A restaurant interest survey of 230 citizens in a town showed that 80 want a new Chili's, 120 want a new Red Lobster, and 20 want both. Determine the probability that:
...
Answers
Answer:
2/23
6/23
5/23
Step-by-step explanation:
60 only want chilis
20 wants both
100 only want red lobster
50 want neither
The right solution to the given question is "[tex]\frac{2}{23}[/tex]", "[tex]\frac{6}{23}[/tex]" and "[tex]\frac{5}{23}[/tex]".
According to the question,
[tex]a+b+c+d = 230[/tex][tex]b = 20[/tex][tex]a+b = 80[/tex]By putting the value of "b", we get
[tex]a+20=80[/tex][tex]a = 80-20[/tex]
[tex]a = 60[/tex]
[tex]b + c=120[/tex]By putting the value of "b", we get
[tex]20+c=120[/tex]
[tex]c = 120-20[/tex]
[tex]c = 100[/tex]
[tex]d = 230-60-100-20[/tex]By putting the values of "a", "b", "c" and "d", we get
[tex]d = 50[/tex]
(a)
P(both Chili's and Red lobster),
= [tex]\frac{b}{a+b+c+d}[/tex]
= [tex]\frac{2}{23}[/tex]
(b)
P(only chili's),
= [tex]\frac{a}{a+b+c+d}[/tex]
= [tex]\frac{6}{23}[/tex]
(c)
P(neither),
= [tex]\frac{d}{a+b+c+d}[/tex]
= [tex]\frac{5}{23}[/tex]
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
What is the expression in factored form?
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Explanation : First, look for the common factor; use the sum-product pattern, then for the common factor from the two pairs, lastly, rewrite in factored form.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
≈ 92.821 m
Step-by-step explanation:
For a geometric series with initial value a and rate r, the sum after n terms can be represented by
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Here, we know a = 10 (the first swing), r = 9/10 because the second swing was 9/10 of the first swing, meaning we multiply the first swing by 9/10 to get the second swing, and n = 25. Plugging these values in, we get
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
The area of a triangle is equal to half the product of its length (L) because of its height (h).
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Answers
Answer:
x = 50
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Step-by-step explanation:
The marked sides show you that the triangle is isosceles. That means the base angles, y° and 65°, are congruent.
y = 65
__
The sum of the angles in a triangle is 180°.
65° +65° +x° = 180°
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x = 50
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Answers
Answer:
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When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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A restaurant has two sizes of milkshakes, small and regular. The ratio of small milkshakes purchased to regular milkshakes purchased is 14 to 6. What percent of milkshakes purchased are small?
Answers
Answer:
70%
Step-by-step explanation:
the ratio is 14 to 6 so if you have 14 small milkshakes you would also have 6 regular milkshakes
to find a percentage we can buff up the ratio to add up to 100
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Question 4
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Your Answer:
Answers
Answer:
-1536
Step-by-step explanation:
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urwelcome
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Answers
The probability of obtaining at least three tails is; 5/16
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Now, various ways of getting at least three tails are;
TTTH, TTHT, THTT, HTTT, and TTTT.
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Read more about probability when a coin is tossed at; https://brainly.com/question/1334780
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Answers
[tex] \: \: \: \: \: \: [/tex]
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Answers
Answer:
A
Step-by-step explanation:
the domain is all the possible numbers that the x can be, so to find this from the graph you find the x-value of the leftmost point, which is -1 in this case, and the x-value of the rightmost point, which is 3. this means the range of values would be -1 <= x <= 3
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Answers
Answer:
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Step-by-step explanation:
Liam cuts a 48-inch piece of string into two pieces. One piece is 12 inches longer than the other. If s represents the length of the shorter string, which diagram best represents this scenario?
Answers
The length of the shorter string is 18 inch while that of the longer string is 30 inch.
An equation is an expression used to show the relationship between two or more variables and numbers.
Let s represent the length of the shorter string.
One piece is 12 inches longer than the other
Length of longer string = s + 12
Since a 48-inch piece of string is cut into two pieces. Hence:
s + (s + 12) = 48
2s + 12 = 48
2s = 36
s = 18
Length of longer string = 18 + 12 = 30
The length of the shorter string is 18 inch while that of the longer string is 30 inch.
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The score on a test are normally distributed with a Mean of 140 and a standard deviation of 28 find the score of that is one and a half standard deviation 140 standard deviation 28 score is one and a half standard deviation
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The score that is one and a half standard deviation is 182.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
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Given that:
μ = 140, σ = 28. For a z score of 1.5(one and a half):
[tex]1.5=\frac{x-140}{28} \\\\x-140=42\\\\x = 182[/tex]
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Answers
Answer:
-2.5
Step-by-step explanation:
5(x+2) = 3x+5
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Answer: -5/2
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Answer:
2
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Answer:
2
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Use the variable d to represent Diego's height.
Answers
Answer: The expression is 5d = 80. 80 ÷ 5 = 16. Therefore, the variable D is 16.
Mark breaks up a 9-hour drive into 3 parts. He drives 2 1/2 hours before stopping for lunch. After driving some more, he stops for gas. If the second part of his drive was 1 2/3 longer than the first part, how long did he drive after stopping for gas?
Answers
Answer:
4 1/6 hours
Step-by-step explanation:
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