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3 years ago

Write the following equation in the general form Ax + By + C = 0. 2x + y = 6

Mathematics

1 answer:

katen-ka-za [31]3 years ago

5 0

2x + y = 6
2x + y - 6 = 0

answer is 2x + y - 6 = 0

hope that helps

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ANSWER FOR BRAINLIEST:

AlekseyPX

Step-by-step explanation:

I think mode,range and median dpo ako sure

3 0

2 years ago

The weight of an adult swan is normally distributed with a mean of 26 pounds and a standard deviation of 7.2 pounds. A farmer ra

Snezhnost [94]

Let $X$ denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by $X_1,\ldots,X_{36}$ , each independently and identically distributed with distribution $X_i\sim\mathcal N(26,7.2)$ .

You want to find

$\mathbb P(X_1+\cdots+X_{36}>1000)=\mathbb P\left(\displaystyle\sum_{i=1}^{36}X_i>1000\right)$

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

$\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)$

Recall that if $X\sim\mathcal N(\mu,\sigma)$ , then the sampling distribution $\overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right)$ with $n$ being the size of the sample.

Transforming to the standard normal distribution, you have

$Z=\dfrac{\overline X-\mu_{\overline X}}{\sigma_{\overline X}}=\sqrt n\dfrac{\overline X-\mu}{\sigma}$

so that in this case,

$Z=6\dfrac{\overline X-26}{7.2}$

and the probability is equivalent to

$\mathbb P\left(\overline X>\dfrac{1000}{36}\right)=\mathbb P\left(6\dfrac{\overline X-26}{7.2}>6\dfrac{\frac{1000}{36}-26}{7.2}\right)$
$=\mathbb P(Z>1.481)\approx0.0693$

5 0

3 years ago

Find the missing side length.

LekaFEV [45]

I don’t know how those answers exist but the correct answer here is 10, 16-6 = 10 yds.

6 0

2 years ago

Suppose that a rectangular picture is surrounded by a frame of uniform width of x

user100 [1]

Answer:

Ok so the area of the frame is 18*12 = 216cm^2

Let’s suppose the width of the frame is x

The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432

4x^2 + 60x + 216 = 432

4x^2 + 60x - 216 = 0

x^2 + 15x - 54 = 0

(x+18)(x-3) = 0

Therefore x = {-18,3}

Since width of the frame has to be positive, the width has to be 3cm Step-

i hope i helped!

3 0

3 years ago

Red copper costs $0.90 for 7.6m and yellow copper costs $1.12 5.2m. Estimate how much each amount of copper costs.

ICE Princess25 [194]

Answer: Red copper = $0.12 per meter

Yellow copper = $0.22 per meter

Step-by-step explanation:

Since Red copper costs $0.90 for 7.6m, the cost of 1m of red copper will be:

= $0.90/7.6

= $0.12

Since yellow copper costs $1.12 5.2m, the cost of 1m of yellow copper will be:

= $1.12 / 5.2

= $0.22 per meter

5 0

3 years ago