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3 years ago

Help me rn or I will fail pleassss

Mathematics

1 answer:

n200080 [17]3 years ago

3 0

Step-by-step explanation:

Note that the line goes through the points $P_1(0, 3)$ and $P_2(-2, 0)$ so we can calculate the slope m of the line as follows:

$m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{0 - 3}{-2 - 0}= \dfrac{3}{2}$

which makes our equation take the form

$y = \dfrac{3}{2}x + b$

To find the value of b, use either P1 or P2. Let's use P1:

$3 = \dfrac{3}{2}(0) + b \Rightarrow b = 3$

Therefore, the equation for the line is

$y = \dfrac{3}{2}x + 3$

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What's the area of this? PLS HELP

balandron [24]

Answer:

446mm

Step-by-step explanation:

If we box off parts of the area, it makes it easier to solve. I personally broke it into tiny bits:

Upper left box: 16mm

Bigger box (excluding little box): 90mm

Big rectangle: 340mm

Now, add them all together.

Equals 446mm

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3 years ago

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Answer:

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Which answers describe the shape below? Check all that apply.

serg [7]

Answer:

Trapezoid and Quadrilateral

Step-by-step explanation:

Trapezoid because it has four sides that are not equal You may not be familiar with this figure because most trapezoids don't look like this. It is a quadrilateral because it is a figure that has 4 sides.

7 0

2 years ago

I’d really appreciate if you’d also give a brief explanation:)

ArbitrLikvidat [17]

Answer:

Only area of PQR can be calculated.

Step-by-step explanation:

In PQR, we have both the base (24 cm) and the height (15cm) which is perpendicular to the base. Therefore using these two measurements, we can take

$\frac{1}{2} \times 24 \times 15$

This is equal to 180 cm².

3 0

3 years ago

Suppose a lawn and garden company wants to determine the current percentage of customers who use fertilizer on their lawns. How

marishachu [46]

Answer:

n=601

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.96})^2}=600.25$

And rounded up we have that n=601

3 0

3 years ago