As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution when _____

Your teacher didn't pick the most simple way to do this problem, the steps your teacher gave is confusing. Using the same concept, I am going to do this my way then I will show a different method.

3x^2+24x+9=0

x^2+8x+3=0

x^2+8x+16+3=16

(x+4)^2=13

x+4=±[tex]\sqrt13[/tex]

x=-4±[tex]\sqrt13[/tex]

This is how you are suppose to solve it with completing the square and all the steps, to fill your teacher's blank you will have to go from my answer to how your teacher want you to write it.

*Now I am going to show you a way to solve this with the quadratic formula.

I am going to use the main formula because its more clear although the even formula is easier for this question.

3x^2+24x+9=0

x=(-24±[tex]\sqrt{24^2-4*3*9}[/tex])/2*3

x=(-24±[tex]\sqrt{576-108}[/tex])/6

x=(-24±[tex]\sqrt{468}[/tex])/6

since 468 is a multiple of 36

x=(-24±6[tex]\sqrt{13[/tex])/6

x=-4±[tex]\sqrt{13}[/tex]

This bottom way is really good if you can calculate quickly, with a lot of practice this way is much better for solving quadratic equations that cannot be factored.

Answer:

5xy + 11x + 3

Step-by-step explanation:

We have the expression 2x + 5xy + 9x + 3 and are asked the solution.

This is different from most standard addition problems, we have an influx of variables, since we do. We follow the like term rules, which is that we can only add the numbers that have the same variable endings, in this case, only 2x and 9x are like terms, so we add them.

2x + 9x

11x

Therefore :

5xy + 11x + 3

Answer:

6-7 dollars maybe?

Step-by-step explanation:

you didn't give a picture so Im just rounding

(sorry if I'm wrong)

Answer:

2×2×2×2=16. hope u like it

Step-by-step explanation:

just multiply both the values and get the quadratic solution.

The standard form of the (3x+1)(x+4) is 3x^2+13x+4=0.

We have given that,

(3x+1)(x+4) using the table of products.

We have to determine the standard form.

The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).

ax^2+bx+C=0

[tex]=3xx+3x\cdot \:4+1\cdot \:x+1\cdot \:4[/tex]

[tex]=3x^2+13x+4[/tex]

Therefore the standard form is 3x^2+13x+4=0.

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Answer:

11x-10

Step-by-step explanation:

1.Rearrange terms

-2(4-3x)+(5x-2)

-2(-3x+4)+(5x-2)

2.Distribute

-2(3x+4)+(5x-2)

6x-8+(5x-2)

3.Eleminate redundant parentheses

6x-8+(5x-2)

6x-8+5x-2

4.subtract the numbers

6x-8+5x-2

6x-10+5x

5.Combine like terms

6x-10+5x

11x-10

•solution

11x-10

Answer:

C ) x < 1

Step-by-step explanation:

The open circle on a number line means: less than or greater than. The arrow is pointing to the left, towards the negatives, so x would be less than 1.

Answer:

D

Step-by-step explanation:

u = 4 since 2u - 1 = 8 - 1 = 7

t = 3 since 5t + 1 = 15 + 1 = 16

and 7t - 5 = 21 - 5 = 16

Hope that helps!

Answer:

2 and -5 i think

Step-by-step explanation:

Answer:

A. False

B. True

C. False

D. False

E. True

Step-by-step explanation:

A. The diameter would be 6 inches.

B. Circumference = Diameter × 2

C. Area = Pi * Radius^2, NOT Pi^2.

D. Same as C.

E. Area = 3.14 × 1.5 × 1.5 = 7.065

Step-by-step explanation:

an = -9 + 7(n-1)

because you start at -9 and go up by increments of 7

Answer:

What's your question ask the full question

Answer:

The answer is 10

Step-by-step explanation:

To get this you will make the improper fraction into a fraction and then turn that into decimal form

[tex]4 \frac{1}{8} = 4[/tex]

and

[tex]5 \frac{6}{10} = 6[/tex]

