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marishachu [46]
2 years ago
12

Dilbert forgot to study for the multiple-choice exam. Each question has four choices and there are 50 questions. Dilbert, in his

infinite wisdom, decides to randomly guess on each problem. Find the probability for each: a) If Dilbert gets 30 or more right, he will be named the company CEO. b) If Dilbert gets 20 to 29 right, he will be promoted and get a 10% raise. c) If Dilbert gets 10 to 19 right, he will get to keep his menial job and pay. d) If Dilbert gets less than 10 right, he will be kicked out of cubicle central and unemployed.
Mathematics
1 answer:
Aloiza [94]2 years ago
4 0
1. 30 ÷ 50 = 0.6 = 6%
2. 20 ÷ 50 = 0.4 = 4%
29 ÷ 50 = 0.58 = 58%
3. 10 ÷ 50 = 0.2 = 2%
19 ÷ 50 = 0.38 = 38%
4. 5 ÷ 50 = 0.1 = 1%



I can't say for sure if these are the corrects answers, as math is not one of my better suits. But, I hope that it can somewhat help you.
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So hmmm let's see
she has a monthly income of 120 from investments, now, there are 12 months in a year, so her yearly income from investments are 120*12 or
$1440

she plays on a band, and makes 200 a week, now, there are 52 weeks in a year, so her yearly income from band playing is 200 * 52, or
$10400

her total annual income is 49696, now, if we subtract the band and investment income, we'd be left over with only what comes from her job payrate
so 49696 - 1440 - 10400 is 37856

so, she makes from her job, $37856 annually

now, she only works 28 hours weekly, how much is that yearly?   well, 52 weeks in a year, she works 28*52 hours a year, let us divide 37856 by that

37856 ÷ ( 28 * 52)   well, it ends up as 26

so, her hourly payrate is $26 per hour

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well, if we check the difference of 51880 and 49696, that'd leave us with the difference in pay, or the raise annual amount

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7 0
2 years ago
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A law firm charges a client according to the function f(x)=4(x+2) , where x represents the number of hours spent on the client’s
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Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ---> the number of hours spent on the client’s case each week

f(x) ---->  the total charge that week in hundreds of dollars

we have

f(x)=4(x+2)

distribute

f(x)=4x+8

This is the equation of the line in slope intercept form

where

The slope or unit rate is

m=4

The y-intercept or initial value is

b=8

To graph the line we need minimum two points

Find the x-intercept

For f(x)=0

0=4x+8\\4x=-8\\x=-2

The x-intercept is the point (-2,0)

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To graph the line, plot the intercepts, connect them and join the points

The graph in the attached figure

Remember that the value of x and the value of f(x) cannot be a negative number

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2 years ago
If quadrilateral PQRS is a rectangle, then which of the following is true?
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∠STP ≅ ∠QTR is the True statement ⇒ answer C

Step-by-step explanation:

In any rectangle

1. Each two opposite sides are equal and parallel

2. The measure of its vertex angles is 90°

3. The two diagonals are equal

Now lets find the true statements

∵ PQRS is a rectangle

∴ PS = QR ⇒ opposite sides

∴ PQ = SR ⇒ opposite sides

∴ PR = QS ⇒ diagonals

A.  ∠PSQ ≅ ∠QSR

∵ The diagonals of the rectangle do not bisect the vertex angles

∴ AQ does not bisect angle S

∴  m∠PSQ ≠ m∠QSR

∴  ∠PSQ not congruent ∠QSR

∠PSQ ≅ ∠QSR ⇒ False

B. segment SR ≅ segment RQ

∵ SR and RQ are two adjacent sides

∵ The adjacent side in the rectangle not equal

∴ SR ≠ QR

∴ segment SR not congruent to segment RQ

segment SR ≅ segment RQ ⇒ False

C. ∠STP ≅ ∠QTR

∵ PR intersects QS at point T

∴ m∠STP = m∠QTR ⇒ vertically opposite angles

∴ ∠STP ≅ ∠QTR

∠STP ≅ ∠QTR ⇒ True

D. segment PS ≅ segment PR

∵ PS is a side in the rectangle

∵ PR is a diagonal in the rectangle

∵ The side of the rectangle not equal the diagonal of the rectangle

∴ PS ≠ PR

∴ segment PS not congruent to segment PR

segment PS ≅ segment PR ⇒ False

∠STP ≅ ∠QTR is the True statement

Learn more:

You can learn more about rectangle in brainly.com/question/6594923

#LearnwithBrainly

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Id say B...............
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Answer:

Here, Convenience sampling is used by the poll

Explanation:

Convenience sampling also called as opportunity, grab or accidental sampling is a kind of non-likelihood testing that includes the sample being drawn from that piece of the populace that is near hand. This sort of sampling is most valuable for pilot testing.  

Convenience sampling is a procedure used to make sample according to straightforward entry, readiness to be a sample's part , accessibility at a given scheduled slot.  

So, this method of sampling is biased and don't results in desired outcomes.

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