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3 years ago

Solve for y: 3y - x = a

Mathematics

1 answer:

Anna11 [10]3 years ago

4 0

3y - x = a

To solve for y we isolate the y variable.

3y = x + a
y = (x + a)/3

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At Elisa's printing company llc there are two kinds of printing presses: model a which can print 70 books per day and model b wh

Vilka [71]

70a + 55b = 905
a + b = 14
55a + 55b = 770

(70a-55a) + (55b-55b) = 905 - 770
15a = 135
a = 9

a + b = 14
9 + b = 14
b = 5

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3 years ago

Can you please help

kirza4 [7]

C) 5x^2-3x+9 is the answer

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3 years ago

(Uniform) Suppose X follows a continuous uniform distribution from 4 to 11. (a) Write down the PDF of X. (b) Find P(X ≤ 7). Roun

love history [14]

Answer:

a) $f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11$

b) $P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286$

c) $P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857$

d) $P(X >5 | X \leq 7)$

And we can find this probability with this formula from the Bayes theorem:

$P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5$

Step-by-step explanation:

For this case we assume that the random variable X follows this distribution:

$X \sim Unif (a=4, b =11)$

Part a

The probability density function is given by the following expression:

$f(x) = \frac{1}{b-a} , a \leq x \leq b$

$f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11$

Part b

We want this probability:

$P(X \leq 7)$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}= \frac{x-4}{11-4}$

And replacing we got:

$P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286$

Part c

We want this probability:

$P(5 < X \leq 7)$

And we can use the CDF again and we have:

$P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857$

Part d

We want this conditional probabilty:

$P(X >5 | X \leq 7)$

And we can find this probability with this formula from the Bayes theorem:

$P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5$

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3 years ago

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harkovskaia [24]

Answer:

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Step-by-step explanation:

270 divided by 4.5 is 60 therefore, you get 6o miles per hour

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2 years ago

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mezya [45]

Answer:

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Step-by-step explanation:

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3 years ago