That is how you find the estimated answer

Hope this Helped

Answer: The flower grew  0.88 inches during the week

Step-by-step explanation:

Height of flower in the previous week = 3.25 inches

Height of flower the next week = 4.125inches

height the flower added during the week = 4.125 inches - 3.25inches

=0.875 inches

Rounding to the nearest hundredths becomes 0.88 inches

Answer: 100

Step-by-step explanation:2*5 =10 then 10*10 is 100

Answer:

100

Step-by-step explanation:

so, here is how to work this problem out

2*5 = 10

10*10 = 100

Answer:

54

Step-by-step explanation:

55 + 74 + 78 + z + z + 45 = 360

252 + 2z = 360

2z = 108

z = 54

Answer: 288

Step-by-step explanation:

78+74+55=207

The degree of a pentagon is 540°

so 540-207=333

so z has to be 333 but the question says +45 and that would make 333 become 378 and we need to get exactly to 333 so the answer cant be 333 but a number that 45 can be added to ,to make 333 for example 54+45=99 so 54 isnt the answer,next is 144+45 which is 189 that doesnt equall 333 so that isnt the answer either lastly is 288+45 which is 333 Thats the answer ...

Answer:

shortest side = 42 inches

Step-by-step explanation:

9x + 7x + 3x = 266

x = 14

3x = 42

if you have a graphing calculator (i use a website called desmos) put in x < 3. i attached a photo of what the graph should look like. the shaded area is where the solutions are. since the shaded area ends with a dotted line, points on that dotted line are not part of the solution.

i hope this helps! sorry i couldn't give a more descriptive explanation... it's pretty much all in the picture lol. have a lovely day! <3

Answer:

getting points since this is an old question tehe

Answer:

5. Inequality form: n  ≥  3

   Interval notation: [3, ∞)

6.  Inequality form: x < 4

    Interval notation: (- ∞, 4)                          

11. Inequality form: x > 50

   Interval notation: (50, ∞)

12. Inequality form: y [tex]\geq[/tex] 8

     Interval notation: [8, ∞)

15. Inequality form: z < 8

    Interval notation: (- ∞, 8)

16. Inequality form: y [tex]\geq[/tex] 4

    Interval notation: [4, ∞)

Step-by-step explanation:

I tried to graph them as best as I could, I hope this helps!

Answer:

the fraction of the invitations considered to be an animal on them is [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

The computation of the fraction of the invitations considered to be an animal on them is shown below:

= Children party invitations × animal on them

[tex]= \frac{15}{21} \times \frac{3}{5}\\\\= \frac{3}{7}[/tex]

Hence, the fraction of the invitations considered to be an animal on them is [tex]\frac{3}{7}[/tex]

Answer: Given that a parallelogram ABCD has sides AB= 6 ft and AX = 3√3

Angle A =30

To find the area of the parallelogram

We have area of parallelogram = base x height

Here base can be taken as side AB = 6 ft

Height = perpendicular distance of AB from vertex X

= AX sin A

= 3√3sin30

=1.5√3

Hence area =6(1.5√3)=9√3ft^2

MARK ME BRAINLIST

HOPE IT IS HELPFUL

Answer:

16√3 in.²'

Step-by-step explanation:

Hope this helps, sorry for answering late.

Answer:

let me think

Step-by-step explanation:

The value of x in the triangle is 11.62

The complete question is in the attached image

From the image, we have the following tangent function

tan(71) = x/4

Make x the subject

x = 4 * tan(71)

Evaluate the expression

x = 11.62

Hence, the value of x is 11.62

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Answer:

11.62

Step-by-step explanation:

took the test

Answer:

I think 3 maybe since 5 times 3 is 15

Step-by-step explanation:

Answer:

z=10

Step-by-step explanation:

60/40=1.5

15/1.5=10

Answer:

10¢

Step-by-step explanation:

To find how much an ounce cost, dive 2.35 by 24.

[tex]\frac{2.35}{24} = 0.097\\[/tex]

Multiply by 100, and thus you get 9.79, or, to the nearest penny, 10 cents.