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4 years ago

What is the solution of the proportion? 14/12 = D/48 a. 56 b. 672 c. 168 d. 576

2 answers:

8 0

So basically we can simplify the fraction by finding the gcf which is the greatest common factor so 14/12 both have 2 in common we simplify that by dividing by 2 so 14÷2 is 7/6 is the fraction on the left hand side and d/48 is the fraction on the right hand side so to solve for d we have to divide 336/6 whixh equals 56 as tour answer. Hoped this helped!!

Mrac [35]4 years ago

5 0

$\frac{14}{12} = \frac{D}{48}$

There is a method of solving proportions/ratios known as "Cross-Multiplying."

When $\frac{a}{b} = \frac{c}{d}$
$ad=bc$ where the numbers diagonal from each other are multiplied together
(when you draw lines between the numbers you multiply, you get a "cross" or "X" shape)

Cross multiply
$(14)(48)=(12)(D)$

Simplify
$672=12D$
$\frac{672}{12} = \frac{12D}{12}$
$56=D$

The answer is A. 56

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The time required to repair a machine is exponentially distributed with the mean 87 minutes. Find the probability that the repai

Gnesinka [82]

Answer:

$P(X>2) = 1-P(X\leq 2) =1- [ 1-e^{-\frac{1}{87} x}]= e^{-\frac{1}{87}*120}=0.252$

$P(X$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}, x>0$

And 0 for other case. Let X the random variable that represent "The number of years a radio functions" and we know that the distribution is given by:

$X \sim Exp(\lambda=\frac{1}{\mu})$

Where $\lambda = \frac{1}{87}$

Solution to the problem

The cumulative distribution function for the exponential distribution is given by:

$P(X\leq x) = 1-e^{-\frac{1}{87} x}$

We need to take in count that 2hours = 120 minutes and 3 hours = 180 minutes

And we want to find these probabilities:

$P(X>2) = 1-P(X\leq 2) =1- [ 1-e^{-\frac{1}{87} x}]= e^{-\frac{1}{87}*120}=0.252$

$P(X$

7 0

3 years ago

(10) Chuck's coin box contains only pennies and

ololo11 [35]

Answer:

Step-by-step explanation:

Set up two equations with the information given-- and things you know from experience: a penny is worth 1 cent and a nickel is worth 5 cents. $ 2.38 is 238 cents (so you can eliminate decimals for now)

Put those values into an equation about the total value:

p + 5n = 238

and you know the total number of coins is 66.

p + n = 66

get a value for p by "solving" (subtract n from both sides)

p = 66-n

Substitute that value for p in the first equation. Then solve.

(66 -n) + 5n = 238

4n = 238-66 Then isolate n by dividing both sides by 4

n = 172/4

n = 43 Substitute that in the second equation, then solve for p

p + 43 = 66 p = 66 - 43

p = 23

So Chuck has 23 pennies and 43 nickels

5 0

3 years ago

Write the equation of the hyperbola with foci at (1, 5) and (7, 5) and with vertices at (2, 5) and (6, 5).

mash [69]

If you plot the points given on a coordinate plane you see that this is a hyperbola that is is horizontal in nature, meaning it opens side to side, not up and down. We can determine the center of it by taking the point equidistant from the vertices, which is (4, 5), the h and k of our center, respectively. Also, the equation looks like this when it is horizontal: $\frac{(x-h) ^{2} }{ a^{2} } - \frac{(y-k) ^{2} }{ b^{2} } =1$ . a is the distance between the center and the vertices, so our a = 2, and c is the distance between the center and the foci, so our c = 3. We need to find b now, using Pythagorean's theorem. $( 2)^{2} + b^{2} =( 3)^{2}$ and $b= \sqrt{5}$ . Now we have everything we need to rewrite the equation: $\frac{(x-4) ^{2} }{4} - \frac{(y-5) ^{2} }{5} =1$

6 0

3 years ago

132 packages of clay, 6 clay sticks in each package, 3 sticks go to each student. How many students are able make projects out c

spayn [35]

Answer: 264

Step-by-step explanation: 132 x 6 = 792

792 divided by 3 = 264

Hope this helps

7 0

4 years ago

I am so confused. not sure how to solve need step by step instruction to help please

sladkih [1.3K]

Answer:

Step-by-step explanation:

Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.

-2(-5)+3=13

7 0

3 years ago