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BaLLatris [955]
4 years ago
8

Chayton read a report that said the probability that a randomly selected American is left-handed is 14\%14%14, percent. He was c

urious how many left-handed students to expect in a class of 202020 students. He simulated 252525 classes of 202020 students where each student selected had a 0.140.140, point, 14 probability of being left-handed. Chayton counted how many left-handed students were in each simulated class. Here are his results: Use his results to estimate the probability that there are 222 or fewer left-handed students in a class of 202020 students. Give your answer as either a fraction or a decimal. P(2\text{ or fewer left-handed})\approxP(2 or fewer left-handed)≈
Mathematics
1 answer:
denpristay [2]4 years ago
4 0

Answer:

0.36 or 9/25

9 students of the 25 twenty-student classes were left handed. Answer can be written as a fraction 9/25 or a decimal, 0.36

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By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 sli
photoshop1234 [79]

Answer:

cholesterol in egg= 273 mg

cholesterol in cupcake = 18 mg

cholesterol in slice of pizza = 9 mg

Step-by-step explanation:

Given data:

1 egg , 1 cupcake , 1 slice of pizza  = 300mg

3 cupcakes , 4 slices of pizza = 90mg

2 eggs , 1 cupcake = 564mg

Let egg be x , let cupcake be y and let pizza be y

x + y + z = 300 (equation 1)

0x + 3y + 4z = 90 (equation 2)

2x + y + 0z = 564 (equation 3)

Using equation 1 and equation 2

x + y + z = 300 (Multiply equation by 3)

0x + 3y + 4z = 90

3x + 3y +3z =900

0x +3y +4z = 90  (Subtracting the equations)

3x - z = 810  (equation 4)

Using equation 2 and equation 3

0x + 3y + 4z = 90

2x + y + 0z = 564 (Multiply equation by 3)

0x + 3y + 4z = 90

6x +3y + 0z = 1692 (Subtracting the equations)

-6x +4z =-1602  (equation 5)

Solving equation 4 and equation 5

3x - z = 810  therefore z =3x -810

Substituting z into equation 5

-6x +4(3x - 810) =-1602  

-6x + 12x - 3240 = -1602

6x = -1602+3240

6x = 1638

x = 273

Substituting x into z = 3x - 810

z = 3(273) - 810

z = 819-810

z = 9

Using equation 1 to find y

x + y + z = 300

273 + y + 9 = 300

282 + y = 300

y = 300-282

y = 18

5 0
3 years ago
Principal, $2000; Annual interest rate, 5.3%; time, 2 years<br> After 2 years?
dangina [55]

Answer:

212 and I= 2000+212

              =2212

Step-by-step explanation:

3 0
4 years ago
Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression
Wewaii [24]

The Z-score is 2.306 to three decimal places. However, the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis \mathbf{H_o}

<h3>What is the Z-score of a test statistic?</h3>

A z-score is a measurement of how often standard deviations the score obtained from a z-test is beyond or under the mean population.

From the given data information, let us find the mean and the standard deviation.

\mathbf{Mean (\bar  x) = \dfrac{1154+5998+1007+...3987+4187+887}{10}}

\mathbf{Mean (\bar  x) = \dfrac{24256}{10}}

Mean (x) = 2425.6

The hypothesis testing can be computed as:

\mathbf{H_o: \mu = 2425.6}

\mathbf{H_1: \mu \ne 2425.6}

The standard deviation (σ) is:

\mathbf{=\mathbf{ \sqrt{\dfrac{(1154-2425.6)^2+....+(887-2425.6)^2}{10-1}}}}

\mathbf{= \sqrt{3199489}}

= 1788.71

Now, the Z-test statistic is determined using the formula:

\mathbf{|Z| = |\dfrac{\bar x - \mu }{\sigma}| }

\mathbf{|Z| = |\dfrac{2425.6 -6550 }{1788.71}| }

\mathbf{|Z| = |-2.3058|  }

Z ≅ 2.306  

Therefore, at a 0.05 level of significance, the Z-critical value is 2.306. However, since the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis \mathbf{H_o}

The complete question is given as:

Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression in 10 different samples of lung tissue, and obtains these data:

  • 1154 5998 1007 2501 1000 988 2547 3987 4187 887

Scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,550. Calculate the Z-score associated with a test to see if the average expression of FOXP in her lung tissue samples is different from the levels she measured from brain tissue.

Learn more about calculating the Z-score of a test statistics here:

brainly.com/question/15569214

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8 0
2 years ago
What is the domain of the function <br>y=e2​
ludmilkaskok [199]

Answer:

Juro por Dios que si este estúpido sitio web me prohíbe, estaré tan enojado

Step-by-step explanation:

5 0
3 years ago
A $950 deposit for 18 years compounded at<br> an annual interest rate of 2.21%
pantera1 [17]

Answer: 1408.01$

Step-by-step explanation: Use the compound interest formula P*(1+r)^n Where P is the initial value, r is the interest rate, and n is the number of periods

7 0
3 years ago
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