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worty [1.4K]
1 year ago
10

Theoretical Probability - Guided Practice#1 - All of the letters in the word Mississippi are written on separate pieces of paper

and putin a hat. Find the probability in drawing the letter s from the hat.O 34.6%O 38.4%O 36.4%0 45.5%
Mathematics
1 answer:
Naily [24]1 year ago
5 0

The probability = outcome/total outcomes

The total of the outcomes is the total number of the letters of the given word, then

The total outcomes = 11

The outcome is the number of letter "s" in the word

The outcome = 4, then

The probability of "s" is

P(s)=\frac{4}{11}

To change it to percent multiply it by 100% and round it to the nearest 1 decimal place

\begin{gathered} P(s)=\frac{4}{11}\times100 \\ P(s)=36.4 \end{gathered}

The answer is 36.4%

Answer C

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16 The perimeter of the pentagon is equal to the perimeter of the square.
STatiana [176]

7x+2

Step-by-step explanation:

add all the sides of the pentagon and make it equal to the perimeter of the square which is 4y

sides of the pentagon are

5x+3

2x+3

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9x-10

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28x+8=4y

7x+2 = y

7x+2 = answer

gathmath

gathmathier6961

another way :

in a standardized test you may want to use real numbers

make x equal a prime number like 3

so then the sides are

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17

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92

then divide by 4

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then divide by 3

which is 7 remainder of 2

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7x+2

8 0
2 years ago
Does a sheet of paper accurately represent a plane?
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6 0
4 years ago
Eric made a scale drawing of the middle school. The scale he used was 1inch=5feet. If the gym is 30 inches by 20 inches in the d
BabaBlast [244]

Answer: 150 feet : 100 feet

Step-by-step explanation:

From the question, we are informed that the scale used by Eric was 1inch=5feet.

If the gym is 30 inches by 20 inches in the drawing, the acual length and width of the gym would be:

Length = 30 inches = 30 × 5 feet = 150 feet

Width = 20 inches = 20 × 5 feet = 100 feet

Therefore, the acual length and width of the gym would be 150 feet by 100 feet

6 0
3 years ago
Read 2 more answers
ELLUNG UNTU
34kurt

Answer: Rs. 100

Step-by-step explanation:

Given the following :

Total expenditure for dance show = Rs. 25000

Profit made except expenditure = Rs. 12,000

Number of people who observed and paid for the show = 370

Amount paid per person will be :

(Total amount or revenue realized / number of observers who paid)

Total revenue realized = (total expenditure + profit made)

Total Revenue realized = Rs.(25,000 + 12,000) = Rs. 37,000

Amount paid per observer = (Rs. 37,000 / 370)

= Rs. 100

8 0
3 years ago
preliminary sample of 100 labourers was selected from a population of 5000 labourers by simple random sampling. It was found tha
VladimirAG [237]

Answer:

n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79  

n=369

Step-by-step explanation:

1) Notation and definitions

X=40 number of the selected labourers opt for a new incentive scheme.

n=100 random sample taken

\hat p=\frac{40}{100}=0.4 estimated proportion of the selected labourers opt for a new incentive scheme.

p true population proportion of the selected labourers opt for a new incentive scheme.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

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

2) Solution tot he problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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 0.05 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{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79  

And rounded up we have that n=369

8 0
3 years ago
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