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evablogger [386]
3 years ago
6

Jamal owns a parking garage and is trying to find the relationship between hour of the day and number of cars in the garage. He

finds that between 4 am and 10 am he can model this with a linear relationship. The equation for this model is y = 3.96x + 2. How many cars were in the garage at 4 am.
A) 1

B) 2

C) 3

D) 4
Mathematics
2 answers:
Sonja [21]3 years ago
6 0
The equation for this model is y = 3.96x + 2.
Given the equation the slope is the rate of car enters the garage.

So it is 3.96 about

C.) 4 cars per hour
viva [34]3 years ago
3 0
The answer would be D , 4
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Is grade level qualitative or quantitative?
Tanya [424]
It would be quantitive I believe
8 0
3 years ago
Which angles are supplementary to∠4? Select all that apply.
andrezito [222]

9514 1404 393

Answer:

  B, D, E

Step-by-step explanation:

All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...

  ∠2, ∠6, ∠7

6 0
3 years ago
Ok I rlly need help with this question it’s rlly hard for me there’s a picture to show —> helppp
Whitepunk [10]

Answer:

x=20; vertical angles theorem

Step-by-step explanation:

hi! we can use the vertical angles theorem for this. vertical angles are congruent to each other, meaning they are the same amount of degrees. so, we can set 2x+10 and 50 equal to each other.

2x+10=50

2x=40

x=20

x=20 because of the vertical angles theorem.

8 0
3 years ago
Which line has an undefined slope? Options: a) y = -1 b) 2y - 4x = 0 c) x = 1 d) y = x - 1
andrey2020 [161]

Answer:

C. x = 1

Step-by-step explanation:

When we have an undefined slope, we have a vertical line of x = [a number]. This isn't a function and we have an undefined slope because we don't know what m equals in y = mx + b.

7 0
3 years ago
A k out of n system is one in which there is a group of n components, and the system will function if at least k of the componen
Solnce55 [7]

Answer:

0.9606 = 96.06% probability that the system will function tomorrow

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of a component working:

0.7 of 0.2(rain)

0.9 of 1 - 0.2 = 0.8(no rain). So

p = 0.7*0.2 + 0.9*0.8 = 0.86

0.86 - 86% probability that the system will function tomorrow

6 components:

This means that n = 6

What is the probability that the system will function tomorrow

This is

P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{6,4}.(0.86)^{4}.(0.14)^{2} = 0.1608

P(X = 5) = C_{6,5}.(0.86)^{5}.(0.14)^{1} = 0.3952

P(X = 6) = C_{6,6}.(0.86)^{6}.(0.14)^{0} = 0.4046

P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1608 + 0.3952 + 0.4046 = 0.9606

0.9606 = 96.06% probability that the system will function tomorrow

6 0
3 years ago
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