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3 years ago

Factorise the following 5y^2-20y-8z+2yz

Mathematics

1 answer:

andre [41]3 years ago

8 0

Answer:

$(5y+2z)(y-4)$

Step-by-step explanation:

$5y^2-20y-8z+2yz=\\5y^2-20y+2yz-8z=\\5y(y-4)+2z(y-4)=\\(5y+2z)(y-4)$

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BIG POINTS Please solve. Thanks!

Nitella [24]

9^1/3 * 3^x = 27^4/5

Rewrite 9 as 3^2

(3^2)^1/3 * 3^x = 27^4/5

Multiply the exponents in the first term:

3^2/3 * 3^x = 27^4/5

Use power rule to combine exponents:

3^(2/3 +x) = 27^4/5

Rewrite the 2nd term:

3^(2/3 +x) = (3^3)^4/5

Set the exponents only to equal:

2/3 + x = 3(4/5)

Solve for x:

simplify the right side:

2/3 + x = 12/5

Subtract 2/3 from both sides:

x = 26/15

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3 years ago

Which bracelet has the highest portion of gold? Bracelet: ______

Tanya [424]

Answer:

Step-by-step explanation:

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3 years ago

In the figure below, angles PQS and

trasher [3.6K]

Answe70

Step-by-step explanation:

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3 years ago

A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range

maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, $\hat p$ .

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Given:

n = 150

$\hat p$ = 0.68

The critical value of <em>z</em> for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for proportion as follows:

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)$

Thus, the reasonable range for the population mean is (61%, 75%).

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3 years ago

Which of these points is farthest from the origin?

Anastasy [175]

Answer:

d:-12,0

Step-by-step explanation:

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3 years ago