Answer:
4x+3y=68
9x+2y=77
plain= 5 shiny=16
Step-by-step explanation:
plain=x shiny=y
5/6 of girls and ⅛ of boys are honour studens. Then 1/6 of girls are not honour. And as there is the same number of boys and girls in the class, then not honour girls take 1/6 girls' number and half of that number from all class: 1/6 * ½ = 1/12.
The surface area of the solid formed is about 598.33 in²
<h3>What is an
area?</h3>
Area is the amount of space occupied by a two dimensional shape or object.
1 5/6 in = 11/6 in, 8 2/3 in = 26/3 in
Hence:
Surface area = 5(10 * 10) + (0.5 * 10 * 26/3) + 3(10 * 11/6) = 598.33 in²
The surface area of the solid formed is about 598.33 in²
Find out more on area at: brainly.com/question/25292087
Answer:
= -1/4x +3/7y+10
Step-by-step explanation:
3/7y=x/4+10=-1/4x+3/7y+10
Answer:
We fail to reject the null hypothesis because -1.7678 does not fall inside the rejection region {z | z < -1.96 or z >1.96}
Step-by-step explanation:
We have that the machine will fill bottles according to a normally distributed process, let's say is a random variable that represents this process. We know that has a mean of 47 fluid ounces and a standard deviation of 0.4 fluid ounces. We have a sample of n = 50 bottles and the observed value .
We want to test
vs (two-tailed alternative)
We have n = 50 large enough, and the point estimator of the mean , which is normally distributed with the same mean than , i.e., , and with standard deviation given by . Therefore, our test statistic is
and
.
As we want a significance level of 0.05, we should find the values and , i.e., the 2.5th quantile and the 97.5th quantile for the standard normal distribution. These values are -1.96 and 1.96 respectively. The rejection region is given by {z | z < -1.96 or z >1.96}. We fail to reject the null hypothesis because -1.7678 does not fall inside the rejection region.