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notka56 [123]
3 years ago
6

Find how much was invested

Mathematics
1 answer:
Scilla [17]3 years ago
7 0

Answer:

t = Time

Step-by-step explanation:

A = X(1+.05)^t using X as the initial investment, compounded yearly

For $20000 more invested at 7%,

A' = (X+20000)(1+.07)^t

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Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longbo
Alisiya [41]

Answer:

Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders

Step-by-step explanation:

The null hypothesis is that  the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders

H0:  μL > μs      against the claim Ha:  μL≤ μs

the alternate hypothesis is the mean days surfed for all long boarders isless or equal to  the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)

The test statistic is

t= x1- x2/  √s1/n1+ s2/n2

1) Calculations

Longboards

Mean

ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30

=377/30

=12.5667

Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1

=[831-(-13)²/30]/29

=831-5.6333/29

=825.3667/29

=28.4609

Shortboard Mean

ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30

=288/30

=9.6

Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1

=[ 3270-(288)2/30]/29

=3270-2764.8/29

=505.2/29

=17.4207

2) Putting values in the test statistic

t=|x1-x2|/√S²1/n1+S²2/n2

t =|12.5667-9.6|/√28.4609/30+17.4207/30

t =|2.9667|/√0.9487+0.5807

t=|2.9667|/√1.5294

t=|2.9667|/1.2367

t=2.3989

3) Degree of freedom =n1+n2-2=30+30-2=58

4) The critical region is t ≤ t(0.05) (58) =1.6716

5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58)  ≤ 1.6716 we do not reject H0.

The p-value is 0.008969. The result is significant at p <0 .05.

6 0
3 years ago
Mr. Jones feeds his big cat 1/3 of a can of cat food and he feeds his small cat half
sasho [114]

Answer:

1/2

Step-by-step explanation:

1/3 + 1/6 = 1/2

5 0
3 years ago
Can you please help me solve
Digiron [165]

Answer:

First Problem:

1/2 * -2 2/5 = 1/2 * -12/5 = -12/10

Simplify -12/10 into -6/5

Step-by-step explanation:

8 0
3 years ago
Two opposite rays _____ form a line.
disa [49]
The answer is -
always
3 0
3 years ago
Read 2 more answers
Pls help because I’m not sure
leva [86]

B

Step-by-step explanation:

8 0
2 years ago
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