A coffee shop sells 5 different types of cake and 6 different kind of drinks. Ruby wants to order a cake and a drink. How many different combinations of cake and drink could she choose?

Answer:

1. 17.8 cm

2. 32.0 cm

3. 15.9 m

Step-by-step explanation:

1. Determination of the length of the arc.

Radius (r) = 6 cm

Angle at the centre (θ) = 170°

Pi (π) = 3.14

Length of arc (L) = ?

L = θ/360 × 2πr

L = 170/360 × 2 × 3.14 × 6

L = 17/36 × 37.68

L = 17.8 cm

2. Determination of the length of the arc.

Diameter (d) = 13 cm

Angle at the centre (θ) = 282°

Pi (π) = 3.14

Length of arc (L) = ?

Next, we shall determine the radius. This can be obtained as follow:

Diameter (d) = 13 cm

Radius (r) =?

r = d/2

r = 13/2

r = 6.5 cm

Finally, we shall determine the length of the arc. This can be obtained as follow:

Radius (r) = 6.5 cm

Angle at the centre (θ) = 282°

Pi (π) = 3.14

Length of arc (L) = ?

L = θ/360 × 2πr

L = 282/360 × 2 × 3.14 × 6.5

L = 282/360 × 40.82

L = 32.0 cm

3. Determination of the length of the arc.

Radius (r) = 11 m

Angle at the centre (θ) = 83°

Pi (π) = 3.14

Length of arc (L) = ?

L = θ/360 × 2πr

L = 83/360 × 2 × 3.14 × 11

L = 83/360 × 69.08

L = 15.9 m

Step-by-step explanation:

hakssmsjxxajxnskjznzmzKsjx

Answer:

a) 20 sixth graders.

b) 6 sixth graders.

c) 2/9x sixth graders.

d) 189 students in the school.

Step-by-step explanation:

a) 2/9 of 90 = 2/9 * 90 = 20 students.

b) 2/9 of 27 = 2/9 * 27 = 6 students.

c) 2/9 of x = 2/9x

d) 42 = 2/9x so solve the equation: x = 189 students.

If we have 90 students in the school then we will have  20 sixth grade students.

a. From the details of the question, we have 2/9 of the students in the school in sixth grade. Hence;

Number of students in sixth grade = 2/9 × 90 = 20 sixth grade students

b. If the school has 27 students, number of sixth graders =  2/9 ×  27 = 6 sixth grade students

c. If we have x students in the school, the number of sixth graders =  2/9 × x = 2/9x students

d. If we have 42 students in sixth grade, the number of students in the school is;

2/9 × x = 42

x = 9/2 × 42 = 189 students

Learn more about fractions: https://brainly.com/question/1301963

Answer:

6yx

Step-by-step explanation:

Answer:

x= 28

Step-by-step explanation:

combine the equations and set equal to 180, since a striaght line is 180 degrees. When combined you get, 6x + 12=180. Subtract, 180-12=168, then divide by 6 to get 28

Answer:

Step-by-step explanation:

(4,3)(-6,3)

3-3/-6-4

m=0

y=3

Answer:

y=3

Step-by-step explanation:

Something that I notice about this is that the 2 y coordinates are the same

This means that the line isn't increasing nor decreasing, it's constant

if we look at the y=mx+b

we have, so far,

y=0x+b

we just need be

we know that when x=4 y=3 so we have

3=(0)(4)+b

b=3

so the answer is just y=3

Answer:

0.2

Step-by-step explanation:

Sorry i dk how to explain it

Look down at the photos!

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V

Answer:

Step-by-step explanation:

From the given information:

Assume X represents the no. interviewed until 1 has advanced training.

X obeys a Geometric distribution with parameter 0.3.

X  [tex]\sim[/tex] Geom (0.30)

For geometric distribution, the probability density is:

[tex]P(X =x) = p(1-p) ^{x-1} \ \ \ where; x =1,2,3...[/tex]

TO calculate the required probability;

[tex]P(X =5) =0.30 (1-0.30)^{5-1}[/tex]

[tex]P(X =5) =0.30 (0.70)^{4}[/tex]

[tex]P(X=5) = 0.30 \times 0.2401[/tex]

[tex]\mathbf{P(X=5) = 0.07203}[/tex]

(b)

The expected no. of applicants that need to be interviewed are:

[tex]E(X)=\dfrac{1}{p}[/tex]

[tex]E(X)=\dfrac{1}{0.30}[/tex]

E(X) = 3.33

(c)

The mean and the variance can be computed as:

[tex]E(Y) = \dfrac{1}{p}[/tex]

[tex]E(Y) = \dfrac{1}{0.30}[/tex]

E(Y) = 3.33

[tex]V(Y)=\dfrac{1-p}{p^2}[/tex]

[tex]V(Y)=\dfrac{1-0.3}{0.3^2}[/tex]

[tex]V(Y)=\dfrac{0.7}{0.3^2}[/tex]

[tex]V(Y)=7.778[/tex]

Suppose  C represents the no. of the total cost and given that each interview costs $30.

