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2 years ago

Please helpppp meee

Mathematics

1 answer:

Brrunno [24]2 years ago

8 0

Answer:

$\frac{20}{7}$ hours per day

Step-by-step explanation:

Given,

Distance = 192 miles

Rate = 9.6 miles per hour

Lets find her total time of riding by using Distance Formula ( D = RT ).

D = RT

192 = 9.6T

T = 192/9.6

T = 20 hours

Total time she needs to meet goals is 20 hours.

There are 7 days in a week and she plans to ride same hours each day, so that will be:

20/7 hours per day

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Ask Your Teacher Consider a binomial random variable with n = 5 and p = 0.8. Let x be the number of successes in the sample. Eva

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Answer:

0.942 is the required probability.

Step-by-step explanation:

We are given the following in the question:

x is a binomial random variable with n = 5 and p = 0.8.

Then,

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

We have to evaluate:

$P(x \geq 3) = P(x = 3) + P(x = 4) +P(x=5)\\\\= \binom{5}{3}(0.8)^3(1-0.8)^2 +\binom{5}{4}(0.8)^4(1-0.8)^1 +\binom{5}{5}(0.8)^5(1-0.8)^0\\\\= 0.2048 +0.4096+0.3276=0.942$

0.942 is the required probability.

4 0

2 years ago

Plese help i need the answer

Sladkaya [172]

Using linear function concepts, it is found that:

a) The initial value is of 3 and the rate of change is of 20.

b) The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and also can be considered as the initial value.

In this problem, the function that gives the charge C for renting a bicycle for h hours is:

$C(h) = 3h + 20$

Item a:

Comparing to the standard function, we have that:

The initial value is of 3 and the rate of change is of 20.

Item b:

The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.

You can learn more about linear function concepts at brainly.com/question/24808124

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2 years ago

How to find the least common denominator with fractions?

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Find out what the lowest number is that each of the numbers on the bottom of the fractions can divide into evenly.

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2 years ago

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1. You owe $2,348.62 on a credit card with an 8.75% APR. You pay $300.00 toward the card at the beginning of the month and anoth

satela [25.4K]

Part 1:

After payment of $300, remaining balance = $2,348.62 - $300 = $2,048.62.
Interest accrued is given by:

$I=Prt \\ \\ =2,048.62\times0.0875\times \frac{1}{12} \\ \\ =\$14.94$

Had it been $600 was paid, remaining balance = $2,348.62 - $600 = $1748.62. Interest accrued is given by:

$I=1,748.62\times0.0875\times \frac{1}{12} \\ \\ =$12.75$

Difference in interest accrued = $14.94 - $12.75 = $2.19

Part 2:

The present value of an annuity is given by:

$PV= \frac{P\left[1-\left(1+ \frac{r}{12} \right)^{-12n}\right]}{ \frac{r}{12} }$

Where PV is the amount to be repaid, P is the equal monthly payment, r is the annual interest rate and n is the number of years.

Thus,

$2348.62= \frac{600\left[1-\left(1+ \frac{0.0875}{12}\right)^{-12n}\right]}{\frac{0.0875}{12}} \\ \\ \Rightarrow 1-(1+0.007292)^{-12n}= \frac{2348.62\times0.0875}{12\times600} =0.028542 \\ \\ \Rightarrow(1.007292)^{-12n}=1-0.028542=0.971458 \\ \\ \Rightarrow \log(1.007292)^{-12n}=\log0.971458 \\ \\ \Rightarrow-12n\log1.007292=\log0.971458 \\ \\ \Rightarrow-12n= \frac{\log0.971458}{\log1.007292} =-3.985559 \\ \\ \Rightarrow n= \frac{-3.985559}{-12} =0.332130$

Therefore, the number of months it will take to pay of the debt is 3.99 months which is approximately 4 months.

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yarga [219]

Answer:

This may be y=mx+b

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