Answer:
x = 1.71
Step-by-step explanation:
NEED HELP Solve.y=2x-64x-2y=14
1 answer:
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Considering the given linear function, the inequality graphed is:
B. .
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The line intersects the y-axis at 2 units, hence the y-intercept is b = 2. The function also passes through (1,4), hence the slope is:
m = (4 - 2)/(2 - 1) = 2.
Thus the equation of the line is:
y = 2x + 2.
The left-side of the line is the values above the line, hence the inequality is:
B. .
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
The null and alternative hypothesis are:
where μ1: mean calorie estimation for the cheesecake group and μ2: mean calorie estimation for the organic salad group.
There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first (P-value=0.0000002).
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>"Suppose that the study was based on a sample of 20 people who thought about the cheesecake first and 20 people who thought about the organic fruit salad first, and the standard deviation of the number of calories in the cheeseburger was 128 for the people who thought about the cheesecake first and 140 for the people who thought about the organic fruit salad first.</em>
<em>At the 0.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first?"</em>
<em />
This is a hypothesis test for the difference between populations means.
The claim is that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.
Then, the null and alternative hypothesis are:
The significance level is 0.01.
The sample 1 (cheese cake), of size n1=20 has a mean of 780 and a standard deviation of 128.
The sample 2 (organic salad), of size n2=20 has a mean of 1041 and a standard deviation of 140.
The difference between sample means is Md=-261.
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this test are:
This test is a left-tailed test, with 38 degrees of freedom and t=-6.153, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.0000002) is smaller than the significance level (0.01), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.
<h2>Hello!</h2>
The answer is:
The area is equal to 113.04 units.
<h2>Why?</h2>To find the area of the circle, we need to use the given information about the radius (6).
So, the area of a circle is given by the following formula:
Where,
Substituting the given radius, we have:
Have a nice day!