Answer:
44%
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the values are is important(0123 is a different password of 3210), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
Desired outcomes:
One number, from a set of 10
Three characters, from a set of 26.
They can be in 4 possible orders(CNNN, NCNN, NNCN, NNNC). So
Total outcomes:
Four characters, from a set of 26 + 10 = 36. So
What is the approximate probability that exactly one of the four characters will be a number?
So 44%.
Answer: 16m²
Step-by-step explanation:
A large rectangle has side lengths of 8 meters and 6 meters. This means that the area of the large rectangle will be:
= 8m × 6m
= 48m²
A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. Then, the area of the smaller rectangle will be:
= 4m × 2m
= 8m²
Since the smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle whose length is 8, meters and 6 meters, the remaining part of the rectangle will have length of (8m - 4m) = 4m and (6m - 2m) = 4m.
Area of the remaining part of the large rectangle will be:
= 4m × 4m
= 16m²
The area of the figure in the task content is; 14.28in².
<h3>What is the area of the figure in the task content?</h3>
The area of the figure in the task content can be evaluated as the area of the semicircle and the rectangle.
Hence, the area of the semicircle is; (3.14/2) × (4/2)² = 6.28in².
The area of the rectangle can be evaluated as; 2 × 4 = 8in².
Hence, the area of the entire figure is; 8+ 6.28 = 14.28in².
Read more on area of a semicircle;
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9514 1404 393
Answer:
- cos(x) = a/c
- sin(x) = b/c
- tan(x) = b/a
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...
Sin = Opposite/Hypotenuse ⇒ sin(x) = b/c
Cos = Adjacent/Hypotenuse ⇒ cos(x) = a/c
Tan = Opposite/Adjacent ⇒ tan(x) = b/a
Answer: " 15 % " .
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→ " 12 is <u> 15% </u> of 80 " .
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Step-by-step explanation:
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12 = (n/100) * 80 ;
12 = (80n) /100 ; Solve for "n:
Note: 80/100 = (80/10) / (100/10) = (8/10) = 0.8 ;
12 = (0.8)n ;
↔ (0.8n) = 12
Multiply each side of the equation by "10" ; to get rid of the "decimal" ;
10 * (0.8n) = 10 * 12 ;
to get:
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8n = 120 ;
Divide each side of the equation by "8" ;
to isolate "n" on ONE SIDE of the equation; & to solve for "n" ;
8n/8 = 120/ 8 ;
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to get:
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n = 15 .
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Answer: " 15 % " .
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→ " 12 is <u> 15% </u> of 80 " .
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Hope this helps!
Best wishes!
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