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Inga [223]
3 years ago
6

Find three consecutive integers such that that product of the first and third is one

Mathematics
1 answer:
Tema [17]3 years ago
7 0

Answer:

n = the first

n + 1 = the 2nd

n + 2 = the 3rd

n(n + 2) - (n + 1) = 10(n + 2) + 1

n2 + 2n - n - 1 = 10n + 20 + 1

n2 - 9n - 22 = 0

(n - 11)(n + 2) = 0

If two factors = 0, at least one must = 0.

n - 11 = 0

n = 11

11,12,13

n + 2 = 0

n = -2

-2,-1,0

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lol it is 7 90 3

Step-by-step explanation:

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3 years ago
If m &lt;1=45°,Which other angles have a measure of 45°? check all that apply<br>​
Alex777 [14]

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Step-by-step explanation:

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3 years ago
Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why To
Mkey [24]

Answer:

a. The mean refractory period= 1.85 and the standard error = 0.06455

b.  90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment = 1.6981, 2.0019

c. Yes, the data give good evidence to support this theory

Step-by-step explanation:

a.  The table below shows the calculations:

                 X                (X-mean)^2

                1.7             0.0225

                1.8                 0.0025

                1.9                 0.0025

                2.0                 0.0225

Total        7.4                  0.05

Sample size: n=4

The mean is:  \bar{x} = \frac{7.4}{4} = 1.85

The sample standard deviation, s = \sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=0.1291

The standard error, se= \frac{s}{\sqrt{n}}=\frac{0.1291}{2} = 0.06455

b. Degree of freedom: df = n-1 = 3

Critical value of t for 90% confidence interval is: 2.3534

The confidence interval is  \bar{x}\pm t_{c}se = 1.85\pm 2.3534\cdot 0.06455=1.85\pm 0.1519 = (1.6981, 2.0019)

c. The Hypotheses are:

H_{0}:\mu=1.3,H_{1}:\mu>1.3

So the test statistics will be

t=\frac{\bar{x}-\mu}{s/\sqrt{n}}=8.52

The p-value is: 0.0017

We reject the null hypothesis because p-value is less than 0.05 . This indicates that the data gave good evidence to support this theory.

4 0
3 years ago
-2x-6=10<br> Solve it because I don’t get it
solniwko [45]

Answer:

X = -8

Step-by-step explanation:

4 0
2 years ago
Nancy has to find the coordinates of the reflection of the point across the y-axis. How can she find the coordinates of the new
oksian1 [2.3K]

Answer: (x, y) transforms into (-x, y)

Step-by-step explanation:

When we do a reflection over a given axis, the distance between the initial point to the axis must be the same as the distance of the reflected point to the axis.

So if we do a reflection over the y-axis, then the value of y must be fixed.

So if we start with the point (x, y), the only other point that is at the same distance from the y-axis is the point (-x, y)

So the rule is, the y value remains equal and the x changes of sign.

4 0
3 years ago
Read 2 more answers
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