Answer:
P(x < 3) = 0.1971
Explanation:
To calculate the probability that x babies weigh more than 20 pounds, we will use the binomial distribution, so it can be calculated as:
So, replacing n = 16 and p = 0.25, we get that the probability is equal to
P(x) = 16Cx (0.25)^x (1 - 0.25)^(16 - x)
Now, the probability that fewer than three weights more than 20 pounds are equal to
Then
P(x < 3) = 0.01 + 0.0535 + 0.1336
P(x < 3) = 0.1971
Therefore, the answer is
P(x < 3) = 0.1971
X= r-h/y
h= xy-r/-1
r= xy+h
<u><em>Answer:</em></u>
Density of jam = 11.35 kg/m³
<u><em>Explanation:</em></u>
<u>1- Getting the mass of the jam:</u>
<u>We are given that:</u>
Jam is put in 6 jars
the weight of one empty jar = 200 grams
<u>Therefore: </u>
weight of 6 empty jars = 6 * 200 = 1200 grams
<u>We are also given that:</u>
Weight of all jars filled with jam is 5400 grams
<u>Therefore:</u>
mass of jam = total mass of jam and jars - mass of 6 empty jars
mass of jam = 5400 - 1200
mass of jam = 4200 grams
<u>2- Getting the volume of the jam:</u>
We are given that the 6 jars had a total volume of 0.37 m³ and that they were completely filled with jam
<u>This means that:</u>
Volume of jam = 0.37 m³
<u>3- Getting the density of jam:</u>
<u>Density can be calculated using the following rule:</u>
<u>We have:</u>
Mass of jam = 4200 grams = 4.2 Kg
Volume of jam = 0.37 m³
<u>Therefore:</u>
Hope this helps :)
Answer:
The answer to your question is:
Step-by-step explanation:
Data
B = 70°
c = 14
Process
sin Ф = b / c
b = c sinФ
b = 14 sin 70
b = 14 x 0.94
b = 13.16
cos Ф = a/c
a = c x cos Ф
a = 14 cos 70
a = 14 x 0.34
a = 4.76
C = 90° it is a right angle
A = 180 - 90 - 70
A = 180 - 160
A = 20°