Answer:
3
Step-by-step explanation:
ac=0+0 which is 0 so 0 is 0
Function is
.
<u>Step-by-step explanation:</u>
We have a function notation for the transformation that would change f(x) to have a vertical compression by a factor of
, reflection over the x axis, up 6 and right 2.
<u>Step 1:</u>
Vertical compression by a factor
, this means decreasing value of function by a factor of
. Function becomes
.
<u>Step 2:</u>
Reflection over x-axis means rotating f(x) by 180° over origin . Function now is
.
<u>Step 3:</u>
Up 6 , means value of function is increased by 6 , Function now is
.
<u>Step 4:</u>
Right 2, means shifting function to 2 units on right side i,e, on x-axis.
∴Function finally becomes,
which is
.
Given:
value of the test statistic is t20 = 1.95
corresponding p-value of 0.0653 at the 5% significance level
No, I can't conclude that the correlation coefficient differs from zero because the p-value, which is 0.0653 exceeds 0.05.
The correlation coefficient differs from zero when the p-value is less than 0.05.
Total Number of cards = 4 + 6 = 10
Number of Football cards = 4
Number of Basketball cards = 6
Probability of choosing a football card = 4/10 = 0.4
Since this card is replaced, the total number of cards will remain the same.
Probability of selecting a basketball card = 6/10 = 0.6
Since, the two events are independent, the probability of selecting a football and a basketball card will be the product of two probabilities we calculated.
Thus, probability of selecting a football card and then a basketball card = 0.4 x 0.6 = 0.24
Answer:
- The equation that represent the cost C of renting a car and driving x miles is C = $39.11 + $0.50x
- $130 can travel 181.32 miles
Step-by-step explanation:
From the question, a rental company rents a luxury car at a daily rate of 39.34 $ plus $.50 per mile, that is
$0.50 is added to the initial $39.34 for every mile.
The equation that represent the cost C of renting a car and driving x miles is
C = $39.34 + $0.50x
Now, to determine how many miles 130$ can travel,
we will put C = $100, and determine x in the above equation
$130 = $39.34 + $0.50x
$130 - $39.34 = $0.50x
$90.66 = $0.50x
x = $90.66/$0.50
x = 181.32
Hence, $130 can travel 181.32 miles