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olga_2 [115]
3 years ago
11

Compare your response to the sample response above. What did you include in your explanation? a reference to the horizontal-line

test a statement that the function is one-to-one the conclusion that the inverse is a function
Mathematics
1 answer:
Papessa [141]3 years ago
8 0

Answer: They're all correct, just did it.

Step-by-step explanation:

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Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same
Maslowich

Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year  = 5×4 = 20 quarterly

amount = $27456

principal = $1225

to find out

interest rate (r)

solution

we use here amount formula that is

amount = principal ((1+r)^{t} -1 ) / r      .....................1

put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ((1+r/4)^{t} -1 ) / r/4

27456 = 1225 ((1+r/4)^{20} -1 ) / r/4

((1+r/4)^{20} -1 ) / r/4  = 27456/ 1225

((1+r)^{20} -1 ) / r  = 27456/ (1225 × 4)

((1+r)^{20} -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount  $27456

graph value

we get r = 0.0472

so rate is 4.72 %

5 0
2 years ago
Read 2 more answers
Mandy and Pete have a biased spinner numbered 1, 2, 3, 4, 5. They each want to find an estimate for the probability that the spi
kotykmax [81]

Answer:

Pete

Step-by-step explanation:

Given that:

Mandy's Estimate :

Number of spins , n = 20

Pete's Estimate:

Number of spins, n = 200

A good probability estimate is one which has narrow margin of error with a high degree of confidence. These two variables are affected by sample size.

A high sample size give a narrower margin of error and increases the confidence level probability

Based on the sample size used by each of Pete and Mandy, we can conclude that, Pete's probability estimate would be better due to its significantly higher sample size.

5 0
3 years ago
Simplify (x - y + 1) - (x + y - 1)
Naya [18.7K]
Well subtract the 'x' and 'y' .both are 1 .so its gonna be 1-1+1=1 and do the same with the other side which is gonna be 1 also .so its gonna be  1-1=0 .
4 0
3 years ago
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Five students were tested before and after taking a class to improve their study habits. They were given articles to read which
miskamm [114]

Answer:

The obtained value of the appropriate statistic is ____.

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{3.8 -0}{\frac{2.775}{\sqrt{5}}}=3.06  

d. 3.06

p_v =2*P(t_{(4)}>3.06) =0.0376  

d. reject H0; the class appeared to improve study habits

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations we can use it.  

Let put some notation  

x=before method , y = after method  

x: 10 12 14 16 12

y: 15 14 17 17 20

The system of hypothesis for this case are:  

Null hypothesis: \mu_y- \mu_x = 0  

Alternative hypothesis: \mu_y -\mu_x \neq 0  

The first step is define the difference d_i=y_i-x_i, that is given so we have:

d: 5,2,3,1,8

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}=3.8  

The third step would be calculate the standard deviation for the differences, and we got:  

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =2.775  

The fourth step is calculate the statistic given by :  

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{3.8 -0}{\frac{2.775}{\sqrt{5}}}=3.06  

The next step is calculate the degrees of freedom given by:  

df=n-1=5-1=4  

Now we can calculate the p value, since we have a two tailed test the p value is given by:  

p_v =2*P(t_{(4)}>3.06) =0.0376  

The p value is less than the significance level given \alpha=0.05, so then we can conclude that we reject the null hypothesis.

d. reject H0; the class appeared to improve study habits

4 0
3 years ago
Please help this is worth 15 points!
lozanna [386]

Answer:

It should be non proportional

Step-by-step explanation:

6 0
2 years ago
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