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Juli2301 [7.4K]
4 years ago
5

Which equation best shows that 30 is a multiple of 10

Mathematics
1 answer:
Dmitriy789 [7]4 years ago
4 0

Answer:

30=10×3

Step-by-step explanation:

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In Quebec, 90 percent of the population subscribes to the Roman Catholic religion. In a random sample of eight Quebecois, find t
AysviL [449]

Answer:

Probability that the sample contains at least five Roman Catholics = 0.995 .

Step-by-step explanation:

We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.

The Binomial distribution probability is given by;

 P(X = r) = \binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,.......

Here, n = number of trials which is 8 in our case

         r = no. of success which is at least 5 in our case

         p = probability of success which is probability of Roman Catholic of

                 0.90 in our case

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= \binom{8}{5}0.9^{5}(1-0.9)^{8-5} + \binom{8}{6}0.9^{6}(1-0.9)^{8-6} + \binom{8}{7}0.9^{7}(1-0.9)^{8-7} + \binom{8}{8}0.9^{8}(1-0.9)^{8-8}

= 56 * 0.9^{5} * (0.1)^{3} + 28 * 0.9^{6} * (0.1)^{2} + 8 * 0.9^{7} * (0.1)^{1} + 1 * 0.9^{8}

= 0.995

Therefore, probability that the sample contains at least five Roman Catholics is 0.995.

3 0
3 years ago
In Jamie's class, 1/5 of the students are boys. What percent of the students in Jamie’s class are boys?
Cloud [144]

Answer:

The percentage of boys students in Jamie's class is 20 %

Step-by-step explanation:

Given as :

The total number of boys in the Jamie's class = \frac{1}{5} of the total student

Let the total number of student's in the class = x

So, The number of boys =  \frac{1}{5} × x

I.e The number of boys =  \dfrac{x}{5}

So , in percentage the number of boys students in class = \dfrac{\textrm Total number of boy student}{\textrm Total number of students} × 100

OR, % boys students = \dfrac{\dfrac{x}{5}}{x} × 100

or, % boys students = \frac{100}{5}

∴ % boys students = 20

Hence The percentage of boys students in Jamie's class is 20 %  . Answer

7 0
3 years ago
Read 2 more answers
PLEASE HELPPPPPPP
Fed [463]

Answer:

Molar mass = 254.60g/mol

Step-by-step explanation:

Mass = 8.02g

Volume = 812mL = 0.812L

Pressure (P) = 0.967atm

Temperature of the gas = 30°C = (30 + 273.15)K = 303.15K

Molecular weight = ?

To solve this question, we'll have to use ideal gas equation, PV = nRT

P = pressure of the gas

V = volume of the gas

n = number of moles of the gas

R = ideal gas constant = 0.082J/mol.K

T = temperature of the gas

PV = nRT

n = PV / RT

n = (0.967 * 0.812) / (0.082 * 303.15)

n = 0.7852 / 24.8583

n = 0.0315 moles

Number of moles = mass / molarmass

Molarmass = mass / number of moles

Molar mass = 8.02 / 0.0315

Molar mass = 254.60g/mol

The molar mass of the gas is 254.60g/mol

3 0
3 years ago
Which of the following segments is a radius of 0?​
erastovalidia [21]
Not sure i remember this but i think radius is like half of the diameter. it’s a line from the center, to a side of the circle. in this situation, line RO would be representing the radius.

answer: D, line RO
hope this helps :)
8 0
3 years ago
Read 2 more answers
10 Adoya deposited sh 4000 for 2 years in a bank which paid 122% p.a. simple interest. What interest did he get after two years?
olga nikolaevna [1]

Answer:

9760

Step-by-step explanation:

Interest=((P.A.)*(Interest Rate)*(Time))/100

Interest=(4000*122*2)/100

Interest=9760

5 0
3 years ago
Read 2 more answers
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