Answer:
x-intercepts = (x ≈ -0.87), (x ≈ 6.87)
Step-by-step explanation:
let x = 0, in equation for x-intercepts
solve for x using the
quadratic formula
x = <u>−6 ± √ 36 + 24 </u>
2x
= <u>−6 ± √60</u>
−2x
= <u>−6 ± 2 √ 15</u>
−2 = 3 ± √15
If the ratios are 2:12:16 the equation that should be used is 2x + 12x + 16x = 180.
First solve for x:
2x + 12x + 16x = 180
30x = 180
x = 6
Then plug x back in to find the degrees for each angle:
2x = 2(6) = 12
12x = 12(6) = 72
16x = 16(6) = 96
These are the degrees for each triangle: 12 degrees, 72 degrees, and 96 degrees which adds up to 180 degrees in total.
The equation, also at the top, is 2x + 12x + 16x = 180.
Answer:
y = 2.5 + 4.75, every additional rose sold , x, increases the cost of the rose, y, by 2.50
Step-by-step explanation:
Answer:
angle LXZ is 121°
Step-by-step explanation:
Since the sum of same side interior angles equals 180 you just subtract the angle you're given from 180 (180°-59°=121°)
By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.
Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.
This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.
First we have to find the value of α which can be calculated as under:
α=(1-0.99)/2=0.005
p=1-0.005=0.995
corresponding z value will be 2.575 for p=0.995 .
Margin of error=z*x/d
where x is mean and d is standard deviation.
M=2.575*2.2/
=0.14
So the lower value will be x-M
=8.8-0.14
=8.66
=8.67 ( after rounding)
The upper value will be x+M
=8.8+0.14
=8.94
Hence the confidence interval will be 8.67 toys and 8.94 toys.
Learn more about z test at brainly.com/question/14453510
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