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lyudmila [28]
4 years ago
15

Can you please help me solve this question using cross multiplication? 2.1/27=2 1/3/0.3p

Mathematics
2 answers:
erastova [34]4 years ago
8 0
You end up getting 14/135.
ANEK [815]4 years ago
7 0
I got p= 14/135
Hope this helps
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Fill in each box with the probability of the event that it represents. The following questions can be answered using your area m
Tanya [424]

Answer:

a. \ \dfrac{1}{36}

b. \ \dfrac{4}{9}

c. \ \dfrac{5}{6}

Step-by-step explanation:

The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2

The probability of rolling any of the six numbers of the six-sided die = 1/6

a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;

P(rolling a 3) = 1/6, P(Blue) = 1/6

∴ P(3 and Blue) = (1/6) × (1/6) = 1/36

P(3 and Blue) = 1/36

P(3 \ and \ Blue) = \dfrac{1}{36}

b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;

P(rolling a 1) = 1/6, P(Orange) = 1/3

P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)

Where;

P(1 and Orange) = (1/6) × (1/3) = 1/18

∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9

P(1 or Orange) = 4/9

P(1 \ or \ Orange) = \dfrac{4}{9}

c. The probability of not spinning a blue, P(not Blue) is given as follows;

P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)

∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6

P(not Blue) = 5/6

P(not \ Blue) = \dfrac{5}{6}

6 0
3 years ago
Please help me with this someone please explain and show your full work
Marysya12 [62]
1. I am guessing the triangles split the bottom in half so you will find the area of the triangles and the rectangle and add them together
Triangle=3×4 /2 12/2=6
Triangle 3×4 /2 6
Rectangle: 8×1 8
6+6+8=
12+8=20m^2

2. Triangle area+rectangle area
Rectangle: 22×24 528
Triangle: 8×24 /2 192/2 96
528+96= 624
5 0
3 years ago
Copy and complete:<br> __:11= 1/3 :6
Aleksandr [31]

Answer:

11/18:11=1/3:6

Step-by-step explanation:

x:11=x/11 so

x/11=1/3/6

x /11=1/3*6

x=11/18

7 0
3 years ago
Find the value of r in (4, r), (r, 2) so that the slope of the line containing them is −53
Elan Coil [88]

Answer:

C) 7

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

Work Shown:

Use the slope formula

m = (y2-y1)/(x2-x1)

Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r

m = (y2-y1)/(x2-x1)

-5/3 = (2-r)/(r-4)

-5(r-4) = 3(2-r) .... cross multiplying

-5r+20 = 6-3r

-5r+20+5r = 6-3r+5r .... adding 5 to both sides

20 = 6+2r

20-6 = 6+2r-6 ....subtracting 6 from both sides

14 = 2r

2r = 14

2r/2 = 14/2 .... dividing both sides by 2

r = 7

The slope of the line through (4,7) and (7,2) should be -5/3, let's check that

m = (y2-y1)/(x2-x1)

m = (2-7)/(7-4)

m = -5/3

The answer is confirmed

7 0
3 years ago
Read 2 more answers
HELP ASAP.....NO LINKS &amp; NO TROLLING
AfilCa [17]

Answer:

C

This is the answer

(x + 3)(5x + 2) \\ x =  - 3 \:  \: or \:  \: x =   - \frac{2}{5}

4 0
2 years ago
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