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Nata [24]
3 years ago
11

A coordinator will select 6 songs from a list of 12 songs to compose an event's musical entertainment lineup. How many different

lineups are possible
Mathematics
1 answer:
Katen [24]3 years ago
8 0

Answer:

There are 924 different possible line ups

Step-by-step explanation:

Here, we want to find the number of different line ups possible

That can be found by using the combination system

Mathematically, in this case, that will be 12 C 6

= 12!/6!6! = 924

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Help!!!!!!!!!!!!!!!!!! (#8)
anastassius [24]
Area of a semicircle  = \frac{ \pi r^2}{2}
r = 7 cm
pi = 3.14

Area = 3.14 * 7^2 / 2
Area = 3.14 * 49 / 2
Area = 153.86 / 2
Area = 76.93 cm^2  <<<<<  Answer
4 0
3 years ago
A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is
seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

<em>They score is above 24 on the math portion of the​ exam</em>

<em>b) </em>

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

<u>Step-by-step explanation:</u>

<u><em>Step(i)</em></u>:-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

test statistic

Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }

Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

<em>They score is above 24 on the math portion of the​ exam</em>

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at  0.05% level of significance

<em>They score is below 24 on the math portion of the​ exam</em>

6 0
3 years ago
You roll a fair six-sided die twice. Find the probability of rolling a 2 the first time and a number greater than 6 the second t
borishaifa [10]

Answer:

the number 2 is present on one side of the six-sided die giving you a 1 in 6 chance of rolling a 2.

8 0
3 years ago
Please can you help me??
yulyashka [42]

Answer:

Step-by-step explanation:

you put the -9 above where it says the -9 and same to the -3

or to solve the equation:

       Divide both sides of the equation by the same term

−9=−3−9−3=−3−3

        Divide the numbers

−9−3=−3−3

3=−3−3

Cancel terms that are in both the numerator and denominator

Move the variable to the left           =3x=3

Solution  =3

8 0
3 years ago
If 2x+6y= a what is the value of 3x+9y
statuscvo [17]

Answer:

1.5a

Step-by-step explanation:

If you multiply 1.5 by 2 and 6 it would be 3+9

4 0
3 years ago
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