Suppose that you pick a bit string from the set of all bit strings of length ten. Find the probability that a) the bit string has exactly two 1s; b) the bit string begins and ends with 0; c) the bit string has the sum of its digits equal to seven; d) the bit string has more 0s than 1s; e) the bit string has exactly two 1s, given that the string begins with a 1.

Answer:

[tex]YZ = 48[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

[tex]XZ = 60[/tex]

Required

Find YZ

From the attachment, AB is parallel and equal to YC;

This implies that

[tex]AB = YC = 24[/tex]

Given that C is the midpoint of YZ;

This implies that

[tex]YC = CZ = 24[/tex] and [tex]YZ = YC + CZ[/tex]

Substitute values for YC and CZ

[tex]YZ = 24 + 24[/tex]

[tex]YZ = 48[/tex]

Answer:

48

Step-by-step explanation:

Answer:

As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.

Step-by-step explanation:

We will calculate speed of both the person in miles per hour and then compare the speeds.

Speed = distance/time

_____________________________________

For Heidi

Distance = 1/3 miles

time = 1/4 hour

speed = 1/3  ÷ 1/4 = 4/3 miles per hour = 1.33 miles per hour

_______________________________________

For Louis

Distance = 2/3 miles   (here it was given 23 miles but it appears to be 2/3 of a miles )

time = 1/2 hour

speed = 2/3  ÷ 1/2 = 4/3 miles per hour = 1.33 miles per hour

______________________________________________________

As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.

Answer:

50 square units

Step-by-step explanation:

When graphed you have a width  of 5 and a length of 10 so multiply them together to get 50

Answer:

Step-by-step explanation:

I have this question too. I think it is 45. sorry if its incorrect

Answer:

Compound interest is best defined as:

Earning interest on interest.

Compound interest is earning interest on interest.

Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal. Further, the interest calculation for the next time period is on the accumulated principal value. Compound interest is the new method of calculation of interest used for all financial and business transactions across the world. The power of compounding can easily be understood, when we observe the compound interest values accumulated across successive time periods.

Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals

The compound interest is calculated at regular intervals like annually(yearly), semi-annually, quarterly, monthly, etc; It is like, re-investing the interest income from an investment makes the money grow faster over time! It is exactly what the compound interest does to the money. Banks or any financial organization calculate the amount based on compound interest only.

as, we know that Compound interest is an interest accumulated on the principal and interest together over a given time period.

So, we can also write Earning interest on interest.

learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ2

Answer:

18

Step-by-step explanation:

cm  15   -> 14

hours  6   ->?

cm 15  x3->45

hours 6 x3->18

the 45 cm long candle is 3 times as long ,so it would burn for 3 times as long A 45cm long candle would burn for 18 hours

Answer:

Marcelo acertou 22 questões.

Step-by-step explanation:

Vamos representar

Questões que acerta = a

Questões que erra = b

a + b = 30 .......... Equação 1

a = 30 - b

o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.

Matematicamente:

3 × a - 2 × b = 50

3a - 2b = 50 pontos ............. Equação 2

Substitua 30 - b por a na Equação 2

3 (30 - b) - 2b = 50

90 - 3b - 2b = 50

90 - 5b = 50

Colete termos semelhantes

90 - 50 = 5b

5b = 40

b = 40/5

b = 8

Questões que erra = b

Marcelo, portanto, perdeu 8 questões.

Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1

a + b = 30 .......... Equação 1

a + 8 = 30

a = 30 - 8

a = 22 questões.

Portanto, ele acertou 22 questões.

Answer:  [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Step-by-step explanation:

When you subtract b/2a from both sides, you end up with the Quadratic Formula.

Answer:

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

[tex]\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}[/tex]

Subtract [tex]\frac{b}{2a}[/tex] from both sides.

[tex]\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}[/tex]

[tex]\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}[/tex]

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

This is a quadratic formula.

Answer:

After 24 hours, there will be 4191 bacteria present in the culture.

Step-by-step explanation:

Initial number of bacteria = 300

amount in 10 hrs = 3 x 300 = 900

time taken = 10 hours

Bacterial growth is exponential, ans so we use the equation

N = N'[tex]e^{kt}[/tex]

where N is the final amount

N' is the initial amount

k is the growth constant

t is the time

For this first case, we have

900 = 300 x [tex]e^{k*10}[/tex]

3 = [tex]e^{10k}[/tex]

take natural log of both sides, we'll have

ln 3 = ln [tex]e^{10k}[/tex]

1.0986 = 10k

k = 1.0986/10 = 0.10986

using the growth constant above, we calculate for a day which is 24 hours

N = N'[tex]e^{kt}[/tex]

N = 300 x [tex]e^{0.10986*24}[/tex]

N = 300 x [tex]e^{2.637}[/tex]

N = 300 x 13.97

N = 4191 bacteria

Answer:

The answer is

y = 2x -3 and

y = -2x - 3

its y = 2x -3

y = -2x - 3

The sides are  

6  inches,  8 inches and  10  inches

I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'

Then the shortest side is  

6

and the longest side is  

10

Answer: 31 students

Step-by-step explanation:

Because the class has 93 students, and there are a total of 124(70+54) classes taken, 124-93 students, or 31 students taking both classes.

