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3 years ago

6 root 5 plus 6 root 5

Mathematics

2 answers:

KengaRu [80]3 years ago

3 0

Answer:

12√5

Step-by-step explanation:

6√5 + 6√5 = (6 + 6) * √5 = 12 * √5 = 12√5.

lorasvet [3.4K]3 years ago

3 0

Answer:

12 $\sqrt{5}$

Step-by-step explanation:

When you add the surds which are the same type, (both are root 5), just add the integers before them together.

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The distribution of actual weights of 8-ounce wedges of cheddar cheese produced at a dairy is Normal with mean 8.1 ounces and st

Sonja [21]

Answer:

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

$\bar X \sim N(\mu=8.1, \frac{0.2}{\sqrt{10}}=0.063)$

approximately Normal, mean 8.1, standard deviation 0.063.

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 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".

Let X the random variable weights of 8-ounce wedges of cheddar cheese produced at a dairy. We know from the problem that the distribution for the random variable X is given by:

$X\sim N(\mu =8.1,\sigma =0.2)$

We take a sample of n=10 . That represent the sample size.

What can we say about the shape of the distribution of the sample mean?

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

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

$\bar X \sim N(\mu=8.1, \frac{0.2}{\sqrt{10}}=0.063)$

approximately Normal, mean 8.1, standard deviation 0.063.

3 0

4 years ago

If p = 4/5, what is the smallest value of n that satisfies the requirements for a normally distributed p?

adell [148]

Answer:

The smallest value of n that satisfies the requirements for a normally distributed p is 30

Step-by-step explanation:

The Central Limit Theorem says that if we have a random sample and the sample size is large enough (usually bigger than 30), then the sample proportion will follow a normal distribution with mean p, where p is the true population proportion.

8 0

4 years ago

A merchant mixed 12 lb of a cinnamon tea with 3 lb of spice tea. The 15-pound mixture cost $24. A second mixture included 14 lb

bezimeni [28]

Hey there!!

Let us take the price of cinnamon tea as ' x ' and spice tea as ' y '

Now, let us take it into equation

12x + 3y = 15 -------------- ( 1 )

14x + 12y = 45 --------------- ( 2 )

Let us multiply the first equation with 4

48x + 12y = 60 --------------- ( 1 )

14x + 12y = 45 --------------- ( 2 )

Now, subtract equation 2

48x + 12y = 60

-14x - 12y = -45

Now, we get,

34x = 15

x = 15 / 34

This is the cost for cinnamon tea = $ 15 / 34

Now, substitute this into one equation

Let us take this equation - 12x + 3y = 15

Now, substitute ' x '

12 ( 15 / 34 ) + 3y = 15

6 ( 15 / 17 ) + 3y = 15

90 / 17 + 3y = 15

3y = 15 - 90/17

3y = 165 / 17

y = ( 165/17 ) ( 1 / 3 )

y = $ 55/17

Cinnamon tea = $ 15/34

Spice tea = $ 55/17

Hope helps!

3 0

3 years ago

Which steps should be used to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x

dalvyx [7]

Answer:

The steps are are explained below.

Step-by-step explanation:

Given:

The equation of the line is given as:

$y-4=\frac{1}{3}(x+2)$

The above equation is in point-slope form $y-y_1=m(x-x_1)$ .

Therefore, on comparing, we get

$x_1=-2,y_1=4,m=\frac{1}{3}$

So, the slope is one-third and point is (-2,4).

Now, following are steps for plotting the graph:

i. Plot the point (-2,4).

ii. Since the slope is one-third, it means we need to move 3 units to right from the point (-2,4) and then 1 unit up. So, after translating 3 units right and 1 unit up we mark the second point which is $(-2+3,4+1)\rightarrow )(1,5)$ .

iii. Draw a line passing through the points (-2,4) and (1,5) to get the graph of the line

Thus, the graph is drawn below.

8 0

3 years ago

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What is 0.04 as a standard form

kow [346]

.4 because it is .04 multiply by 10^

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3 years ago

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