The sum of three numbers is 14. The largest number is 4 times the smallest number. The sum of the smallest and twice the largest is 18. What are all three numbers?

Answer:

3

Step-by-step explanation:

In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.

So the slope is the 3 in front of the x value.

Answer:

A compound proposition that is always false is called a contradiction

Step-by-step explanation:

A compound proposition that is always false is called a contradiction. Option B is correct.

Contradiction is defined as a situation or set of diametrically opposed ideas. Declaring publicly that you are an environmentalist but failing to remember to recycle is a contradiction.

A compound proposition that is always false is called a contradiction. A contradiction is a statement that contradicts itself, i.e., a statement that cannot be true at the same time. When two statements are combined and lead to a logically untenable conclusion, they are said to be contradictory. If a statement contradicts itself, it must be false. For example, the proposition "This statement is false" is a contradiction, as it leads to a logically untenable conclusion.

Thus, a compound proposition that is always false is called a contradiction. Option B is correct.

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Answer:

Answer is 79 and 28

Step-by-step explanation:

Let two numbers be x and y.

x + y = 107. --> 1

x - y = 51 -->2

solving above equations,

2x = 158

x =79

y = 28

Answer:

a.) -6

b.) 6

c.) -5

Step-by-step explanation:

Plug in each value for x

f(0) = 4(0) - 6 = -6

f(3) = 4(3) - 6 = 6

f(1/4) = 4(1/4) - 6 = -5

Answer:

a f)0)=4(0) - 6= -6

b f(3)=4(3) - 6=6

c f(1/4)=4(1/4)_6= -5

Answer:

44 containers

Answer:

o.29 answer of this question

Answer:

0.29

Step-by-step explanation:

0 . 8 9

-0 . 6 0

-------------

0 . 2 9

--------------

Hope this helps

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Answer:

180

Step-by-step explanation:

8 0

+ 1 0 0

1 8 0

Complete Question:

Frank has a 41% chance of receiving an A grade in statistics, a 36% chance of receiving an A grade in geology, and a 23% chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both) Write your answer as a decimal (not as a percentage).

Answer:

The probability that he receives an A in statistics or geology (or both) is:

0.54

Step-by-step explanation:

Probability of receiving an A grade in statistics = 41% or 0.41

Probability of receiving an A grade in geology = 36% or 0.36

Probability of receiving A grades in both statistics and geology = 23% or 0.23

Let S = statistics and p(S) = probability of A grade in statistics

Let G = geology and p(G) = probability of A grade in geology

Let p(S and G) = probability of A grades in statistics and geology.

The probability that he receives an A in statistics or geology (or both) is:

= p(S + G) - p(S and G)

= (0.41 + 0.36) - 0.23

= 0.54

Answer:

-7y

Step-by-step explanation:

As long as the variable and exponent is the same, they are like terms

Answer: 68y

There are infinitely many ways to answer this. All you need to do is pick your favorite number and then stick y at the end of it. The terms -5y and 68y are like terms because they have the same variable attached.

You can think of 68y-5y as having 68 yoyos and then subtracting off 5 yoyos to get 63 yoyos when all is said and done. In terms of algebra, we would write 68y-5y = 63y.

Answer:

i dont know maybe you should search google. best of Luck

Step-by-step explanation:

Answer:

350 gallons

Step-by-step explanation:

Let x = number of gallons of 70% solution

   100 = number of gallons of 25% solution

Then, x + 100 = number of gallons of 60% solution

0.70x + 0.25(100) = 0.60(x + 100)

0.70x + 25 = 0.60x + 60

0.10x = 35

      x = 350 gal

Mix 350 gal of 70% solution with 100 gal of 25% solution to obtain 450 gal of 60% solution.

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

Answer:

3 beats per second

Step-by-step explanation:

45÷15

Cat’s heart will beat 3 times per second.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a cat’s heart beats approximately 45 times in 15 seconds. The number of times a Cat's heartbeat in a second will be calculated as:-

15 seconds = 45 beats

1 second  = 45 / 15

1 second = 3 beats

Therefore, Cat’s heart will beat 3 times per second.

