Answer: 313.1 feet
Step-by-step explanation:
\tan 82=\frac{x}{44}
tan82=
44
x
44\tan 82=x
44tan82=x
x=313.0763\approx \mathbf{313.1}\text{ feet}
x=313.0763≈313.1 feet
Answer:
10 were successful
Step-by-step explanation:
40x25%=10
Standard form of polynomial = ax² + bx + c
Zeros: x = {-2,3}
This gives the factors as, (x + 2) (x - 3)
On expanding this:
(x + 2) (x - 3)
x(x - 3) + 2(x - 3)
x² - 3x + 2x - 3
x² - x - 3
Polynomial = <em>x² - x - 3</em>
Let the first angle be x and the second be y.
Supplementary angles add up to 180, so:
x + y = 180
Also, as given in the statement:
x = 4y - 25
Substituting into the first equation:
4y - 25 + y = 180
5y = 205
y = 41
x = 4(41) - 25
x = 139
One angle is 139° and the other is 41°.
Answer:
$12.43
Step-by-step explanation:
Given :
Mean = $8.52
Standard deviation, = $2.38
Stock price which falls beyond 0.05 of the distribution is at the 95th percentile
The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)
We obtain the value of x, with z = 1.645
Using the Zscore relation :
Zscore = (score - mean) / standard deviation
1.645 = (score - 8.52) / 2.38
Cross multiply :
1.645 * 2.38 = score - 8.52
3.9151 = score - 8.52
Score = 8.52 + 3.9151
Score = $12.4351
Stock price beyond 0.05 is $12.43
