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3 years ago

The dot plot represents the amount of rain recorded by rain gauges in different locations around a city

Mathematics

2 answers:

lana [24]3 years ago

7 0

I think it's 16. 8 different numbers have dots (which represent gauges) above them. if you count them they total up to 16.

Alexus [3.1K]3 years ago

7 0

Answer:

Step-by-step explanation:

There are 3 dots above 0.5, 1 dot above 0.75, 3 dots above 1, 1 dot above 1.5, 2 dots above 1.75, 3 dots above 2, 2 dots above 2.25 and 1 dot above 2.5.

This is a total of

3+1+3+1+2+3+2+1 = 16 dots.

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Solve the simultaneous equation y = x^2 and y = 3x - 2

gayaneshka [121]

Answer:

${x}^{2} = 3x - 2 \\ {x}^{2} - 3x + 2 = 0 \\ (x - 1)(x - 2) = 0 \\ x = 1 \: or \: x = 2 \\ for \: x \: = 1 \\ \: y = {(1)}^{2} = 1 \\ for \: x = 2 \\ y = {(2)}^{2} = 4$

3 0

3 years ago

The equation y = 5 represents the graph of a line perpendicular to the y-axis and passing through the point (1,5).

DedPeter [7]

Answer:

False

Step-by-step explanation:

A perpendicular line parallel to the y- axis has equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (1, 5) with x- coordinate 1, thus

x = 1 ← equation of perpendicular line

7 0

3 years ago

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Ainat [17]

Answer:

-127

Step-by-step explanation:

7 0

3 years ago

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A coin is tossed 6 times. what is the probability that the number of heads obtained will be 2? express your answer as a fraction

Valentin [98]

For this you will have to make a tree diagram
it will be so much easier although there is a way to do it

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4 0

3 years ago

The polynomial of degree 5, P ( x ) has leading coefficient a=1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of

ser-zykov [4K]

Answer:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$ , for $r_{1} = 0$

Step-by-step explanation:

The general form of quintic-order polynomial is:

$p_{5}(t) = a\cdot x^{5} + b\cdot x^{4} + c\cdot x^{3} + d\cdot x^{2} + e \cdot x + f$

According to the statement of the problem, the polynomial has the following roots:

$p_{5} (t) = (x - r_{1})\cdot (x-3)^{2}\cdot x^{2} \cdot (x+1)$

Then, some algebraic handling is done to expand the polynomial:

$p_{5} (t) = (x - r_{1}) \cdot (x^{3}-6\cdot x^{2}+9\cdot x) \cdot (x+1)\\p_{5} (t) = (x - r_{1}) \cdot (x^{4}-5\cdot x^{3} + 3 \cdot x^{2} + 9 \cdot x)$

$p_{5} (t) = x^{5} - (5+r_{1})\cdot x^{4} + (3 + 5\cdot r_{1})\cdot x^{3} +(9-3\cdot r_{1})\cdot x^{2} - 9 \cdot r_{1}\cdot x$

If $r_{1} = 0$ , then:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$

5 0

3 years ago