Answer: Perpendicular
Step-by-step explanation:
when you have parallel lines, you have the same slope. With perpendicular lines, its opposite slopes. 1/3 flipped is 3/1 or 3. Then you change the sign. Therefore, the perpendicular slope of 1/3 is -3.
Answer: The answer is A (32)
Step-by-step explanation:
you multiply 8 times 4 and you get 32.
Answer:
6,1
Step-by-step explanation:
y = 1.50x + 3.00
(substitution)
Answer:
x=5 and y=10.5
Step-by-step explanation:
Answer:
a) Z = 0.15
b) Z = -0.76
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
(a) For a normal distribution, find the z-score that cuts off the bottom 55.76% of all the z-scores.
Bottom 55.76% of the scores are the z-scores with a pvalue of 0.5576 and less. So the z-score that cuts off these scores is Z when X has a pvalue of 0.5576, which is Z = 0.145, rounded to two decimal places, Z = 0.15.
(b) For a normal distribution, find the z-score that cuts off the top 77.52% of area.
The top 77.52% of the scores are the z-scores with a pvalue of 1-0.7752 = 0.2248 and higher. So Z = -0.764 and higher. So the value that cuts off the top 77.52% is Z = -0.76.
x1 = 172 x2 = 654
Answer:
The calculated value Z = 3.775 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
The Two Population proportion are not equal
Step-by-step explanation:
Given first sample size n₁ = 677
First sample proportion
Given second sample size n₂ = 3377
second sample proportion
Null Hypothesis : H₀ : p₁ = p₂.
Alternative Hypothesis : H₁ : p₁ ≠ p₂.
Test statistic
where
P = 0.2036
Q = 1 - P = 1 - 0.2036 = 0.7964
Z = 3.775
Critical value ∝=0.05
Z- value = 1.96
The calculated value Z = 3.775 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
The Two Population proportion are not equal
Answer: 5/7
Step-by-step explanation: 5x3 = 15 and 3x7=21 , if u simplify it equals to 0.7143 and that is 5/7