How many 8 oz bags of trail mix can be filled from a 10 pound bag of trail mix?

A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser

Zepler [3.9K]

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

$H_0 :P \geq 0.49\\\\H_1:P$

Significance level: $\alpha = 0.10$

It is decided that the null hypothesis at the defined meaning level is rejected.

5 0

3 years ago

I need the domain range and function. With an explanation

erastovalidia [21]

<h3>Answers:</h3>

Problem 1

Domain = $-3 < x \le 3$ , interval notation (-3, 3]
Range = $-3 \le y < 3$ , interval notation [-3, 3)
Is it a function? Yes

Problem 2

Domain = $x \ge -2$ , interval notation $[-2, \infty)$
Range = All real numbers, interval notation $(-\infty, \infty)$
Is it a function? No

Problem 3

Domain = $-4 \le x < 3$ , interval notation [-4, 3)
Range = $-4 < y \le 3$ , interval notation (-4, 3]
Is it a function? Yes

Problem 4

Domain = All real numbers, interval notation $(-\infty, \infty)$
Range = $y \le 4$ , interval notation $(-\infty, 4]$
Is it a function? Yes

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Explanations:

The left most point is when x = -3, and we are not including this value due to the open hole. The other endpoint is included because it is a filled in circle. The domain is therefore $-3 < x \le 3$ which in interval notation is (-3, 3]. We have the curved parenthesis meaning "exclude endpoint" and the square bracket says "include endpoint". The range is a similar story but we're looking at the smallest and largest y values. Though be careful about which endpoint is open/closed. We have a function because it passes the vertical line test.
The smallest x value is x = -2. There is no largest x value because the arrows say to go on forever to the right. We can say the domain is $x \ge -2$ which in interval notation is $[-2, \infty)$ . The range is $(-\infty, \infty)$ to indicate "all real numbers". This graph fails the vertical line test, so it is not a function. The vertical line test is where we check to see if we can pass a vertical line through more than one point on the curve. In this case, such a thing is possible which is why it fails the test.
This is the same idea as problem 1, though note the endpoints are flipped in terms of which has an open circle and which doesn't. It is not possible to draw a single vertical line to have it pass through more than one point on the curve, so it passes the vertical line test and we have a function.
This is a function because it passes the vertical line test. The domain is the set of all real numbers due to the arrows in both directions. Any x value is a possible input. The range is $y \le 4$ which is the same as saying $(-\infty, 4]$ in interval notation. This is because y = 4 is the largest y value possible. There is no smallest y value due to the arrows.

7 0

3 years ago

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than

-BARSIC- [3]

Answer:

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

7 0

3 years ago

Anthropologists can estimate the height of a woman by measuring the length of her radius bone (from the wrist to the elbow). The

zloy xaker [14]

B = 0.26 h - 18.85,
where b is the length of the radius bone and h is the height.
To find the equation for height of a woman, you can solve the equation for h.
0.26 h = b + 18.85
h = ( b + 18.85 ) / 0.26
h = ( 100 b + 1,885 ) / 26
Then you can plug in the length of the radius bone in this equation.

4 0

3 years ago

PLEASE ANSWER ASAP What does it mean for a scatter plot to have a negative trend?

mestny [16]

Answer:

D: None of these are true

Explanation:

If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables

4 0

3 years ago

How many 8 oz bags of trail mix can be filled from a 10 pound bag of trail mix?​

How many 8 oz bags of trail mix can be filled from a 10 pound bag of trail mix?