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iren2701 [21]
3 years ago
8

If 20 were added to each of the vlaues in a data set that originally had a standard deviation of 8, the standard deviation of th

e resulting data would be 28
Mathematics
1 answer:
Nitella [24]3 years ago
3 0

Answer:

False (I assume it's a true/false question)

Step-by-step explanation:

Standard deviation measures how spread out the data is.  If you add 8 to all the data values, the distribution of data moves to the right (on a graph) 8 units. The shifted data are no more and no less spread out than before.  The standard deviation does not change.

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Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W
Alborosie
Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
F=P(1+i)^n      [compound interest formula]
=135000(1+.005)^{16*12}
=351736.652

Future value of payments after 16 years
\frac{A((1+i)^n-1)}{i}
=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}
=279287.456

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}
=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}
=869.806892

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>
6 0
2 years ago
Read 2 more answers
Solve the inequality for x: -3(2x+5) &lt; -45
balandron [24]

Answer:

x>5

Step-by-step explanation:

-3(2x+5)<-45

2x+5<-45/-3

2x+5<15

2x<15-5

2x<10

x<10/2

x<5

x>5

7 0
3 years ago
One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average
Goshia [24]

Answer: 0.0930

Step-by-step explanation:

As per given , we have

H0: μcoffee = 6

Ha: μcoffee < 6

She finds z = −1.68 with one-sided P-value P = 0.0465.

The P-value for two-tailed test is calculated by :

2P(Z>|z|)

For z= -1.68 , we have

2P(Z>|-1.68|)=2P(Z>1.68)

=2(1-P(z\leq1.68))\ \ [\because\ P(Z>z)=1-P(Z\leq z)]

=2(1-0.9535213)\ \ \ [\text{ NORM.S.DIST(z, TRUE}]\\\\=2( 0.0464787)=0.0929573\approx0.0930  

Hence, the correct two-sided P-value for z = −1.68 is 0.0930 .

3 0
3 years ago
If you averaged 400 miles per day,about how many days would a trip of 1990 miles take
worty [1.4K]

Answer:

It would take 5 days

Step-by-step explanation:

1990/400 is 4.975 round that it is 5 so 5 days

3 0
3 years ago
Read 2 more answers
Nearest whole number to 67,400
MakcuM [25]
70,400 is the answer
4 0
3 years ago
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