Can somebody help me with 1 Nd 2

Answer:

Robert will have $481 more in his account than Cooper.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

Similar to compound interest:

[tex]A(t) = P(1 + r)^t[/tex]

Cooper:

Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that [tex]P = 3100, r = 0.02, n = 4[/tex]

After 12 years is A(12). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(12) = 3100(1 + \frac{0.02}{4})^{4*12}[/tex]

[tex]A(12) = 3938.5[/tex]

Cooper will have $3938.5 in his account.

Robert:

Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So [tex]P = 3100, r = 0.03[/tex].

After 12 years.

[tex]A(t) = P(1 + r)^t[/tex]

[tex]A(12) = 3100(1 + 0.03)^{12}[/tex]

[tex]A(12) = 4419.9[/tex]

Robert will have $4419.9 in his account.

How much more money would Robert have in his account than Cooper, to the nearest dollar?

4419.9 - 3938.5 = 481.4

To the nearest dollar, Robert will have $481 more in his account than Cooper.

Answer:

sqrt(41)

Step-by-step explanation:

Using pythagoras theorem

Answer:

46

Step-by-step explanation:

3(6)+40-6(2)

18+40-12

58-12

46

Answer:

Solution given:

base of triangle [b]=10in

height of triangle [h]=12in

length of rectangle [l]=18in

Now

Volume =area of triangle *length=½(10*12)*18

=1080in³

Volume is 1080 cubic inch.

[tex]\huge{ \mathcal{  \underline{ Answer }\:  \:  ✓ }}[/tex]

In the given figure :

[tex] \boxed{ \mathrm{Volume = \dfrac{1}{2} \times 10 \times 12 \times 18}}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

please complete the question so we can help you out!! :)

Answer:

where is the grid?????................

Answer: 2/5 are U.S. flags

4/5 divided by 1/2 = 0.4, which is equivalent to 2/5.

Answer: 1 minute and 43 seconds faster

Step-by-step explanation:

Answer:

1 minute and 43 seconds faster

Step-by-step explanation:

9514 1404 393

Answer:

  90 seconds

Step-by-step explanation:

n cuts make n+1 pieces. To make 10 pieces requires 9 cuts. The time required for 9 cuts is ...

  (9 cuts)×(10 s/cut) = 90 s

The job will take 90 seconds.

Answer:x ×-3

Step-by-step 4×-3= -12

-12 × -3= 36

and so on

Answer:

30

Step-by-step explanation:

Well if it is 2 blocks wide, you just count the cubes, but if you cant see the blocks behind, then just and the block you see with 2.

my guess

Brainlest? please?

Answer: 28.4

Step-by-step explanation:

Answer:

not lenguague spanish

Step-by-step explanation:

that bad

Answer:

11

Step-by-step explanation:

Scale factor 0.5 means 1/2

so multiply base length with scale factor

22×0.5 = 11

Answer:

Standard Error is increased.

Step-by-step explanation:

Type 2 error is failure to reject a false null hypothesis. This is a 'false negative' result of hypothesis testing, represented by beta 'β'.

Power of test is 1 - β, which shows probability of accurately stating  a null hypothesis false, when it is actually false.

Increased sample size increases the power of test accuracy, hence reduces type 2 error. Increased level of significance implies higher probability of rejecting a true null hypothesis, ie type 1 (false positive) error. So, it decreases type 2 error.

Standard Error increase implies lower level of t statistic , ie = (x - u) / (s / √ n) Lower the t value, higher is the probability of not rejecting null hypothesis, which implies higher chance of type 2 error.

Type II error is 1 - power of the test. The factor that can alone make the type II error to increase is: Option C: The standard error is increased.

Firstly the whole story starts from hypotheses. The null hypothesis is tried to reject and we try to accept the alternate hypothesis.

The probability of committing the type I error is called the significance level of the hypothesis test.

And the more we increase the level of significance, the less area the test statistic gets to fall in, and its chances of falling in region outside level of significance increases, which makes us to reject the null hypothesis more probable, thus, decreasing its chance of tagging as negative, not mattering if true or false.
Thus, increasing level of significance increases the type I error but decreases the type II error.

