ANSWER
(D)54.1°
EXPLANATION
The measure of angle P can be calculated using the cosine ratio.
We know the adjacent side to angle P to be 33.8 and the hypotenuse of the right triangle is 57.6 units.
Take cosine inverse,
To the nearest tenth, the measure of <P is 54.1°
-19
Explanation: 22-41=-19
Answer: The mean difference is between 799586.3 and 803257.9.
Step-by-step explanation: To estimate the mean difference for confidence interval:
Find the statistic sample:
- d = value of 6th - value of 13th;
- Sample mean of difference: mean = ∑d / n
- Sample standard deviation: s = ∑(d - mean)² / n - 1;
For the traffic count, mean = 1835.8 and s = 1382607.3
The confidence interval is 90%, so:
α = 
α = 0.05
The degrees of dreedom are:
df = n - 1
df = 10 - 1
df = 9
Using a t-ditribution table, the t-score for α = 0.05 and df = 9 is: t = 1.833.
Error will be:
E = 
E = 1.833.(
)
E = 801422.1
The interval is: mean - E < μ < E + mean
1835.8 - 801422.1 < μ < 1835.8+801422.1
-799586.3 < μ < 803257.9
The estimate mean difference in trafic count between 6th and 13th using 90% level of confidence is between 799586.3 and 803257.9.
Answer:
x = number of months
19.5x + 55 = 250
- 55 = 250 - 55
19.5x = 195
x = 195 ÷ 19.5
x = 10
10 months
Step-by-step explanation:
We need to find the number of months represented by x. We know that there is a monthly fee of 19.50. so we can multiply x by 19.50. we are also given an additional 55 fee for the membership. so we need to add 55 to 19.50 multiplied by the number of months. we have a total of 250 to spend. this gives us our equation:19.5x + 55 = 250. To solve for x we can first start with subtracting 55 to both sides of the equation. Because what we do to one side of the equation we must also do to the other side of the equation.
19.5x + 55 = 250
-55 = 250 -55
which helps us simplify the equation to
19.5x = 195
Now we are able to divide both sides by the 19.5 to give us our x amount.
19.5 ÷ 19.5x = 195 ÷ 19.5
This gives us 1x or 1 times x equals 10
1(x) = 10
Since 1 multiplied by x equals the same number, x is then equal to 10
x = 10
