<span>it's y-intercept (0,-1) and (1,2)
so
slope = (2+1)/(1-0) = 3
</span><span>equation should be y = 3x − 1
answer: </span><span>y = 3x − 1</span>
Answer:
$0 < p ≤ $25
Step-by-step explanation:
We know that coach Rivas can spend up to $750 on 30 swimsuits.
This means that the maximum cost that the coach can afford to pay is $750, then if the cost for the 30 swimsuits is C, we have the inequality:
C ≤ $750
Now, if each swimsuit costs p, then 30 of them costs 30 times p, then the cost of the swimsuits is:
C = 30*p
Then we have the inequality:
30*p ≤ $750.
To find the possible values of p, we just need to isolate p in one side of the inequality.
So we can divide both sides by 30 to get:
(30*p)/30 ≤ $750/30
p ≤ $25
And we also should add the restriction:
$0 < p ≤ $25
Because a swimsuit can not cost 0 dollars or less than that.
Then the inequality that represents the possible values of p is:
$0 < p ≤ $25
<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
==============================================
Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
-------------------
The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
Answer:
paki sagot naman po para my isagot ako sa module ko
Answer:
a) 66.1 < μ < 82.7
b) 71.9 < μ < 97.7
c) D. No, because the two confidence intervals overlap, we cannot conclude that the two population means are different.
Step-by-step explanation:
Confidence interval is given by the formula
M±t×(
) where
- M is the sample mean
- t is the corresponding t value for 95 confidence level
- s is the sample standard deviation
- N is the sample size
<u>a. Construct a 95% confidence interval estimate of the mean pulse rate for males.</u>
For men:
M=74.4 t=2.262 s=11.6207 N=10 then confidence interval is:
74.4±2.262×(
) ≈ 74.4±8.3
<u>b. Construct a 95% confidence interval estimate of the mean pulse rate for females.</u>
For women:
M=84.8 t=2.262 s=18.0488 N=10 then confidence interval is:
84.8±2.262×(
) ≈ 84.8±12.9
<u>c. Compare the preceding results. Can we conclude that the population means for males and females are different?</u>
Difference of Population means for males and females are not statistically significant, since confidence intervals overlap.
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