If it is increases, the likely area for test statistic falling increases, thus, increasing probability of tagging the null hypothesis tagging to be true, so increasing result of test being declared negative, thus, increasing type II error.

Increasing sample size increases statistical power, thus, decreasing the type II error.

Thus, for the given case, as the sampling size is increased, the type II error will decrease, as the significance level is increased, the type II error will decrease, and as the standard error is increased, the type II error will increase with it.

Thus, out of the given factors, only the last factor (increasing the standard error) makes the type II error to get increased.

Thus, the factor that can alone make the type II error to increase is: Option C: The standard error is increased.

Learn more about type II error here:

https://brainly.com/question/26067196

Answer: 2 numbers are 19 and 39

Step-by-step explanation:

y = x + 20

Equation: x + y  + 20 = 78

⇔ x + y = 78 - 20

⇔ x + y = 58

⇔ y = 58 - x

So, we have:

x + 20 = 58 - x ( = y)

⇔ x + x = 58 - 20

⇔ 2x = 38

⇔ x = 19

⇒ y = x + 20 = 19 + 20 = 39

Answer:

Step-by-step explanation:

=> h=-341+999

=> h= 658

Make me the brainliest pls :))

Answer:

1539.4 rounded

Step-by-step explanation:

Have a great day

Answer:

B.  {2, 5, 6, 9}

Step-by-step explanation:

Mean: the sum of all numbers divided by the amount of numbers.

Median: The number between the two middle numbers

-------------------------------------------------------------------------------------------------

Mean: {2 + 5 + 6 + 9} = 22 ÷ 4 = 5.5.

Median: The median of this data set will be 5.5 because it is in between 5 and 6    

Area of the sector = 90/360 ×πr^2

=1/4 ×3.142×6×6

=1/4×113.112

=28.278kilometers square

Approximately 28kilometers square

Answer: ITS JUST D

Step-by-step explanation:

Answer: person above me is correct it it’s in fact D

Step-by-step explanation:

I checked his answer it is D

Answer:

Of the 777 rounds of the game in about 368 the ball will land in a red slot.

Step-by-step explanation:

Since a roulette wheel has 383838 slots, of which 181818 are red, 181818 are black, and 222 are green, and in each round of the game, a ball is tossed in the spinning wheel and lands in a random slot, supposing we watch 777 rounds of this game, to determine the approximate number of rounds where the ball lands in a red slot, the following calculation must be performed:

383838 = 100

181818 = X

181818 x 100/383838 = X

18,181,800 / 383838 = X

47.3684 = X

100 = 777

47.3684 = X

47.3684 x 777/100 = X

36,805.24 / 100 = X

368.05 = X

Therefore, of the 777 rounds of the game in about 368 the ball will land in a red slot.

Answer:

The probability of pulling two of the same types of cookies in a row without replacement is [tex]\frac{51}{105}[/tex].

Step-by-step explanation:

There are a total of 21 * 20 = 420 different outcomes (After you take one cookie out, you aren't replacing it, so there will be 20 cookies in the jar on the second grab). There are a total of 9 * 8 = 72 different combinations of two sugar cookies, and 12 * 11 = 132 different combinations of two snickerdoodle cookies, so the total probability of pulling two of the same types of cookies in a row without replacement is [tex]\frac{132+72}{420} = \frac{204}{420} = \frac{51}{105}[/tex].

Answer:

A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{23.44}{\sqrt{141}}[/tex]

[tex]M = 3.25[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 34.09 - 3.25 = 30.84.

The upper end of the interval is the sample mean added to M. So it is 34.09 + 3.25 = 37.34.

A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).

Answer:

Step-by-step explanation:

As the name Karen is chosen 29 out of 111 times,

the experimental probability of the name Karen being​ chosen = 29/111

As five different names were put into a hat,

the theoretical probability of one name like Karen being​ chosen = 1/5

If the number of names in the hat were different, the experimental probability will still depend on the outcomes. If it is 29 out of 111 times, then the probability stays the same.

But the theoretical probability will be 1 out of the number of names. So it will change.

Answer:

Step-by-step explanation:

P(experimental) = outcome = 29/111

P(theoretical) = P(equal chance) = 1/5

P(expt) no change w/ no. of names

P(theo) changes w/ no. of names

Answer:

Step-by-step explanation:

4/-2