Need help ASAP, will mark brainliest if you can check my answer:

The value of the z test statistic will be 2.55.

The z test statistic is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z test statistics is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A sample of 25 provided a sample mean μ = 14 and a sample standard deviation σ = 4.32.

Then the value of the z test statistic will be

z = (x – μ) / σ

z = (25 - 14) / 4.32

z = 11 / 4.32

z = 2.546 ≈ 2.55

More about the z test statistic link is given below.

https://brainly.com/question/15016913

#SPJ1

Answer:

10

Step-by-step explanation:

There are ten zeros therefore in standard form it is 1 x 10 to the power of 10 or [tex]10_{12}[/tex]

Answer:

6.5 seconds

Step-by-step explanation:

Ok so the equation you gave is -16T^2 + 676 in the comments which is what I'll be using for this problem. The problem is really just asking you to find the zeroes of the equation excluding any negative solutions since that doesn't really represent anything in this context since T is time.

So the first step is to set the equation equal to 0

[tex]0 = -16t^2 + 676[/tex].

Subtract 676 from both equations.

[tex]-676 = -16t^2[/tex]

Divide both sides by -16

[tex]42.25 = t^2[/tex]

Take the square root of both sides

[tex]\pm6.5 = t[/tex]

Ignore the negative and take only the positive solution, since in this context it doesn't make much sense. So after 6.5 seconds the height is 0, meaning it hits the ground after 6.5 seconds.

Answer:

A. -5

Explanation:

For (3x + 15)/(6 - x) to be equal to zero. Set the equation to 0.

Doing so:

(3x + 15)/(6 - x) = 0

3x + 15 = 0(6 - x)

3x + 15 = 0

3x = -15

 x = -15/3

 x = -5

Therefore, the value of x is -5 to equal to zero.

Step-by-step explanation:

let's write this properly :

f(x) = x³

g(x) = (x - 7)³ + 9

this translation means that every point of f(x) is shifted up by 9 units (by the "+ 9" term), and shifted right by 7 units (the " x - 7" term means that for every x the original result of x-7 happens, so, 7 units "later" or more to the right than originally).

so, the original (0, 0) point corresponds to (7, 9).

Answer:

*79.40*

Step-by-step explanation:

using sine rule..

a/sinA = b/sinB

42/sin19= x/sin142

x= sin142*42/sin19

= 79.42356..

to the nearest tenth = 79.40.

Answer:

Step-by-step explanation:

a/sinA = b/sinB

(42/sin19) = (x/sin142)

x = (sin142 *42 / sin19)

Round to the nearest tenth -> 79.4

Answer:

Vertical angles are angles opposite of each other. hope it helps

At least 714 numbers of widgets must be sold per day to make a profit.

Given fixed operating cost = $2,500 per day cost of widget =$ 1.50

widget sells = $ 5.00

Cost function = C(X)=1.50x+2500

Revenue function = R(X)=5 x

At Break Even point R (X) = C (X)5

X= 1.50X+25003.5

X =2500X =714

hence to reach break even point or make profit 714 no to be sold.R(714)= 3571.

Learn more about function here https://brainly.com/question/27964003

#SPJ10

(a) [tex]\{x: x > -4 \}[/tex]

(b) [tex](-4, \infty)[/tex]

The total number of 512 portions will be made the recipe that contains 5 fluid ounces each.

The soup recipe gives 20 gallons.

As we know one gallon produces 128 fluid ounces.

There are 20 gallons produced.

So the number of fluid ounces produced will be 20*128= 2560

Given in the question each portion contains 5 fluid ounces.

Then there is a total of 2560 numbers of fluid ounces.

So the number of portions will be = number of fluid ounces/ number of fluid ounces in each portion=  2560/5= 512

Therefore the total number of 512 portions will be made the recipe that contains 5 fluid ounces each.

Learn more about gallon

here: https://brainly.com/question/19152962

#SPJ10

The perimeter of the following rectilinear figure is 54 units.

Perimeter of a figure is the distance covered when a person walk one round across its edges .

The given figure is in the form of a rectangle ,

The perimeter is equal to the sum of all sides ,

The bottom base is 13 includes (base of the small extended figure )

The left side is 14(includes left side of the small extended figure)

The right side is 10+5+4 (includes right side of the small extended figure)

The top is 8

Therefore the perimeter is 13+14+10+5+4+8 = 54 units

To know more about Perimeter

https://brainly.com/question/6465134

#SPJ1

Answer:

There were 42 fewer students who chose Football than Hockey.

Step-by-step explanation:

Fraction of students who chose Hockey

= 1 - [tex]\frac{1}{6}[/tex] - [tex]\frac{1}{3}[/tex]

= [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{2}[/tex] units = 21

 1 unit = 42

No. of students who chose Football

= 2 units ([tex]\frac{2}{6}[/tex])

= 84 students

No. of students who chose Hockey

= 3 units ([tex]\frac{3}{6}[/tex])

= 126 students

Difference between no. of students who chose Football and Hockey

= 126 - 84

= 42 students

∴There were 42 fewer students who chose Football than Hockey.

