Answer:
Yes, the random conditions are met
Step-by-step explanation:
From the question, np^ = 32 and n(1 − p^) = 18.
Thus, we can say that:Yes, the random condition for finding confidence intervals is met because the values of np^ and n(1 − p^) are greater than 10.
Also, Yes, the random condition for finding confidence intervals is met because the sample size is greater than 30.
Confidence interval approach is valid if;
1) sample is a simple random sample
2) sample size is sufficiently large, which means that it includes at least 10 successes and 10 failures. In general a sample size of 30 is considered sufficient.
These two conditions are met by the sample described in the question.
So, Yes, the random conditions are met.
Answer:
(-9,4)
Step-by-step explanation:
so we are going to take the original coordinates (-5,1) and to the operation that the question wants us to do (x-4,y+3) by subsitituing the variables in so we get (-5-4,1+3)
Answer: (-9,4)
Answer:
The answer is B
Step-by-step explanation:
Each smaller rectangle is being multiplied by <em>a </em>so 2a + 3a + 4a would give you the total area of the entire large rectangle.
Answer:
First one: x = all real numbers
Second one: x = 0
Step-by-step explanation:
for the first one
given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations
step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )
2 * 4x = 8x
5 * 2 = 10
now we have 8x + 10 = 8x + 10
step 2 subtract 8x from each side
8x - 8x = 0
8x - 8x = 0
now we have 10 = 10
subtract 10 from each side
10 - 10 = 0
10 - 10 = 0
we're left with 0 = 0 meaning that all real numbers are solutions
For the second one
given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations
step 1 distribute the 2 to what is in the parenthesis (x - 4)
2 *x = 2x
2 * -4 = -8
now we have 3x - 8 = 2x - 8
step 2 add 8 to each side
-8 + 8 = 0
-8 + 8 = 0
now we have 2x = 3x
step 3 subtract 2x from each side
3x - 2x = x
2x - 2x = 0
we're left with x = 0
Answer: Decreased by 12 students
Step-by-step explanation:
40-28=12
