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2 years ago

Zoey made 8

1 answer:

5 0

Zoe can not make enough using 3/4 of a cup if she did she would only have enough for 11 people I suggest using a 1/2 a cup then you will have enough for 17 people so that will be enough for 13 people

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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

a 40 gram sample of a substance that's used for drug research has a k-value of 0.1446. find the substance's half life in days

Novay_Z [31]

The applicable decay formula is:N = No*e^(-kt)WhereN = Mass left after time tNo = Original massk = constantt = half lifeUsing the values given,N/No = e^(-0.1446t) = 1/2ln (1/2) = -0.1446 t *ln e^1-0.6931 = -0.1446 tt = 0.6331/0.1446 = 4.79 daysTherefore, half-life is 4.8 days.

3 0

3 years ago

Read 2 more answers

76 divided by 3 area model

Nata [24]

Answer:

25.3

Step-by-step explanation:

8 0

3 years ago

Pls help i will give 5 starts and brainliest question is down below 9:22

OleMash [197]

4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.

5) B

Area of a triangle = ½ bh.

where b = base &

h = height.

Area of outer shape = (½ x 16 x 12) in^2.

= 96 in^2.

Area of unshaded inner shape = (½ x 3 x 4) in^2.

= 6 in^2.

Area of shaded region = (96 – 6) in^2.

= 90 in^2.

4 0

2 years ago

Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough?

mixas84 [53]

Answer: Each piece is 1 2/3 inch length.

Step-by-step explanation:

Total length of cookie dough =10-inch

Since it is being into divided into 6 equal-length pieces

We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.

6 0

3 years ago