Need help!! what is the ewuation of the like shown?

Tonya and Emily each have an online jewelry store. Let T represent the amount of money Tonya earns daily, and let

zubka84 [21]

Answer:

On average, Tonya makes $312 more than Emily on a typical day.

Step-by-step explanation:

I was just studying that question a few hours ago

3 0

3 years ago

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Find the Mean of the following set of data. (Round to the

Vikentia [17]

Answer:

2.75

Step-by-step explanation:

to get the mean all you have to is add all the numbers up then divide by how numbers there are. so 3e is what u get when u add them up then divide by 12 and u get 2.75

3 0

3 years ago

1) 3(3x - 4) = -2(1 – 4x)

Yanka [14]

Let's solve your equation step-by-step.
3
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3
x
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4
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=
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2
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1
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4
x
)
Step 1: Simplify both sides of the equation.
3
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4
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3
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3
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=
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1
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+
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(Distribute)
9
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12
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8
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9
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Step 2: Subtract 8x from both sides.
9
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12
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8
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8
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x
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=
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2
Step 3: Add 12 to both sides.
x
−
12
+
12
=
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2
+
12
x
=
10

6 0

3 years ago

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alexandr1967 [171]

Answer:

a) $P( X$

We want this probability:

$P( X >64)$

And using the z score formula given by:

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

We got:

$P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316$

b) For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674$

And if we solve for a we got

$a=42 +0.674*5.5=45.707$

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(42,25.5)$

Where $\mu=42$ and $\sigma=5.5$

And we want this probability:

$P( X$

And using the z score formula given by:

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

We got:

$P( X$

We want this probability:

$P( X >64)$

And using the z score formula given by:

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

We got:

$P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316$

Part b

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674$

And if we solve for a we got

$a=42 +0.674*5.5=45.707$

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.

8 0

2 years ago

Solve the following equation for the variable x. ( 1/27 is a fraction )

igor_vitrenko [27]

The answer is,
$\frac{10935}{59048}$
Also equivalent to about, 0.185188.

5 0

3 years ago

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