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Answer:

1716 soda mixtures

A person can choose in 1716 different ways.

A combination is a way of selecting items from a collection where the order of selection does not matter.

Given that there 13 flavors at a soda station, a person has to choose 6 out of this,

We need to find how many possible soda mixtures can you make,

So, using here the concept of combination,

ⁿCₓ = n! / x!(n-x)!

Here, n = 13 and x = 6,

So,

¹³C₆ = 13! / 6!(13-6)!

= 13! / 6! × 7!

= 13 × 12 × 11 × 10 × 9 × 8 × 7! / 6! × 7!

= 13 × 12 × 11 × 10 × 9 × 8 / 6!

= 13 × 12 × 11 × 10 × 9 × 8 / 720

= 1716

Hence a person can choose in 1716 different ways.

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ANSWER:

By determining the number of possible outcomes, we have to examine many reasons behind the events. When examining the reasons behind these events we will eventually find a pattern. This pattern is what tells us how often something may or may not happen. By knowing how often something may or may not happen we can determine when it will reoccur in the future.

Step-by-step explanation:

bubuoin ba ng salita yan

Answer:

Its 81

Step-by-step explanation:

Answer:

the surface area S of the red solid is 90m^2

Step-by-step explanation:

The computation of the surface area of the red solid is shown below:

First find the scale factor i.e.

= 6 ÷ 4

= 1.5

Now the surface area of the red solid is

= 40 × 1.5 × 1.5

= 90m^2

Hence, the surface area S of the red solid is 90m^2

The same would be considered

Answer:

500

Step-by-step explanation:

Answer:

-99%

Step-by-step explanation:

5000-99%=50

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Answer:

10 percent

Step-by-step explanation:

5,000 x .01 = 50

Answer:

492 yd^2

Step-by-step explanation:

Way 1: 250 + 242 = 492

Way 2: 800 - 132 - 176 = 492

Answer:

184

Step-by-step explanation:

129.5 + 34.62 + 19.1

130 + 35 + 19

184

Answer:

Step-by-step explanation:

I first added 13 and 8 to get 21

After that I do 7.5*21 to get 157.5

Then I multiplied 2.5 by 8 to get 20.  But it is a triangle so I have to divide by 2 to get 10

I add 10+10+157.5=20+157.5=177.5

177.5 units²

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Answer:

ok cool, bro'

Step-by-step explanation:

amazing

Answer:

paint

clean your room

call some friends

find a new hobby

bake/cook

re-do your room

make a wishlist

do some skincare

start learning a new language

start a new netflix series

bike ride/skate/drive

Answer:

YES SIR Answer is b

Step-by-step explanation:

Answer:

if there are 300 m&m's there will be 120 red

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that [tex]\mu = 36, \sigma = 2[/tex]

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-2.054 = \frac{X - 36}{2}[/tex]

[tex]X - 36 = -2.054*2[/tex]

[tex]X = 31.89[/tex]

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

Answer and step-by-step explanation:

On the graph, it shows no kind of function, all it shows is the coordinate plane. That means that it has no x-intercept, no y-intercept, and has no minimum/maximum. Otherwise, there is not enough information to graph it.

Answer:

Step-by-step explanation:

A down payment is the upfront portion of a payment that is often required to finalize the purchase of items that are typically more expensive, such as a home or a car. When purchasing a home, after a down payment is paid by a home-buyer, any remaining balance will be amortized as a mortgage loan that must be fulfilled by the buyer. In other words, the purchase price of a house should equal the total amount of the mortgage loan and the down payment. Often, a down payment for a home is expressed as a percentage of the purchase price. As an example, for a $250,000 home, a down payment of 3.5% is $8,750, while 20% is $50,000.

Answer: The most important aspect in doing algebra is having a pen/pencil and paper in hand. It'll give you a better understanding of the question being posed.

Answer:

Top right option

[-pi/2,0) and (0,pi/2)

Step-by-step explanation:

Edge 2021

Answer:

FOURTH

Step-by-step explanation:

AHHHHHHHHHHHHHHHHHHH 6 x 4 = 24

x IS 6

The model that represents the equation 4x  = 24 is the 4th table.

The model that represents the equation 4r = 24 can be calculated as follows;

4x = 24

where

x is the variable

Therefore, 4x can be represented as follows:

4x  = x + x + x + x

Therefore, the model that represents the equation 4x = 24.

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Answer:

3x−y=5;x+2y=4

x=2 and y=1

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

first one

2:8/3

Multiply by 3

6:8

Divide by 2

3:4

second one

2/3:6

Multiply by 3

2:18

Divide by 2

1:9

1:9 =\= 3:4

No

Answer:

A

Step-by-step explanation:

We want to solve the equation:

[tex]5\sin(2x)=3\cos(x)[/tex]

To do so, we can rewrite the equation.

Recall the double-angle identity for sine:

[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]

By substitution:

[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]

Distribute:

[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]

We can subtract 3cos(x) from both sides:

[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]

And factor:

[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.

Answer:

A. cosx(10sinx-3)=0

Step-by-step explanation:

5(2sinxcosx)=3cosx

10sinxcosx-3cosx=0

cosx(10sinx-3)=0

Answer:

subtracting 14 from sides of the number sentence

Step-by-step explanation:

14 + n = 84

Since 14 is being added to n, you need to subtract 14 from both sides to solve for n.

Answer: subtracting 14 from sides of the number sentence

Answer:

a = -2

Step-by-step explanation:

15-a =17

a=15 - 17

a=-2

Answer:

hi

Step-by-step explanation:

-a=17-15

-a=2

have a nice day

9514 1404 393

Answer:

  6.  4

  7.  36

Step-by-step explanation:

The given conditions in each case allow you to conclude that the triangles are congruent. Corresponding parts of congruent triangles are congruent.

__

6. YX = YZ = 4

7. Angle XWY is congruent to angle ZWY, so is 18. Angle XWZ is the sum of those two angles, so ...

  ∠XWZ = ∠XWY +∠ZWY = 18 + 18

  ∠XWZ = 36

Answer:

3

Step-by-step explanation:

12 didved by 4 is 3

Answer:

3 cakes

Step-by-step explanation:

3 cakes can be bake with dozen if eggs

Answer:

125 more students arrive buy school bus than by car

Step-by-step explanation:

20% + 25% + 15% = 60%

Bus

100 - 60 = 40% ( bus = 40%)

40% = 0.4

0.4 × 500 = 200 (200 students get to school by the school bus)

Car

15% = 0.15

0.15 × 500 =

car = 75 (75 students get to school by car)

difference

200 - 75 = 125 students (125 more students get to school on the school bus then by a car)

Answer:

Step-by-step explanation:

V = L * W * D

V = 9 * 7 * 3

V = 189 cm^3

Answer: 189

Step-by-step explanation: 3*9*7