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ycow [4]
4 years ago
10

Solve for all values of x by factoring. x^2-1=0

Mathematics
1 answer:
SashulF [63]4 years ago
3 0

Answer:

x = 1

Step-by-step explanation:

The reason the answer is one because, 1^2 = 1

and 1 - 1  = 0

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- Two consecutive integers are 5 and 6. Write a quadratic equation that
mario62 [17]

Answer:

  x^2 -11x +30 = 0

Step-by-step explanation:

If these two integers are solutions of the quadratic, then its factors are ...

  (x -5)(x -6) = 0

Multiplying this out, we get ...

  x^2 -11x +30 = 0

6 0
4 years ago
PLEASE HELP ILL GIVE BRAINLIEST!!! ((if more than one person answers))
Luden [163]

Answer:

a) 300

b) 900

Step-by-step explanation:

The length of the rectangle is 5 and the width is 3...

But since the rectangles are connected together, we could just work the problem like this:

5 x 2 = 10

_____________

3 x 5 = 15

15 x 2 = 30

The surface area of the shape is 10 x 30 = 300

______________________________________________

If the dimensions of the box were tripple, we would need to multiply the surface area by 3:

300 x 3 = 900

For the second question, the answer would be 900

Hope this helped you :-)

4 0
4 years ago
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are list
Kitty [74]

Answer:

It does not appear ​that, as a​ group, the students are reasonably good at estimating one minute.

Step-by-step explanation:

We are given the following data in the question:

75, 88, 51, 73, 49, 31, 69, 74, 72, 59, 72, 81, 99, 101, 73

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1067}{15} = 71.13

Sum of squares of differences = 4739.733

S.D = \sqrt{\frac{4739.733}{14}} = 18.39

Population mean, μ = 60 minutes

Sample mean, \bar{x} = 71.13 minutes

Sample size, n = 15

Alpha, α = 0.10

Sample standard deviation, s = 18.39 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu = 60\text{ minutes}\\H_A: \mu \neq 60\text{ minutes}

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{71.13 - 60}{\frac{18.39}{\sqrt{15}} } = 2.34

Calculating the p-value from the table, we have,

P-value = 0.034354

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, we conclude that it does not appear ​that, as a​ group, the students are reasonably good at estimating one minute.

7 0
3 years ago
Draw and label a picture to show how knowing 7+7 helps you find 7+8
madreJ [45]
Lets say we have 7 items, and we add 7 more.
Then, in the next situation, we have 7 items and we add 8 more. Now we know that 8 = 7 + 1, so we are actually performing 7 + 7 +1. Our diagram already shows us the value of 7 + 7 so we just add 1.
The items can be represented by circles, triangles etc
3 0
4 years ago
Which number is an irrational number? -22 divided by nine
Luden [163]

Answer:

A

Step-by-step explanation:

-square root 3

5 0
3 years ago
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