Parker family drove 120 miles on the first day
Step-by-step explanation:
Given:
Total miles driven on the road trip= 180 miles
solution:
Lets assume the distance drove on the first day is x
The total distance covered on the road trip is 180 miles. so,
Hence, x = 120.
The distance travelled on the first day is 120 miles.
Check the picture below.
is not very specific above, but sounds like it's asking for an equation for the trapezoid only, mind you, there are square tiles too.
but let's do the trapezoid area then,
![\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\](https://tex.z-dn.net/?f=%5Cbf%20a%5E%7B%5Cfrac%7B%7B%20n%7D%7D%7B%7B%20m%7D%7D%7D%20%5Cimplies%20%20%5Csqrt%5B%7B%20m%7D%5D%7Ba%5E%7B%20n%7D%7D%20%5Cqquad%20%5Cqquad%0A%5Csqrt%5B%7B%20m%7D%5D%7Ba%5E%7B%20n%7D%7D%5Cimplies%20a%5E%7B%5Cfrac%7B%7B%20n%7D%7D%7B%7B%20m%7D%7D%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C)
Answer:
a) P-value = 0.0968
b) P-value = 0.2207
c) P-value = 0.0239
d) P-value = 0.0040
e) P-value = 0.5636
Step-by-step explanation:
As the hypothesis are defined with a ">" sign, instead of an "≠", the test is right-tailed.
For this type of test, the P-value is defined as:
being z* the value for each test statistic.
The probability P is calculated from the standard normal distribution.
Then, we can calculate for each case:
(a) 1.30
(b) 0.77
(c) 1.98
(d) 2.65
(e) −0.16
Answer:
jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8
Step-by-step explanation:
From the graph we can see that there is a whole in the graph at x=-2.
This is referred to as a point discontinuity.
Similarly, there is point discontinuity at x=8.
We can see that both one sided limits at these points are equal but the function is not defined at these points.
At x=0, there is a jump discontinuity. Both one-sided limits exist but are not equal.
Answer: Daniel bought 3 apples and 7 bananas.
Step-by-step explanation:
Let x represent the number of apples that Daniel bought.
Let y represent the number of bananas that Daniel bought.
He bought a total of 10 apples and bananas altogether. This means that
x + y = 10
Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. This means that
1.75x + 0.7y = 10.15 - - - - - - - - - - - 1
Substituting x = 10 - y into equation 1, it becomes
1.75(10 - y) + 0.7y = 10.15
17.5 - 1.75y + 0.7y = 10.15
- 1.75y + 0.7y = 10.15 - 17.5
- 1.05y = - 7.35
y = - 7.35/- 1.05
y = 7
x = 10 - y = 10 - 7
x = 3
