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4 years ago

Find the volume of the composite space figure.

Mathematics

1 answer:

Liono4ka [1.6K]4 years ago

4 0

Check the picture below

get the volume of each, sum them up, that's the volume of the figure

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Soft drinks cost $1.89 and refills cost $0.25 each. With $3.80 to spend on the soft drink and refills, what is the maximum numbe

sukhopar [10]

First of all Add $1.89+0.25

Step 2 $3.80÷2.14 =

4 0

3 years ago

Read 2 more answers

Simplify : (√ + √ ) (√ − √) ( + )( 2 + 2 )

jek_recluse [69]

$(\sqrt{x}+\sqrt{y})(\sqrt{x}-\sqrt{y})(x+y)(x^2+y^2)\\\\=[(\sqrt{x})^2-(\sqrt{y})^2](x+y)(x^2+y^2)\\\\=(x-y)(x+y)(x^2+y^2)\\\\=(x^2-y^2)(x^2+y^2)\\\\=(x^2)^2-(y^2)^2\\\\=x^4-y^4$

$Used:\\\\(\sqrt{a})^2=a\\\\(a-b)(a+b)=a^2-b^2\\\\(a^n)^m=a^{nm}$

6 0

3 years ago

A random variableX= {0, 1, 2, 3, ...} has cumulative distribution function.a) Calculate the probability that 3 ≤X≤ 5.b) Find the

olchik [2.2K]

Answer:

a) P ( 3 ≤X≤ 5 ) = 0.02619

b) E(X) = 1

Step-by-step explanation:

Given:

- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:

$F(X) = P ( X =< x) = 1 - \frac{1}{(x+1)*(x+2)}$

Find:

a.Calculate the probability that 3 ≤X≤ 5

b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that

Solution:

- The CDF gives the probability of (X < x) for any value of x. So to compute the P ( 3 ≤X≤ 5 ) we will set the limits.

$F(X) = P ( 3=$

- The Expected Value can be determined by sum to infinity of CDF:

E(X) = Σ ( 1 - F(X) )

$E(X) = \frac{1}{(x+1)*(x+2)} = \frac{1}{(x+1)} - \frac{1}{(x+2)} \\\\= \frac{1}{(1)} - \frac{1}{(2)}\\\\= \frac{1}{(2)} - \frac{1}{(3)} \\\\= \frac{1}{(3)} - \frac{1}{(4)}\\\\= ............................................\\\\= \frac{1}{(n)} - \frac{1}{(n+1)}\\\\= \frac{1}{(n+1)} - \frac{1}{(n+ 2)}$

E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]

E(X) = 1

8 0

3 years ago

WILL GIVE BRAINLIEST

rosijanka [135]

Answer:

increase

Step-by-step explanation:

Given data is: 71, 67, 67, 17, 69, 84, 21, 87

Arranging in ascending order we find: 17, 21, 67, 67, 69, 71, 84, 87

Here N = 8 (Even number)

N/2 = 4 and N/2 + 1 = 5

4th term = 67, 5th term = 69

-> median = Sum of 4th and 5th term/2 = (67 + 69)/2 = 132/2 = 66

Now, when one of the 67 is replaced by 71, the new data set in ascending order will be: 17, 21, 67, 69, 71, 71, 84, 87

Here, 4th term = 69, 5th term = 71

New median = (69 + 71)/2 = 140/2 = 70

-> new median > initial median

CONCLUSION: Median will increase if the number 71 replaced one of the 67's in the set.

5 0

2 years ago

Question 5 (1 point) 5 The Cool Shirts company prints personalized designs on T-shirts. The cost y for x shirts with the same de

Sergeeva-Olga [200]

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

6 0

3 years ago