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3 years ago

4. What is the slope of the graph of x – 2y = 8?

Mathematics

1 answer:

Liula [17]3 years ago

6 0

Answer:

The slope is 1/2

Step-by-step explanation:

Use the slope-intercept form y = m x + b to find the slope m

Hope this helps:)

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Solve 15 and 21, will give BRAINLIST!!

xeze [42]

Answer:

Step-by-step explanation:

cross multiplication:

4*10=2*x

40=2x

x=40/2=20

6.8w=2(4.5)

6.8w=9

w=9/6.8=1.32352941

4 0

2 years ago

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if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?

Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 9 rolls, hence $n = 9$ .

Of the six sides, 2 are 3 or 4, hence $p = \frac{2}{6} = 0.3333$

The desired probability is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

$P(X < 2) = P(X = 0) + P(X = 1)$

Then

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

$P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026$

$P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117$

Then:

$P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857$

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0

2 years ago

Make r the subject of the formula

zloy xaker [14]

Answer:

$r=\frac{-a+p}{a+p}$

Step-by-step explanation:

$-pr+p=ar+a$

$-ar-pr+p=a$

$-ar-pr=a-p$

$r(-a-p)=a-p$

$r=\frac{-a+p}{a+p}$

3 0

2 years ago

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24.Jill has $800 and is spending $30 per week. Gill has $150 and is saving $20

attashe74 [19]

Jill and Gill will have the same amount of money in week 13, they will both have $410.

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2 years ago

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the dimensions of the oven tray is 600mm by 500mm. Each cake tin is 25cm in diameter. How many cake tins can be fit on the oven

gulaghasi [49]

That's 60cm by 50cm

so that would be 4 cake tins

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2 years ago

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