All categories

3 years ago

Insert four arithmetic meansof 10 and 20

Mathematics

1 answer:

Scrat [10]3 years ago

5 0

Answer:

Step-by-step explanation:

For n Arithmetic Means between two Numbers a & b the formula for xth Arithmetic Mean is:

Aₓ= a+ x(b-a)/(n+1)

Here; n=total means =4

a= 1st number=10

b=20, x= Number of mean

A₁= 10+1(20-10)/(4+1) = 10+10/5 = 10+2 = 12

A₂= 10+2(20-10)/(4+1) = 10+2(10)/5=10+4= 14

Now you can see that common difference is going on d=2 you can easliy 2 further to get A₃ & A₄ which will be 16 and 18 respectively.

You might be interested in

4 times the sum of 14 and 26

soldi70 [24.7K]

160
14+26= 40
4*40=160

7 0

3 years ago

The gratuity on a restaurant bill was $18. If a 20% tip was left, what was the original amount of the bill? To solve, use what e

quester [9]

Gratuity is the total tip given.

The tip is directly proportional to total cost:

18/0.20 = x/1.00

$90

4 0

4 years ago

Read 2 more answers

A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on

SVEN [57.7K]

Answer:

Step-by-step explanation:

Hello!

X: number of absences per tutorial per student over the past 5 years(percentage)

X≈N(μ;σ²)

You have to construct a 90% to estimate the population mean of the percentage of absences per tutorial of the students over the past 5 years.

The formula for the CI is:

X[bar] ± $Z_{1-\alpha /2}$ * $\frac{S}{\sqrt{n} }$

⇒ The population standard deviation is unknown and since the distribution is approximate, I'll use the estimation of the standard deviation in place of the population parameter.

Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 10.9 15.9 9.7 4.5 11.5 5.7 10.8 9.7 8.2 10.3 12.2 10.6 16.2 15.2 1.7 11.7 11.9 10.0 12.4

X[bar]= 10.41

S= 3.71

$Z_{1-\alpha /2}= Z_{0.95}= 1.645$

[10.41±1.645* $(\frac{3.71}{\sqrt{28} } )$ ]

[9.26; 11.56]

Using a confidence level of 90% you'd expect that the interval [9.26; 11.56]% contains the value of the population mean of the percentage of absences per tutorial of the students over the past 5 years.

I hope this helps!

7 0

4 years ago

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian

finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

$\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}$

Formula for probability of an event E is given as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For $P(\text{boy as pianist})$ , number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, $P(\text{boy as pianist})$ is:

$P(\text{boy as pianist}) = \dfrac{2}{5}$

For $P(\text{girl as alternate})$ , number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

$P(\text{girl as alternate}) = \dfrac{3}{4}$

So, the required probability is:

$\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}$

6 0

3 years ago

Help me please explain to me

In-s [12.5K]

The three really doesn't mean anything. the only thing the 3 stands for is how many times you have to multiply 0.25 . so in this situation you have to multiply 0.25 3 times.
this is how you do it when you get problems with exponents. this is the work /answer : 0.25×0.25×0.25=0.015625

3 0

4 years ago

Read 2 more answers

Insert four arithmetic meansof 10 and 20​

Insert four arithmetic meansof 10 and 20