Hope it helps <3

Answer:

0.872665

Step-by-step explanation:

Answer:

1. f(-1) = -6

2. f(0) = -5

3. f(1) = -4

4. f(2) = -3

5. f(5) = 0

6. f(8) = 3

Step-by-step explanation:

1. f(-1)=-1-5=6

substitute the x value into the equation.

2. f(0)=0-5=-5

3. f(1)=1-5=-4

4.f(2)=2-5=-3

5. f(5)=5-5=0

6. f(8)=8-5=3

Answer:

1:2

Step-by-step explanation:

The area of ΔFED must be 1/4th of the entire area and so must the area of ΔBCD because B and F are the midpoints. Therefore, the area of ABDF is 1 - 1/4 - 1/4 = 1/2 of ACDE's are so the ratio is 1:2.

Answer:

yes, the base is 4

Step-by-step explanation:

Answer:

The loudness of the dinner conversation is 40 dB

Step-by-step explanation:

Loudness in dB = 10[tex]Log_{10}[/tex] [tex](\frac{I}{I_{o} })[/tex]

where [tex]I_{0}[/tex] is the least intense sound a human can hear = [tex]10^{-12}[/tex] W/m^2

For a dinner conversation with sound intensity of [tex]I[/tex] = [tex]10^{-7}[/tex] W/m^2

Loudness = 10[tex]Log_{10}[/tex] [tex](\frac{10^{-7} }{10^{-12} })[/tex] = 10[tex]Log_{10}[/tex] [tex]( 10^{4} )[/tex] = 40 dB

Answer:

50 Db

Step-by-step explanation:

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

Work Shown:

y = x^2 + 8x + 3 is the same as y = 1x^2 + 8x + 3

It is in the form y = ax^2 + bx + c

a = 1

b = 8

c = 3

Plug the values of a and b into the formula below to get the x coordinate of the vertex (h,k)

h = -b/(2a)

h = -8/(2*1)

h = -8/2

h = -4

Plug this into the original equation to get its paired y value. This will get us the value of k

y = x^2 + 8x + 3

y = (-4)^2 + 8(-4) + 3

y = 16 - 32 + 3

y = -13

This is the smallest y output possible. Therefore it is the minimum. The minimum occurs at the vertex (h,k) = (-4, -13)

We know we are dealing with a minimum because a = 1 is positive forming a parabola that opens upward. If a < 0, then the parabola would open downward to yield a maximum.

Answer:

C 375 this your answer

Hope it will help

Answer:

B) 592

Step-by-step explanation:

483, 759, 264, 837,?

Erase commas.

483759264837

Separate into two-digit groups:

48, 37, 59, 26, 48, 37

There is a common pattern:

48 - 11 = 37 + 22 = 59 - 33 = 26 + 22 = 48 - 11 = 37

The next term:

37 + 22 = 59 (add 22)

59 - 33 = 26 (subtract 33)

5926

Answer:

39 investors contributed $6,000, and 21 investors contributed $12,000.

Step-by-step explanation:

Let's say that x investors contributed $6,000, and y investors contributed $12,000.

x + y = 60

6,000x + 12,000y = 486,000

x + 2y = 81

x + y = 60

y = 21

x + 21 = 60

x = 39

So, 39 investors contributed $6,000, and 21 investors contributed $12,000.

Hope this helps!

Answer:

x=5/a-b+3

Step-by-step explanation: Since we don't know a or b, we'll leave them as is. Shift all terms with x to the left and keep 5 on the right (ax+3x-bx)=5. x is a factor of that, so you'd change it to x(a-b+3)=5. Then, divide by (a-b+3). If a and b had set values, then just add all the x values and solve.

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Lets do this step by step.

Simplify 5 by ( b - x)

Apply the distributive property.

[tex]5b + 5 ( -x ) = 2b + ax[/tex]

Multiply -1 by 5.

[tex]5b - 5x = 2b + ax[/tex]

Subtract ax from both sides of the equation.

[tex]5b - 5x - ax = 2b[/tex]

Move all terms not containing x  to the right side of the equation.

Subtract 5b from both sides of the equation.

[tex]-5x - ax = -3b[/tex]

Subtract 5b from 3b.

[tex]-5x - ax = -3b[/tex]

Factor x out of -5x - ax .

