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3 years ago

I am trying to graduate HS please help me out!!!

Mathematics

1 answer:

vichka [17]3 years ago

6 0

1. To solve this exercise, you must apply the formula for calculate the area of a trapezoid, which is shown below:

A=(b1+b2/2)h

A is the area of the trapezoid.
 b1 is the larger base of the trapezoid (b1=16-4=12 ft).
 b2 is the smaller base of the trapezoid (b2=10-4=6 ft).
 h is the height of the trapezoid (h=12-4=8 ft)

2. When you substitute these values into the formula A=(b1+b2/2)h, you obtain:

A=(b1+b2/2)h
 A=(12 ft+6 ft/2)(8 ft)
 A=9 ftx8ft
 A=72 ft²

3. The length of fencing is: a²=b²+c² a=√b²+c² a=√(8 ft)²+(6 ft)² a=10 ft Perimeter (Length of fencing)=12 ft+8 ft+6 ft+10 ft=36 ft

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Answer:

710

Step-by-step explanation:

81+74+72+66+67+72+66+66+72+65+71= 701

701 rounded to the nearest tenth is 710

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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

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3 years ago

Josh simplified 4x - 8x ÷ 2 and said the answer was -2x. What was josh's error? What should his answer have been?

Svetradugi [14.3K]

Answer:

see explanation

Step-by-step explanation:

Given

4x - 8x ÷ 2

Under the rules of PEMDAS , division must be performed before subtraction.

Hence

4x - 8x ÷ 2 = 4x - 4x ← dividing - 8x by 2, then

4x - 4x = 0 ← correct answer

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3 years ago

Which expression is equivalent to (8^2)^-4

xz_007 [3.2K]

Answer:

C: $\frac{1}{8*8*8*8*8*8*8*8}$

Step-by-step explanation:

$a^{-n} = \frac{1}{a^n}$

Since a = $8^2$ :

$(8^2)^{-n} = \frac{1}{(8^2)^n} =\frac{1}{8^{2n}}$

Since n = 4 :

$(8^2)^{-4} =\frac{1}{8^{2*4}}=\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}$

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3 years ago

There are 5 pens in a container on your desk. Among them, 3 will write well but 2 have defective ink cartridges. You will select

Norma-Jean [14]

Answer:

Kindly check explanation

Step-by-step explanation:

Total Number of pens = 5

Number of defective pens = 2

Number of non-defective pens = 3

A.) number of defective pens selected :

X : {0, 1, 2}

It is possible that no defective pen will be selected ; 1 defective will be chosen or both pens are defective.

2.)

Defective as Success (since selecting a defective pen is the point of interest.

3.)

Since selection is done without replacement

Probability of success per selection is different for each selection ;

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P(success on second selection) = 1/4

Hence, X is not well approximated by a binomial random variable.

4.) if selection is done with replacement ; then then the probability of success per selection will be the Same for each selection made. Hence, X will be well approximated by a binomial Random variable.

5.) If sampling is done without replacement, then the the hypergeometric function will be a more effective approximation.

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3 years ago