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Bas_tet [7]
3 years ago
10

Suppose that y varies inversely with X and that y equals 4 when x equals 6 what is an equation for the inverse variation

Mathematics
2 answers:
seraphim [82]3 years ago
5 0

Answer:

the answer is b. y=25/x  just took the exam <3<3<3<3<3

Step-by-step explanation:

nekit [7.7K]3 years ago
3 0
When two functions vary inversely with each other, they are usually in the form y = k / x, where k is the constant of proportionality.

To find the equation for the inverse variation, find the constant of proportionality. Do that by substituting the values for x and y into y = k / x and solving for k.

y = k / x
4 = k / 6
24 = k

Answer:
The constant of proportionality is 24. The equation for the inverse variation is y = 24/x.
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Three times my age in 5 years is 54. How old am i now.
Romashka [77]

Answer:

D. 13

Step-by-step explanation:

54 ÷ 3 = 18 (your age in 5 years)

18 - 5 = 13 (your age now)

8 0
1 year ago
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During a sale, a shop offered a discount of 10% on the marked prices of all the items. What
Snowcat [4.5K]

Answer:

₹2835

Step-by-step explanation:

Working out discount of 10% of jeans at ₹1450:

10% of 1450 = 1450/10 = ₹145

the price would now be ₹1450 - ₹145 = ₹1305

Working out discount of 10% of a shirt at ₹850:

10% of 850 = 850/10 = ₹85

the price would now be ₹850 - ₹85 = ₹765

so the price of two shirts = ₹765 × 2 = ₹1530

the total the customer would have to pay:

₹1305 + ₹1530 = ₹2835

8 0
2 years ago
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• Its ones digit is one more than its tens digit.
lesya [120]

Answer:

is it 32

Step-by-step explanation:

6 0
3 years ago
In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces
nadya68 [22]

Answer:

a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less

b) 0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c) 0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours

d) 86 should have a battery life of at least 9 hours.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

The probability of being higher than x is:

P(X > x) = \frac{b - x}{b-a}

The probability of being between c and d is:

P(c \leq X \leq d) = \frac{d-c}{b-a}

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

This means that a = 8.5, b = 12

a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

P(X \leq x) = \frac{x - a}{b-a}

P(X \leq 10) = \frac{10 - 8.5}{12 - 8.5} = 0.4286

0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less.

b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

P(X > x) = \frac{b - x}{b-a}

P(X > 11) = \frac{12 - 11}{12 - 8.5} = 0.2857

0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

P(c \leq X \leq d) = \frac{d-c}{b-a}

P(9.5 \leq X \leq 11.5) = \frac{11.5 - 9.5}{12 - 8.5} = 0.5714

0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.

d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

Proportion of iPad Minis with a battery life of at least 9 hours.

P(X > 11) = \frac{12 - 9}{12 - 8.5} = 0.8571

Out of 100:

0.8571*100 = 85.71

To the nearest whole number

86 should have a battery life of at least 9 hours.

5 0
3 years ago
F(x) = 2x, find the ordered pair when x = 1. O (1,2) 0 (4,1) (2,1) O (1,4)​
kenny6666 [7]

Answer:

The ordered pair is (1, 2) ⇒ A

Step-by-step explanation:

In the function f(x) = y

  • x is the domain of the function
  • y is the range of the function
  • The domain is all the x-coordinates of the points lie on the graph of the function
  • The range is all the y-coordinates of the points lie on the graph of the function

That means any ordered pair (x, y) satisfy the function f(x) = y, lies on the graph of the function

∵ f(x) = 2x

→ That means y = 2x

∵ x = 1

→ Substitute the value of x in the function above

∴ f(1) = 2(1)

∴ f(1) = 2

→ That means at x = 1, y = 2

∴ The ordered pair is (1, 2)

6 0
3 years ago
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