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olganol [36]
3 years ago
15

Monique ran in a 5- kilometer race. How many maters did Monique run?

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0
Answer:5000
Multiply the length value by 1000
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A store finds that its sales revenue changes at a rate given by S'(t) = −30t2 + 420t dollars per day where t is the number of da
allochka39001 [22]

Answer:

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation S'(t)= -30t^{2} + 420t. The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

\int\limits {S'(t)} \, dt = \int\limits ({-30t^{2}+420t }) \, dt \\S(t) = \frac{-30t^{3} }{3}+\frac{420t^{2} }{2}\\  S(t)= -10t^{3} +210t^{2} \\

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

Given\ S(t) = -10t^{3} + 210t^{2}

S(0) = -10(0)^{3} + 210(0)^{2}\\S(0) = 0\\S(7) = -10(7)^{3} + 210(7)^{2}\\S(7) = -3430+10,290\\S(7) = 6,860

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

S(14) = -10(14)^{3} + 210(14)^{2}\\S(14) = -27,440+41,160\\S(14) = 13,720

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

8 0
3 years ago
1) What is Function Notions?
Debora [2.8K]
 function notation is the way a function is written. It is meant to be a precise way of giving information about the function without a rather lengthy written explanation.
4 0
3 years ago
Read 2 more answers
Help me with this question please
notka56 [123]
The answer is C, 6 x 4 = 24!
5 0
3 years ago
Tom’s total payment for his loan was $14,256 he paid it off at making 48 monthly payments what was his monthly payment
iragen [17]

Answer:

The monthly payments = $ 297

Step-by-step explanation:

It is given that,Tom’s total payment for his loan was $14,256 he paid it off at making 48 monthly payments

<u>To find the monthly payments</u>

we have,

Total payment = $14256

Number of monthly  payments = 48

Monthly payments = 14256/48 = 297

Therefore Tom's monthly payments  of his loan = $ 297

6 0
3 years ago
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Evgen [1.6K]

Answer:

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.

b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.

About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.6619.

p=X/n=370/559=0.6619

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02

The critical z-value for a 90% confidence interval is z=1.6449.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.6449 \cdot 0.02=0.0329

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.6619-0.0329=0.6290\\\\UL=p+z \cdot \sigma_p = 0.6619+0.0329=0.6948

The 90% confidence interval for the population proportion is (0.6290, 0.6948).

3 0
3 years ago
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