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3 years ago

4. Write the equation

Mathematics

2 answers:

Llana [10]3 years ago

8 0

Answer:

a.give the y-intercept

makvit [3.9K]3 years ago

7 0

Answer:

Step-by-step explanation:

$\frac{-1}{2}(2x - 6y) = 12\\\\\frac{-1}{2}*2x - 6y *\frac{-1}{2}=12\\\\-x + 3y = 12\\\\ 3y = x + 12\\\\ y = \frac{1}{3}x+\frac{1}{3}*12\\\\ y = \frac{1}{3}x + 4$

b) Slope = (1/3)

c) y-intercept = 4

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Is this right and what's the answer for number 3?

Mumz [18]

That looks great! But say you chose number 2. You could say you organized it by multiplying single packs by the pieces of packs.

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3 years ago

Read 2 more answers

The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginnin

Schach [20]

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used 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.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that $p = 0.9$ .

Sample of 10

This means that $n = 10$

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

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

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

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3 years ago

Q28. In a sale, the normal price of a book is reduced by 30%. The sale price of the book is £2.80 Work out the normal price of t

lisov135 [29]

Answer:

0.90

Step-by-step explanation:

090. = 0.90

30/2.80

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3 years ago

What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weig

Pavlova-9 [17]

The answers are: 4.5 g and 56.25 g respectively.

Since the first type of measurement in this question is weight or mass, I'll suppose that the percentage concentration is % mass/mass. For that type of concentration measurement, just multiply the percentage by the total mass to get the mass of the wanted material.
So 150 g * 3% = 150 g * 0.03 = 4.5g

For the 8% solution with the same amount of dry substance, use the ratio of percentages, multiplied by the mass of the first solution to get the wanted amount of new solution:
3/8 * 150 g = 56.35 g

5 0

3 years ago

The sum of 2 consecutive integers is -33.If n is the first integer,which equation best models the situation?

monitta

Answer:

You can choose which equation below suits your taste but I recommend the 2n + 1 = -33.

Step-by-step explanation:

$(n) + (n + 1) = - 33 \\ 2n + 1 = - 33 \\ 2n = - 32 \\ n = - 16$

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3 years ago