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tatuchka
18 days ago
11

A pharmacy uses 4×10−3 liter of an active ingredient in one dose of a medication. The active ingredient comes in a 2-liter bottl

e. How many doses of the medication can be made with one bottle of the active ingredient? Write your answer in standard form.
Mathematics
1 answer:
Zina [9.1K]18 days ago
3 0
Each bottle contains 2 liters of the active solution. To find out how many doses can be made, divide 2 L by 4x10^-3.
The number of doses is calculated as (2 L) / (4x10^-3 L/dose) = 500 doses.
Consequently, the pharmacy is capable of preparing 500 doses of the medication. 
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A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. suppose th
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Answer:

We have the following details:

Confidence level = 99%. Hence, the critical value at a 0.01 significance level is provided below:

z_{\frac{0.01}{2}}=2.576

The margin of error is mentioned in the question as:

E=0.05

Since we lack information about the previous proportion, we need to assume \hat{p} = 0.5.

Therefore, the required sample size is:

n=\hat{p}(1-\hat{p}) \left( \frac{z_{\frac{0.01}{2}} }{E} \right)

  =0.5(1-0.5) \left( \frac{2.576}{0.05} \right)

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4 0
21 day ago
What is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8? 4.6 8.4 10 12What is the value of a in the equ
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Answer:

1. 8.4 2. 15

Step-by-step explanation:

1. 4x + 8y = 40

when y = 0.8

4x + 8 × 0.8 = 40

4x = 40 - 8 × 0.8

4x = 40 - 6.4 = 33.6

....x = 33.6 / 4 = 8.4

2. 3a + b = 54

when b = 9

3a + 9 = 54

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8 0
24 days ago
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Kim is training for a long-distance marathon. Before training, she was able to run one mile in seven minutes. For each of the ne
Zina [9184]

Answer:

0.93 minute

Step-by-step explanation:

During the first week:

Kim ran = 1 mile

Duration for this distance = 1 minute

In the second week:

The distance covered by Kim = 1 mile

The time taken by Kim = 7% less compared to the first week

                         = 1 min - 0.07 min = 0.93 minute

<pSo, she completed 1 mile in 0.93 minute this week.
5 0
1 month ago
Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects
AnnZ [9117]

Answer:

118.2°

Step-by-step explanation:

Dos líneas paralelas x e y son cortadas por la transversal w (ver el diagrama adjunto).

Se forman 8 ángulos (denominados 1, 2, 3, 4, 5, 6, 7 y 8).

Los ángulos 1 y 6 son ángulos del mismo lado cuando dos líneas paralelas x e y son cortadas por la transversal w.

Dos ángulos del mismo lado son suplementarios (suman 180°). Esto significa

m\angle 1+m\angle 6=180^{\circ}

Dado m\angle 1=61.8^{\circ}, por lo que

m\angle 6=180^{\circ}-61.8^{\circ}=118.2^{\circ}

8 0
27 days ago
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