Answer: 60°
<u>Step-by-step explanation:</u>
∠5 and ∠2 form a Linear Pair so their angles are supplementary.
∠5 + ∠2 = 180
130 + ∠2 = 180
∠2 = 50
∠2 + ∠3 + ∠4 = 180 <em>Triangle Sum Theorem</em>
50 + ∠3 + 70 = 180
∠3 + 120 = 180
∠3 = 60
<h2><u>
Answer with explanation</u>
:</h2>
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.
ndex Notation and Powers of 10
10 to the Power 2
The exponent (or index or power) of a number says
how many times to use the number in a multiplication.
102 means 10 × 10 = 100
(It says 10 is used 2 times in the multiplication)
Example: 103 = 10 × 10 × 10 = 1,000
In words: 103 could be called "10 to the third power", "10 to the power 3" or simply "10 cubed"
Example: 104 = 10 × 10 × 10 × 10 = 10,000
In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"
Answer:
Its is 85
Step-by-step explanation:
It is 85 because you need to see out of all of those numbers which one is one is in the middle so just mark one number from each side untill you get to the middle number!
Answer:
C. 2x^2-7x+7
Step-by-step explanation:
(3x^2-2x+2)-(x^2+5x-5) <em>Given</em>
From the given you will subtract like terms from both parenthesis.
3x^2-x^2=2x^2
-2x-5x=-7x
2-(-5)=7
