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3 years ago

10

A clothing retailer is gathering data on the amount of time each customer spends shopping in its stores. Each location collected

20 pieces of data and will compile that data to determine a population mean. One location has a sample mean of 32.5.
Which statement must be true about this situation?

A.
The population mean is also 32.5.
B.
There is not enough information to make a conclusion about the population mean.
C.
The population mean must be greater than 32.5.
D.
The population mean must be less than 32.5.

1 answer:

Evgen [1.6K]3 years ago

5 0

Answer:

B

Step-by-step explanation:

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Find the value of x. Round to the nearest tenth.

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Answer:

Which of the following sentences contains an infinitive?

A.

Travis practiced pitching to the side of the house until his mom got mad.

B.

Elyza planned to take the train to the fairgrounds on Thursday afternoon.

C.

Meghan led her horse to the barn just before the big thunderstorm hit.

D.

Charlotte took her cousin Clay to the movies each year on his birthday.

Which of the following sentences contains an infinitive?

A.

Travis practiced pitching to the side of the house until his mom got mad.

B.

Elyza planned to take the train to the fairgrounds on Thursday afternoon.

C.

Meghan led her horse to the barn just before the big thunderstorm hit.

D.

Charlotte took her cousin Clay to the movies each year on his birthday.

Step-by-step explanation:

Which of the following sentences contains an infinitive?

A.

Travis practiced pitching to the side of the house until his mom got mad.

B.

Elyza planned to take the train to the fairgrounds on Thursday afternoon.

C.

Meghan led her horse to the barn just before the big thunderstorm hit.

D.

Charlotte took her cousin Clay to the movies each year on his birthday.

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3 years ago

HELP PLEASE !!! Place each expression under the equivalent expression in the table.

tino4ka555 [31]

Answer:

Option 3,5 are under first expression and Option 1,2 are under second expression.

Step-by-step explanation:

1). $\frac{(x-4)(x+2)}{x^{2}+5x+6}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}$

$=\frac{(x-4)(x+2)}{(x+3)(x+2)}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}$ $=\frac{(x-4)}{(x+3)}+\frac{-3x^{2}+24x-20}{(x+3)(4x-5)}$

$=\frac{(x-4)(4x-5)-3x^{2}+24x-20}{(x+3)(4x-5)}$

$=\frac{4x^{2}-5x-16x+20-3x^{2}+24x-20}{(x+3)(4x-5)}$ $=\frac{x^{2}+3x}{(x+3)(4x-5)}$

$=\frac{x(x+3)}{(x+3)(4x-5)}=\frac{x}{4x-5}$

2). $\frac{3x}{4x-5}-\frac{4x^{2}}{8x^{2}-10x}=\frac{3x}{4x-5}-\frac{4x}{8x-10}$ $=\frac{3x(8x-10)-4x(4x-5)}{(4x-5)(8x-10)}$

$=\frac{24x^{2}-30x-16x^{2}+20x}{(4x-5)(8x-10)}$

$=\frac{8x^{2}-10x}{(4x-5)(8x-10)}$ $=\frac{x(8x-10)}{(4x-5)(8x-10)}=\frac{x}{4x-5}$

3). $\frac{6x^{2}}{x^{2}-7x+10}\div \frac{2x}{x-5}$

$=\frac{6x^{2}}{x^{2}-7x+10}\times \frac{x-5}{2x}$

$=\frac{3x(x-5)}{x^{2}-7x+10}$

$=\frac{3x(x-5)}{(x-5)(x-2)}=\frac{3x}{x-2}$

4). $\frac{-x}{4x-5}-\frac{4x^{2}}{16x^{2}-22x}$

$=\frac{-x}{4x-5}-\frac{2x}{8x-11}$

$=\frac{-x(8x-11)-2x(4x-5)}{(4x-5)(8x-11)}$

$=\frac{-8x^{2}+11x-8x^{2}+10x}{(4x-5)(8x-11)}$

$=\frac{-16x^{2}+21x}{(4x-5)(8x-11)}=\frac{-x(16x-21)}{(4x-5)(8x-11)}$

5). $\frac{3x^{2}}{x+3}\times \frac{2(x+3)}{2x^{2}-4x}$

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

6). $\frac{5x^{2}}{x-2}\times \frac{2x+6}{8x^{2}-4x}$

$=\frac{10x^{2}(x+3)}{4x(x-2)(2x-1)}$

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An isosceles trapezoid has a perimeter of 108 metres. Its shorter base measures 11.5 metres and its longer base measures 28.1 me

kati45 [8]

The length of one of the remaining sides is 34.20 meters.

<h3>What is the length?</h3>

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Perimeter of an isosceles trapezoid = sum of lengths of sides of a trapezoid

length of shorter base + length of longer base + (2 x legs)

108 = 11.5 + 28.1 + (2 x legs)

108 = 39.60 + (2 x legs)

108 - 39.60 = (2 x legs)

68.40 = (2 x legs)

leg = 68.40 / 2

= 34.20 meters

To learn more about trapezoids, please check: brainly.com/question/25748893

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