Step-by-step explanation:

[tex] = \frac{24 {x}^{2} y}{6x} [/tex]

[tex] = \frac{24}{6} . \frac{ {x}^{2}y }{x} [/tex]

[tex] = 4.xy[/tex]

[tex] = 4xy[/tex]

[tex] \: [/tex]

• Substitute the value of x.

[tex] = 4xy[/tex]

[tex] = 4 \times 0y[/tex]

[tex] = 0[/tex]

Answer:

Statement 1 is correct

Angles UST and QSR are complementary.

Step-by-step explanation:

Complementary angles are those angles whose addition gives result of 90°

Congruent angles are those angles which are equal to each other.we can say that there values are same.

Here angle RSU is complementary to angle UST.

Therefore there addition is equal to 90°

∠RSU + ∠UST =  90° - (i)

Here angle QSR is congruent to angle RSU.

It means ∠QSR =∠RSU -(ii)

From equation (i) and (ii)

∠QSR + ∠UST =  90°

So angles UST and QSR are complimentary angles.

Learn more about complimentary angles here -https://brainly.in/question/35749822

#SPJ10

Answer: A. They are complementary.

Step-by-step explanation: RIGHT ON EDGE 2023

Answer:

Step-by-step explanation:

it equal 925 tins in total when you multiply 37 times 25. Hope that helps

Si administran 500 ml. La tasa de goteo requerida en gotas por minuto es de 21 gtt/min.

Usando esta fórmula

Tasa de goteo requerida=(ml administrado×gotas/mL)÷ (Número de horas×Número de minutos por hora)

Vamos a conectar la fórmula

Tasa de goteo requerida =(500 mL x 20 gtt/mL) ÷ (8 hrs. x 60 min)

Tasa de goteo requerida =10,000÷480

Tasa de goteo requerida = 20.8

Tasa de goteo requerida =21 gtt/min (Aproximadamente)

Por lo tanto, la tasa de goteo requerida en gotas por minuto es de 21 gtt/min.

Obtenga más información sobre la tasa de goteo requerida aquí: https://brainly.com/question/27370811

#SPJ1

Step-by-step explanation:

please mark me as brainlest

Competitive business firms that earn a loss in the short-run should shutdown if price (P) is lesser than average variable cost (AVC).

An average variable cost (AVC) can be defined as the cost of production per unit item incurred by a business firm and divided by total output of production. Thus, it's calculated by dividing total variable cost (TVC) by total output of production.

As a general rule in Economics, competitive business firms that earn a loss in the short-run are advised to shutdown their production when price (P) is lesser than average variable cost (AVC).

Read more on average variable cost here: https://brainly.com/question/17010492

#SPJ1

Answer:

y = 1

x = -2

Step-by-step explanation:

During the substitution method, you are substituting one function into another. Because both functions are set equal to "x", you can make the functions equal each other. This allows you to 'get rid' of the "x" variable and simplify to find the value of "y".

5A) x = -2y

5B) x = 2 - 4y

-2y = 2 - 4y                     <----- Set both equations equal

2y = 2                             <----- Add 4y to both sides

y = 1                                <----- Divide both sides by 2

Now that you know what "y" equals, you can plug that value into the "y" variable into one of the equations. This will allow you to then simplify and find the answer for "x".

x = -2y                             <----- Equation 5A

x = -2(1)                           <----- Plug 1 into "y"

x = -2                              <----- Multiply -2 and 1

Answer:

  18 inches by 80 inches

Step-by-step explanation:

The given relations can be used in conjunction with the Pythagorean theorem to find the rectangle dimensions.

__

Let x and y represent the width and length of the rectangle, respectively. One of the relations is that between length and width:

  y = 2x +44 . . . . . length is 44 more than twice the width

The other relation is described by the Pythagorean theorem. The square of the diagonal is the sum of the squares of the length and width:

  x² +y² = (y +2)²

__

Expanding the second equation, and subtracting y², we find ...

  x² +y² = y² +4y +4

  x² = 4y +4

Substituting for y using the first equation gives the quadratic ...

  x² = 4(2x +44) +4

  x² = 8x +180 . . . . . . . eliminate parentheses

  x² -8x +16 = 196 . . . . add 16 -8x to make perfect squares

  (x -4)² = 14²

We're only interested in the positive solution, so ...

  x = 4 +14 = 18 . . . . . . . . square root, add 4

  y = 2(18) +44 = 80

The dimensions of the rectangle are 18 inches wide by 80 inches long.

_____

Check

The diagonal is √(18² +80²) = √6724 = 82.

