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Svetllana [295]
2 years ago
7

Expressions that simlify to the same expression are called

Mathematics
1 answer:
Lisa [10]2 years ago
3 0

Answer:

Eqivelent expressions

Step-by-step explanation:

also dis

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Carlos has taken an initial dose of a prescription medication.
Marat540 [252]

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

M(t)=20 e^{-0.86t}

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48

<u>Note: </u> Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

8 0
3 years ago
Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals
Alekssandra [29.7K]

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }

0.8-1.96\sqrt{\frac{0.16}{550} }

0.8-1.96\sqrt{0.00029 }

0.8-1.96(0.01706)

0.8-0.03343

0.76657

Thus, the required confidence interval is

0.767<P<0.833  (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

3 0
2 years ago
You put the names of all the students in your class in a paper bag. There are 16 boys and 18 girls. If you draw a name at random
yaroslaw [1]
It would be a. 8/9 because for every 8/9 boy, there is 1 girl. To check this work, you can do 8/9 x 18 which equals 16.
5 0
2 years ago
Read 2 more answers
A triangular bandana has an area of 46 square inches. The height of the triangle is 5 3 4 inches. Enter and solve an equation to
shutvik [7]

Answer: 16 inches

Step-by-step explanation:

The area of a triangle = bh/2

where b = base = unknown

h = height = 5 3/4 inches

Area = 46 inches²

Therefore, 46 = base × 5 3/4 / 2

Cross multiply

46 × 2 = base × 5 3/4

92 = base × 5 3/4

Base = 92 ÷ 5 3/4

Base = 92 ÷ 23/4

Base = 92 × 4/23

Base = 4 × 4

Base = 16 inches

8 0
2 years ago
Write first 10 pirme numbers and find median
likoan [24]

Answer:

2 3 5 7 11 13 17 19 23 27

Step-by-step explanation:

12 I think

5 0
3 years ago
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