Answer:
x = 9
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle, then
the segment is half the length of the 3rd side , that is
3x = 0.5 × 54 = 27 ( divide both sides by 3 )
x = 9
Answer:
B: 5/18 miles per hour
Step-by-step explanation:
1. multiply the fractions by the reciprocal
2/9 × 4/5 = 10/36
2. Divide answer by common multiple which is 2
10/36 ÷ 2 = 5/18
5/18 miles per hour is the snakes speed
Answer:
a)

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.
b)

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.
c)

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.
d)

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.
Step-by-step explanation:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The z-score measures how many standard deviations a measure X is above or below the mean.
In this problem, we have that:

a. 340 wpm



Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.
b. 475 wpm



Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.
c. 420wpm



Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.
d. 610wpm



Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.
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
For this case we have the following equation:
f (x) = x ^ 2 + bx-49
Deriving we have:
f '(x) = 2x + b
We match zero:
0 = 2x + b
We clear x:
x = -b / 2
The axis of symmetry is at x = 8, therefore:
x = -b / 2 = 8
Clearing b:
b = -2 * (8)
b = -16
Answer:
the value of b is:
b = -16