<h2>
Answer with explanation:</h2>
Let 
be the population mean.
By considering the given information , we have
Null hypothesis : 
Alternative hypothesis : 
Since alternative hypothesis is right-tailed , so the test is a right-tailed test.
Given : Sample size : n=16 , which is a small sample , so we use t-test.
Sample mean: 
;
Standard deviation: 
Test statistic for population mean:
i.e. 
Using the standard normal distribution table of t , we have
Critical value for 
: 
Since , the absolute value of t (2.333) is smaller than the critical value of t (2.602) , it means we do not have sufficient evidence to reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the claim that answering questions while studying produce significantly higher exam scores.
It was 1.5 times the length of Noah's bike ride as Mai’s bike ride.
The problem we dealing with is related to mixed numbers which are referred to as mixed numbers and could be the whole number, and a proper division spoke together. It for the most part speaks to a number between any two whole numbers.
Since we are providing mai's rate which is 6 3/4 miles and Noah's rate of 4 1/2 miles, So in order to find the time the length of Noah's ride is compared to Mal's, we just need to divide the given rates by each other
=> 6 3/4 divided by 4 1/2,
=> 27/4 divided by 9/2, (The result is an improper fractions)
=> 27/4 X 2/9
=>3/2
=> 1.5
To know more about mixed numbers refer to the link brainly.com/question/24137171?referrer=searchResults.
#SPJ1
Answer:
36
Step-by-step explanation:
10*3600/1000
36000/1000
36 km/hr
Answer:
- x = -1/2(1 +√21) ≈ -2.79129
- x = -1/2(1 -√21) ≈ 1.79129
Step-by-step explanation:
We assume the middle term is supposed to be 4x.
We can remove a common factor of 4 to simplify this a bit.
x^2 +x -5 = 0
This is of the form
ax^2 +bx +c = 0
where a=1, b=1, c=-5.
__
The <em>quadratic formula</em> gives the solutions as ...
Filling in the given coefficients, we have ...
x = (-1 ±√(1^2 -4·1·(-5)))/(2·1)
x = (-1±√21)/2
The solutions are x = -1/2(1 +√21) and -1/2(1 -√21).
_____
<em>If what you wrote is what you intend</em>, then the equation simplifies to 4x^2 -16 = 0.
Dividing by 4 and factoring the difference of squares gives ...
x^2 -4 = 0
(x -2)(x +2) = 0
These factors are zero (hence their product is 0) for the values x = 2 and x = -2.
The solutions are x=2 and x=-2.
