Use the solutions below to write the quadratic expression in standard form.


x=-6 x=2

A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82

Answer:

a=2.55

b=0.576

c=912.87

f=2.295

Step-by-step explanation:

=15/100*17

=2.55

=17/100*15

=2.55

=1.2/100*48

=0.576

=12/100*480

=57.6

=147/100*621

=912.87

=125/100*549

=686.25

=80/100*2.55

=2.04

=40/100*2a

=40/100*(2*2.55)

=0.4*(5.1)

=2.04

=36/100*2.5(2.55)

=0.36*6.375

=2.295

=1.5/100*80(2.55)

=0.015*(204)

=3.06

Answer:

$20

Step-by-step explanation:

small painting: x

large painting: x + 20

5(x + x + 20) = 300

5(2x + 20) = 300

10x + 100 = 300

10x = 200

x = 20

Answer: $20

Answer:

a) -5 meters

b)160°C

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

20% of $40

= [tex]\frac{20}{100}[/tex] × $40

= 0.2 × $40

= $8

$8 is discounted from the regular price

Answer:

$8 off

Step-by-step explanation:

Convert from a percentage to a multiplier by dividing by 100:

[tex]\frac{20}{100}=0.2[/tex]

Then multiply that by the price:

[tex]40*0.2=8[/tex]

meaning the item is $8 off.

You can confirm that like so:

[tex]\frac{8}{40} =0.2\\[/tex]

or 20%

Answer:

a) slope / m = 3

b) y-intercept / b = 0

c) Proportional

Step-by-step explanation:

a)

( y1 - y2 ) / ( x1 - x2 )

( 6 - 12 ) / ( 2 - 4 )

( -6 ) / ( -2 )

6 / 2

3

b)

y = mx + b

6 = 3(2) + b

6 = 6 + b

0 = b

c)

Proportional is when it crosses origin ( 0, 0 ).

Not proportional is when it does not cross origin.

Hopefully this helps!

Brainliest please?

Answer:

Area of larger circle = [tex]\pi *r^2=3.14(11^2)=379.94[/tex]

Area of smaller circle = [tex]\pi *r^2=3.14(3^2)=28.26[/tex]

Probability that it lands in the shaded area (smaller circle):

28.26 ÷ 379.94 = 0.07438... = 0.07 (nearest hundredth)

The relationships between the amount spent on books and the cost of

each book is a proportional relationship.

The correct responses are;

Reasons:

The amount Gaya spends on books = $48

The cost of each book = $ x

(a) The expression in terms of x for the number of books Gaya buys is therefore;

Number of books Gaya buys × $ x = $48

Therefore;

(b) The amount Myra spends to buy books = $60

The cost of each book = $·(x + 2)

The number of books Myra buys = The number of books Gaya buys - 4

We have;

[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]

Which gives;

[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]

Using a graphing calculator, we get;

[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]

4·x² - 20·x - 96 = 60·x

Which gives;

4·x² + 40·x - 60·x - 96 = 0

4·x² - 20·x - 96 = 0

x² - 5·x - 24 = 0

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Answer:

Answer: 14.5 pounds

Step-by-step explanation:

Step-by-step explanation: Do 5.8 times 2.5

Answer:

14.5 lb

Step-by-step explanation:

1 bag weighs 5.8 lb.

2.5 bags weight 2.5 × 5.8 lb

2.5 × 5.8 lb = 14.5 lb

~exponent

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

(4a⁵b⁶)⁴

= 4⁴ × (a⁵)⁴ × (b⁶)⁴

= 256 × (a⁵)⁴ × (b⁶)⁴

= 256a²⁰ × (b⁶)⁴

= 256a²⁰b²⁴ ✔️

~ nice to help you ^^

(4a⁵b⁶)⁴ = ?

= 4⁴ (a⁵)⁴ (b⁶)⁴

= 256a²⁰b²⁴

Answer:

39

Step-by-step explanation:

75% of 52 is 39

Hope this helps!

