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Hoochie [10]
2 years ago
12

Bob has 150 grams of gold, and he wants to use it all to make a cube. Given that the density of gold is 19.3 grams / cubic centi

meter, how long should each side of the cube be? (Round your answer to the nearest hundredth.) Show all work/Explanation
Mathematics
1 answer:
Mice21 [21]2 years ago
4 0

Answer:

1.98 cm side length of the cube

Step-by-step explanation:

150 gm / 19.3 gm/cm^3 = 7.77202 cm^3

  take the cube root to find the side length = 1.98 cm

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n a Gallop poll of 1012 randomly selected adults, 9% said that cloning of humans should be allowed. We are going to use a .05 si
Vanyuwa [196]

Answer:0.1446

Step-by-step explanation:

Let p be the population proportion of adults say that cloning of humans should be allowed.

As per given , the appropriate set of hypothesis would be :-

H_0: p\geq0.10\\\\ H_a: p

Since H_a is left-tailed and sample size is large(n=1012) , so we perform left-tailed z-test.

Given : The test statistic for this test is -1.06.

P-value for left tailed test,

P(z<-1.06)=1-P(z<1.06)        [∵P(Z<-z)=1-P(Z<z]

=1-0.8554=0.1446          (Using z-value table.)

Hence, the p-value for this test statistic= 0.1446

4 0
2 years ago
Find three positive consecutive integers such that the product of the second integer and the third integer is 72
Anastaziya [24]
Let
x---------> first  positive integer
x+1------> second positive integer
x+2-----> third positive integer

we know that
(x+1)*(x+2)=72-------> x² +2x+x+2=72 -------> x² +3x-70=0

using a graph tool-------> <span>I solve the quadratic equation
</span>see the attached figure

the roots are
x1=-10
x2=7

the answer is
first  positive integer is x=7
second positive integer is x+1=8
third positive integer is x+2=9

3 0
3 years ago
Read 2 more answers
Please show an actual answer i need help
jek_recluse [69]

Answer:

1. wire is approx. 143.96 ft

2. pole is approx. 106.55 ft

Step-by-step explanation:

Mapping the information on the SOHCAHTOA picture below:

Φ = 46

wire = hypotenuse

adjacent side = 100

CAH is most suitable:

cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96

pole = opposite side + 3

TOA is most suitable:

tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55

4 0
2 years ago
58-(1/4)2 i dont get how to solve this
xeze [42]

Answer:

57.5

Step-by-step explanation:

First you would have to multiply following PEMDAS so

(1/4)(2)

=0.5

Then subtract 58 and 0.5

58-0.5

=57.5

and thats your answer

5 0
3 years ago
Read 2 more answers
Carole purchased 7/8 of a pound of chocolate chips to make cookies. On the way home from school she got hungry and ate 1/4 of th
AURORKA [14]
Answer is below..................

4 0
3 years ago
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