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3 years ago

Is the product of -5 +x and x+4 equal to the product of 5+x and x-4? Explain your answer.

Mathematics

2 answers:

beks73 [17]3 years ago

8 0

Let's find out!

-5 + x * x + 4.

-5 + x^2 + 4.

-5 + 4 + x^2.

-1 + x^2.

5 + x * x - 4.

5 + x^2 - 4.

5 - 4 + x^2.

1 + x^2

So, they are NOT the same, because one of the "1"'s are negative, and the other is positive.

son4ous [18]3 years ago

3 0

Answer:

The product of -5+x and x+4 is not equal to 5+x and x-4

Step-by-step explanation:

If we substitute x for 1, we can solve the first equation and get -20. However, when we solve the second equation, we get the answer -18. These products are not equal and therefore the answer would be no. If we substitute x for 2 to check our answer, we find that the first equation is -18. the second equation is -14. This proves that they are not equal.

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Rabies is an often-fatal disease typically transmitted through the bite of an infected animal. The state of Florida has been rec

slega [8]

Answer:

a) 3.6

b) 1.897

c)0.0273

d) 0.9727

Step-by-step explanation:

Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.

The mean of a Poisson random variable X is μ.

mean=E(X)=μ=3.6.

The standard deviation of a Poisson random variable X is √μ.

standard deviation=S.D(X)=√μ=√3.6=1.897.

The probability for Poisson random variable X can be calculated as

P(X=x)=(e^-μ)(μ^x)/x!

where x=0,1,2,3,...

So,

P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!

P(no case of rabies)=P(X=0)=0.0273.

P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)

P(at least one case of rabies)=1-0.0273=0.9727

8 0

2 years ago

A yogurt company claims that it prints a free yogurt coupon under a randomly selected 20% of its lids. A loyal customer purchase

Alona [7]

Answer:

The customer can conclude that the company's claim is correct

Step-by-step explanation:

The percentage of lids that has a free yogurt coupon = 20%

The number of cups a loyal customer purchases = 85 yogurt cups

The number of cups that contained a coupon = 12 (14.1%)

The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes

The interval obtained = (0.044, 0.238)

Therefore, the range of proportion within which the true proportion exists is 0.044 < $\hat p$ < 0.238

The range of percentage within which the true percentage exist is therefore;

0.044 × 100 = 4.4% < $\hat p$ × 100 < 0.238 × 100 = 23.8%

Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.

4 0

2 years ago

Help me answer this!!

zhenek [66]

The answer is d!!! Hope that helps!!

7 0

2 years ago

X-1/6 = 8 solve for x PLS SHOW WORK

IrinaK [193]

<h3>Given:</h3>

x - 1/6 = 8

The value of x.

<h3>Solution:</h3>

x - 1/6 = 8

or, x = 8 + 1/6

or, x = 48 + 1/6

or, x = 49/6

<h2>Answer:</h2>

The value of x is 49/6.

8 0

3 years ago

If I ride a bicycle at a rate of 5m/s,how long will it take me to ride a distance of 12km at the same rate?

Travka [436]

Step-by-step explanation:

given,velocity = 5 m/s

and distance=12×1000=12000m

now,time =?

we have , v=s/t

or, t= s/v

so,t=12000/5

2400sec.....ans

3 0

2 years ago