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tatyana61 [14]
2 years ago
9

What is the radius of the sphere?

Mathematics
1 answer:
Tpy6a [65]2 years ago
6 0

Answer:

32/3 cubic

Step-by-step explanation:

D.32/3

32/3=32:2= D.8 units

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Use differentials to approximate the change in the volume of a cube when the side is decreased from 8 to 7.99 cm. (in cm3)
Firlakuza [10]

Answer:

  -1.92 cm³

Step-by-step explanation:

The formula for the volume of a cube in terms of side length is ...

   V = s³

Then the first-order approximation of volume for a small change ∆s in side length is ...

  V(s +∆s) ≈ V(s) + V'(s)·∆s

and the change in volume is ...

  ∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s

The derivative V'(s) is ...

  V'(s) = 3s²

so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...

  ∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³

 

4 0
3 years ago
Write the phrase as a rate in simplest form. $406 for 38 pieces
Anna71 [15]

Answer:

Rate will be $10.68/-

Step-by-step explanation:

For 38 pieces we have price $406

For 1 piece= 406/38 = 10.68

The rate will be $10.68/-

6 0
3 years ago
Read 2 more answers
A random sample of 38 wheel chair users were asked whether they preferred cushion type A or B, and 28 of them preferred type A w
-BARSIC- [3]

Answer:

The statement that cushion A is twice as popular as cushion B cannot be verified

Step-by-step explanation:

From the question we are told that:

Sample size n=38

Type a size A X_a=28

Type a size B X_b=10  

Generally the probability of choosing cushion A P(a) is mathematically given by

P(a)=\frac{28}{38}

P(a)=0.73

Generally the equation for A to be twice as popular as B is mathematically given by

P(b)+2P(b)=3P

Therefore Hypothesis

Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}

Generally the equation normal approx of p value is mathematically given by

z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }

z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }

z=0.75

Therefore from distribution table

Pvalue=1-\theta (0.75)

Pvalue=0.227

Therefore there is no sufficient evidence to disagree with  the Null hypothesis H_0

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

7 0
3 years ago
Rank in decreasing order 8.58, 8.508, 7.058, 7.5
8_murik_8 [283]
7.5 8.58 7.058 8.508
8 0
3 years ago
Fill in the blanks<br>a ---÷48=-1<br>​
agasfer [191]

Ans is -48.

Hope this will help u..

4 0
3 years ago
Read 2 more answers
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