There are 3 yellow, 4 blue, 3 green, and 2 red candies in a bag. Without looking, Brian reaches into the bag and pulls out one p
1 answer:
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➷ First, we need to figure out the total number of candies:
3 + 4 + 3 + 2 = 12
Keep this number in mind as it will be the denominator
There are 3 yellow candies so the probability would be:
or
➶Hope This Helps You!
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Answer:
43.75 ft²
Step-by-step explanation:
= (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
<em /><em> </em>= (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
<em>Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.</em>
<em /> = 2(3.5√(3.5/2)² + 6²)
<em>Step 2: Divide 3.5 by 2 to get 1.75.</em>
<em /><em> </em>= 2(3.5√1.75² + 6²)
<em>Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.</em>
= 2(3.5√3.0625 + 36)
<em>Step 4: Add 3.0625 and 36 to get 39.0625.</em>
<em /> = 2(3.5√39.0625)
<em>Step 5: The square root of 39.0625 is 6.25.</em>
<em /><em> </em>= 2(3.5 * 6.25)
<em>Step 6: Multiply 3.5 by 6.25 to get 21.875.</em>
<em /> = 2(21.875)
<em>Step 7: Multiply 2 by 21.875 to get 43.75.</em>
<em /> = 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
<em />
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Answer:
60 students
Step-by-step explanation:
The confidence interval of a proportion is given by:
Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.
If the confidence interval is from 0.584 to 0.816, then:
60 students were in the sample.
Answer:
The weight of an adult male who is 172 cm tall is 89.36 kg.
Step-by-step explanation:
The regression equation representing the relationship between height and weight of a person is:
Here
<em>y</em> = weight of a person
<em>x</em> = height of a person
The information provided is:
The hypothesis to test the significance of the correlation between height and weight is:
<em>H₀</em>: There is no relationship between the height and weight, i.e. <em>ρ</em> = 0.
<em>Hₐ</em>: There is a relationship between the height and weight, i.e. <em>ρ </em>≠ 0.
Decision rule:
If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.
According to information provided:
<em>p</em>-value = 0.023 < <em>α</em> = 0.05
The null hypothesis was rejected at 5% level of significance.
Thus, concluding that there is a relationship between the height and weight.
Compute the weight of an adult male with height, <em>x</em> = 172 cm as follows:
Thus, the weight of an adult male who is 172 cm tall is 89.36 kg.