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Answer:

0.603

Step-by-step explanation:

Given that mean = 3.2

Probability that special order sent out will be no more than 3

Using poisson :

P(x) = (e^λ * λ^x) / x!

λ= 3.2

P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)

P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622

P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390

P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024

P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159

Hence ;

0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195

= 0.603

Answer:

9.25, 9.325, 9.5, 9.675

Step-by-step explanation:

Answer:

9.25, 9.325, 9.5, 9.675

Answer:

50 golf balls

Step-by-step explanation:

200/4 is 50. I did that because it says the golf balls are DIVIDED into 4 smaller buckets.

To check the answer you do 50 times four.

Answer:

50 in each small bucket

Answer:

do 9.60 divided by 12

Step-by-step explanation:

Answer:

$0.80

Step-by-step explanation:

All that is needed for finding this answer is 9.60 ÷ 12 which gets us 0.80.

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:

[tex]E(X)=\frac{r}{p}[/tex]

r is number of times it is repeated

p is probability it happens

Solving:

[tex]E(X)=\frac{5}{1/6}[/tex]

E(X) = 30

Variance is given by:

[tex]Var[X]=\frac{r(1-p)}{p^{2}}[/tex]

[tex]Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}[/tex]

[tex]Var[X]=5.\frac{5}{6}.6^{2}[/tex]

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.

Answer:

18.22

Step-by-step explanation:

Answer:

x=84

Step-by-step explanation:

[tex]\frac{36}{3}=\frac{x}{7}[/tex]

(cross multiply)

252=3x

(divide both sides by 3)

x=84

Answer:

x=6

Step-by-step explanation:

Let X = Rob's weekly allowance

If he spent 1/2 of it on candy, then he had 1/2 of it left (1/2)X

After he earned $6 for cleaning the oven, he had $9.

So,

(1/2)X + 6 = 9

(1/2)X = 3

X = 6

Answer:

a. yes it is a binomial experiment

b. success is that baby recovers

c. n = 6

d. p = 0.5

e. q = 0.5

f. X: 0,1,2,3,4,5,6

Step-by-step explanation:

a.

the answer is yes this is a binomial experiment. This is true because we have a finite number of babies and these babies are independent of each other. there are two possible outcomes. 1. baby recovers 2. baby does not recover.

b.

success: baby recovers

c.

n = number of babies born with ailment. n = 6

d.

p = 50% = 0.5

e.

q = 1-p = 1-0.5

q = 0.5

f.

possible values of X: 0,1,2,3,4,5,6

Answer: 9mph

Step-by-step explanation: To figure this out (I'll just finish the problem for you), you have to essentially find a unit rate. Since you know the miles traveled and the time, all you have to do is divide the miles by the minutes to figure out miles per minute. In other words, how much distance is covered in one minute.

3/4 divided by 5 is 0.15. That's how many miles per minute. Now, since they're asking for miles per hour, not per minute, you'd have to multiply the rate by one hour (60 minutes).

0.15*60 = 9

So, the speed is 9 miles per hour

Answer:

-0.5

Step-by-step explanation:

Answer:

n= -0.5

Step-by-step explanation:

2(n+3)=5

2n+6=5

2n=-1

n=-1/2= -0.5

Answer:

that you would you would you could do

Answer:

-22 belongs in integers and rational numbers.

Step-by-step explanation:

-22 can't fit into the natural numbers category because it is a negative number. That also means that it can't go into the whole numbers category. It can fit into the Integers category because it is a number without a fraction. And if it can fit into integers it can fit into the rational numbers as well.

Hope this helped you! ;-D

Answer:

x=$0.50 one pack for 50 cents

Step-by-step explanation:

$2.00= 10

$1.00=5

Answer:

9x-3

Step-by-step explanation:

2x2=4

4+4x-3

4x-1

5x-2

Add them together

4x-1+5x-2= 9x-3