Answer: 0.50477
Step-by-step explanation:
Given : The sugar content of the syrup is canned peaches is normally distributed.
We assume the can is designed to have standard deviation milligrams.
The sampling distribution of the sample variance is chi-square distribution.
Also,The data yields a sample standard deviation of milligrams.
Sample size : n= 10
Test statistic for chi-square :
i.e.
Now, P-value = [By using the chi-square distribution table for p-values.]
Hence, the chance of observing the sample standard deviation greater than 4.8 milligrams = 0.50477
Answer:
Step-by-step explanation:
Notice they both have the same slope of 3x so they are parallel, but different y intercepts. This means the lines never intersect and thus there are no solutions to the system of equations.
Answer:
Tan C = 3/4
Step-by-step explanation:
Given-
∠ A = 90°, sin C = 3 / 5
<u>METHOD - I</u>
<u><em>Sin² C + Cos² C = 1</em></u>
Cos² C = 1 - Sin² C
Cos² C =
Cos² C =
Cos² C =
Cos C =
Cos C =
As we know that
Tan C =
<em>Tan C = </em>
<em>Tan C = </em>
<u>METHOD - II</u>
Given Sin C =
therefore,
AB ( Height ) = 3; BC ( Hypotenuse) = 5
<em>∵ ΔABC is Right triangle.</em>
<em>∴ By Pythagorean Theorem-</em>
<em>AB² + AC² = BC²</em>
<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>
<em>AC² = 5² - 3²</em>
<em>AC² = 25 - 9</em>
<em>AC² = 16</em>
<em>AC ( Base) = 4</em>
<em>Since, </em>
<em>Tan C = </em>
<em>Tan C = </em>
<em>Hence Tan C = </em>
<em />
Answer:
1/3* (9x-6) = 2x+3
⇒ (1/3)(9x)- (1/3)*6 = 2x+3 (distributive property)
⇒ 3x - 2= 2x + 3
⇒ (3x-2x) -2 = (2x-2x) +3
⇒ x-2=3
⇒ x +(-2+2) = 3+2
⇒ x= 5.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
49.4 degrees
Step-by-step explanation:
In Triangle AXY,
We want to determine the angle of elevation from the point is standing to the top of the flagpole, which is the angle at V in the diagram.
In Triangle XVY
|VY|=36 feet
Therefore, the angle of elevation from the point is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.
I think i might of clicked on gthe wrong question sorry