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anygoal [31]
3 years ago
13

Which expression represents the volume of this solid ?

Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0
20x30x27 volume is length x width x height
Leno4ka [110]3 years ago
6 0

Answer:

As shown in picture, here is a triangular pyramid whose volume is calculated by:

V = (1/3) x base area x height

  = (1/3) x 20 x 30 x (1/2) x 27

  = (20 x 30 x 27)/(2 x 3)

Hope this helps!

:)

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Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, connuing un
jonny [76]

Answer:

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

Step-by-step explanation:

It is said that Actuary Rahul examines a low risk policy

Probability of a low risk policy having a claim = 10% = 0.1

Actuary Toby examines high risk policy

Probability of a high risk policy having a claim = 20% = 0.2

Let the number of policies examined by actuary Rahul before he finds a claim and stop be n

Probability that actuary Rahul examines exactly n policies =  0.9^{n-1} (0.1)

Probability that Toby examines more than n policies = 0.8^n

Since the claim statuses of policies are mutually independent, the probability that both events happen simultaneously = 0.9^{n-1} (0.1) (0.8)^n

probability that both events happen simultaneously = \frac{0.1}{0.9} (0.72^{n})

The probability that Actuary Rahul examines fewer policies that Actuary Toby = \sum\limits^ \infty_1 {\frac{0.1}{0.9} 0.72^{n} } = \frac{1}{9}\sum\limits^ \infty_1 { 0.72^{n} } = \frac{1}{9} (\frac{0.72}{1-0.72} ) = \frac{1}{9} (\frac{0.72}{0.28} )

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

5 0
3 years ago
How do I solve this problem step by step
Aleks04 [339]

Answer:

9 square root of 7

Step-by-step explanation:

You’re going to break apart radical 28 into square root of 4 and square root of 7.

The square root of 4 is 2 so you add the 2 to the 3 and it equals 5 and since the square root of 7 can’t be simplified and it stays the same. So all you do is add 4 radical 7 and 5 radical 7 which equals 9 radical 7.

Radical- is square root sign

6 0
3 years ago
What is the standard form of the points (-3,4) (2,-6)
Bas_tet [7]

The standard form equation of the line connecting the two points is 2x +  y = -2

Linear equation in a standard form is given as Ax + By = C

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

where,

(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)

Substitute

slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2

Step 2: Find the y-intercept (b) of the line by substituting (x, y) = (-3,4) and m = -2 into y = mx + b (slope-intercept form)

4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2

Step 3: Write the equation of the line in slope-intercept form by substituting m = -2 and b = -2 into y = mx + b

y = -2x + (-2)\\y = -2x - 2

Step 4: Rewrite the equation in standard form (Ax + By = C)

y = -2x - 2\\

Add 2x to both sides

2x + y = -2x - 2 + 2x\\2x +  y = -2

The standard form equation of the points (-3,4) and (2,-6) is 2x +  y = -2

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

6 0
3 years ago
It takes a 2 1/2 yard from a bolt of fabric to make a costume for a school play. How much fabric would be needed for 8 costumes
Genrish500 [490]

Answer:

20 yards of fabric

Step-by-step explanation:

you can find this answer more easily by timing 2 by 8 then timing 1/2 by 8 witch would be 16 and 4 then all you do is add 16 and 4 to get 20

5 0
2 years ago
Suppose that tickets for a rock concert cost $5 for the first ticket, $10 for the second ticket, $15 for the third ticket, and s
Tresset [83]

Answer:

275$

Step-by-step explanation:

3 0
2 years ago
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