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3 years ago

Guys.Can you please helo me with this?

Mathematics

2 answers:

faust18 [17]3 years ago

8 0

Slope is -1/4 and the y intercept is -1.5

Svetlanka [38]3 years ago

4 0

The slope-intercept form of a line is:

y=mx+b, where m=slope and b=y-intercept.

First find the slope using the two points clearly marked.

Slope or velocity is (y2-y1)/(x2-x1), in this case:

m=(-2-0)/(2--6)=-2/8=-1/4, so far we now have:

y=-0.25x+b, now using either point we can solve for b, using (2,-2):

-2=-0.25(2)+b

-2=-0.5+b

-1.5=b, so the line is:

y=-0.25x-1.5

So the slope is -1/4 and the y-intercept is -1.5

....

For the field of dimensions that are 3.2 times that of the playground...

perimeter=2(L+W) for the playground.

If the dimensions of the field are 3.2 times greater then:

p=2(3.2L+3.2W)

p=(3.2)(2(L+W))

So the perimeter of the field is 3.2 times that of the playground, so statements c and d are not true....

Now for the areas...the area of the playground is:

A=xy and the area of the field is then:

A=(3.2x)(3.2y)

A=10.24xy

So the area of the field is 10.24 times that of the area of the playground.

Thus B is the only true statement.

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Need help ASAP thank you!!!

Juliette [100K]

Answer:

3/6

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

yawa3891 [41]

The equation of circle is:
(x-a)^2+(y-b)^2=r^2 where C(a, b) is the center.
In order to find r you have to find the distance between C(-2, 1) and let's say A(-4, 1)

The formula for distance is:
$\sqrt{ ( y_{A}-y_{C )^{2} + (x_{A}- x_{C )^{2} }$
r = 2

The equation of circle is
(x+2)^2+(y-1)^2=4

I hope that this is the answer that you were looking for and it has helped you.

5 0

3 years ago

A survey report states that 70% of adult women visit their doctors for a physical examination at least once in two years. If 20

irakobra [83]

Answer:

a) 0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.

b) 0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.

Step-by-step explanation:

For each women, there are only two possible outcomes. Either they visit their doctors for a physical examination at least once in two years, or they do not. The probability of a woman visiting their doctor at least once in this period is independent of any other women. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of adult women visit their doctors for a physical examination at least once in two years.

This means that $p = 0.7$

20 adult women

This means that $n = 20$

(a) Fewer than 14 of them have had a physical examination in the past two years.

This is:

$P(X < 14) = 1 - P(X \geq 14)$

In which

$P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 14) = C_{20,14}.(0.7)^{14}.(0.3)^{6} = 0.1916$

$P(X = 15) = C_{20,15}.(0.7)^{15}.(0.3)^{5} = 0.1789$

$P(X = 16) = C_{20,16}.(0.7)^{16}.(0.3)^{4} = 0.1304$

$P(X = 17) = C_{20,14}.(0.7)^{17}.(0.3)^{3} = 0.0716$

$P(X = 18) = C_{20,18}.(0.7)^{18}.(0.3)^{2} = 0.0278$

$P(X = 19) = C_{20,19}.(0.7)^{19}.(0.3)^{1} = 0.0068$

$P(X = 20) = C_{20,20}.(0.7)^{20}.(0.3)^{0} = 0.0008$

$P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1916 + 0.1789 + 0.1304 + 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.6079$

$P(X < 14) = 1 - P(X \geq 14) = 1 - 0.6079 = 0.3921$

0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.

(b) At least 17 of them have had a physical examination in the past two years

$P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

From the values found in item (a).

$P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.107$

0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.

6 0

3 years ago

How to solve using Substitution or Elimination?<br> y=3x-1<br><br> y=2x+2

n200080 [17]

By elimination:

y = 3x - 1

y = 2x + 2

Subtract the second equation from the first

0 = x - 1

y = 2x + 2

Subtract the first equation from the second

0 = x - 1

y = x + 3

Subtract the first equation from the second again

0 = x - 1

y = 4

Subtract x from both sides of the first equation

- x = - 1

y = 4

Divide the first equation by (-1)

x = 1

y = 4

<h3>So, the solution is x = 1 and y = 4 {or: (1, 4)}</h3>

4 0

3 years ago

Write an equation in slope intercept form to model the situation.

lozanna [386]

Answer:

$y=-\frac{1}{2}x + 10$

Step-by-step explanation:

Slope intercept form is a way of modeling a quadratic equation, where the coefficient of the term ( $x$ ) is the slope (change) of the line, and the constant is the y-intercept. In essence;( $y=mx+b$ ), where ( $m$ ) is the slope and ( $b$ ) is the y-intercept.

The slope of the given line is ( $-\frac{1}{2}$ ) because, this is the rate at which the candle burns, therefore, it is the change in the line. The change is ( $\frac{1}{2}$ ) because this is the rate of burning, the slope is also negative since the height is decreasing. ( $10$ ) is the y-intercept because it is the starting height of the candle. One will take the time since the start of burning the candle, multiply it by the slope, and add it to the y-intercept to find the current height of the candle. Therefore, the equation is ( $y=-\frac{1}{2}x + 10$ ), where the output ( $y$ ) is the current height of the candle, and the input ( $x$ ) is the time at which the measruement was taken.

5 0

3 years ago