the answer: b=9 hope this helps!
The dimensions of the prism has height of 7 units, width of 10 units and length of 10 units.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
From the prism:
Perimeter P = 2(w + l)
40 = 2(w + l)
w + l = 20 (1)
Also:
Base area (B) = wl
100 = wl (2)
from equation 1 and 2:
w = 10, l = 10
The dimensions of the prism has height of 7 units, width of 10 units and length of 10 units.
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Answer: 48
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Define the number of cakes they baked in term of x
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Let the number of cakes Kay baked be x
Kay = x
Tim = 3x ← Tim baked 3 times as many as Kay
Griff = 1.5x ← Griff baked 1/2 as many as Tim
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Construct the equation and solve for x
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The total number of cakes baked was 88.
x + 3x + 1.5x = 88 ← Combine like terms
5.5 x = 88 ← Divide by 5.5
÷5.5 ÷5.5
x = 16
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Find the number of cakes each baked
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Kay = x = 16
TIm = 3x = 16 x 3 = 48
Griff = 1.5x = 1.5(16) = 24
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Answer: Tim baked 48 cakes.
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Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal.
Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus,
diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft
The shortest distance, rounded off to the nearest foot, is 117 ft<span>. </span>
The required probability is 0.171.
What is probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We can find required Probability as shown:
From 10 coins we choose 7 he guessed correct with probability of each 1/2. For three remaining coins he failed to predict the outcomes of the flip with the probability of 1/2 for each. Similarly for 8,9 or 10 successive trials. Let X denote number of successive trials
=0.171
Hence, the required probability is 0.171.
Learn more about Probability here:
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Given question is incomplete. This is complete question:
A man claims to have extrasensory perception. As a test, a fair coin is flipped 10 times and the man is asked to predict the outcome in advance. He gets 7 out of 10 correct. What is the probability that he would have done at least this well if he had no ESP?
