Ask question

Ask question

All categories

3 years ago

10

The tables in the sixth grade classroom are 2.3 feet long. There are about 30.48 centimeters in 1 foot. About how many centimete

rs long are the tables?

1 answer:

Makovka662 [10]3 years ago

8 0

Answer:

70.104

simplified answer: 70 cm

Step-by-step explanation:

2.3ft * 30.48cm

You might be interested in

Where would fraction<br> 22/11 belong on a #6 number line

pickupchik [31]

22/11 is equal to 2
So, it would be where 2 is on the number line.

6 0

3 years ago

The length of a rectangular flower bed is 2ft longer than the width. If the area is 6ft, then what are the exact length and widt

Marizza181 [45]

Answer:

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

Step-by-step explanation:

Let's assume width of rectangle is w ft

The length of a rectangular flower bed is 2ft longer than the width

so,

length =w+2

$L=w+2$

now, we can find area

$A=L\times W$

now, we can plug it

$A=(w+2)\times w$

$A=w^2+2w$

we are given area =6

so, we can set it equal

and then we can solve for w

$w^2+2w=6$

$w^2+2w-6=0$

we can use quadratic formula

$ax^2+bx+c=0$

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

now, we can compare and find a,b and c

a=1 , b=2 , c=-6

$w=\frac{-2\pm \sqrt{2^2-4\cdot \:1\left(-6\right)}}{2\cdot \:1}$

$w=-1+\sqrt{7},\:w=-1-\sqrt{7}$

we know that dimension can never be negative

so, we will only consider positive value

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

7 0

3 years ago

Height, in meters, is measured for each person in a sample. After the data are collected, all the height measurements

charle [14.2K]

Answer:

(E) The z-scores of the height measurements

Step-by-step explanation:

Mean is given by

$\bar {x}=\frac{1}{n}\left(\sum _{i=1}^{n}{x_{i}}\right)=\frac{x_{1}+x_{2}+\cdots +x_{n}}{n}$

Where,

n = Number of people

$x_{i}$ = The heights of people

When converting m to cm the mean would be

$\bar {x}=\frac{1}{n}\left(\sum _{i=1}^{n}{x_{i}}\right)\times 100$

So, the mean would change

The median gives us the middle data value when the data values are in ascending order.

So, the median would change

Standard deviation

$s=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\bar{x})^2}$

When converting to centimeters

$s=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}\left((x_i-\bar{x})\times 100\right)^2$

Hence, the standard deviation would change

When converting to centimeters the maximum height in meters would be the maximum height in centimeters also.

The z score is given by

$z=\frac{x-\mu}{\sigma}$

where,

x = Data point

$\mu$ = Mean

$\sigma$ = Standard deviation

When converting to centimeters

$z=\frac{(x-\mu)\times 100}{\sigma\times 100}\\\Rightarrow z=\frac{x-\mu}{\sigma}$

Hence, the z score would remain the same

5 0

3 years ago

What is the value of the expression below?<br> 3.5 x 103

grigory [225]

Answer:

360.5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The poetry club had its first bake sale, and they made $79.35. The club members are planning to have 4 more bake sales. Leslie s

Nesterboy [21]

During its first bake sale, the poetry club made $79.35. If we round up to $80, this will make it easier to estimate how much they will make if they have 4 more bake sales (5 altogether). Next, we should use multiplication to determine how much money they will earn altogether after 5 bake sales. Five times $80 equals $400. Leslie accidentally multiplies by 50 because she moves the decimal one place too far.

<h3>Further Explanation</h3>

Estimation

Estimation is when you use an approximate calculation to make a prediction. It is important here to note that an estimation is different than guess. In both instances, one should use whatever knowledge is at their disposal; however, an estimation usually uses rounding and actual calculations.

Rounding

When making an estimation, rounding is an effective tool to use. Often numbers are rounded to the nearest whole number or place value. This can make it easier to do a quick calculation. In the word problem, the nearest whole number to 79.35 is 80. This makes it easier to multiply the dollar amount because there are fewer numbers to multiply.

<h3>Answer Details</h3>

Subject: Math

Level: middle school

Topic: Estimations

<h3>Keywords</h3>

estimation, rounding, multiplication

<h3>Learn More</h3>

Estimating with percents: brainly.com/question/3510011

Estimate: brainly.com/question/107747

6 0

3 years ago

Read 2 more answers