Answer:
Barbara's speed in clear weather is and in the thunderstorm is .
Step-by-step explanation:
Let be the speed and be the time Barbara drives in clear weather, and let be the speed and be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1).
Also,
(2).
(3). ,
and
(4).
From equations (2) and (3) we get:
putting these in equation (4) we get:
and substituting for from equation (1) we get:
This equation can be rewritten as
which has solutions
We take the first solution because it gives a positive value for
.
Thus, Barbara's speed in clear weather is and in the thunderstorm is .
Answer:
65.827% of the apples have diameter between 3.5 and 4.3 inches.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.
So, to find the proportion of apples with diameter between 3.5 and 4.3 inches, we subtract the pvalue of the zscore of X = 4.3 by the pvalue of the zscore of X = 3.5.
The diameters of apples from a certain farm follow normal distribution with mean 4 inches and standard deviation 0.4 inch. So , .
For X = 4.3
Z = 0.75 has a pvalue of 0.77337
For X = 3.5
Z = -1.20 has a pvalue of 0.1151
Subtracting
65.827% of the apples have diameter between 3.5 and 4.3 inches.
Answer:
<h3>160</h3>
Step-by-step explanation:
Divide 7,200 by 45
The equation that does not assign one value to y is and the points that do not represent a function is (c)
<h3>The equation that does not assign one value to y</h3>
To do this, we simply make y the subject of formula.
So, we have:
Simplify
Subtract 5/y from both sides
Rewrite as:
This means that the value of x is 0 irrespective of the value of y
Hence, the equation that does not assign one value to y is
<h3>The points that do not represent a function</h3>
For a set of point to represent a function, the points must represent a one-to-one or many-to-one relationship.
From the list of options, option (3) represents a one-to-many relationship.
This is so because one x value has 3 y values
Hence, the points that do not represent a function is (c)
Read more about functions and relations at:
brainly.com/question/6904750
#SPJ1