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2 years ago

For 21-22, simplify the algebraic expressions. 21. -3(6y) 22. -7a(3b)

Mathematics

2 answers:

Monica [59]2 years ago

8 0

21.

-3(6y)

multiplying we get

-18y

22.

-7a(3b)

on multiplying we get

-21ab

Tomtit [17]2 years ago

3 0

(21)

$-3(6y)$

we can multiply it

$=-3*6*y$

$=-18*y$

$=-18y$ ............Answer

(22)

$-7a(3b)$

we can multiply it

= $-7a*3b$

= $-7*a*3*b$

we can rearrange it

= $-7*3*a*b$

= $-21*a*b$

= $-21ab$ ...............Answer

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In quadrant 2 is where it lies.

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2 years ago

There is a 30 percent chance that A can fix her busted computer. If A cannot, then there is a 40 percent chance that her friend

Solnce55 [7]

Answer:

(a) 0.70

(b) 0.40

Step-by-step explanation:

Mutually-exclusive events are those events which cannot occur together.

Consider that events X and Y are mutually exclusive.

P (X and Y) = 0

Here the two events can be defined as follows:

A = A can fix the busted computer

B = B can fix the busted computer

The information provided are as follows:

P (A) = 0.30

P (B) = 0.40

If A cannot, then there is a chance that her friend B can fix it.

The above statement suggest that the events A and B are mutually exclusive, i.e. if A can fix the computer then B does not have to and if cannot then only B will fix it.

That is, P (A and B) = 0.

(a)

Compute the probability it will be fixed by either A or B as follows:

P (A or B) = P (A) + P (B) - P (A and B)

= 0.30 + 0.40 - 0

= 0.70

Thus, the probability it will be fixed by either A or B is 0.70.

(b)

Compute the probability that if it is fixed it will be fixed by B as follows:

P (not A and B) = P (B) - P (A and B)

= 0.40 - 0

= 0.40

Thus, the probability that if it is fixed it will be fixed by B is 0.40.

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2 years ago

1. Consider the data set 1,2,3,4,5,6,7,8,9.

ivanzaharov [21]

Answer: a) Mean = 5, Median = 5

b) Mean = 15, Median = 5

c) Due to presence of outlier i.e. 99.

Step-by-step explanation:

Since we have given that

1,2,3,4,5,6,7,8,9

Here, n = 9 which is odd

So, Mean would be

$\dfrac{1+2+3+4+5+6+7+8+9}{9}=\dfrac{45}{9}=5$

Median = $(\dfrac{n+1}{2})^{th}=\dfrac{9+1}{2}=5^{th}=5$

If 9 is replaced by 99,

1,2,3,4,5,6,7,8,99

So, mean would be

$\dfrac{1+2+3+4+5+6+7+8+99}{9}=\dfrac{135}{9}=15$

Median would be same as before i.e. 5

The mean is neither central nor typical for the data due to outlier i.e. 99

Hence, a) Mean = 5, Median = 5

b) Mean = 15, Median = 5

c) Due to presence of outlier i.e. 99.

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If a basketball has a volume of 12,114.7 cm3, what is the distance across of a basketball

kirza4 [7]

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So the diameter is about 28.5 cm (14.25 x 2 = 28.5)

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Leokris [45]

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a = √256 in²
a = 16 in

Thus, the length of the base is 16 in.

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2 years ago

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