Answer:  No

Step-by-step explanation:

The question is whether 3(4x+2) could ever equal 6(2x+2).  So let's set them equal to each other and find if there is a value of x, the days, where they are equal.

3(4x+2) = 6(2x+2)

12x + 6 = 12x+2

6 = 12??  No

They will bnever be at the same height.  They are growing at the same rate (12x) but starting at different heights (6 and 12)

Answer:

<A=67⁰

<B=22⁰

<C=42⁰

Answer:

a = 67° , b = 26° , c = 69°

Step-by-step explanation:

a and 67° are corresponding angles and are congruent , so

a = 67°

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

The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is

b + 34° = 60° ( subtract 34° from both sides )

b = 26°

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

The vertex of the triangle and 42° are vertically opposite and are congruent

vertex = 42°

The triangle has 2 equal legs and is isosceles with 2 base angles congruent.

c = [tex]\frac{180-42}{2}[/tex] = [tex]\frac{138}{2}[/tex] = 69°

Answer:

1 cuz 7+1=8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x=7

y=1

7+1=8

Answer:

because you are good with math

Step-by-step explanation:

Answer:

Step-by-step explanation:

The quotient is 0.62 and the remainder is 0.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given that, 2.48 divided by 4.

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.

Here,

4|2.48|0.62

  24

  24

_____

   08

   08

_____

    0

So, quotient is 0.62 and remainder is 0.

Therefore, the quotient is 0.62 and the remainder is 0.

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Answer:

The high temperature for the day was 5.4°F

Step-by-step explanation:

-18.3 + 23.7= 5.4

The high temperature for the day is 5.4° F.

Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.

Given that, The morning temperature in Finland was -18.3° F.

The temperature rose 23.7° F during the day before reaching its high temperature for the day.

Now, -18.3°+23.7°

= 5.4° F

Therefore, the high temperature for the day is 5.4° F.

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Answer:

I think by mental math it would be 2.8 feet.

Step-by-step explanation:

Answer:-2x < 10.

Step-by-step explanation:

Answer:

246

Step-by-step explanation:

Given that,

→ what is 492 divided by 2 ?

In mathematical form,

→ 492 ÷ 2

→ 246 {final answer}

Hence, the answer is 246.

The range of a function is the possible output values the function can have.

The range of the function is all real values except 0

The function is given as:

[tex]\mathbf{y = \frac{1}{4x + 1}}[/tex]

When the denominator of the function is 0, the function would not have a real value.

This means that:

[tex]\mathbf{y \ne 0}[/tex]

i.e. the value of y cannot be 0.

Hence, the range of the function is all real values except 0

Read more about domain and range at:

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Answer:

121

Step-by-step explanation:

Since the two lines are parallel, they will have the same angles, so all we need to do is find the angle that is next to 59°. Let's label this y °.

In other words, y °, the angle next to 59°, is equal to x°.

Since we are dealing with angles of a straight line, we know that the two angles of either line will add up to be 180°.

So, 59° + y ° = 180°

Isolate y by subtracting 59 from 180.

180 - 59 = 121

y ° = 121

So, x° = 121°

Answer:

Undefined

Step-by-step explanation:

x=-4 is a vertical line (On a graph) so it would be undefined

Answer:

80

Step-by-step explanation:

math

Answer:

120

Step-by-step explanation:

10 choose 3

theres really no simple way to do that with work unless you have a fancy calculator.

Area of one triangle = [tex]A = \frac{a·b}{2} = \frac{6 \times 3}{2} = \frac{18}{2} = 9 {cm}^{2} \\ [/tex]

For 5 triangles = [tex]9 \times 5 = 45 {cm}^{2} [/tex]

- BRAINLIEST answerer

Answer:

8 inches

Step-by-step explanation:

Area of a triangle:

[tex]a=bh/2[/tex]

We're given 2 variables already, area and base, so we just need to plug those in and solve for the 3rd variable.

[tex]40=10h/2\\40=5h\\8 = h\\h = 8[/tex]

Answer:

8

Step-by-step explanation:

a right triangle is half of a square, so (10*8)/2=10*4=40.