All categories

2 years ago

The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.

Mathematics

1 answer:

mr_godi [17]2 years ago

5 0

$|\Omega|=10+6+4+8+6+6=40\\ |A|=10+6=16\\\\ P(A)=\dfrac{16}{40}=\dfrac{2}{5}=40\%$

You might be interested in

Which is bigger 600 km or 5 m

Lina20 [59]

600 km=600,000 m
So 600km is bigger than 5 m

7 0

3 years ago

Read 2 more answers

Find the value of x. Then find the measure of each labeled angle.<br> (9x - 10)<br> (5x + 38)

omeli [17]

Answer:

x=12 and

(9*12)-10=98

(5*12)+38=98

both angles are = 98

Step-by-step explanation:

do this :

9x - 10 = 5x + 38

( - 5x from both sides)

4x - 10 = 38

(add 10 to both sides)

4x = 38+10

4x=48

(divide by 4)

x=48/4

= 12

substitute into the equations:

(9*12)-10

(5*12)+38

3 0

2 years ago

There are 7 Democrats and 6 Republicans on a local city council. A planning committee of 6 for affordable housing needs to be

Brut [27]

Answer:

The probability is $0.383$ .

Step-by-step explanation:

There are 7 democrats and 6 republicans

Number of ways in which 4 democrats and 2 republicans can be selected= ${}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}$

Number of ways in which 5 democrats and 1 republican can be selected= ${}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}$

Number of ways in which 6 democrats can be selected = ${}^{7}{{C}_{6}}$

So, favourable outcomes are ${}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}$

Total possible outcomes = ${}^{13}{{C}_{6}}$

Now, probability= $\frac{Favourable}{Possible}=\frac{{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}}{{}^{13}{{C}_{6}}}=0.383$

Learn more about probability:

brainly.com/question/2561151?referrer=searchResults

7 0

2 years ago

A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive

worty [1.4K]

Answer: 65.1 (mg)

Step-by-step explanation:

$y=190*e^{-a*t}\\\\Calculate\ a:\\\\t=33,y=95(mg)\\\\190*e^{-a*33}=95\\\\e^{-a*33}=0.5\\\\-a*33=ln(0.5)\\\\a=\dfrac{ln(\dfrac{1}{2}) }{-33} \\\\a=0,02100... \approx{0.021}\\\\If\ t=51\ h, y=190*e^{-0.02100*51}=65.09167...\approx{65.1}$

6 0

2 years ago

What’s -3 + 6k + 11k - 10

leva [86]

Step-by-step explanation:

-3+6k+11k-10-9y+5x-y-13x

-13+17k-10y-8x

-5x+6x-9x+5xy

-8x+5xy

8 0

2 years ago