Answer:
The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.
Step-by-step explanation:
The probability of a component passing the test is, P (S) = 0.79.
The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.
Three components are sampled.
Compute the probability of the test result as SFS as follows:
P (SFS) = P (S) × P (F) × P (S)
Compute the probability of the test result as SSF as follows:
P (SSF) = P (S) × P (S) × P (F)
Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.
Vertex form:
y-k=a(x-h)^2
h=-2,k=-20,y=-12 when x=0
thus;
-12+20=a(0+2)^2
8=4a
a=2
Equation:
y+20=2(x+2)^2
y+20=2(x^2+4x+4)
f(x)=2(x^2+4x+4)-20
f(x)=2x^2+8x+8-20
f(x)=2x^2+8x-20
Answer:
Step-by-step explanation:
<h3><u>TO SOLVE:</u></h3>
Isolate by the x on one side of the equation.
<h3><u>SOLUTIONS:</u></h3>
First, subtract 3x from both sides.
Solve.
Sides are NOT equal.
Therefore, there are no solutions.
<u>Part 1)</u> Use the fact that there are 12 inches in a foot
a) How many inches tall is a 7 foot basketball player?
we know that
1 foot=12 inches
so by proportion
therefore
<u>the answer Part 1a) is</u>
Part b) If a yard is a 3 feet long, how many inches are in a yard?
we know that
1 yard=3 feet
1 foot=12 inches
so
Convert 3 feet to inches
by proportion
therefore
<u>the answer Part 1b) is</u>
<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?
by proportion
therefore
<u>the answer Part 2) is</u>
<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.
Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?
we know that
<u>Find the cost of the bananas</u>
<u>Find the cost of the apples</u>
Sum the cost of the bananas and the cost of the apples
------> Janice's mother didn't give her enough money
She needs more money
She needs-------> 
therefore
<u>the answer part 3) is</u>
She needs 
more
The equation formula of the circle is (x-h)^2 + (y-k)^2 = r^2
where (h,k) the point of the center of the circle
and (r) is the radius of the circle
so if the center of the circle = (-2,-4)
by subs. in the formula we get (x-(-2))^2 + (y-(-4))^2 = r^2
then the equation will be (x+2)^2 + (y+4)^2 = r^2
now we want to define the radius of the circle r
since point (3,8) lay on the circle so we can
then subs. in the equation to get the radius
(x+2)^2 +(y+4)^2 = r^2
(3+2)^2 +(8+4)^2 = r^2
25 + 144 = r^2
r^2 = 169
r= 13
the radius of the circle is 13
so by subs in the equation we get
(x+2)^2 + (y+4)^2 = 169
so it is the first answer in the choices
