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3 years ago

HELP ME (How many cubes with side length 1/2 cm does it take to fill the prism

Mathematics

1 answer:

Natalija [7]3 years ago

8 0

answer:

step-by-step explanation:

for this you would find the volume and then divide by 1/2

v = l x w x h

v = (1)(2)(3/2)

v = 3

now, divide

3 ÷ 1/2 = 6

therefore, it will take 6 half cubes to fill up the container

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What is the axis of symmetry for the function f(x)=3(x-2)^2+4

Alex73 [517]

y=3(x-2)²+4

Vertex is(2,4)

Axis of symmetry: x=2

5 0

3 years ago

Random sample size of 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. T

Ugo [173]

Answer:

the mean and standard error of the mean are 200 and 2 respectively.

Step-by-step explanation:

Given that ;

the sample size n = 81

population mean μ = 200

standard deviation of the infinite population σ = 18

A population is the whole set of values, or individuals you are interested in, from an experimental study.

The value of population characteristics such as the Population mean (μ), standard deviation (σ) are said to be known as the population distribution.

From the given information above;

The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.

i.e

$\mu = \bar \mu_x$ = 200

∴ The mean = 200

and the standard error of the mean can be determined via the relation:

$\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}$

$\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}$

$\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}$

$\mathbf{standard \ error \ of \ mean =2}$

Therefore ; the mean and standard error of the mean are 200 and 2 respectively.

6 0

3 years ago

Pls help me i will mark as brilliant pls write the step

djyliett [7]

1a) Firstly, lets start by expanding the brackets. x × x is x². So x(x+1) = x² + x. Then we do the second part. 2 × x = 2x and 2 × 1 = 2. Now we have

x² + 3x + 2.

Now what we do is simplify through quadratic formula. We look at the last digit which is 2. What two numbers multiplies to give you 2? 2 and 1. 2 x 1 = 2 and 2 + 1 = 3. Our second number is 3 so this is the right amount. so now we just put the two factors together. (x + 1)(x+2). This is the answer.

b) I have explained above and so am just gonna write the answers. After expanding we get x² + 2x + 1. We get simplify to

= (x + 1)(x+1)

c) y² + 3y + 4. This cannot be simplified into the format so we leave it like this.

d) = 0.

Have a go at the last ones by yourself, if you still need help, I am available!

4 0

2 years ago

11 14/15 as a decimal

mestny [16]

Answer:

11.933333333

Step-by-step explanation:

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3 years ago

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The slope of mn is -3 Which segment are parallel to mn Select each correct answer.

Sati [7]

keeping in mind that any line parallel to MN will have the same exact slope as MN's.

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-6}{4-2}\implies \cfrac{-6}{2}\implies \cfrac{-3}{1}\implies -3~~\checkmark \\\\[-0.35em] ~\dotfill$

$\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-1}{5-8}\implies \cfrac{9}{-3}\implies \cfrac{3}{-1}\implies -3~~\checkmark$

3 0

3 years ago

Read 2 more answers