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3 years ago

What is the ratio 15 girls to 6 boys in simplest form?

Mathematics

2 answers:

Slav-nsk [51]3 years ago

8 0

6boys to 15 girls
Because it says that 15 girls on the top

Alenkinab [10]3 years ago

4 0

5 girls to 2 boys, it’s not asking for boys and girls

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Evaluate the line integral, where c is the given curve. c y3 ds, c.x = t3, y = t, 0 ≤ t ≤ 4

vivado [14]

The path $C$ is parameterized by

$\mathbf r(t)=\langle x(t),y(t)\rangle=\langle t^3,t\rangle$

with $0\le t\le4$ .

We have

$\dfrac{\mathrm d\mathbf r}{\mathrm dt}=\langle3t^2,1\rangle$
$\left\|\dfrac{\mathrm d\mathbf r}{\mathrm dt}\right\|=\sqrt{9t^4+1}$

So the line integral is

$\displaystyle\int_Cy^3\,\mathrm dS=\int_{t=0}^{t=4}t^3\sqrt{9t^4+1}\,\mathrm dt$

Substitute $u=9t^4+1$ , so that $\mathrm du=36t^3\,\mathrm dt$ .

$=\displaystyle\frac1{36}\int_{u=1}^{u=2305}\sqrt u\,\mathrm du$
$=\dfrac{2305^{3/2}-1}{54}$
$\approx2049.31$

3 0

3 years ago

An advisor to the mayor of a large city wants to estimate, within 3 minutes, the mean travel time to work for all employees who

Shkiper50 [21]

Answer:

Step-by-step explanation:

Given that an advisor to the mayor of a large city wants to estimate, within 3 minutes, the mean travel time to work for all employees who work within the city limits.

Let X be the random variable denoting the time for employees to travel within city limit

Std dev of X $= 12.25 minutes$

For 95% confidence interval Z critical 1.96 is used because population std dev is known

Margin of error $= 1.96*std error = 3 (given)$

i.e. $1.96(\frac{12.25}{\sqrt{n} } )=3$

where n is the desired sample size.

Simplify to get

$\frac{24.01}{\sqrt{n} } =3\\n=64.053$

Hence atleast 64 employees should he poll

8 0

4 years ago

Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t mod

gulaghasi [49]

Answer:

d. 4 seconds after the ball is kicked

Step-by-step explanation:

The height function can be factored as ...

h = -16t(t -4)

The values of t where h = 0 are 0 and 4.

The ball will reach the ground again 4 seconds after it is kicked.

6 0

3 years ago

You can invest $200 at 8% for 3 years. Find the simple interest.

Ira Lisetskai [31]

Answer:

$48

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year,

then, solving our equation

I = 200 × 0.08 × 3 = 48

I = $ 48.00

The simple interest accumulated

on a principal of $ 200.00

at a rate of 8% per year

for 3 years is $ 48.00.

4 0

3 years ago

Need help with problem

Fittoniya [83]

Answer:

Step-by-step explanation:

<h2>SINCE THE LINES ARE PARALLEL THEN ANGLE A AND ANGLE B ARE COREESPONDING TO EACH OTHER.</h2><h3>A = 7x + 24 </h3><h3>B= 3x+ 92</h3><h3>A=B</h3><h3>7x + 24 = 3x + 92 </h3>

7x - 3x = 92 - 24

4x = 68

x = 68 / 4

x =17

3 0

3 years ago

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