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3 years ago

Estimate 9146 x 174 by first rounding each number so that it has only 1 nonzero digit.

Mathematics

1 answer:

natita [175]3 years ago

5 0

Answer:

1,800,000

Step-by-step explanation:

9146 * 174

Estimate: 9000 * 200 = 1,800,000

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What is 360 divided by 12 explain your answer

Ipatiy [6.2K]

Answer:

360 divided by 12 is 30 because 12 times 30 is 360

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The life of a red bulb used in a traffic signal can be modeled using an exponential distribution with an average life of 24 mont

BartSMP [9]

Answer:

See steps below

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

If the random variable X is exponentially distributed and X has an average value of 24 month, then its probability density function is

$\bf f(x)=\frac{1}{24}e^{-x/24}\;(x\geq 0)$

and its cumulative distribution function (CDF) is

$\bf P(X\leq t)=\int_{0}^{t} f(x)dx=1-e^{-t/24}$

• What is probability that the red bulb will need to be replaced at the first inspection?

The probability that the bulb fails the first year is

$\bf P(X\leq 12)=1-e^{-12/24}=1-e^{-0.5}=0.39347$

• If the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months?

Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

but B⊂A, so A∩B = B and

$\bf P(A | B) = P(B)P(B) = (P(B))^2$

We have

$\bf P(B)=P(X>18)=1-P(X\leq 18)=1-(1-e^{-18/24})=e^{-3/4}=0.47237$

hence,

$\bf P(A | B)=(P(B))^2=(0.47237)^2=0.22313$

• If the signal has six red bulbs, what is the probability that at least one of them needs replacement at the first inspection? Assume distribution of lifetime of each bulb is independent

If the distribution of lifetime of each bulb is independent, then we have here a binomial distribution of six trials with probability of “success” (one bulb needs replacement at the first inspection) p = 0.39347

Now the probability that exactly k bulbs need replacement is

$\bf \binom{6}{k}(0.39347)^k(1-0.39347)^{6-k}$

<em>Probability that at least one of them needs replacement at the first inspection = 1- probability that none of them needs replacement at the first inspection. </em>

This means that,

<em>Probability that at least one of them needs replacement at the first inspection = </em>

$\bf 1-\binom{6}{0}(0.39347)^0(1-0.39347)^{6}=1-(0.60653)^6=0.95021$

5 0

3 years ago

How to turn 12/25 in precent

Len [333]

Answer:

48%

Step-by-step explanation:

To convert any fraction to a percentage, we need to multiply it by 100.

$\frac{12}{25}*100$

$= \frac{}{} 12*4$

= 48%

7 0

3 years ago

Find the surface area of prism

SCORPION-xisa [38]

Answer:

hope it helps mark me brill

Step-by-step explanation:

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

4 0

3 years ago

(x + 3 ) * (x-2) giúp mình giải bài này với

yarga [219]

Answer:

${x}^{2} + x - 6 \\$

Step-by-step explanation:

$(x + 3)(x - 2) \\ x(x - 2) + 3(x - 2) \\ {x}^{2} - 2x + 3x - 6 \\ {x}^{2} + x - 6 \\$

7 0

2 years ago