At one school, the ratio of boys to girls in the seventh grade is 12:11. There are 66 girls in the seventh grade. How many boys are there?​

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:

60

Step-by-step explanation:

I hope you understand what I wrote

Answer:

2x - 4 = x - 10

Step-by-step explanation:

Answer:

5 rides

Step-by-step explanation: Multiply the number of kiddie rides his sister will go on (5) by the amount of tickets it costs each (3). subract that from 40 (the initial amount of tickets). then divide that by 5 (amount of tickets for  1 thrill ride)

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: -5,1

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

Answer:

mathwaaaaay

Step-by-step explanation:

its dont have all those a's in it tho

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:

Slope -6,5

Step-by-step explanation:

Slope of the equation is -6.5 which is mean that every our his battery lose 6.5 percent of charge. 52 represent here the percentage of battery at the time he left the house.

Answer:

78.38

Step-by-step explanation:

Answer:

Square root of 6144

Step-by-step explanation:

78.3836717691

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:

x=50

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 :)

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:

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

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.

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:

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:

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:

490.87 inches²

Step-by-step explanation:

Hi there!

What we're trying to find: the area of the circular-shaped pizza

What we know: the diameter of the pizza (25 inches)

Area of a circle = [tex]\pi r^2[/tex] where r is the radius of a circle

To find the radius, divide the diameter by 2:

25 inches ÷ 2 = 12.5 inches

Plug 12.5 inches into the area equation

[tex]A=\pi r^2\\A=\pi (12.5)^2\\A=\pi (12.5)^2\\A=156.25\pi \\A=156.25\pi \\A=490.87[/tex]

The area of the circle (pizza) is approximately 490.87 inches².

Therefore, Daniel ate 490.87 inches² worth of pizza.

I hope this helps!

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:

B

Step-by-step explanation:

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:

<1 and <3

They are verticle angles.

Answer: <1 and <3

Hope this helps :D

Pls don’t mad if this is wrong

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:

15) letter A

16) letter C

Step-by-step explanation:

Used a graphing calculator,

hope this helps.