Answer:
x = 8sqrt3
y=8
Step-by-step explanation:
cos60=y/16
y=16cos60
y=16x1/2
y=8
sin60=x/16
x=16sin60
x=(16sqrt3)/2
x=8sqrt3
y + 8 = 1/3 (x+6)
With the given information, we can use the point-slope formula, , to write the equation of the line. Substitute values for the , , and in the formula to do so.
The represents the slope, so substitute in its place. The and represent the x and y values of one point the line intersects, so substitute -6 for and -8 for . This gives the following answer and equation (just make sure to convert the double negatives into positives:
Answer: 32 feet
Step-by-step explanation:
Since 1 inch equals 8 feet and the parking lot has a width of 4 inches we multiply 8 times 4 giving you an answer of 32, so the parking lot's width is 32 feet.
Answer:
The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (<u>49</u>) < μ₁ - μ₂ < (<u>289)</u>
Step-by-step explanation:
The given data are;
Bakery A
<em> </em>= 1,880 cal
s₁ = 148 cal
n₁ = 10
Bakery B
<em> </em>= 1,711 cal
s₂ = 192 cal
n₂ = 10

df = n₁ + n₂ - 2
∴ df = 10 + 18 - 2 = 26
From the t-table, we have, for two tails,
= 1.706


≈ 178
Therefore, we get;

Which gives;

Therefore, by rounding to the nearest integer, we have;
The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289
Answer:
5. a) 2.140 + 1.725 = 3.865
b) 29.99 + 1.42 = 31.41
c) 6.157 - 1.009 = 5.148
6) 7.4 - 0.0022 = 7.2978 ✅
7.39 - 0.0012 = 7.3888
7. 140minutes / 2 hours and 20 minutes