Answer:
a) Null and alternative hypothesis:
b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.
c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.
d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%
e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.
Step-by-step explanation:
a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.
Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.
On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.
This can be written as:
Because you're trying to make them congruent, equal the two expressions to each other.
So, for #10 you would equal them so it would look like this.
2x+2=5x-19
Then you would just go ahead and simplify
2x+2=5x-19
-2x -2x
---------------
2= 3x -19
+19 +19
---------------
21=3x
--- ----
3 3
x=7
This means that x should be 7. You can check this just by plugging it in
2x+2
2(7)+2 = 16
5x-19
5(7)-19= 16
Same with #11.
x+8=3x-14
-x -x
--------------
8=2x-14
+14 +14
--------------
22=2x
--- ----
2 2
x=11
Check.
x+8
11+8= 19
3x-14
3(11) - 14 = 19
Answer:
78 cm³ of space is left inside the closet.
Step-by-step explanation:
Given that,
A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.
We need to find the space is left inside the closet around the box.
Space left = volume of the closet - volume of the box
= 5×3×6 - 2×3×2
= 90 - 12
= 78 cm³
So, 78 cm³ of space is left inside the closet.
The distance of Erika from kite directly is 35.71 yards
Step-by-step explanation:
Considering the given situation as a right triangle with string as hypotenuse and the distance between both girls as base
So,
As the triangle is a right triangle, we can use pythagoras theorem to solve this problem.
Rounding off to nearest hundredth
=> 35.71 yards
Hence,
The distance of Erika from kite directly is 35.71 yards
Keywords: Triangle, Pythagoras
Learn more about triangle at:
#LearnwithBrainly
Answer:
A complex number is any number that can be written as \greenD{a}+\blueD{b}ia+bistart color greenD, a, end color greenD, plus, start color blueD, b, end color blueD, i, where iii is the imaginary unit and \greenD{a}astart color greenD, a, end color greenD and \blueD{b}bstart color blueD, b, end color blueD are real numbers.
Step-by-step explanation:
