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BabaBlast [244]

2 years ago

15

Classify the system of equations and identify the number of solutions.

1 answer:

Marat540 [252]2 years ago

5 0

Answer:

C. Inconsistent; none

Step-by-step explanation:

<u>Given system:</u>

2x + y = 7 ⇒ y = -2x + 7
y + 5 = -2x ⇒ y = -2x - 5

<u>We observe that:</u>

The slopes are same m = -2
The y-intercepts are different, b = 7 and b = - 5
The lines are parallel, so no solution

Correct choice is C

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The cost of renting ice skates at a skating rink is $1.25. The rink charges $3.25 for each hour, x, of skating. Which graph best

posledela

Answer:

A

Step-by-step explanation:

Since the total cost at first will not be 5 exactly, it will turn to 4.5 (4.50). And it will be just below the five, at the first hour. And then from there, just add 3.25 each hour and forget about the 1.25 since 1.25 is used for the beginning only, and not the rest.

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What is the equation of the circle described below. Center (-1, 4), radius = √3

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3 years ago

100 Points!!!!!!!!!

artcher [175]

Answer:

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Step-by-step explanation:

8 0

3 years ago

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jarptica [38.1K]

Answer:

36,000,000

Step-by-step explanation:

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3 years ago

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A consumer products company found that 44% of successful products also received favorable results from test market research, w

Korolek [52]

Answer:

0.80
0.289
0.20
0.711

Step-by-step explanation:

Given:

$P(S\cap F)=0.44\\P(S\cap F^{c})=0.13\\P(S^{c}\cap F^{c}) = 0.32\\P(S^{c}\cap F) = 0.11$

The rule of total probability states that:

$P(A) = P(A\cap B) + P(A\cap B^{c})$

Compute the individual probabilities as follows:

$P(S) = P(S\cap F) + P(S\cap F^{c})\\=0.44+0.13\\0.57$

$P(S^{c}) = 1 - P(S)\\=1-0.57\\=0.43$

$P(F) = P(S\cap F) + P(S^{c}\cap F)\\=0.44+0.11\\=0.55$

$P(F^{c})=1-P(F)\\=1-0.55\\=0.45$

Conditional probability of an event A given B is:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Compute the value of $P(S|F)$ :

$P(S|F)=\frac{P(S\cap F)}{P(F)}\\=\frac{0.44}{0.55}\\=0.80$

Compute the value of $P(S|F^{c})$

$P(S|F^{c})=\frac{P(S\cap F^{c})}{P(F^{c})}\\=\frac{0.13}{0.45}\\=0.289$

Compute the value of $P(S^{c}|F)$

$P(S^{c}|F)=\frac{P(S^{c}\cap F)}{P(F}\\=\frac{0.11}{0.55}\\=0.20$

Compute the value of $P(S^{c}|F^{c})$

$P(S^{c}|F^{c})=\frac{P(S^{c}\cap F^{c})}{P(F^{c})}\\=\frac{0.32}{0.45}\\=0.711$

3 0

3 years ago