Answer:
The correct answer is 17 kilometers.
Step-by-step explanation:
Let A denote the point where the airport is located.
Newberg is located 8 kilometers due north of airport say at point B.
Summer field is located 15 kilometers due east of the airport say at point C.
Thus ABC is the required right angled triangle with sides AB = 8; AC = 15; and ∠A = 90°.
Thus we use Pythagoras theorem to find the value of the side BC which indeed would give us the distance between Newberg and Summer field.
∴ = = = 17 kilometers.
Thus the distance between Newberg and Summer field is 17 Kilometers.
<h2>you were not him in a relationship that link was with a 1 minute</h2>
Answer:
1. Slope: -3/4
2. Point-slope: y+4=-3/4(x+4)
3. Slope-intercept: y=-3/4x-7
4. Standard form: 3x+4y=-28
Step-by-step explanation:
1. To find the slope, use the slope formula, which is: y2-y1/x2-x1.
Plug the y-coordinates into the top part of the equation and the x-coordinates into the bottom part.
2--4/-4-4
2+4/-8 = 6/-8, or 3/-4
2. Use the slope and one of the x and y coordinates to put the equation into point-slope form. Recall that point-slope form is: y-y1=m(x-x1). Let's use the coordinates (4,-4).
y+4=-3/4(x+4)
3. To put the point-slope equation into slope-intercept form (y=mx+b), you need to distribute -3/4 to x+4 and subtract 4 from both sides.
When you distribute, the equation becomes:
y+4=-3/4x-3
Finally, when you subtract 4, the equation becomes:
y=-3/4x-7
4. Standard form is written as x+y= #.
To convert y=mx+b to standard form, first subtract -3/4x from both sides.
-3/4x + y = -7
Multiply everything by 4
3x + 4y = -28
Answer:
For a circle of radius R, the area is written as:
A = pi*R^2
Where pi = 3.14
Then if the radius of the circle is R = 4*x^3
The area of this circle will be:
A = 3.14*(4*x^3)^2 = 3.14*(4)^2*(x^3)^2
Here you need to remember that:
(a^n)^m = a^(n*m)
Then the area of the circle is:
A = 3.14*(16)*(x^(3*2) = 3.14*16*x^6 = 50.24*x^6
So the monomial that represents the number of square units in the area of the circle is:
A(x) = 50.24*x^6
<h2>
Answer with explanation:</h2>
Let be the average starting salary ( in dollars).
As per given , we have
Since is left-tailed , so our test is a left-tailed test.
WE assume that the starting salary follows normal distribution .
Since population standard deviation is unknown and sample size is small so we use t-test.
Test statistic : , where n= sample size , = sample mean , s = sample standard deviation.
Here , n= 15 , , s= 225
Then,
Degree of freedom = n-1=14
The critical t-value for significance level α = 0.01 and degree of freedom 14 is 2.62.
Decision : Since the absolute calculated t-value (2.07) is less than the critical t-value., so we cannot reject the null hypothesis.
Conclusion : We do not have sufficient evidence at 1 % level of significance to support the claim that the average starting salary of the graduates is significantly less that $42,000.