Answer:
Yes, we reject the auto maker's claim.
Step-by-step explanation:
H0 : μ ≥ 20
H1 : μ < 20
Sample mean, xbar = 18 ;
Sample size, n = 36
Standard deviation, s = 5
At α = 0.01
The test statistic :
(xbar - μ) ÷ s /sqrt(n)
(18 - 20) ÷ 5/sqrt(36)
-2 /0.8333333
= - 2.4
Pvalue from test statistic : Pvalue = 0.00819
Pvalue < α
0.00819 < 0.01
Hence, we reject the Null
Answer:
The last answer; 12.
Step-by-step explanation:
In order to solve this, use substitution. Since it gives you an equation for y, substitute that equation in the other formula as y. This will give you:
Then simplify:
Since 6x - 6x cancels out, you are left with 12.
$9.96 To do the math take your starting value and multiply 9.40 by 1.06 (1 in the 1's place because you are just adding 6%) (0.6 in the hundredths place due to the 6/100% or 06/100%)
Answer:
You can do these "in your head" like this:
50 dimes would be $5.00
Each quarter adds 15 cents.
10.25 - 55.00 = $5.25 added
Step-by-step explanation:
525/15 = 35 quarters
--> 15 dimes
==========================
or,
d + q = 50
10d + 25q = 1025
etc
<span>Use a proportion:
x/(5 1/2) = 50/4
--------
x = (11/2)(50/4)
--------
x = 550/8
----
x = $68.75</span>
