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Vilka [71]
3 years ago
15

"if x is a discrete uniform random variable ranging from 0 to 12, find p(x ≥ 10)"

Mathematics
1 answer:
aev [14]3 years ago
7 0
There are 13 possible values of X, and each has a probability of \dfrac1{13} of occurring. So

\mathbb P(X\ge10)=\mathbb P(X=10)+\mathbb P(X=11)+\mathbb P(X=12)=\dfrac3{13}

You might be interested in
Trigonometry questions
trasher [3.6K]

We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.

11.

Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.

tan B = b/a

b = a tan B = 65.7 tan 28.9° = 36.3 m

12.

Similar story, boat at B, opposite b=3.5 m, rope c=12 m

sin B = b/c

B = arcsin b/c = arcsin (3.5/12) = 17.0°

13.

c=124 m, A=58°

sin A = a/c

a = c sin A = 124 sin 58 = 105.2 m

14.

That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so

cos A = b/c

A = arccos b/c = arccos (1.8/2.8) = 50.0°

15.

Not a right triangle, an isosceles triangle.  Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°.  We're after d=2b:

sin B = b/c

b = c sin B

d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm

Almost equilateral


4 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%20%7D%20%20%2B%205%20%3D%207" id="TexFormula1" title=" \frac{x}{4 } + 5
harina [27]

<u><em>x=8 is the correct answer.</em></u> First you had to subtract by 5 from both sides of equation, and it gave us, \frac{x}{4}+5-5=7-5. And then simplify, and it gave us, \frac{x}{4}=2. Then you can multiply by 4 from both sides of equation, and it gave us, \frac{4x}{4}=2*4. And finally simplify, and it gave us the answer is 2*4=8, or <u><em>x=8 is the correct answer.</em></u> Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

8 0
3 years ago
Read 2 more answers
4.3-1.4 (p+7)=-9.7<br> find the equivalent to p
anyanavicka [17]
4.3-1.4(p+7)=-9.7
4.3-1.4p-9.8=9.7
4.3-1.4p=0.1
-1.4p=-4.2
p=3

Hope this helps :)
4 0
3 years ago
It takes flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 65 hours knitting a total of 1
IRINA_888 [86]

Answer:

Flora can make 10 pairs of socks and 5 pairs of gloves.

Step-by-step explanation:

Here we have to form two equations from the given information.

Let "x" be the number of pair of socks and "y" be the number of pair of gloves.

Given:

It takes flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 65 hours knitting a total of 15 pairs of socks and gloves,

x + y = 15

3x + 7y = 65

Now we have to solve these two equations to find the solution.

Let's use the substitution method.

From the first equation can be written as

x = 15 - y

Now plug in x = 15 - y in the second equation and find the value of y.

3(15 - y) + 7y = 65 (This is called substitution method)

45 - 3y + 7y = 65

Simplify the like terms

45 + 4y = 65

Subtract 45 from both sides, we get

4y = 65 - 45

4y = 20

Dividing both sides by 4, we get

y = 20/4

y = 5

Now plug in y = 5 in the x = 15 - y

x = 15 - 5

x = 10

Therefore, Flora can make 10 pairs of socks and 5 pairs of gloves.

5 0
4 years ago
What do I need to subtract from to get angle two?
ololo11 [35]
Step 1) Add up the three given angles: 125+109+83 = 317

Step 2) Subtract the result (found in step one) from 360
360 - 317 = 43

The reason for the 360 is because for any four-sided polygon, the angles always add up to 360 degrees. 

The answer is 43

3 0
3 years ago
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