<h2><u>
Answer with explanation</u>
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Let 
be the distance traveled by deluxe tire .
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since 
is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=sample standard deviation
For 
, we have
By using z-value table,
P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23) [∵P(Z≤-z)=1-P(Z≤z)]
=1-0.9871=0.0129
Decision : Since p value (0.0129) < significance level (0.05), so we reject the null hypothesis .
[We reject the null hypothesis when p-value is less than the significance level .]
Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.
Answer:
a=1/3
Step-by-step explanation:
from the point on the graph
x=4 and y=8
substitute them into the equation:
y=a(x-2) (2x+4)
you will get
8=a(4-2) (2(4)+4)
8=a(2) (8+4)
8=a(2) (12)
8=2a×12
8=24a
divide both sides by 24
8/24=24a/24
1/3=a or a=1/3
Answer:
86.5%
Step-by-step explanation:
Answer:
every 1/4 inch on the map is 1 mile.
You need to find the number of 1/4 inches there are in 3 1/2 inches.
There are four 1/4 inches per inch.
3 x 4 = 12
There are two 1/4 inches in 1/2 inch.
12+2 = 14
The cities are 14 miles apart.
Answer:
last option
Step-by-step explanation:
To prove that ΔEFG is also a right triangle, you must prove that KL = EF so that in ΔKLM c² = a² + b² which would make ΔEFG a right triangle.
