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3 years ago

Question 1 of 10

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

5 0

Answer:

B. x ≥ 6

Step-by-step explanation:

The value √(x-6) is only defined for x ≥ 6, where the argument of the square root function is non-negative.

Similarly, the value √(x+3) is only defined for x ≥ -3.

The product can only be computed where both functions are defined:

(x ≥ 6) ∩ (x ≥ -3) = x ≥ 6

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The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,

galina1969 [7]

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

8 0

3 years ago

Sole the given inequality and graph it on the number line. -2x - 5 < 3

Anon25 [30]

Answer:

your answer would be X>-4

6 0

3 years ago

Susan is going to watch a movie in her collection she has 5 action movies 4comedies and 3 dramas she will randomly select one mo

Ivenika [448]

Answer:

9/12 or 75%.

Step-by-step explanation:

Let's first add the choices all up.

5+4+3= 12.

We have 12 movie choices in total.

Now, we know that we have 3 drama movie choices...so the chance we will choose drama is 3/12, but we are not finding that. We want the chance she will NOT choose drama, so that would be 9/12.

*Since the chance she will choose drama is 3/12, the chance she will not choose is 9/12. 9+3 is 12, the total amout.*

6 0

2 years ago

Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If

svetoff [14.1K]

Answer:

Her probability of success is 1/2

Step-by-step explanation:

Firstly, we have to calculate the area of the entire board

That would be the rectangle of the measure 50 cm by 40 cm

We have the area as the product of this two

That would be 50 * 40 = 2,000 cm^2

Now, the value calculated is the area of the entire possible landing area

Secondly, we need to get the area that counts as a success

that would be the area of the triangle that has a base of 50 cm and a height of 40 cm

The area of this is the product of the two divided by 2

we have this as ;

50 * 40 * 1/2 = 1,000 cm^2

So, her probability of success is simply the area of the triangle divided by the area of the rectangle

= 1000/2000 = 1/2

8 0

3 years ago

3. Last year, the numbers of calculators produced per day at a certain factory were normally distributed with a mean of 560 calc

Mademuasel [1]

Answer:

3. Last year, the numbers of calculators produced per day at a certain factory were normally distributed with a mean of 560 calculators and a standard deviation of 12 calculators.(C)

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ❤☺️☻♨️☻☺️❤

8 0

3 years ago