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Bezzdna [24]
3 years ago
5

2.85 to the nearest 10

Mathematics
1 answer:
AlekseyPX3 years ago
3 0
It would be 2.9 because if the number to the right of the number your rounding is 5 or higher you round up to the next number. If the number is 4 or lower you round down to a 0.
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The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distr
Tanya [424]

Complete Question

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H_o : p =  0.28 vs H a : p <  0.28when the sample has n 900 , and \^ p = 0.216 with SE=  0.01 . Find the value of the standardized z -test statistic. Round your answer to two decimal places.

Answer:

The value is  z =  -6.40

Step-by-step explanation:

Generally the standardized test statistics is mathematically represented as

     z =  \frac{\^ p  -  p }{ SE }

=>  z =  \frac{0.216  -  0.28 }{ 0.01  }

=>  z =  \frac{0.216  -  0.28 }{ 0.01  }

=>  z =  -6.40

4 0
2 years ago
A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section)
dolphi86 [110]

Answer:

radius r = 47/π in

length l = 23.5 in

Step-by-step explanation:

Let us recall that:

Volume of a cylinder = \pi r^2 h --- (1)

The girth g = 2 \pi r + h      ----- (2)

Given that:

height (h) + girth (g) = 141

Then g = 141 - h   ----- (3)

Equating equation (2) and (3), we have:

141 - h = 2πr + h

2h = 141 - 2πr

h = 70.5 - πr      ------ (4)

From, here now, we can now replace the value of h into equation (1)

i.e.

V = πr²(70.5 - πr)

V = 70.5πr² -  π²r³

Taking the differential of the above equation with respect to r, we have:

\dfrac{dv}{dr} = 141 \pi r- 3\pi ^2 r^2

By further differentiation:

\dfrac{d^2v}{dr^2} = 141 \pi - 6\pi ^2 r

Let set \dfrac{dv}{dr}= 0, Then:

141πr - 3π²r² = 0

141πr = 3π²r²

Divide both sides by πr

141 = 3πr

r = 141/3π

r = 47/π in

Replacing the value of r = 47/π into equation (4), we have:

h = 70.5 - πr

h = 70.5 - π(47/π)

h = 70.5 - 47

h = 23.5 in

From equation (3);

h + g = 141

23.5 + g = 141

g = 141 - 23.5

g = 117.5 in

Volume = πr²h

V = π × (47/π )² × 23.5

V = 16523.94 in³

4 0
2 years ago
Plz help! I don’t understand this
kiruha [24]

Answer:

Option B

Step-by-step explanation:

-1/2x≥4

1) Multiply both sides of the inequality by the reciprocal of -1/2: (-2)

x≤-8

Graph x≤-8 as a line. Remember that lesser negative values go to the left!

ALSO don't forget when you multiply both sides of an inequality by a negative number the inequality sign flips.

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3 years ago
Graphing a Linear Equation
elena55 [62]

Answer:

The third one

Step-by-step explanation:

3 0
2 years ago
Type A is 10 feet tall and grows at a rate of 9 inches per year. Type B is 7 feet tall and grows at a rate of 21 inches per year
Gemiola [76]

Answer:

3 years

Step-by-step explanation:

7 0
3 years ago
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