Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq = 
= 
cosq = 
= 
The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.
<h3>What is a normal distribution?</h3>
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
A.) The percentage of all possible values of the variable that lie between 5 and 9.
P(5<X<9) = P(X<9) - P(5<X)
= P(z<1.5) - P(-0.5<z)
= 0.9332 - 0.3085
= 0.6247
= 62.47%
B.) The percentage of all possible values of the variable that exceed 1.
P(X>1) = 1 - P(X<-2.5)
= 1-0.0062
= 0.9938
= 99.38%
C.) The percentage of all possible values of the variable that are less than 4.
P(X<4) = P(X <4)
= P(z<-1)
= 0.1587
= 15.87%
Learn more about Normal Distribution:
brainly.com/question/15103234
#SPJ1
<h2>approximately 93 million miles Definition of astronomical unit. For general reference, we can say that one astronomical unit (AU) represents the mean distance between the Earth and our sun. An AU is approximately 93 million miles (150 million km). It's approximately 8 light-minutes.</h2>
<span>x=y+2
2y=x-1
substitute </span>x=y+2 into 2y=x-1
2y=x-1
2y=y+2 -1
2y - y = 1
y = 1
<span>x=y+2
</span><span>x=1+2
x=3
answer
x = 3 and y = 1</span>
Answer:
Friday's game generates $1,664 while Sunday's, game generates $1,768 for a total of $3432.00.
Step-by-step explanation:
First, identify what you know:
1) A baseball team has home games on Friday and Sunday
2) Both games, combined, earned $3432.00
3) Friday's game generated $104.00 less than Sunday's game.
We can create a formula to solve our problem!
$3,432 = x + (x - 104)
$3,432 + 104 = x + x
$3,536 = 2x
$3,536/2 = x
x = $1,768
Sunday's game earned $1,768! If Friday's game earned $104 less, then simply subtract that from Sunday's earning!
$1,768 - $104 = $1,664
Friday's game cost $1,664, and Sunday's game earned $1,768!
Hope this helps! :)
