This one is a bit confusing but I'll try to answer. Since the sum is given and one of the addend is given, we need to perform subtraction to get the other addend.
8d⁵ - 3c³d² + 5c²d³ - 4cd⁴ + 9 ⇒ SUM
<u>- 2d⁵ - c³d² + 8cd⁴ + 1 </u> ⇒ 1ST ADDEND
6d⁵ - 2c³d² + 5c²d³ -12cd⁴ - 8 ⇒ 2ND ADDEND
Answer:
1320
Step-by-step explanation:
We are given that
Total number of athelets are running in race=12
Total number of medals =3
We have to find the total possible number of ways can the 3 medals be distributed.
Total number of ways for choosen gold medal=12
Number of ways for choosen silver medal=11
Number of ways for choosen Bronze medal=10
Total number of possible ways=
Hence, total number of possible ways in which 3 medals be distributed=1320
Step-by-step explanation:
1. volume of a cylinder = pi x radius squared x height (I wasn't sure which was the radius/diameter)
2. 615.74
3. 1km
4. rearrange formula for volume of the cylinder to get the radius on 1 side. divide both sides by height and pi to leave u with r². then divide by the square root.
formula= r=square root of 3080³/3.14 × 20
5. height = volume/ pi x radius squared
6. 2463.01
7. 28.01
8. 145.955 m
9. 21.01
10. 17
Answer:
d.20.00
Step-by-step explanation:
Notation and previous concepts
A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"
represent the sample size
represent the confidence level
represent the sample variance obtained
represent the value that we want to test
Null and alternative hypothesis
On this case we want to check if the population variance is less than 66, so the system of hypothesis would be:
Null Hypothesis:
Alternative hypothesis:
Calculate the statistic
For this test we can use the following statistic:
And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.
Calculate the p value
In order to calculate the p value we need to have in count the degrees of freedom , on this case 23-1=22. And since is a left tailed test the p value would be given by:
The best option is:
d. 20.00