The number of student tickets is 175 and the number of adult tickets is 425.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

Suppose the number of the student ticket is St and adult are At.

St + At = 600

St = 600 - At

Another expression for the total amount will be given as:-

13.5St + 17At = 9587.50

Put the value of St in the equation to find the value of At.

13.5( 600 - At) + 17At = 9587.50

8100 - 13.5At +17At = 9587.5

17At - 13.5 At = 9587. 5 - 8100

3.5 At = 1487.5

At = 425

St + At = 600

St = 600 - At = 600 - 425 = 175

Therefore the number of student tickets is 175 and the number of adult tickets is 425.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

Answer:

It's choice G or H

Step-by-step explanation:

The cube and the disc are representative of the variable r and a 1 (a single unit) The question says "Using the representations above..." Hopefully right before this question it tells you (above) which is the variable and which is the single unit.

The left and right sides of the balance are going to represent the left and right sides of the equation, with the = equal sign being the middle.

The 2 on the left side and the 18 on the right side will need to have the same image representing it on both sides (2 on the left, 18 on the right) because they are both numerical values. Then, there should also be one shape on the left that stands for the variable. Without seeing the info that preceded the question, it is either Answer G or Answer H. Edit in the additional info. I will be able to say exactly which one. But I bet you can see it!

The correct definition of an angle is D: A shape formed by two intersecting lines from a common point.

A line segment is extended infinitely in both directions whereas a 'ray' is a line segment that has one endpoint and extends infinitely in the other direction.

Now, an 'angle' is formed by two rays having a common end-point.

As the angle has a common endpoint,

Therefore it is not possible to form an angle by intersecting two rays having different endpoints.

Hence, option D is correct.

Learn more about line;

https://brainly.com/question/3455295

#SPJ1

The probability of 6 years or more, so we want the complement,

1 - 0.98533 = 0.01467                        1.467% chance, not very likely.

A z score is a type of statistical measurement that gives an idea of how far a raw score is from the mean of a distribution. A z score is used in a z test for hypothesis testing.

Here, Because you are looking for the mean of a group of 7.8, the standard deviation will shrink by a factor of √6

Old standard deviation = 0.7,

new standard deviation = 0.7/√6 = 0.64254

You need to find a z-score and then convert your z-score to a probability.

z-score = (your score - average)/ std dev

z-score = (7.8 - 6)/0.64254

z-score = 2.1789

To convert a z-score either look it up on a table or use a calculator.

But z-tables are designed to shade to the left, which means this is the probability that the mean life is 6 years or less. We want the probability of 6 years or more, so we want the complement, 1 - 0.98533 = 0.01467

1.467% chance, not very likely.

Learn more about Z-score from:

https://brainly.com/question/15016913

#SPJ1

Answer: Table D

Step-by-step explanation:

The coefficient of x^2 is -9, the coefficient of x is 7, and the constant is 0, so we know a = -9, b = 7, c = 0.

Thus, table D is the answer.

There are a few possibilities:

The second term refers to the idea of simplifying a claim down to an impossible absurd one.

A number line is just that – a straight, horizontal line with numbers placed at even increments. The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

As we know that in the given function |a|, when any value is given to a, then the value that the function is written is equal to a.

Let a=-5, then the value that the function will return is 5. Which is the distance borigin and a, on the number line.

Hence, The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

Learn more about the Number line:

https://brainly.com/question/557284

#SPJ1

Answer:

First Image: Choice B

Second Image: Choice B

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

            b represents the y-intercept

First Image:

In our equation, y = 0.1x + 1,

we see that the y-intercept of the line is 1 and the slope is 0.1

We can simple plug in the x values to test if the table is true:

x = -1

y = 0.1x + 1 → y = 0.1(-1) + 1 → y = -0.1 + 1 → y = 0.9

This proves choices A and C are INCORRECT

The next point is at x = 10

y = 0.1x + 1 → y = 0.1(10) + 1 → y = 1 + 1 → y = 2

Making choice D INCORRECT

Hence, you've selected the correct choice (B)!

Second Image:

In our equation, y = 3x + 2,

we see that the y-intercept of the line is 2 and the slope is 3

Choice A is INCORRECT due to (0,0) not logical as the y-intercept is 2

Choice B is CORRECT due to (1/3, 3) not logical as that 3 = 3(1/3) + 2

6 = 3(4/3) + 2 → 6 = 4 + 2.     → 6 = 6

3 = 3(1/3) + 2 → → 3 = 1 + 2.   → 3 = 3

20 = 3(6) + 2 → 20 = 18 + 2.  → 20 = 20

Choice C is INCORRECT due to (-6, 20) not logical as that 20 = 3(-6) + 2

Choice D is INCORRECT due to (10, 4) not logical as that 10 = 3(4) + 2

Learn more about slope and y-intercept here: brainly.com/question/12763756