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4 years ago

The volume of 100 drops of a liquid is 0.1 fluid ounce. What is the volume of 1000 drops?

Mathematics

1 answer:

Ket [755]4 years ago

6 0

Hey there!

100 drops of the liquid is 0.1 fluid ounces.

1,000 is equal to 10 x 100.

To find the volume of 1,000 drops of liquid, we must multiply the volume of 100 drops, which is 0.1, by 10.

0.1 x 10 = 1

Therefore, the volume of 1,000 drops of this liquid is 1 fluid ounce.

Hope this helps!

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For a standard normal distribution, find the approximate value of P(-0.78 = z = 1.16). Use the portion of the standard normal ta

VikaD [51]

Correction:

I think the question should be like that find the approximate value of

P(-0.78 < z < 1.16)?

Now,

the symbol Ф represent the cumulative density.

first find the

Ф(1.16) from the above given table which is equal to 0.8770.

Now,

find the Ф(-0.78) .

in our table we are given the value of Ф(0.78)=0.7823

so as the curve is symmetrical Ф(-0.78)=1-0.7823=0.2177

P(-0.78 < z < 1.16) = Ф(1.16)-Ф(-0.78)

= 0.8770-0.2177

= 0.6593

6 0

3 years ago

Read 2 more answers

PLEASE HELP!

Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

$\textrm{Slant height l} = \sqrt{r^2 + h^2}$ (1)

$\textrm{Lateral surface area} = \pi r l$

$\textrm {Base area} = \pi r^2$

$\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l)$ (2)

$\textrm{Volume V = } (1/3) \pi r^2h$ (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

$\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA} = 4\pi(4 + 8.944) = 4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04$

Figure(b)

r = 7, h =15

$\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55$

$\textrm{SA} = 7\pi(7 + 16.55) = 517.89$

Figure (c)

r = 5, l = 8

$h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA} = 5\pi(5 + 8) = 204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5$

6 0

2 years ago

Find the system of inequalities which represents the shaded region on the coordinate plane.

dybincka [34]

Answer:

given, y≥2x+1 and

x−1

first, draw the graph for equations y=2x+1 and y=

x−1

for y=2x+1

substitute y=0 we get, 2x+1=0⟹x=−0.5

substitute x=0 we get, y=1

therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.

Hence, y≥2x+1 includes the region above the line.

for y=

x−1

substitute y=0 we get,

x−1=0⟹x=2

substitute x=0 we get, y=−1

therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.

Hence, y>

x−1 includes the region above the line.

the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.

Therefore, quadrant IV has no solution please make as brainlelist

7 0

3 years ago

Evaluate 2x − 2 for x = 0, x = 1, and x = 2. Question 1 options: A) −1, 0, 2 B) −1, 1, 2 C) 0, 1, 2 D) 1, 2, 4

mixas84 [53]

The value of x in 2^x - 2 when x = 0, x = 1 and x = 2 are -1, 0 and 2 respectively. option A

<h3>Algebra</h3>

2^x - 2

when x = 0

2^x - 2

= 2^0 - 2

= 1 - 2

= -1

when x = 1

2^x - 2

=2^1 - 2

= 2 - 2

= 0

when x = 2

2^x - 2

= 2^2 - 2

= 4 - 2

= 2

Learn more about algebra:

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2 years ago

Choose the correct algebraic expression to represent: 7 less than n

mariarad [96]

Answer

n-7

Step-by-step explanation:

it represents 7 less than n because you can subtract less than n because 7 is smaller

5 0

3 years ago