0.02 as a mixed number is 2/100 which is reduced to 1/50
To form the <u>converse</u> of the <u>conditional statement</u>, interchange the <u>hypothesis</u> and the <u>conclusion</u>.
Given conditional statement: "if two angles are both obtuse, the two angles are equal".
Here,
- hypotesis is: two angles are both obtuse,
- conclusion is: two angles are equal.
Then the converse statement will be: "If two angles are equal, then two angles are both obtuse".
Answer:
$30.38
Step-by-step explanation:
To find the sale price, find the percentage you pay after the discount. The discount is for 38%. So you pay 62%.
The selling price of the scarf will be 0.62(49) = 30.38
<h2><u>
Answer with explanation</u>
:</h2>
Let
be the population mean.
As per given , we have

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given
, so we perform one-tailed z-test.
Test statistic : 
, where
= Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 ,
,
,
, we have

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .
30/54 =x/1,140
30*1140= 34200
34200/54 = 633.33
ANSWER:
Estimated- 633