Answer:
The P-value that will support this conclusion is 0.03.
Step-by-step explanation:
We are given the following hypothesis below;
Null Hypothesis,
: p = 50% {means that 50% of U.S. adults oppose the death penalty}
Alternate Hypothesis,
: p > 50% {means that majority (more than 50% of adults) oppose the death penalty}
Now, a survey was conducted in which a random sample of 1,100 U.S. adults are asked about their opinions on the death penalty, and based on the data, the researchers state, "at the 5% significance level, this survey provides strong evidence that the majority of U.S. adults oppose the death penalty.
The above information concluded that the null hypothesis has been rejected due to which we moves towards the conclusion that majority of U.S. adults oppose the death penalty.
<u>Now, the decision rule based on P-value criterion is given by;</u>
- If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis.
- If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis.
Here, the P-value which will support our conclusion is 0.03 as at only this value our P-value is less than the level of significance of 0.05 and null hypothesis is rejected.
Multiplication is a very old concept in math. So old that it dates back to ancient egypt, mesopotamia, etc. Each place probably came up with the concept on their own parallel to one another, or trade helped make the concept spread. It's very likely that the actual person who came up with the idea is unknown and won't be known since the concept is so ancient. It's like asking "who came up with the alphabet" which is an equally old concept.
Side note: multiplication is repeated addition. So if we added 3+3+3+3+3 to get 15, then we can say 3*5 = 12 as a shortcut. So its likely ancient peoples were adding the same number to itself over and over, leading them to develop a shortcut notation/method to get the answer quicker.
Answer:
Step-by-step explanation:
a.
y=0.75x
y-y1=(y2-y1)/(x2-x1)×(x-x1)
y-3=(6-3)/(8-4) (x-4)
y-3=3/4(x-4)
y-3=3/4 x-3
y=3/4 x-3+3
y=3/4 x
if y=f(x)
f(x)=0.75x
c.
f(12)=0.75×12=9$
Answer:
A = 50.2m²
Step-by-step explanation:
Given the radius = 4m:
We can solve for the Area of the circle by using the formula:
A = π<em>r </em>²
A = (3.14)(4)²
A = 3.14 (16)
A = 50.2m²
The time period for which Linda has borrowed money is 18 years.
<h3>What is Interest ?</h3>
Interest is the amount of extra money paid by the person who has taken a loan.
It is given in the question that
Principal = $ 550
Interest Rate = 1%
Interest paid = $99
Time = ?
The formula for Simple Interest is given by
I = (P*R*T)/100
99 = 550 * 1 * T /100 *12
9900 *12 / 550 = T
T = 18* 12 = 216 months or 18 years.
The time period for which Linda has borrowed money is 18 years.
To know more about Interest
brainly.com/question/13324776
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