Write the following expression using a single exponent.

afamily had dinner in a restaurant. If the cost of the cdinner was Rs. 2500, how much did the family pay with 10% service charge

yan [13]

Step-by-step explanation:

Find 10%:

100% = 2500

1% = 2500 divide 100

= 25

10% = 25 x 10 = 250

Find the 13% vat:

13% = 25 x 13 = 325

Find the total amount he got charged:

325 + 250 = 575

Total amount he had to pay for dinner + charges:

2500 + 575 = 3075

Answer: Rs. 3075

3 0

3 years ago

A function f is defined by f:x=3-2sinx for 0

Gala2k [10]

f(x) = 3 - 2sin(x)
0 = 3 - 2sin(x)
- 3 - 3
-3 = -2sin(x)
-2 -2
1¹/₂ = sin(x)
sin⁻¹(1¹/₂) = sin⁻¹[sin(x)]
sin⁻¹(1¹/₂) = x

5 0

3 years ago

"If the probability of an event is observed repeatedly during independent repetitions than the ratio of the observed to the tota

PIT_PIT [208]

Answer:

This is the Law of large Numbers.

Step-by-step explanation:

The Law of Large numbers states that as the sample size is increased the sample mean value gets closer to the population mean.

That is, as n → ∞ the value of $\bar x$ → μ.

For instance, the theoretical probability of getting a Heads in a toss of a coin is, 0.50.

To check this perform an experiment whether the coin is tossed 20 times.

The probability of heads will be somewhere near 0.50.

Now toss the coins 50 times.

The probability of heads will be now closer to 0.50.

Now toss the coins 100 times.

The probability of heads will be approximately equal to 0.50.

Thus, as the number of tosses was increased the probability of getting a head is closer tot he theoretical probability.

Thus, the complete statement is:

This is the Law of large Numbers.

3 0

3 years ago

Read 2 more answers

What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second.

Norma-Jean [14]

Answer:

1

Step-by-step explanation:

What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second?

3 consecutive angles

= x, x + 1, x + 2

We are told in the question that:

the sum of the first and third is equal to three times the second

a + c = 3b

x + x + 2 = 3(x + 1)

2x + 2 = 3x + 3

3x - 2x = 2 - 3

x = -1

The largest of the three numbers is the third number

= x + 2

x = -1

x + 2 = -1 + 2

The third and largest number is 1

4 0

2 years ago

a rectangular lawn of sides 400m and 300m is surrounded by a path of width 3 m . find the area of path

DiKsa [7]

Answer:

2109 meter squared

Step-by-step explanation:

$Area \: of \: path \\ = (400+3)(300+3)-400 \times 300 \\ = 403 \times 303 - 120000 \\ = 122,109 - 120000 \\ = 2109 \: {m}^{2}$

8 0

3 years ago