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Fofino [41]
3 years ago
9

The product of two consecutive natural numbers is greater than their sum by 109. Find these numbers

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:

The numbers will be "11 and 12".

i believe

Step-by-step explanation:

x(x + 1) > x + x + 1 + 109     where x and x+1 are the 2 numbers.

x^2 + x > 2x + 110

x^2  - x - 110 > 0

(x - 11)(x + 10) > 0    The critical values are 11 and -10 but number must be natural

So the value of x is 11

The numbers are 11 and 12

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A 95% confidence interval for the mean number of television per American household is (1.15, 4.20). For each of the following st
liq [111]

Answer:

a. False

b. True

c. False

d. False

e.True

f. True

Step-by-step explanation:

The 95% is confidence interval its not a probability estimate. The probability will be different from the confidence interval. Confidence interval is about the population mean and is not calculated based on sample mean. Every confidence interval contains the sample mean. There is 95% confidence that the number of televisions per American household is between 1.15 to 4.20.

7 0
3 years ago
Which pair of expressions is not equivalent? A 3(2a + 5) and 6a + 15 B. 4x – 7 + 5x + 5 and 9x + 12 0. C. 80 - 6) and 8j – 48 D.
Sergio039 [100]

Answer:

The correct answer is B.) (4x - 7 + 5x + 5) and (9x + 12).

5 0
3 years ago
4 = 3/4m - 6 pls help me ASAP and check the answer
laila [671]

Answer:

m = 3/40

Step-by-step explanation:

4 = 3/4m - 6

m*4 = m(3/4m -6)

4m = m*3/4m + m*-6

4m = 3/4 - 6m

6m + 4m = 3/4

10m = 3/4

m = (3/4)/10

m = 3/40

check:

4 = 3/(4*3/40) - 6

4 = 3/(12/40) - 6

4 = (3*40)/12 - 6

4 = 120/12 - 6

4 = 10 - 6

4 0
3 years ago
What is the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34 Round yo
Galina-37 [17]

We are asked to find the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34.

The probability of a data score between two z-scores is given by formula P(a.

Using above formula, we will get:

P(-1.32

Now we will use normal distribution table to find probability corresponding to both z-scores as:

P(-1.32

P(-1.32

Now we will convert 0.27351 into percentage as:

0.27351\times 100\%=27.351\%

Upon rounding to nearest tenth of percent, we will get:

27.351\%\approx 27.4\%

Therefore, our required probability is 27.4% and option C is the correct choice.

5 0
3 years ago
1/5x-8=4. what does x. equal​
Slav-nsk [51]

Answer:

12

Step-by-step explanation:

if you multiply everything by 5, then you can get rid of the fraction and the equation would now look like this:

x - 40 = 20

and now you can answer this simply

x - 40 = 20

  +40   +40

x = 60

and since you multiplied 5 beforehand, now you have to divide by 5 to get the real answer

60 ÷ 5 = 12

therefore, x = 12

8 0
4 years ago
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