Z°=48°
Think about the rule that ALL triangles must have a sum of all angles to be 180°.
So 90°+42°=132°
180°-132°=48°
Feel free to check your work too!
90°+42°+48°=180°
So you’re answer is z°=48°
30 tens + 2 ones = 32
Hope I helped :P
Answer:
$6.83
Step-by-step explanation:
First calculate the before-tax total amount:
$0.75 + $0.75 + $0.75 + $4.25, or
3($0.75) + $4.25 = $2.25 + $4.25 = $6.50 (total before tax)
The before-tax total PLUS the 5% tax comes to:
$6.50 + 0.05($6.50) = $6.50 + $0.33 = $6.83
Answer:
Step-by-step explanation:
Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = length of time
u = mean time
s = standard deviation
From the information given,
u = 2.5 hours
s = 0.25 hours
We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as
P(2 lesser than or equal to x lesser than or equal to 3)
For x = 2,
z = (2 - 2.5)/0.25 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 3,
z = (3 - 2.5)/0.25 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
P(2 lesser than or equal to x lesser than or equal to 3)
= 0.97725 - 0.02275 = 0.9545
![\sqrt{9} +\sqrt{4}=5\\ \\\sqrt[3]{64}+\sqrt[3]{125}=9](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D%20%2B%5Csqrt%7B4%7D%3D5%5C%5C%20%5C%5C%5Csqrt%5B3%5D%7B64%7D%2B%5Csqrt%5B3%5D%7B125%7D%3D9)
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