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artcher [175]
2 years ago
9

I need the answer on number 5

Mathematics
1 answer:
luda_lava [24]2 years ago
6 0
I believe Z=18
Example:
2/3z + 1 = 13
Multiply both sides: 2/3z * 3 + 1 * 3 = 13 * 3
Refine: 2/3z + 3 = 39
Subtract from both sides: 2z + 3 - 3 = 39 - 3
Refine: 2z=36
2z/2 = 36/12
Z=18

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A fish tank is three-quarters (3/4) full. two-thirds (2/3) of the water leaks out, leaving 10 gallons of water in the tank. what
Naily [24]

To solve this problem, all we have to do is to thoroughly analyze the situation step by step.

First let us work on the remaining 10 gallons of water in the tank. We are given that 2 / 3 of the water initially in the tank leaked out. Therefore this means that we are left with 1 / 3 the original amount of water which is 10 gallons, hence:

(1 / 3) Vi = 10 gallons

where Vi is the initial volume of water inside the tank, calculating for Vi:

Vi = 3 (10 gallons)

Vi = 30 gallons

 

We are also given that this initial volume of water is just 3 / 4 of the total capacity of the tank, therefore:

(3 / 4) Vc = Vi

where Vc is the volume capacity of the tank, calculating for Vc:

Vc = 4 Vi / 3

Vc = 4 (30 gallons) / 3

Vc = 40 gallons

 

Answer:

<span>Capacity of the fish tank is 40 gallons</span>

3 0
2 years ago
A toy company produces rubber balls that have a radius of 1.7 cm. A sphere has a radius of 1.7 centimeters. What is the volume o
kow [346]

Answer: 1 ) 20.58 cm^3

2 ) $0.09

3 ) $ 0.41

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Suppose x follows a continuous uniform distribution from 1 to 5. determine the conditional probability p(x &gt;2.5 | x ≤ 4).
Rainbow [258]
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4,  x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.

The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375

Answer: 0.375

8 0
2 years ago
Iesha’s quality-control manager told her she must have 97% of her clocks functioning properly. She found a report that said 6 ou
german

Answer:

  • Keisha’s experimental probability is 1/50.
  • When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.
  • Keisha will have more than 97% of the products working.

Step-by-step explanation:

These are three prediction that Keisha can make based on the report that said 6 of 300 clocks tested weren't working.

Base on that information, Keisha can calculate an experimental probability, dividing <em>clocks that don't work properly </em>by <em>the total amount of clocks</em><em>:</em>

<em>P_{clocks} = \frac{6}{300}=\frac{1}{50} = 0.02 (or 2\%)</em>

Therefore, the probability of success is 100% - 2% = 98%.

This means that Keisha has a probability of having 98% of all clocks functioning properly. So, she can make the prediction:<em> from 4000 clocks, 3920 will work. </em>Also, she can predict that she will actually have more than 97% working, because the experimental probability is higher than that.

6 0
2 years ago
Read 2 more answers
Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting
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Answer:

s = 4

Step-by-step explanation:

55-2.75=52.25

52.25 divided by 11.50= 4.54

s=4

4 0
2 years ago
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