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denis-greek [22]
3 years ago
13

A bed is 2400 a discount of 25% was given on the

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

Answer:

800

Step-by-step explanation:

Given: The selling price of bed is 2400.

          Discount offered is 25%

Lets assume the cost of bed be "x"

Discount offered on the cost price of bed= \frac{25}{100} \times x= 0.25x

∴ Discount offered on the cost price of bed= 0.25x

We know the selling price of bed after discount provided.

Finding the cost price of the bed.

⇒ x-0.25x= 2400

⇒ 0.75x= 2400

cross multiplying both side.

∴ x= \frac{2400}{0.75} = 3200

∴ Cost price of the bed is 3200.

We know selling price of the bed is 2400.

Now, finding the saving.

Saving on the price of bed= Cost price- selling price

Saving= 3200-2400= 800

Hence, saving on the purchase of the bed is 800.

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Y= -3x - 1 for x= 5????
adell [148]

Answer:

y= -16

Step-by-step explanation:

Y= -3x - 1

Let x = 5

y = -3(5) -1

y = -15-1

y = -16

7 0
3 years ago
Read 2 more answers
Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the
Likurg_2 [28]

Answer:

(a)  moment generating function for X is \frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, P(X)=\frac{1}{6}

(a) Moment generating function can be written as M_{x}(t).

M_x(t)=\sum_{x=1}^{6} P(X=x)

M_{x}(t)=\frac{1}{6} e^{t}+\frac{1}{6} e^{2 t}+\frac{1}{6} e^{3 t}+\frac{1}{6} e^{4 t}+\frac{1}{6} e^{5 t}+\frac{1}{6} e^{6 t}

M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

(b) Now, find E(X) \text { and } E\((X^{2}) using moment generating function

M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)

M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)  

\Rightarrow E(X)=\frac{21}{6}

M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)

M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)

\Rightarrow E\left(X^{2}\right)=\frac{91}{6}  

Hence, (a) moment generating function for X is \frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right).

(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

6 0
4 years ago
A container in the shape of a rectangular prism has a base that measures 20 cm by 30 cm and has a height of 15 centimeters. The
lara [203]
Notice the picture below

the added water, will also be a rectangular prism, with a height of 2.5cm

4 0
4 years ago
If y varies inversely with x and y=2 when x=5, what is the value of x when y=3?
Nostrana [21]

Answer:

Step-by-step explanation:

Method

Inversely in this sentence means

y = k/x    

So you first step is to find the value of k. You do that by setting up an inverse relationship with y = 2 , x = 5

2 = k/5                     Multiply both sides by 5

2*5 = 5*k/5

10 = k

Now you are able to answer the question.

  • k = 10
  • y = 3
  • x = ?

y = 10/x

3= 10/x                      Multiply both sides by x

3*x = x * 10/x

3x = 10                      Divide both sides by 3

3x/3 = 10/3

x = 3.33 or x = 3 1/3

Answer

x = 3.33 or x = 3  1/3

8 0
2 years ago
Divide using long division.
elena55 [62]
You will get
3d-7- 8/d+3
5 0
3 years ago
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