We have 8 instances of "3" showing up out of 25 total rolls, which is where the fraction 8/25 comes from. Use your calculator to find that 8/25 = 0.32. Or you could multiply top and bottom of 8/25 by 4 to get 32/100 = 0.32 = 32%

5 0

3 years ago

5/3 rewrite fraction with a denominator of 12

abruzzese [7]

Answer: 20/12

Step-by-step explanation: In order to get a 12 in the denominator

of 5/3, we multiply top and bottom of 5/3 by 4 to get 20/12.

So 20/12 is an equivalent fraction.

6 0

3 years ago

Solve the system.

Alex777 [14]

Answer:

{x,y,z} = {-18,4,2}

Step-by-step explanation:

Solve equation [2] for the variable x

x = -10y + 2z + 18

Plug this in for variable x in equation [1]

(-10y+2z+18) + 9y + z = 20

- y + 3z = 2

Plug this in for variable x in equation [3]

3•(-10y+2z+18) + 27y + 2z = 58

- 3y + 8z = 4

Solve equation [1] for the variable y

y = 3z - 2

Plug this in for variable y in equation [3]

- 3•(3z-2) + 8z = 4

- z = -2

Solve equation [3] for the variable z

z = 2

By now we know this much :

x = -10y+2z+18

y = 3z-2

z = 2

Use the z value to solve for y

y = 3(2)-2 = 4

Use the y and z values to solve for x

x = -10(4)+2(2)+18 = -18

6 0

2 years ago

A random sample of 85 group leaders, supervisors, and similar personnel revealed that a person spent an average 6.5 years on the

strojnjashka [21]

Answer:

95% of confidence interval for the Population

( 6.1386 , 6.8614)

Step-by-step explanation:

Step( i ):-

Given random sample size 'n' =85

Mean of the sample size x⁻ = 6.5 years

Standard deviation of Population = 1.7 years

Level of significance = 0.95 or 0.05

Step(ii):-

95% of confidence interval for the Population is determined by

$(x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} })$

$(6.5 - 1.96\frac{1.7}{\sqrt{85} } , 6.5 + 1.96 \frac{1.7}{\sqrt{85} })$

( 6.5 - 0.3614 , 6.5 + 0.3614 )

( 6.1386 , 6.8614)

Conclusion:-

95% of confidence interval for the Population

( 6.1386 , 6.8614)

8 0

4 years ago