Answer:
bruh whats the answer?
Step-by-step explanation:
To solve this problem, we can use the z statistic to find
for the probability. The formula for z score is:
z = (x – u) / s
Where,
u = the sample mean = 68
s = standard deviation of the samples = 12
x = sample value = 70
In this case, what is asked is the probability that the
sample mean is larger than 70, therefore this corresponds to the right of z on
the graph of normal distribution.
z = (70 – 68) / 12
z = 2 / 12
z = 0.17
Therefore finding for P at z ≥ 0.17 using the standard
distribution tables:
P (z = 0.17) = 0.5675
But this is not the answer yet since this is the P to the
left of z. Therefore the correct one is:
P (z ≥ 0.17) = 1 - 0.5675
P (z ≥ 0.17) = 0.4325 = 43.25%
<span>The probability that the sample mean is larger than 70 is
43.25%</span>
Answer: The correct answer is option B: 19%
Step-by-step explanation: The bar graph according to the question has the following set of data;
Cereal ----------34
Eggs and Bacon ----------21
Pastries ----------39
Bagels ----------48
Waffles ----------38
The total from this set of data is 180 (that is the summation of all the observed data). The portion taken up by cereals can be derived as follows;
Cereal = (34/180) x 360
Cereal = 68 degrees
Note that we have used degrees as the unit since the data would be transferred to a pie chart. Hence on the pie chart it occupies 68 degrees of the entire 360 degrees.
In order to find out what percentage this represents we can now express 68 degrees as a percentage as follows;
Cereal = (68/360) x 100
Cereal = 18.8888888
Cereal ≈ 19
Therefore cereal occupies 19 percent of the pie chart.
The nut lands first on gorund
<em><u>Solution:</u></em>
The squirrel climbs down the tree in 2 seconds
Given that,
A squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second
<em><u>The nuts height, h, at time t seconds can be represented by the equation:</u></em>
time cannot be negative, so ignore t = -1
Thus the nut takes 1.5 seconds to reach ground
From given,
The squirrel climbs down the tree in 2 seconds
Therefore, the nut lands first on gorund
Answer:
a). r = 
b). At least 5 terms should be added.
Step-by-step explanation:
Formula representing sum of infinite geometric sequence is,
Where a = first term of the sequence
r = common ratio
a). If the sum is seven times the value of its first term.
7(1 - r) = 1
7 - 7r = 1
7r = 7 - 1
7r = 6
r =
b). Since sum of n terms of the geometric sequence is given by,
If the sum of n terms of this sequence is more than half the value of the infinite sum.
![\frac{a[1-(\frac{6}{7})^{n}]}{1-\frac{6}{7}}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5B1-%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7Bn%7D%5D%7D%7B1-%5Cfrac%7B6%7D%7B7%7D%7D)
> 
n[log(0.85714)] < log(0.5)
-n(0.06695) < -0.30102
n > 
n > 4.496
n > 4.5
Therefore, at least 5 terms of the sequence should be added.
