The sum of two numbers is 73. Twice the smaller number is one less than the larger number. The smaller number is
1 answer:
You might be interested in
Solution:
we have been asked to verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial
To verify that whether the given values are zeros or not we will substitute the values in the given Polynomial, if it will returns zero, it mean that value is Zero of the polynomial. But if it return any thing other than zeros it mean that value is not the zero of the polynomial.
Let
Hence -5, 1/2, and 3/4 are not the zeroes of the given Polynomial.
Since sum of roots
But
Hence we do not find any relation between the coefficients and zeros.
Anyway if the given values doesn't represents the zeros then those given values will not have any relation with the coefficients of the p[polynomial.
Answer:
Test statistic t=6.505
P-value=0
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that parents tend to underestimate their youngest child's size.
Then, the null and alternative hypothesis are:
The significance level is assumed to be 0.05.
The sample has a size n=39.
The sample mean is M=7.5.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.
The estimated standard error of the mean is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this sample size are:
This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):
As the P-value (0) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that parents tend to underestimate their youngest child's size.