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iren [92.7K]
3 years ago
6

Leah is paid semimonthly. How many fewer paychecks does she

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

Leah has 80 less paychecks than the weekly person.

Step-by-step explanation:

Leah is getting 24 paychecks in 2 years, Weekly person gets 104 paychecks in 2 years, 104 - 24 = 80 paychecks.

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An exit poll in an election is a survey taken of voters just after they have voted. One major use of exit polls has been so that
3241004551 [841]

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

7 0
3 years ago
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases into quadrant 2. It goes through poi
iVinArrow [24]

Answer:

y=100*0.6^{x}

Step-by-step explanation:

7 0
2 years ago
Find size of angle x<br><br>pls.. <br><br><br>​
mina [271]

Answer:

x = 115

Step-by-step explanation:

Sum of angles around a point = 360

i.e,

=> 164 + 81 + x = 360

=> 245 + x = 360

=> x = 360 - 245

=> x = 115

6 0
2 years ago
Read 2 more answers
If sin²∅ + sin∅ = 1 , then what is the value of sin²∅ + sin⁴∅.​
Yakvenalex [24]

Answer:

Step-by-step explanation:

Given  sin²∅ + sin∅ = 1, we are to find the value of  sin²∅ + sin⁴∅. ... 2

From  sin²∅ + sin∅. = 1;  sin²∅ = 1 - sin∅. ... 3

Substitute equation 3 into 1

sin²∅ + sin⁴∅

=  sin²∅ + (sin²∅)²

=  (1 - sin∅)+( 1 - sin∅)²

open the parenthesis

= 1 - sin∅+ (1-2sin∅+ sin²∅)

= 1 - sin∅+ 1-2sin∅+ sin²∅

= 1+1-sin∅-2sin∅+sin²∅

= 2 - 3sin∅+sin²∅

Since sin²∅ = 1 - sin∅, the resulting equation becomes;

= 2 - 3sin∅+(1 - sin∅)

= 2 - 3sin∅+1-sin∅

= 3-4sin∅

7 0
3 years ago
If increasing 50 by x% is equal to the result of decreasing 70 by x%. what is the value of x?
ozzi

Increasing 50 by x% can be written as:

50 + \frac{x}{100} =50+0.01x.................(1)

Decreasing 70 by x % can be represented by the expression:

70 + \frac{x}{100} =70-0.01x...........(2)

Now we are given in the question that if we increase 50 by x% and 70 by x%, then the two values are equal.

so equating (1) and (2) , we get

50 +0.01 x =70 - 0.01x

bringing 0.01x to the left side:

50  +0.01x +0.01x = 70

50  +0.02x = 70

taking 50 to the right side, subtracting it from 70

0.02x = 70-50

0.02x = 20

dividing both sides by 0.02

\frac{0.02x}{0.02}  =\frac{20}{0.02}

Answer x=2000

4 0
3 years ago
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