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3 years ago

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Mathematics

1 answer:

Furkat [3]3 years ago

6 0

Answer:

120 people [see below]

Step-by-step explanation:

48 out of 120 people like baseball.

That is about 48/120 = 0.4 [40%]

Now, 3/5th of THOSE, play baseball, so

0.4 * 3/5 = 0.4 * 0.6 = 0.24 [24%].

Thus, we have seen that around 24% of total people taken would play baseball.

Now, we take 500 people, so 24% of them would be expected to play baseball.

That is 0.24 * 500 = 120 people

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The graph of f(x) = x2 was transformed to create the graph of g(x) = (x − 7.5)2. Which of these describes this transformation?

QveST [7]

Answer:

A. A horizontal shift to the right 7.5 units

Step-by-step explanation:

Replacing x with x-7.5 shifts the graph 7.5 units to the <em>right</em>.

In general, g(x) = f(x-h)+k will shift h units right and k units up. In this problem there is no vertical shift.

6 0

2 years ago

PLEASE HELP ME:<br><br> Find the perimeter of the figure. Round to the nearest tenth.

Ksenya-84 [330]

Answer:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>

distance formula:

$d = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} }$

<h3>1) distance of AB</h3>

A(-3,0) B(2,4)

x1 = -3 x2 = 2

y1 = 0 y2 = 4

(substitute the values into the distance formula)

$ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} }$

$ab = \sqrt{5 {}^{2} + 4 {}^{2} }$

$ab = \sqrt{41}$ AB = 6.4 units

<h3>2) distance of BC</h3>

B(2,4) C(3,1)

x1 = 2 x2 = 3

y1 = 4 y2 = 1

$bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} }$

$bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} }$

$bc = \sqrt{10}$

BC = 3.2 units

<h3>3) distance of CD</h3>

C(3,1) D(-4,-3)

x1 = 3 x2 = -4

y1 = 1 y2 = -3

$cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} }$

$cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }$

$cd = \sqrt{65}$

CD = 8.1 units

<h3>4) distance of AD</h3>

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

$ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }$

$ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} }$

$ad = \sqrt{10}$

AD = 3.2 units

<h2>perimeter of figure</h2>

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units

8 0

2 years ago

What is the numerical expression for 30 more than 20

pantera1 [17]

30/20 is one way 30>20

4 0

2 years ago

Simplify: (3^5)^2 / 3^-2<br><br><br>A) 3^10<br><br>B) 3^9<br><br>C) 3^12<br><br>D) 3^8

lesya [120]

Answer:

Step-by-step explanation:

(3^5)^2= 59049 divided

(3)^-2 = 0.11111111

531441 = 3^12

5 0

2 years ago

Read 2 more answers

The area of<br>of a rectangle is (14x^4 + 7x^2) cm²<br>and its breadth is 7x^2 cm. Find its length.

NeTakaya

Answer:

2x^1+1

Step-by-step explanation:

Area=L X W

which means that (14x^4+7x^2) needs to be divided by 7x^2

factorise(14x^4+7x^2) which gives 7x(2x^2+1)

divide 7x(2x^2+1) by 7x^2

gives 2x^2 +1

7 0

2 years ago

Read 2 more answers