At an ice cream shop, there are 3 different flavors of ice cream and 10 different toppings. How many different outcomes are possible?

Answer:

401

Step-by-step explanation:

a = 5

d = [tex]a_2[/tex] - a

= 11 - 5

= 6

[tex]a_{67}[/tex]= a + (n-1)d

= 5 + (67-1)6

= 5 + 66 × 6

= 5 + 396

= 401

Answer:

401. is your correct answer.

Using the binomial distribution, it is found that there is a 0.0432 = 4.32% probability that she makes less than 6 of them.

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For each throw, there are only two possible outcomes. Either she makes it, or she misses it. The probability of making a throw is independent of any other throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution  

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The probability of making less than 6 is:

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{13,0}.(0.654)^{0}.(0.346)^{13} \approx 0[/tex]

[tex]P(X = 1) = C_{13,1}.(0.654)^{1}.(0.346)^{12} \approx 0[/tex]

[tex]P(X = 2) = C_{13,2}.(0.654)^{2}.(0.346)^{11} = 0.0003[/tex]

[tex]P(X = 3) = C_{13,3}.(0.654)^{3}.(0.346)^{10} = 0.0020[/tex]

[tex]P(X = 4) = C_{13,4}.(0.654)^{4}.(0.346)^{9} = 0.0093[/tex]

[tex]P(X = 5) = C_{13,5}.(0.654)^{5}.(0.346)^{8} = 0.0316[/tex]

Then

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0 + 0 + 0.0003 + 0.0020 + 0.0093 + 0.0316 = 0.0432[/tex]

0.0432 = 4.32% probability that she makes less than 6 of them.

A similar problem is given at https://brainly.com/question/24756209

Answer:

20 cubic meters

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

Dividing the figure into 2 rectangular prisms

Volume of First rectangular prisms = 4m * 2m * 1m

Volume of First rectangular prism = 8m^3

Volume of second rectangular prism = 4m * 3m * 1m

Volume of second rectangular prism = 12m^3

Taking the sum

Volume of the figure = 8m^3 + 12m^3

Volume of the figure = 20 cubic meters

Answer:

13 games

Step-by-step explanation:

Answer:

13 games

Step-by-step explanation:

Answer:

i think it's 27

Step-by-step explanation:

sorry if im wrong

Answer:

78.38

Step-by-step explanation:

Answer:

Square root of 6144

Step-by-step explanation:

78.3836717691

Answer:

Option B:

[tex]H_0: \mu = 22.1[/tex]

[tex]H_a: \mu \neq 22.1[/tex]

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

[tex]H_0: \mu = 22.1[/tex]

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

[tex]H_a: \mu \neq 22.1[/tex]

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

Answer:

It is in the plant 19.

Step-by-step explanation:

this is very simple. so basically u need statistic for the persetage of finding the answer. basically what jm saying is if u wear a blue shirt on monday and green on tuesday. then thertiocially u should wear a opsiote the following week. hope rhis helps :)

Answer:

B = 12800 grams or 12kg 800 grams.

Step-by-step explanation:

Let the two puppies be A and B respectively.

Translating the word problem into an algebraic expression, we have;

A + B = 22kg 300g

A = 9kg 500g

Conversion;

1 Kilograms = 1000 grams.

9kg 500g = 9*1000 + 500 = 9500 grams

22kg 300g = 22*1000 + 300 = 22300 g

Substituting into the above formula, we have;

9500 + B = 22300

B = 22300 - 9500

B = 12800 grams or 12kg 800 grams

Answer:

x = 7

Step-by-step explanation:

Since the x- coordinates of the 2 points are equal, both 7 , then the line is vertical with equation

x = c

where c is the value of the x- coordinates the line passes through, then

x = 7 ← equation of line

Answer:

I hope this is right, im not sure because they are coincides or the same lines when overlapped, but I tried.

3x+0

Step-by-step explanation:

Using the formula mx+b we can get our answer.

We know that the two points pass through (7, 0)

mx+b is (slope)x+(y-intercept)

The slope of the two lines is 3 so we can replace m for 3:

3x+b

the y-intercept does not exist for these two lines as they are coincides, so we can just put it at 0, so we now have our equation 3x+0.

Answer:

60

Step-by-step explanation:

I hope you understand what I wrote

Answer:

x=50

Step-by-step explanation:

Step-by-step explanation:

1) 180-125=55°

2) 90-67=23°

3) 180-102=78°

4) 90-30=60°

5) 180-129=51°

6) 180-155=25°

Answer:

mathwaaaaay

Step-by-step explanation:

its dont have all those a's in it tho

Answer: B. 1/2

2 tooth pick touching out of the 5 that is 2/5. 2.5/5 is one half so that 1/2 half is really close to a half.

Answer:

9 10/11 km

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

7 2/11 km to school

Another 2 8/11 km to the park

Step 2: Find Total

Answer:

2x - 4 = x - 10

Step-by-step explanation:

The missing value in the equation is 2.When we substitute 2 for the missing number, the LHS value equals the RHS value.So, response 2 is the right one.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

y=5(?)^x

The given data from the table;

X 0 1 2 3 4 5 6

Y 5 10 20 40 80 160 320

If we put the value 2 on the missing place it will satisfy the relation;

y=5(?)ˣ

5=5(2)⁰

5=2×1

5=5

10=5(2)¹

10=5×2

10=10

20=5(2)²

20=5×4

20=20

The value of LHS is equal to the RHS when we put 2 on the place of missing value.

Hence 2 is the correct answer.

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ1

Answer:

The 32 electricians will take 1 day and 3 hours to complete the wiring.

Step-by-step explanation:

Since it takes electricians 36 days to wire a new housing subdivision, to determine how many days would 32 electricians take to do the same job the following calculation must be performed:

36/32 = X

1.125 = X

1 = 24

0.125 = X

0.125 x 24 = X

3 = X

Therefore, the 32 electricians will take 1 day and 3 hours to complete the wiring.

Answer:

356%

Step-by-step explanation:

Incease in weight

2,918 - 640 = 2,278

% increase

p = increase / original  * 100%

p = 2,278 / 640 * 100

p = 355.9375%

Rounded

356%

Answer: -5,1

Step-by-step explanation: Hope this help :D

Answer:

B

Step-by-step explanation:

Answer:

<1 and <3

They are verticle angles.

Answer: <1 and <3

Hope this helps :D

Pls don’t mad if this is wrong

Answer:

(D) a hexagon......................

Answer:

Option E

The answer is (x - 4) (x - 6)

Step-by-step explanation:

x² - 10x + 24

x² - 6x - 4x + 24

x(x - 6) - 4(x - 6)

(x - 4) (x - 6)

Thus, The answer is (x - 4) (x - 6)

-TheUnknownScientist

Answer:

15) letter A

16) letter C

Step-by-step explanation:

Used a graphing calculator,

hope this helps.