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aksik [14]
3 years ago
6

Variable y varies directly with variable x, and y = 5 when x = 8.

Mathematics
2 answers:
Keith_Richards [23]3 years ago
7 0
8 _ _ _ _ _ 5 
x _ _ _ _ _ 15

8 / x = 5 / 15 ;
x = ( 8 × 15 ) / 5 ;
x = 120 / 5 ;
x = 24 ;
qaws [65]3 years ago
4 0
Y = kx

Plug in what we know:

5 = k(8)

5 = 8k

Divide 8 to both sides:

k = 0.625

Plug this back into the equation along with y = 15:

y = kx

15 = 0.625x

Divide 0.625 to both sides:

x = 24
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A circle has the equation (x−13)2+(y−1)2=4.
baherus [9]

An equation of circle has form

(x-x_0)^2+(y-y_0)^2=r^2 \\ where\: x_0\: and\: y_0\: are\: the\: center

So, the center is (13;1)

Now we need to find a radius

Let's create an equation

{r}^{2}  = 4 \\ r =  \sqrt{4}  \\ r = 2

So radius is 2

3 0
3 years ago
If nine is added eighteen times to a number, the result is 173. What is the number?
fomenos

I believe the answer is 19.1 and then you round it from there. Because 173 is not an even number. Check with someone else though. Hope this helps!
3 0
3 years ago
Read 2 more answers
Because gambling is a big​ business, calculating the odds of a gambler winning or losing in every game is crucial to the financi
IRISSAK [1]

Answer:

a) 0.1165

b) 0.0983

c) 0.000455

d) 0.787

e) 0.767

Step-by-step explanation:

5 ​bars, 4 ​lemons, 3 ​cherries, and a bell

Total = 5+4+3+1 = 13

The probability of getting a bar on a slot, P(Ba) = 5/13 = 0.385

A lemon, P(L) = 4/13 = 0.308

A cherry, P(C) = 3/13 = 0.231

A bell, P(Be) = 1/13 = 0.0769

a) Probability of getting 3 lemons = (4/13) × (4/13) × (4/13) = 256/2197 = 0.1165

b) Probability of getting no fruit symbol

On each slot, there are 4+3 = 7 fruit symbols.

Probability of getting a fruit symbol On a slot = 7/13

Probability of not getting a fruit symbol = 1 - (7/13) = 6/13 = 0.462

Probability of not getting a fruit symbol On the three slots = 0.462 × 0.462 × 0.462 = 0.0983

c) Probability of getting 3 bells, the jackpot = (1/13) × (1/13) × (1/13) = 1/2197 = 0.000455

d) Probability of not getting a bell on the 3 slots

Probability of not getting a bell on one slot = 1 - (1/13) = 12/13 = 0.923

Probability of not getting a bell on the 3 slots = (12/13) × (12/13) × (12/13) = 1728/2197 = 0.787

e) Probability of at least one bar is a sum of probabilities

Note that Probability of getting a bar = 5/13 and probability of not getting a bar = 8/13

1) Probability of getting 1 bar and other stuff on the 2 other slots (this can happen in 3 different orders) = 3 × (5/13)×(8/13)×(8/13) = 960/2197 = 0.437

2) Probability of getting 2 bars and other stuff on the remaining slot (this can also occur in 3 different orders) = 3 × (5/13)×(5/13)×(8/13) = 600/2197 = 0.273

3) Probability of getting 3 bars on the slots machine = (5/13) × (5/13) × (5/13) = 125/2197 = 0.0569

Probability of at least one bar = 0.437 + 0.273 + 0.0569 = 0.7669 = 0.767

5 0
3 years ago
Plzzzzzz helppppp this is due today I need helppppp
NISA [10]

Answer:

Step-by-step explanation:

so if you put Ln(0.99) into your calculator it gives you a negative answer. so we know that this problem will be decay.

next the answer for the above looks like   0.010050  ...   so it's 1.0% for each x

7 0
3 years ago
Learn with an example
malfutka [58]

Answer:

200

Step-by-step explanation:

1. 4 times 5 because there are 5 types in total and they make 4 of each type in each batch they bake. 4*5 is 20.

2. 20 times 10 because they make 10 batches and you know there are 20 in each batch. so 20 times 10 is 200.

200 is the answer.

4 0
3 years ago
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