The battle of English and Mathematics

Work out this question pls

KatRina [158]

Answer:

3 3/16

Step-by-step explanation:

Conversion a mixed number 8 1/2

to a improper fraction: 8 1/2=8×2+1/2=16+1/2=17/2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2×3/3= 6/

3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Divide: 17/2×8/3=17/2×3/8=17×3/2×8= 51/

16

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/3 is 3/8) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen halves divided by eight thirds = fifty-one sixteenths.

51/16

3 3/16

7 0

2 years ago

Anna makes a pot of vegetable bean soup. She is using 1/4 cup measuring cup. How many times will Anna need to fill the measuring

docker41 [41]

Answer:

3 1/2

Step-by-step explanation:

1/4=2/8

7/8 divided by 2/8= 3 1/2

6 0

3 years ago

Dylan’s essential (fixed) expenses are $900 per month, his essential (flexible) expenses are $400 per month, and his non-essenti

notka56 [123]

The Following "Verified" Answer is wrong. On Financial Math the answer is...

C.

$1,285

4 0

3 years ago

Read 2 more answers

4x + 4y + 2z = 8

Vikentia [17]

The answer is no, because the first two equations are right but the third equation equals -16 instead of -15. So the answer is no (2,-2,4) is not the solution to all the system of equations.

5 0

3 years ago

A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distri

nlexa [21]

Answer:

$df=categor-1=6-1=5$

The critical value can be founded with the following Excel formula:

=CHISQ.INV(1-0.05,5)

And we got $\chi^2_{critc}= 11.0705$

a. 11.070

And since our calculated value is lower than the critical we FAIL to reject the null hypothesis at 5% of significance

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Solution to the problem

For this case we want to test:

H0: Absenteeism is distributed evenly throughout the week

H1: Absenteeism is NOT distributed evenly throughout the week

We have the following data:

Monday Tuesday Wednesday Thursday Friday Saturday Total

12 9 11 10 9 9 60

The level of significance assumed for this case is $\alpha=0.05$

The statistic to check the hypothesis is given by:

$\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

The table given represent the observed values, we just need to calculate the expected values with the following formula $E_i = \frac{60}{6}= 10$ and the expected value is the same for all the days since that's what we want to test.

now we can calculate the statistic:

$\chi^2 = \frac{(12-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(11-10)^2}{10}+\frac{(10-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(9-10)^2}{10}=0.8$

Now we can calculate the degrees of freedom (We know that we have 6 categories since we have information for 6 different days) for the statistic given by:

$df=categor-1=6-1=5$

The critical value can be founded with the following Excel formula:

=CHISQ.INV(1-0.05,5)

And we got $\chi^2_{critc}= 11.0705$

a. 11.070

And since our calculated value is lower than the critical we FAIL to reject the null hypothesis at 5% of significance

4 0

3 years ago