All categories

3 years ago

A number divided by five is at least four

Mathematics

2 answers:

Mrrafil [7]3 years ago

7 0

Answer: 20

Step-by-step explanation: because you can divide 20 divided by 5 equals 4

tresset_1 [31]3 years ago

7 0

Answer:

x/5≥4

x≥20

Step-by-step explanation:

Multiply both sides by 5.

5x/5≥4*5

Simplify

x≥20

You might be interested in

At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a

morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = $\dfrac{15}{120}=0.125$

As we know the poisson process, we get that

$P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda$

So, for exactly one car would be

P(n=1) is given by

$=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599$

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

$0.2599\times 18=4.6798$

We will find the traffic flow q such that

$P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr$

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

$P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%$

Hence, a) 4.6798, and b) 19.8%.

7 0

3 years ago

Lee spent 1/3 of his money on a jacket then he spent 1/4 of he remainder on a skirt how much did his spend on the skirt and how

serg [7]

How is it possible to know how much he started with? Or is it not asking for an exact amount?

6 0

2 years ago

The original retail of a leather chair is listed at $121.40 and is discounted by 60% in a summer sale. What is the discount and

olga2289 [7]

Answer:48.56

Step-by-step explanation: 121.40-60%=

5 0

2 years ago

Can someone please help me with this question

zlopas [31]

Answer:

15 kilometers

Step-by-step explanation:

So we know:

For 4 days she runs 1500 meters each day.

For 3 days she runs 3 kilometers each day.

First off, lets convert 1500 meters into kilometers.

There are 1000 meters in a kilometer, so pluggin in 1500 meters:

1500/1000 = 1.5

So for 4 days she runs 1.5 kilometers each day.

Now, to find the total kilometers, we must find multiply the 1.5 kilometers by the 4 days, the 3 kilometers by the 3 days, then add those two together.

So lets do this:

1.5*4 = 6

So she ran 6 kilometers in the first 4 days.

Next we have:

3*3 = 9

So she ran 9 kilometers in the last 3 days.

Now finally add them together:

6 + 9 = 15

So she ran a total of 15 kilometers.

Hope this helps!

7 0

2 years ago

Solve the equation 6(3x + 4) = 4x -4.<br> 10<br> 7<br> 0x = -2<br> Ox=2

Tanzania [10]

-2 is the answer! Remove the parentheses then move the terms. After that, collect the terms and calculate. Lastly, divide both sides.

5 0

2 years ago