Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
1 answer:
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Percent of red lights last between 2.5 and 3.5 minutes is 95.44% .
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that 2.5<X<3.5 is equal to the blue area under the curve.
Step 2:
Since μ=3 and σ=0.25 we have:
P ( 2.5 < X < 3.5 ) =P ( 2.5−3 < X−μ < 3.5−3 )
⇒ P ( (2.5−3)/0.25 < (X−μ)/σ < (3.5−3)/0.25)
Since, Z = (x−μ)/σ , (2.5−3)/0.25 = −2 and (3.5−3)/0.25 = 2 we have:
P ( 2.5<X<3.5 )=P ( −2<Z<2 )
Step 3: Use the standard normal table to conclude that:
P ( −2<Z<2 )=0.9544
Percent of red lights last between 2.5 and 3.5 minutes is % .
Answer:
Inequality is and value of x>10.
Step-by-step explanation:
Given : Adam is ordering pizza for a company party that he needs to have catered.
Company A charges $8 for each pizza and a delivery/set-up fee of $45. Company B charges $12 for each pizza and a delivery/set-up fee of $5.
To find : Which inequality can be used to find x, the least number of pizzas that can be ordered so that the total charge for Company A is less than the total charge for Company B?
Solution : Let x be the number of pizza
Company A charges $8 for each pizza and a delivery/set-up fee of $45.
Total charge of Company A is
Company B charges $12 for each pizza and a delivery/set-up fee of $5.
Total charge of Company B is
The total charge for Company A is less than the total charge for Company B
i.e, Inequality form
or x> 10
Therefore, Inequality is and value of x>10.