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3 years ago

Area of a square tile is the same as the area of a rectangular tile that is 18 inches long and 8 inches wide

Mathematics

2 answers:

wolverine [178]3 years ago

7 0

Answer:

12 in

Step-by-step explanation:

<u>Area of rectangle:</u>

A = lw = 18*8 = 144 in²

Area of square:

A = a²
a² = 144
a = √144
a = 12 in

Lady bird [3.3K]3 years ago

5 0

Answer:

The length of the square is 12 inches.

Step-by-step explanation:

Area of square = Area of rectangle

Area of rectangle = Length × Breadth

⇒ 18 × 8

⇒ 144 in²

★ <u>Area of square</u> = Side × Side

⇒ 144 = Side²

⇒ Side = √144

⇒ Side = 12 inches

Therefore, the length of the square is 12 inches.

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Last summer, winky's waterpark kept track of the number of park visitors each day.

Montano1993 [528]

As per the given data 100, 150, 200, 250, 300, 350 the range of the data set is 250.

<h3>What is range?</h3>

It is defined as the difference between the maximum value in the data set to the minimum value in the data set.

We have:

Last summer, Winky's watermark kept track of the number of park visitors each day.

The data given:

100, 150, 200, 250, 300, 350

As we know range is a statistical measure which is the difference between maximum and minimum value.

Range = maximum value in data set—minimum value in data set

Range = 350 - 100 = 250

Thus, as per the given data 100, 150, 200, 250, 300, 350 the range of the data set is 250.

Learn more about the range here:

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2 years ago

Which is the rate of change for the interval between 3 and

miskamm [114]

Answer: 2

Step-by-step explanation:

I just did it on edge2020

6 0

3 years ago

Which is bigger 1/10 1/12

nasty-shy [4]

I'm pretty sure it's 1/10 because it is one out of ten instead of one out of 12 ya feel

7 0

3 years ago

Read 2 more answers

5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g

anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1117}{10} = 111.7$

Sum of squares of differences = 642.1

$S.D = \sqrt{\frac{642.1}{49}} = 8.44$

We are given the following in the question:

Population mean, μ = 106

Sample mean, $\bar{x}$ = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 106\\H_A: \mu > 106$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0

3 years ago

Explain why please and make sure it is in full detail

Marysya12 [62]

Step-by-step explanation:

well,

(y - 7)² = (y - 7)(y - 7)

remember how to multiply 2 expressions ?

you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).

so, when we do the multiplication, we get

(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =

= y² - 14y + 49

and that is clearly different to y² - 49

FYI

y² - 49 is the result of

(y - 7)(y + 7)

because

y×y + 7×y - 7×y + (-7)(7) = y² - 49

8 0

2 years ago

Read 2 more answers

Area of a square tile is the same as the area of a rectangular tile that is 18 inches long and 8 inches wide￼￼

Area of a square tile is the same as the area of a rectangular tile that is 18 inches long and 8 inches wide