[tex]x ( -5 - a ) = -3b[/tex]

Divide each term by = -3b.

Divide each term in x ( -5 - a) = -3b by - 5 -a.

[tex]\frac{x( -5 - a)}{-5 - a} = \frac{-3b}{-5 - a}[/tex]

Cancel the common factor of -5 - a.

[tex]x = \frac{-3b}{-5 - a}[/tex]

Simplify [tex]\frac{-3b}{-5 - a}[/tex]

[tex]x = \frac{3b}{5 + a}[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer: 4n - 20

Step-by-step explanation: We can use the distributive property.

The distributive property tells us that if were given an expression

such as 4(n - 5), we can multiply the 4 by both the n and the -5.

So our answer is just 4n - 20.

Answer:

 x               y

1/4              0

13/4            3

 2             7/4

Step-by-step explanation:

To complete the table we just need to replace the value of x and get y as:

for x = 1/4

[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]

for x=13/4

[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]

for x=2

[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]

So, the complete table is:

x            y

1/4         0

13/4       3

2           7/4

Answer:

x = 3 and y = 2

Step-by-step explanation:

Start by multiplying the first equation by "-3" so we can cancel the term with denominator (x+y) when we combine:

[tex]\frac{(-3)\,5}{x+y} -\frac{(-3)\,2}{x-y} =(-3)(-1)\\\frac{-15}{x+y} +\frac{6}{x-y} =3[/tex]

which now added term by term to the second equation gives:

[tex]\frac{-15}{x+y} +\frac{6}{x-y} =3\\\frac{15}{x+y} +\frac{7}{x-y} =10\\ \\\frac{13}{x-y} =13[/tex]

Now we solve for x-y by cross multiplying:

[tex]\frac{13}{13}=x-y\\ x-y=1\\x=y+1[/tex]

Now we use this substitution for x  back in the first equation to solve for the unknown y:

[tex]\frac{5}{(y+1)+y} -\frac{2}{(y+1)-y} =-1\\\frac{5}{2y+1} -2=-1\\\frac{5}{2y+1}=1\\5=2y+1\\4=2y\\y=2[/tex]

and now that we know that y = 2, we use the substitution equation to solve for x:

[tex]x=y+1\\x=2+1\\x=3[/tex]

Answer:

x=4

Step-by-step explanation:

x²-16=0

x²=0+16

x²=16

x=√16

x=4

Answer:

11 bags

Step-by-step explanation:

725 jelly beans evenly into 29 plastic containers:

725/29=25  jelly beans in each plastic containers

275/25=11  Jim found eleven bags

Answer:

11 containers

Step-by-step explanation:

His mom evenly divided the jelly beans into containers. There are 725 jelly beans and 29 containers. To find how many jelly beans are in each container, divide 725 by 29.

725/29

25

There are 25 jelly beans in every container.

After the hunt, Jim had 275 jelly beans. There are 25 beans in each container. To find the number of containers, we can divide 275 by 25.

275/25

11

He found 11 containers.

Answer:

The center is ( 0,-11) and the radius is 3

Step-by-step explanation:

x^2 + (y + 11)^2 = 9.

The equation of a circle can be written in the form

(x-h)^2 + (y -k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-0)^2 + (y - - 11)^2 = 3^2

The center is ( 0,-11) and the radius is 3

Answer:

2: (0,-11) A: r=3

Step-by-step explanation:

the equation of a circle is given by the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

We are given:

[tex]x^2+(y+11)^2=9[/tex]

This is the same as saying:

[tex](x+0)^2+(y-(-11))^2=3^2[/tex]

In other words, the center is at (0,-11).

And the radius is r=3.

Answer:

b > 9

Step-by-step explanation:

6(b – 4) > 30

Divide each side by 6

6/6(b – 4) > 30/6

b-4 > 5

Add 4 to each side

b-4+4 > 5+4

b > 9

Answer:

[tex]\boxed{b > 9}[/tex]

Step-by-step explanation:

[tex]6(b-4) > 30[/tex]

Resolving Parenthesis

6b - 24 > 30

Adding 24 to both sides

6b > 30+24

6b > 54

Dividing both sides by 6

b > 9

Answer:

B

Step-by-step explanation:

You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.

Answer:

It decreases from 45° to 40°

Step-by-step explanation:

The secant angle GBJ is half the difference of the measure of its intercepted arcs, that is

∠ B = [tex]\frac{1}{2}[/tex] (CDF - GHJ) = [tex]\frac{1}{2}[/tex](130 - 40)° = [tex]\frac{1}{2}[/tex] × 90° = 45°

If arc GHJ is now 50°, then

∠ B = [tex]\frac{1}{2}[/tex](130 - 50)° = [tex]\frac{1}{2}[/tex] × 80° = 40°

That is ∠ B decreases from 45° to 40°