Answer:
Step-by-step explanation:
Calculate z-score firstly
z-score = (x-mean)/SD = (2.75-2.5)/0.25 = 0.25/0.25 = 1
P( x greater than or equal to 2.75) = P(z greater than or equal to 1)
= 1 - p(z <1)
P(z<1) from table = 0.84134
1-p(z<1) = 0.15866 or 15.866%
Answer:
case a)
----> open up
case b)
----> open down
case c)
----> open left
case d)
----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have

so


so

therefore
The parabola open up
case b) we have

so



therefore
The parabola open down
case c) we have

so



therefore
The parabola open to the left
case d) we have

so



therefore
The parabola open to the right
Answer:
Arc length is 12436.8m
Step-by-step explanation:
arc length =
* πD
where M is the angle measure of the arc
and D is the diameter
considering the earth as a circle and half the earth as a semi circle the angle measure of the arc will be = 180 degrees
* π * 7917.5 = 12436.8m
Area= pi x r^2
hence,
pi x r^2 = 36 x pi
=> r^2=36
=>r= root over 36 = 6
in short...the radius is 6
The expression of the decimal number 65.8246 in word form is; tens + 5 ones + 8 tenths + 2 hundredths + 4 thousandths
<h3>How to express decimal numbers?</h3>
A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.
Now, we are given the decimal number 65.824 to write in words. This can be written as;
6 tens + 5 ones + 8 tenths + 2 hundredths + 4 thousandths
The reason for the above is that we can rewrite the given decimal in fraction form as;
60 + 5 + 8/10 + 2/100 + 4/1000
Read more about decimal expressions at; brainly.com/question/20053870
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