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2 years ago

What is the equation of the line shown in this graph? any links will be reported

Mathematics

1 answer:

Blizzard [7]2 years ago

7 0

Answer:

y = 1

Step-by-step explanation:

Slope is written in the form y=mx+b. Where m is the slope and b is the y-intercept.

When there isn't a slope, as in the line is flat and it isn't moving up or down, you wouldn't write anything for it. You would just write y equals the y-intercept (y = b).

Likewise, if the y-intercept is at (0,0), then you'd only write y equals the slope (y = mx).

Hopefully this makes sense :)

Btw, I also answered in the main comments earlier, so you can check that out as well.

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The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What

Nutka1998 [239]

Answer:

The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.

Step-by-step explanation:

We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.

Let X = heights of 18-year-old men.

So, X ~ Normal( $\mu=68,\sigma^{2} =3^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean height = 68 inches

$\sigma$ = standard deviation = 3 inches

Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)

P(X > 65 inches) = P( $\frac{X-\mu}{\sigma}$ > $\frac{65-68}{3}$ ) = P(Z > -1) = P(Z < 1)

= 0.8413

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.

6 0

3 years ago

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

Random list of rational numbers

vagabundo [1.1K]

1/3, 2/4, 1/5, 9/3, etc....

5 0

2 years ago

Thanks guys Have funnnnnn

docker41 [41]

Answer:

The range of her scores is 26.

Step-by-step explanation:

You get the highest number and the lowest number.

99-73= 26

4 0

3 years ago

In AQRS OR=7, RS=11 M<=42 IN AUVT VT=26, TU= 44 M

N76 [4]

I think the answer to In AQRS OR=7, RS=11 M<=42 IN AUVT VT=26, TU= 44 M is THE TRIANGLES ARE NOT SIMILAR.

6 0

3 years ago

What is the equation of the line shown in this graph? any links will be reported​

What is the equation of the line shown in this graph? any links will be reported