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Usimov [2.4K]
2 years ago
12

A box of chocolates contains 18 chocolate squares. 10 of the squares are milk chocolate. 5 are dark chocolate and 3 are white ch

ocolate if christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square
Mathematics
1 answer:
4vir4ik [10]2 years ago
6 0

Answer:

Either %16.67 or %17 if rounded

Step-by-step explanation:.

An easy way to do this is convert the probability from a fraction into a percent. We can do this by taking the total number of chocolate squares (18) and using this as a denominator. Then take the number of white chocolate squares (3) and using this as our numerator. This give us a fraction of 3/18. Now to turn this into a percent, we need to find what you need to multiply 18 by to get 100. We can do this easily by deviding 100 by 18. This is a long decimal so i'll keep it in fraction form (100/18). Now you just have to multiply 3 by (100/18). This is about 16.67. If the answers are rounded it will be 17%.

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Which trig ratio should you use to find the given side?
Zigmanuir [339]

Answer:

D. cosine

Step-by-step explanation:

As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.

In a right angle triangle, there is a formula as following:

<em>cosine (of an acute angle) = length of  adjacent side/ length of hypotenuse</em>

In the figure, the point of angle B and length of hypotenuse AB are given.

We have to calculate x - length of the given side. As BC is the adjacent side of angle B

=> we can use the above formula to calculate x

So that we can use cosine

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Let (a) be a rational number and (b) an irrational number. Which of these statements would be true? Check all that apply
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Why is renting sometimes considered “throwing money away”?
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7 0
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Read 2 more answers
Solve for x. 1.1x + 1.2x - 5.4 = -10
Andru [333]

Answer:

x ≈  - 1.83

Step-by-step explanation:

to solve for x in the question 1.1x + 1.2x - 5.4 = -10

we have

2.3x - 5.4 = -10

collect the like terms

2.3x = -10 + 5.4

2.3x = -4.2

divide both sides by the coefficient of x

2.3x/2.3 = -4.2/2.3

x = -1.826

x ≈  - 1.83

4 0
3 years ago
TV advertising agencies face increasing challenges in reaching audience members because viewing TV programs via digital streamin
choli [55]

Answer:

a) The 99% confidence interval would be given (0.523;0.577).

We are 99% confident that this interval contains the true population proportion.

b) n=\frac{0.55(1-0.55)}{(\frac{0.03}{2.58})^2}=1830.51  

And rounded up we have that n=1831

Step-by-step explanation:

Data given and notation  

n=2341 represent the random sample taken    

X represent the people that they have watched digitally streamed TV programming on some type of device

\hat p=0.55 estimated proportion of people that they have watched digitally streamed TV programming on some type of device  

\alpha=0.01 represent the significance level

Confidence =0.99 or 99%

z would represent the statistic for the confidence interval  

p= population proportion of people that they have watched digitally streamed TV programming on some type of device

The population proportion present the following distribution:

p \sim N (p, \sqrt{\frac{p(1-p)}{n}}

Part a) Confidence interval

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.55 - 2.58 \sqrt{\frac{0.55(1-0.55)}{2341}}=0.523

0.55 + 2.58 \sqrt{\frac{0.55(1-0.55)}{2341}}=0.577

And the 99% confidence interval would be given (0.523;0.577).

We are 99% confident that this interval contains the true population proportion.

Part b) What sample size would be required for the width of a 99% CI to be at most 0.03 irrespective of the value of p??

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.55(1-0.55)}{(\frac{0.03}{2.58})^2}=1830.51  

And rounded up we have that n=1831

8 0
4 years ago
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