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Mumz [18]
3 years ago
13

If the volume of 100 liquid drops is 0.1 fluid ounce, what is the volume of 10 drops?

Mathematics
1 answer:
umka21 [38]3 years ago
8 0
To do this, you need to set up a proportion. 100 drops= 0.1 fl oz, and so you are looking for 10 = x fl oz., where x equals the amount of fluid ounces 10 drops equals

 <u>0.1</u>   =  <u>x
</u>100      10

When you cross-multiply, this becomes (0.1)(10) = 100x
<u />0.1 times 100 equals 1, so it becomes 1 = 100x
To get x by itself, divide both sides by 100, and you get x = 0.01 fluid ounces
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e 400 trials in which the assistant maintained a neutral expression, the driver stopped in 229 out of the 400 trials. Find a 95%
Fittoniya [83]

Answer:

Step-by-step explanation:

n = 400

Proportion p = 229/400= 0.5725

For 95% confidence interval we use Z value as 1.96

Std error = 0.025

margin of error = 1.96*0.025

Confidence interval 95% = 0.5725±Margin of error

= (0.524, 0.621)

b) When smiled x becomes 277

p = 0.6925

Std error = 0.023

Margin of error= 1.96*0.023

Confidence interval = (0.647, 0.738)

Smiling increases the chances of stopping since mean and conidence interval bounds are showing increasing trend.

6 0
3 years ago
Find the approximate volume of the figure below, composed of a cone, a cylinder, and a hemisphere. If necessary, round your answ
mixas84 [53]

Answer:

Volume of the solid = 480.42m³

Step-by-step explanation:

To sov this question, we'll have to break the solid into different shapes of solid to solve it easily.

Volume of a cylinder = πr²h

volume of a hemisphere = 4/3πr³

Volume of a cone = ⅓πr²h

π = 3.14

r = 3m

h(cylinder) = 11m

Slant height of cone = 3√(2)

Height of cone = ?

To find height of cone, we can use pythagorean theorem

a² = b² + c²

[ 3√(2)]² = 3² + c²

9*2 = 9 + c²

C² = 18 - 9

C = 9m

Height of the cone = 9m

Volume of a cylinder = πr²h

V = 3.14 * 3² * 11

V = 310.86m³

Volume of the cylnder = 310.86m³

Volume of the hemisphere = 4/3πr³

V = 3.14 * 3³

V = 84.78m³

Volume of the hemisphere = 84.78m³

Volume of the cone = ⅓πr²h

V = ⅓ * 3.14 * 3² * 9

V = 84.78

Volume of the cone = 84.78m³

Volume of the solid = volume of cone + volume of hemisphere + volume of cylinder

Volume of the solid = 84.78 + 84.78 + 310.86

Volume = 480.42m³

5 0
4 years ago
What is A number divided by two plus seven
sashaice [31]

Step-by-step explanation:

Let the number be x, then

\frac{x}{2 + 7}  \\  \frac{x}{9}

7 0
3 years ago
Find an overestimate for 22×68 by adjusting each factor up to the nearest ten. A) 1200. B) 2100. C) 1400 D)1800
Rina8888 [55]

Answer:

D. 1800

Step-by-step explanation:

An overestimate is pretty self-explanatory, an amount bigger than what it's supposed to be.

Multiplying 22 * 68

1496

Rounding it will give you 1500, but the overestimate would be 1800. Because its a respected amount that is close to the answer of 22 * 68.

3 0
2 years ago
3(x + 3) + 10
Sphinxa [80]

Answer:

b-3x+19

Step-by-step explanation:

you have to open the bracket so 3*x=3x

3*3=9

therefore;3x+9+10=3x+19

7 0
3 years ago
Read 2 more answers
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