Answer:
Length of ribbon = 40.86 inches
Step-by-step explanation:
Length of the ribbon = circumference of the dish = πD
D = diameter = 13 inches
Length of ribbon = 22/7 x 13 = 40.857143 inches
Answer:
y = ± 
Step-by-step explanation:
Given
x = a - 2by² ( subtract a from both sides )
x - a = - 2by² ( multiply through by - 1 to clear the leading negative )
a - x = 2by² ( divide both sides by 2b )
= y² ( take the square root of both sides )
y = ±
A) There are 36 possible outcomes.
b) The probability of a sum of 6 is 5/36.
c) She should roll a sum of 7 45 times.
d) She should roll a sum of 10 45 times.
Explanation
a) There are 6 outcomes for the first die and 6 outcomes for the second one. By the fundamental counting principle, there are 6*6 = 36 outcomes for both dice together.
b) The ways to get a sum of 6 are:
1&5; 2&4; 3&3; 4&2; 5&1. There are 5 possibilities out of a total of 36, or 5/36.
c) The ways to get a sum of 7 are:
1&6; 2&5; 3&4; 4&3; 5&2; 6&1. There are 6 out of 36, or 6/36=1/6. Since she is rolling the dice 150 times, she should get a sum of 6
1/6(150) = 150/6 = 45 times.
d) The ways to get a sum of 10 or more are:
4&6; 5&5; 6&4; 5&6; 6&5; 6&6
There are 6 ways out of 36, or 6/36 = 1/6. Since she is rolling the dice 150 times, she should get a sum of 10 or more
1/6(150) = 150/6 = 45 times.
Answer:
See explanation below.
Step-by-step explanation:
Let's take P as the proportion of new candidates between 30 years and 50 years
A) The null and alternative hypotheses:
H0 : p = 0.5
H1: p < 0.5
b) Type I error, is an error whereby the null hypothesis, H0 is rejected although it is true. Here, the type I error will be to conclude that there was age discrimination in the hiring process, whereas it was fair and random.
ie, H0: p = 0.5, then H0 is rejected.
Answer:
11.25
Step-by-step explanation:
sketch a triangle and fill in the sides,add the sides and equate to 180, collect the like terms to get the value of x=11.25
