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3 years ago

Rules for multiplying and dividing by 1 and 0

Mathematics

2 answers:

liubo4ka [24]3 years ago

7 0

Mutiplying: the product is always 0

natita [175]3 years ago

3 0

Multiplying anything by 1 is always the number your multiplying it by so for example 1*2=2

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5. The number −6 is 2 more than an unknown number. Find the unknown number.

Mariana [72]

Answer:

-4

Step-by-step explanation:

-6 - 2 = -4

3 0

3 years ago

0 A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.5 gram. In a random sampl

balandron [24]

Answer:

The first step is to determine the average

$x= \frac{0,6+0,7+ 0,7+0,3+0,4+ 0,5+ 0,4 +0,2}{8}\\\ x= 0,475$

The exercise says it’s a normal distribution: (n=8)

$s^{2}= \frac{1}{n-1} ((0,6.x)^2+2(0,7-x)^2+(0.3-x)^2+2(0.4-x)^2+(0.5-x)^2+(0.2-x)^2)\\\ \frac{1}{7}*0,235 = 0,0336 \\\\ s= 0183$

According to the exercise, the mean is equal to 0,5 then the value of t of the distribution can be obtained

$t= \frac{x-u}{\frac{s}{\sqrt{n} }}\\\ t= \frac{0,475 - 0,5}{0,183}\\\ t= -0,3860$

The variable t has 7 grade to liberty, we calculate the p-value as:

$2* P(t < - 0,3860)= \\\ 2* 0,3554 = 0,7108$

This value is very high, therefore the hypothesis is not rejected

7 0

3 years ago

Find the values of a and b such that x^2-2x+2=(x-a)^2+b

vekshin1

Answer:

a = 1, b = 1

Step-by-step explanation:

Expand the right side and compare the coefficients of like terms on both sides, that is

right side

(x - a)² + b ← expand factor using FOIL

= x² - 2ax + a² + b

Compare to left side x² - 2x + 2

Compare the coefficients of the x- term

- 2a = - 2 ( divide both sides by - 2 )

a = 1

Compare the constant terms

a² + b = 2 ( substitute a = 1 )

1² + b = 2

1 + b = 2 ( subtract 1 from both sides )

b = 1

Thus a = 1, b = 1

6 0

2 years ago

My brother is currently three times as old as me, but in five years, my brother

wolverine [178]

Answer: Your brother is 15 years old right now.

Step-by-step explanation:

Let be "m" your currently age and "b" your brother's currently age.

Knowing that right now he is three times (this indicates multiplication) as old as you, you can write the following equation:

$b=3m$

In five years your age will be:

$m+5$

And your brother's age will be:

$b+5$

Then, if in five years, your brother will be twice as old as you, you can set up the second equation:

$b+5=2(m+5)$

Then, the System of equations is:

$\left \{ {{b=3m} \atop {b+5=2(m+5)}} \right.$

Apply the Substitution method and substitute the first equation into the second one and solve for "m":

$3m+5=2(m+5)\\\\3m+5=2m+10\\\\m=10-5\\\\m=5$

Substitute the value of "m" into the first equation and evaluate in order to find "b":

$b=3(5)\\\\b=15$

4 0

3 years ago

Helppp me understand plssss

hram777 [196]

Convert the mixed number into improper fraction:
$-\frac{\frac{8}{5}}{-\frac{2}{3}}$

Multiply by reciprocal:
$-\left(-\frac{24}{10}\right)$
$-\frac{1\frac{3}{5}}{-\frac{2}{3}}$

$\frac{12}{5}$

Convert improper fraction to mixed number
$2\frac{2}{5}$

8 0

3 years ago