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kherson [118]
3 years ago
8

Two telephone calls come into a switchboard at random times in a fixed one-hour period. Assume that the calls are made independe

ntly of one another. (a) What is the probability that the calls are made in the first quarter hour
Mathematics
1 answer:
svp [43]3 years ago
3 0

Answer:

0.25

Step-by-step explanation:

From the given information:

Since the times are uniform distributed over the one hour period (0,1):

Then;

f_1(y_1) = 1

f_2(y_2) = 1

So, Y_1 and Y_2 are independent; then:

f(y_1|y_2) = f_1(y_1)f_2(y_2)  \\ \\ = 1(1) = 1

P(Y_1\le 0.5 Y_2 \le 0.5) = \int ^{0.5}_{0} \int ^{0.5}_{0} f(y_1,y_2) dy_{2}dy_{1}

\implies  \int ^{0.5}_{0} \int ^{0.5}_{0} (1)  dy_{2}dy_{1}

= \dfrac{1}{4}

= 0.25

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Find the length of the hypotenuse of a right triangle with legs of 4 and 3. A).5 B).6 C).7 D).8
iogann1982 [59]

4×4=16

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16+9=25

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4 0
3 years ago
Which expression is equivalent to  4 7/8 ÷ 4 1/4​
cupoosta [38]

Answer:

Improper fraction: 39/34

Proper fraction: 1 5/34

Decimal: 1.147 (rounded to the nearest thousandths).

Step-by-step explanation:

Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:

4 7/8 ÷ 4 1/4

First, change all fractions into improper fractions:

4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8

4 1/4 = (4 * 4)/4  + 1/4 = 16/4 + 1/4 = 17/4

Next, find common denominators. Note that what you do to the denominator, you must do the numerator:

(17/4) * (2/2) = (34/8)

39/8 ÷ 17/4

Solve. First, change the division sign into multiplication, and then flip the second fraction:

39/8 ÷ 17/4 = 39/8 x 4/17

Multiply straight across:

39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.

~

7 0
3 years ago
Which difference is closest to 12?<br> A. 89−1112 <br> B. 67−19 <br> C. 1516−38 <br> D. 35−611
SSSSS [86.1K]

Answer:

b

The rest are at least 500 numbers away from 12

Step-by-step explanation:

3 0
3 years ago
Hey is this answer correct? lmk as soon as possible:)
Alborosie

Answer: yea

Step-by-step explanation: looks like there congruent to me

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2 years ago
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference?
Lerok [7]

Answer:

no idea

Step-by-step explanation:

but God bless you my boi

4 0
2 years ago
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