A bag contains 12 red, 30 blue, 20 green, 10 yellow, and 8 black marbles. Nancy chooses 1 marble from the bag. What is the proba
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<h3>Answers:</h3><h3>a. Vertices of triangle ABC are: A, B, C</h3><h3>b. Sides of triangle ABC are: AB, BC, AC</h3><h3>c. The side between angle A and angle C is: side AC</h3><h3>d. The angle between sides AB and CA is: angle A</h3><h3>e. Scalene triangle</h3>
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Explanations:
- a. Each uppercase letter represents a point or angle of the triangle.
- b. Connect two points of a triangle and you get a line segment. The order of the letters does not matter. So AB is the same as BA.
- c. Like with part b, connecting two angles or points forms a segment.
- d. Note how the letter "A" is in both AB and CA, so this is the shared angle between the two segments.
- e. Sides AB, BC, and AC are all different lengths, so we have a scalene triangle. If you had two sides equal to each other, then you'd have an isosceles triangle. If all three sides are equal, then it would be equilateral.
There is no need for a diagram, but if you want, you can draw one out. See the attached image below for the diagram. This diagram should hopefully answer any questions you may have about the explanations above. There are many ways to draw the triangle, so your diagram might look different from mine.
Answer:
We conclude that the sodium content is same as what the nutrition label states.
Step-by-step explanation:
We are given that the nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium.
The FDA randomly selects 40 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1088.64 milligrams of sodium per package with a sample standard deviation of 234.12 milligrams.
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<u><em>Let </em></u><u><em> = average sodium content.</em></u>
So, Null Hypothesis, :
= 1100 milligrams {means that the sodium content is same as what the nutrition label states}
Alternate Hypothesis, :
1100 milligrams {means that the sodium content is different from what the nutrition label states}
The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about population standard deviation;
T.S. = ~
where, = sample average sodium content = 1088.64 milligrams
s = sample standard deviation = 234.12 milligrams
n = sample of packages of Oriental Spice Sauce = 40
So, <u><em>test statistics</em></u> = ~
= -0.307
The value of z test statistics is -0.307.
<em>Since, in the question we are not given the level of significance so we assume it to be 5%. </em><em>Now, at 0.05 significance level the t table gives critical values of -2.0225 and 2.0225 at 39 degree of freedom for two-tailed test.</em><em> </em>
<em>Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><em><u>we fail to reject our null hypothesis</u></em><em>.</em>
Therefore, we conclude that the sodium content is same as what the nutrition label states.