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Lilit [14]
3 years ago
8

he sides of a square are five to the power of two fifths inches long. What is the area of the square?

Mathematics
2 answers:
Tresset [83]3 years ago
6 0
It would be <span>1.9 in.*1.9 in.
1.9*1.9</span>≈3.6 inches^2
lorasvet [3.4K]3 years ago
4 0
So, the area of a square is Length times width, but since it is a square, the value for the length is the wame as the widtch. So, since one side is 5^2/5, would you multiply <span>5^2/5 by itself. When you multiple something with the same bade, you would add the power. So, the answer would be 

5^4/5
</span>
You might be interested in
If you roll a dice and flip a coin, what is the probability you will land on a number greater than 4 and a heads?
irinina [24]

Answer:

you have a 7/12 chance

Step-by-step explanation:

The sample space has 12 elements:

T1, T2, T3, T4, T5, T6

H1, H2, H3, H4, H5, H6

(From a combinatorics perspective, there are 2 options for the coin and 6 for the die for a total of 2 * 6 = 12.)

There are 6 heads results and one tales result that has a 4 for a total of 7 possibilities that meet your criteria. That makes the probability 7 / 12.

here is the link for where i got my answer https://www.quora.com/If-you-flip-a-coin-and-roll-a-die-what-is-the-probability-the-coin-lands-heads-up-or-the-die-lands-showing-the-number-4

4 0
2 years ago
The number of years a radio functions is exponentially distributed with parameter λ = 1 8 . If Jones buys a used radio, what is
blsea [12.9K]

Answer:

P(X>8)=e^{-1}

Step-by-step explanation:

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable that represent "The number of years a radio functions" and we know that the distribution is given by:

X \sim Exp(\lambda=\frac{1}{8})

We can assume that the random variable t represent the number of years that the radio is already here. So the interest is find this probability:

P(X>8|X>t)

We have an important property on the exponential distribution called "Memoryless" property and says this:

P(X>a+t| X>t)=P(X>a)

Where a represent a shift and t the time of interest.

On this case then P(X>8|X>t)=P(X>8+t|X>t)=P(X>8)

We can use the definition of the density function and find this probability:

P(X>8)=\int_{8}^{\infty} \frac{1}{8}e^{-\frac{1}{8}x}dx

=\frac{1}{8} \int_{8}^{\infty} e^{-\frac{1}{8}x}dx

=[lim_{x\to\infty} (-e^{-\frac{1}{8}x})+e^{-1}]=0+e^{-1}=e^{-1}

8 0
2 years ago
1. When professional golfer Jordan Spieth hits his driver, the distance the ball travels can be modeled by
Doss [256]

Answer:

a. About 96% of Spieth's drives travel at least 290 yards

b. The ball has to travel about 314.24 yards

Step-by-step explanation:

* Let us explain how to solve the problem

- The distance the ball travels can be modeled by  distribution with

  mean 304 yards and standard deviation 8 yards

a.

- Jordan would need to hit the ball at least 290 yards to have a clear

 second shot that avoids a large group of trees

- We need to find the percent of Spieth's drives travel at least

   290 yards

∵ The mean μ = 304 yards

∵ The standard deviation σ = 8 yards

∵ The distance x = 290

∵ P(x ≥ 290) = P(z ≥ z)

- We need to find z score

∵ z-score = (x - μ)/σ

∴ z = \frac{290-304}{8} = -1.75

* Let us use the normal distribution table to find the corresponding

 area of z = -1.75

∵ P(-z) = 1 - P(z)

∵ P(z ≥ -1.75) = 1 - 0.04006 = 0.95994

∴ P(x ≥ 290) = 0.96 = 96%

* <em>About 96% of Spieth's drives travel at least 290 yards</em>

b.

- On another golf hole, Spieth has the opportunity to drive the ball

  onto the green if he hits the ball a distance  in the top 10% of all

  his drives

- We need to find how far the ball has to travel

- Let us find the z-score from the normal distribution table for the 10%

  to the right or 90% to the left

∵ The area which equivalent to 0.9 ≅ 0.89973

∴ z = 1.28

∵ z-score = (x - μ)/σ

∴ 1.28 = \frac{x-304}{8}

- Multiply both sides by 8

∴ 10.24 = x - 304

- Add 304 for both sides

∴ x = 314.24 yards

* <em>The ball has to travel about 314.24 yards</em>

8 0
3 years ago
Can someone show me how to work out this example?<br><br><br> (5+44+182−20−10)÷(2+5)
lora16 [44]

Answer:

approximately 35.9

Step-by-step explanation:

(5+44+182-20-10)÷(2+5)

(99+182-20-10)÷(7)

(281-20-10)÷(7)

(261-10)÷÷(7)

(251)÷(7)

approximately 35.9

6 0
3 years ago
You invest $1,250 in a stock. The value of the stock goes up 3.2% and you sell it. How much money did you make?
suter [353]

Answer:

$1290

Step-by-step explanation:

1250x3.2%=40

1250+40=1290

4 0
3 years ago
Read 2 more answers
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