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GaryK [48]
1 year ago
14

Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break duri

ng her ride. So, d(4) = . This means that after , Joanna .
Mathematics
1 answer:
finlep [7]1 year ago
5 0

Answer:

68

Step-by-step explanation:

Total mile cycled, d(t) ;

d(t) = 12t + 20

At d(4)

t = 4 ;

We have;

d(4) = 12(4) + 20

d(4) = 48 + 20

d(4) = 68

After, 4 hours of cycling, Joanna cycled a total distance of 68 miles

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Lou started his savings account with 50$ he now only has 31$. What percent of change did his savings account have?
vladimir1956 [14]

Answer:

Step-by-step explanation:

50 - 31 = 19

38%

4 0
1 year ago
According to a 2014 research study of national student engagement in the U.S., the average college student spends 17 hours per w
Nadusha1986 [10]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 17

For the alternative hypothesis,

µ < 17

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 80,

Degrees of freedom, df = n - 1 = 80 - 1 = 79

t = (x - µ)/(s/√n)

Where

x = sample mean = 15.6

µ = population mean = 17

s = samples standard deviation = 4.5

t = (15.6 - 17)/(4.5/√80) = - 2.78

We would determine the p value using the t test calculator. It becomes

p = 0.0034

Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.

The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.

4 0
2 years ago
Jane is going to walk once around the edge of a rectangular park. The park is 300 yards long and 200 feet wide. How far will Jan
vova2212 [387]
Jane will walk 2200 feet 
4 0
2 years ago
Read 2 more answers
Michael invests USD 20 000 at 9.6% p.a. compounded monthly.
alexandr1967 [171]

Given :

A = 25000

P = 20000

r % = 9.6 % = 0.096

n = 12

To Find :

The time taken say t.

Solution :

We know, compound interest is given by :

A=P(1+\dfrac{r}{n})^{n.t}

Taking log both sides :

A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years

Hence, this is the required solution.

5 0
2 years ago
A certain airplane has two independent alternators to provide electrical power. the probability that a given alternator will fai
Bess [88]
P(fail)=p=0.045
Given the two alternators are independent.

(A)P(Both fail) = 0.045^2= 0.002025
(B)P(None fails) = (1-0.045)^2=0.912025
(C)P(at least one fails)
=1-P(non fails)
=1-0.912025
=0.087975
8 0
1 year ago
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