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3 years ago

9 ten thousand divided by 10 in unit form and standard form

1 answer:

8 0

Dividing in unit form

9 ten thousand = 9 × 10000 = 90000

90000 ÷ 10 = 9000

Dividing the sum in Standard Form

90000 = 9 × 10⁵
10 = 10¹

[9 × 10⁵] ÷ 10¹ = 9 × 10⁴

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Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be a

TiliK225 [7]

By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.

So we have a 5-digit number, let's say that it is:

abcde

Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).

We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).

Let's assume that the first digit at which we assign its value is this, e, the last one.

For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}

4 of these options are even numbers.

So there are 4 out of 9 cases where the <u>last digit is even</u>, then the probability that the 5-digit number will be even is just:

P = 4/9

Now the other four digits can be anything (even or odd), so we only care for the probability above.

If you want to learn more about probability, you can read:

brainly.com/question/23044118

8 0

2 years ago

Select the equation written in standard form.

Elden [556K]

Answer:

Step-by-step explanation:

standard form is y=mx+b

5 0

3 years ago

(3x+1)^2-2(3x+1)(3x+5)^2+(3x+5)^2

Savatey [412]

Answer:

soln,

write the question

=9x^2+1-6x-2×9x^2+25+9x^2+25

=9x^2+1-6x-18x^2+25+9x^2+25

=9x^2-18x^2+9x^2+1+25+25-6x

=51-6x

if(3x+1)^2 mean that (3x+1)has power of 2 and u don't have to use the formula this is the answer

Step-by-step explanation:

it's just BODMAS method

6 0

2 years ago

Two thirds of the parade vehicles were vintage vehicles and 1⁄3 of the vintage vehicles were motorcycles. What fraction of the t

Liula [17]

Answer:the fraction of the total parade vehicles that are motorcycles is 2/9

Step-by-step explanation:

Let x represent the total number of parade vehicles.

Two thirds of the parade vehicles were vintage vehicles. This means that the total number of vintage vehicles would be

2/3 × x = 2x/3

1⁄3 of the vintage vehicles were motorcycles. This means that the total number of motorcycles would be

1/3 × 2x/3 = 2x/9

Therefore, the fraction of the total parade vehicles that are motorcycles would be

2x/9/x = 2/9

5 0

3 years ago

For what value of “a”are the graphs of 5y = -2x + 10 and 3y = aX- 15 parallel

Pie

Answer:

a = -6/5

Step-by-step explanation:

For the graphs to be parallel the graphs should have same slope(m)

So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,

$y=mx+b$

This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1

$5y=-2x+10\\\\y=\frac{-2x+10}{5} \\\\y=\frac{-2}{5}x+\frac{10}{5} \\\\y=\frac{-2}{5}x+2$

so if we compare it with y = mx + b the coefficient of x is m and hence

m= -2/5 now solving for equation 2

$3y=ax-15\\\\y=\frac{ax-15}{3} \\\\y=\frac{ax}{3}-\frac{15}{3} \\\\y=\frac{a}{3}x-5\\\\$

so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:

$m_1=m_2$

we equation both the slope to each other to find the value of a like this,

$m_1=m_2\\\\\frac{-2}{5}=\frac{a}{3}\\\\-2(3)=a(5)\\\\-6=5a\\-6/5=a$

so the value of a equals

a= -6/5

8 0

3 years ago