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svp [43]
3 years ago
15

Explain how to use proportional reasoning to find 35% of 600

Mathematics
1 answer:
Sauron [17]3 years ago
8 0
\frac{35}{100} = \frac{x}{600}

This is the equation we would use for this problem.

Now when we cross multiply, we get:
 35(600)=100x

Simplify:
21000=100x

Divide each side by 100 to get x b itself:
210=x

So, as you can see, 210 is 35% of 600

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Determine the intercepts of the line that passes through the following points. (-5,-7) (0,-5) (5,-3)
MAVERICK [17]
To find the y intercept you use this equation:

y2 - y1

Same for x intercept:

x2 - x1

Pick two points, put in the values, and solve.

(-5,-7) and (0,-5)

-5 - (-7) = 2
0 - (-5) = 5

The y intercept is (0,2)
The x intercept is (5,0)

Hope this helps! :)
-Peredhel
4 0
3 years ago
Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Cons
Yuri [45]

Answer:

a. E(x) = 3.730

b. c = 3.8475

c. 0.4308

Step-by-step explanation:

a.

Given

0 x < 3

F(x) = (x-3)/1.13, 3 < x < 4.13

1 x > 4.13

Calculating E(x)

First, we'll calculate the pdf, f(x).

f(x) is the derivative of F(x)

So, if F(x) = (x-3)/1.13

f(x) = F'(x) = 1/1.13, 3 < x < 4.13

E(x) is the integral of xf(x)

xf(x) = x * 1/1.3 = x/1.3

Integrating x/1.3

E(x) = x²/(2*1.13)

E(x) = x²/2.26 , 3 < x < 4.13

E(x) = (4.13²-3²)/2.16

E(x) = 3.730046296296296

E(x) = 3.730 (approximated)

b.

What is the value c such that P(X < c) = 0.75

First, we'll solve F(c)

F(c) = P(x<c)

F(c) = (c-3)/1.13= 0.75

c - 3 = 1.13 * 0.75

c - 3 = 0.8475

c = 3 + 0.8475

c = 3.8475

c.

What is the probability that X falls within 0.28 minutes of its mean?

Here we'll solve for

P(3.73 - 0.28 < X < 3.73 + 0.28)

= F(3.73 + 0.28) - F(3.73 + 0.28)

= 2*0.28/1.3 = 0.430769

= 0.4308 -- Approximated

5 0
3 years ago
PLEASE HELP!!!:)). The area of ​​the trampezoid is 100dm and the bases are 2.1m and 1.9m. Calculate the height of the trampezoid
mixas84 [53]

Answer:

Well, the only thing you should do is to use the formula.

if the bases are: a, b

and the height is=h

Then, this is your formula, S=½(a+b)×h

Step-by-step explanation:

Aight,

100dm=10m

S=10m

now, the formula

10=½(2.1+1.9)×h===> 20=4h==> h=5m

5 0
3 years ago
Distrubutive property<br> (m-3)(-10)?
mrs_skeptik [129]

Answer: -10m + 30

Step-by-step explanation:

<u>Given expression</u>

(m - 3) (-10)

<u>Expand parentheses and apply the distributive property</u>

=m · (-10) - 3 · (-10)

<u>Simplify by multiplication</u>

=\boxed{-10m+30}

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
The smallest of three consecutive integers is added to four times the largest integer; the result so obtained is 15 less than th
Anton [14]

Answer:

Let the three consecutive integers be x,x+1,x+2

ATQ

x+2(x+2)+15=4(x+1)

=3x+19=4x+4

= x=15

..... Hence. The nos. Are 15,15+1=16 and 15+2=17

Step-by-step explanation:

3 0
3 years ago
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