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egoroff_w [7]
3 years ago
15

Simplify (2^5/3^2)^4

Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0

Answer:

( 2^(20) / 3^(8) )

Step-by-step explanation:

(2^5/3^2)^4

=>( 2^(5(4)) / 3^(2(4)) )

=> ( 2^(20) / 3^(8) )

You might be interested in
The length of a rectangle is four times its width. If the perimeter of the rectangle is 90 cm, find its area
Sunny_sXe [5.5K]

Answer:

324

Step-by-step explanation:

L = 4W

P = 2L + 2W = 90

---

2L + 2W = 90

2(4W) + 2W = 90

8W + 2W = 90

10W = 90

---

W = 9

L = 36

---

 

A = 324

---

7 0
3 years ago
He tells you that each small pizza only gets ⅛ of a pound of cheese. Sal yells for you to run to the cooler and get the exact am
sleet_krkn [62]

Answer:

2 pounds

Step-by-step explanation:

8 pizzas= 1 pound of cheese

8+8=16

16 pizzas = 2 pounds of cheese

3 0
2 years ago
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t
34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875

8 0
3 years ago
3. I am collecting baseball cards. My goal before I turn 18 is to have 500 cards. When I tumed 10,
vladimir2022 [97]

Based on the scenario given, the equation to describe the situation will be: c + 125 + 89 = 500 and 286 cards need to be collected.

Number of cards given by grandfather = 125 cards

Number of cards that will be given by father = 89 cards

Therefore, based on the information given, the equation to describe the situation will be:

c + 125 + 89 = 500

Therefore, we can then use the equation to calculate the number of cards that need to be collected. This will be:

c + 125 + 89 = 500

c + 214 = 500

c = 500 - 214

c = 286

Therefore, the person needs to collect 286 cards.

Read related link on:

brainly.com/question/24910157

7 0
2 years ago
Max is 6 years older than his brother. If Max is M years old, then his brother is ____ years old.
Doss [256]
Max' brother is M-6 years old.
6 0
3 years ago
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