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elena-14-01-66 [18.8K]
3 years ago
5

Does the equations y = 4x + 1 represent a proportional relationship?

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer:

Proportional quantities can be described by the equation y = kx, where k is a constant ratio.

Step-by-step explanation:

So, yes it does.

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Write the numbers in order from least to greatest<br><br> 1.3, 1 1/3, 1.34
Norma-Jean [14]

Answer:

1.3, 2 1/3, 1.34 is the order from least to greatest

7 0
3 years ago
A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the
Ne4ueva [31]

Answer:

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Test positive

Event B: Has the disease

Probability of a positive test:

90% of 3%(has the disease).

1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So

P(A) = 0.90*0.03 + 0.1*0.97 = 0.124

Intersection of A and B:

Positive test and has the disease, so 90% of 3%

P(A \cap B) = 0.9*0.03 = 0.027

What is the conditional probability that she does, in fact, have the disease

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

3 0
3 years ago
This week laptops are 25% off. If a laptop cost $340 what is it's sale price?
Andrej [43]
The sale price is $255
7 0
3 years ago
Read 2 more answers
Which ordered pair would form a proportional relationship with the point graphed below? (60,-20)
valentina_108 [34]

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

y\propto x

y=kx

\dfrac{y}{x}=k

Where, k is the constant of proportionality.

For the given point,

k=\dfrac{-20}{60}

k=\dfrac{-1}{3}

For option (A),

k=\dfrac{30}{-10}

k=-3\neq \dfrac{-1}{3}

For option (B),

k=\dfrac{-15}{30}

k=-\dfrac{1}{2}\neq \dfrac{-1}{3}

For option (C),

k=\dfrac{10}{-30}

k=\dfrac{-1}{3}.

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

7 0
3 years ago
Can yall help me on question 23?!
Allushta [10]

Answer:

c. 29 feet

Step-by-step explanation:

3 0
3 years ago
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