2( 5/3 + 3/4 ) − 4/3

Answer:

Step-by-step explanation:

the n number of value of x

[tex] \displaystyle x_{1},x _{2} \dots x_{n}[/tex]

let it be

[tex] \displaystyle x_{1} = x _{2} = x_{3}{\dots }= x_{n} = a[/tex]

now, the A.M of x is

[tex] \rm \displaystyle \: A.M = \frac{ x_{1} + x_{2} + \dots \dots \: + x_{n} }{n} [/tex]

since every value equal to a

substitute:

[tex] \rm \displaystyle \: A.M = \frac{ a + a + \dots \dots \: + a}{n} [/tex]

[tex] \rm \displaystyle \: A.M = \frac{ na}{n} [/tex]

reduce fraction:

[tex] \rm \displaystyle \: A.M = a[/tex]

the G.M of x is

[tex] \rm\displaystyle \: G.M =( x_{1} \times x _{2} {\dots }\times x_{n} {)}^{ {1}^{}/ {n}^{} } [/tex]

since every value equal to a

substitute:

[tex] \rm\displaystyle \: G.M =( a \times a{\dots }\times a{)}^{ {1}^{}/ {n}^{} } [/tex]

recall law of exponent:

[tex] \rm\displaystyle \: G.M =( {a}^{n} {)}^{ {1}^{}/ {n}^{} } [/tex]

recall law of exponent:

[tex] \rm\displaystyle \: G.M = a[/tex]

the H.M of x is

[tex] \displaystyle \: H.M = \frac{n}{ \frac{1}{ x_{1}} + \frac{1}{ x_{2} } {\dots } \: { \dots}\frac{1}{x _{n} } } [/tex]

since every value equal to a

substitute:

[tex] \displaystyle \: H.M = \frac{n}{ \frac{1}{ a} + \frac{1}{ a } {\dots } \: { \dots}\frac{1}{a } } [/tex]

[tex] \displaystyle \: H.M = \frac{n}{ \dfrac{n}{a} } [/tex]

simplify complex fraction:

[tex] \displaystyle \: H.M = n \times \frac{a}{n} [/tex]

[tex] \displaystyle \: H.M = a \: [/tex]

so

[tex] \displaystyle \: A.M = G.M = H.M = a[/tex]

hence,

[tex]\text{Proven}[/tex]

Answer:

Answer: 8.7

Step-by-step explanation:

Make x the subject

x = 360.18/ 41.4

x= 8.7

Answer:

16.477

Step-by-step explanation:

((6.6×10^17)−(9.2×10^14))/(4×10^16)

(6600x10^14 - 9.2x10^14)/(4x10^16)

(6590.8x10^14)/(4x10^16)

1647.7x10^-2

16.477

12+85% is $22.20

80%x12=9.6

5%x12=0.6

9.6+0.6=10.2

12+10.2=22.20

 Answer: $22.20  

Answer:

3/8

Step-by-step explanation:

125+75= 200

75:200= 3/8

3/8 is  the ratio of the number of geese to the total number of birds in the simplest form.

Answer:

x = 3, 2

Step-by-step explanation:

Answer: x = 3, 2

Step-by-step explanation:

answer:

Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?

45 %

The percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%

From the chart (table), we have the following rates in Germany:

The percentage change is then calculated using:

Percentage change= (Final - Initial)/Initial * 100%

This gives

Percentage change= (39.74 - 27.42)/27.42* 100%

Evaluate the quotient

Percentage change= 0.45* 100%

Evaluate the product

Percentage change= 45%

Hence, the percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%

Read more about percentage change at:

https://brainly.com/question/978738

Answer:

A = -2.3

Step-by-step explanation:

Answer:

Let the total charge is y, the number of small arrangements is x.

Total charge will be:

Total charge will be:

Since the total charge is same in both shops, we have:

Solve for x:

Total cost is:

Small arrangements = 3, cost = $86

Answer:

Unbiased

Step-by-step explanation:

If b^ is equal to B this means that it is an unbiased estimator. When there is an absence of bias, we have an unbiased estimator. As an unbiased estimator it gives accurate information most of the time. The result it gives is not over estimated and also it is not underestimated.

Expected value = true value

Parameter estimates are correct on average

Thank you

Answer:

B its B

Step-by-step explanation:

Answer:

I believe the answer is 4.943 :)

Step-by-step explanation:

82.162-77.219= 04.943

Answer:

The distance would 13 square units

Step-by-step explanation:

Well follow the formula

=√(2−1)^2+(2−1)^2

Plug in everything and solve, remeber to follow order of operations

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

Answer:

D<28

Step-by-step explanation:

The required inequality for the given situation can be, d > 28 or d < 28

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, write an inequality for the situation.

Situation :-

A number of days, d, of sunshine is not 28.

Here, the number of days is said to be not equal to 28, we are not given if is less or more,

It can be less or more than 28 but not 28

So, here we get two situations,

Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.

If we write these situations, mathematically, the inequalities we will have, are :-

1) The number of days, d, of sunshine is less than 28 :-

d < 28

2) The number of days, d, of sunshine is more than 28 :-

d > 28

Therefore, the two inequalities, are :- d < 28 or d > 28

Hence, the required inequality for the given situation can be, d > 28 or d < 28

Learn more about Inequalities, click;

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The complete question is :-

Write an inequality for the situation.

