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Alexandra [31]
3 years ago
10

How much granola will each person get if 4 people share 5pound of granola equally?

Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

5/4

Step-by-step explanation:

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What is the difference quotient of the function g(x) = 4^x
lidiya [134]

Answer:

First choice

Step-by-step explanation:

The difference quotient in general is  \frac{g(x+h)-g(x)}{h}. To get an expression for  g(x+h), replace  x  with x + h.

For this question,

\frac{4^{x+h}-4^x}{h}=\frac{4^x\cdot4^h-4^x}{h}

Factor  4^x out of the numerator.

\frac{4^x(4^h-1)}{h}

8 0
3 years ago
There are 210210210 students in a twelfth grade high school class. 909090 of these students have at least one sister and 1051051
BlackZzzverrR [31]

Answer:

(1) The value of P (A) is 0.4286.

(2) The value of P (B) is 0.50.

(3) The value of P (A ∩ B) is 0.2143.

(4) The the value of P (B|A) is 0.50.

(5) The events <em>A</em> and <em>B</em> are independent.

Step-by-step explanation:

The events are defined as follows:

<em>A</em> = a student in the class has a sister

<em>B</em> = a student has a brother

The information provided is:

<em>N</em> = 210

n (A) = 90

n (B) = 105

n (A ∩ B) = 45

The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

P(X|Y)=\frac{P(A\cap Y)}{P(Y)}

If the events <em>X</em> and <em>Y</em> are independent then,

P(X|Y)=P(X)

(1)

Compute the probability of event <em>A</em> as follows:

P(A)=\frac{n(A)}{N}\\\\=\frac{90}{210}\\\\=0.4286

The value of P (A) is 0.4286.

(2)

Compute the probability of event <em>B</em> as follows:

P(B)=\frac{n(B)}{N}\\\\=\frac{105}{210}\\\\=0.50

The value of P (B) is 0.50.

(3)

Compute the probability of event <em>A</em> and <em>B</em> as follows:

P(A\cap B)=\frac{n(A\cap B)}{N}\\\\=\frac{45}{210}\\\\=0.2143

The value of P (A ∩ B) is 0.2143.

(4)

Compute the probability of <em>B</em> given <em>A</em> as follows:

P(B|A)=\frac{P(A\cap B)}{P(A)}\\\\=\frac{0.2143}{0.4286}\\\\=0.50

The the value of P (B|A) is 0.50.

(5)

The value of P (B|A) = 0.50 = P (B).

Thus, the events <em>A</em> and <em>B</em> are independent.

6 0
3 years ago
PLEASE HELP!!
Ratling [72]

All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).

These probabilities are computed as 1 over all the possible outcomes.

(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.

\dfrac{1}{52}\approx 0.019 = 1.9\%

(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.

\dfrac{8}{52}=\dfrac{2}{13}\approx 0.154 = 15.4\%

(c) You have two "good" outcomes out of 5, so your probability is 2/5.

\dfrac{2}{5}=0.4=40\%

3 0
3 years ago
X² + 2x – 1 = 0 in English words.
Svet_ta [14]

Answer:

x squared plus two times x minus one = zero.

Step-by-step explanation:

(This is a Quadratic equation in the variable x).

7 0
3 years ago
Read 2 more answers
A parachutist's rate during a free fall reaches 180 kilometers per hour. What is this rate in meters per second? At this rate, h
Bumek [7]

Answer:

50 m/s

250 m

Step-by-step explanation:

180 km/hr × (1000 m / km) × (1 hr / 3600 s) = 50 m/s

50 m/s × 5 s = 250 m

5 0
3 years ago
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