Answer:
5 meters
Step-by-step explanation:
Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.
c = √( a² + b² )
c² = a² + b²
b² = c² - a²
b = √ ( c² - a² )
b = √ ( 13² - 12² )
b = 5 meters
Correct me if I'm wrong. I hope it helps.
It does not look like Suro even made an error. She took the square root of both sides to get x = 7, I don't see any problem here.
Answer:
39.27
Step-by-step explanation:
The area of a semi-circle is pi times the radius squared divided by 2. So basically standard area of a circle formula (pi times the radius squared) but then you add in the extra step of dividing it by 2.
The formula looks like this:
π × r² ÷ 2
The radius is half the diameter of the circle. So basically think of it as a line to the middle of the circle. Our diameter is 10, (the diameter is the entire length of the circle. It gives us this already. If you need diameter and only have the radius add the radius together twice or multiply it by 2 to get the diameter. Fun fact..?)
and it tells us to substitute pi for 3.142.
So, plugging our numbers in we get:
3.142 x 5^2 ÷ 2 = 39.275.
Cut out the 3rd decimal place (5) as it tells us to only include the first 2 decimal places, and we finally end up with 39.27.
<u>Hope this helps and have a nice day!</u>
Complete question :
The average daily volume of a computer stock in 2011 was p = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of 40 trading days in 2014, he finds the sample mean to be 30.9 million shares, with a standard deviation of s = 11.8 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below. State the hypotheses for the test. Construct a 95% confidence interval about the sample mean of stocks traded in 2014.
Answer:
H0 : μ = 35.1 ;
H1 : μ < 35.1 ;
(26.488 ; 35.312)
Step-by-step explanation:
The hypothesis :
H0 : μ = 35.1
H1 : μ < 35.1
The confidence interval :
Xbar ± Margin of error
Xbar = 30.9
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
Margin of Error = 1.96 * (11.8/sqrt(40))
Margin of Error = 4.412
Lower boundary :
30.9 - 4.412 = 26.488
Upper boundary :
30.9 + 4.412 = 35.312
Confidence interval = (26.488 ; 35.312)
Since the population mean value exists within the interval, the we fail to reject the Null.
Answer:
c = -3x² + x + 17
Step-by-step explanation:
c = g - 4f
f = 2x² - 5
g = 5x² + x - 3
c = (5x² + x - 3) - 4(2x² - 5)
c = 5x² + x - 3 - 8x² + 20
c = -3x² + x + 17
