Answer:
60+96
156
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
I can't draw it for you so here are the points. Draw your triangle with them.
From the original triangle, to rotate 180 degrees around the origin, just imagine your are flipping your computer screen upside down which is 180 degrees. To get the coordinates for the points, just make each x and y value the opposite of what the origin is.
Original points ( 2, 1 ) ( 5, -2 ) ( 3, -4 )
Rotated points ( -2, -1 ) ( -5, 2 ) ( -3, 4 )
A) The original claim in symbolic form is; p > 0.50
B) The Null Hypothesis is;
H₀: p = 0.50
Alternative Hypothesis is;
H_a: p > 0.50
<h3>How to identify the hypothesis claim?</h3>
We are given;
Sample size; n = 576
Sample Proportion; p^ = 59% = 0.59
A) The percentage of 59% represents the proportion of a sample and thus we are making a claim about the population proportion p in the hypotheses.
We claim "most of the adults", which indicates more than 50% or 0.50. Thus, the claim in symbolic form is; p > 0.50
B) The Null Hypothesis is;
H₀: p = 0.50
Alternative Hypothesis is;
H_a: p > 0.50
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Answer:
It'll take 7.5967 years to have $300 on that account.
Step-by-step explanation:
This problem involves a compounded interest compounded continuously, so in order to solve it we must use the formula for those cases as shown below:
M = C*e^(i*t)
Where M is the final value, C is the initial capital, i is the interest rate and t is the total time. We have:
300 = 250*e^(0.024*t)
e^(0.024*t) = 300/250
e^(0.024*t) = 1.2
0.024*t = ln(1.2)
t = ln(1.2)/0.024 = 7.5967
It'll take 7.5967 years to have $300 on that account.
There's no convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares.
<h3>What is a significance level?</h3>
A significance level simply means is the probability that an event has occured by chance.
In this case, there's convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares to absorb 1/4 cup of water. Therefore, we fail to reject the null hypothesis.
A type of error that may have been made is type II error. This is the non rejection if the null hypothesis when it's false.
Learn more about significance level on:
brainly.com/question/9163177
