What is the y-intercept of the graph of p(x)=-3(x-2)²+4

[tex]\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}} [/tex]

[tex]\longrightarrow[/tex] Here, no of observation are 9

Now,

[tex]\begin{gathered}\implies \small \sf Average =\frac{23+33+33+27+25+68+27+44+72}{9}\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \small \sf Average =\frac{56+60+93+71+72}{9}\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf Average =\frac{116+164+72}{9}\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf Average =\frac{352}{9}\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf Average = 39.1 \\\end{gathered}[/tex]

[tex]\longrightarrow[/tex]The Average of given set of numbers is 39.1 .

∴ Option C) is correct ✔️

Answer:

The average / mean is 39.1

Step-by-step explanation:

Numbers Given :- 23 , 33 , 33 , 27 , 25 , 68 , 27 , 44 , 72

What to do ?

Solution :-

What we know is ,

Formula of average :- Sum of observation / No. of observation

Lets do it , by putting the values we get :-

[tex] \frac{23 + 33 + 33 + 27 + 25 + 68 + 27 + 44 + 72}{9} [/tex]

[tex] = 39.1[/tex]

Answer:

C

Step-by-step explanation:

[tex]5 \div 19[/tex]

think of

5/19 as in and out. 5 would be inside 19 would be on the outside. Therefore

5÷19 is equivalent to

[tex] \frac{5}{19} [/tex]

Answer:

70-80

Step-by-step explanation:

Step-by-step explanation:

height(h) = 12

slant height (l) = 15

side(a) = 18

TSA of pyramid = a^2 + 2al

                           = (18)^2 + 2* 18*15

                           = 864m^2

Answer:

Answer is D or a

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

you have asked how many pupils have been surveyed and all of them have so it's 1000 the number of pupils

Answer:

12 feet

Step-by-step explanation:

80 / 5 = 16

1 inch = 16

16 / 4 = 4

4 * 3 = 12

The measure for x is 30 degree.

A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary, which means their measures add up to 180 degrees.

Given:

We have angles forms line are x, 120 and x.

So, x+ 120 + x = 180 (Linear pair)

2x+ 120 = 180

Now, Simplifying for x

Subtract 120 from both side we get

2x+ 120 - 120 = 180 - 120

2x = 60

Now, Divide both side by 2 we get

2x/ 2 = 60/ 2

x = 30

So, the measure of x is 30.

Learn more about Linear pair here:

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Answer:

Step-by-step explanation:

Isaiah Let's solve this by rewriting the actual measurements the two boys have with their uncertainties. Krisann has a measuring tape to the nearest quarter inch. So his measurement may be off by half that, or and eighth of an inch. So his measurement is 27.75 ± 0.125. Isaiah has a measuring tape to the nearest eighth inch. So his measurement may be off by up to a sixteenth of an inch. So his measurement is 27.75 ± 0.0625 Now which is more precise, 27.75 ± 0.125, or 27.75 ± 0.0625? The answer is pretty obvious with 27.75 ± 0.0625 being the more precise measurement. And that value is from Isaiah.

Answer:

the answer is the number two.

Step-by-step explanation:

1. compare the table, the person without a membership is more likely to take vitamin than a person with gym membership. 2 compare the answer with each other.

Answer:

They are all right. They all equal what the sum is.

Step-by-step explanation:

Answer:

5x - 3

Step-by-step explanation:

Subtract the numbers

(2x+5) + (3x-8)  ---->  2x-3 +3x

Combine like terms

2x-3 + 3x ----> 5x - 3

Answer

5x - 3

done! :)

Rolling a dice and landing on a number less than 3: 2/6 or 1/3

Getting heads: 1/2

Getting a 7 in a deck on cards: 4/52 or 2/26 or 1/13

Answer:

Step-by-step explanation:

Answer:

[tex]beinggreat78~here~to~help.[/tex]

Your answer would be that 1.2 is bigger.

This is the case because the tenths place, the decimal farthest to the left, is greater than the compared tenths place, which has a 1

1 is greater than 2

With that information, 1.2 is bigger.

Comparing the two decimal approximations, we can see that 1.2 is bigger than 1.18 repeating (1.1818).

To compare 1.2 and 1.18 repeating (1.181818...), we can first convert 1.18 repeating to a fraction.

Let x = 1.181818...

Now, multiply x by 100 to remove the repeating decimal:

100x = 118.181818...

Subtract x from 100x to eliminate the repeating part:

100x - x = 118.181818... - 1.181818...

99x = 117

x = 117 / 99

Now, we simplify the fraction:

x = 13 / 11

Now that we have both numbers in decimal form, we can compare them:

1.2 ≈ 1.2 (rounded to one decimal place)

1.18 repeating = 13 / 11 ≈ 1.1818 (rounded to four decimal places)

Comparing the two decimal approximations, we can see that 1.2 is bigger than 1.18 repeating (1.1818).

