Answer: the second option I think
Step-by-step explanation:
Answer:
∠ ADC = 100° , ∠ DCB = 39°
Step-by-step explanation:
(3y + 7) and ( 3y - 13) are angles on a straight line and sum to 180° , so
3y + 7 + 3y - 13 = 180
6y - 6 = 180 ( add 6 to both sides )
6y = 186 ( divide both sides by 6 )
y = 31
Then
∠ ADC = 3y + 7 = 3(31) + 7 = 93 + 7 = 100°
and
∠ BDC = 3y - 13 = 3(31) - 13 = 93 - 13 = 80°
∠ BDC = 180° - (61 + 80)° ← angle sum in Δ BCD = 180°
= 180° - 141°
= 39°
So, ($299.95)(. 30) = $89.99
$299.95 - $89.99= $209.96
($209.96)(.05)=$10.50
$209.96 + $10.50 = $220.46
No, she can't afford it
<h2>
Answer with explanation:</h2>
Given : Sample size
Sample mean :
Sample standard deviation :
Let be the population mean of "like" ratings of male dates made by the female dates.
As per question ,
Null hypothesis :
Alternative hypothesis : , It means the test is a one-tailed t-test. ( we use t-test when population standard deviation is unknown.)
Test statistic:
For 0.05 significance and df =188 (df=n-1) p-value = .001582. [By t-table]
Since .001582< 0.05
Decision: p-value < significance level , that means there is statistical significance, so we reject the null hypothesis.
Conclusion : We support the claim at 5% significance that t the population mean of such ratings is less than 8.00.
Answer:
Step-by-step explanation:
we know that
When we compare positive fractions with the same numerator, the largest rational number will be the fraction with the lowest denominator
In this problem we have
and
Both numerator are equal
Compare the denominators
therefore
is the largest rational number