Answer:
The required number of plants is 10.
Step-by-step explanation:
Nursery P charges $15 per plant plus a $50 delivery fee on any order. Nursery Q charges $20 per plant and no delivery fee.
If x number of plants that must be delivered for the total cost to be the same at both nurseries, then
15x + 50 = 20x
⇒ 5x = 50
⇒ x = 10
Therefore, the required number of plants is 10. (Answer)
Answer:
Adam
Step-by-step explanation:
Speed is calculated with the formula distance over time.
Convert all measurements to the same unit: ft/s.
<u>Speed of Frank:</u>
d/t
=11/s
<u>Speed of Emily:</u>
d/t
=86/10
=8.6/s
<u>Speed of Adam: </u>
There are 5280 feet in a mile.
d/t
=5280/388
=13.6/s
<u>Speed of Noah:</u>
There are 60 seconds in a minute.
d/t
=600/60
=10/s
Adam runs the fastest because 13.6 > 11 > 10 > 8.6.
Answer:
the probability that all tomatoes are sold is 0.919 (91.9%)
Step-by-step explanation:
since the random variable X= number of tomatoes that are demanded, is normally distributed we can make the standard random variable Z such that:
Z=(X-μ)/σ = (83 - 125)/30 = -1.4
where μ= expected value of X= mean of X (since X is normally distributed) , σ=standard deviation of X
then all tomatoes are sold if the demand surpasses 83 tomatos , therefore
P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)
from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore
P(X>83) = 1- P(Z≤-1.4) = 1 - 0.081 = 0.919 (91.9%)
thus the probability that all tomatoes are sold is 0.919 (91.9%)
Answer:
y=-13x + 78 I'm not sure what's up with those answer choices though
