19.214÷13 <br> pls someone help me

There are 10 sweets in a bag.

Valentin [98]

Answer:

See Explanation Below

Step-by-step explanation:

Given

Total Sweets = 10

Red = 4

Green = 2

Yellow = 3

Purple = 1

Required

a & b

The question is not properly presented; however the solution is as follows;

A.

Let P(Yellow) represent the probability of selecting a yellow sweet and n(Yellow) represent the number of Yellow sweets;

$P(Yellow) = \frac{n(Yellow)}{Total}$

$P(Yellow) = \frac{4}{10}$

$P(Yellow) = 0.4$

So, whichever letter that shows $0.4$ or $\frac{4}{10}$ is the probability of choosing a yellow sweet

B.

Let P(Orange) represent the probability of selecting an orange sweet and n(Orange) represent the number of orange sweets;

Since, there's no orange sweet in the bag;

$n(Orange) = 0$

$P(Orange) = \frac{n(Orange)}{Total}$

$P(Orange) = \frac{0}{10}$

$P(Orange) = 0$

In probability; opposite probabilities add up to 1;

Let P(Not\ Orange) represent the probability of choosing a sweet that is not orange

$P(Not\ Orange) + P(Orange) = 1$

Substitute $P(Orange) = 0$

$P(Not\ Orange) + 0 = 1$

$P(Not\ Orange) = 1$

So, whichever letter that shows 0 is the probability of choosing a sweet that is not orange

6 0

3 years ago

Verify that the following equation is an identity. (1/sinx) - (1/cscx) = cscx - sinx

Anarel [89]

Manipulating the left side of the equation, we obtain:

$\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}$

Using that $\csc x=\dfrac{1}{\sin x}$ :

$\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\dfrac{1}{\sin x}}=\dfrac{\csc x-\sin x}{1}=\csc x-\sin x\\\\\boxed{\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\csc x-\sin x}~~\blacksquare$

6 0

3 years ago

Read 2 more answers

A rental company charges $55 a day and 20 cents for a mile for renting a truck. Michael rents a truck for 4 days, and his bill c

Verizon [17]

Michael drove 1625 miles.

4 0

3 years ago

If f(x) = -7x + 5x2 + 10, what does f(-2) equal?

Iteru [2.4K]

Answer:

44

Step-by-step explanation:

f(x) = -7x + 5x^2 + 10

f(-2) = -7(-2) + 5(-2)^2 + 10

= 14 + 20 + 10

= 44

6 0

3 years ago

Assume c and d function independently. for the system to function, either c or d must function.

almond37 [142]

For the "system" to function, we require that $C\cup D$ occurs (i.e. the event that either $C$ or $D$ function properly). This occurs with probability

$\mathbb P(C\cup D)=\mathbb P(C)+\mathbb P(D)-\mathbb P(C\cap D)$

but since $C$ and $D$ are independent,

$\mathbb P(C\cup D)=\mathbb P(C)+\mathbb P(D)-\mathbb P(C)\mathbb P(D)$

We're given that $\mathbb P(C^C)=0.08$ and $\mathbb P(D^C)=0.12$ , so

$\mathbb P(C\cup D)=(1-0.08)+(1-0.12)-(1-0.08)(1-0.12)=0.9904$

If $\mathbb P(C^C)=\mathbb P(D^C)=p$ , then

$\mathbb P(C\cup D)=(1-p)+(1-p)-(1-p)^2=1-p^2$

4 0

4 years ago

19.214÷13 pls someone help me