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mihalych1998 [28]
2 years ago
13

I need help please and thank you

Mathematics
1 answer:
Viefleur [7K]2 years ago
5 0

Answer:

6

Step-by-step explanation:

There are four different kinds of meat items in the menu.

And we are asked for the combination of 2.

So, here n = 4 and k = 2.

That is from 4 we choose 2. Hence, $ ^{n} \textrm{C}_{k} = ^{4} \textrm{C}_{2}

We have the formula: $ ^{n} \textrm{C}_{k} = \frac{n!}{k!(n - k)!} $

Substituting, we get:

$ ^{4} \textrm{C}_{2}  = \frac{4!}{2!(4 - 2)!}

= $ = \frac{4!}{2!. 2!} = \frac{24}{4} $

= 6

Hence, there are six ways in which the meat combos  can be made.

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Statistics show on average an adult person receives 425 pieces of mail each year with a standard deviation of 50. What are the m
Kisachek [45]

Answer:

The answer is 60.11

Step-by-step explanation:

An adult person receives 425 pieces of mail each year with a standard deviation of 50.

Now, we have the following details  :

Mean of sample = 425

sigma = 50

Standard error = \frac{425}{\sqrt{50} }

= \frac{425}{7.07} = 60.11

4 0
3 years ago
Help plz I need the answer real quick???
Fudgin [204]

Answer:

Distance between mall and library is 6.32 miles.

Step-by-step explanation:

Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).

Since, distance between two points (x_1,y_1) and (x_2,y_2) is given by,

Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

By this formula,

Distance between (2, 4) and (8, 4) will be,

Distance = \sqrt{(8-2)^2+(2-4)^2}

               = \sqrt{36+4}

               =  \sqrt{40}

               = 6.32 miles

4 0
2 years ago
You put $500 in the bank, where it ears 1.5% simple interest every year. How long until your money will triple?
zzz [600]

Answer:

133.33 years

Step-by-step explanation:

Given that:

Principal = $500

Interest rate (r) = 1.5% = 0.015

Triple amount of principal = $500 * 3 = $1500 = final amount (A)

Number of years (t) =?

Using the relation :

A = P(1 + rt)

1500 = 500(1 + 0.015t)

1500 / 500 = 1 + 0.015t

3 = 1 + 0.015t

3 - 1= 0.015t

2 = 0.015t

2 / 0.015 = 0.015t / 0.015

133.333 = t

133.33 years

3 0
3 years ago
Can someone help me with these algebraic expressions? And can you please EXPLAIN OR SHOW YOUR WORK!
lyudmila [28]

Answer:

1.  (3x - 2)(x + 5).

2. 2(x + 4)(x - 2).

3. (2x - 9)(2x + 9).

Step-by-step explanation:

1. f(x) = 3x^2 +13x -10

Try to factor by the ac method:

3 * -10 = -30

We need 2 numbers whose product is -30 and whose sum is + 13.

They are -2 and +15, so we write:

3x^2 + 15x - 2x - 10       Factor by grouping:

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

= (3x - 2)(x + 5).

2.  f(x) = 2x^2+4x-16

= 2(x^2 + 2x - 8)

Now we need 2 numbers whose product is -8 and whose sum is + 2.

They are +4 and -2. So:

= 2(x + 4)(x - 2).

3. 4x^2 - 81    This is the difference of 2 squares so the factors are:

(2x - 9)(2x + 9).

4 0
3 years ago
If 6 burgers cost $7.74 how many can you buy for $19.35
xeze [42]

Answer:

15 burgers!

Step-by-step explanation:

The trick is to get rid of the decimal point from the number we are dividing by.

How? We can "shift the decimal point" out of the way by multiplying by 10, as many times as we need to.

But we must do the same thing to both numbers in the division.

Example: 15 divided by 0.2

Let us multiply the 0.2 by 10, which shifts the decimal point out of the way:

0.2 × 10 = 2

But we must also do it to the 15:

15 × 10 = 150

So 15 ÷ 0.2 has become 150 ÷ 2 (they are both 10 times larger):

150 ÷ 2 = 75

And so the answer is:

15 ÷ 0.2 = 75

6 0
2 years ago
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