Yes the graph will show a proportional relationship
<h3>
HCF of 4 and 9 is 1</h3>
- HCF of 4 and 9 is the largest possible number that divides 4 and 9 exactly without any remainder. The factors of 4 and 9 are 1, 2, 4 and 1, 3, 9 respectively.
So , the HCF of 4 and 9 is 1
Answer:
A = 81
Step-by-step explanation:
When there is a number above the other. You will need to multiply it.
There is a 4 so its 4 times.
-3 x -3 = 9
9 x -3 = -27
-27 x -3 = 81
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When you multiply a negative number by a negative number it will be a positive.
If you multiply a positive number by a negative it will be negative.
<h3>
Answer: 1/2</h3>
Explanation:
Here's the event space
E = {1,2,3}
this represents all of the desired events we want, which is rolling less than a 4 on a standard number cube (aka a die). There are A = 3 items in this set.
The sample space is the set of all possible outcomes, namely,
S = {1,2,3,4,5,6}
which is all of the values on the die. There are B = 6 items in this set.
Divide the values of A and B to get the theoretical probability:
P(rolling a number less than 4) = A/B = 3/6 = 1/2
Answer:
Since we can't assume that the distribution of X is the normal then we need to apply the central limit theorem in order to approximate the
with a normal distribution. And we need to check if n>30 since we need a sample size large as possible to assume this.

Based on this rule we can conclude:
a. n = 14 b. n = 19 c. n = 45 d. n = 55 e. n = 110 f. n = 440
Only for c. n = 45 d. n = 55 e. n = 110 f. n = 440 we can ensure that we can apply the normal approximation for the sample mean
for n=14 or n =19 since the sample size is <30 we don't have enough evidence to conclude that the sample mean is normally distributed
Step-by-step explanation:
For this case we know that for a random variable X we have the following parameters given:

Since we can't assume that the distribution of X is the normal then we need to apply the central limit theorem in order to approximate the
with a normal distribution. And we need to check if n>30 since we need a sample size large as possible to assume this.

Based on this rule we can conclude:
a. n = 14 b. n = 19 c. n = 45 d. n = 55 e. n = 110 f. n = 440
Only for c. n = 45 d. n = 55 e. n = 110 f. n = 440 we can ensure that we can apply the normal approximation for the sample mean
for n=14 or n =19 since the sample size is <30 we don't have enough evidence to conclude that the sample mean is normally distributed