Please answer the question CORRECTLY with a logical explanation.

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:

2q-r= 5s

divide both sides by 5

2q-r/s =5s/5

therefore S= 2q-r/s

Answer:

Step-by-step explanation:

Subtract 2Q from both sides

2Q + 5s − 2Q = r − 2Q

Simplify

5s = r − 2Q

Divide both sides by 5

[tex]\frac{5s}{5} =\frac{r}{5} -\frac{20}{5}[/tex]

Simplify

[tex]s=\frac{r-20}{5}[/tex]

Answer:

46.75

Step-by-step explanation:

first, separate the floor into 3 different rectangles to calculate the area and then add them together.

area of rec=L*B

rec 1: 5.5*4=22

rec 2: (6.5-3)*(8.5-3-4)=5.25

rec 3:3*6.5=19.5

Then:

22+5.25+19.5=46.75

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:

16 dinners

Step-by-step explanation:

12/ 3/4=16

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:

Its C on edge

Step-by-step explanation:

edge2021

Answer:

a=18

Step-by-step explanation:

edge2021

Answer:

926kg

Step-by-step explanation:

712kg-498kg=214kg+712kg=926kg

3/4. 2/4. 1/4. 3/4. 4/4

Answer:

70kg

Step-by-step explanation:

Firstly, because nothing else changed about the treasure chest apart from the amount of treasure when the mass increased, the difference in mass must be the mass of the 1/4 chest of treasure which was added.

712 - 498 = 214kg

Now that we know that 1/4 chest's worth of treasure has a mass of 214kg, we can multiply this by 2 to find the mass of 1/2 a chest of treasure (without the chest):

214 x 2 = 428 kg

We now know that since 1/2 a chest of treasure has a mass of 428kg, the difference between the mass of the chest AND treasure when it is half full must be the mass of the box:

498 (mass of chest and 1/2 chest worth of treasure) - 428 (mass of just 1/2 chest worth of treasure only) = 70kg (mass of chest only)

We can check this by using the other given mass as well. 214 x 3 = 642kg

This means 3/4 of a chest's worth of treasure only, has a mass of 642kg, meaning the extra mass in the 712kg must be the mass of the chest:

712 - 642 = 70kg

The chest has a mass of 70kg.

Hope this helped!

16Answer:

16

Step-by-step explanation:

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:

78.38

Step-by-step explanation:

Answer:

Square root of 6144

Step-by-step explanation:

78.3836717691

Answer:

<1 and <3

They are verticle angles.

Answer: <1 and <3

Hope this helps :D

Pls don’t mad if this is wrong

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:

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.

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

Step-by-step explanation:

Answer:

628.32 in.²

Step-by-step explanation:

Height: 15 in.

Diameter: 10 in.

Radius: 5 in.

A = 2πrh + 2πr²

2 · π · 5 · 15 + 2 · π · 5²

≈ 628.32

[tex] \huge{ \underline{ \mathcal{Given : }}}[/tex]

[tex]\huge{ \mathcal{ \underline{ solution} }}࿐[/tex]

[tex] \boxed{Area =2 \pi r(h + r)}[/tex]

Surface Area = 628 in²

[tex] \#TeeNForeveR[/tex]

Answer:

Número 2

Step-by-step explanation:

Answer:

The volume of the sphere is increasing at a rate of 56,549 cubic millimeters per second.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius.

Solving this question:

The first step do solve this question is derivating V implictly in function of t. So

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

The radius of a sphere is increasing at a rate of 5 mm/s.

This means that [tex]\frac{dr}{dt} = 5[/tex]

Diameter is 60 mm

This means that [tex]r = \frac{60}{2} = 30[/tex]

How fast is the volume increasing (in mm3/s) when the diameter is 60 mm?

This is [tex]\frac{dV}{dt}[/tex]. So

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

[tex]\frac{dV}{dt} = 4\pi*30^2*5 = 900*20\pi = 56549[/tex]

The volume of the sphere is increasing at a rate of 56,549 cubic millimeters per second.

Answer:

19/28

Step-by-step explanation:

People who count: 4 + 2 + 13 = 19

Total amount of pplz: 19 + 9 = 28

Answer:

15/28

Step-by-step explanation:

The total amount of students in the class is 28. This will be useful for later.

From this table, we can see that 2 people play sports alone and 13 play an instrument alone. Since it says the number of students that play a sport or an instrument, this means that the top left box is not counted. This leaves you with an answer of 15/28.

Step-by-step explanation:

1.

The given equation is :

6x+2y=14

We need to write it in the function form.

Taking 2 common from both sides,

2(3x+y)=2(7)

So,

(3x+y)=7

Subtract 3x from both sides,

y+3x-3x=7-3x

y = 7-3x

So, the correct option is (c).

2. f(x) = 3x-4

We need to find f(2). Put x = 2 in the above function.

f(2) = 3(2)-4

= 6-4

= 2

The correct option is (D).

Answer:

She Jen djzksndhdi

Step-by-step explanation:

Answer:

Thank you so much!! let me know if you need any help on anything!

Step-by-step explanation:

Answer:

13/5

Step-by-step explanation:

first make the mixed fraction into proper fraction

how to make mixed into proper:

Step 1

Multiply the denominator by the whole number

4 × 3 = 12

Step 2

Add the answer from Step 1 to the numerator

12 + 1 = 13

Step 3

Write answer from Step 2 over the denominator

13/4

=[tex]\frac{13}{14}[/tex]

step 2.

multiply across.

example : 13 x 4 =52.

4x5=20

step 3:

divide 52/20 as the lowest possible.

which comes out to 13/5

Answer:

The Answer is D or 12^x+1 (12^h - 1) / h

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got it right

Answer:

mathwaaaaay

Step-by-step explanation:

its dont have all those a's in it tho