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2 years ago

Which one is bigger 4.5 kg or 4.050

Mathematics

1 answer:

LiRa [457]2 years ago

4 0

Answer:

4.5 kg

Step-by-step explanation: if you have 4.050 take off the zero and it is only 4.05 which is less then 4.5 or 4.50

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If an intravenous solution containing 123 mg of a drug substance in each 250-mL bottle is to be administered at the rate of 200

12345 [234]

Answer:

24.39mL of the solution would be given per hour.

Step-by-step explanation:

This problem can be solved by direct rule of three, in which there are a direct relationship between the measures, which means that the rule of three is a cross multiplication.

The first step to solve this problem is to see how many mg of the solution is administered per hour.

Each minute, 200 ug are administered. 1mg has 1000ug, so

1mg - 1000 ug

xmg - 200 ug

$1000x = 200$

$x = \frac{200}{1000}$

$x = 0.2mg$

In each minute, 0.2 mg are administered. Each hour has 60 minutes. How many mg are administered in 60 minutes?

1 minute - 0.2 mg

60 minutes - x mg

$x = 60*0.2$

$x = 12mg$

In an hour, 12 mg of the drug is administered. In 250 mL, there is 123 mg of the drug. How many ml are there in 12 mg of the drug.

123mg - 250mL

12 mg - xmL

$123x = 250*12$

$x = \frac{250*12}{123}$

$x = 24.39$ mL

24.39mL of the solution would be given per hour.

7 0

2 years ago

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of th

mina [271]

Well we set the perimeter to 120 feet.
This means that 2x+2y=120
Now we know the area of a rectangle is xy so we have to solve for both x and y in the perimeter equation.

2x=120-2y
x=60-y

2y=120-2x
y=60-x

Now we plug these values into our area equation A=xy to get:
A=(60-y)(60-x)

7 0

2 years ago

Read 2 more answers

64, –48, 36, –27, ... Which formula can be used to describe the sequence? f(x + 1) = 3/4 f(x) f(x + 1) = -3/4 f(x) f(x) = 3/4 f(

marysya [2.9K]

Answer:

the formulae given do not make sense.

Step-by-step explanation:

5 0

2 years ago

18. A normal population has a mean of 80.0 and a standard deviation of 14.0. a. Compute the probability of a value between 75.0

mixer [17]

Answer:

a) 40.17% probability of a value between 75.0 and 90.0.

b) 35.94% probability of a value 75.0 or less.

c) 20.22% probability of a value between 55.0 and 70.0.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 80, \sigma = 14$

a. Compute the probability of a value between 75.0 and 90.0.

This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 75.

X = 90

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{90 - 80}{14}$

$Z = 0.71$

$Z = 0.71$ has a pvalue of 0.7611

X = 75

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{75 - 80}{14}$

$Z = -0.36$

$Z = -0.36$ has a pvalue of 0.3594

0.7611 - 0.3594 = 0.4017

40.17% probability of a value between 75.0 and 90.0.

b. Compute the probability of a value 75.0 or less.

This is the pvalue of Z when X = 75. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{75 - 80}{14}$

$Z = -0.36$

$Z = -0.36$ has a pvalue of 0.3594

35.94% probability of a value 75.0 or less.

c. Compute the probability of a value between 55.0 and 70.0.

This is the pvalue of Z when X = 70 subtracted by the pvalue of Z when X = 55.

X = 70

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{70 - 80}{14}$

$Z = -0.71$

$Z = -0.71$ has a pvalue of 0.2389

X = 55

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{55 - 80}{14}$

$Z = -1.79$

$Z = -1.791$ has a pvalue of 0.0367

0.2389 - 0.0367 = 0.2022

20.22% probability of a value between 55.0 and 70.0.

6 0

2 years ago

PLEASE HELP!!

aniked [119]

Answer:

Each line segment joining a vertex of ABCD to the corresponding vertex in the image is perpendicular to the line of reflection, EF. That is, the lines intersect at a 90 degree angle.

4 0

2 years ago