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N76 [4]
3 years ago
14

A career placement test eliminates a profession when a person receives a score of 18 or less. If the score is calculated

Mathematics
2 answers:
Volgvan3 years ago
3 0

Answer:

See the figure attached

Step-by-step explanation:

Let's call :

x: positive response

y: negative response

then the score is:

2x - 3y

A career placement test eliminates a profession when a person receives a score of 18 or less, that's represented by the following inequality:

2x - 3y ≤ 18

lubasha [3.4K]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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g A bowl contains 5 white balls, 10 red balls, and 15 blue balls. You are to randomly select two balls without replacement. You
qaws [65]

We want to find the probability of getting a red ball in our first draw, given that in the second draw we got a white ball.

We will get P = 0.345

We know that the bowl has:

  • 5 white balls
  • 10 red balls
  • 15 blue balls.

For a total of 30 balls.

We draw a ball and we store it.

Then we draw another ball and we see that it is a white ball.

We want to get the probability that the first ball was red.

The only thing we know, is that one of the white balls can be taken out of the sample space, because we can only draw it second if we did not draw it on the first attempt.

Then we can think that we have:

  • 4 white balls.
  • 10 red balls
  • 15 blue balls.

For a total of 29 balls.

Then the probability of getting a red one is just the quotient between the number of red balls and the total number of balls, we will get:

P = 10/29 = 0.345

If you want to learn more, you can read:

brainly.com/question/11234923

4 0
2 years ago
What is the pair of vertical angles.
kobusy [5.1K]

Answer:

C.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the best estimate of the area of the lake pictured on the grid if each square has a side length of 400 meters?
evablogger [386]

Answer:  4,840,000 square meters

Step-by-step explanation:

Each square has an area of (400m)^2 or 160,000 m^2 each square.

There are 390 squares, so:

(30 squares)*(160,000 m^2/square) = 4,800,000 m^2

4,840,000 square meters comes closest

7 0
2 years ago
Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +
slava [35]
\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx

Taking x=7\tan\theta gives \mathrm dx=7\sec^2\theta\,\mathrm d\theta, so that the integral becomes

\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta
=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta

When \sec\theta>0, we have

=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta
=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta

and from here we can substitute u=\tan\theta to proceed from here.

Quick note: When we set x=7\tan\theta, we are implicitly enforcing -\dfrac\pi2 just so that the substitution can be undone later via \theta=\tan^{-1}\dfrac x7. But note that over this domain, we automatically guarantee that \sec\theta>0, so the absolute value bars can be dropped immediately.
6 0
2 years ago
A restaurant used 4 pounds of potatoes during a lunch rush if they used one 12th as much beef how many pounds of beef did they u
IrinaK [193]
The answer is 48 because you multiple four and 12 because they used twice the amount
3 0
3 years ago
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