Answer:
the order of operations is .called BODMAS rule
B.brackets
O.of
D.division
M.multiplication
A.addition
S.subtraction
Step-by-step explanation:
= (-112)-(20)
= -132
Answer: x = 9/4, y = 7/6
║<span>2x + 3y = 8
</span>║<span>4x - 6y = 2
</span>║4x + 6y = 16
║4x - 6y = 2
Add both equations together:
8x = 18
x = 9/4
Sub x = 9/4 into 2x + 3y = 8
2(9/4) + 3y = 8
9/2 + 3y = 8
3y = 7/2
y = 7/6
Answer:
He spent 52.5 minutes reading.
Step-by-step explanation:
The equation from the word problem is 2(x+5)+25=140. Distribute 2 to the parentheses and get 2x+10+25=140. Combine like terms to get 2x+35=140. Subtract 35 from both sides and get 2x=105. Divide both sides by 2 and your final answer is x=52.5
Answer:
C. with 3000 successes of 5000 cases sample
Step-by-step explanation:
Given that we need to test if the proportion of success is greater than 0.5.
From the given options, we can see that they all have the same proportion which equals to;
Proportion p = 30/50 = 600/1000 = 0.6
p = 0.6
But we can notice that the number of samples in each case is different.
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size
po = Null hypothesized value
p^ = Observed proportion
Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.
Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis
The figure below shows a parallelogram PQRS:
A parallelogram PQRS is shown with the diagonal SQ.
The flowchart shown below shows the sequence of steps to prove the theorem: Opposite angles of a parallelogram are equal:
Which is the missing statement?
Answer - Triangle PQS is congruent to triangle RSQ
