Which is the graph of 4x

A music school has budgeted to purchase 3 musical instruments. They plan to purchase a piano costing $4,000, a guitar costing $6

kondaur [170]

Answer:

1) $z=\frac{4000-4500}{2500}=-0.2$

That means 0.2 deviations below the mean

2) $z=\frac{600-500}{200}=0.5$

That means 0.5 deviations above the mean

3) $z=\frac{750-850}{100}=-1$

That means 1 deviations below the mean

4) For this case the lowest instrument compared to the other instruments of the same type is the drum set since have the lowest z score z =-1

5) For this case the highest instrument compared to the other instruments of the same type is guitar since have the highest z score z =0.5

Step-by-step explanation:

They plan to purchase a piano costing $4,000, a guitar costing $600, and a drum set costing $750.

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 1

Let X the random variable that represent the cost of for a piano, and for this case we know this

Where $\mu=4500$ and $\sigma=2500$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we replace the formula for X= 4000 we got:

$z=\frac{4000-4500}{2500}=-0.2$

That means 0.2 deviations below the mean

Part 2

Let X the random variable that represent the cost of for a guitar, and for this case we know this

Where $\mu=500$ and $\sigma=200$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we replace the formula for X= 600 we got:

$z=\frac{600-500}{200}=0.5$

That means 0.5 deviations above the mean

Part 3

Let X the random variable that represent the cost of for drum set, and for this case we know this

Where $\mu=850$ and $\sigma=100$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we replace the formula for X= 750 we got:

$z=\frac{750-850}{100}=-1$

That means 1 deviations below the mean

Part 4

For this case the lowest instrument compared to the other instruments of the same type is the drum set since have the lowest z score z =-1

Part 5

For this case the highest instrument compared to the other instruments of the same type is guitar since have the highest z score z =0.5

4 0

3 years ago

you have $560 in an account which pays 4.9% annually. If you invest your money for 7 years, then how many dollars of interest wi

Ipatiy [6.2K]

Answer:

87654

Step-by-step explanation:

5 0

3 years ago

The answer to this.

Readme [11.4K]

Answer:

The two column proof is presented as follows;

Step ${}$ Statement Reason

1 ${}$ $\overline {AC}$ ≅ $\overline {BD}$ Given

${}$ ∠CAB ≅ ∠DBA

2 ${}$ $\overline {AB}$ ≅ $\overline {AB}$ Reflexive property

3 ${}$ ΔABC ≅ ΔBAD SAS rule of congruency

Step-by-step explanation:

Given that we have;

Segment $\overline {AC}$ of ΔABC being congruent to (≅) segment $\overline {BD}$ on ΔBAD and angle ∠CAB on ΔABC is congruent to angle ∠DBA on ΔBAD, and also that the two triangles share a common side, which is segment $\overline {AB}$ , we have;

Segment $\overline {AB}$ is congruent to itself by reflexive property, therefore;

Two sides and an included angle on ΔABC are congruent to the corresponding two sides and an included angle on ΔBAD, which by Side-Angle-Side, SAS, rule of congruency, ΔABC is congruent to ΔBAD

7 0

3 years ago

the sum of the first twelve terms of arithmetic progression [AP] is 168. if the third term is 7. find the value of the common di

34kurt

Answer:

Common difference = 2

First term = 3.

Step-by-step explanation:

3rd term = a1 + (3 - 1)d = 7 where a1 = first term and d = the common difference.

Sum of the first 12 terms = (12/2)[2a1 + (12-1)d] = 168

so 6(2a1 + 11d) = 168

So simplifying, we have the following system:

a1 + 2d = 7 ..................(A)

12a1 + 66d = 168

2a1 + 11d = 28.................(B) Multiplying equation A by - 2:

-2a1 - 4d =- -14 Adding this to equation B

7d = 14

d = 2

Now plug this into equation A:

a1 + 2(2) = 7

a1 = 7-4

a1 = 3.

3 0

3 years ago

Enter a positive common factor (other than 1) of the fraction's numerator and

Artyom0805 [142]

Answer:

7

Step-by-step explanation:

7 is a common positive factor if 14 and 21. 2:3

5 0

3 years ago

Which is the graph of 4x – 3y = 12?