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3 years ago

What’s the value of the ratio 21:45

Mathematics

2 answers:

katrin [286]3 years ago

6 0

Answer:

7:15

Step-by-step explanation:

21:45

21/3 = 7 and 45/3 = 15

Thus, 21:45 ratio simplified is 7:15

hichkok12 [17]3 years ago

3 0

Answer:

im not sure but I think it's 1.5

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The area that lies between Z=-2.61 and Z=0 is

muminat

Answer:

2.61

Step-by-step explanation:

To find the amount of space between the two points, subtract -2.61 from 0.

0 - (-2.61) Distribute the negative

0 + 2.61 Add

2.61

8 0

3 years ago

Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

1 year ago

Help me plez and show work

zysi [14]

Sorry i cant answer with the cracks...can't see

6 0

3 years ago

Please help! I have no idea how to do this.

dlinn [17]

11. y=-1/3x-4

Plug the slope into m in y=mx+b and then plug in your point and solve for b. You get C

12. Parallel means it has the same slope or the same m, so the -1/2 stays the same and you plug that and your point into the y=mx+b and solve for b again. You get D, y=-1/2x-9

13. Perpendicular means that the slope is the opposite reciprocal so you flip it and multiply it by -1. You then plug that in for your slope and plug in your points and you get A, y=9x+13

3 0

3 years ago

David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidenc

shusha [124]

Answer:

0.6535

Step-by-step explanation:

Given that during a one-hour period twenty-five customers buy gasoline at this station.

Let X be the no of persons out of these 25 who pay by cash.

X has two outcomes and each trial is independent of other.

Hence X is binomial (n=25, p=0.40)

Required probability

= $P(X\geq 10)\\=P(10)+P(11)+...+P(25)\\=\Sigma_{10}^{25} 25Cr (0.4)^r (1-0.4)^{25-r}$

=0.6535

7 0

3 years ago