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3 years ago

7 times as much as sum of 1/3 and 4/5

2 answers:

8 0

So the formula is
7*(1/3+1/5) = x

First find the common denominator of the fractions. In this case the common denominator of 3 and 5 is 15 so we must convert them to 15ths. To do that we divide 15 by the denominator and take that answer and multiply the numerator by it.

So for 1/3 we take 15/3(denominator) = 5 and multiply the numerator (1) by it

5 * 1 = 5 so 1/3 converts to 5/15

Do the same for 1/5 we take 15/5 = 3 and multiply the numerator (4) by it

3*4 = 12 so 4/5 converts to 12/15

Now we add 5/15 and 12/15 = 17/15 so we have our formula now to

7*17/15

We make seven a fraction 7/1 and multiply across 7*17 = 119 and 15 * 1 = 15

We have 119/15 which when we divide and get 7 14/15 as your answer

AleksandrR [38]3 years ago

5 0

Find a common denominator aka 15
so 5/15 and 12/15
= 17/15 times 7/1
119/15

You might be interested in

a machinest can produce 114 parts in 6 minutes.at this rate,how many parts can the machinist produce in 15 minutes

JulsSmile [24]

The first thing we need to do is find the rate of parts for 15 minutes.

So, we divide 114 parts per 6 minutes and get 19 parts per minute

Then we multiply this rate per minute by 15 minutes

The answer is 285

Attached Work Below:

$Part1\\114\div6=19\\\\Part 2\\19\times15=285$

7 0

2 years ago

Read 2 more answers

at the amusement park each student is given $16 for food this covers the cost of two meals plus $4 for snacks how much money doe

Igoryamba

(16 - 4) ÷ 2
This would give you $6, so that is how much they expect you to spend per meal.

5 0

3 years ago

Find the amount of time in years. I=$100, P=$200, r=10%

lara31 [8.8K]

Answer:

How many years????????

4 0

2 years ago

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

sergiy2304 [10]

Answer:

(a) P(X=3) = 0.093

(b) P(X≤3) = 0.966

(c) P(X≥4) = 0.034

(d) P(1≤X≤3) = 0.688

(e) The probability that none of the 25 boards is defective is 0.277.

(f) The expected value and standard deviation of X is 1.25 and 1.089 respectively.

Step-by-step explanation:

We are given that when circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%.

Let X = the number of defective boards in a random sample of size, n = 25

So, X ∼ Bin(25,0.05)

The probability distribution for the binomial distribution is given by;

$P(X=r)= \binom{n}{r} \times p^{r}\times (1-p)^{n-r} ; x = 0,1,2,......$

where, n = number of trials (samples) taken = 25

r = number of success

p = probability of success which in our question is percentage

of defectivs, i.e. 5%

(a) P(X = 3) = $\binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}$

= $2300 \times 0.05^{3}\times 0.95^{22}$

= 0.093

(b) P(X $\leq$ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= $\binom{25}{0} \times 0.05^{0}\times (1-0.05)^{25-0}+\binom{25}{1} \times 0.05^{1}\times (1-0.05)^{25-1}+\binom{25}{2} \times 0.05^{2}\times (1-0.05)^{25-2}+\binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}$

= $1 \times 1 \times 0.95^{25}+25 \times 0.05^{1}\times 0.95^{24}+300 \times 0.05^{2}\times 0.95^{23}+2300 \times 0.05^{3}\times 0.95^{22}$

= 0.966

(c) P(X $\geq$ 4) = 1 - P(X < 4) = 1 - P(X $\leq$ 3)

= 1 - 0.966

= 0.034

(d) P(1 ≤ X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

= $\binom{25}{1} \times 0.05^{1}\times (1-0.05)^{25-1}+\binom{25}{2} \times 0.05^{2}\times (1-0.05)^{25-2}+\binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}$

= $25 \times 0.05^{1}\times 0.95^{24}+300 \times 0.05^{2}\times 0.95^{23}+2300 \times 0.05^{3}\times 0.95^{22}$

= 0.688

(e) The probability that none of the 25 boards is defective is given by = P(X = 0)

P(X = 0) = $\binom{25}{0} \times 0.05^{0}\times (1-0.05)^{25-0}$

= $1 \times 1\times 0.95^{25}$

= 0.277

(f) The expected value of X is given by;

E(X) = $n \times p$

= $25 \times 0.05$ = 1.25

The standard deviation of X is given by;

S.D.(X) = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{25 \times 0.05 \times (1-0.05)}$

= 1.089

8 0

2 years ago

Carpet King is trying to increase sales, and it has instituted a new promotion. All purchases can be

dusya [7]

Answer:

The Schusters will have to pay $2,034 in the sixth month.

Step-by-step explanation:

Since Carpet King is trying to increase sales, and it has instituted a new promotion by which all purchases can be paid on the installment plan with no interest, as long as the total is paid in full within six months, and there is a $20 minimum monthly payment required, if the Schuster family buys carpeting for $2,134 and makes only the minimum payment for five months, to determine how much will they have to pay in the sixth month, the following calculation must be performed:

2134 - (5 x 20) = X

2134 - 100 = X

2034 = X

Therefore, the Schusters will have to pay $ 2,034 in the sixth month.

3 0

2 years ago