A number of days, d, of sunshine is not 28 .

Given:

An archer hits a target 50% of the time.

To find:

The experimental probability that the archer hits the target exactly four of the next five times.

Solution:

It is given that an archer hits a target 50% of the time. It means the probability of hitting the target is

[tex]p=\dfrac{50}{100}[/tex]

[tex]p=0.5[/tex]

The probability of not hitting the target is

[tex]q=1-p[/tex]

[tex]q=1-0.5[/tex]

[tex]q=0.5[/tex]

Binomial distribution formula:

[tex]P(x=r)=^nC_rp^rq^{n-r}[/tex]

We need to find the probability that the archer hits the target exactly four of the next five times. So, [tex]n=5,r=4,p=0.5,q=0.5[/tex].

[tex]P(x=4)=^5C_4(0.5)^4(0.5)^{5-4}[/tex]

[tex]P(x=4)=\dfrac{5!}{4!(5-4)!}(0.5)^4(0.5)^{1}[/tex]

[tex]P(x=4)=5(0.5)^{5}[/tex]

[tex]P(x=4)=0.15625[/tex]

Therefore, the experimental probability that the archer hits the target exactly four of the next five times is 0.15625.

Answer:

Step-by-step explanation:

Remark

The ratio should be 10 : 19

Given

Flag Ratio: 225 : 505

Break the dimensions into  prime factors.

225: 15 * 15 = 3*5 * 3*5

505: 5 * 101

Conclusion

101 is prime so this dimension cannot be broken down any further

The fives cancel out. The dimensions of this flag are in the ratio of 45/101 which is 0.4455

10/19 = 0.5263

I would say this is reasonably close.

Answer:

the answer is A.

Step-by-step explanation:

Answer:

x=-20

Step-by-step explanation:

3x+178=6x+238

-3x=60

x=-20

Answer:

ZX

Step-by-step explanation:

Answer: Cup-$14, Saucer-$6.5

Step-by-step explanation:

Given

Cup and saucer costs $20.5

A cup and two saucer costs $27

Assume the price of cup and saucer are x and y

So, we can write

[tex]\Rightarrow x+y=20.5\quad \ldots(i)\\\\\Rightarrow x+2y=27\quad \ldots(ii)[/tex]

Solving [tex](i)\ \text{and}\ (ii)[/tex] we get

[tex]x=\$\ 14, y=\$\ 6.5[/tex]

Thus, the cost of the cup is $14 and that of the saucer is $6.5

9514 1404 393

Answer:

  AB = [[-6, -1][-4, 6][-15, 10]]

Step-by-step explanation:

Any of a number of on-line, spreadsheet, or calculator tools will find the matrix product for you.

The input and output of one such tool is shown below.

__

As you know, each term in the product matrix is the sum of products of a row in the left matrix and a column in the right matrix. The coordinates of that row and column are the coordinates of the result in the product matrix.

For example, row 2, column 1 of the product matrix is the sum of products ...

  (4)(-3) +(-2)(-4) = -12 +8 = -4 . . . . row 2, column 1 of the result

Answer:

x = 20

y = 7.2

Step-by-step explanation:

12/x = 9/15

9x = 180

x = 20

12/x= y/12

12/20 = y/12

144 = 20y

y = 7.2

y = 20

Answer:

no it does not show a fucntion

Answer: 2/^3/5

Step-by-step explanation:

Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hours. The fraction represents Maria’s speed in miles per hour is 2 /^3/5. The correct option is d.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction.

The type of fractions are:

Here, Maria paddled 2 mile (distance). The time is 3/5 hours (time).

The fraction is speed = distance/time

2 mile / 3/5

Therefore, the correct option is d. 2 /^3/5.

To learn more about fractions, refer to the below link:

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Answer:

75 meters²

Step-by-step explanation:

4 cm= 5 m

12 cm= 15 m

15×5=75

Area of Patio=75 m²

2(3a + 5) + 8(a - 1)

= 6a + 10 + 8a - 8

= 6a + 8a + 10 - 8

= 14a + 2

Answer:

a. 19 Questions

b. No, Collins grade was 81%, or B-minus :(

Step-by-step explanation:

There are 21 questions in total on the test. Collin wants a 90 percent at least. If you multiply 21 by 90 percent (as below), you will get 18.9

[tex]21 * .9\\=18.9[/tex]

Of course, you can't get 18.9 questions right (unless you're teacher gives .9 extra points lol, So we need to round UP to a whole number (don't round down because it'll give you a number lower than what 90 percent would equate to.

And, Collin got 17 questions right. That's equivalent to 81 percent of 21 (as below).

[tex]17 / 21\\=.8095[/tex]

This rounds to about 81%, meaning Collin did not reach his goal :(. Oh well, he'll just have to try harder next time!

Have a nice day, fam.

Answer: 1047.2

Step-by-step explanation:

V=(4/3)(pi)(r^3)

V=(4/3)(pi)(5^3)

=523.6

Since there are 2 pinatas, you multiply 523.6 by 2.

=1047.2