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3 years ago

STRUCTURE Without graphing or solving, determine the number of solutions of the system.

1 answer:

6 0

I believe the answer would be "infinitely many solutions" because you can put any number as x and y would be a different answer each time for both of the equations given. i hope this helps :)

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The shapes below are mathematically simillar

Elanso [62]

Answer:

Step-by-step explanation:

3 0

3 years ago

What’s the volume of the cylinder with a radius of 10 and a height of 30?

astraxan [27]

The answer is 9424.78

Reason:

6 0

3 years ago

A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken

mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

$X=1$ number of citrus trees that are infected with the citrus red mite.

$n=5$ random sample taken

$\hat p=\frac{1}{5}=0.2$ estimated proportion of citrus trees that are infected with the citrus red mite.

$p$ true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

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 values 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 values would be given by:

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

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 $ME =\pm 0.01$ 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)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56$

And rounded up we have that n=6147

5 0

4 years ago

I need help please and thank you

Ira Lisetskai [31]

This is a false statement.

When you are solving using square roots, you need to be aware that answers can be both positive and negative. When we solve this, you see there are two possible answers.

x^2 - 9 = 0

x^2 = 9

x = +/- 3

While 3 is an answer, so is -3. If we square either of those numbers, we get 9, which will satisfy the equation.

5 0

3 years ago

John has 240 piece of sweet, His brother Stephen has twice of John's sweet and the Sister of John and Stephen has half of John s

Vadim26 [7]

Step-by-step explanation:

No of pieces John has = 240

No of pieces Stephen has = twice of Johns sweet = 240 x 2 = 480

No of pieces John Sister has = half of John's sweet = 240 ÷ 2 = 120

Total sweets = 240 + 480 + 120 = 840

3 0

3 years ago