Write the decimal number as a fraction
(over 1)
0.87 = 0.87 / 1
Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's
Numerator (N)
N = 0.87 × 10 × 10 = 87
Denominator (D)
D = 1 × 10 × 10 = 100
N / D = 87 / 100
Simplifying our fraction
= 87/100
<span>= 87/100</span>
Answer:
a) t = 4000/v
b) t = 4000/(v + 20)
c) see attached workings
Step-by-step explanation:
a) A man jogs 4 km everyday at an average speed of v m/min
As the speed is measured in <u>meters per minute</u>, we need to convert the distance (4 km) into meters:
1 km = 1000 m
⇒ 4 km = 4 x 1000 = 4000 m
distance = speed x time
⇒ time = distance / speed
⇒ t = 4000/v (where t = time in minutes)
b) If his average speed increased by 20 m/min, then his speed would now be (v + 20) m/min
⇒ t = 4000/(v + 20) (where t = time in minutes)
c) Given the man would take 3 min less if his average speed increased by 20 m/min, we can rewrite the second equation as:
t - 3 = 4000/(v + 20)
Now simply substitute the first equation t = 4000/v into the second:
(I have typed this used MS Word and attached, as the equation editor here in Brainly is not working at the moment).
According to the given, 1 in every 10 women has been a victim, therefore the probability of a victim of domestic abuse at some pint is

We need to use Binomial distribution to take a randomly sampled of 25 women and asked each whether she has been a victim.

Where x is the event that shows a victim of domestic abuse at some point.
We need to find the probability of these victim at least 2 has been victim of abuse, so
![P(x>=2) = 1- [P(x=0)+P(x=1)]](https://tex.z-dn.net/?f=P%28x%3E%3D2%29%20%3D%201-%20%5BP%28x%3D0%29%2BP%28x%3D1%29%5D)
![P(x>=2) = 1 - [^{25}C_0(0.10)^0(1-0.10)^{25-0}+^{25}C_1(0.10)^1(1-0.10)^{25-1}]](https://tex.z-dn.net/?f=P%28x%3E%3D2%29%20%3D%201%20-%20%5B%5E%7B25%7DC_0%280.10%29%5E0%281-0.10%29%5E%7B25-0%7D%2B%5E%7B25%7DC_1%280.10%29%5E1%281-0.10%29%5E%7B25-1%7D%5D)
![P(x>=2) = 1 - [0.07198+0.199]](https://tex.z-dn.net/?f=P%28x%3E%3D2%29%20%3D%201%20-%20%5B0.07198%2B0.199%5D)

So the probability is 0.729
Answer:
The answer is B
Step-by-step explanation:
Divide 48 by 3 which gives you the total amount for one bracelet then you have to multiply the amount by 9 and 13 and then find your answer in the letters.
Answer:
Standard CDs have a diameter of 120 millimetres (4.7 in) and can hold up to about 80 minutes of uncompressed audio or about 700 MiB of data.