Answer: 14. x = 16; y = 23
15. x = 9; y = 13
Step-by-step explanation:
14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)
4x + 4 = 7x - 44
Collect like terms
4x - 7x = -4 - 44
-3x = -48
Divide both sides by -3
x = -48/-3
x = 16
39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)
39 + 8y - 43 = 180
Add like terms
-4 + 8y = 180
Add 4 to both sides
8y = 180 + 4
8y = 184
Divide both sides by 8
y = 184/8
y = 23
15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)
15x - 26 = 12x + 1
Collect like terms
15x - 12x = 26 + 1
3x = 27
Divide both sides by 3
x = 27/3
x = 9
28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)
Plug in the value of x
28 + 12(9) + 1 + 4y - 9 = 180
28 + 108 + 1 + 4y - 9 = 180
Add like terms
128 + 4y = 180
Subtract 128 from each side of the equation
4y = 180 - 128
4y = 52
Divide both sides by 4
y = 52/4
y = 13
Both answer and explantion.
Answer:
Confidence interval is 128±2.326 days (between 125.674 days and 130.326 days) in 90% confidence level
Step-by-step explanation:
Confidence interval can be calculated as M±ME where
- M is the average pregnancy days of smoking women and
- ME is the margin of error in 90% confidence level.
Margin of Error in 90% confidence level can be calculated using the formula:
ME=
where
- z is the z-value in 90% confidence level (1.645)
- s is the standard deviation of pregnancy length (16)
- N is the sample size (128)
putting these numbers in the formula, we get:
ME=
=2.326
then confidence interval is 128±2.326 ( between 125.674 and 130.326 ) in 90% confidence level
Answer:
I don't know.............................
Answer:
Rectangular prism
Step-by-step explanation:
The solid that has six faces, four lateral faces, two bases, eight vertices, and 12 edges is the <em>rectangular</em><em> </em><em>prism</em>
<em>SINCE</em><em> </em><em>IT'S</em><em> </em><em>CORRECT</em><em>,</em><em> </em><em>PLEASE</em><em> </em><em>DO MARK</em><em> </em><em>ME AS</em><em> </em><em>BRAINLIEST UWU</em><em> </em>
Answer:
x=100000000000000000000000
Step-by-step explanation:
