomial condition?

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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At 6am, the temperature started
at -2°F. At 10am the temperature
increased by 8°. The last recorded
temperature of the day at 4pm
was 11°F. What was the recorded
temperature at 10am?

Answers

Answer:

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°

The answer is 6 because you dont even need the time of days. You just need to do the math, which is -2 + 8 which equals 6

Hope this helped :)


The area of a triangle is 16 square units. The base of the triangle is x+4 and the height is x . Find x

Answers

Answer:

4

Step-by-step explanation:

Plsss helppppp meeee

Answers

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

Help step by step pls someone man

F+ 2 1/2 < - 2

Answers

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

What is the solution to the given inequality?

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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What is the value of (3.5)3?

9.15
10.5
17.9
42.875

Answers

Answer:Your answer is 10.5

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

A group of students is asked if they travel; to school by car, students travelling by car = 14 students not travelling by car=11 what percentage of these students do not travel to school by car?????

Answers

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%

A fruit stand is swlling mandarin oranges for $6 for 4 pounds. a mandarin orange weighs about 2 ounces. there are 16 oumces in a pound. at this rate, how many mandarin oranges can you buy for $

Answers

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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Question 1
-3 log x
O Bounded Above
O Not Bounded
O Bounded Below
O Bounded

Answers

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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A mobile phone company reported a 170% increase in sales in one year.
At the start of the year sales were 3 million.
What was the sales increase over the year?
million

Answers

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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