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Ray Of Light [21]
2 years ago
5

The town of Lantana needs 14,000 for a new playground Lanta elementrary raised 5,358, Lanta middle school raised 2,834 and Lanta

na high school raised 4,132..about how much more money they need to raise?
Mathematics
2 answers:
Phantasy [73]2 years ago
6 0
5358+2834+4132=14000
12324=14000
14,000-12,324= $1,676
olasank [31]2 years ago
4 0

Answer: $1676


Step-by-step explanation:

The total money required by town Lantana for playground = $14000

Money raised by  Lanta elementrary =$ 5,358

Money raised by Lanta middle school =$2,834

Money raised by Lantana high school =$ 4,132

Total amount money raised = 5324+2834+4132

⇒ Total amount money raised =$12324

Money need to raise= \$14000-\$12324=\$1676

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Change in profit = x - (5,400/8)
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3 years ago
Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer
IgorLugansk [536]

Transform <em>Y</em> to <em>Z</em>, which is distributed N(0, 1), using the formula

<em>Y</em> = <em>µ</em> + <em>σZ</em>

where <em>µ</em> = -16 and <em>σ</em> = 1.21.

Pr[-15.043 < <em>Y</em> ≤ <em>k</em>] = 0.1546

Pr[(-15.043 + 16)/1.21 < (<em>Y</em> + 16)/1.21 ≤ (<em>k</em> + 16)/1.21] = 0.1546

Pr[0.791 < <em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] - Pr[<em>Z</em> < 0.791] = 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] = 0.1546 + Pr[<em>Z</em> < 0.791]

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546 + 0.786

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (<em>Φ(x)</em> denotes the CDF itself):

(<em>k</em> + 16)/1.21 ≈ <em>Φ⁻¹</em> (0.940) ≈ 1.556

Solve for <em>k</em> :

<em>k</em> + 16 = 1.21 • 1.556

<em>k</em> ≈ -14.118

8 0
2 years ago
The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and
krok68 [10]

Answer:

width is 2 1/4 length 5 5/12

Step-by-step explanation:

7 0
3 years ago
Please help me I don’t understand.
attashe74 [19]

Answer:

1 : 64

Step-by-step explanation:

Model:

1/2 in * 1/6 in = 1/12 in^2

Real:

1/3 ft * 1/9 ft = 1/3 * 12 in * 1/9 * 12 in = 16/3 in^2

model : real

1/12 / 16/3 = 1/12 * 3/16 = 3/192 = 1/64

model : real = 1 : 64

7 0
3 years ago
Suppose AC = 5 cm, BC = 12 cm, and mAC = 45.2°.
DedPeter [7]
Using Pythagoras theorem
|AB|*2=|d/2|=(5*2)+12*2
AB*2=25+144
AB=13
D/2= r=6.5cm

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tan¥=1.3
¥=tan inverse of (1.3)
¥=52.43 degrees
4 0
2 years ago
Read 2 more answers
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