There are 13 flavors at the soda machine, and anyone can choose 6. A sign says we are only allowed to use one of each flavor. You decide to grab a cup and fill it up with your favorite flavors at random (it’s all going to the same place, right?). How many possible soda mixtures can you make?

Answer:

2

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -1/3x + 2

    b = 2

Answer:

since negative 1/3 is the slope and x is the point on the x axis , 2 is the y intercept

9514 1404 393

Answer:

  267.9 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

In this geometry, the angle of depression is the angle of interest. The "adjacent" side of the triangle is the distance to the boat. The "opposite" side is the height of the cliff.

  tan(15°) = height/(1000 m)

  height = (1000 m)tan(15°)

  height ≈ 267.9 m

The cliff is about 267.9 meters tall.

Answer:

it should be 5 because its a rectangle

Answer:

x = 5cm

Step-by-step explanation:

Remember opposite sides of a rectangle are congruent

The opposite side of side "x" is equal to 5 cm therefore x = 5 cm

Important note! : The triangle does not change the side length as it is formed using it.

Answer:

$6000×3%=180 for a month

so for for years

=6000x48×3%=R8 640

Step-by-step explanation:

1 year has 12 month so you will say 4 year's × 12 Month's it will give you 48 so you Multiply by his deposited money ×Percent

formula=Deposit money×Year's×Percent

Answer:

26

Step-by-step explanation:

If the data is in order, the median is the middle value.

If there are two values in the middle, you add them together and divide by 2

So [tex]\frac{25+27}{2} =26[/tex]

Answer:

let x represent the number tickets

number of ticket=6

cost of the travelling insurance per ticket =$18

total cost= $1056

(x+x+x+x+x+x+18)= $1,056

6x + 18 = $1,056

Answer:

15

Step-by-step explanation:

In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!

Given:

The given sequence is:

[tex]5,-2,-9,...[/tex]

To find:

The recursive formula for [tex]a_n[/tex], the nth term of the sequence.

Solution:

We have,

[tex]5,-2,-9,...[/tex]

Here, the first term is 5.

[tex]-2-5=-7[/tex]

[tex]-9-(-2)=-9+2[/tex]

[tex]-9-(-2)=-7[/tex]

The common difference is -7.

The recursive formula for the nth term of the sequence is

[tex]a_n=a_{n-1}+d[/tex]

Where, [tex]d[/tex] is the common difference.

Putting [tex]d=-7[/tex] in the above formula, we get

[tex]a_n=a_{n-1}+(-7)[/tex]

[tex]a_n=a_{n-1}-7[/tex]

Therefore, the recursive formula for the nth term of the sequence is [tex]a_n=a_{n-1}-7[/tex].

Answer:

The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A recent study of 750 Internet users in Europe found that 35% of Internet users were women.

This means that [tex]n = 750, \pi = 0.35[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 - 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3159[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 + 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3841[/tex]

The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).

Answer:

The length of the hypotenuse is 37cm

Step-by-step explanation:

we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.

a=1/2bh

210=1/2(12)h

210=6h

h=35cm

now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:

12^2+35^2=c^2

c^2=144+1225

c^2=1369

c=37

so, the hypotenuse is 37cm

The length of the hypotenuse is 21.22 cm

The given parameters are:

Area = 210

Base = 12

Start by calculating the height using:

Height = Area/Base

This gives

Height = 210/12

Divide

Height = 17.5

The hypotenuse is then calculated using:

Hypotenuse = √(Base^2 + Height^2)

This gives

Hypotenuse = √(12^2 + 17.5^2)

Evaluate

Hypotenuse = 21.22

Hence, the length of the hypotenuse is 21.22 cm

Read more about right triangles at:

https://brainly.com/question/23814470

Answer:

vertical angles

Step-by-step explanation:

bc they are across from eachother

b option is the answer

I am sure

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

:))

Answer:

50%

Step-by-step explanation:

Answer:

3,268,584

Step-by-step explanation:

1^12 is 1

Answer:

Solution given:

<ABC+<QRS=180°[supplementary]

<QRS=180°-100°

<QRS=80° is your answer

Answer:

18.0 cm

Step-by-step explanation:

[tex]hyp^{2} = opp^{2} + adj^{2}[/tex]

[tex]hyp^{2} = 6^{2} + 17^{2}[/tex]

[tex]hyp^{2} = 325[/tex]

[tex]hyp = 5\sqrt{13}[/tex]

[tex]= 18.028 cm[/tex]

9514 1404 393

Answer:

  4096∠0°

Step-by-step explanation:

The polar form of the base value is 2∠120°. Then the 12-th power is ...

  (2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish

_____

I prefer the simpler notation r∠θ, rather than ...

  r(cos(θ) +i·sin(θ))   or   r·cis(θ)   or   r·e^(iθ)

You might not see this notation very often in areas outside of electrical engineering.

Answer:

C: x=6 D: x=2

Step-by-step explanation:

Hope this helps

Answer:

3^12

Step-by-step explanation:

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

Answer:

{201-[68-(40/4)+(-8)+(70x2)]}

{201-[68-(40/4)+(-8)+140]}

{201-[68-10-8+140]}

{201-[68-18+140]}

[201-[50+140]}

{201-190}

11is your answer

Answer:

(69.708 ; 74.292) ; 78% ; 350 ;

H0 : μ = 72

H0 : μ > 72

Pvalue = 0.8897

there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Step-by-step explanation:

99.5% confidence level, = 2.807

Sample size, n = 150

xbar = 72

Standard deviation, s = 10

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 2.807 * 10/sqrt(150)

Margin of Error = 2.292

Lower boundary = 72 - 2.292 = 69.708

Upper boundary = 72 + 2.292 = 74.292

(69.708 ; 74.292)

B.)

Confidence level of the interval (71, 73)

(72 - 71 ) or (73 - 72)

Margin of Error = 1

Margin of Error = Zcritical * s/sqrt(n)

1 = Zcritical * 10/sqrt(150)

1 = Zcritical * 0.8164965

Zcritical = 1 / 0.8164965

Zcritical = 1.2247

α = 0.22 = 1 - 0.22 = 0.78 = 78%

C.)

Margin of Error = ±1.5

1.5 = Zcritical * s/sqrt(n)

99.5% confidence level, = 2.807

1.5 = 2.807 * 10/sqrt(n)

1.5 = 28.07 / sqrt(n)

Square both sides

1.5² = 28.08² / n

2.25n = 788.4864

n = 788.4864 / 2.25

n = 350.4384

n = 350 samples

D.)

H0 : μ = 72

H0 : μ > 72

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(73 - 72) ÷ 10/sqrt(150)

Test statistic = 1.2247

Pvalue :

P(Z < 1.2247) = 0.8897

Pvalue > α

0.8897 > 0.005

We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Answer:

x=20

Step-by-step explanation: