The probability will be found as follows:
z-score is given by:
z=(x-μ)/σ
where:
mean-μ=9.3
standard deviation-σ=1.1
but
σ/√n=1.1/√70=0.1315
thus the z-score will be:
z=(9.1-9.3)/0.1315
z=-1.5209
thus:
P(x<9.1)=P(z<-1.5209)=0.0643
Answer:
The answer is 75 degrees.
Step-by-step explanation:
The explanation is that the the supplementary angle to 80 is 100 since a straight line has an angle of 180, now the 100 degree angle is congruent to the angle x + 25 which means that x + 25 is equal to 100 so x is 75
Answer:
A=5, B=3y
Step-by-step explanation:
Please see attached picture for full solution
Answer:
Vertex (-2.5,-300)
Step-by-step explanation:
We are given with h(t)=-16 t^2 +80 t. We are asked to find the vertex.
X-coordinate of vertex =
Where 'a' is coefficient of
term
'b' is coefficient of 't' term.
From given function, a= -16
b=80
So,
x-coordinate of vertex =
=-2.5
y-coordinate of vertex =
Simplify it,
=-100 -200
= -300
So, vertex is at (-2.5, -300).
6
Answer: The worm slithers 48 inches in an hour. The snail slithers 52 inches in an hour.
If we start by making both the races into equations we get 5w+4s=448 inch and 2w+3s=252 inch. If we then add both the equations together we get 7w+7s=700 inch. Then we divide it all to get 1w+1s=100 inch. Then we can subtract the second race from the first to get 3w+1s=196 inch. We now know that 2w=96 inch, and can therefor divide whit 2 to find out w=48. We can then figure out how fast the snail is moving by multiplying 48 whit w and dividing the answer by s.
7
A 3 scoops $1.28 2 scoops $.87 1.28-.87= 41 .87-.41-.41= 06. A cone costs $.06 and one scoop ice cream costs $.41
B. .06+.41•4=$1.70
8
A. Delivery is $20. One cord is $120.
B. 1 1/2 cord costs $200. ($180 for the cords and $20 for the delivery)
9
Can’t see full question.