Write -9.54 as a fraction in simplest form

MEDICAL MATH - <br><br> If y = 10 when x = 15, what is the value of y when x = 30?

Novosadov [1.4K]

It would be 20. All you need to do is multiply by 2.

3 0

3 years ago

I need answer on this problem tyt

tamaranim1 [39]

<h3>Speed of light:</h3>

$3.05 \times 10 ^{8} m/s$

<h3 /><h3>Seconds in a year:</h3>

$3.15 \times 10 ^{7}$

$\rule{300pt}{3pt}$

Multiply the speed of light with seconds in a year

*Note:- We will not change the values because speed of light is in m/s and the time is also given in seconds.

$\rule{300pt}{3pt}$

$3.08 \times 10 ^{8} \times 3.15 \times 10 ^{7}$

$(3.05 \times 3.15) \times (10 ^{8} \times 10 ^{7} )$

$9.4675 \times 10 ^{15}$

$\tt9.46 \: Trillion \: Kilometers$

3 0

2 years ago

Round 18.57631 to three decimal places.

iVinArrow [24]

❄ Hi there,

let us revise the rounding rules and then, get down to rounding the number.

$\sf{Rounding \ Rules:}$

If the number you need to round is followed by a number from 0 to 4, you round down.
If the number you need to round is followed by a number that's 5 or more, you round up.

Now we can start the rounding process.

Reading the problem & the directions, we notice that we need to round to 3 decimal places (3 numbers after the decimal point).

Looking at the fourth number, we notice that it's less than 5.

∴ we need to round down ↡

↬ $\sf{18.57631 \ rounded \ to \ 3 \ DP \ = \bf{18.576}}$

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

❄

3 0

2 years ago

About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil

Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

$P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}$

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

$P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}$

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

$P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}$

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0

3 years ago

Find the distance between the points (5, -3) and (0, 2).

ohaa [14]

Answer:

Distance between points (5, -3) and (0, 2) is √50 or 7.07

Step-by-step explanation:

We need to find distance between two points (5,-3) and (0,2)

The distance formula used is:

$d= \sqrt {\left( { x_2-x_1 } \right)^2 + \left( {y_2-y_1} \right)^2 }$

here

x₁= 5, y₁=-3, x₂=0 and y₂=2

Putting values in the formula:

$d= \sqrt {\left( {x_2-x_1} \right)^2 + \left( {y_2-y_1} \right)^2 }\\d= \sqrt {\left( {0-5} \right)^2 + \left( {2-(-3)} \right)^2 }\\d= \sqrt {\left( {-5} \right)^2 + \left( {2+3} \right)^2 }\\d= \sqrt {25+25}\\d= \sqrt {50}\\d= 7.07$

So, distance between points (5, -3) and (0, 2) is √50 or 7.07

7 0

3 years ago

Read 2 more answers