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Alika [10]
3 years ago
7

Suppose you are ordering a calzone from D.P. Dough. You want 4 distinct toppings, chosen from their list of 8 vegetarian topping

s. How many choices do you have for your calzone
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

1680

Step-by-step explanation:

Number of distinct Toppings wanted = 4

Total number of vegetarian topping = 8

To choose 4 distinct toppings from a total of 8

Using permutation :

nPr : n! (n - r)!

8P4 = 8! / 4!

8P4 = (8*7*6*5)

8P4 = 1680

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Select all the statements that are true.
alexgriva [62]

Answer:

The product of 8x(5x−6) is 40x^2−48x

The product of (x−3)(5x−6) is 5x^2−21x+18

Step-by-step explanation:

<u><em>Verify each option</em></u>

Part 1) The product of 8x(5x−6) is 40x^2−48x

we have

8x(5x-6)

Applying distributive property

8x(5x)-8x(6)\\40x^2-48x

Compare with the given value

40x^2-48x=40x^2-48x

therefore

The statement is true

Part 2) The product of −4x(2x2+1) is −8x^3−5x

we have

-4x(2x^{2}+1)

Applying distributive property

-4x(2x^{2})-4x(1)\\-8x^3-4x

Compare with the given value

-8x^3-4x \neq -8x^3-5x

therefore

The statement is not true

Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18

we have

(x-3)(5x-6)

Applying distributive property

x(5x)-x(6)-3(5x)+3(6)\\5x^2-6x-15x+18\\5x^2-21x+18

Compare with the given value

5x^2-21x+18=5x^2-21x+18

therefore

The statement is true

Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

we have

(2x+3)(x^2+3x-5)

Applying distributive property

(2x)(x^2+3x-5)+(3)(x^2+3x-5)\\(2x^3+6x^2-10x)+(3x^2+9x-15)\\2x^3+9x^2-x-15

Compare with the given value

2x^3+9x^2-x-15 \neq 2x^3+9x^2+9x-25

therefore

The statement is not true

8 0
3 years ago
While unpacking a box of canned vegetables, you notice that 2 out of 40 cans are dented. Write “2 out of 40” as a fraction, deci
nata0808 [166]
2/40=1/20
Percentage:5%
Decimal-0.05
8 0
3 years ago
The red blood cell counts​ (in millions of cells per​ microliter) for a population of adult males can be approximated by a norma
skad [1K]

Answer:

(a) Minimum red blood cells 5.744 million cells per micro liter

(b) Maximum red blood cells 5.068 million cells per micro liter.

Step-by-step explanation:

Z-score formula is = \frac{x-u}{Standard deviation}

Z-score = \frac{x-5.5}{0.4}

The value of z-score is 0.61 so then x will be;

x = 5.744

The minimum red blood cells count that can in top is 27% of count which is 5.744 million cells per micro liter.

Z-score = \frac{x-5.5}{0.4}

The value of z-score is 0.14 so then x will be;

x = 5.068

The maximum red blood cells count that can be in top is 14% of count which is 5.068 million cells per micro liter.

6 0
3 years ago
A scientist used 786 milliliters of a liquid for an experiment. How many liters of the liquid did the scientist use for this exp
Charra [1.4K]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can I get some help ???
Nikitich [7]

Answer is D. <em><u>288</u></em> . i am glad to help

4 0
3 years ago
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