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Vlada [557]
2 years ago
14

Which equation represents the line through (0,0) and (3,4)? a. y=3/4x b.y=4/3x c.y=4x d.y=3x

Mathematics
1 answer:
love history [14]2 years ago
3 0

Answer:

b

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3, 4 )

m = \frac{4-0}{3-0} = \frac{4}{3}

y = \frac{4}{3} x → b

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The sum of three consecutive number is 633 ,find the numbers
chubhunter [2.5K]

Answer:

210, 211, 212

Step-by-step explanation:

If we denote the first number as x, then the second number can be written as x + 1 and the third number as x + 2.

The equation is:

x + (x + 1) + (x + 2) = 633

3x + 3 = 633

3x = 633 - 3

3x = 630

x = 210

So the three consecutive numbers we're looking for are: 210, 211, 212

8 0
3 years ago
Which expression is equivalent to 16³? <br>2⁷ <br>2¹¹ <br>2¹² <br>2⁶⁴​
aleksklad [387]

Answer:

2^12

Step-by-step explanation:

16^3 can be rewritten as (2^4)^3 which can then be rewritten as 2^12 by multiplying the exponents

7 0
2 years ago
4.37) A set of data whose histogram is extremely skewed yields a mean and standard deviation of 70 and 12, respectively. What is
Brums [2.3K]

Answer:

75%

88.89%

Step-by-step explanation:

Given :

Mean = 70

Standard deviation = 12

Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :

The minimum proportion of observation between 46 and 94

Chebyshev's theorem :

1 - 1 / k²

k = number of standard deviations from the mean

k = (94 - 70) / 12 = 24 / 12 = 2

Hence, we have ;

1 - 1/2²

1 - 1/4

1 - 0.25 = 0.75

Hence, The minimum proportion of observation between 46 and 94 is 75%

Between 36 and 106 :

k = (106 - 70) / 12 ;

k = 36/12 = 3

Hence,

1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%

The minimum proportion of observation between 34 and 106 is 88.89%

7 0
3 years ago
3y+2=5(y-6) please help :)
grigory [225]
In this problem, y = 16!
4 0
3 years ago
Read 2 more answers
Reduce then calculate 7/8 x 4/15 x 3/7 = ? <br><br> Can you help?
Zepler [3.9K]

since this is a multiplication, all the numerators are just factors of the product numerator and all denominators are just factors of the product denominator, so we can simply reorder them some, without changing the product.


\bf \cfrac{7}{8}\times \cfrac{4}{15}\times \cfrac{3}{7}\implies \cfrac{7}{7}\times \cfrac{4}{8}\times \cfrac{3}{15}\implies \cfrac{1}{1}\times \cfrac{1}{2}\times \cfrac{1}{5}\implies \cfrac{1\cdot 1\cdot 1}{1\cdot 2\cdot 5}\implies \cfrac{1}{10}

8 0
3 years ago
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