Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
cos(x) = sin(15°)
x = arccos(sin(15°)) = 75°
Answer:
Mean weight gained of two goods is not significantly different under 0.05 or 0.01 significance level, but it is under 0.10 significance level.
Step-by-step explanation:
We need to calculate the z-statistic of the differences of sample means and compare if it is significant under a significance level.
Z-score can be calculated using the formula:
z=
where
- X is the mean weight gain for in the first three months after birth for babies using the Gibbs products.
- Y is the mean weight gain for in the first three months after birth for babies using the competitor products
- s(x) is the population standard deviation of the sample for Gibbs brand
- s(y) is the population standard deviation of the sample for competitor brand
- N(x) is the sample size for babies used Gibbs product
- N(y) is the sample size for babies used competitor product.
putting the numbers in the formula:
z=
≈ -1.51
and z-table gives that P(z<-1.51) = 0.0655
To conclude if the competitor good is significantly better, we need to choose a significance level and compare it to 0.0655.
For example, the difference in mean weight gained of two goods is not significant under 0.05 or 0.01 significance since 0.0655 is bigger than these values. But we can conclude that under 0.10 significance, competitor brand mean weight gain is significantly more than the Gibbs brand mean weight gain.
Answer:
Proportion states that the two fractions or ratios are equal.
Given the statement: A 36-foot-tall tree casts a 9-foot shadow.
To find the height of the nearby tree that cast a 14 foot shadow at the same time.
Let x be the height of the nearby tree.
By definition of proportion;

Substitute the given values we get;

Simplify:

Multiply both sides by 14 we get;
foot.
therefore, the height of the nearby tree is, 56 foot.
Here are the steps to answer this question:
1. Find the denominator. Since there is 8 possible outcomes, our denominator will be 8.
2. Find the numerator. To do this we need to find out of all the 8 possible outcomes, how many are them are y. Since its only 1 y, the numerator will be 1.
3. Now all we have to do now is make our fraction. The 8 possible outcomes given, only one of them has y which means that our fraction will be 1/8.
4. Answer: 1/8 or .125 or 12.5% chance for the spinner to land on y. I hope this helps!