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3 years ago

Write Each Ratio as a Percent

Mathematics

1 answer:

irga5000 [103]3 years ago

7 0

Answer:

28%

80%

Step-by-step explanation:

hope this helps

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The tangent of the graph of y=<img src="https://tex.z-dn.net/?f=e%5E%7Bax%7D" id="TexFormula1" title="e^{ax}" alt="e^{ax}" align

bearhunter [10]

a) The tangent to $y=e^{ax}$ at $x=p$ has slope

$y' = ae^{ax} \implies y'(p) = ae^{ap}$

and $y=e^{ap}$ at this point. It passes through the origin, so its equation is

$y - 0 = ae^{ap} (x - 0) \implies y = ae^{ap} x$

It also passes through the point $(p,e^{ap})$ on the curve, so

$y - e^{ap} = ae^{ap} (x - p) \implies y = e^{ap} + ae^{ap} x - ape^{ap}$

By substitution,

$ae^{ap} x = e^{ap} + ae^{ap} x - ape^{ap} \implies e^{ap} = ape^{ap} \implies ap=1 \\\\ \implies \boxed{p=\dfrac1a}$

b) The normal to $y=e^{ax}$ at $x=2p$ has slope

$-\dfrac1{y'(2p)} = -\dfrac1{ae^{2ap}} = -1 \implies ae^{2ap} = 1$

It follows that

$ae^{2ap} = ae^2 = 1 \implies \boxed{a = \dfrac1{e^2} \text{ and } p = e^2}$

c) The tangent line equation is then

$y = \dfrac1{e^2} e^1 x \implies \boxed{y = \dfrac xe}$

7 0

2 years ago

At Bayside High School, 55% of the student body are boys. Thirty-five percent of the boys are on honor roll, and 40% of girls ar

BARSIC [14]

If 55% of the student body are boys, then 45% are girls.

35% of boys are on the honor roll, so 35% of 55% are on the honor roll.

40% of girls are on the honor roll, so 40% of 45% are on the honor roll.

So now we need to find each of those numbers...

35% of 55% =
.35 * .55 = .1925 multiply by 100 to convert to percent

19.25% of boys (in the student body) are on honor roll

40% of 45% =
.40 * .45 = .18 multiply by 100 to convert to percentage

18% of girls (in the student body) are on honor roll

Add the two together to get the total percentage of student body that is on the honor roll...

19.25% + 18% = 37.25%

Round to the nearest percent

37%

5 0

3 years ago

Read 2 more answers

Assume that women's heights are normally distributed with a mean given by mu equals 63.2 in, and a standard deviation given by

JulijaS [17]

a. Your answer is correct.

b. Divide the given value of sigma by √n where n = sample size = 7. Then perform the same calculation you did for part a. The probabiilty is 0.4427.

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4 years ago

Solve the simultaneous equations.

Vera_Pavlovna [14]

Answer:

x = 1.5 ; y = -0.5

Step-by-step explanation:

2x + 4y = 1 ---------------------(i)

3x - 5y =7 ----------------------(ii)

(i) * 5 10x + 20y = 5

(ii)*4 <u> 12x -20y = 28 </u>

add, 22x = 33 { here y will be eliminated}

x = 33/22 = 3/2

x = 1.5

Put the value of x in equation (i)

2*1.5 + 4y = 1

3 + 4y = 1

4y = 1-3

4y = -2

y = -2/4 = -1/2

y = -0.5

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3 years ago

To which sets of numbers does 1 1/2 belong to

baherus [9]

Answer:

A rational number because it's negative it can't be natural and cuz it's fraction it can't be whole nor integers.

<em>p.s. thanks to salma1148 for the answer</em>

7 0

3 years ago