Help please, giving brainlist to anyone who answers

You always need some time to get up after the alarm has rung. You get up from 10 to 20 minutes later, with any time in that inte

Mama L [17]

Answer:

a) P(x<5)=0.

b) E(X)=15.

c) P(8<x<13)=0.3.

d) P=0.216.

e) P=1.

Step-by-step explanation:

We have the function:

$f(x)=\left \{ {{\frac{1}{10},\, \, \, 10\leq x\leq 20 } \atop {0, \, \, \, \, \, \, otherwise }} \right.$

a) We calculate the probability that you need less than 5 minutes to get up:

$P(x$

Therefore, the probability is P(x<5)=0.

b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.

E(X)=15.

c) We calculate the probability that you will need between 8 and 13 minutes:

$P(8\leq x\leq 13)=P(10\leqx\leq 13)\\\\P(8\leq x\leq 13)=\int_{10}^{13} f(x)\, dx\\\\P(8\leq x\leq 13)=\int_{10}^{13} \frac{1}{10} \, dx\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot [x]_{10}^{13}\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot (13-10)\\\\P(8\leq x\leq 13)=\frac{3}{10}\\\\P(8\leq x\leq 13)=0.3$

Therefore, the probability is P(8<x<13)=0.3.

d) We calculate the probability that you will be late to each of the 9:30am classes next week:

$P(x>14)=\int_{14}^{20} f(x)\, dx\\\\P(x>14)=\int_{14}^{20} \frac{1}{10} \, dx\\\\P(x>14)=\frac{1}{10} [x]_{14}^{20}\\\\P(x>14)=\frac{6}{10}\\\\P(x>14)=0.6$

You have 9:30am classes three times a week. So, we get:

$P=0.6^3=0.216$

Therefore, the probability is P=0.216.

e) We calculate the probability that you are late to at least one 9am class next week:

$P(x>9.5)=\int_{10}^{20} f(x)\, dx\\\\P(x>9.5)=\int_{10}^{20} \frac{1}{10} \, dx\\\\P(x>9.5)=\frac{1}{10} [x]_{10}^{20}\\\\P(x>9.5)=1$

Therefore, the probability is P=1.

3 0

2 years ago

Honda Atlas issued 100,000 shares of stock. In 1990, each share of stock was worth Rs. 152.50. In 1993, each share of the stock

noname [10]

Answer:

Rs.13,130 ,000

Step-by-step explanation:

Lets solve first for year 1990

Value of stock in 1990 = Rs. 152.50

No. of stocks issued in 1990 = 100,000

Total value of these stocks in 1990= Value of stock in 1990* no of stocks issued in 1990 = 152.50*100,000 = Rs. 15,250,000

Let solve first for year 1993

Value of stock in 1993 = Rs. 21.20

No. of stocks 1993 = 100,000

Total value of these stocks in 1993 = Value of stock in 1993* no of stocks issued in 1993 = 21.20*100,000 = Rs. 2,120,000

Decrease in value of stock in 1993 in comparison to 1990 = Total value of the stocks in 1990 -Total value of the stocks in 1993

= Rs. 15,250,000 - Rs. 2,120,000

= Rs.13,130 ,000

Thus, the 100,000 shares worth Rs.13,130 ,000 lesser in 1993 than in 1990.

6 0

2 years ago

Solve this please quickly

Volgvan

Answer:

1. m∠B=110°

2. 560 cm3

3. Numerical data

4. 2000 cm3

5. 50%

Step-by-step explanation:

1. The explanation of part 1 is given in the attachment.

2. Given dimensions : 10 cm, 8 cm, and 7 cm.

Let Length of cuboid =10 cm

breadth/width of cuboid =8 cm

height of cuboid = 7cm

Volume of cuboid = length *width* height

=( 10 *8*7) cm3

=(560) cm3

3. Age, Birth date and weight are the types/examples of "Numerical Data" because these all are describe in terms of numeric values.

4. 1 liter = 1000 cm3 or 1 cm3 = 0.001 liter

1.5 liters =(1.5*1000) cm3 = (15*100) =1500 cm3

1 dm3 =1000 cm3

0.35 dm3 = (0.35*1000) cm3 = (35*10) cm3 =350 cm3

Given expression: 1.5 litre + 0.35 dm3 + 150 cm3 = cm3

1500 cm3 + 350 cm3 +150 cm3 = 2000 cm3

5. If A=(1/2)B, then B : A = 50 %

Ratio: B : A

B : (1/2) B

1: (1/2)

50 % (The value of A is half of the value of B)

Download docx

6 0

2 years ago

Jeremiah received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14

hram777 [196]

Jeremiah got $65 on birthday and spent some money on 3 video games and was left with $14.

He purchased 3 video games.

Let the cost one one video game be v.

The cost of each video game is same

So the cost of 3 video games is 3v.

Also he is left with $14 after paying for three games.

Hence

3v + 14 = 65

Subtracting 14 from both sides

3v + 14 -14 = 65-14

3v = 51

Dividing by 3 on both sides

v = 51/3

v = 17

Hence the cost of each video game is $17

5 0

2 years ago

Read 2 more answers

What two decimals is 79 beetween

ivolga24 [154]

Answer:

79

Step-by-step explanation:

so you dont move anything,

7 0

2 years ago

Read 2 more answers