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dybincka [34]
3 years ago
6

Joey participated in a standardized reading test. He scored in the middle of the third stanine in a normal distribution. All of

the following are incorrect except:_________. a. His score was the median for the group that participated in the test.b. His t-score is 40.c. His score fell at +2 standard deviationd. His score fell at a z-score of -3.
Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0

Answer:

b. His t-score is 40.

Step-by-step explanation:

The middle of the third stanine in a normal distribution means that the standard of nine that is applied has the middle of the third count.

It means that if we divide the normal distribution with the standard of nine we will find the score to be  the middle of the  third division.

So it will be (1/3*9=3) more than 3.

Which in normal distribution will be more than 30.

The t distribution is approximately normal when the number of degrees of freedom is greater than 30 .

So the best answer is that <u>His t-score is 40 </u>  ( choice b).

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Bucket with 20 chips. The chips in the bucket
vesna_86 [32]

Answer:

8 blue chips and 12 red

Step-by-step explanation:

8 0
2 years ago
George is considering two different investment options. The first option offers 7.4% per year simple interest on the
jok3333 [9.3K]

Answer:

Part A: The value of the simple interest investment at the end of three years is $12,220

Part B: The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C: The simple interest investment is better over the first three years

Part D: I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Step-by-step explanation:

Part A:

A = P + P r t, where

  • A represents the value of the investment
  • P represents the original amount
  • r represents the  rate in decimal
  • t represents the time in years

∵ George deposits $10,000

∴ P = 10,000

∵ First option offers 7.4% per year simple interest

∴ r = 7.4% = 7.4 ÷ 100 = 0.074

∵ He may not withdraw any of  the money for three years after

   the initial deposit

∴ t = 3

- Substitute all of these values in the formula above

∴ A = 10,000 + 10,000(0.074)(3)

∴ A = 10,000 + 2,220

∴ A = 12,220

The value of the simple interest investment at the end of three years is $12,220

Part B:

A=P(1+\frac{r}{n})^{nt}, where

  • A represents the value of the investment
  • P represents the original amount
  • r represents the  rate in decimal
  • n is a number of periods of a year
  • t represents the time in years

∵ George deposits $10,000

∴ P = 10,000

∵ The second option offers a 6.5% interest rate compounded quarterly

∴ r = 6.5% = 6.5 ÷ 100 = 0.065

∴ n = 4 ⇒ quarterly

∵ He may not withdraw any of  the money for three years after

   the initial deposit

∴ t = 3

- Substitute all of these values in the formula above

∴ A=10,000(1+\frac{0.065}{4})^{(4)(3)}

∴ A=10,000(1.01625)^{12}

∴ A = 12,134.08

The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C:

∵ 12,220 > 12,134.08

∴ The simplest interest investment is better than the compounded

    interest investment at the end of three years

The simple interest investment is better over the first three years

Part D:

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Look to the attached graph below

  • The red line represents the simple interest investment
  • The blue curve represents the compounded interest investment
  • (Each 1 unit in the vertical axis represents $1000)
  • After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest
  • After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

4 0
3 years ago
What is the property of 3m x 1 =3m
Kipish [7]

Answer:

Assuming this is for a Conic Section. There is no property as it does not match a conic section.

8 0
2 years ago
It takes Chris 6.5 hours to drive 455 miles. If he travels at the same rate, how long will it take him to drive 2100 miles?
mart [117]
First let’s divided 455 by 6.5 to figure out how far he travels in 1 hour which is equal to 70, now let’s do 2100 divided by 70, it will take 30 hours for him to drive 2100 miles.
3 0
3 years ago
If the diameter of the red marble is 3.0 cm, and by using the formula for volume, what is a good approximation of its volume?
atroni [7]
You can solve for volume using radius or diameter.
Sphere Volume   = <span>  4/3 • <span>π <span>• r³ <span>    =     <span>( <span>π <span>•d³)/6
We're given the diameter so let's use that.
Volume = PI * d^3 / 6
</span></span></span></span></span></span></span>
<span>Volume = 3.14159 * 3.0^3 / 6
</span>
<span>Volume = 3.14159 * 9 / 2

</span><span><span><span><span>Volume = </span>14.137 cubic centimeters
 </span></span></span>

6 0
3 years ago
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