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3 years ago

Simplify these expressions. a. 13xyz + 9 + 2xyz + 3 b. 6ab + (–2ab) + 4 + 6

Mathematics

1 answer:

AlexFokin [52]3 years ago

3 0

Answer:

a. 13xyz + 9 + 2xyz + 3

13xyz+2xyz+ 9+3 ( combine like terms)

15xyz+12

b. 6ab + (–2ab) + 4 + 6

6ab-2ab+4+6

4ab+10

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A pair of dice is rolled, and the sum of the numbers is either 7 or 11. What is the probability of this event?

AfilCa [17]

Answer: $\dfrac{2}{9}$

Step-by-step explanation:

Let A be the event that the sum is 7 and and B be the event that the sum is 11 .

When two pair of dices rolled the total number of outcomes = $n(S)=6\times6=36$

The sample space of event A ={(1,6), (6,1), (5,2), (2,5), (4,3), (3,4)}

Thus n(A)= 6

The sample space of event B = {(5,6), (6,5)}

n(B)=2

Since , both the events are independent , then the required probability is given by :-

$P(A\cup B)=P(A)+P(B)\\\\=\dfrac{n(A)}{n(S)}+\dfrac{n(B)}{n(S)}=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}$

Hence, the required probability = $\dfrac{2}{9}$

7 0

3 years ago

Read 2 more answers

Test scores: Scores on a statistics exam had a mean of 75 with a standard deviation of 5. Scores on a calculus exam had a mean o

beks73 [17]

Answer:

CV for statistics exam = 15%

CV for calculus exam = 19%

Since the CV for calculus exam is higher, it has a greater spread relative to the mean than the statistics exam.

Step-by-step explanation:

To find coefficient variation we use the formula:

CV = (SD/mean) * 100

CV for the statistics exam:

where; SD= 5

mean= 75

CV = ( 5/75) *100

= 0.15 or 15%

CV for calculus exam

SD = 11

Mean= 58

CV= (11 /58) * 100

= 0.19 or 19%

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3 years ago

To prove these triangles congruent using HL, we must show that

Arada [10]

I have no idea I am sorry

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3 years ago

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a right circular cylinder with a diameter of 14 inches and a height of 10 inches has a volume in cubic inches of which of the fo

Kaylis [27]

Answer:

Answer is 1540 cubic inches 

You may use pie equals 3.14

Step-by-step explanation:

$given \: shape \: is \: a \: cylinder \\ diameter \: = 14 \: inches \\ radius \: = \frac{14}{2} = 7 \: inches \: \: ( r)\\ height = 10 \: inches \: \: \: \: (h) \\ volume \: of \: cylinder = \pi {r}^{2} h \\ = \pi {(7)}^{2} \times 10 \\ = \frac{22}{7} \times {(7)}^{2} \times 10 \\ = 22 \times 7 \times 10 \\ = 1540 \: cubic \: inches$