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Lostsunrise [7]
3 years ago
10

A stockbroker knows from experience that the probability that a client owns stocks is 0.60. P(A) The probability that a client o

wns bonds is 0.50. P(B) The probability that the client owns bonds if he/she already owns stock is 0.55 What is the probability of a client owning stocks OR bonds
Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

the probability of a client owning stocks OR bonds is 0.825

Step-by-step explanation:

The computation of the probability of a client owning stocks OR bonds is given below:

= P(stocks) + P(bonds) - P(stocks and bonds)

= 0.60 + 0.50 - (0.55 × 0.50)

= 0.60 + 0.50 - 0.275

= 0.825

Hence, the probability of a client owning stocks OR bonds is 0.825

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Please help, answer must be in fraction form if possible
yuradex [85]

Answer:

28.875 or 28 7/8

Step-by-step explanation:

pls mark brainliest!

steps:

(23+1/2) + (15+1/8) - (9+3/4) then solve

46+1 over 2 + 120+1 over 8 - 36+3 over 4

solve

47/2 + 121/8 - 39/4

solve

188+121-78 over 8 = 231/8

convert 231/8= 28 7/8

5 0
2 years ago
A 4.5 kg cat requires medication at a dose rate of 5 mg/kg once daily for the next 7 days. The tablets are available in 10 mg st
Marta_Voda [28]

Answer:

<u>Approximately 16 tablets of medicine</u>

Step-by-step explanation:

Based on the information above , we can use a <u>Rule of Three</u> to first figure out how many mg the cat would need to ingest per day.

\frac{5mg}{1kg} = \frac{x}{4.5kg}

\frac{5mg*4.5kg}{1kg} = 22.5mg

Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

22.5 / 10 = 2.25

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

2.25 * 7 = 15.75

She would need to take<u> approximately 16 tablets of medicine</u> during the week .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0
3 years ago
Show work
nika2105 [10]
Let's call the distance from the beach to the playground x.
Let's call the distance from the stand to the parking lot z.
Let's call the base of the biggest triangle in the picture (from the parking lot to the left) y.

Recall the pythagorean theorem: the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

There are three right triangles we can work with.

Triangle with sides 48, x and z. Here z is the hypotenuse so we get the equation x^{2} + 48^{2} = z^{2}

Triangle with sides 27, x and y. Here y is the hypotenuse so we get 27^{2} + x^{2} = y^{2}

Triangle with sides z, y and (48+27). Here (48+27) is the hypotenuse so we get y^{2} + z^{2} = (27+48)^{2}. That is, y^{2} + z^{2} = 5625

We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation: y^{2} + z^{2} = 5625 and replace z^{2} and y^{2} using expressions that contain an expression in terms of x from the first two equations we came up with.

That gives us: 48^{2} + x^{2} + x^{2} + 27^{2} =5625 which we solve for x as follows:

2 x^{2} + 3033 =5625&#10;2x^{2}  =2592&#10; x^{2} =1296&#10;x=36

Now that we know x we can substitute 36 for x into the equation 48^{2} + x^{2} = z^{2} and solve for z as follows:
48^{2} + 36^{2} = z^{2} &#10;2304+1296=z^{2} &#10;3600=z^{2} &#10;z=60

This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
4 0
3 years ago
Read 2 more answers
What are the solutions to the equation?<br>x² + 3x - 54​
algol13

Answer:

x = - 9, x = 6

Step-by-step explanation:

Given

x² + 3x - 54

To find the solutions equate to zero

x² + 3x - 54 = 0 ← in standard form

(x + 9)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 6 = 0 ⇒ x = 6

7 0
3 years ago
Read 2 more answers
A Storage shed has the shape of an upside down cone. The shed has a volume of 209 cubic meters and is 10 meters wide. To the nea
Mrrafil [7]

Answer:

Height = 8 meters

Step-by-step explanation:

Given that

The volume V = 209 cubic meters Diameter = 10 meters

Radius r = 5 metres

How tall is the shed? The question is looking for the height of the cone

Using the formula for volume of a cone.

V = 1/3πr^2h

Where π = 3.14

209 = 1/3 × 3.14 × 5^2 ×h

209 = 3.14/3 × 25h

209 = 78.5h/3

h = 7.99 meters

h = 8 meters

Therefore, the shed is 8 meters tall.

4 0
3 years ago
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