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Aleks04 [339]
2 years ago
8

Exact answer please.

Mathematics
1 answer:
bezimeni [28]2 years ago
7 0

Answer:

d ≥ - 21

Step-by-step explanation:

\frac{6-d}{9} ≤ 3 ( multiply both sides by 9 to clear the fraction )

6 - d ≤ 27 ( subtract 6 from both sides )

- d ≤ 21

multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

d ≥ - 21

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A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will
garik1379 [7]

Answer:

35\% represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 947

   The proportion of the population that believes that the Yankees will miss the playoffs this year is    k = 35\% = 0.35

From the question we are told the confidence level is  97%

   The lower limit of the confidence level is a = 28%

    The upper limit of the  b = 42%

Generally the sample proportion of this population is mathematically represented as

         \^ p = \frac{a+ b}{2}

=>      \^ p = \frac{28 + 42 }{2}

=>      \^ p = 35\%

Hence  35\% represents the sample proportion

8 0
3 years ago
The coordinates of a triangle's vertices are A(2, 4), B(3, 1), and C(5, 5). The triangle undergoes a translation 4 units to the
AlekseyPX
South west

Shifting 4 units left (decreasing in x-axis by 4 units)
Shifting 5 units down (decreasing in y-axis by 5 units)

Apply to every vertices coordinates(x - 4, y - 5)

New coordinates

A(-2, -1)
B(-1, -4)
C(1,0)
5 0
3 years ago
"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is
sukhopar [10]

Answer:

The diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

Step-by-step explanation:

Dimensions of the rectangle

Height = 5cm

Rate of base = 3/2 cm/min

Area = 60cm^2

We know the area of a rectangle of given by = base* Height

b*h = 60

b*5 = 60

b = 12cm

Applying Pythagoras theorem while drawing a diagonal to the rectangle

  b^2 +h^2 =  D^2\\

 5^2 +12^2 = 13^2

so our diagonal will be 13cm  

Upon differentiating the area of the rectangle  we get

b*h = A=60cm^2

using  the chain rule of differentiation

h*db/dt + b*dh/dt  = 0

b*dh/dt = -h*db/dt

12*dh/dt = -5*3/2

dh/dt = -5/8 cm//min

so the height of the rectangle is decreasing at the rate of -5/8cm/min

now we have all the measurements we need

b = 12 , db/dt = 3/2cm/min

h = 5 , dh/dt = -5/8 cm/min

b^2 +h^2  = D^2

Upon differentiating we get

2b*db/dt + 2h*dh/dt = 2D*dD/dt

b*db/dt + h*dh/dt = D*dD/dt

12*3/2 + 5*(-5/8) = 13*dD/dt

18 -25/8 = 13*dD/dt

\frac{144-25}{8} = 13*dD/dt

dD/dt = \frac{119}{104} cm/min

Therefore the diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

6 0
3 years ago
Fill in two equal numbers that add to the even number 38
tino4ka555 [31]
19 + 19 = 38 <======
6 0
3 years ago
Read 2 more answers
Please helppppp I need help​
a_sh-v [17]

Answer:

non proportional

Step-by-step explanation:

All of the others are correct

4 0
2 years ago
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