Answer:
a = -3/2
Step-by-step explanation:
You can set x=0 and solve for y to find the y-intercept in each case.
first equation: y-intercept = -3/2
second equation: y-intercept = a
To make these equal, we must have ...
a = -3/2
Sum of 8 and a number is 5 less than 70
1 answer:
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Answer: 0.8461
Step-by-step explanation:
Given :
Let x be the random variable that represents the cost for the hospital emergency room visit.
We assume that cost for the hospital emergency room visit is normally distributed .
z-score for x=1000 ,
Using z-value table , we have
P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642
=0.8461358≈0.8461 [Rounded nearest 4 decimal places]
Hence, the probability that the cost will be more than $1000 = 0.8461
Hi there!
The formula to find the are of a circle is :
a = r²
The formula to find the circumference of a circle is :
c = 2r
In order to use the area formula, you need to figure out what the radius (r) is.
If we solve for "r" in the circumference equation, we have :
r = c ÷ (2)
Now we use this to replace "r" in the area formula :
a = ( c ÷ (2
))²
When we simplify this we get :
a = c² ÷ 4
Now you can put your value of "c" into this equation and find "a".
*Remember, is about 3.1416.
Solving for "a" :
a = c² ÷ 4
a = 28² ÷ 4
28² = 28 × 28 = 784
a = 784 ÷ 4
4 = 4 ×
= 12.56637061435917
a = 784 ÷ 12.56637061435917
a = 62.38873769202297cm²
You need to round to the nearest square centimeter, which means that you need to round to the nearest whole number :
a = 62cm²
There you go! I really hope this helped, if there's anything just let me know! :)