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2 years ago

Please explain and tell me how to do it please

Mathematics

1 answer:

dsp732 years ago

8 0

The answer is b) y = 3x + 3.

To find this, we first need to find the slope. The slope formula is listed below.

m = (y2 - y1)/(x2 - x1)

In this equation, m is the slope, and (x1, y1) is the first point, where (x2, y2) is the second point. We'll use (2, 9) and (3, 12) for the points.

m = (y2 - y1)/(x2 - x1)

m = (12 - 9)/(3 - 2)

m = 3/1

m = 3

Now that we have the slope at 3. we can use slope intercept form and one point to solve for the y-intercept. We'll use (2, 9) as the point.

y = mx + b

9 = 3(2) + b

9 = 6 + b

3 = b

When we use the slope and intercept together to get the equation. y = 3x + 3

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skad [1K]

Answer:

Answer is 25/56

Step-by-step explanation:

Given that

Katie and her brother are both writing a report. Katie write 7/8 of her report and her brother wrote 3/7 of his report

TO compare these two fractions we have to make both of them have the same denominator.

We find that as such the two fractions have denominators as 7 and 8 and hence Least common multiple is 56

LEt us make equivalent fractions

7/8 = 49/56

3/7=24/56

Difference i.e. Katie wrote more than her brother = 49/56-24/56

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2 years ago

7. The probability that a randomly chosen student will be left-handed is .09: a) In a class of 108, find the probability that th

vampirchik [111]

Solution :

Let x be student will be left handed

P = 0.09

Using the normal approximation to binomial distribution,

a). n = 108,

μ = np = 9.72

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$=\sqrt{8.8452}$

= 2.9741

Required probability,

P(x=8) = P(7.5 < x < 8.5)

$=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$

$=P(-0.75 < z < -0.41)$

Using z table,

= P(z<-0.41)-P(z<-0.75)

= 0.3409-0.2266

= 0.1143

b). P(x=12) = P(11.5 < x < 12.5)

$=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$

$=P(0.60 < z < 0.94)$

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3 years ago

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Answer:
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2 years ago

3.3 A circle has a radius of 12cm. An angle of 3.2 radians is subtended at the centre by an arc. Calculate the length of the arc

Inessa [10]

Answer:

S = 38.4 centimeters.

Step-by-step explanation:

<u>Given the following data;</u>

Radius, r = 12 cm
Angle = 3.2 rads

To find the length of the arc of a circle;

A full circle measures an angle of 360 degrees.

π = 180°

So; Angle, A = 360° = 2π

Therefore, a full circle is equal to 2π in terms of radians (rads).

Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.

Mathematically, the length of the arc of a circle is given by the formula;

S = rA

Where;

S is the length of the arc.
A is the angle measured in radians.

Substituting into the formula, we have;

S = 12 * 3.2

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2 years ago

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Paha777 [63]

Answer:

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Step-by-step explanation:

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