To know more about bigger:

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Answer:

it's answer D

Step-by-step explanation:

its answer D, hope it helps

Answer:

iv answered this question for you already in the other one

Step-by-step explanation:

hope you have a good day

Answer:278, 932

Step-by-step explanation:

They are very far from the other numbers.

Answer:

50°

Step-by-step explanation:

50°+2x=150(vertically opposite angles)

x=50

Answer:

x = 50

Step-by-step explanation:

The angles (50 + 2x) and 150 are equal, as they are vertically opposing angles.

Answer:

b) adjacent and complimentary

Step-by-step explanation:

Supplementary angles equal 180. Complimentary angles equal 90. 55+35 equals 90 and are next to each other therefore they are adjacent and comlimentary.

Answer:

B

Step-by-step explanation:

a²+b²=c²

so 3²+4²=5²

.......

Answer:

A) 24*m + 40 ≤ 256

B) She could leave the house running for at most 9 minutes

Step-by-step explanation:

Answer:

A: 55

B: 125

C: 55

Step-by-step explanation:

Answer:

A: [tex]55[/tex]°
B: [tex]125[/tex]°
C: [tex]55[/tex]°

Step-by-step explanation:

Geometry properties!

When we look at this photo we see that [tex]a[/tex] and [tex]b[/tex] are on a line, meaning that [tex]a+b=180[/tex].

But because we don't have enough info yet we can't solve for them.

So let's head over to [tex]c[/tex].

For [tex]c[/tex] we see that it is also on a line with a right angle, and 35 degrees. This means that:

[tex]c + 90 + 35 = 180[/tex]

If we solve for [tex]c[/tex], we get:

[tex]c=180-90-35= 55[/tex].

Now we see that [tex]a[/tex] makes a vertical angle with [tex]c[/tex], meaning that angle [tex]a[/tex] is equal to angle [tex]c[/tex].

So now we know what angle [tex]a[/tex] is: [tex]55[/tex]°

Now we can go back to [tex]a + b =180[/tex]

Since we know [tex]a =55\\\text{we can get}\\55+b=180\\b=180-55=125[/tex]

That's it!

Answer:

43

Step-by-step explanation:

on the shape to the right angle k looks similar to angle p and we know angle p is accute making it less than 90

Answer:

the answer is

1017.88.

in terms of pi

Answer:

Y = 1/4x-1

X = 4y-1

Step-by-step explanation:

layout the equations :

x+1/y = 4        y+1/x = 1/4

solve the equations, remember to switch sides switch signs solving the equations will give us the value of the letter

x+1/y = 4

x+1 = 4y

x=4y-1

***

y+1/x = 1/4

y+1  = 1/4x

y = 1/4x-1

Let first consider the equations one by one and will be solving one by one ;

[tex]{:\implies \quad \sf x+\dfrac{1}{y}=4}[/tex]

Multiplying both sides by y will lead ;

[tex]{:\implies \quad \sf xy+1=4y}[/tex]

[tex]{:\implies \quad \boxed{\sf xy=4y-1\quad \cdots \cdots(i)}}[/tex]

Now, consider the second equation which is ;

[tex]{:\implies \quad \sf y+\dfrac{1}{x}=\dfrac14}[/tex]

Multiplying both sides by x will yield

[tex]{:\implies \quad \sf xy+1=\dfrac{x}{4}}[/tex]

[tex]{:\implies \quad \sf xy=\dfrac{x}{4}-1}[/tex]

[tex]{:\implies \quad \boxed{\sf xy=\dfrac{x-4}{4}\quad \cdots \cdots(ii)}}[/tex]

As LHS of both equations (i) and (ii) are same, so equating both will yield;

[tex]{:\implies \quad \sf 4y-1=\dfrac{x-4}{4}}[/tex]

Multiplying both sides by 4 will yield

[tex]{:\implies \quad \sf 16y-4=x-4}[/tex]

[tex]{:\implies \quad \sf 16y=x}[/tex]

Dividing both sides by y will yield :

[tex]{:\implies \quad \boxed{\bf{\dfrac{x}{y}=16}}}[/tex]

Hence, the required answer is 16

Answer:

Angle C= 79 degrees Angle X = 62 degrees

Step-by-step explanation:

Angle A= 62 degrees Angle B=39 degrees Angle C= ?

Angle X=?                    Angle Y= 39 degrees Angle Z= 79 degrees

Because both triangles share a similar angle (B and Y), meaning they are the same amount of degrees, triangle ABc and triangle XYZ could be similar, and if they are similar Angle X would equal the same as A and Angle C would equal the same as Z, Do you understand? if not message me and i could further explain!

Answer:

yes they are similar

Step-by-step explanation:

Angle C= 79 degrees Angle X = 62 degrees