Answer:
The answers to your questions are given below
Step-by-step explanation:
A. 3 × 9 = 27
B. 2 × 3 × 9 = 54
Next, we shall determine which option will give the same result obtained above.
9 × 3 = 27
9 × 3 × 2 = 54
3 × (4 + 5) = 3 × 9 = 27
(2 × 3) × 9 = 6 × 9 = 54
Therefore,
3 × 9 = 27
9 × 3 = 27
3 × (4 + 5) = 27
2 × 3 × 9 = 54
9 × 3 × 2 = 54
(2 × 3) × 9 = 54
SUMMARY
3 × 9 >>>>>>>>> 2 × 3 × 9
9 × 3 >>>>>>>>> 9 × 3 × 2
3 × (4 + 5) >>>>> (2 × 3) × 9
Hello,
Here is your answer:
The proper answers to your question is "4/10 and 3/9".
Here is how:
Both fractions can be reduce to the fractions given:
4/2=2
10/2=5
&
3/3=1
9/3=3
Your answers are 2/5 and 1/3!
If you need anymore help feel free to ask me!
Hope this helps!
Answer:
x=1
Step-by-step explanation:
5x + 2 = 3x + 4(2x - 1)
Distribute the 4
5x + 2 = 3x + 8x - 4
Combine like terms
5x + 2 = 11x - 4
Subtract 5x from each side
5x -5x + 2 = 11x - 5x - 4
2 = 6x-4
Add 4 to each side
2+4 = 6x-4+4
6 = 6x
Divide each side by 6
6/6 =6x/6
1= x
Answer:
b. Student-t with 48 degrees of freedom
Step-by-step explanation:
For this case we need to use a Two Sample t Test: equal variances.
Assumptions
When running a two-sample equal-variance t-test, the basic assumptions are "that the distributions of the two populations are normal, and that the variances of the two distributions are the same".
Let
and
be the sample means of two sets of data of size
and
respectively. We assume that the distribution's of x and y are:


Both are normally distributed but without the variance equal for both populations.
The system of hypothesis can be:
Null hypothesis: 
Alternative hypothesis: 
We can define the following random variable:

The random variable t is distributed
, with the degrees of freedom 
And the pooled variance can be founded with the following formula:

So on this case the best answer would be :
b. Student-t with 48 degrees of freedom
Answer: The width of the field = 160 feet
Step-by-step explanation:
We are given that , A field is
yards wide.
That means , The width of the field =
yards
Since , the fraction is in mixed for , so first we convert this into improper fraction.

Therefore , the width of the field =
yards
Since 1 yard = 3 feet.
⇒ the width of the field =
feet
Therefore , the width of the field = 160 feet