Answer:
97
Step-by-step explanation:
We are asked to find the size of sample to be 95% confident that the error in psychologist estimate of mean reaction time will not exceed 0.01 seconds.
We will use following formula to solve our given problem.
, where,
,
,
.
Substitute given values:
Therefore, the sample size must be 97 in order to be 95% confident that the error in his estimate of mean reaction time will not exceed 0.01 seconds.
<span>A system of equations has infinitely many solutions when the two
lines representing the equations coincide. i.e. the two equations are
the same or a multiple of each other.
2y - 4x = 6
2y = 4x + 6
2y = 2(2x + 3)
y = 2x + 3
-y = -(2x + 3)
-y = -2x - 3
Hence the other equation is -y = -2x - 3</span>
Answer:
He paid $253.09 in interest.
Step-by-step explanation:
To find how much did he pay in interest, we use the simple intrest formula, that is given by:
In which I is the value paid in interest, P is the money borrowed, r is the yearly interest rate and t is the time.
In our problem, we have that:
He borrowed $4,400, so 
At 4.75% yearly. We measure the time in days, so we have to divide this value by 365. So 
.
From December 26, 2019 to February 21, 2021, there are 422 days, so 
.
He paid $253.09 in interest.
These are the events in the question above:
<span>D - has disease
</span>
<span>H - healthy (does not have disease)
</span>
<span>P - tests positive </span>
<span>It is the probability that a person has the disease AND tests positive divided by the probability that the person tests positive.
</span>
Sick, + [.04*.91] = .0364
<span>Sick, - [.04*.09] = .0036 </span>
Healthy, + [.96*.04] = 0.0384
<span>Healthy, - [.96*.96] = .9216
</span>
.0364 / (.0364 + .0.0384) = 0.487
To determine if these line segments are congruent you can find the distances between the x values and the y values for each set of points.
(-1, 10) and (-5, 2). 4 on x axis and 8 on the y axis.
(9, -7) and (1, -3). 8 on the x axis and 4 on the y-axis.
This means they are congruent. Each triangle would have the same two side lengths making the hypotenuse the same.
