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Neko [114]
3 years ago
6

Ben rode his bike 3 miles today. Tomorrow he plans to ride 13 times as far. In this equation, n represents the number of miles B

en will ride tomorrow.
3 x 15 =n
How far will Ben ride tomorrow?
Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

Answer

n=45 miles

Step-by-step explanation:

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If you can purchase 5 pounds for $4, how many pounds can you purchase for $16? *
Julli [10]

Answer:

a. 20

Step-by-step explanation:

just multiply 5 and $4 by 4

8 0
3 years ago
The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with me
lisov135 [29]

Answer:

a) <u>0.4647</u>

b) <u>24.6 secs</u>

Step-by-step explanation:

Let T be interval between two successive barges

t(t) = λe^λt where t > 0

The mean of the exponential

E(T) = 1/λ

E(T) = 8

1/λ = 8

λ = 1/8

∴ t(t) = 1/8×e^-t/8   [ t > 0]

Now the probability we need

p[T<5] = ₀∫⁵ t(t) dt

=₀∫⁵ 1/8×e^-t/8 dt

= 1/8 ₀∫⁵ e^-t/8 dt

= 1/8 [ (e^-t/8) / -1/8 ]₀⁵

= - [ e^-t/8]₀⁵

= - [ e^-5/8 - 1 ]

= 1 - e^-5/8 = <u>0.4647</u>

Therefore the probability that the time interval between two successive barges is less than 5 minutes is <u>0.4647</u>

<u></u>

b)

Now we find t such that;

p[T>t] = 0.95

so

t_∫¹⁰ t(x) dx = 0.95

t_∫¹⁰ 1/8×e^-x/8 = 0.95

1/8 t_∫¹⁰ e^-x/8 dx = 0.95

1/8 [( e^-x/8 ) / - 1/8 ]¹⁰_t  = 0.95

- [ e^-x/8]¹⁰_t = 0.96

- [ 0 - e^-t/8 ] = 0.95

e^-t/8 = 0.95

take log of both sides

log (e^-t/8) = log (0.95)

-t/8 = In(0.95)

-t/8 = -0.0513

t = 8 × 0.0513

t = 0.4104 (min)

so we convert to seconds

t = 0.4104 × 60

t = <u>24.6 secs</u>

Therefore the time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t is <u>24.6 secs</u>

6 0
3 years ago
- 6a+7(-2a - 4)=???​
Vesnalui [34]

Answer:

-20a-28

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Question 15
Viefleur [7K]

Answer:

0.71

Step-by-step explanation:

1st attempt = \frac{14}{22} = 63%%

2nd attempt = \frac{22}{28} = 79%%

To get the average of something, find the sum of the numbers and then divided the sum by the total number of values there are.

⇒ 63 + 79 = 142

⇒ 142 / 2 = 71%  

⇒ 71% = .71

8 0
3 years ago
Which expressions are equivalent to 3 1/4
Zinaida [17]

Answer:

Look it up on google

Step-by-step explanation:

LOOK

IT

UP

ON

GOOGLE

8 0
3 years ago
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