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3 years ago

-6

11" alt=" - 6 + 3 \times 4 - 11" align="absmiddle" class="latex-formula">
+3x4-11

Mathematics

2 answers:

ipn [44]3 years ago

4 0

The answer is -5

Explanation:

-6 + 3 x 4 -11=
-6 + 12 -11=
+ 6 -11 = -5

nata0808 [166]3 years ago

3 0

The answer is -5 you just need to simplify

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Divide. Write your answer in lowest terms. 3/4 divided by 6/1

Trava [24]

Since dividing fractions are not possible, you must first find the reciprocal of 6/1 which is 1/6. And the equation would be written as 3/4*1/6. Cross cancel the 3 and 6 leaving 1/4*1/2=1/8. Thus, your answer is lowest terms is, 1/8.

8 0

3 years ago

Please help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Wittaler [7]

Answer:

-4 5/12

Step-by-step explanation:

-23/3 + (-11/2) + 35/4

Find a common denominator (12).

-92/12 + (-66/12) + 105/12

Reform the equation to have this as a single fraction.

(-92 + (-66) + 105)/12

Subtract 66 from -92 to get -158.

(-158 + 105)/12

Add 105 to -158 to get -53.

-53/12

Convert into a mixed number by dividing by 12.

-4 5/12 (Choice A) is your answer.

6 0

3 years ago

The number of motor vehicles registered in millions in the US has grown as follows:

zysi [14]

Answer:

a) Figure attached

b) $r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

4 0

2 years ago

How can you put 32.3 as a mixed number in the simplest form

ludmilkaskok [199]

32.3 is a decimal number in which 3 is the digit at the tenth place.

Mixed number contains a whole number and a fraction part.

32.3 expressed as mixed fraction is $32\frac{3}{10}$ , here 32 is the whole number and $\frac{3}{10}$ is the fraction part.

$\frac{3}{10}$ is the fraction in the simplest form.

For this reason, 32.3 expressed as a mixed number in the simplest form is $32\frac{3}{10}$ .

7 0

3 years ago

There are 15 candidates for 4 job positions.

Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

Total Possible Selection = 32760 ways

Method 2:

This can be solved using permutation method which goes thus;

$nPr = \frac{n!}{(n-r)!}$

Where n = 15 and r = 4

So;

$nPr = \frac{n!}{(n-r)!}$ becomes

$15P4 = \frac{15!}{(15-4)!}$

$15P4 = \frac{15!}{11!}$

$15P4 = \frac{15*14*13*12*11!}{11!}$

$15P4 = 15*14*13*12$

$15C4 = 32760$

Hence, there are 32760 ways

8 0

3 years ago