Let:
Vj = Speed of jane
Vm = Speed of mike
d = distance
t = time
Jane travels 7 mph less than 2 times as fast as Mike, therefore:
Vj = 2Vm - 7
Remeber:
distance = speed*time
Distance traveled by mike:
d=Vm*t = Vm*6
Distance traveled by jane:
d + 198 = Vj*6
where:
Vj = 2Vm - 7
d + 198 = (2Vm-7)*6
Now, let:
d=Vm*6 (1)
d + 198 = (2Vm-7)*6 (2)
Replace (1) into (2)
6Vm + 198 = 12Vm - 42
Subtract 6Vm from both sides:
6Vm + 198 - 6Vm = 12Vm - 42 - 6Vm
198 = 6Vm - 42
Add 42 to both sides:
198 + 42 = 6Vm - 42 + 42
240 = 6Vm
Divide both sides by 6:
240/6 = 6Vm/6
40 = Vm
Vm = 40mph
Replace Vm into this equation Vj = 2Vm - 7 :
Vj = 2(40) - 7 = 80 - 7 = 73mph
Please include the instructions when you post a question. Thanks.
Use the formula A = P*e^(rt).
Here, A = $700*e^(0.065*t), where t is the # of years (which you have not yet included in your post).
As an example: After 2 years you'll have A = $700*e^(0.065*2), or A=$797.18, in your account.
Answer:
The <em>p-</em>value of the test is 0.106.
The null hypothesis will be accepted at 5% level of significance.
Step-by-step explanation:
The hypothesis test is left-tailed.
The test statistic value is: <em>z</em> = -1.25.
The significance level of the test is: <em>α</em> = 0.05.
The <em>p</em>-value of a left-tailed hypothesis test is:
The <em>p-</em>value of the test is 0.106.
**Use the <em>z-</em>table for the probability.
<u>Decision rule:</u>
If the <em>p</em>-value is less than the significance level the null hypothesis will be rejected and if it is more than the significance level the null hypothesis will be accepted.
The <em>p</em>-value = 0.106 > <em>α</em> = 0.05.
The null hypothesis will be accepted at 5% level of significance.
Answer: 180 degrees
Step-by-step explanation:
The measure of the arc of a semicircle is 180 degrees.
Answer:
3.706 liters
Step-by-step explanation:
Hello
assuming that these measures correspond to the internal measures of the thermos,
we can calculate the volume as, the volume of a cylinder, which is given by
where r is the radius of the base, and h the height
also
Diameter=2r
r=Diameter/2
Step 1
let
h=8 in
base = diameter = 6 inch
r=diameter/2
r=6/2 inch,r=3 inch
Step 2
Put the values into the equation
Step 3
Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing
1 inch = 2.54 cm
1 litro = 1000 cubic centimeters
1 cubic inch = 16.3870 cubic centimeters
Step 4
Finally, convert cubic centimeters into liters
I can put 3.706 liters in the thermos
Have a good day
