Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The probability of exactly no successes in seven trials of a binomial experiment in which p = 1/4

Answers

Answer 1

Answer: 0.1334

Step-by-step explanation:

Given

There are seven trails with a probability of success is  [tex]p=\frac{1}{4}[/tex]

[tex]\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}[/tex]

Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by

[tex]\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334[/tex]


Related Questions

Eric starts with 10 milligrams of a radioactive substance. The amount of the substance decreases by 12 each week for a number of weeks, w. He writes the expression 10(12)w to find the amount of radioactive substance remaining after w weeks. Andrea starts with 1 milligram of a radioactive substance. The amount of the substance decreases by 20% each week for a number of weeks, w. She writes the expression (1−0.2)w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Eric’s and Andrea’s expressions mean.

Answers

Answer:

In Pic

Brainliest?

Step-by-step explanation:

Answer: Mark as brainliest "If" help

Step-by-step explanation: Hope It helps,,

.

Which of the following shapes could have a triangular cross-section? Prism ,Cone ,Cylinder ,Pyramid ?

A) Prisms only
B) Prisms and Cones
C) Prisms, Cones, and Pyramids
D) Prisms, Cylinders, and Pyramids
please help me

Answers

The correct answer would be C

Hope this helped

Find the volume use pi as part of the equation round to nearest hundred

Answers

Answer:

V = 340.339

Step-by-step explanation:

V = [tex]\frac{\pi r^{2} h }{3}[/tex]

V = [tex]\pi[/tex][tex](5)^{2}[/tex] [tex]\frac{13}{3}[/tex] = 25[tex]\pi[/tex] [tex]\frac{13}{3}[/tex]  = about 340.3392 = 340.339

Answer:

340.17 ft.

Step-by-step explanation:

Using the formula, πr²h ÷ 3 (3.14 × radius × radius × height ÷ 3), we can plug-in the unknown values.

'r' means radius; 'h' means height; 'π' means pi.

The radius is 5; the height is 13.

πr²h (3.14 × radius × radius × height ÷ 3) - π5² × 13 = 340.166666667 (3.14 × 5 × 5 × 13 ÷ 3 = 340.166666667)

340.166666667 ≈ 340.17

Therefore, the area of this circular cone is 340.17 ft.

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi

Answers

The answer would be A. 15mi

A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.

What is Pythagoras's Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

Let x be the length of the boat from the dock.

From the Pythagoras' theorem

[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]

Hence, the length of the boat from the dock will be 15 miles.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

At what rate percent will the interest on Rs. 6300 in 10 years be equal to its principal?​

Answers

Answer:

the answer is 10÷6300×100=0,16%

A shipping container is in the shape of a right rectangular prism with a length of 7.5
feet, a width of 1.5 feet, and a height of 6.5 feet. The container is completely filled
with contents that weigh, on average, 0.34 pound per cubic foot. What is the weight
of the contents in the container, to the nearest pound?

Answers

Answer:

3

Step-by-step explanation:

because two plus two

What is the interquartile range (IQR)?

Answers

The answer should be 18

Answer:

IQR = 3

Step-by-step explanation:

if you create a box plot from the data provided, you get these values:

minimum:  4

quartile 1:  5

median:  6.5

quartile 3:  8

max:  22

range:  18

IQR is the difference between the 3rd and 1st quartiles

∴ the answer is 8-5 or 3

slope (7,-4) and (7,-1)

Answers

Answer:

undefined

Step-by-step explanation:

line is straight up and down

Answer:

Undefined. It ends up being 3/0 which can't happen so it remains undefined.

Step-by-step explanation:

Hal and Samantha are going on a trip to the state park. They want to be out there for no more than 8 hours, and they also want to travel at least 30 miles. They can hike at a rate of 3 mph, and they can canoe at a rate of 6 mph. If the solution region is the amount of time they spend hiking and canoeing so that they can meet their goals, which graph's shaded area represents the solution region?

Answers

Answer:

z

Step-by-step explanation:

please answer as soon as possible !!!

Answers

Answer:

hey I will answer.

Step-by-step explanation:

translation: 1 unit right and 2 units down ... U (-3,-4), M(-1,-1), L(-2,-5) ... R(-4, -3), D(-4,0), L( 0,0), F(0, -3) ... 7) translation: 2 units left and 1 unit down ... D(-4,1), A(-2,5), s-1, 4), N-1, 2).

Please help me I have been stuck for a while now

Answers

The square root of 9 is 3, so the square root of 11 would be a little greater than 3

The answer would be C. 3.3

Complete the table using the equation

Answers

Answer:

x      -1       0       1       2       3

y      2       4       6      8       10

Step-by-step explanation:

y = 2x + 4

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

x = 0: y = 2(0) + 4 = 4

x = 1: y = 2(1) + 4 = 6

x = 2: y = 2(2) + 4 = 8

x = 3: y = 2(3) + 4 = 10

x      -1       0       1       2       3

y      2       4       6      8       10

The length of a line segment is 13 units. One endpoint of the line segment is -3, 7. What four points could be the other endpoints of the line segment.

Answers

Answer:

the length of a line s3gment is 13 units then its 169

Without using a calculator, order the following numbers from least to greatest . 5 sqrt(14) 4

Answers

Answer:

.5, sqrt 14, 4

Step-by-step explanation:

.5, 3.7416, 4

plz this is due today

Answers

Answer:

F

Step-by-step explanation:

3.5*3=10.5

What is the result when the number 72 is decreased by 44%? Round your answer to the nearest tenth.

