what is the probability of the two numbers being the same if two regular dice are thrown?
​

Answer:

Step-by-step explanation:

Given function h(x).

Shift left:

Shift down:

Given function is,

→ h(x)

As we shift left,

→ h(x) = h(x + 3)

As we shift down,

→ h(x + 3) = h(x+3)-5

Then the equation is,

→ h(x+3)-5

It is correct answer.

9514 1404 393

Answer:

  (t, u, w) = (1, -2, -2)

Step-by-step explanation:

A graphing calculator makes short work of this, giving the solution as ...

  (t, u, w) = (1, -2, -2)

__

There are many ways to solve this "by hand." Here's one of them.

Add the first and third equations. Their sum is ...

  -3t +4w = -11 . . . . . [eq4]

Add this to twice the second equation. That sum is ...

  (-3t +4w) +2(-4t -2w) = (-11) +2(0)

  -11t = -11

  t = 1

Substituting this into the second equation gives ...

  -4(1) -2w = 0

  w +2 = 0 . . . . divide by -2

  w = -2 . . . . add -2

Substituting for t in the third equation lets us find u.

  2(1) -2u = 6

  -1 +u = -3 . . . . . divide by -2

  u = -2 . . . . add 1

The solution is (t, u, w) = (1, -2, -2).

Answer:

The number of operators is 22 and the number of laborers is 9

Step-by-step explanation:

This is a 2 line equation system

I'll call the laborers "L" and the equipment operators "E"

The first line of the system is pretty much telling me that the number of laborers plus the number of operators is 31:

L + E = 31

Now we need to calculate the money:

Since we know that laborers are paid $89 per day we're gonna multiply them by that. Same thing with the operator, but the value is now $123

89L + 123E = 3507

Our two line system is like this:

L + E = 31

89L + 123E = 3507

We need either L or E to be the same in both of the equations so that when I subtract one from another I can find the value of one of the variables

I'll choose L cause it's the lower number, so I'll multiply the upper equation:

L+E=31 === *89 ====> 89L + 89E = 2.759

Now we have these equations:

89L + 89E = 2.759

89L + 123E = 3507

Now I'm gonna subtract the lower equation from the upper one:

89L - 89L + 123E - 89E = 3507 - 2759

Since L is now zero it disappears, and by making the other calculations we have:

34E = 748

E = 22

Since E = 22, we can use the value in our first equation:

E+L=31 ===> 22+L=31 ===> L=9

Got it! The number of operators is 22 and the number of laborers is 9.

If you wanna double check this you can calculate the amount of money they're paid, which should add up to $3507:

22 operators * $123 = $2706

9 laborers * $89 = $801

2706+801 = $3507

We're good

If this helped you at all, would it be too much asking for brainliest?

I would really appreciate it

Have a great one

Answer:

30° and -1/2. This is pretty easy to do on a piece of paper but I recommend googling "unit circle" and clicking images, it tells you everything you need to know.

Step-by-step explanation:

Answer:

0.534375

45328

36763

-6

-78

The values of x and y that satisfy the graphs are:

(-1, 0), and (-5, 0).

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

We can start by simplifying the quadratic equation:

y = (x + 3)² – 4

y = x² + 6x + 9 - 4

y = x² + 6x + 5

Now, we can use various methods to find values of x and y that satisfy this equation. Here are five possible values:

If we substitute x = -1, we get:

y = (-1)² + 6(-1) + 5

y = 0

So, one solution is (-1, 0).

If we substitute x = 0, we get:

y = 0² + 6(0) + 5

y = 5

So, another solution is (0, 5).

If we substitute x = -5, we get:

y = (-5)² + 6(-5) + 5

y = 0

So, another solution is (-5, 0).

To find rational solutions, we can factor in the quadratic expression:

y = x² + 6x + 5

y = (x + 1)(x + 5)

So, the solutions are x = -1 and x = -5. Substituting these values into the equation, we get:

For x = -1, y = (-1)² + 6(-1) + 5 = 0

For x = -5, y = (-5)² + 6(-5) + 5 = 0

So, the solutions are (-1, 0) and (-5, 0).

