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tresset_1 [31]
3 years ago
14

In the accompanying diagram of AABC, side AB is

Mathematics
1 answer:
guapka [62]3 years ago
3 0

Answer:

x = 10

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠CBD is an external angle of the triangle, thus

4x + 30 = 2x + 10 + x + 30, that is

4x + 30 = 3x + 40 ( subtract 3x from both sides )

x + 30 = 40 ( subtract 30 from both sides )

x = 10

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Suppose the variable x is represented by a standard normal distribution. What is the probability of x > 0.3 ? Please specify
uysha [10]

Answer: 0.38

Step-by-step explanation:

Since the variable x is represented by a standard normal distribution, the probability of x > 0.3 will be calculated thus:

P(x > 0.3)

Then, we will use a standard normal table

P(z > 0.3)

= 1 - p(z < 0.3)

= 1 - 0.62

= 0.38

Therefore, p(x > 0.3) = 0.38

The probability of x > 0.3 is 0.38.

5 0
2 years ago
Find the volume of the rectangular prism.
sasho [114]

Answer:

84m³ (A) should be correct

6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP, THANK YOU
nlexa [21]

First step is to plot all the given coordinates in the xy plane.

Notice that after plotting the points A, B, C and D, we have got the figure ABCD is a trapezium with bases AD = 4 units, BC = 6 units and height: DE= 5 units.

Formula to find the area of trapezium is:

Area = \frac{(AD+BC)}{2} *DE

= \frac{4+6}{2} *5

=\frac{10}{2} *5

= 5 * 5

= 25 square units.

So, third choice is correct.

Hope this helps you!

6 0
3 years ago
Find the inverse of the function y = 2x2 + 2
Anvisha [2.4K]
We have that
y = 2x²<span> + 2

step 1

</span><span>exchange the value of x for y and the value of y for x
</span>y = 2x² + 2------> x=2y²+2

step 2
clear y variable
 x=2y²+2----> 2y²=x-2----> y²=[(x-2)/2]-----> y=(+/-)√[(x-2)/2]

step 3
the inverse is
f(x)-1=(+/-)√[(x-2)/2]

8 0
3 years ago
Read 2 more answers
A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is
ivann1987 [24]

Answer: 5/14 which is choice B

================================================

How I got this answer:

Define the following events

A = event of picking a red paper clip on the first selection

B = event of picking a red paper clip on the second drawing

Replacement is not made.

Now onto the probabilities for each

P(A) = 2/5 = 0.4 is given to us as this is simply the probability of picking red on the first try

P(A and B) = probability of both events A and B happeing simultaneously = 1/7

P(B|A) = probability event B occurs, given event A has occured

P(B|A) = probability of selecting red on second selection, given first selection is red (no replacement)

P(B|A) = P(A and B)/P(A)

P(B|A) = (1/7) / (2/5)

P(B|A) = (1/7) * (5/2)

P(B|A) = (1*5)/(7*2)

P(B|A) = 5/14

So if event A happens, then the chances of event B happening is 5/14

------------------

A more concrete example:

If we had 15 paperclips, and 6 of them were red, then

P(A) = (# of red)/(# total) = 6/15 = 2/5

P(B|A) = (# of red left)/(# total left) = (6-1)/(15-1) = 5/14

P(A and B) = P(A)*P(B|A) = (2/5)*(5/14) = 10/70 = 1/7

7 0
3 years ago
Read 2 more answers
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