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ankoles [38]
3 years ago
12

Hajra's weekly pay this year is £676. This is 30% more than her weekly pay last year. Work out Hajra's weekly pay last year.

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0
\text{new pay}=\frac{130}{100}(\text{old pay}) hence \text{old pay}=\frac{130}{100}\cdot676=\boxed{\£520}
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Crime and Punishment: In a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison
Gala2k [10]

Answer:

(a) The probability of getting someone who was not sent to prison is 0.55.

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.

Step-by-step explanation:

We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.

Let the probability that subjects studied were sent to prison = P(A) = 0.45

Let G = event that subject chose to plead guilty

So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40

and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55

(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison

      P(A') = 1 - P(A)

               = 1 - 0.45 = 0.55

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)

We will use Bayes' Theorem here to calculate the above probability;

    P(A'/G) =  \frac{P(A') \times P(G/A')}{P(A') \times P(G/A') +P(A) \times P(G/A)}      

                 =  \frac{0.55 \times 0.55}{0.55\times 0.55 +0.45 \times 0.40}

                 =  \frac{0.3025}{0.4825}

                 =  <u>0.63</u>

6 0
3 years ago
A concession stand charges $2.50 for a bag of popcorn. The stand has already sold 30 bags of popcorn. How many more bags x of po
nikitadnepr [17]

Answer:

14

Step-by-step explanation:

Because you do 2.50 times 30 and that is 75. Next you do 110 - 75 and that is equal to 35. Next you divide 35 by 2.50 and you get 14.

6 0
3 years ago
Mrs. Johnson’s class sold cookies for $2.50 each and Mr. Smith’s class sold popcorn for $1.50 each. Together, the classes sold 5
olga_2 [115]

Answer:

c+p = 53

2.5c+1.5p = 105.5

p = 27

c= 26

Mrs. Johnson  earned 65

Mr Smith  earned 40.5

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Step-by-step explanation:

Let c = cookies sold

p = popcorn sold

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c+p = 53

The total cost of the items sold is 105.50  

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2.5c+1.5p = 105.5

System of equations:

c+p = 53

2.5c+1.5p = 105.5

Multiply the second equation by 10 to clear the decimals

10 *(2.5c+1.5p) = 10*105.5

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Multiply equation 1 by -5

-5(c+p)=-5*53

-5c-5p=-265

Add the equations

5c+3p =211

-5c-5p=-265

---------------------

-2p = -54

Divide by -2

-2p/-2 = -54/-2

p = 27

Now we need to find c

c+p = 53

c+27 = 53

Subtract 27 from each side

c+27-27 = 53-27

c= 26

Mrs. Johnson  earned the number of cookies times 2.5

c* 2.5

26*2.5 =65

Mr Smith  earned the number of popcorn times 1.5

p*1.5

27*1.5

40.5

Mrs Johnson earned 65-40.5 = 24.50 more

5 0
3 years ago
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