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3 years ago

14

In Kim’s homeroom, 4 students have no siblings, 9 students have

2 answers:

timama [110]3 years ago

8 0

Answer:

Yes because there is an 82.6% chance of a student chosen at random having one or more siblings.

Step-by-step explanation:

There are a total of 23 students of which 19 have 1 or more siblings. This means there's a 82.6% (19 is what percentage of 23) chance that a student chosen at random will have one or more siblings. Since this percentage is significantly high we can say it's likely that a student chosen at random will have 1 or more siblings.

Papessa [141]3 years ago

5 0

(9+8+2)/(4+9+8+2)=19/23=82%
Therefore very likely

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Find dy/dx using implicit differentiation<br> cos x + sin y = 1

777dan777 [17]

Differentiate both sides with respect to <em>x</em>, using the chain rule for the sine term:

$\cos(x) + \sin(y) = 1$

$\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0$

Solve for d<em>y</em>/d<em>x</em> :

$-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}$

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3 years ago

There are many cylinders for which the height and radius are the same value. Let

VashaNatasha [74]

Answer:

Relation between V and c is represented as:

$V = \pi c^{3}$

When c is halved, V becomes $\frac{1}{8}$ of its initial value.

Step-by-step explanation:

Height of cylinder = Radius of cylinder = c

Volume of cylinder = V

As per formula:

$V = \pi r^{2} h$

Where $r$ is the radius of cylinder and

$h$ is the height of cylinder

Putting $r = h =c$

$V = \pi c^{2} \times c\\\Rightarrow V = \pi c^{3} ......(1)$

The values of c is halved:

Using equation (1), New volume:

$V' = \pi (\dfrac{c}{2})^3\\\Rightarrow \dfrac{1}{8} \pi c^{3}$

By equation (1), putting $\pi \times c^{3} = V$

$V' = \dfrac{1}{8} \times V$

So, when c is halved, V becomes $\frac{1}{8}$ of its initial value.

3 0

3 years ago

A bicycle shop is selling $500 bikes at 10% off. If the sales tax is 7%, how much will the bike cost?

erma4kov [3.2K]

Answer:

The bike will cost $481.50

because

10% off of 500 is 50

so 500 - 50 = 450

Now include the sales tax which is

450 * 0.07 = 31.5

Now add the two totals to get

$481.50

7 0

3 years ago

Write an equivalent expression using the given property.

gayaneshka [121]

3xy -6x

just multiply 3x by y and 3x by -2

3 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

olasank [31]

Answer: $a_n=2(5)^{n-2}$

<u>Step-by-step explanation:</u>

The explicit rule for a geometric sequence is: $a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term and r is the ratio}$

The information provided is: a₁ = $\dfrac{2}{5}$ and r = 5

$a_n=\dfrac{2}{5}(5)^{n - 1}\\\\.\quad = 2(5)^{n-2}$

4 0

3 years ago