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3 years ago

Data set : 47,45,44,41,48

Mathematics

2 answers:

elena-s [515]3 years ago

6 0

Answer:

2.2

Step-by-step explanation:

2+0+1+4+4=11

count all of the numbers

11/5=2.2

Liono4ka [1.6K]3 years ago

5 0

Answer:

Step-by-step explanation:

Here is a reference

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r-ruslan [8.4K]

Answer:

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3 years ago

I don't know how to do this. Can someone explain how to please?

Natalija [7]

Answer:

f(5) = -2

Step-by-step explanation:

You look on the x-axis for 5 because f(5) means let x = 5. Then go down to the graph (the red zig-zaggy line) At the red line (you're still directly under the 5) look over to the y-axis to find the value. That's your answer. It is -2. The point (5, -2) is on the red graph.

f(5) = -2

3 0

2 years ago

Authur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189 to buy the new coat that he w

Nady [450]

Answer:

136+ m ≥ 189 is the required inequality : m: The earning in 4th week

Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least $189.

Step-by-step explanation:

The amount earned by Arthur in first 3 weeks = $136

The amount needed to buy a coat = AT LEAST $189

Let us assume the amount Arthur needs to earn more to buy coat = $m

⇒ $ 136 + Amount Earned in 4th week ≥ $189

⇒ 136+ m ≥ 189

The above equation is the NEEDED inequality of the given situation.

Now, solving for the value of m, we get:

136+ m ≥ 189

⇒ m ≥ 189 - 136 = 53

or, m ≥ $53

Hence, Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least 189.

3 0

3 years ago

Consider the following probability distribution function of the random variable X which represents the number of people in a gro

Troyanec [42]

Answer:

(a) 3.55

(b) 3.45 and 1.86

(d) 0.016

Step-by-step explanation:

The random variable <em>X</em> denotes the number of people in a group (party) at a restaurant.

(a)

The formula to compute the mean is:

$\mu=\sum {x\cdot P(X=x)}$

Consider the Excel sheet attached.

The mean is, 3.55.

(b)

The formula to compute the variance is:

$\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}$

Consider the Excel sheet attached.

Compute the variance as follows:

$\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}\\\\=16.05-(3.55)^{2}\\\\=3.4475\\\\\approx 3.45$

The variance is, 3.45.

Compute the standard deviation as follows:

$\sigma=\sqrt{\sigma^{2}}\\\\=\sqrt{3.45}\\\\=1.85742\\\\\approx 1.86$

The standard deviation is, 1.86.

(c)

Compute the probability that the next party will be over 4 people as follows:

$P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\=0.10+0.05+0.05+0.05\\\\=0.25$

Thus, the probability that the next party will be over 4 people is 0.25.

(d)

Compute the probability that the next three parties will each be over 4 people as follows:

It is provided that the three parties are independent.

P (Next 3 parties will be each over 4) = [P (X > 4)]³

$=(0.25)^{3}\\=0.015625\\\approx 0.016$

Thus, the probability that the next three parties will each be over 4 people is 0.016.

3 0

3 years ago

RS=15 and RT=18 then ST=

Alex787 [66]

Answer:

st = 30 or 270

Or, if assume these are line segments on a straight line, then our answer would be: ST = 3

3 0

3 years ago