Answer:
For α=0.01 and two-tailed test: t=2.8188
For α=0.025 and two-tailed test: t=2.4055
For α=0.05 and two-tailed test: t=2.0739
For α=0.10 and two-tailed test: t=1.7171
Step-by-step explanation:
In this problem, we have to estimate the value of the statistic "t" of a sample of size n=23 (22 degrees of freedom), in which the sample mean is M=770 and the sample standard deviation is s=25.
The estimated standard deviation is
The critical values of the statistic t depends on the significance level:
The degree of freedom is known: df=22.
For α=0.01 and two-tailed test: t=2.8188
For α=0.025 and two-tailed test: t=2.4055
For α=0.05 and two-tailed test: t=2.0739
For α=0.10 and two-tailed test: t=1.7171
No
18/4 is 4.5
9/3 is 3
So ur answer is no
10% of 90 is 9. You can try cross multiplying.
Answer:
Step-by-step explanation:
Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.
- sin(θ)= opposite/hypotenuse
- cos(θ)= adjacent/hypotenuse
- tan(θ)= opposite/adjacent
Now, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.
We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.
- opposite=x
- adjacent=5 m
- θ=80
Substitute in the known variables.
We want to find x, the height of the tree. Therefore we need to isolate that variable.
x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.
The question asks for an approximation, so let's round to the nearest hundredth.
The 6 in the thousandth place tells us to round the 5 to a 6.
The tree is about <u>28.36 meters tall.</u>
