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3 years ago

Check for Understanding: Find the perimeter and area of the figure below.

Mathematics

1 answer:

luda_lava [24]3 years ago

8 0

The perimeter is 76 but i don’t remember how to find the area

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Write 2.099 in expanded form using a fraction

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3 years ago

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attashe74 [19]

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3 years ago

9-4n in an arithmic sequence

Nastasia [14]

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3 years ago

The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x

DaniilM [7]

Answer:

The equation x = y-8

The equation (y-8) y = 240

The first number x = 12 and second number y =20

Step-by-step explanation:

Explanation:-

Step(l):-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given data x y = 240 …(l)

Given data the first number is 8 less than the second number.

x = y-8...(ll)

Substitute (ll) in equation (l) , we get

(y-8) y = 240

$y^{2} -8y -240 =0$

$y^{2} -20y+12y -240 =0$

$y(y -20)+12(y -20) =0$

$(y +12)(y -20) =0$

y = -12 and y = 20

Y= -12 is not satisfied

we can choose y = 20

Step(ll):-

Given data x =y-8

substitute value y = 20 in x = y -8

x = 20-8 = 12

Final answer:-

The first number x = 12 and second number y =20

4 0

3 years ago

Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of tim

DaniilM [7]

Answer:

$t = 0.875$

Step-by-step explanation:

Given

Brand A Brand B

$n_ 1= 12$ $n_2 = 12$

$\bar x_1 = 21.8$ $\bar x_2 = 18.9$

$\sigma_1 = 8.7$ $\sigma_2 = 7.5$

Required

Determine the test statistic (t)

This is calculated as:

$t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}$

Calculate s using:

$s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}$

The equation becomes:

$s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}$

$s = \sqrt{\frac{1451.34}{22}}$

$s = \sqrt{65.97}$

$s = 8.12$

So:

$t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}$

$t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}$

$t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}$

$t = \frac{21.8 - 18.9}{8.12 * 0.408}}$

$t = \frac{2.9}{3.31296}}$

$t = 0.875$

3 0

3 years ago