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3 years ago

Pls help me!! Best answer gets brainliest!

Mathematics

2 answers:

zloy xaker [14]3 years ago

8 0

P= 33

you’re welcome <3

Alekssandra [29.7K]3 years ago

7 0

$\implies {\blue {\boxed {\boxed {\purple {\sf {p\:=\:33}}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

$21 = p - 12$

➼ $\: p = 21 + 12$

➼ $\: p = 33$

$\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}$

$21 = p - 12$

➼ $\: 21 = 33 - 12$

➼ $\: 21 = 21$

➼ $\: L.H.S.=R. H. S$

Hence verified.

$\bold{ \green{ \star{ \orange{Mystique35☂}}}}⋆$

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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

If a polynomial function f(x) has roots 3+root5 and -6, what must be a factor of f(x)? (X+(3-root5) (x-(3-root5)) (x+(5+root3))

belka [17]

Answer:

$(x-(3+\sqrt5))$ or $(x-3-\sqrt5)$ is a factor of the given polynomial.

Step-by-step explanation:

Let us learn the concept with an example first.

Let the polynomial be a quadratic function $g(x)$ .

$g(x) = x^{2} -5x+6$

The roots of $g(x)$ are 2 and 3.

Putting $x= 2\ in \ g(x)$

$2^2-5\times 2+6 = 4-10+6 =0$

Putting $x= 3\ in \ g(x)$

$3^2-5\times 3+6 = 9-15+6 =0$

Putting x = 2 or x = 3, g(x) = 0 $\therefore$ The roots of equation g(x) are 2 and 3.

Now, let us try to factorize g(x):

$x^{2} -2x-3x+6\\\Rightarrow x(x -2)-3(x-2)\\\Rightarrow (x-3)(x-2)$

so, the equation can be written as:

$g(x) = x^{2} -5x+6=(x-3)(x-2)$ where 3 and 2 are the roots of equation.

The factors are (x-3) and (x-2).

$\therefore$ for the polynomial f(x) which has roots $3+\sqrt5\ and\ -6$ will have a factor:

$(x-(3+\sqrt5))$ or $(x-3-\sqrt5)$

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