Cards are selected from a standard deck of 52, the results are recorded in the table. what is the empirical probability of not s
1 answer:
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Answer:
- <u><em>The height of the missing rectangle is 0.15</em></u>
Explanation:
The image attached has the mentioned <em>histogram</em>.
Such histogram presents the relative frequencies for the clases [0,1], [1,2],[2,3], [4,5], and [5,6] Silver in ppm.
Only the rectangle for the class [3,4] is missing.
The height of each rectangle is the relative frequency of the corresponding class.
The relative frequencies must add 1, because each relative frequency is calculated dividing the absolute class frequency by the total number in the sample; hence, the sum of all the relative frequencies is equal to the total absolute class frequencies divided by the same number, yielding 1.
In consequence, you can sum all the known relative frequencies and subtract from 1 to get the missing relative frequency, which is the height of the missing rectangle.
<u>1. Sum of the known relative frequencies</u>:
- 0.2 + 0.3 + 0.15 + 0.1 + 0.1 = 0.85
<u>2. Missing frequency</u>:
- 1 - 0.85 = 0.15
<u>3. Conclusion</u>:
- The height of the missing rectangle is 0.15
Answer:
39.82
Step-by-step explanation:
to find the entire area of the figure, you'll have to split it up into two parts:
a. triangle
b. semi-circle
therefore, the formula for the area of a triangle is 1/2(base)(height). in simpler terms, it means to multiply 1/2 by the base and the height. in this case, multiply 1/2 x 5 x 12, which gives you 60/2, which ultimately gives you 30.
to find the area of the semi circle, use the area formula for a circle and divide the area by 2. the formula is: π. so, plug in your lengths. this gives you, π(5)^2. divide this by two. you should get an answer of 9.82
finally, add your two areas (30+9.82), which equals 39.82
hope this helps!<3
the equation is the horizontal line which parts through (-5,6), since it has no slope.