n a recent survey, 55 out of 125 adults stated that they slept late on Saturday mornings. What percent of adults surveyed slept late on Saturday mornings?

Answer:

7/26

Step-by-step explanation:

First, find the probability of pulling out a big marble.

Since there are 7 big marbles, and 26 in total, the probability is 7/26

Now, find the probability of pulling out a small marble after the replacement.

There are 6 small marbles and 26 in total, so the probability is 6/26. This can be simplified by dividing each side by 2. This will get you 3/13

To find the probability of both of these happening, multiply the probabilities by each other:

(7/26) x (3/13)

= 7/26

So, the probability is 7/26

Answer:

translation

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Evaluate log64 1/16. Write an equation in logarithmic form. log64 1/16 = x. Convert the equation to exponential form 1/16 = 64

Answer:

7m-7m=8n+8n

m=16n

Step-by-step explanation: U must first link the like terms so in order to do so u must bring over the 7m, now before u brought over the 7m it was a positive 7m now that your bring it over it turns negeitive and the same goes for the term 8n when u carry that term over it turns positive now dont let the subtraction sign foul u it still negative as long as its beside the term it is going to be negative guys dont  forget that, now on to the next step after u cross over and change signs u start to work out now that the like terms are equal u dont  need to worry about them because its given u the go ahead to workout so your main focus is on the subtracting the 7's which  is 0 and leaves u with m u dont  have to put them but i dont recommend it the u start on the next side u and the 8's which is 16 and u put bk the n u have to put bk the terms its important and thats  how u get m=16n.

Answer:

AC bisects BCD

Reason: The angles in the resulting triangles are congruent.

Answer:

0.375

that's what comes up for me

Answer:

0.375 or 3/8

Step-by-step explanation:

Calculator or

12/32 can be simplified by dividing both the numerator and denomenator by 4. Or with long division you can get 0.375.

Answer:

The equation is;

y = 1/3x

Step-by-step explanation:

The equation of a linear model is given as;

y = mx + b

m is the slope while b is the y intercept

As we can see, the y intercept is the origin and that means b is zero

To get the value of m, the slope, we have to use the slope equation

We simply select any two points on the line

We have the points as (6,2) and (15,5)

The equation of the slope is:

m = (y2-y1)/(x2-x1)

(x1,y1) = (6,2)

(x2,y2) = (15,5)

m = (5-2)/(15-6) = 3/9 = 1/3

So the equation will be;

y = 1/3x

Answer:

-3 + 2 i

Step-by-step explanation:

Slide curve together,if it look like a happy face

Happy = positive/a>1

Slide curve together, if it look like a sad face

Sad = negative/a<1

Answer:Yes

Step-by-step explanation:

Answer:

The first one is a the second one is b

Step-by-step explanation:

Answer:

-24 = -0.6k

k=-24/-0.6

k=40

Let me know if this helps!

Answer:

one, x = 7

Step-by-step explanation:

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

reduce:

7x - 14 + 5 = 6x - 3 + 1

x = 7

Answer:

that doesn't make sense.

Step-by-step explanation:

Answer:

The correct answer is A

Step-by-step explanation:

Answer:

[tex]\boxed{\text{\sf \Large 3}}[/tex]

Step-by-step explanation:

Angles in a triangle add up to 180°

[tex]180-(24x+3+25x)[/tex]

[tex]-49x+177[/tex]

Angles on a straight line add up to 180°

[tex]-49x+177+150=180[/tex]

[tex]x=3[/tex]

Answer:

Step-by-step explanation:

The systems of linear equations that have no solution are:

a)

x + y + z = 1,100

x - 2y - z = -500

2x + 3y + 2z = 2,600

b)

x + y + z = 2,400

2x - 2y + 2z = 700

x + 3y + z = 2,400

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To determine which systems of linear equations have no solution, we need to check whether the system is inconsistent, i.e., there are no values of x, y, and z that satisfy all the equations simultaneously.

One way to check this is to use row reduction to put the system into row echelon form or reduced row echelon form and see if we obtain any contradictory equations.

Another way is to use determinants, but we'll use row reduction here.

a)

| 1 1 1 | 1,100 |

| 1 -2 -1 | -500 |

| 2 3 2 | 2,600 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,100 |

| 0 -3 -2 | -1,600 |

| 0 1 -1 | -1,800 |

R2 = -1/3 R2 and R3 = R3 + R2:

| 1 1 1 | 1,100 |

| 0 1/3 2/3 | 533.33|

| 0 0 1/3 | -933.33|

Now, we can solve for z in the last equation:

z = -2800

Substituting into the second equation gives:

y = 2666.67

But substituting into the first equation gives:

x = -566.67

So, this system has no solution.

b)

| 1 1 1 | 1,500 |

| 1 -1 -1 | -500 |

| 2 1 1 | 2,000 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,500 |

| 0 -2 -2 | -2,000 |

| 0 -1 -1 | -1,000 |

R2 = -1/2 R2 and R3 = R3 - 1/2 R2:

| 1 1 1 | 1,500 |

| 0 1 1 | 1,000 |

| 0 0 -1 | -500 |

Now, we can solve for z in the last equation:

z = 500

Substituting into the second equation gives:

y = 500

But substituting into the first equation gives:

x = 500

So, this system has a unique solution.

c)

| 1 1 1 | 1,400 |

| 1 -2 -1 | -500 |

| 2 2 2 | 2,700 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,400 |

| 0 -3 -2 | -900 |

| 0 0 0 | 0 |

The last row of the augmented matrix corresponds to the equation 0x + 0y + 0z = 0, which is always true.

