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2 years ago

What is the value of x in this proportion?

Mathematics

1 answer:

astra-53 [7]2 years ago

6 0

Answer:

(a) x=−20 1/2

Step-by-step explanation:

Multiply by the product of the denominators and solve the resulting linear equation in the usual way.

$\dfrac{2}{7}=\dfrac{-5}{x+3}\\\\2(x+3)=-5(7)\qquad\text{multiply by $7(x+3)$}\\\\2x+6=-35\qquad\text{simplify}\\\\2x=-41\qquad\text{subtract 6}\\\\\boxed{x=-20\dfrac{1}{2}}\qquad\text{divide by 2}$

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3. The stem-and-leaf plot shows the cost of lamps at a department store.

77julia77 [94]

Answer:

(a) What is the median cost?
12-78

(b) Is there a mode? If so, what is it?

No there isn't

12,75-78

(d) How many lamps cost more than $20 but less than $40?

(e) What is the ratio of lamps that cost less than $40 to lamps that cost more than $40? Write the ratio in the simplest form.

{for less} - (12,49) {for more} - (49,78)

Step-by-step explanation:

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2 years ago

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myrzilka [38]

Answer:

Step-by-step explanation:

Substitute a and b then

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3 years ago

Read 2 more answers

Suppose the number of hits a webpage receives follows a Poisson distribution. The average number of hits per minute is 2.4. What

REY [17]

Answer:

The probability that the page will get at least one hit during any given minute is 0.9093.

Step-by-step explanation:

Let X = number of hits a web page receives per minute.

The random variable X follows a Poisson distribution with parameter,

λ = 2.4.

The probability function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...$

Compute the probability that the page will get at least one hit during any given minute as follows:

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)

$=1-\frac{e^{-2.4}(2.4)^{0}}{0!}\\=1-\frac{0.09072\times1}{1} \\=1-0.09072\\=0.90928\\\approx0.9093$

Thus, the probability that the page will get at least one hit during any given minute is 0.9093.

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3 years ago

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alukav5142 [94]

Here you go the answers below

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3 years ago

What is the answer to this?

a_sh-v [17]

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3 years ago