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3 years ago

L={l,m,n,o}J={i,j,k,l,m}

Mathematics

2 answers:

guapka [62]3 years ago

4 0

Answer:

L ∪ J = {i, j, k, l, m, n, o}

Step-by-step explanation:

L = {l, m, n, o} J = {i, j, k, l, m}

The union of two sets is a set that contains every element of either set.

L ∪ J = {i, j, k, l, m, n, o}

Aneli [31]3 years ago

4 0

Answer:

LUJ={l,m,n,o,i,j,k}

Step-by-step explanation:

You have to the elements that in both sets and write them down without repeating.

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The owner of a local golf course wants to estimate the difference between the scores of golfers on his golf course and the score

Olenka [21]

Answer:

(8) The correct option is (3).

(2) The correct option is (1).

Step-by-step explanation:

(8)

The hypothesis can be defined as:

H₀: There is no difference between the two population means, i.e. μ₁ = μ₂.

Hₐ: There is a difference between the two population means, i.e. μ₁ ≠ μ₂.

The decision rule of the test based on confidence interval is:

If the (1 - α) % confidence interval consists the null hypothesis value then the null hypothesis is not rejected. and vice-versa.

The 90% confidence interval for the paired difference between means is, (-3.31, 14.74).

The interval consists the null value, 0.

Thus, the null hypothesis was failed to be rejected.

Conclusion:

No significant difference exists between the average difference in scores and the differences were calculated as 0.

Thus, the correct option is (3).

(2)

A (1 - α) % confidence interval implies that there is (1 - α) % chance of the population parameter to be contained in this interval.

Or if 100 such intervals are constructed then (1 - α) of these intervals will consist the true parameter value.

The 99% confidence interval for the difference between means is, (-0.124, 13.85).

This interval implies that the true mean difference between the two populations lies in this interval with probability 0.99.

Conclusion:

We are 99% confident that the difference between the average age of all men and all women who play golf at the course is between -0.124 and 13.85.

Thus, the correct option is (1).

4 0

3 years ago

The diagonal of a square is x what is the perimeter of the square

RSB [31]

Answer:

2 $\sqrt{2}$ x

Step-by-step explanation:

The diagonal divides the square into 2 right angles with legs s and hypotenuse x

Using Pythagoras' identity on one of the right triangles, then

s² + s² = x²

2s² = x² ( divide both sides by 2 )

s² = $\frac{x^2}{2}$ ( take the square root of both sides )

s = $\sqrt{\frac{x^2}{2} }$ = $\frac{x}{\sqrt{2} }$

Thus

perimeter = 4s = 4 × $\frac{x}{\sqrt{2} }$ = $\frac{4x}{\sqrt{2} }$

Multiply numerator/ denominator by $\sqrt{2}$

perimeter = $\frac{4x\sqrt{2} }{2}$ = 2 $\sqrt{2}$ x

5 0

3 years ago

A carpenter has a piece of wood that is 10 yards long anda piece that is 5 feet long. how many feet of wood does the carpenter h

stellarik [79]

A piece of wood 10 yards long

and

A piece of wood 5 feet long

He has two pieces of wood. How much does he have in all?

5+10 = 15

15 feet of wood

6 0

3 years ago

Y=9x-2 & 3x-2y=7 what is the value of x of the given system of equation

andre [41]

Y=9x-2
3x-2y=7
3x-18x+4=7
-15x=3
x=-1/5
y= -19/5

6 0

4 years ago

Reggie will finance a car with a sticker price of $9,250. he pays $1,500 down payment he finances the car and makes 48 monthly p

Minchanka [31]

Answer: Reggie will end up paying $9900 for the car.

Step-by-step explanation:

Down-payment = $1500

48 monthly payments x $175/month = $8400

Total cost = $1500 + $8400 = $9900

5 0

4 years ago