WILL GIVE BRAINLIEST 20 POINTS
2 answers:
Answer:
x = - 3
Step-by-step explanation:
Given the 2 equations
y = x + 7 → (1)
y = 3x + 15 → (2)
Since both equations express y in terms of x, equate the right sides
3x + 15 = x + 7
Subtract x from both sides
x + 15 = 7 ( subtract 15 from both sides )
x = - 8 ( multiply both sides by 3 )
8x = - 24 ( divide both sides by 8 )
x = - 3
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Answer:
The result after adding a set of numbers or is called a sum.
Step-by-step explanation:
Consider the provided information.
The four mathematical operations are:
The sign + is used to add numbers.
The sign - is used to subtract the numbers.
The sign × is used for the product of the numbers.
The sign ÷ is used for division of the numbers.
When we add two or more number by using the operator + the obtained number or value is called the sum of the numbers.
For example:
Consider the number: 2 + 5 if we add the number the resulting value will be 7.
The number 7 is the sum of 2 and 5.
Thus, the result after adding a set of numbers is called a sum.
Answer:
a) The Venn diagram is presented in the attached image to this answer.
b) 0.82
c) 0.16
Step-by-step explanation:
a) The Venn diagram is presented in the attached image to this answer.
n(U) = 100%
n(S) = 48%
n(B) = 66%
n(H) = 38%
n(S n B) = 30%
n(B n H) = 22%
n(S n H) = 28%
n(S n B n H) = 12%
The specific breakdowns for each subgroup is calculated on the Venn diagram attached.
b) The probability that a randomly selected student likes basketball or hockey.
P(B U H)
From the Venn diagram,
n(B U H) = n(S' n B n H') + n(S' n B n H) + n(S n B n H') + n(S n B n H) + n(S n B' n H) + n(S' n B' n H) = 26 + 10 + 18 + 12 + 16 + 0 = 82%
P(B U H) = 82/100 = 0.82
c) The probability that a randomly selected student does not like any of these sports.
P(S' n B' n H')
n(S' n B' n H') = n(U) - [n(S' n B n H') + n(S' n B n H) + n(S n B n H') + n(S n B n H) + n(S n B' n H) + n(S' n B' n H) + n(S n B' n H')]
n(S' n B' n H') = 100 - (26 + 10 + 18 + 12 + 16 + 0 + 2) = 100 - 84 = 16%
P(S' n B' n H') = 16/100 = 0.16
