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3 years ago

Factorise :x^2y^2-16

Mathematics

1 answer:

Lyrx [107]3 years ago

5 0

Answer:

(xy - 4)(xy + 4).

Step-by-step explanation:

The is the difference of 2 squares.

a^2 - b^2 = (a - b)(a + b: so we have:

x^2y^2 - 16 = (xy - 4)(xy + 4)

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A candy store makes strawberry cream chocolates every 8 days and white chocolate truffles every 12 days. The candy store made bo

Elanso [62]

Answer:

on the 24th day they both will make chocolate the LCM of 8 and 12 is 24

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3 years ago

Read 2 more answers

A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the

Anni [7]

Answer:

$8.68,13.16$

Step-by-step explanation:

Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.

Mean of the sample is,

$\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92$

Standard deviation of the sample is,

$\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6$

The confidence interval will be,

$=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}$

Here,

Z for 95% confidence interval is 1.96, and n is sample size which is 24.

Putting the values,

$=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}$

$=10.92 \pm 2.24$

$=8.68,13.16$

Confidence interval is used to express the degree of uncertainty associated with a sample.

95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.

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3 years ago

Ratio and proportion :21:2x=7:10

jenyasd209 [6]

Answer:

x=15

Step-by-step explanation:

21:2x=7:10 can be rewritten as 21/2x=7/10

21/2x=7/10, cross multiply

= 14x=210

x=15

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2 years ago

Identify the question that is NOT statistical.

avanturin [10]

<span>A)What is the maximum number of swimmers allowed on a swim team?</span>

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3 years ago

In the figure, Δ ABC Δ XYZ. What is the perimeter of ΔABC? Show your work.

slava [35]

Answer:

Step-by-step explanation:

∆ABC~ ∆XYZ

AB= 11 that is half of XY = 22

therefore XZ/2 = AC (base) = 32/2 = 16

and YZ /2 = BC(hypotenuse) = 44/2 = 22

(a= 11, b= 16, c= 22)

perimeter of a triangle

P = a+b+c

P= 11+16+22= 49

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3 years ago

Factorise :x^2y^2-16​

Factorise :x^2y^2-16