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2 years ago

11

If it takes 2 nurses 2 minutes to measure the blood pressure of 2 patients, how long would it take 200 nurses to measure the blo

od pressure of 200 patients (in minutes)?

1 answer:

alexdok [17]2 years ago

8 0

It would take 200 minutes for 200 nurses to measure the blood pressure of 200 patients.

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Draw the number 24 then draw a quick picture to show 24 after you have to regrouped 1 ten as 10 ones explain how both pictures s

Vesnalui [34]

First draw 24 shapes of your choice.

Then, in a different space or below those 24 shapes, draw 10 more shapes twice. So draw 10 shapes and draw 10 more next to them. Finally, draw 4 more shapes with space between them and say "10+10+4=24"

6 0

1 year ago

Patty is building a rope ladder tree house she needs two 4 foot pieces of rope for the sides of the ladder she needs 6 pieces of

steposvetlana [31]

Answer:

15.5 feet

Step-by-step explanation:

Given:

Patty is building a rope ladder tree house she needs two 4 foot pieces of rope for the sides of the ladder.

She needs 6 pieces of rope each 15 inches long for the steps.

Question asked:

How many feet of rope does patty need to make the ladder ?

Solution:

She needs for the sides of the ladder = Two 4 foot pieces of rope

= 2 $\times$ 4 feet = 8 feet

She needs for the steps of the ladder = 6 pieces of 15 inches long rope

= 6 $\times$ 15 inches = 90 inches

Convert 90 inches into feet:-

12 inches = 1 feet

1 inches = $\frac{1}{12} \ feet$

90 inches = $\frac{1}{12} \times90=\frac{90}{12} =7.5\ feet$

Patty needs total rope = 8 feet + 7.5 feet

= 15.5 feet

Thus, Patty needs 15.5 feet of rope to make the ladder.

6 0

1 year ago

Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 303030 meters below the edg

Alex

Answer:

5m/s;

6 seconds

Step-by-step explanation:

Given the following :

Initial position = 30 m below

He climbed at a constant rate, and was 7.5 m below after 4.5 s.

Distance climbed or covered in 4.5 seconds :

(Initial position - current position)

(30 - 7. 5)m = 22.5 meters

Using the relation:

Speed = distance covered / time taken

Therefore,

Shota's speed = 22.5m / 4.5s = 5m/s

Time taken to reach edge of volcano :

Distance left to cover = 7.5m

Speed = 5m/s

Time required to cover remaining distance :

= distance / speed

= (7.5m ÷ 5m/s) = 1.5s

Total time to reach edge :

(4.5 + 1.5)s = 6 seconds

6 0

2 years ago

Randy presses RAND on his calculator twice to obtain two random numbers between 0 and 1. Let $p$ be the probability that these t

anygoal [31]

Answer:

$\frac{\pi}{4}$

Step-by-step explanation:

Lets call x,y the numbers we obtain from the calculator. x and y are independent random variables of uniform[0,1] distribution.

Lets note that, since both x and y are between 0 and 1, then 1 is the biggest side of the triangle.

Lets first make a geometric interpretation. If the triangle were to be rectangle, then the side of lenght 1 should be its hypotenuse, and therefore x and y should satisfy this property:

x²+y² = 1

Remember that in this case we are supposing the triangle to be rectangle. But the exercise asks us to obtain an obtuse triangle. For that we will need to increase the angle obtained by the sides of lenght x and y. We can do that by 'expanding' the triangle, but if we do that preserving the values of x and y, then the side of lenght 1 should increase its lenght, which we dont want to. Thus, if we expand the triangle then we should also reduce the value of x and/or y so that the side of lenght 1 could preserve its lenght. With this intuition we could deduce that

x²+y² < 1

Now lets do a more mathematical approach. According to the Cosine theorem, a triangle of three sides of lenght a,b,c satisfies

a² = b²+c² - 2bc* cos(α), where α is the angle between the sides of lenght b and c.

Aplying this formula to our triangle, we have that

$1^2 = x^2 + y^2 - 2bc* cos(\alpha)$ , where $\alpha$ is the angle between the sides of lenght x and y.

Since the triangle is obtuse, then $\pi/2 < \alpha < \pi$ , and for those values $cos(\alpha)$ is negative , hence we also obtain

1 > x² + y²

Thus, we need to calculate P(x²+y² <1). This probability can be calculated throught integration. We need to use polar coordinates.

(x, y) = (r*cosФ,r*senФ)

Where r is between 0 and 1, and Ф is between 0 and $\pi /2$ (that way, the numbers are positive).

The jacobian matrix has determinant r, therefore,

${\int\int}\limits_{x^2+y^2 < 1} \, dxdy = \int\limits^1_0\int\limits^{\frac{\pi}{2}}_0 {r} \, d\phi dr = \frac{\pi}{2} * \int\limits^1_0 {r} \, dr = \frac{\pi}{2} * (\frac{r^2}{2} |^1_0) = \frac{\pi}{4}$

As a conclusion, the probability of obtaining an obtuse triangle is $\frac{\pi}{4}$ .

6 0

1 year ago

Read 2 more answers

A clothing store is analyzing merchandise prices to help make decisions on what to charge for clothing on clearance. The store o

Aleks [24]

The variable is Quantitative, has Interval level of measurement.

Variables which can be quantified & expressed numerically are Quantitative variables. Eg : as given , price

Variables which cant be qualified & expressed numerically are Qualitative variables. Eg : level of honesty, loyalty etc

Nominal & Ordinal are qualitative variables : signifying yes or no to a category (like men or women) , or ranks (x better than y) respectively. So price level is not such categorical & ordinal ratio.

Quantitative ratio variables are with reference to time , or are in forms of rate (like speed , growth per year). So, price level is not such ratio variable also.

Price is a quantitative variable, in which the ranking, its difference can be calculated. This is characteristic of a <u>Quantitative Interval Variable</u>.

4 0

1 year ago