Answer:
The value of y is 6
units ⇒ 2nd answer
Step-by-step explanation:
In the attached figure
∵ ∠MTN is a right angle
∵ TU is the altitude of the triangle
- There are some rules in this triangle let us revise them
- (NT)² = NU . NM
- (MT)² = MU . MN
- (TU)² = MU . NU
- TM . TN = TU . MN
∵ NU = 9 units
∵ UM = 3 units
∵ MN = UM + NU
∴ MN = 3 + 9 = 12 units
- By using the 1st rule above
∴ (NT)² = 9 × 12
∴ (NT)² = 108
- Take a square root to both sides
∴ NT = 
- Simplify the root
∴ NT = 6 units
∵ NT is y
∴ y = 6 units
The value of y is 6 units
The confidence interval would be (0.122, 0.278).
We first find our z-score. We want a 95% confidence interval:
0.95/2 = 0.475
Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.
The formula we will use is:
In this problem, p = 20/100 = 0.2, and n=100:
Answer:
14 minutes
Step-by-step explanation:
given,
given,
Betsy time taken to read one page = 1.5 minutes
Number of pages in the Betsy book = 116 pages
number of pages in Raymond Book = 94 pages
time taken by the Raymond to read = 11.38 - 8.30
= 3.08 hrs
time taken by Raymond = 188 minutes
time taken by Betsy to read book = 1.5 x 116
= 174 minutes
Raymond take more time than Betsy by = 188 - 174
= 14 minutes
Raymond take 14 minute more than Betsy
A graphing calculator shows the rocks are at the same height 1.5 seconds after they are released.
That height is 3.975 meters.
_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975
Opposite angles of an inscribed quadrilateral are supplementary, so it is true that ...
... B. m∠A + m∠C = m∠B + m∠D . . . . . = 180°
