Answer:
0.43715
Step-by-step explanation:
We solve using z score calculator
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = $276,000
σ is the population standard deviation = 32,000
For x = $276,000
z = 276,000 - 276,000/32000
z = 0
Probability value from Z-Table:
P(x = 276000) = 0.5
For x = $325,000
z = 325,000 - 276,000/32000
z = 1.53125
Probability value from Z-Table:
P(x = 325000) = 0.93715
The probability that the next house in the community will sell for between $276,000 and $325,000 is
P(x = 325000) - P(x = 276000)
= 0.93715 - 0.5
= 0.43715
The Measure of the Missing Angles can be found by this formula: x+y+z= 180°.
You already know the measure of 1 Angle, which is 30°, right?
You also know that this Triangle is a Right Triangle, so the Square for One Angle indicates that the Angle is 90°.
y= 90°, and z= 30°, and you know that the Total Measure of any Triangle is 180° Total.
90°+30° = 120°, and 180°-120°= 60°, so finally, x= 60°, and y=90°, and z= 30°.
1. 34.8 2. 127.2 the other ones
Sum of interior angles of a △ = 180°
∴ ∠T + ∠V + ∠U = 180°
⇒ 37° + 63° + X° = 180°
⇒ X° + 100 = 180°
⇒ X° = 180° - 100°
⇒ X° = 80° (D).
11 liters of 25% orange juice, 4 liters of 10% orange juice:
1' let x to be 25% orange juice and y be 10% orange juice
2' .25x+.10y=(15).21
3' x+y=15
4' 2.5x+y=31.5 divide all sides by 10
5' -x-y=-15 multiply all sides by -1
6' 1.5x=16.5
7' x=11
8' y=15-11=4
so 11 and 4 are the answers.
