All categories

3 years ago

A point is chosen at random on AK. What is the probability that the point will be on overline CD ? Don't forget to reduce.

Mathematics

1 answer:

Elena L [17]3 years ago

8 0

Answer:

$P(CD) = \frac{1}{10}$

Step-by-step explanation:

Given

$AK = 10$

See attachment for line AK

Required

Probability of choosing CD

From the attachment:

$CD=D-C$

$CD=3 - 2$

$CD = 1$

So:

$P(CD) = \frac{CD}{AK}$

$P(CD) = \frac{1}{10}$

You might be interested in

The distance between river city and pine bluff is 6 inches what is the scale of the map

son4ous [18]

The distance between pine bluff and river city is approx. 535.1 miles ( i had to search this up because without that information you cant find out your scale). 535.1 miles is 2 825 328 feet (or 535.1 X 5 280, because there are 5280 feet in a mile), and 2 825 328 feet is 33 903 936 inches (or 2 825 328 X 12, because there are 12 inches in a foot). Now if you take 33 903 936, and divide it by 6, which was how many inches were shown on your map, you get 5 650 656. and so, the scale on your map is 1:5 650 656, or for every 1 inch on your map, there are 5 650 656 inches in real life.

8 0

3 years ago

2/3x - 1/2y = 3

Makovka662 [10]

The correct answer for this question would be the second option. 4x - 3y = 18 and x + 2y = 10. So in order to know why this is the answer, let us check it. Since the given numbers have fractions, let us eliminate the fractions.
2/3x - 1/2 y = 3 <<multiply both sides by 6
and we get 4x - 3y = 18 (So this one is correct)
Next,
1/2x + y = 5 << multiply both sides by 2 and we get
x + 2y = 10 (This one is correct too)
Hope this answer helps.

3 0

3 years ago

Read 2 more answers

2x-7/3=1 please answer my question iwill mark brainliest

Neporo4naja [7]

$2x - \frac{7}{3} = 1 \\ \\ 2x = 1 + \frac{7}{3} \\ \\ 2x = \frac{3 + 7}{3} \\ \\ 2x = \frac{10}{3} \\ \\ x = \frac{5}{3} \\ \\ x = 1 + \frac{2}{3} \\ \\ x = 1 + 0.66666 \\ \\ x = 1.66666$

3 0

4 years ago

Read 2 more answers

HELP ASAP

almond37 [142]

Answer:

Step-by-step explanation:

let the number of dimes=x

and number of quarters=y

x=2y

0.10 x+0.25 y=2.25

or 10x+25y=225

divide by 5

2x+5y=45

2 ×2y+5y=45

4y+5y=45

9y=45

y=45/9=5

x=2y=2×5=10

Hence dimes=10

quarters=5

6 0

4 years ago

Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboa

KengaRu [80]

Answer:

a. 0.5 or 50%

b. 0.496 or 49.6%

c. 0.8185 or 81.85%

d. Yes, it would be just 0.0013 or 0.13% of probability to find a typist whose speed exceeds 105 wpm

e. 0.0252 or 2.52%

f. The qualifying speed would be 47.4 wpm.

Step-by-step explanation:

a. Let's find the z-score this way:

μ = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

p (z=0) = 0.5 or 50%

b. z-score = (x - μ)/σ

z-score = (59.9 - 60)/15

z-score = -0.01

Now, let's calculate the p value for z-score = -.0.01, using the z-table:

p (z = -0.01) = 0.496 or 49.6%

If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

z-score = (x - μ)/σ

z-score = (90 - 60)/15

z-score = 2

Now, let's calculate the p value for z-score = 2, using the z-table:

p (z = 2) = 0.9772

In consequence,

p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.

e. z-score = (x - μ)/σ

z-score = (75 - 60)/15

z-score = 1

Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

In consequence,

p (z > 1) = 1 - 0.8413 = 0.1587

and if the two typists are independently selected, then

p = 0.1587 * 0.1587

p = 0.0252 or 2.52%

f. p = 0.2, using the z-table, the z-score is -0.84, then:

z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

The qualifying speed would be 47.4 wpm.

8 0

3 years ago