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2 years ago

What property of equality is 43n = -43

Mathematics

2 answers:

VashaNatasha [74]2 years ago

6 0

Answer:

Division

Step-by-step explanation:

43n = - 43 (divide both sides by 43)

43/43 = -43/43

= -1

Mumz [18]2 years ago

3 0

Answer:

n=-1

Step-by-step explanation:

43/-43=-1

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Which numbers are irrational?

irakobra [83]

Answer:

√14 and √42. hope this helps.

5 0

2 years ago

Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the water level wi

klio [65]

Answer:

Step-by-step explanation:

"In the last 2.5 years, the water level has decreased 0.75 feet."

In the very first statement it has been stated that over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. That means in the last 2.5 years , total decrease in level is as follows

2.5 x - 0.3 = - .75 ft .

So the statement is true.

"The overall change of the water level after 7.5 years will be -2.75 feet."

This statement appears to be false based on information provided

No prediction regarding rate of decrease for a period beyond 5 year has been made so any statement with respect to a timeline of 7.5 years may turn out to be false.

"The change in water level each year for the next 5 years will be -0.4 feet. "

This statement prima-facie appears to be true because rate of decrease stated in the statement is 0.4 ft /year for next 5 years .

D )

"The overall change in water level for the next 5 years is equal to 5(0.4)"

this statement is true

as change in one year = .4

change in 5 years = 5 x .4

5 0

2 years ago

A fully inflated basketball has a radius of 12

valentinak56 [21]

The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm^3.

<h3>How to get the volume of a sphere?</h3>

The volume of air that we need is equal to the volume of the basketball.

Remember that for a sphere of radius R, the volume is:

V = (4/3)*3.14*R^3

In this case, the radius is 12cm, replacing that we get:

V = (4/3)*3.14*(12cm)^3 = 7,234.56 cm^3

Then, to fully inflate the ball, we need 7,234.56 cm^3 of air.

If you want to learn more about spheres, you can read:

brainly.com/question/10171109

7 0

2 years ago

A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the

Ne4ueva [31]

Answer:

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Test positive

Event B: Has the disease

Probability of a positive test:

90% of 3%(has the disease).

1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So

$P(A) = 0.90*0.03 + 0.1*0.97 = 0.124$

Intersection of A and B:

Positive test and has the disease, so 90% of 3%

$P(A \cap B) = 0.9*0.03 = 0.027$

What is the conditional probability that she does, in fact, have the disease

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177$

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

3 0

3 years ago

A shopkeeper fixed the marked price of his radio to make a profit of 30 percentage. allowing rs 30 as a discount then the profit

dusya [7]

Answer:

rs 200

Step-by-step explanation:

Let cost price = x

At 30% profit; marked price of radio is 30% of x = (100% + 30%) = 130%x

Discount = rs 3%

Profit made = 30

Hence,

Marked price - discount = cost price + 30

130%x - 30 = x + 30

1.3x - 30 = x + 30

1.3x - x = 30 + 30

0.3x = 60

Divide both sides by 0.3

0.3x / 0.3 = 60/ 0.3

x =

1.3x / 1.3 = 60 / 1.3

x = 200

Hence, cost price = rs 200

7 0

2 years ago