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3 years ago

When x = -3 on the graph of y = 2|x| + 3 what will be the y-coordinate?

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Substitute -3 into the equation

y = 2|x| + 3
y = 2 (3) + 3
y = 6 + 3
y = 9

Answer D

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Will give brainliest!! Using the measurements of the shapes.. determine the area and perimeter of the irregular polygon.

yan [13]

Answer:

$p=28.2\:\text{units},\\A=40.2\:\text{square units}}$

Step-by-step explanation:

The irregular shape's area consists of the sum of the areas of all the shapes that make it up.

Area of pink triangle: $\frac{1}{2}\cdot 3 \cdot 3=4.5$

Area of purple square: $3^2=9$

Area of green quadrilateral: $3\cdot 2.9=8.7$

Area of blue triangle: $\sqrt{10.25(10.25-8.5)(10.25-6)(10.25-6)}=17.99989$

Therefore, the area of the irregular polygon is $4.5+9+8.7+17.99989\approx \boxed{40.2\:\text{square units}}$ .

The perimeter of the irregular polygon consists of certain shred sides from the four polygons that make up:

$p=3+3+3+4.2+3+6+6=\boxed{28.2\:\text{units}}$

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2 years ago

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Step-by-step2 explanation:

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3 years ago

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Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.â Suppose a small group of 11 Allen's humming

alexira [117]

Answer:

$3.15-1.28\frac{0.38}{\sqrt{11}}=3.003$

$3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297$

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

$ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147$

Step-by-step explanation:

Previous concepts

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".

$\bar X=3.15$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=0.38$ represent the population standard deviation

n=11 represent the sample size

Solution to the problem

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.80 or 80%, the value of $\alpha=0.2$ and $\alpha/2 =0.1$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NOR.INV(0.1,0,1)".And we see that $z_{\alpha/2}=1.28$

Now we have everything in order to replace into formula (1):

$3.15-1.28\frac{0.38}{\sqrt{11}}=3.003$

$3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297$

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

$ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147$

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3 years ago

Could some please help me with these two

damaskus [11]

Answer:

Step-by-step explanation:

(-m)^(-3) = -m^3, since (-1)^-3 = 1 / (-1).

If m = 2 then we have -2^(-3), or -1 / [2^3]), or -1/8.

Finally, if n = -24, the original expression becomes

(-1/8)(-24) = +3

Second problem: Only the first expression simplifies to a negative result.

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3 years ago