A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back i
1 answer:
The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
<h3>What is relative frequency?</h3>The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.
Given information-
The card is selected random from the deck of cards.
Total number of trails is 40.
It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.
As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,
In the percentage from,
Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
Learn more about the relative frequency here;
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The value of is
Explanation:
The function is given by
The function is given by
To determine the value of , let us first substitute the value of
.
Thus, we get,
Now, substituting for in the function
, we get,
Simplifying, the expression, we get,
Multiplying the term within the bracket, we have,
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Hence, the value of represents the total amount of money that Barrett earns for working x hours.
Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is <u>less than the standard significance level of 0.05</u>, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
At the null hypothesis, it is <u>tested if the consumption is not different</u>, that is, if the subtraction of the means is 0, hence:
At the alternative hypothesis, it is <u>tested if the consumption is different</u>, that is, if the subtraction of the means is not 0, hence:
Two groups of 22 patients, hence, the standard errors are:
The distribution of the differences is has:
The test statistic is given by:
In which is the value tested at the null hypothesis.
Hence:
The p-value of the test is found using a <u>two-tailed test</u>, as we are testing if the mean is different of a value, with <u>t = 2.2438</u> and 22 + 22 - 2 = <u>42 df.</u>
- Using a t-distribution calculator, this p-value is of 0.0302.
Since the p-value of the test is of 0.0302, which is <u>less than the standard significance level of 0.05</u>, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
A similar problem is given at brainly.com/question/25600813
The ladder is forming a right triangle with the house. In this right triangle the hypotenuse is the measure of the ladder, and the distance between the house and he ladder is one of the sides of the triangle. To find the angle, 
, that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine.
We can conclude that the ladder make with the ground a 62° angle.
We can conclude that the ladder make with the ground a 62° angle.