Form three equations starting with x=1/2

Answer:

[tex] P(Head) = \frac{65}{100}=0.65[/tex]

[tex] P(Tail) = \frac{35}{100}=0.35[/tex]

And for this case the probability that in the next flip we will get a tail would be:

[tex] P(Tail) = \frac{35}{100}=0.35[/tex]

Step-by-step explanation:

For this case we know that a coin is toss 100 times and we got 65 heads and 35 tails.

We can calculate the empirical probabilities for each outcome and we got:

[tex] P(Head) = \frac{65}{100}=0.65[/tex]

[tex] P(Tail) = \frac{35}{100}=0.35[/tex]

And for this case the probability that in the next flip we will get a tail would be:

[tex] P(Tail) = \frac{35}{100}=0.35[/tex]

Answer:

44π rads per seconds

Step-by-step explanation:

Already the speed of the 4 foot blade is given as 22 revolutions per sec.

What we have to do is just to convert the 22 revolutions per second to radians.

1 rev = 360°

360° = 2π

So the speed is actually equal to

22 *360 = 7920° per second

Or

22*2π = 44π rad per seconds

What ever way the answers are both same.

Answer:

12am

Step-by-step explanation:

Answer:

12:00 am or midnight

Step-by-step explanation:

00 00 hrs in 12-hours clock is 12:00 am or 12:00 o'clock midnight.

Answer:

The given equation has two solutions

[tex]v = (-5.29, \: 5.29)[/tex]

Step-by-step explanation:

The given equation is

[tex]3v^2 - 84 = 0[/tex]

Let’s solve the equation

[tex]3v^2 - 84 = 0 \\\\3v^2 = 84 \\\\v^2 = \frac{84}{3} \\\\v^2 = 28 \\\\[/tex]

Take the square root on both sides

[tex]\sqrt{v^2} = \sqrt{28} \\\\v = \sqrt{28} \\\\v = \pm 5.29 \\\\[/tex]

So the equation has two solutions

[tex]v = (-5.29, \: 5.29)[/tex]

Also refer to the attached graph of the equation where you can verify that the equation has two solutions.

Note:

It is a very common mistake to consider only the positive value and not the negative value.

Consider the square root of 25

[tex]\sqrt{25} = \pm 5 \\\\Since \\\\5 \times 5 = 25 \\\\-5 \times -5 = 25 \\\\[/tex]

That is why we have two solutions for the given equation.

Answer:

1,050 workers

Step-by-step explanation:

25% = 0.25

0.25 × 1400 = 350

1400 - 350 = 1050

Hope this helps.

Answer:

41.1 units

Step-by-step explanation:

find the area of the triangle

1/2BH

1/2*8*4

4*4=16

find the area half of the circle

pi*R^2

3.14*4^2

3.14*16

50.24/2

^because it is a half circle you divide by 2

25.12+16=41.1

answer:

i believe they all are identical

Step-by-step explanation:

i used a website called desmos graphing calculator and typed each one out and this is what it looked like

Answer

h = 5m

Step-by-step explanation:

area of a parallelogram is b * h

base = 14 m

h = ?

Area = 70 m²

Area = b * h

70 = 14 * h

h = 70 / 14

h = 5 m

Answer:

Factoring is a useful skill in real life. Common applications include: dividing something into equal pieces, exchanging money, comparing prices, understanding time, and making calculations during travel.

Sorry if this is a little wordy, I can get carried away with this sort of thing

anyway, hope this helped and answered your question :)

Step-by-step explanation:

The equation is v-1 = -3

Here is the graph :

Answer:

prime factors in ascending order of 1729 is 7 , 13 , 19

relation between  consecutive prime factors is 6

Step-by-step explanation:

given data

number = 1729

solution

we get here factors of 1729

1729 = 7 × 13 × 19

so that required prime factors in ascending order of 1729 is 7 , 13 , 19

and

now we get relation between these prime factors is the difference between consecutive prime factors is

13 - 7 =  6

19 - 13 = 6

so relation between  consecutive prime factors is 6

Step-by-step explanation:

Prime factors of the number 1729 are 7,13,19

i.e. 1729 =7×13×19

The factors in ascending order are 7,13,19.

Clearly we can see that each consecutive prime factors​ have difference of 6.

13-7=6

19-13=6

Answer:

Option B

Step-by-step explanation:

We are given the following system of equations -

[tex]\begin{bmatrix}-5x+2y-2z=26\\ 3x+5y+z=-22\\ -3x-5y-2z=21\end{bmatrix}[/tex]

Now by Cramer's Rule, we would first write down the matrix of the coefficients , replacing each column with the answer column -

[tex]\begin{bmatrix}-5&2&-2\\ 3&5&1\\ -3&-5&-2\end{bmatrix}[/tex] ,

[tex]\begin{bmatrix}26\\ -22\\ 21\end{bmatrix}[/tex]

Replace each column of the coefficients shown at the top, with the answer column at the bottom respectively -

[tex]\begin{bmatrix}-5&2&26\\ 3&5&-22\\ -3&-5&21\end{bmatrix}[/tex]

Now solve through Cramer's Rule -

x = Dx / D = - 6,

y = Dy / D = - 1,

z = Dz / D = 1

Solution = ( - 6, - 1, 1 ) = Option B

-5 x + 2 y - 2 z = 263 x + 5 y + z = -22 - 3 x - 5 y - 2 z = 21

Answer is x=-6,\:z=1,\:y=-1

Answer:

  $2.67 million

Step-by-step explanation:

Average price per slot is found by dividing total price by total slots:

  ($136 million)/(51 slots) ≈ $2.67 million/slot

The mean price per ad slot was $2.67 million.

Answer:

D -price of car wash keeps getting higher

Answer: The price of a car wash keeps getting higher

Step-by-step explanation:

Answer:

Step-by-step explanation:

8P3=8*7*6=336

Answer: 12600

Step-by-step explanation:

We are given the function that f(x) = 12000 * 1.05x

the x in f(x) is the amount of years that passed in the city of Peachwood, and the f(x) is the total population of Peachwood

These are two key elements in this function,

Therefore after 1 year the equation would be f(1) = 12000*1.05(1)

or f(1) = 12600

Answer:

The answer to this equation is 3 5/6

Step-by-step explanation:

in order to solve this problem, we must first turn these fractions into improper fractions. We can do this by multiplying the base number with the denominator and adding the numerator to that number.

6 1/2 = 13/2

2 2/3 = 8/3

Now, set up your equation.

13/2 - 8/3

Change the denominators to the same number so it will be easier to subtract.

39/6 - 16/6

Now subtract.

23/6 = 3 5/6

Answer:

3 5/6

Step-by-step explanation:

6 1/2 - 2 2/3 = 13/2 - 8/3

(39 - 16)/6 = 23/6 = 3 5/6

Answer:

1/5

Step-by-step explanation:

The number 5 or greater than 4 is 5.

1 number out of 5 total parts.

= 1/5

P(5 or greater than 4) = 1/5

Answer:

  x = 2.4

Step-by-step explanation:

We assume you intend ...

  [tex]\sqrt{x^2+49}=x+5\\\\x^2+49=x^2+10x+25\qquad\text{square both sides}\\\\24=10x\qquad\text{subtract $x^2+25$}\\\\\boxed{2.4=x}\qquad\text{divide by 10}[/tex]

Answer:

H=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

S=4lw+2wh

Put S as 136, l as 6, w as 4, and solve for h.

136 = 4(6)(4)+2(4)H

136 = 8h + 96

-8h = 96 - 136

-8h = -40

h = -40/-8

h = 5

Answer:

38500lbs

Step-by-step explanation:

2000 lbs is one tone

if we have 19.25 tons, we need to multiply 19.25x2000

The answer is 38500 lb

Answer:

38,500 pounds

Step-by-step explanation:

Every ton is 2,000 pounds.

We want to find out how many pounds are in 19.25 tons.

Set up a proportion.

pounds/tons=pounds/tons

2,000 pounds/ 1 ton= x pounds / 19.25 tons

2,000/1= x  /19.25

x is being divided by 19.25. The inverse of division is multiplication. Multiply both sides by 19.25.

19.25*2,000/1= x/19.25 *19.25

19.25*2000=x

38,500=x

There are 38,500 pounds in 19.25 tons.

Answer:

https://brainly.com/question/8847227

Step-by-step explanation:

Answer:

20 Pizza

Step-by-step explanation:

Let the number of vegetable pizza be x

Given that

Manuel ordered four times as many cheese pizzas as vegetable pizzas

the number of cheese pizza = 4x

1. no of slice in 1 vegetable pizza pie = 6

no of slice in x vegetable pizza pie = 6x

2. no of slice in 1 cheese pizza pie = 8

no of slice in 4x cheese pizza pie = 8*4x = 32x

Total no of slice for x vegetable pizza and 4x cheese pizza = 6x+32x = 38x

Given that

total no. of 152 slices, therefore

38x = 152

=> x = 152/38 = 4

Thus, no. of vegetable pizza ordered = 4

no. of cheese pizza ordered = 4x = 4*$ = 16

Total no of pizza ordered = 16+4 = 20 (answer)

Answer:

B

Step-by-step explanation:

Answer:

If we have a growing exponential relation, we can write it as:

f(x) = A*r^x

Where A is the initial amount, r is the rate of growth, in this case, r > 1 (because is a growing exponential relation)

Now, the "slope" of the graph in x, is equal to the derivate of f(x) in that point, and we have:

f'(x) = A*(r^x)*ln(r)

Now, remember that r > 1, then ln(r) > 0.

then, f'(x) is a growing function as x grows, and f'(x) grows exponentially, this means that the slope of the graph also grows exponentially as x grows.

Answer:

pls format

Step-by-step explanation:

Answer:

2 hours and 24 minutes

Step-by-step explanation:

2 hours at 60 km/h means you have travelled 2*60=120 km

120 km at 50 km/h takes 120/50 = 2.4 hours

2.4 hours is 2 hours and 0.4*60 = 24 minutes.

Answer:

Step-by-step explanation:

We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'

Where p' = 14/100= 0.14 (no of left handed sample promotion)

q' = 1-p' = 1-0.14= 0.86

Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326

Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)

= -2.186√0.00325

= -2.186*0.057

= 12.46%

Using p' + z alpha √(p'q'/n)

0.14+2.326√(0.14*0.86/100)

= 0.466*0.057

= 26.5%

Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

Answer:

V lies in the exterior of <STU.

Step-by-step explanation:

V lies in the exterior of <STU.