Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)The tree diagram is attached.
P(Ben Fails)=1-0.8=0.2
P(Tom Fails)=1-0.7=0.3
(b)Probability that both will pass their driving test.
P(both will pass)=0.8 X 0.7 =0.56
(c)Probability that only one of them will pass their driving test.
P(Tom Bass, Ben Fails OR Ben Pass, Tom Fails)
=(0.7 X 0.2)+(0.8 X 0.3)
=0.14+0.24
=0.38
Answer:
We have to find the equation of least squares regression line in order to find the number of ice cream cones that the shopkeeper to sell if the temperature is 106 degrees. We can use excel regression data analysis tool to find the equation of the regression line. The excel output is attached here.
The equation of the least squares regression line is:
Now, if the temperature is 106 degrees, then the number of cones expected to be sold is given below:
Therefore, the number of ice cream cones that the shopkeeper would expect to sell if the temperature is 106 degrees is 585.
When a set of reflections that carry a shape onto itself, it means that the final position of the shape will be the same as its original location
Reflections <em>(a) y=x, x-axis, y=x, y-axis </em>would carry the hexagon onto itself
First; we test the given options, until we get the true option
<u>(a) y=x, x-axis, y=x, y-axis</u>
The rule of reflection y =x is:
The rule of reflection across the x-axis is:
So, we have:
The rule of reflection y =x is:
So, we have:
Lastly, the reflection across the y-axis is:
So, we have:
So, the overall transformation is:
Notice that, the original and final coordinates are the same.
This means that:
Reflections <em>(a) y=x, x-axis, y=x, y-axis </em>would carry the hexagon onto itself
Read more about reflections at: