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3 years ago

Use words to write 520783106. Be sure to use any needed commas and hyphens.

Mathematics

1 answer:

Vlada [557]3 years ago

6 0

Answer:

[See Below]

Step-by-step explanation:

✦ Five hundred twenty million, seven hundred eighty-three thousand, one hundred six.

This is the written form of $520783106$ .

~Hope this helps Mate. If you need anything feel free to message me.

You might be interested in

The automatic opening device of a military cargo parachute has been designed to open when the parachute is 185 m above the groun

agasfer [191]

Answer:

0.0193 = 1.93% probability that there is equipment damage to the payload of at least one of five independently dropped parachutes.

Step-by-step explanation:

For each parachute, there are only two possible outcomes. Either there is damage, or there is not. The probability of there being damage on a parachute is independent of any other parachute, which means that the binomial probability distribution is used to solve this question.

To find the probability of damage on a parachute, the normal distribution is used.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Probability of a parachute having damage.

The opening altitude actually has a normal distribution with mean value 185 and standard deviation 32 m, which means that $\mu = 185, \sigma = 32$

Equipment damage will occur if the parachute opens at an altitude of less than 100 m, which means that the probability of damage is the p-value of Z when X = 100. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{100 - 185}{32}$

$Z = -2.66$

$Z = -2.66$ has a p-value of 0.0039.

What is the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes?

0.0039 probability of a parachute having damage, which means that $p = 0.0039$

5 parachutes, which means that $n = 5$

This probability is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.0039)^{0}.(0.9961)^{5} = 0.9807$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9807 = 0.0193$

0.0193 = 1.93% probability that there is equipment damage to the payload of at least one of five independently dropped parachutes.

5 0

3 years ago

Anyone know the answer??

Vesna [10]

Hi there!

To find the area of the kite, we find the area of both triangles and add them up.

8.5 + 8.5 = 17

17 × 4.93 = 73.81
73.81 ÷ 2 = 36.905

17 × 10.2 = 173.4
173.4 ÷ 2 = 86.7

36.905 + 86.7 = 126.805

The area is the kite is 126.805 m squared.

Hope this helps!

5 0

3 years ago

Use the distributive property to write the expression without parentheses. 7(4a +5)

LuckyWell [14K]

Answer:

28a + 35

Step-by-step explanation:

When you are using the distributive property, you need to multiply the number right outside of the paranethesis to both numbers. In this case, that number is 7. 4a and 5 are in the paranthesis, so we need to multiply 7 to 4a and 5. In the end, we get 28a and 35 or 28a + 35

5 0

3 years ago

Read 2 more answers

Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0,

lesya692 [45]

Answer:

A line passing through the points (-1,-4),(0,0) and (1,4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$