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3 years ago

Question 1

Mathematics

1 answer:

Readme [11.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

0.41

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5(2-x) is greater than or equal to -5(x+8)

likoan [24]

Answer:

greater than

Step-by-step explanation:

5(2-x) = 10-5x

-5(x+8)= -5x-40

7 0

3 years ago

Joe traveled 2,450 miles in 43.5 hours. What was his average miles per hour?

Greeley [361]

Answer:

56.32 Miles per hour

Step-by-step explanation:

Take the total distance travel (2450) and divide that by the time (43.5) to get the mph. Hope this helps!

4 0

4 years ago

A search committee is formed to find a new software engineer.

Free_Kalibri [48]

Answer:

(a) 1,902,231,808,400

(b) 84

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\cdot(n-k)!}$

(a)

Compute the number of ways to select 9 applicants from 100 as follows:

${100\choose 9}=\frac{100!}{9!\cdot(100-9)!}$

$=\frac{100!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92\times 91!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92}{9!}\\\\=1902231808400$

(b)

Compute the number of ways to select 6 people from 9 as follows:

${9\choose 6}=\frac{9!}{6!\cdot(9-6)!}$

$=\frac{9!}{6!\times 3!}\\\\=\frac{9\times 8\times 7\times 6!}{6!\times 3!}\\\\=\frac{9\times 8\times 7}{3!}\\\\=84$

(c)

Compute the number of ways to select top 3 candidates from 6 as follows:

${6\choose 3}=\frac{6!}{3!\cdot(6-3)!}$

$=\frac{6!}{3!\times 3!}\\\\=\frac{6\times 5\times 4\times 3!}{3!\times 3!}\\\\=\frac{6\times 5\times 4}{3!}\\\\=20$

7 0

3 years ago

Plot the x- and y-intercepts to graph the equation. y=13x−1 .

bonufazy [111]

This is the graph
if put 0 and 1 for x then :
$x = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 \\ y = - 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12 \\ \binom{x}{y } = \binom{0}{ - 1} \: \: \: \: \binom{1}{12}$