Then C = 30Y

Recall that; C is constant for a random variable X

∴

E(C) = E(30Y)

E(C) = 30E(Y)

E(C) = 30*3.33

E(C) =99.9

E(C) [tex]\simeq[/tex] 100

V(C) = V(30Y)

V(C) = 900 V(Y)

V(C) = 900*7.778

V(C) = 7000.2

V(C) [tex]\simeq[/tex] 7000

Answer:

Right angle triangle

Step-by-step explanation:

Answer:

p-56

Step-by-step explanation:

Since Pablo has 56 less peppermints

you would take Ryan's amount (P) and subtract 56 to get Pablo's amount

Answer:

0.05 kilowatts

Answer:

0. 05

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

(1,4)

(2,1)

(3,2)

(4,3)

i listed them in the order shown, like if i wrote 4 then it's 4th on the list lol

Answer:

I'm gonna say the order from left to right so for example, if I say 1 1 to 4, i mean the first one on the left, leads to the last one on the right. Answers are below:

Step-by-step explanation:

1 to 4

2 to 1

3 to 3

4 to 2.

And before you say i copied the person above me, I didn't. Their answers are wrong, all i did was copy the idea because i don't have enough time to write out the actual answers. Hope this helped.

Answer:

[tex]P(x \ge 45000) = 0.77935[/tex]

Step-by-step explanation:

Given [Missing from the question]

Exhibit Teacher's Salary:

[tex]\bar x=50000[/tex]

[tex]s = 6500[/tex]

Required

Calculate [tex]P(x\ge 45000)[/tex]

First, we calculate the z score

[tex]z = \frac{x - \bar x}{s}[/tex]

[tex]z = \frac{45000 - 50000}{6500}[/tex]

[tex]z = \frac{-5000}{6500}[/tex]

[tex]z = -0.77[/tex]

[tex]P(x \ge 45000) = P(z \ge -0.77)[/tex]

[tex]P(x \ge 45000) = 1 - P(z \le -0.77)[/tex]

From the table:

[tex]P(z \le -0.77) = 0.22065[/tex]

So, we have:

[tex]P(x \ge 45000) = 1 - 0.22065[/tex]

[tex]P(x \ge 45000) = 0.77935[/tex]

Answer:

Should be $11.25

Step-by-step explanation:

Since 25% is 1/4 you can just divide 45 by 4.

45/4 = 11.25

Answer: 33.75. 25% of 45 is 11.25. So 45-11.25=33.75

Step-by-step explanation:

The answer is A because when you divide into 175 to find the amount discounted, then you subtract that to 175 and you get 145.25

Answer:

b = 5.5

Step-by-step explanation:

In a paralelogram

A = bh

Just plug in the numbers

they said A = 60

and the number 11 is the height

60 = 11b

Divide

b = 60/11

b = 5.454545454

Answer:

1) x-2y 2) 2(13a-5)

Step-by-step explanation:

1) -1/2(-2x+4y)=2/2x-4/2y=x-2y

2) 26a-10=2(13a-5)

Answer:

(0,0) or Infinitely many solutions.

Step-by-step explanation:

-−4x−4y=0

−4x−4y+4y=0+4y(Add 4y to both sides)

−4x=4y

−4x/-4= 4y/-4

(Divide both sides by -4)

x=−y

4x+4y=0

4(−y)+4y=0

0=0

Answer:

X/-2>5

Step-by-step explanation:

This is an Inequality

Answer:

30%

Step-by-step explanation:

Simply divide your final value (750) by your initial value (2500).

a/b The decay can be modeled by this equation, (1 - r), the r being the rate of decay. So it would be 1-0.115. (0.115 is your answer for a) You have to convert the percent into a decimal by moving the deicmal place two places to the left. 0.885 is your answer for b.

c. For function notation, that just means write an equation. So you want your decay times your inital.  V(t)=15000(0.885)^x. We get the V(t) from the directions that they want us to put it in; it's basically y.

d. Since it's two years, plug in 2 for x. This shows the decay after two years

V(t)=15000(0.885)^2

e. As with d, plug in 10 for x. V(t)=15000(0.885)^t

Answer: It's 1/10 square units^3

Step-by-step explanation: 3/20 * 2/3

multiply the 3 times the 2, then multiply the 20 times the 3 and you will get 6/60 which simplifies to 1/10. Hope this helps.

Answer:

nice pfp also 2507.99

Step-by-step explanation:

you would find out 3/5ths of the amount of money she earned then multiply 20 by 2 then take that away from whatevers left from paying bills then subtract 12.99 from the 2520.98 you got after paying for the shirts leaving you with 2507.99

Answer:

3>-3

Step-by-step explanation:

make an open dot on 3 and make a line going towards the left.

Answer:

$25.00

Step-by-step explanation: