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Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271

Using the binomial probability relation :

P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)

Using a binomial probability calculator :

P(x ≥ 100) = 0.0271

Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271

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Step-by-step explanation:

the graph of this function is

Answer:Domain:  ( 4 , ∞ ) , { x | x > 4 }

Finite approximation method of estimating the area under the curve of the

given function makes use of rectangular approximation of the area.

The correct responses are;

i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.

ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.

iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.

Reasons:

The given function is f(x) = 5·x²

The given domain is x₀ to x₁₄

i) Estimate using lower sum with two rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]

f(0) = 0

f(7) = 5 × 7² = 245

A = 0 × 7 + 245 × 7 = 1,715

The estimated area using a lower sum with two rectangles of equal width

is 1,715 square units.

ii) Estimate using lower sum with four rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]

f(0) = 0

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25

The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) Estimate using an upper sum with two rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]

f(7) = 5 × 7² = 245

f(14) = 5 × 14² = 980

A = 245 × 7 + 980 × 7 = 8575

The estimated area using an upper sum with two rectangles of equal width

is 8,575 square units.

iv) Estimate using an upper sum with four rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

f(14) = 5 × 14² = 980

A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25

The estimated area using a upper sum with four rectangles of equal width

is 6,431.25 square units.

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Answer:

8

Step-by-step explanation:

Answer:

y+zx=a (see below for variables

Step-by-step explanation:

You haven't attached an image, so I'll I assume you want the equation

y is amount of water, x is time, z is water drained per minute, and a is the original amount o water

y=a-zx

rearranging it for the original amount of water

y+zx=a

Answer:

360 liters

Step-by-step explanation:

The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.

Step-by-step explanation:

Given equations :-

Substitute (2) in (1) :-

Step-by-step explanation:

No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141

Step-by-step explanation:

We are given that Lena can knit 14 square inches of a blanket in hours

So, No. of square inches of knit per hour = 14

No. of hours spent in  knitting 14 square inch = 1

No. of hours spent in knitting 1 square inch = \frac{1}{14}141

So,  No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141

Answer:

7 means ones because it is the units

Step-by-step explanation:

4= thousand

5= hundred

6= tens

7=ones / unit

(2y+5)(x−6)

not rlly sure tho

Answer:

the answer is 30 or 5

Step-by-step explanation:

tvgnfjh

The statement "the square of the longest side is equal to the sum of the squares of the two shorter sides" is true for a right-angled triangle.

(a) 5 cm, 12 cm and 13 cm

The statement is represented as:

[tex]\mathbf{13^2 = 12^2 + 5^2}[/tex]

[tex]\mathbf{169= 144 + 25}[/tex]

[tex]\mathbf{169= 169}[/tex]

Hence, the statement is true for triangle (A)

(b) 4 cm, 5 cm and 7 cm

The statement is represented as:

[tex]\mathbf{7^2 = 5^2 + 4^2}[/tex]

[tex]\mathbf{49 = 25 + 16}[/tex]

[tex]\mathbf{49 = 41}[/tex]

Hence, the statement is not true for triangle (B)

(c) 3 cm, 4 cm and 5 cm

The statement is represented as:

[tex]\mathbf{5^2 = 4^2 + 3^2}[/tex]

[tex]\mathbf{25 = 16 + 9}[/tex]

[tex]\mathbf{25 = 25}[/tex]

Hence, the statement is true for triangle (C)

(d) 9 cm, 12 cm and 15 cm

The statement is represented as:

[tex]\mathbf{15^2 = 12^2 + 9^2}[/tex]

[tex]\mathbf{225 = 144 + 81}[/tex]

[tex]\mathbf{225 = 225}[/tex]

Hence, the statement is true for triangle (D)

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Use Euler's formula for polyhedra: V - E + F = 2  

vertices - edges + faces = 2  

So edges = vertices + faces - 2 = 18 + 11 - 2 = 27.  

Answer:

27 edges.

Answer:

I think that the speed is 65mph, because there is the largest number of people on the graph for 65mph.

Step-by-step explanation:

Answer:

Keegan is correct.

Step-by-step explanation:

Keegan is correct.

Put a decimal point after the first digit which is 7. Count decimal places there are after the 7, this will be your power of 10. There are 18 decimal places after the 7. This means the answer would be 7 x 10^18.

Basically, Keegan is right

when you present 7,492,000,000,000,000,000 in standard form, it is indeed, 7×10¹⁸, the reason Jeff is wrong is because he only counted Os and not the numbers 492 which Keegan rounded to Os. Ok, to simply this 7×10¹⁵ equals 7 000 000 000 000 000, and 7×10¹⁸ is 7 000 000 000 000 000 000 while is closer to thee original answer than Jeff's response.

Please mark BRAINLIEST if you're satisfied with this explanations.

We want to find the probability of randomly drawing 3 spades from a standard deck.

The probability of getting 3 spades is 0.0129

Let's see how to get that probability.

A standard deck has 52 cards, 13 of them are spades.

The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.

So for the first spade card, the probability is:

p = 13/52

For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:

q = 12/51

For the final card, there will be 11 spade cards and 50 cards in total, but we will have:

k = 11/50

The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:

P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129

The probability of getting 3 spades is 0.0129

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Answer:

Add/multiply the exponents first.

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

5x+2=3x+4(2x-1)

5x+2=3x+8x-4

5x+2=11x-4

5x-11x=-4-2

-6x=-6

6x=6

x=1

Answer:

guath math

Step-by-step explanation:

There is an app called guath math and it shows you all the steps and everything to a math problem just by scanning it. Also it is fast than asking people on brainly;

Answer:

268 cm^2

Step-by-step explanation:

Pink prism:

top: 2 cm * 2 cm = 4 cm^2

right, left, back, front: 4 * 2 cm * 6 cm = 48 cm^2

bottom: completely covered in connection to green prism

Total surface area of pink: 52 cm^2

Green prism:

bottom: 10 cm * 5 cm = 50 cm^2

front, back: 2 * 10 cm * 4 cm = 80 cm^2

right, left: 2 * 5 cm * 4 cm = 40 cm^2

top: 10 cm * 5 cm - 2 cm * 2 cm = 46 cm^2

Total surface area of green: 216 cm^2

Total surface area of composite solid:

52 cm^2 + 216 cm^2 = 268 cm^2

Answer:

The answer for this question is B and C

The answer is B and C

The equation above is in point slope form

y-y1=m(x-x1)

Using the form, you can see that m represents the slope which is 60, y1 is 10 and x1 is 40. (40,10)

So thats why B and C is the answer!

brianlist me?

Answer:

I think it's x=5

Step-by-step explanation:

3x+15=2x+20

-2x. -2x

x+15=20

-15. -15

x=5

sorry if is not the answer

Answer:

just put the 25 into the equation, and you get the M, as the money she earn

2.5(25) + 12 = 74.5 that is the amount she earns

Answer: 74.5

Step-by-step explanation:

M = money = ?

f = faces she paint = 25 faces

M = 2.50(f) + 12 —> ? = 2.50(25) + 12 = 74.5

Answer:

brian drink 7 cups of milk

Step-by-step explanation:

Answer:

it is called a linear pair.

mark brainliest pls

Answer:

lianer lines

Step-by-step explanation:

Answer:

4 3/8

Step-by-step explanation:

must get a common denominator so u must multiply 2 times 4 to get 8 and mutiply the top by 4 also. now u will have 2 4/8 plus 1 7/8. add the fractions and u will have 11/8, simplify to get 1 3/8. add the whole numbers 2 plus 1 plus 1 equals 4 3/8

Answer:

Step-by-step explanation:

Given:

a. compounded semiannually, n = 2

b. compounded quarterly, n = 4

c. compounded monthly, n = 12

d. compounded continuously

I don't know if this is a question that deserves an answer but I say a 2 out of 5 .

Answer:

Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm

The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again