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attashe74 [19]
3 years ago
15

Jesse drank 3/4 of liter of water Monday before going jogging. He drank 3/5 of a liter of water after his jog. How much water di

d Jesse drink altogether? Write your answer as a mixed number.
Mathematics
1 answer:
charle [14.2K]3 years ago
8 0

Answer:

1\frac{7}{20}

Step-by-step explanation:

Step one

Given data

On  Monday, Jesse drank 3/4 of liter of water before jogging

and drank 3/5 of liter after jogging

In all, Jesse drank 3/4 and 3/5 liters of water

= 3/4+3/5

the lcm is 20

=15+12/20

=27/20

in mixed numbers(i.e a whole and a fraction together we have) we have

1\frac{7}{20}

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Police use a radar unit is used to measure speeds of cars on a freeway. The speeds are normally distributed with a mean of 90 km
vagabundo [1.1K]

Answer:

A. P(x≥100)=0.1587

B. P(x≤0)≈0

Step-by-step explanation:

A. Cause we know the distribution of the data, the method used to solve it is called "Normalization" and we need to have the Mean and the Standard deviation of the data. The method consist in the following equation

P(x≤a)=P( z=((x-μ)/σ) ≤ b=((a-μ)/σ) )

Considering <u>μ as the Mean</u> and <u>σ as the Standard deviation</u>. At first, we had a probability in the normal distribution with Mean=90 and STD=10 but <u>that kind of exercises is not meant to find that probability directly but by using this process</u>.

After we normalize the probability, now <u>we have a probability in a specific normal distribution that has Mean=0 and STD=1 and the difference with what we had before is that now we are able to use tools to find probabilities in a normal standard distribution</u>. My favorite of them is a chart that show the approximate values of a lot of probabilities (i attached it to this answer). I´m going to explain point A as an example:

We look for the probability that P(x≥100), but we don´t have an easy method to use there, so we normalize:

P(x≥100)=P( (x-μ)/σ ≥ (100-μ)/σ )

P(x≥100)=P( z ≥ (100-90)/10 )

P(x≥100)=P( z ≥ 1 )

And now we are able to use the chart, let me explain: First, the chart only works with P(z ≤ b), so we have to change it with properties of probabilities before using the table.

P(z≥1)=1-P(z≤1)

And finally we use the chart:

<u>the value of P(z≤1) is in the table, we look for the row with +1 and the column with the decimal part (in this case 0) and with coordinates (1,0) there´s the value</u>:

P(z≤1)=0.8413

But we need P(z≥1) so we use the previous equality

P(z≥1)=1-P(z≤1)

P(z≥1)=1-0.8413

P(z≥1)=0.1587

Because P(x≥100)=P(z≥1), our final answer is 0.1587

B. We use the same process to try to understand what the probability of P(x≤0) represents.

P(x≤0)=P(z≤ (0-90)/10)

P(x≤0)=P( z ≤ -9 )

But when we try to look for its value in the chart It isn´t even there, what could it mean?

<u>A normal distribution function is always increasing</u>, that means that "a≤b if and only if P(x≤a) ≤ P(x≤b)". so we conclude:

P(z≤-9) ≤ P(z≤-3) (The lowest probability in the chart)

P(z≤-9) ≤ 0.0013

P(z≤-9) is way lower than 0.0013 (they aren´t even close) but we know that probability is always positive,  and because of that:

P(x≤0)=P(z≤-9)≈0

5 0
3 years ago
Graph of the figure after the indicated translation
Arlecino [84]

After the translation performed J is now (-2,-2), M is now (-1,-4), K is now (4,1), and L is now (5,-1).

Hope this helps!

6 0
3 years ago
What is the greatest common factor of 4-6a
strojnjashka [21]

Answer:

The GFC of 5 and 6 is 2.

Step-by-step explanation:

Hope this helps :))

8 0
3 years ago
What is the average rate of change for the function over the interval (-6,-4)
kozerog [31]

Answer:

i believe it is -4 1/3 i may be wrong

Step-by-step explanation:

difficult, let me see....

1st slope:-4

2nd slope:4/6

3rd slope:-3

-2+4/7-3=-5+4/6=-4 2/6=

-4 1/3

5 0
2 years ago
Three schools are located at points A, B, and C. The school district wants to locate its new stadium at a location that will be
dangina [55]

I have attached the image showing the location of the three schools.

Answer:

Should be built at the centroid of the triangle formed by points A, B and C.

Step-by-step explanation:

From the attached image, we see that if we join the 3 points by a straight line, they will form a triangle.

Now, to get a location that will be roughly the same distance from all 3 schools, it means a point that is equal to each of 3 vertex of the triangle.

The point that is equal to each vertex of a triangle is known as "Centroid".

Now, to find this centroid, we will add up the (x, y) coordinates of the 3 vertex and divide by 3.

For example;let's assume ;A has a coordinate of (x1, y1) ; B has a coordinate of (x2, y2) ; C has a coordinate of (x3, y3).

The coordinates of the centroid will be;

[(x1 + x2 + x3)/3], [(y1 + y2 + y3)/3]

7 0
3 years ago
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