Answer: 0.02055867
Step-by-step explanation:
Given : 
, since the alternative hypothesis is two-tailed , so the test is a two tailed test.
Sample size : n= 30
Degree of freedom for t-distribution = 
Test statistic= t= -2.43
By using the normal t-distribution table ( or calculator ) , we have
The corresponding P-value for two tailed test = 0.02055867
Answer:
statement D is correct.
<em>Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5</em>
<em>Reason: Vertical Angles Theorem</em>
Step-by-step explanation:
Given that
3 ≅ ∠7 and ∠4 ≅ ∠8
from statement 2 because they are corresponding angles.
∠8 ≅ ∠5
because its vertical angles
The vertical angles theorem is about angles that are opposite each other.
So,
∠4 ≅ ∠8 and ∠8 ≅ ∠5
which means
<h3> ∠4 ≅ ∠5 </h3>
Hence,
∠3 = ∠7
∠4 = ∠5
they are known as interior alternative angles.
Answer:
25% Discount
Step-by-step explanation:
find the percent of discountOriginal price Sale Price
$60
% $45 =
$60 was the SP
$45 is the MP
discount = 60/45 * 100 = 75
100 - 75 = 25%
Answer:
f(0)=1
Step-by-step explanation:
The question asks us to find f(0). We want to find what f(x), or y is, when x is equal to 0.
f(x)=3^x
Therefore, we can substitute 0 in for x.
f(0)=3^0
Evaluate the exponent, 3^0.
Any number raised to the power of zero is equal to 1.
f(0)=1
Answer:
62.5%
Step-by-step explanation:
