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wolverine [178]
3 years ago
7

Finda,bsuchthat 7.2, a, b, 3 are in A.P.​

Mathematics
1 answer:
leonid [27]3 years ago
4 0

Answer:

  • The value of a = 5.8
  • The value of b = 4.4

Step-by-step explanation:

Given

7.2, a, b, 3 are in A.P

2a = 7.2+b

b = 2a - 7.2

as

a, b, 3 are also in A.P

2b\:=\:a\:+\:3

Putting b = 2a - 7.2

2\left(2a-7.2\right)=a+3

4a-14.4=a+3

\mathrm{Add\:}14.4\mathrm{\:to\:both\:sides}

4a-14.4+14.4=a+3+14.4

4a=a+17.4

4a-a=a+17.4-a

3a=17.4

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3a}{3}=\frac{17.4}{3}

a=5.8

Now, plugging a=5.8 in b = 2a - 7.2

b=2\left(5.8\right)-7.2

b=2\cdot \:5.8-7.2

b=11.6-7.2

b=4.4

Therefore,

  • The value of a = 5.8
  • The value of b = 4.4
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Out of 400 applicants for a job, 179 are female and 72 are female and have a graduate degree. Step 2 of 2 : If 118 of the applic
Dafna11 [192]

Answer:

36/59 or 0.610

Step-by-step explanation:

P(female and degree)/P(degree)

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3 years ago
Find an expression for the nth term -3 , 2 , 7, 12​
slavikrds [6]

Answer:

5n-8

Step-by-step explanation:

Because this is an arithmetic progression, there is simply an addend that is being added to every number. Because that is 5, the expression, for now, would be 5n. However, the progression does not start at 0, so we will have to subtract 3, and then it would be 5n - 3. We're still not at the answer; this is because the first term starts at 1, not 0. We will have to account for that, so subtract the coefficient, or 5, from the whole expression. That would be 5n - 8, and that would be the answer.

4 0
3 years ago
What is the finance charge on 13,300 financed at 7.9 percent for 4 years if the monthly payment per 100 is 2.74?
Julli [10]

To answer this question we have to first determine how many times 100 can go into 13,300. To find this we do the following:


<span>$13,300/$100 = 133</span>


<span>Now we simply multiply the result by $2.74:</span>


<span>$2.74*133 = $364.42.</span>


<span>Finally we just multiply that by the total number of payments which are (monthly payment, 12 months in a year, for 4 years).</span>


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3 0
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There are 5 red marbles, 4 blue marble, 2 green marbles, and 1 yellow marble in the bag. What is the probability of pulling out
kykrilka [37]

Answer:

Red : 5/12

Blue : 1/3

Green: 1/6

Yellow : 1/12

Step-by-step explanation:

5 red marbles + 4 blue marbles + 2 green marbles + 1 yellow marble = 12 total marbles

5 red marbles / 12 total marbles = 5/12

4 blue marbles / 12 total marbles = 4/12 = 1/3

2 green marbles / 12 total marbles = 2/12 = 1/6

1 yellow  marbles / 12 total marbles = 1/12

3 0
3 years ago
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