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sammy [17]
2 years ago
15

Mom buys a rectangular rug with an area of 7 1/6 square meters. The length of the rug is 3 1/3 meters. What is the width of the

rug?
Mathematics
1 answer:
BartSMP [9]2 years ago
4 0

Answer:

  • 2 3/20 m

Step-by-step explanation:

The area is the product of the length and width

  • The area = 7 1/6 m² = 43/6 m²
  • The length = 3 1/3 m = 10/3 m

Width = ?

  • A = lw
  • w = A/l
  • w = 43/6 ÷ 10/3 = 43/6 × 3/10 = 43/20 = 2 3/20 m

The width is 2 3/20 m

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Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such
Harman [31]

Answer:

The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> <u>0.6-0.45)</u>

                                              √0.45*0.55/600

The right answer is B.

Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

standard deviation σ=√P(1-P)/n=√0.45(1-0.45)/600

If x≅N(u,σ∧∧-2), then z=(x-u)/σ≅N(0,1)

Now, P(P>0.6)=P(<u>P-P</u>   >     <u>0.6-0.45)</u>

                             σ          √0.45*0.55/600

=P(Z> <u>0.6-0.45)</u>

       √0.45*0.55/600

8 0
2 years ago
A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle. Using the 45°
Radda [10]
A wall is in the shape of a trapezoid and it can be divided into a rectangle and a triangle. A triangle is with angles 45°- 45° - 90°. The hypotenuse of that triangle is 13√2 ft.Using the 45° - 45° - 90° theorem, sides of that triangle are in the proportion:x : x : x√2, and since that x√2 = 13√2 ( hypotenuse ),  x = 13.Therefore h = 13 ft.We can check it: c² = 13² + 13²,c² = 169 + 169c² = 338c = √ 338 = 13√2Answer: h = 13 ft

8 0
2 years ago
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Find two complex numbers that have a sum of i10 a different of -4and a product of -29​
lianna [129]
<h2>-2+5i and 2+5i</h2>

Step-by-step explanation:

   Let the complex numbers be a+ib\textrm{ and }c+id.

Given, sum is 10i, difference is -4 and product is -29.

(a+c)+i(b+d)=10i ⇒ a+c=0,b+d=10

(a-c)+i(b-d)=-4 ⇒ a-c=-4,b-d=0

a=-2,c=2,b=5,d=5

(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29

Hence, all three equations are consistent yielding the complex numbers -2+5i\textrm{ and }2+5i.

8 0
2 years ago
Eric created a rectangular patio using 1 foot square paving stones which are sold in batches by the Dozen the patio measures 7 f
Verdich [7]
Eric need 5 batches of paving stones to created his patio.
6 0
2 years ago
I need help with finding the equation for #20 and # 22 for my brother we get the answer but it’s hard for us to write out how to
Pavel [41]

Answer:

Im not sure about 20 but 22 is 48

Step-by-step explanation:

4×96 =384

384÷8 = 48 orange per classroom

8 0
2 years ago
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