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3 years ago

How do I solve a b and c

Mathematics

1 answer:

DedPeter [7]3 years ago

3 0

A fraction actually represents a division problem that can return a decimal real number with which you can solve some problems. ie:4/3 = 4÷3 = 1.333

a. 6×1.25=x 6×1.333=x 6×1.5=x 6×1.75=x 6×2=x make sense?
b. 6×.666=x
c. by definition a cube has equal length sides in all 3 dimensions.

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Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a seco

kari74 [83]

Answer:

C. $\frac{1}{18}$

Step-by-step explanation:

Given: Six cards numbered from $1$ to $6$ are placed in an empty bowl. First one card is drawn and then put back into the bowl then a second card is drawn.

To Find: If the cards are drawn at random and if the sum of the numbers on the cards is $8$ , what is the probability that one of the two cards drawn is numbered $5$ .

Solution:

Sample space for sum of cards when two cards are drawn at random is $\{(1,1),(1,2),(1,3)......(6,6)\}$

total number of possible cases $=36$

Sample space when sum of cards is $8$ is $\{(3,5),(5,3),(6,2),(2,6),(4,4)\}$

Total number of possible cases $=5$

Sample space when one of the cards is $5$ is $\{(5,3),(3,5)\}$

Total number of possible cases $=2$

Let A be the event that sum of cards is $8$

$p(\text{A})$ $=\frac{\text{total cases when sum of cards is 8}}{\text{all possible cases}}$

$p(\text{A})=\frac{5}{36}$

Let B be the event when one of the two cards is $5$

probability than one of two cards is $5$ when sum of cards is $8$

$p(\frac{\text{B}}{\text{A}})=\frac{\text{total case when one of the number is 5}}{\text{total case when sum is 8}}$

$p(\frac{\text{B}}{\text{A}})=\frac{2}{5}$

Now,

probability that sum of cards $8$ is and one of cards is $5$

$p(\text{A and B}=p(\text{A})\times p(\frac{\text{B}}{\text{A}})$

$p(\text{A and B})=\frac{5}{36}\times\frac{2}{5}$

$p(\text{A and B})=\frac{1}{18}$

if sum of cards is $8$ then probability that one of the cards is $8$ is $\frac{1}{18}$ , option C is correct.

3 0

3 years ago

When lines are parallel...

Otrada [13]

Answer:

1) Congruent

2) Supplementary

3) Congruent

4) Congruent

Step-by-step explanation:

1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.

3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.

3 0

3 years ago

The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges $1 for the

Nikolay [14]

Answer:

$133.77

I am pretty sure that this is the answer.

Step-by-step explanation:

1 + (1.25)^29 = 646.23

200 + (20 x 29) = 780

780 - 646.23 = 133.77

Tell me if I am wrong.

If right, please give me brainliest.

6 0

3 years ago

What is 2 ¼ as an improper fraction?

kondor19780726 [428]

9/4 is the answer :)

6 0

2 years ago

Read 2 more answers

Jim ran 12 1/2 miles in 2 1/2 hours. How many hours for 1 mile?

Klio2033 [76]

Answer:

1/5 hours i.e 0.2 hours (which is 12 mins)

Step-by-step explanation:

First note that 12 1/2 = 12.5, and 2 1/2 = 2.5.

To work out how many hours it takes hime to drive one mile, we divide the number of hours (2.5) by the number of miles (12.5),

i.e 2.5 ÷ 12.5

which equals 1/5 = 0.2 hours (= 12 mins).

4 0

3 years ago