Let
p="The tire is flat"
q="I will have to change it"
The statement in symbolic form is
p->q means if p is true, then q, or
<span>"If the tire is flat, then I will have to change it."
</span>
Answer:
The number is 4
Step-by-step explanation:
<u>Choose a variable for the number.</u>
let the number be "x"
<u>Make an equation</u> with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).
"When 8 is added to" 8 +
"3 times a certain number" 3x
"the result is the same as" =
"adding 12 to" 12 +
"twice the number" 2x
Put the equation back together with each of the parts.
8 + 3x = 12 + 2x
<u>Now isolate "x"</u> to the left side to find the number.
8 + 3x - 2x = 12 + 2x - 2x Subtract 2x from both sides
8 + x = 12 "x" is only on the left side
8 - 8 + x = 12 - 8 Subtract 8 from both sides
x = 4 Solved for the number
Therefore the number is 4.
Answer:
There is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 610
p = 23.8% = 0.238
Alpha, α = 0.01
Number of 18-24 year-old attending college , x = 178
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.0009
Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject the null hypothesis.
Conclusion:
Thus there is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%
Answer:

Step-by-step explanation:
We have to arrange the functions given in ascending order which have eventually the least value and eventually the greatest value.
So, we get the following table representing the values of the functions for different values of x.
x : 5 10 15
: 23 38 53
: 1027 1048579 1073741827
: 31 106 231
: 15 30 45
: 1024 1048576 1073741824
: 25 100 225
As, can be seen from the table that the ascending order of the functions is given by
.
Hence, the order is
.
The answer is b, fine the initial speed of the ball