Answer:
the pennies does not conform to the US mints specification
Step-by-step explanation:
z = (variate -mean)/ standard deviation
z= 2.5 - 2.4991 / 0.01648 = 0.0546
we are going to check the value of z in the normal distribution table, which is the table bounded by z.
checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)
we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim
since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification
the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected
Part A)The given equation is:

The radicand or discriminant(d) of the equation will be:

Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)The given equation is:

We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:
I think the answer is 6.6
Answer:
Step-by-step explanation:
Let Carl do the job in c days, Anne- in a, and Bob in b days
Then the portion of job they can do is 1/c, 1/a and 1/b
<u>As per given we have below equations:</u>
- 1/c + 1/b= 1/6
- 1/a + 1/b = 1/3
- 1/a + 1/c = 1/5
<u>Sum of all 3 equations gives us:</u>
- 2(1/a + 1/b + 1/c) = 1/6 + 1/3 + 1/5
- 2(1/a + 1/b + 1/c) = 5/30 + 10/30 + 6/30
- 2(1/a + 1/b + 1/c) = 21/30
- 2(1/a + 1/b + 1/c) = 7/10
- 1/a + 1/b + 1/c = 7/20
It means all three together can complete 7/20 of the job in one day
<u>The rest of the job is done by Anne and Bob:</u>
<u>As Anne and Bob can do 1/3 of the job in one day, they need time to complete the rest:</u>
<u>Add 1 day to this to find overall time:</u>
- 1 + 39 /20 = 59/20 days or 2.95 days