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3 years ago

15

Mark’s garden is a rectangle that is meters long and meters wide. If Mark decides to fence his garden, the total length of fe

ncing material required would be meters. If he uses prebuilt fence sections that are 50 centimeters wide, he will need sections.

1 answer:

Fudgin [204]3 years ago

3 0

50cm = 0.5 meters ,so he will need 32 sections

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Jaime is 9 years old today. Assume that on every one of his birthdays since

Thepotemich [5.8K]

<u>Answer:</u>

The given statement is False statement

<u>Explanation:</u>

We are given that Jaime has blown out a number of candles equal to his age on each of his birthday till now and he is 9 years old now so the total number of candles blown by him all his life is given by the

arithmetic series

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 and

not the arithmetic series

0 + 1 + 2 + 3+ 4+ 5+ 6+ 7+ 9 as given

so the given statement is false.

6 0

3 years ago

Simplify: 4(3x^2y^4)^3 / 2x^3y^5)^4

Semenov [28]

Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) </span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 </span><span> Step 3 :</span><span> 33x6y12 Simplify ———————— 24x12y20 </span></span>Dividing exponential expressions :

<span> 3.1 </span> <span> x6</span> divided by <span>x12 = x(6 - 12) = x(-6) = 1/<span>x6</span></span>

Dividing exponential expressions :

<span> 3.2 </span> <span> y12</span> divided by <span>y20 = y(12 - 20) = y(-8) = 1/<span>y8</span></span>

<span>Equation at the end of step 3 :</span><span> 27 4 • —————— 16x6y8 </span><span>Step 4 :</span>Final result :<span> 27 ————— 4x6y<span>8</span></span>

6 0

3 years ago

Read 2 more answers

The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A

Aloiza [94]

Answer:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

Step-by-step explanation:

Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

$\mu=37$ and $\sigma=28$ and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want to find this probability:

$P( 31 < \bar X< 41)$

And we can ue the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this formula we got for the limits:

$z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515$

$z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01$

So we want to find this probability:

$P(-1.515$

4 0

3 years ago

Which of the following is a example of parallel lines

Alja [10]

= is parallel lines because they are in line with each other. Hope I helped :D

8 0

3 years ago

A box contains 75 red and 25 green light bulbs. it is found that 20 bulbs in the box are defective, of which 2 are red. what is

Afina-wow [57]

Answer:

15 bulbs are red.

Step-by-step explanation: Because 75 is 3 times as big as 25 so every 1 green light bulb 3 red light bulbs will be deflective.

8 0

3 years ago