All categories

3 years ago

Rationalize the denominators

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

Step-by-step explanation:

mult by root three and root 2

2 root 3 turns into 6

5 root 2 turns into 10

the bottom is now 3-2 so it is one

You might be interested in

If u answer this, ill give you 15

Gennadij [26K]

There are 10 portions to the circle, and 7 of the 10 are shaded. 7/10 is 70%

6 0

2 years ago

Read 2 more answers

Rose works eight hours a day for five days a week. how many hours will she work in six weeks ?

Kryger [21]

Start by multiplying 8 and 5 to get the hours worked each week.
Next multiply that by 6 to get how many hours she'll work in 6 weeks.

7 0

3 years ago

Read 2 more answers

The probability that a professor arrives on time is 0.8 and the probability that a student arrives on time is 0.6. Assuming thes

saul85 [17]

Answer:

a)0.08 , b)0.4 , C) i)0.84 , ii)0.56

Step-by-step explanation:

Given data

P(A) = professor arrives on time

P(A) = 0.8

P(B) = Student aarive on time

P(B) = 0.6

According to the question A & B are Independent

P(A∩B) = P(A) . P(B)

Therefore

${A}'$ & ${B}'$ is also independent

${A}'$ = 1-0.8 = 0.2

${B}'$ = 1-0.6 = 0.4

part a)

Probability of both student and the professor are late

P(A'∩B') = P(A') . P(B') (only for independent cases)

= 0.2 x 0.4

= 0.08

Part b)

The probability that the student is late given that the professor is on time

$P(\frac{B'}{A})$ = $\frac{P(B'\cap A)}{P(A)}$ = $\frac{0.4\times 0.8}{0.8}$ = 0.4

Part c)

Assume the events are not independent

Given Data

P $(\frac{{A}'}{{B}'})$ = 0.4

= $\frac{P({A}'\cap {B}')}{P({B}')}$ = 0.4

$P$ $({A}'\cap {B}')$ = 0.4 x P $({B}')$

= 0.4 x 0.4 = 0.16

$P({A}'\cap {B}')$ = 0.16

The probability that at least one of them is on time

$P(A\cup B)$ = 1- $P({A}'\cap {B}')$

= 1 - 0.16 = 0.84

ii)The probability that they are both on time

P $(A\cap B)$ = 1 - $P({A}'\cup {B}')$ = 1 - $[P({A}')+P({B}') - P({A}'\cap {B}')]$

= 1 - [0.2+0.4-0.16] = 1-0.44 = 0.56

6 0

3 years ago

In ΔEFG , what is the approximate length of EF if the measure of angle G is 50° and FG is 10 cm?

swat32

Hey again, you can use trigonometric ratios for this one. You are trying to find the side length opposite of angle G, when you have the adjacent side length value known. You can use TOA, or tan((opposite/adjacent)) . Tan(50) = x/10

X= 11.92 cm

6 0

3 years ago

What is 40 ÷299<br><br><br><br> I will mark u as brainlest

laila [671]

Answer:

0.1338 to the nearest ten thousandth.

Step-by-step explanation:

40 / 299

= 0.1337792642

4 0

3 years ago

Read 2 more answers