All categories

3 years ago

Find the area of a triangle if the base is 8.2m and the height is 4.6m.

Mathematics

2 answers:

VladimirAG [237]3 years ago

7 0

It’s 18.86m squared! Ur welcome plz mark brain lists

Dmitry [639]3 years ago

5 0

In order to find an area of a triangle we have to multiply the base by the height.

8.2*4.6=?

So now all we have to do is multiply to find our answer of 37.72!

You might be interested in

A rectangular prism has a length of 14 feet, a height of 11 feet, and a width of 13 feet. What is its volume, in cubic feet ?

Radda [10]

2002 ft^3. Hope this is right!

4 0

2 years ago

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

China was isolated because of

konstantin123 [22]

Answer:

The geography of China isolated it from other cultures because there were the Himalayan Mountains, the Tibet-Qinghai Plateau, the Taklimakan Desert, and the Gobi Desert

7 0

3 years ago

Read 2 more answers

Haylie and Justin went camping with their families for 7 days. They each took their own bottles of water. Haylie drank 6 bottles

trasher [3.6K]

Haylie took 48 bottles of water on the trip.

4 0

3 years ago

How do I find the perimeter of a figure to the nearest hundreth

aev [14]

Answer:

Step-by-step explanation:

add the two sides which are 6 and 6, then find the circumference of one of the circles and thats it, the reason why you only need one is because both of those circles are halfs, so they make one circle up, so its 6+6, then the circumference is 12.5667 so its 12+12.5667 which is 24.5667 which rounds up to 25.

5 0

3 years ago