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True [87]
3 years ago
13

You buy a brand new wax candle that stands 6 inches tall. Knowing that the rate at which the wax melts is approximately 1/100 of

an inch per minute, write a linear equation that could model this situation.
Mathematics
2 answers:
Mama L [17]3 years ago
5 0

Answer:

600 minutes total

Step-by-step explanation:

Inch = 100

1/100 every minute

100/100 = 1 inch and 100 minutes

600/100 = 6 inch and 600 minutes

ipn [44]3 years ago
4 0

Answer:

y=-1/100x+6 or y=-1x+600

Step-by-step explanation:

6 inches is the Y intercept (600,0) if measuring by 1/100 or (6,0)

Since the wax is melting, the slope  is going to be negative

y=mx+6 or y=mx+600 either is fine and would yield the same results

y=-.01x+6, y=1/100x+6 or y=-1x+600

To explainn why 6 and 600 are both fine, 6 is measuring with full inches while the 600 is measuring with .01 inches. One graph will be full numbers while the other will be decimals.

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There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once.
pychu [463]

Answer:

When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen.          Here the card is chosen with replacement.  This implies probability for choosing a prime number remains the same as the previously drawn card is replaced.

The sample space= {1,2,3,4,5,6,7,8,9,10}

Prime numbers = {2,3,5,7}

Prob for drawing prime number = 4/10 = 0.4

is the same when replacement is done.

Also there are two outcomes either prime or non prime.  Hence in this case, X the no of times a prime number is chosen, is binomial with p =0.4 and q = 0.6 and n=5


When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.

Prob for an even number = 0.5

But after one card drawn say odd number next card has prob for even number as 5/9 hence each draw is not independent of the other.  Hence not binomial.

When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.

Here since every time replacement is done, probability of drawing a 3 remains constant = 1/10 = 0.3

i.e. each draw is independent of the other and there are only two outcomes , 3 or non 3. Hence here X is binomial.

When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen

Here X is the number of times a card is chosen with replacement till 5 is chosen.  This is not binomial.  Here probability for drawing nth time correct 5 is  P(non 5 in the first n-1 draws)*P(5 in nth draw) = 0.1^(n-1) (0.9)

Because nCr is not appearing i.e. 5 cannot appear in any order but only in the last draw, this is not binomial.

Step-by-step explanation:


6 0
3 years ago
Transform this equation to slope-intercept form: 6x + 4y = 8
JulsSmile [24]
Basically, ur just solving for y

6x + 4y = 8...subtract 6x from both sides
4y = -6x + 8....now divide both sides by 4
y = (-6/4)x + 8/4...reduce
y = -3/2x + 2 <=== slope intercept form
3 0
3 years ago
Read 2 more answers
Please help me I don't know it
ValentinkaMS [17]
I believe the answer would be a but im not certain
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3 0
3 years ago
Read 2 more answers
A dance studio requires each dancer to pay a registration fee plus an hourly rate for all lessons. If the total cost, y, of a da
Marat540 [252]

Answer:

(0,50)

Step-by-step explanation:

Given the total cost of a dancers lesson  modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.

Substitute x = 0 into the expression

y = 25x + 50

y = 25(0) + 50

y = 0+50

y = 50

Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50

7 0
2 years ago
If numerous large random samples or repetitions of the same size are taken from a population, the frequency curve made from prop
Evgen [1.6K]

Using the Central Limit Theorem, the shape of the frequency curve will be approximately normal.

<h3>What does the Central Limit Theorem state?</h3>

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}, as long as np \geq 10 and n(1 - p) \geq 10.

Hence, the shape of the frequency curve will be approximately normal.

More can be learned about the Central Limit Theorem at brainly.com/question/24663213

7 0
2 years ago
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