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ7

Answer:

[tex]P(At\ least\ one\ girl) = 0.875[/tex]

Step-by-step explanation:

Given

[tex]n = 3[/tex]

[tex]B \to boys[/tex]

[tex]G \to girls[/tex]

[tex]P(G) = P(B) = 0.5[/tex] --- equal probability

See comment for complete question

Required:

[tex]P(At\ least\ one\ girl)[/tex]

To do this, we make use of complement rule:

[tex]P(At\ least\ one\ girl) = 1 - P(No\ girl)[/tex]

The event that there is no girl out of the 3 children is: B B B

And the probability is:

[tex]P(No\ Girl) = P(B) * P(B) * P(B)[/tex]

[tex]P(No\ Girl) = 0.5*0.5*0.5[/tex]

[tex]P(No\ Girl) = 0.125[/tex]

So:

[tex]P(At\ least\ one\ girl) = 1 - P(No\ girl)[/tex]

[tex]P(At\ least\ one\ girl) = 1 - 0.125[/tex]

[tex]P(At\ least\ one\ girl) = 0.875[/tex]

Answer:

a. data from the sample is used to estimate the population parameter.

Step-by-step explanation:

Given

Point estimation

Required

The true statement

Point estimation literally means taking data from the sample to estimate the corresponding population parameter

For instance:

Sample mean estimates population mean

Sample standard deviation estimates population standard deviation

Sample variance estimates population variance

Hence;

(a) is correct

Answer:

can you be more specific?

Step-by-step explanation:

Answer:

standard deviation

Step-by-step explanation:

Answer:

hlo how are u?whats ur day is going

Answer:

Step-by-step explanation:

it is a quadratic function.

Answer:

A

Step-by-step explanation:

From f(x) to k(x), the graphed parabola is stretched and wider.

Answer: Choice B) Vertically compressed by a factor of 8.

Explanation:

Consider a point like (8,64) which is on f(x).

If we plug in x = 8 into k(x), then we would get k(8) = 8. The old output y = 64 is now y = 8. This is an example of a vertical compression of 8. It's 8 times smaller in the vertical direction compared to what it used to be. This is because the k(x) outputs are 1/8 those of the f(x) outputs.

Effectively we have k(x) = (1/8)*f(x).

Another example would be x = 16 leading to y = 256 on f(x). For k(x), we have x = 16 lead to y = 32

Refer to the graph below.

Answer:

45.712

Step-by-step explanation:

We need to find the Zscore of the area of 15 percent of the distribution ; using a Z table or calculator ;

Zscore of 15% of the distribution is : - 1.036

Using the Zscore formula :

Zscore = (x - mean) / standard deviation

Where, x = score

-1.036 = (x - 54) / 8

Cross multiply

-1.036 * 8 = x - 54

-1.288 = x - 54

x = - 8.288 + 54

x = 45.712

Answer:

265

Step-by-step explanation:

9514 1404 393

Answer:

  265

Step-by-step explanation:

Let t represent the number of tiles needed. Then the area covered by those t tiles will be ...

  area = t·0.34 ft²

We want that area to be 90 ft², so we can solve this equation for t:

  90 ft² = t·(0.34 ft²)

  90 ft²/(0.34 ft²) = t ≈ 264.71

About 265 tiles are needed to cover 90 ft².

Answer:

467 muffins

Step-by-step explanation:

143 + 211 + 113 = 467

Answer:

The original dimensions of the park are:

(23/2) yards by 7 yards.

Step-by-step explanation:

Suppose that you have a given dimension X

if you want to reduce that dimension by a scale factor k, such that:

0 < k < 1

The reduced dimension is just:

X' = k*X

Now let's solve the problem:

We know that the dimensions on the blueprint are:

(23/147)yd by (3/14)yd

And the original dimensions are:

A yd by B yd

We know that, to get the blueprint dimensions, we reduced the original dimensions by a factor of 2/147

Then we just have that:

(2/147)*A = 23/147

(2/147)*B = 3/14

Now we just can solve these two equations for A and B

A = (23/147)*(147/2) = 23/2

B = (3/14)*(2/147) = (3/7)*(1/147) = 49/7 = 7

Then the original dimensions of the park are:

(23/2) yards by 7 yards.

Answer

a) chart

Step-by-step explanation:

a) chart best represents the following information about student results from a class assignment

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

Explanation:

The number 8 from "8 year old boy" can be completely ignored. In my opinion, this is an (un)intentional distraction on your teacher's part.

