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Sunny_sXe [5.5K]
3 years ago
14

What's the Error? Explain the error. Find the correct solution.19 + (-31) = 12​

Mathematics
1 answer:
Alex3 years ago
5 0

Answer:

The answer is incorrect because 12 should be negative not positive.

Step-by-step explanation:

1. 19 + -31 = - 12

2. Twelve is negative because if you were to start off at -31 and add 19 the answer would remain negative since -31 in a sense is "bigger" than 19. You would need more of a positive number to make -31 positive such as 40.

40+ -31 = 9

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(3 3/4) divided by (-2 1/2)
GalinKa [24]

Answer:

-1 1/2

same as -1.5 but since you are dealing with fractions you should put it in fraction form unless told otherwise.

3 0
3 years ago
What is the rate of decay for the function f(x) =2(0.95)^x ( x is on top of the parentheses)
SIZIF [17.4K]

Answer:

The decay rate is 5%.

Step-by-step explanation:

Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function  

f(t) = P(1 - \frac{r}{100})^{t} ........... (1)

Comparing this equation with the original equation given as

f(x) = 2(0.95)^{x} ............ (2) we get,

(1 - \frac{r}{100}) = 0.95

⇒ \frac{r}{100} = 0.05

⇒ r = 5%.

Therefore, the decay rate is 5%. (Answer)

7 0
3 years ago
Find the indicated probability.
natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

<u>Recall:</u>

  • Binomial Distribution --> P(k)={n\choose k}p^kq^{n-k}
  • P(k) denotes the probability of k successes in n independent trials
  • p^k denotes the probability of success on each of k trials
  • q^{n-k} denotes the probability of failure on the remaining n-k trials
  • {n\choose k}=\frac{n!}{(n-k)!k!} denotes all possible ways to choose k things out of n things

<u>Given:</u>

  • n=10
  • k=4
  • p^k=0.53^4
  • q^{n-k}=(1-0.53)^{10-4}=0.47^6
  • {n\choose k}={10\choose 4}=\frac{10!}{(10-4)!4!}=210

<u>Calculate:</u>

  • P(4)=(210)(0.53^4)(0.47^6)=0.1786117069\approx0.179

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

7 0
2 years ago
Suppose a triangle has two sides of length 33 and 37, and that the angle
marysya [2.9K]

Answer:

c^2=33^2+37^2-2(33)(37)cos120(i don't know for sure tho)

Step-by-step explanation:

LAW OF COSINES

6 0
3 years ago
If the shape of an object changes the perimeter will always change true or false
Ugo [173]

The answer is false due to the object is changes shape not size

6 0
3 years ago
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