The ratio of boys to girls in a classroom is 7 to 11. If there are a total of 49 boys in the classroom, then how many boys and girls are there all together?

Answers

Answer 1

Answer: 65

Step 1: Multiply and add until you get 49.

11 x 4 = 44.

44 + 5 = 49.

Step 2: Multiply and add until you get 26, because 7:11 to 49 boys is 26,       26 : 49.

7 x 3 = 21.

21 + 5 = 26.

Step 3: Add 26 and 49.

26 + 49 = 65

Answer 2

Answer:

126 students

Step-by-step explanation:

Boys : Girls

7 : 11

How do you get from 7 to 49?

49 ÷ 7 = 7

Therefore, you should multiply the number of boys by 7.

Multiply:

7 : 11

7 × 7 = 49

49 : 11

Remember that whatever we do to the left, do to the right.

Multiply:

49 : 11

11 × 7 = 77

49 : 77

Now, let's add the number of boys and girls in the class to find the total number of students.

Add:

49 + 77 = 126

Therefore, there are 126 students in all.


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Answer:

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Step-by-step explanation:

How this helped!

Lead in Medicine Listed below are the lead concentrations (in μg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States (based on data from "Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet," by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g.
3.0 6.5 6.0 5.5 20.5 7.5 12.0 20.5 11.5 17.5

Answers

Step-by-step explanation:

We start by calculating mean and standard deviation

Mean = sum of all values/total number of values

= 110.5/10

= 11.05

Standard deviation = √375.725/9

= √41.7472

= 6.46

Null hypothesis =

h0: μ = 14

Alternate hypothesis =

H1: μ < 14

Alpha is set at 0.05

Test statistic

T = mean - (μ)/(sd/√n)

=(11.05-14)/(6.46/√10)

= -2.95/2.0428

= -1.4441

P value calculator

df = n-1 = 10 -1 = 9

P Value = trust(x,df,tails)

= trust(1.4441,9,1)

= 0.0913

In conclusion our pvalue is greater than alpha level at 0.05 so we do not have sufficient evidence to reject the null hypothesis. We do not have enough evidence to accept the alternate so we reject claim that mean lead concentration for all such medicine is < than 14μg/g

An industrial/organizational psychologist is consulting with Family Practice Pediatrics, which has just lost several of its best doctors to a rival pediatric practice. The management at Family Practice would like to know what it can do to increase job satisfaction for its remaining pediatricians. The psychologist is trying to determine whether significant information will be lost if she surveys a subset rather than every single pediatrician at Family Practice.
The following table lists the job satisfaction scores for all eight pediatricians at Family Practice as well as four examples of possible four-pediatrician samples. At the bottom of the table, the variance listed in the second column for all eight pediatricians is the population variance for the eight pediatricians (that is, sigma^2 = SS/N = SS/8). The variances listed in the third through the sixth columns are the sample variances for each of the four-pediatrician samples (that is, s^2 = SS/(n - 1) = SS/3).
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B 6 x x x x
C 8 x x x
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F 2 x
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Variance 5.50 2.25 1.67 6.25 4.67
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What is the mean of the four sample variances?
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A sample statistic is_______ if it consistently underestimates or overestimates the corresponding population parameter.
A sample mean (that is, M = sigma X/n) is_________ estimator of the population mean. A sample variance that is computed as s^2 = SS/(n - 1) is estimator of the population variance.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

What is the mean of the four sample means is  [tex]\= x  =  6.125 [/tex]

What is the mean of the four sample variances is   [tex]\= x_v  =  3.71[/tex]

A sample statistic is an unbiased  point estimator  if the average value of the sample statistic, obtained over all possible samples, is equal to the population parameter.

A sample statistic is biased if it consistently underestimates or overestimates the corresponding population parameter.

A sample mean (that is, M = sigma X/n) is unbiased estimator of the population mean

A sample variance that is computed as s^2 = SS/(n - 1) is unbiased estimator of the population variance.

Step-by-step explanation:

From the question we are told that

   Mean    6.00   6.75    6.50    5.25    6.00

   Variance    5.50    2.25    1.67   6.25  4.67

Generally the mean of the four sample means is mathematically represented as

      [tex]\= x  =  \frac{6.00+   6.75 +   6.50  +  5.25  +  6.00}{4}[/tex]

=>  [tex]\= x  =  6.125 [/tex]

Generally the mean of the four sample variances is mathematically represented as

      [tex]\= x_v  =  \frac{5.50+ 2.25+ 1.67+ 6.25 +4.67}{4}[/tex]

=>    [tex]\= x_v  =  3.71[/tex]

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Answers

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Step-by-step explanation:

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Let us use this rule to solve our question

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Answers

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