Answers ASAP please I really need it
2 answers:
You might be interested in
Answer:
Yes. The data provide enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.
P-value=P(t>2.84)=0.0024
Step-by-step explanation:
Hypothesis test on the population mean.
The claim is that the mean weight of one-year-old boys is greater than 25 pounds.
Then, the null and alternative hypothesis are:
The significance level is α=0.05.
The sample size is n=354. The sample mean is 25.8 pounds and the sample standard deviation is 5.3 pounds. As the population standard deviation is estimated from the sample standard deviation, we will use a t-statistic.
The degrees of freedom are:
The t-statistic is:
For a right tailed test and 353 degrees of freedom, the P-value is:
As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.
There is enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.
Answer:
Option (c) is correct.
The approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters
Step-by-step explanation:
Given:A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congruent isosceles triangles connected at their bases.
also, Given: The base of each triangle measures 2 centimeters and the perimeter of each triangle is 10 centimeters.
We have to find the approximate total area of the plastic triangles on the spinner.
Perimeter of triangle is the sum of sides.
Since given the triangle to be isosceles .
Let the two equal side be x cm, then,
Perimeter of given triangle = 1 0
⇒ x + x + 2 = 1 0
⇒ 2x = 8
⇒ x = 4
Thus, side of triangle is 4 cm.
Now we find the area of isosceles triangle.
We first find the height, using Pythagoras theorem,
Putting values, we get,
Solving we get,
Thus, area of one isosceles triangle
area of one isosceles triangle
On solving we get,
Approximate area of one plastic triangles on the spinner is 3.9 square centimeters.
Thus, the approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters
Option (c) is correct.