Answers

I’m pretty sure in 40.3

Here is how to solve it.

44% of 72 is 31.68

Now you subtract 72-31.68 and get 40.32.

Then you round to the nearest tenth so then it’s 40.3

If using the method of completing the square to solve the quadratic equation x2 – 3x + 20 = 0, which number would have to be added to "complete the square"?​

Answers

Answer:

         ⁹/₄

Step-by-step explanation:

The square is:  a²-2ab+b²

We have

[tex]x^2-3x[/tex]

it's:   [tex]x^2-2\cdot x\cdot\frac32[/tex]

so we need:   [tex]\left(\frac32\right)^2=\frac94[/tex]

[tex]x^2-2\cdot x\cdot\frac32+\frac94-\frac94+20=0\\\\(x-\frac32)^2-2.25+20=0\\\\(x-\frac32)^2=-17.75[/tex]

witch, of course, means no solution

   

Plz help geometry will mark brainliest!!

Answers

Answer:

x = 20

Step-by-step explanation:

The angle of c is 46°
It doesn’t say to find m it says to find the angle c
The m in front of the notation refers to the “measure of angle” labeled C
Hence the answer is 46°

Sofia buys 6 goldfish. Each goldfish costs $2. Sofia pays for the goldfish with one $10 bill and one $5 bill.

How much change does Sofia get back?

Answers

Answer:

$3

Step-by-step explanation:

6 x $2 = $12

$15 - $12 = $3

$3 Answer

Answer:

3  is your answer i have the same quiz

Step-by-step explanation:

Which answer is correct?

Answers

Answer:

B

Step-by-step explanation:

Philip rode less than her so immediately you subtract which cancels answers a and d.

we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5

Miguel does 150 lunges and 120 pushups each week. Which statement is true about the ratio of lunges to pushups?
For every 5 lunges Miguel does, he does 4 pushups.
For every 4 lunges Miguel does, he does 5 pushups.
For every 15 lunges Miguel does, he does 4 pushups.
For every 12 lunges Miguel does, he does 5 pushups.

Answers

Answer:

For every 5 lunges, 4 pushups

Step-by-step explanation:

5 lunges 4 pushups ig is zuztc

Evan recorded the total inches of rain per week during two wet spring months. He ordered his data in the list below. Weekly rainfall (inches): 2.4, 2.9, 3.6, 3.8, 4.1, 4.2, 4.7, 5. Which measure(s) best describes the weekly amount of rain during this period, to the nearest tenth of an inch?

A.the median only: about 3.9 in.
B.either the mean (about 3.8 in.) or the median (about 3.9 in.)
C.the mean only: about 3.8 in.
D.the range only: 2.6 in.

Answers

Answer:

B?

Step-by-step explanation:

find the remainder when x⁴+x³-2x²+x+1 divided by x+1​

Answers

Answer:

[tex]\frac{-2}{x+1}[/tex]

Step-by-step explanation:

[tex]x^3-2x+3-\frac{2}{x+1}[/tex]

also if ur brainly staff and seeing this

plz remove/delete my account asap tysm

Write an algebraic expression for the phrase below
12 less than twice a number n
A 12 - n -n B 6 - 2n C 2n - 12 D 12n – 2

Answers

The answer is C. 2n-12

Answer:

The answer is C: 2n - 12. Hope this helps!

A bag of M&M's have 5 red, 9 green and 2 brown left in it. You draw out one M&M and put it back then draw another. What is the probability of drawing a red first and a red second? Write your answer as a decimal rounded to the nearest thousandth

Answers

Answer:

0.098

Step-by-step explanation:

i need help with this plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Parallel lines have to have the same slope, and the only one that has a slope of 1/4 is y = 1/4x - 1/2

(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units

Plz help

Answers

Answer: Choice D

|-50-12| = |-62| = 62 units

================================================================

Explanation:

Draw out a number line. Mark two points on it at A = -50 and B = 12

The expression |A-B| represents the distance between the two points. So that would be....

|A-B| = |-50-12| = |-62| = 62

Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.

-------------------

Slightly alternative method:

If you wanted, you could plot point C on the number like such that C is at 0.

The distance from A = -50 to C = 0 is exactly 50 units

From C = 0 to B = 12 is an additional 12 units

Therefore, the total distance is AC+CB = 50+12 = 62 units

-------------------

Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.

Hellppppppppppppp I neeeeed itttt

Answers

Answer:

20

Step-by-step explanation:

In 3 548 729, what digit is in the ten thousands place?

Answers

Answer:

4

Step-by-step explanation:

Answer: 7

Step-by-step explanation: because it is 5 spaces over

Find A and B. Using the image above.

Answers

Answer:

a = 7, b = [tex]\frac{7\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

a × [tex]\sqrt{2}[/tex] = 7[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = [tex]\sqrt{3}[/tex] , then

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{b}[/tex] = [tex]\frac{7}{b}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by b )

b × [tex]\sqrt{3}[/tex] = 7 ( divide both sides by [tex]\sqrt{3}[/tex] )

b = [tex]\frac{7}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{7\sqrt{3} }{3}[/tex]

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