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V125BC [204]
3 years ago
6

According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o

f Skittles, what is the probability that the proportion in our sample of red candies will be less than 20%
Mathematics
1 answer:
igomit [66]3 years ago
5 0

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

               \frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } ~ N(0,1)

where, p = 0.20 and n = 100

Let \hat p = proportion of red candies in our sample

So, P(\hat p < 0.20) = P(\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } < \frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } } ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

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babunello [35]

Answer:

-6.5

Step-by-step explanation:

x + 3.6 = -2.9

x= -6.5

5 0
3 years ago
Max is buying a home worth $250,000. He will pay 3 percent in closing costs and 12 percent for a down payment. Calculate how muc
Svet_ta [14]
Hey there, Lets solve this together, 

We all know that you will <span>start off with 250,000 and multiply that by 3%, which is the same thing as .03 in decimal form.
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= 7500

You do the same thing again. 

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6 0
3 years ago
3/4 3√128. simplify?<br>kindly<br>​
lisov135 [29]

Answer:  3∛2

<u>Step-by-step explanation:</u>

First, factor 128 .... you need three common factors to bring one on the outside of the radical.

\dfrac{3}{4}\sqrt[3]{128} \\\\\\=\dfrac{3}{4}\sqrt[3]{4\cdot 4\cdot 4\cdot 2} \\\\\\=\dfrac{3}{4}\cdot 4\sqrt[3]{2} \\\\\\=\large\boxed{3\sqrt[3]{2} }

6 0
3 years ago
Read 2 more answers
Write a power represented with a positive base and a positive exponent whose value is less then the base
sasho [114]

Answer:

The question is open ended as i suppose since there are infinitely many possibilities. one possible form of the solution can be 5^{2}

Step-by-step explanation:

The base in this case is 5 while the exponent is simply the power to which the base is raised in which case it would be 2. Both values are positive and the exponent is less than the base.

6 0
3 years ago
What is the 13th term of the geometric sequence<br> 4, 12, 36, 108, ...?
bogdanovich [222]

Answer: 2,125,764

Step-by-step explanation:

You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term

The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:

y=4*3^(n-1)

Substitute 13 for n:

y=4*3^(13-1)

y=4*3^12

y=2125764

Therefore, the 13th term of this geometric sequence is 2,125,764

7 0
2 years ago
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