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GREYUIT [131]
3 years ago
12

Alima is solving a question, where a given number has to be multiplied by 15. Alima did not read the question carefully, and mul

tiplied the number by 5 (instead of 15). If her answer is 150 less than the correct answer, find the given number.
Mathematics
1 answer:
loris [4]3 years ago
3 0

x    -  Alma's given number

15•x  -  the number multiplied by 15 (the correct answer)

5•x   - the number multiplied by Alma (Alma's answer)

her answer is 150 less than the correct answer:

5•x = 15•x - 150

15x - 150 = 5x

15x - 5x = 150

 10x = 150

   <u>x = 15</u>

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Factorise each of the following<br> a2+9a+8
Tanzania [10]

Answer:

Step-by-step explanation:

I suppose the expression is this a^2+9a+8.

We can factor out this expression ( Remember, find two numbers that the sum is 9 and the product is 8. The numbers are 8 and 1)

a^2+9a+8=(a+1)(a+8)

8 0
2 years ago
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Three classes. Of third graders are going to the zoo. Ms. Noels class has 10 students. Mr. Grubbs class has 9 students, and Ms.
liq [111]

Answer:

If the children divide evenly onto 3 buses, there will be 11 children on each bus

Step-by-step explanation:

Add all 3 classes to ind total amount of students

Ms. Noels class has 10 students

Mr. Grubbs class has 9 students

Ms. Ackerman's class has 14 students

<u>Total Students:</u> 10 students + 9 students + 14 students

33 total students

Dividing 33 students in 3 busses is 33 / 3 which equals 11

4 0
2 years ago
The ages of the Oscar-winners for best actor and actress for the years 1970 through 1990 are given below: Women: 34, 34,26,37,42
Artemon [7]

Answer:

See explanation below.

Step-by-step explanation:

Numerical way

We can calculate the mean and the standard deviation from a sample with the following formulas:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s= \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

We have the following dataset for women: 34,34,26,37,42,41,35,31,41,33,30,74,33,49,38,61,21,41,26,80,72

And the mean and deviation are:

\bar X_F = 41.857

s_F = 16.399

We can calculate the median ordering the data like this:

21,26,26,30,31,33,33,34,34,35,37,38,41,41,41,42,49,61,72,74,80

And the median would be on the 11 position of the data ordered, for this case is:

median_F = 37

Minimum_F = 21 , Maximum_F = 80

And the range is given by: Range_F = 80-21=59

We can also calculate the coefficient of variation given by:

\hat{CV} =\frac{s}{\bar X} = \frac{16.399}{41.857}=0.392

We have the following dataset for men:

43, 40,48,48,56,38,60,32,40,42,37,76,39,55,45,35,61,33,51,32,42

And the mean and deviation are:

\bar X_M = 45.381

s_M = 11.218

We can calculate the median ordering the data like this:

32, 32,33,35,37,38,39,40,40,42,42,43,45,48,48,51,55,56,60,61,76

And the median would be on the 11 position of the data ordered, for this case is:

median_M = 42

Minimum_M = 32 , Maximum_F = 76

And the range is given by: Range_M = 76-32=44

We can also calculate the coefficient of variation given by:

\hat{CV} =\frac{s}{\bar X} = \frac{11.218}{45.381}=0.247

We se that the mean for the male groups is higher than the mean for female group. The deviation is higher for the female group comapred to the male group. We have more variation for the female group as we can see on the range and the coeffcient of variation.

Graph

We can see the histograms for each group on the figures attached.

As we can see the histogram for males is skewed to the right with the median lower than the mean.

By the other hand the histogram for the female group seems to be skewed to the right also but with missing values on the interval 50-60, for this reason we have more variation compared to the male group.

7 0
3 years ago
Can someone help me... What is the answer
serious [3.7K]

z = 2y

Step-by-step explanation:

x = 2y..... (given)

z = x... (exterior alternate angles)

z = 2y

8 0
2 years ago
Which r–value represents the strongest negative correlation?<br><br> –0.7<br> –0.22<br> 0.38<br> 0.9
inn [45]

Answer:

Option A is correct.

The value of r = -0.7 represents the strongest negative correlation.

Step-by-step explanation:

A correlation is a  value that describes a relationship between two things  or variables.

Strongest Negative Correlation says that closer a negative correlation to -1, the stronger the relationship between the two variables.

From the options,  we have only two negative values i.e, r= -0.7 and r= -0.22.

We have to find the strongest negative correlation r-value.

By the definition, you can see that -0.7 is very closer to -1 ,

therefore, the  value of r = -0.7 represents the strongest negative correlation.


3 0
3 years ago
Read 2 more answers
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