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3 years ago

Work out m and c for the line: y -4x= − 1

Mathematics

2 answers:

Lelu [443]3 years ago

8 0

Step-by-step explanation:

$y = 4x - 1 \\ m = 4 \\ c = - 1$

Basile [38]3 years ago

4 0

Answer:

m = 4, c = -1

Step-by-step explanation:

Given equation si

=> y-4x = -1

=> y = 4x-1

Comparing it with the standard form of slope intercept equation:

=> $y = mx+c$

We get,

m = 4, c = -1

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Many identical bags of candy each contain 20 yellow, 15 red, 5 blue and 10 green candies. 15 children are each given their own c

lana66690 [7]

Answer:

0.9999

Step-by-step explanation:

Each bag has a total of 20 + 15 + 5 + 10 = 50 candies.

Each of the 15 kids get their own back and randomly pick 12 candies (without replacement)

First we are going to calculate the probability that they don't get any green candy.

P (not getting a green candy) = C₄₀,₁₂ /C₅₀,₁₂ .

Therefore, the probability of getting at least one candy is 1 - P(not getting a green candy)

P (getting at least one candy) = 1 - (C₄₀,₁₂/C₅₀,₁₂) = 1 - 0.0460 = 0.954

So the probability that one kid gets at least one green candy is 0.954

But now we need to find the probability that at least two of the 15 kids will each have at least one green candy.

To do this, we can use a binomial distribution where success will be getting at least one green candy with p = 0.954

Fail will be not getting a green candy with p = 1 -0.954 = 0.046.

k = 15

We need at least two kids to have success, so we can do P(at least 2 kids have success) = 1 - (P( X=0) + P (X=1))

P (X=0) = $\left[\begin{array}{ccc}0\\15\end{array}\right] (0.954)^{0}(0.046)^{15}$ = 8.737103395697172336050176 × 10⁻²¹

P(X=1) = $\left[\begin{array}{ccc}1\\15\end{array}\right] (0.954)^{1}(0.046)^{14}$ = 2.71799890418318556801908736 × 10⁻¹⁸

Therefore:

P(at least 2 kids have success) = 1 - (P( X=0) + P (X=1))

= 1 - (8.737103395697172336050176 × 10⁻²¹ + 2.71799890418318556801908736 × 10⁻¹⁸) = 0.9999

4 0

3 years ago

Miss Martin went to the grocery store and spent 28.08 dollars on 12 bags of salt and vinegar chips if they each cost the same am

Ne4ueva [31]

Answer:

2.34

Step-by-step explanation:

Divide the total by the number of bags!

28.08/12=2.34

CHECK: 2.34*12=28.08

brainliest, please? ty! <3

7 0

3 years ago

Who want brainliest?

9966 [12]

Answer:

lol me and thanks :p

Step-by-step explanation:

4 0

2 years ago

John has a die and a coin. The die is labeled 1 through 6 and the two sides of the coin are heads and tails. The tables below sh

Alenkasestr [34]

Answer:

n = 60

Step-by-step explanation:

Total outcomes, while tossing a coin are 2, given as:

{Heads, Tails}

The probability of getting a heads up, while tossing the coin is:

P(Heads) = Favorable Outcome/Total Outcomes

P(Heads) = 1/2 = 0.5

Now, the total outcomes, while rolling a die are 6, given as:

{1, 2, 3, 4, 5, 6}

5 of these numbers are factors of 12, which are:

{1, 2, 3, 4, 6}

Thus, the probability of getting a factor of 12, while rolling a die is:

P(Factor of 12) = Favorable Outcome/Total Outcomes

P(Factor of 12) = 5/6 = 0.83

So, the probability of getting both heads and factor of 12 will be:

P(Heads and Factor of 12) = P(Heads ∪ Factor of 12)

P(Heads and Factor of 12) = P(Heads) * P(Factor of 12) = 0.5 * 0.83

P(Heads and Factor of 12) = 0.417 = 41.7%

So, for 144 trials, the number of trials in which we get heads and factor of 12, are given by:

n = P(Heads and Factor of 12) * 144

where,

n = no. of trials John would expect to roll a number on the die that is a factor of 12 and toss a coin that lands heads-up out of next 144 trials

n = 0.417 * 144

n = 60

7 0

3 years ago

Evaluate the expression and enter your answer in the box below. 8 + |7|

rewona [7]

Answer:

Well the absolute value of 7 is 7 and 7+8 would be 15.

Step-by-step explanation:

Answer: 15

Hope this helped :)

Please give brainliest!

7 0

2 years ago