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Kruka
10 days ago
9

Alejandro wants to determine the average shoe size of all of the male students in his school. Which sample is likely to yield th

e most biased results? A.every tenth boy on the school’s phone list B.every member of the boys’ basketball team C.every boy in a randomly selected ninth-, tenth-, eleventh-, and twelfth-grade gym class D.every fifth boy who walks through the front doors of the school in the morning
Mathematics
2 answers:
lawyer [12.1K]10 days ago
5 0
Option: B is the right choice. B. Every member of the boys' basketball team. A biased sample is one that isn't random, as it indicates a preference in selection. A.) Every tenth boy from the school’s phone directory is random, giving every student an equal chance of selection, thus, it’s not biased. C.) Every boy in randomly chosen ninth-, tenth-, eleventh-, and twelfth-grade gym classes is also random, making this option incorrect. D.) Every fifth boy entering the school in the morning has equal selection probability as well, so it doesn't represent bias. B.) Every member of the boys' basketball team constitutes a biased sample, since they tend to be taller, leading to larger shoe sizes. Thus, it doesn't represent the average shoe size of male students in the school.
Svet_ta [12.2K]10 days ago
5 0
B. every member of the boys' basketball team, as basketball players are typically taller, resulting in larger feet which do not accurately reflect the average shoe size of the male students. 
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Yuson must complete 210 min of community service. She does 30 min each day. Which linear equation represents the number of minut
PIT_PIT [11918]

Answer:

Comprehensive explanation:y=-30x+210

Let's denote

x -----> the number of days

and

y ----> the remaining minutes for Yuson

We know that

The linear equation in slope-intercept form can be represented as

y=mx+b

here

m indicates the slope

b represents the y-coordinate of the y-intercept (starting value)

In this scenario, we have

The slope is defined as

m=-30\frac{min}{day} ----> negative, as it indicates a decreasing function

b=210\ min ----> initial value

substituting the values

y=-30x+210

3 0
16 days ago
A bag contains chips of which 27.5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacem
lawyer [12109]

Answer:

\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=0.1997

Step-by-step explanation:

It is known that the mean and standard deviation of the sampling distribution of the sample proportion(\hat{p}) are represented as follows:-

\mu _{\hat{p}}=p\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}

, where p= Population proportion and n = sample size.

Let p denote the proportion of blue chips.

According to the information provided, we have

p= 0.275

n= 5

Thus, the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 will be:

\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{ 0.275(1- 0.275)}{5}}\\\\=0.19968725547\approx0.1997

Therefore, you will have the mean and standard deviation for the sample proportion of blue chips for samples of size 5:

\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=0.1997

6 0
12 days ago
Which are the roots of the quadratic function f(b) = b2 – 75? Select two options. b = 5 StartRoot 3 EndRoot b = Negative 5 Start
zzz [11826]

Answer:

b = 5√3

b = -5√3

Step-by-step explanation:

We have

f(b)=b^{2}-75

Keep in mind, the root of a function corresponds to the value of x at which the function's output is zero.

In this case

The roots of the equation are the b values for which f(b) equals zero.

Thus

For f(b)=0

b^{2}-75=0

b^{2}=75

Take the square root of both sides

b=(+/-)\sqrt{75}

Now simplify

b=(+/-)5\sqrt{3}

b=5\sqrt{3}  and b=-5\sqrt{3}

So we find that

b = 5√3

b = -5√3

8 0
1 month ago
Read 2 more answers
A neighborhood is trying to set up school carpools, but they need to determine the number of students that need to travel to the
AnnZ [11925]

Answer:

The correct selection is 1.

Step-by-step explanation:

The histogram indicates that

In the 5-10 age group, there are 7 students.

In the 11-13 age group, 5 students are represented.

In the 14-18 age category, 4 students are included.

This implies that the ages of 7 students fall within the 5-10 range, 5 students within the 11-13 range, and 4 students within the 14-18 range.

The total count in the dataset is 7+5+4=16

In options 3 and 4, the counts in the datasets are fewer than 16. Hence, options 3 and 4 are invalid.

Option 2 exclusively contains data within the 5-10 range, making it incorrect as well.

In option 1,

Class intervals      elements           frequency

5-10                    5,6,7,8,9,10,10           7

11-13                  11,11,12,12,13            5

14-18                    14,14,15,16              4

Based on the above table, we can determine that data set 1 is represented in the provided histogram.

Thus, the answer is option 1.

4 0
21 day ago
Read 2 more answers
1. Darnell reads at a constant rate
Svet_ta [12287]

Answer:

Darnell reads 1,715 words in 7 minutes.

Step by step Explanation:

1. First, determine how many words he can read in a minute by dividing 735 words by 3. The result is 245.

245

______

3)735

6 drop the 3 to form 13

-_____

1 3

12 drop the 5 to make 15

-______

1 5

15

___________

0

2. Next, since he reads 735 words over 3 minutes, multiply that by 2 to find words read in 7 minutes: 3×2=6, thus, 735+735 (735×2) equals 1,470 words.

3. Finally, add 245 to account for the last minute we calculated. Therefore, the total is 1,715 words in 7 minutes.

8 0
1 month ago
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