With the current 40 miles per hour
Against the current 30 miles per hour
bv means boat velocity with NO current
cv means current velocity
A) bv + cv = 40 mph
B) bv - cv = 30 mph
Adding both equations:
2bv = 70
boat velocity with NO CURRENT = 35 miles per hour
Using equationA
bv + cv = 40
35 + cv = 40
current velocity = 5 miles per hour
Answer:
a. Fail to reject the null hypothesis.
Step-by-step explanation:
Here we test the claim that proportion of reachers is really 41%
(Two tailed test at 1% significance level)
Observed proportion = 0.36
Sample size n = 100
Std error of proportion =
p difference = 0.36-0.41 =- 0.05
Test statistic Z = p diff/std error =-1.0166
p value=0.286
Since p >0.01 we accept null hypothesis.
a. Fail to reject the null hypothesis.
Answer:
The answer should be 2.75
Step-by-step explanation:
1.54/0.56=2.75
2.75*0.56=1.54
a)
Add the costs of material and labor together:
Subtract this value from how much Lucy sells a necklace for:
Lucy's profit from a necklace is $7.04.
Set up a fraction where the profit is the numerator, and the sale price is the denominator to get your ratio:
The ratio will be 704/1599.
b)
Divide the profit by the sale price:
Multiply the decimal by 100 to get your percentage:
Check the tenths value to round to the nearest percent:
0 < 5
44.03 ≈ 44
44% of the sale price is profit.
c)
Divide the total amount Lucy earned at the fair by the sale price of an individual necklace:
Lucy made 14 necklaces.
To find the total profit Lucy made from the fair, multiply the total amount of necklaces she made by the profit for each necklace:
Lucy's total profits were $98.56.
Answer:
<em>(16.2t+3.4u+2.9)cm</em>
Step-by-step explanation:
A triangle is a plane shape that has three sides. <em>The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides</em>. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;
P = s1+s2+s3
Given the side lengths
s1 = (8.1t-6.1)cm
s2 = (8.1t+7.1)cm
s3 = (3.4u+1.9)cm
Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9
collect the like terms
P = 8.1t+8.1t+3.4u-6.1+7.1+1.9
P = 16.2t+3.4u+2.9
<em>Hence the expression that represents the perimeter, in centimeters, of the triangle is (16.2t+3.4u+2.9)cm</em>