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sweet-ann [11.9K]
3 years ago
15

If f(x)=2x-3/5 , which of the following is the inverse of f(x)?

Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

(5x+3)/2

Step-by-step explanation:

f(x)=(2x-3)/5

f(x)=y

y=(2x-3)/5

interchanging role of x and y

x=(2y-3)/5

5x=2y-3

5x+3=2y

y=(5x+3)/2

the inverse if f(x) = (5x+3)/2

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Determine weather randomly picking a blue card from a bag containing all blue cards is impossible, unlikely, as likely as not, l
Anuta_ua [19.1K]

Answer:

The correct answer is certain with probability equal to 1.

Step-by-step explanation:

Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.

We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.

Here the experiment is picking a blue card from a bag containing all blue cards.

Possible outcomes are all the cards colored blue in the bag.

Total outcomes are also all the blue cards in the bag.

∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.

5 0
3 years ago
A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres
uranmaximum [27]

The answer is 2.1 Km. Hope this helps!

5 0
3 years ago
In a randomly selected sample of 1169 men ages 35–44, the mean total cholesterol level was 210 milligrams per deciliter with a s
Aneli [31]

Answer:

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

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 = 210, \sigma = 38.6

Find the highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10%.

This is the 10th percentile, which is X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

-1.28 = \frac{X - 210}{38.6}

X - 210 = -1.28*38.6

X = 160.59

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

5 0
3 years ago
Which equation has a variable Isolated? (PUT NO SPACES WHEN TYPING THE EQUATION y=4x and 3x+2y=55​
andrew11 [14]

Answer:

X is five, 100% :D

Step-by-step explanation:

5 0
3 years ago
The floor of a rectangular room is 300 cm long and 180 cm wide. to carpet the floor? How many small tiles are needed​
Vinvika [58]

The number of small tiles are needed​ is 300 tiles.

<h3>Number of tiles needed</h3>

Using area of rectangular formula

Area of the room = length(l) × breadth (b)

Area of the room=300 cm×180 cm

Area of the room=54,000 cm²

Number of tiles needed = Area of rectangular region / Area of one tile

Number of tiles needed=54,000/180

Number of tiles needed=300 tiles

Therefore the number of small tiles are needed​ is 300 tiles.

Learn more about number of tiles needed here:brainly.com/question/2136390

#SPJ1

4 0
2 years ago
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