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3 years ago

How much can this container hold?

Mathematics

1 answer:

nydimaria [60]3 years ago

6 0

Answer:

225 in.^3

Step-by-step explanation:

You need to find the volume of the container.

The container has the shape of a rectangular prism.

volume = length * width * height

volume = 5 in. * 4.5 in. * 10 in.

volume = 225 in.^3

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A triangle has an area of 38.4 cm2. The

lisov135 [29]

Answer:

6cm

Step-by-step explanation:

$A = \frac{h_b b}{2}$

$38.4 = \frac{12.8_b b}{2}$

$b = 2\frac{A}{h_b}$

$b = 2\frac{38.4}{12.8}$ = 6

8 0

3 years ago

Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

$m=\frac{S_{xy}}{S_{xx}}$

And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

3 years ago

425 is decreased to 319

tatuchka [14]

425 is decreased to 319.

The above statement means that a number should be deducted from 425 to get the difference of 319.

Let x be the unknown number.

425 - x = 319
425 - 319 = x
106 = x

106 is the unknown number.

It can be phrased like this: 425 decreased by 106 is 319.

7 0

3 years ago

Pls answer asap!! will mark brainliest giving 50 points ty ily <3

malfutka [58]

Answer:

Step-by-step explanation:

Keep the order of opperations in mind when doing this (PEMDAS). First, solve what is inside the parentheses (6-1). Then, solve the exponent and the multiplication (6² and 5×5). Finally, finish adding and subtracting to get the answer.

4 0

3 years ago

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Find the Value of ‘X’ please due in 10 minutes

BigorU [14]

Answer:

im guessing this is maybe a dilation of some sort?? so im guessing its 11

Step-by-step explanation:

5 0

3 years ago

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