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2 years ago

Please help me asap

Mathematics

1 answer:

AysviL [449]2 years ago

3 0

Answer:

The second option: Waxing crescent - first quarter; Waning gibbous - third quarter

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Suppose a deck of cards contains 13 cards:

ira [324]

Answer:

$P(G_1) = \frac{5}{13}$

$P(G_2) = \frac{1}{3}$

$P(X \ge 1) = \frac{25}{39}$

Step-by-step explanation:

Given

$G = 5$

$R = 4$

$B = 4$

$n = 13$

Solving (a): $P(G_1)$

This is calculated as:

$P(G_1) = \frac{G}{n}$

$P(G_1) = \frac{5}{13}$

Solving (b): $P(G_2)$

This is calculated as:

$P(G_2) = \frac{G - 1}{n - 1}$ -- this is so because the selection is without replacement

$P(G_2) = \frac{5 - 1}{13 - 1}$

$P(G_2) = \frac{4}{12}$

$P(G_2) = \frac{1}{3}$

Solving (c): $P(X \ge 1)$

Using the complement rule, we have:

$P(X \ge 1) = 1 - P(X = 0)$

To calculate $P(X = 0)$ , we have:

$G = 5$ --- Green

$G' = 8$ ---- Not green

The probability that both selections are not green is:

$P(X = 0) = P(G'_1) * P(G'_2)$

So, we have:

$P(X = 0) = \frac{G'}{n} * \frac{G'-1}{n-1}$

$P(X = 0) = \frac{8}{13} * \frac{8-1}{13-1}$

$P(X = 0) = \frac{8}{13} * \frac{7}{12}$

Simplify

$P(X = 0) = \frac{2}{13} * \frac{7}{3}$

$P(X = 0) = \frac{14}{39}$

Recall that:

$P(X \ge 1) = 1 - P(X = 0)$

$P(X \ge 1) = 1 - \frac{14}{39}$

Take LCM

$P(X \ge 1) = \frac{39 -14}{39}$

$P(X \ge 1) = \frac{25}{39}$

7 0

2 years ago

What is the value of the expression when y = 2 2-y/4+y + 3(y+2)/y

nexus9112 [7]

Answer:

=2y+22

Step-by-step explanation:

What is the value of the expression when y = 2 2-y/4+y + 3(y+2)/y

Sorry if I am wrong

7 0

2 years ago

In the function y+3=(1/3x)^2+1 what effect does the number 1/3 have on the graph as compared to the graph of y=x^2

egoroff_w [7]

Answer:

what graph?

Step-by-step explanation:

i cant help unless a see a screen shoot?

7 0

2 years ago

Read 2 more answers

Suppose you invest $50 a month in an annuity that earns 4% APR compounded monthly. How much money will you have in this account

skelet666 [1.2K]

To solve this we are going to use formula for the future value of an ordinary annuity: $FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]$
where
$FV$ is the future value
$P$ is the periodic payment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the number of years

We know from our problem that the periodic payment is $50 and the number of years is 3, so $P=50$ and $t=3$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{4}{100}$
$r=0.04$
Since the interest is compounded monthly, it is compounded 12 times per year; therefore, $n=12$ .
Lets replace the values in our formula:
$FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]$
$FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]$
$FV=1909.08$

We can conclude that after 3 years you will have $1909.08 in your account.

4 0

2 years ago

Read 2 more answers

Find the diffrence between -2 and 7 on the number line

lozanna [386]

Answer:

9 units

Step-by-step explanation:

Calculate the absolute value of the difference, that is

| - 2 - 7 | = | - 9 | = 9 , or

| 7 - (- 2) | = | 9 | = 9

5 0

2 years ago

Please help me asap​

Please help me asap