Answer:
The y-intercept for line MN is 2
The standard form of the equation is revealed as ⇒ x + y = 2
Step-by-step elucidation:
Coordinates marking the ends of line MN → M(-3, 5) and N(2, 0)
The slope of the line was computed as 
= 
= -1
For line MN which passes through (-3, 5) with a slope of -1, the equation formulated is given by
y - 5 = (-1)(x + 3)
This simplifies to
y - 5 = -x - 3
Thus resulting in
y = -x + 2
Here the equation appears in the y-intercept form of
y = mx + b
where m represents the slope of the line and b denotes the y-intercept
So, consequently, the y-intercept for line MN is 2
The equation generates in the standard form as
x + y = 2
[[TAG_59]][[TAG_60]][[TAG_61]]
Answer:
The correct answer is;
A. 0.17
Step-by-step explanation:
Here are the provided details;
The average time taken for a cashier to handle an order, μ = 276 seconds
The deviation from the average, σ = 38 seconds
The z-score for an order processing time of x = 240 seconds can be calculated as follows;
Thus;
The resulting probability
P(z = -0.9474) = 0.17361
Hence, the estimated proportion of orders processed in under 240 seconds is roughly 0.17361 or 0.17 when rounded to two decimal places.
Let the events be defined as follows:
A=Nathan suffers from an allergy
~A=Nathan does not suffer from an allergy
T=Nathan receives a positive test result
~T=Nathan does not receive a positive test result
According to the provided data,
P(A)=0.75 [ probability indicating that Nathan is allergic ]
P(T|A)=0.98 [ probability of obtaining a positive test result if Nathan is allergic to Penicillin]
We aim to calculate the probability that Nathan is both allergic and tests positive
P(T n A)
Using the definition of conditional probability,
P(T|A)=P(T n A)/P(A)
By substituting the known values,
0.98 = P(T n A) / 0.75
We then solve for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Hope this assists you!!
5.7 square feet is equivalent to 0.53 square meters
0.53 divided by 0.75 results in 0.71
the smallest height satisfying the requirement is a)0.71