Therefore, this equation is not contradictory and doesn't add any new information to the system.

We can eliminate it and rewrite the system as:

| 1 1 1 | 1,400 |

| 0 -3 -2 | -900 |

R2 = -1/3 R2:

| 1 1 1 | 1,400 |

| 0 1 2/3 | 300 |

R1 = R1 - R2:

| 1 0 1/3 | 1,100 |

| 0 1 2/3 | 300 |

Now, we can solve for z in the first equation:

z = 3,300

Substituting into the second equation gives:

y = -1,200

But substituting into the first equation gives:

x = -2,200

So, this system has a unique solution.

d)

| 1 1 1 | 1,400 |

|-0.5 -0.5 -0.5 | -900 |

| 2 3 2 | 3,000 |

R2 = 2R1 + R2 and R3 = -4R1 + R3:

| 1 1 1 | 1,400 |

| 0 1/2 1/2 | -100 |

| 0 -1 -2 | -3,600 |

R3 = -2R2 + R3:

| 1 1 1 | 1,400 |

| 0 1/2 1/2 | -100 |

| 0 0 -3 | -3,400 |

Now, we can solve for z in the last equation:

z = 1,133.33

Substituting into the second equation gives:

y = -1,066.67

But substituting into the first equation gives:

x = 2,333.33

So, this system has a unique solution.

e)

| 1 1 1 | 1,900 |

| 1 -1 -2 | -2,000 |

| 2 2 1 | 1,100 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,900 |

| 0 -2 -3 | -3,900 |

| 0 0 -3 | -4,100 |

Now, we can solve for z in the last equation:

z = 1,366.67

Substituting into the second equation gives:

y = -1,033.33

But substituting into the first equation gives:

x = 1,667

So, this system has a unique solution.

f)

| 1 1 1 | 2,400 |

| 2 -2 2 | 700 |

| 1 3 1 | 2,400 |

R2 = R2 - 2R1 and R3 = R3 - R1:

| 1 1 1 | 2,400 |

| 0 -4 0 | -1,100 |

| 0 2 0 | 1,000 |

R2 = -1/4 R2 and R3 = 1/2 R3:

| 1 1 1 | 2,400 |

| 0 1 0 | 275 |

| 0 1 0 | 500 |

R3 = R3 - R2:

| 1 1 1 | 2,400 |

| 0 1 0 | 275 |

| 0 0 0 | 225 |

The last equation shows that 0x + 0y + 0z = 225, which is impossible. Therefore, this system has no solution.

Thus,

The systems of linear equations that have no solution are:

a)

x + y + z = 1,100

x - 2y - z = -500

2x + 3y + 2z = 2,600

b)

x + y + z = 2,400

2x - 2y + 2z = 700

x + 3y + z = 2,400

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ7

800=200×4

the distance is 800 miles and the time is 4 hours

and the situation that are given is d=200t

Distance =800 miles

Time=4 hours

Given Situation=200

800=200•4

Given:

Consider the equation

[tex]2+\dfrac{2x}{5}=-10[/tex]

To find:

The steps and solution for the given equation.

Solution:

We have,

[tex]2+\dfrac{2x}{5}=-10[/tex]

Step 1: Using subtraction property of equality, subtract 2 from both sides.

[tex]2+\dfrac{2x}{5}-2=-10-2[/tex]

[tex]\dfrac{2x}{5}=-12[/tex]

Step 2: Using multiplication property of equality, multiply both sides by 5.

[tex]\dfrac{2x}{5}\times 5=-12\times 5[/tex]

[tex]2x=-60[/tex]

Step 3: Using division property of equality, divide both sides by 2.

[tex]\dfrac{2x}{2}=\dfrac{-60}{2}[/tex]

[tex]x=-30[/tex]

Therefore, the solution of the given equation is [tex]x=-30[/tex].

Answer:

No

Step-by-step explanation:

5 to the power of -1 is 0.2 while 5 to the power of 1/2 is 2.5

Answer:

95 in.²

Step-by-step explanation:

Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle

Area of triangle = ½*base*height

base = 5 in.

height = 7 in.

Area of triangle = ½*5*7 = 17.5 in.²

Area of rectangle = Length*width = 5*5 = 25 in.²

Plug in the values

Total surface area of the rectangular pyramid = 4(17.5) + 25

= 95 in.²

Answer: B jus times two 8s

Answer:

-2

Step-by-step explanation:

Its in the negative zone and its saying that it increased by one, so -2

Answer:

1×

Step-by-step explanation:

#:;:,dgvgukyujj hhyfh

Answer:

So you have a scale

you multiply: 8×(3/4)

And your x= 6