There are 6 toys to arrange. The order is important.

We have this countdown: 6,5,4,3,2,1

Those values multiply out to 6*5*4*3*2*1 = 720

There are 720 ways to arrange the 6 different toys. Order matters.

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

An alternative approach is to use the nPr permutation formula with n = 6 and r = 6. We use a permutation because order matters.

The nPr formula is

[tex]_{n} P _{r} = \frac{n!}{(n-r)!}\\\\[/tex]

where the exclamation marks indicate factorial. For example, 6! = 6*5*4*3*2*1 = 720.

Answer:

option B is correct

interior angle of given polygon =156

exterior angle of polygon=180 - 156 =24

as we know that sum of exterior angle of any polygon is 360 degree

so number of sides of regular polygon=360/24=15

Answer:

option B. 15

Step-by-step explanation:

Sum of interior angles of a polygon with n sides  =  ( n - 2 ) x 180°

Therefore each interior angle,

                                  [tex]\frac{n - 2}{n} \times 180^\circ[/tex]

Given the interior angles = 156°

That is ,

                         [tex](\frac{n-2}{n}) \times 180 = 156\\\\\frac{n-2}{n} = \frac{156}{180}\\\\1- \frac{2}{n} = \frac{156}{180}\\\\1 - \frac{156}{180} = \frac{2}{n}\\\\\frac{180-156}{180} = \frac{2}{n}\\\\\frac{24}{180} = \frac{2}{n}\\\\24 \times n = 2 \times 180\\\\n = \frac{2 \times 180}{24} =\frac{180}{12} = 15[/tex]

The correct answer is the fourth one, as it pinpoints both dots perfectly

Answer:

D. is the correct option

Discriminant is greater than zero, so the roots are unequal and real.

Step-by-step explanation:

We use discriminant to find the nature of the roots

discriminant formula is, b^2 - 4ac

13^2 (-4) × 4 × 6 = 169-96

73 >0

if discriminant greater than 0 that means the roots are real and unequal.

Answer:

the last one, y=x-6

Step-by-step explanation:

it is the only answer with an x-intercept of 6. you did not provide the line, but I'm assuming it is y=-x.

Answer:

The volume is increasing at a rate of 27093 cubic inches per second.

Step-by-step explanation:

Volume of a cone:

THe volume of a cone, with radius r and height h, is given by:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

In this question:

We have to differentiate implictly is function of t, so the three variables, V, r and h, are differenciated. So

[tex]\frac{dV}{dt} = \frac{\pi r^2}{3}\frac{dh}{dt} + \frac{2\pi rh}{3}\frac{dr}{dt}[/tex]

The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.4 in/s.

This means that [tex]\frac{dr}{dt} = 1.4, \frac{dh}{dt} = -2.4[/tex]

Radius is 140 in. and the height is 186 in.

This means that [tex]r = 140, h = 186[/tex]

At what rate is the volume of the cone changing?

[tex]\frac{dV}{dt} = \frac{\pi r^2}{3}\frac{dh}{dt} + \frac{2\pi rh}{3}\frac{dr}{dt}[/tex]

[tex]\frac{dV}{dt} = \frac{\pi (140)^2}{3}(-2.4) + \frac{2\pi 140*186}{3}1.4[/tex]

[tex]\frac{dV}{dt} = -0.8\pi(140)^2 + 62*2\pi*1.4*140[/tex]

[tex]\frac{dV}{dt} = 27093[/tex]

Positive, so increasing.

The volume is increasing at a rate of 27093 cubic inches per second.

Answer:

The first graph

Step-by-step explanation:

Given

[tex]y = -(2)^x - 1[/tex]

Required

The graph

Set the exponent part to get the minimum/maximum of the graph

So, we have:

[tex]y = 0 - 1[/tex]

[tex]y = - 1[/tex]

The above implies that the curve passes through the y-axis at [tex]y = - 1[/tex].

By comparing the two graphs, we can conclude that the first represents [tex]y = -(2)^x - 1[/tex] because it passes through [tex]y = - 1[/tex]

a hour,.....................

Answer:

Kendriya z-score keva product

Answer:

ya the equation divides y as a function of x