Step-by-step explanation:
98 = 188t - 16t^2
-16t^2 + 188t = 98
-16t^2 + 188t - 98 = 0
8t^2 - 94t + 49 = 0
Use the quadratic formula with a = 8 , b = -94 , c = 49 to get the solutions
t = [(47 - root 1817) / 8]≈ 0.55
and
t = [(47 + root 1817) / 8] ≈ 11.20
Answer: No, these results are not statistically significant because
p > 0.05
Step-by-step explanation:
The null hypothesis is
H0 : μ = 17
The alternative hypothesis is
H 1 : μ ≠ 17
where μ is the mean amount of cereal in each box.
The p value that he got is 0.1499. This is greater than alpha = 0.05 which is the given level of significance.
If the level of significance is lesser than the p value, we would accept the null hypothesis.
Therefore, the correct option is
No, these results are not statistically significant because p>0.05
The length of the rectangular base is 9in
<h3>How to determine the value</h3>
It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;
Volume = lwh/3
Where;
- l is the length of the rectangular base of the pyramid
- w is the width of the rectangular base of the pyramid
- h is the height of the rectangular base of the pyramid
Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;
168 = l × 7 × 8/ 3
cross multiply
l × 7 × 8 = 168(3)
Find the product
56l = 504
To determine the length, divide both sides by 56, we get;
l = 504/ 56
l = 9In
Hence, the value is 9in
Learn more about volume here:
brainly.com/question/463363
#SPJ1
Answer:
Step-by-step explanation:
The idea here is to get the left side simplified down so it is the same as the right side. Consequently, there are 3 identities for cos(2x):
,
, and
We begin by rewriting the left side in terms of sin and cos, since all the identities deal with sines and cosines and no cotangents or cosecants. Rewriting gives you:
Notice I also wrote the 1 in terms of sin^2(x).
Now we will put the numerator of the bigger fraction over the common denominator:
The rule is bring up the lower fraction and flip it to multiply, so that will give us:
And canceling out the sin^2 x leaves us with just
which is one of our identities.
Answer:
A. 53
Step-by-step explanation
You use tangent to find the angle measure of MAD.
Tan (x) = 16/12
x = 53 degrees
