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svetlana [45]
3 years ago
13

If 6/10 is multiplied by a fraction less than 1,which of these would be an answer 6/10,1/2,3/2,or 5

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
4 0

If \frac{6}{10} is multiplied with a fraction less than 1, out of the given options \frac{1}{2} would be the answer.

Explanation:

  • First, we need to determine what a fraction lesser than 1 is. If the numerator is lesser than the denominator, the fraction will be lesser than 1 whereas if the denominator is higher than the numerator is would equal more than 1.
  • If \frac{6}{10} is multiplied with 1, we get the value \frac{6}{10}. Since the fraction must be lesser than 1, \frac{6}{10} cannot be an answer. So option 1 cannot be the answer.
  • The value of \frac{6}{10} is 0.6. If it is multiplied with any value lesser than 1, the resulting value cannot be higher than the value of 0.6. The value of the fraction \frac{3}{2} is 1.5 and the value of 5 are both greater than 0.6. So the third and fourth options cannot be the answer. So \frac{1}{2} is the answer.

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The cost of a taxi ride is $5 plus $0.50 per mile write an algebraic expression that models the cost of a taxi of M miles. A-m(5
Alex787 [66]
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3 years ago
Write 1-2log7x as a single logarithm
slavikrds [6]

Answer:

log_{7} \frac{7}{x^{2} }

Step-by-step explanation:

We need to write 1 - 2log_{7}x as a single logarithm.

We know that

log_{7}7 = 1

Therefore we have:

log_{7}7 - 2log_{7}x

→ log_{7}7 - log_{7}x^{2}

→ log_{7} \frac{7}{x^{2} }

The solution is: log_{7} \frac{7}{x^{2} }

4 0
3 years ago
Jika sin x = p, dengan x tumpul, maka cos(x + 60) =​
Novay_Z [31]

Menjawab:

[(√1-p²) -3√p] / 2

Penjelasan langkah demi langkah:

Dari identitas trigonometri, pemuaiannya benar:

Cos (A + B) = cosAcosB-sinAsinB

Menerapkan ini dalam memperluas cos (x + 60).

cos (x + 60) = cosxcos60 - sinxsin60

Jika sinx = p = berlawanan / sisi miring

opp = p, hyp = 1

adj² = 1²-p²

adj = √1-p²

Cos (x) = adj / hyp = √1-p² / 1

Cos (x) = √1-p²

Cos60 = 1/2 dan sin60 = √3 / 2

Mengganti nilai-nilai ini ke dalam rumus

cos (x + 60) = cosxcos60 - sinxsin60

cos (x + 60) = √1-p² (1/2) - p (√3 / 2)

cos (x + 60) = (√1-p²) / 2 - √3p / 2

Temukan KPK tersebut

cos (x + 60) = [(√1-p²) -3√p] / 2

Oleh karena itu cos (x + 60) = [(√1-p²) -3√p] / 2

5 0
3 years ago
"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and f
yuradex [85]

Answer:

a

   P(X = 4 ) = 0.1876

b

   P(X \le 4)  =  0.8358

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

X \  \ ~ Bin (n , p )

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

P(X = 4 ) =  ^nC_4 * p^4 * (1 - p)^{n-4}

=> P(X = 4 ) =  ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}

Here C stand for combination

=> P(X = 4 ) = 0.1876

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

P(X \le 4) =  [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]

=>   P(X \le 4)  =  0.8358

4 0
3 years ago
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