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3 years ago

How much more is 1.8 • 10^11 greater than 7.2 • 10^10

Mathematics

1 answer:

Rasek [7]3 years ago

6 0

Answer:

1.8.10=1.80000000000

7.2.10=7.2000000000

Step-by-step explanation:

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A student said that since -9 is less than 4, then |-9| is less than |4|. Is the student correct? Explain why or why not.

IRISSAK [1]

No, that is not true. The absolute value is the distance a number is from zero. The distance of -9 to 0 is 9. 9 is not less than 4.

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Can someone give me the answer and explanation

DENIUS [597]

Answer: A

Step-by-step explanation:

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3 years ago

An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.

Greeley [361]

Answer: 1) 0.6561 2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel. : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = $P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}$

$=(1)(0.90)^4=0.6561$

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= $P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037$

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

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3 years ago

A sum of rs 400 is lent for 3 yrs at the rate of 6% per annum. Find the interest.

Nimfa-mama [501]

Interest is equal to rs 72

Simple Interest is computed by multiplying the principal to the interest rate and the time.

I = P * r * t

Principal = rs 400
Interest rate = 6%
Term / time = 3 yrs

I = 400 * 6% * 3
I = 72 the total interest that must be paid in 3 yrs.

3 0

3 years ago