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NemiM [27]
2 years ago
11

The volume of the rectangular prism is 16 cubic cm. The length is 2 and 1/3 cm and the width is 4 cm. What is the height?

Mathematics
1 answer:
Allisa [31]2 years ago
6 0

Answer:

The answer is 1 and 5/7 cm

Step-by-step explanation:

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In remodeling a kitchen, a builder decides to place a splash-guard behind the sink consisting of eight 6-inch-square ceramic til
oksano4ka [1.4K]

Answer:

(a) 0.4242

(b) 0.0707

Step-by-step explanation:

The total number of ways of selecting 8 herbs from 12 is

\binom{12}{8}=495

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

\binom{10}{6}= 210

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.

The probability = \dfrac{210}{495}=0.4242

(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

\binom{7}{3}= 35

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.

The probability = \dfrac{35}{495}=0.0707

6 0
3 years ago
The weight of an object is equal to 3\4 of its own weight plus 3\4of a pound. What is the weight?
Phoenix [80]

Answer:

The weight of the object is 3 kg.

Step-by-step explanation:

<u>Step 1: </u>

Let object weight be x kg.

Now, as per the available data,

3/4 kg + 3/4 (x kg) = x kg

<u>Step 2: </u>

3/4 (1 + x) = x

1 + x = 4x/3

1 = x (4/3 - 1)

x = 1 / (1/3)

x = 3

Weight of Object is 3 kg.

<u>Step 3: </u>

Let's check if this value satisfies the first equation.

3/4 + 3/4 x 3 = 3/4 + 9/4 = 12/4 = 3

Hence proved.

8 0
3 years ago
1. Define: (1) factor (ii) multiple. Give five examples of each.it<br><br>​
sineoko [7]

Answer:

A factor is a number that when its multiplied with another number, gives a product of a given number. Example: The factors of 21 are 7,3,1 and 21. A multiple is a number that can be divided by another number a certain amount of times evenly (without a remainder). Example: Some multiples of 4 are: 8, 12, 16, and 20.

5 0
3 years ago
Derive the equation of the parabola with a focus at (−2, 4) and a directrix of y = 6. Put the equation in standard form.
erastovalidia [21]

Answer:

B

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant.

Using the distance formula

\sqrt{(x+2)^2+(y-4)^2} = | y - 6 |

Squaring both sides

(x + 2)² + (y - 4)² = (y - 6)² ←  distributing

x² + 4x + 4 + y² - 8y + 16 = y² - 12y + 36 ( subtract y² - 12y + 36 from both sides )

x² + 4x + 4 + 4y - 20 = 0 ( subtract x² + 4x + 4 from both sides )

4y - 20 = - x² - 4x - 4 ( add 20 to both sides )

4y = - x² - 4x + 16 ( divide through by 4 )

y = - \frac{1}{4} x² - x + 4, that is

f(x) = - \frac{1}{4} x² - x + 4 → B

3 0
3 years ago
Read 2 more answers
What is the Percentage area of 2.6 standard deviation
zvonat [6]
Please try to be more specific.  What I think you meant was "what is the area under the standard normal curve to the left of 2.6 standard deviations above the mean?"  If that's it, the area can be found from a table of z-scores (look for z=2.6) or by using a calculator:

normalcdf(-100,2.6) = 0.995.
6 0
3 years ago
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