100 kilometers you solve with a proportion 2/20=10/x
2x=200 so x=100
Answer: x = 40
Step-by-step explanation:
these two angles are vertical angles, they will equal each other
therefore, move numbers and variables to the opposite sides of the = sign to isolate the X
3x-10 = 2x + 30
+10 +10 move the -10 by doing opposite
_____________
3x = 2x + 40
-2x -2x move -2x by doing opposite
____________
x = 40
you can check your work by substituting 40 in place of x
3(40) - 10 = 2(40) +30
120-10 = 80 + 30
110 = 110
answer is correct
Complete Question
The complete is shown on the first uploaded image
Answer:
The correct option are option 2 and option 4
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The test statistics is 
The level of significance is 
The rejection region is t>1.796
The null hypothesis 
The alternative hypothesis is 
From the given values we see that t < 1.796(i.e 1.434 < 1.796 ) which implies that t is not within the rejection region
Hence we fail to reject the null hypothesis
The conclusion is that there is insufficient evidence to suggest that that the husbands are significantly older than the wife.
Answer:
The selling price of the house is $144,681
Step-by-step explanation:
The computation of the selling price of the house is shown below:
Let us assume the selling price be x
So, the commission would be 0.06x
Now the danny would received
= x - 0.06x
= 0.94x
And, the amount received is $136,000
So equate this value
Like this
0.94x = $136,000
x = 
= $144,681
Hence, the selling price of the house is $144,681
Split up the interval [2, 5] into

equally spaced subintervals, then consider the value of

at the right endpoint of each subinterval.
The length of the interval is

, so the length of each subinterval would be

. This means the first rectangle's height would be taken to be

when

, so that the height is

, and its base would have length

. So the area under

over the first subinterval is

.
Continuing in this fashion, the area under

over the

th subinterval is approximated by

, and so the Riemann approximation to the definite integral is

and its value is given exactly by taking

. So the answer is D (and the value of the integral is exactly 39).