Answer:
Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.
Step-by-step explanation:
Given that in a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams
H0: The two means are equal
Ha: The two means are not equal
(Two tailed test at 5% level)
Variable A Variable B
Mean 1080.00 1120.00
SD 75.00 100.00
SEM 13.26 16.01
N 32 39
95% CI: -82.65 to 2.65
Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.
Answer:
5 units
Step-by-step explanation:
An isosceles triangle is a triangle with two legs that have the same length. The perimeter of a triangle is the sum of the lengths of all sides of the triangle. Now taking this into account, we know that:
2L + B = 14 units
Where:
L is the measure of one leg
B is the measure of the base
Since two legs are the same and the base is 1 less, this means the measure of each leg would be:
B = L -1
Now we have two equations:
2L + B = 14 units
B = L- 1
We plug one equation into the other and make 1 equation:
2L + (L-1) = 14 units
Get rid of the parentheses:
2L + L - 1 = 14
Combine like terms:
3L - 1 = 14
Add 1 to both sides of the equation:
3L - 1 + 1 = 14 + 1
3L = 15
Divide both sides by 3:
3L/3 = 15/3
L = 5
So the length of a leg is 5 units
Let's check!
B = L - 1
B = 5 - 1
B = 4
Then we use that to solve for the perimeter:
2L + B
2(5) + 4
10 + 4 = 14
9514 1404 393
Answer:
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Step-by-step explanation:
Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.
__
Working from the top and from the given angles, ...
h = 60°
f = g = 180° -h = 120°
j = 124°
k = i = 180° -124° = 56°
a = 64°
b = d = 90°
c = e = 90° -64° = 26°
In summary, measures in degrees are ...
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Answer/Step-by-step explanation:
A series is events coming one after another but a sequence is in a certain order.
arithmetic is the difference between two constant terms while geometric is the ratio between two constant terms.
arithmetic: -
geometric: ÷
