Assume that adults have it scores that are normally distributed with a mean of 99.6 and a standard deviation of 16.2 find the first quartile which is the hw score sepedafinf the bottom 25%

Answer: A) 21.25 ≤ x ≤ 22.75

Step-by-step explanation:

Given, Average weight of basketballs = 22 ounces

It is possible for its weight to vary at most 0.75 ounces from this average.

Let x denotes the weight of the basket ball.

Then, the required range  for a basketball's weight:

Average-0.75 ≤ x ≤ Average+0.75

⇒22-0.75 ≤ x ≤ 22+0.75

⇒21.25 ≤ x ≤ 22.75

Hence, the range for a basketball's weight: 21.25 ≤ x ≤ 22.75 .

Correct option: A) 21.25 ≤ x ≤ 22.75

Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction

or

[tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]

Step-by-step explanation:

Vertex form of equation : [tex]f (x) = a(x - h)^2 + k,[/tex]where (h, k) is the vertex of the parabola.

[tex]y=3(x-2)^2-(x-5)^2\\\\=3(x^2+4-4x)-(x^2+25-10x)\\\\=3x^2+12-12x-x^2-25+10x\\\\=2x^2-2x-13\\\\=2(x^2-x-\dfrac{13}{2})\\\\=2(x^2-x+\dfrac{1}{4}-\dfrac{1}{4}-\dfrac{13}{2})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{1+26}{4})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{27}{4})=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]

Hence, the vertex form of the equation is [tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]

Answer:

i got y=2(x-1/2)^2- 27/2 so the last one is right

Step-by-step explanation:

:)

Answer:

The diagonal of kite intersect at the point p is C. 68°

Answer: -1

Step-by-step explanation:

[tex]5t-3=3t-5[/tex]

Add 3 to both sides.

[tex]5t=3t-2[/tex]

Subtract 3t from both sides.

[tex]2t=-2[/tex]

[tex]t=-1[/tex]

Hope this helps!

Answer: t=-1

Step-by-step explanation:

1) add 3 to both sides

2) subtract 3t from both sides

3) Divide both sides by 2

Answer:

Jesse

Step-by-step explanation:

Everyone except for Jesse and Trey asked other grades but Jesse and Trey was the only one that asked 6th graders. The reason why I thought Trey might be biased is he asked HIS class while Jesse asked random people.

Hope this helped! :)

Answer:

95°

Step-by-step explanation:

Angle 1 and 4 are opposite angles, thus equal, so:

3x+10 = 4x-15 =>

x = 25

Angle 1 and 4 are 85°

Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.

Angle 6 and 7 are again opposite, so angle 7 is 95° as well!

Step-by-step explanation:

[tex]A[/tex]- all of the chosen balls are white [tex]E_{i}-[/tex] result of the die roll is [tex]i, \quad i \in\{1,2,3,4,5,6\}[/tex]

Probabilities:

since the die is fair:

[tex] P\left(E_{i}\right)=\frac{1}{6} \quad \text { for } \quad i \in\{1,2,3,4,5,6\} [/tex]

If the die rolls [tex]i[/tex] we choose a combination of [tex]i[/tex] balls, among 10 black and five white balls, therefore

\[ \begin{array}{c}

P\left(A \mid E_{1}\right)=\frac{\left(\begin{array}{c} 5 \\

1 \end{array}\right)}{\left(\begin{array}{c} 15 \\ 1 \end{array}\right)}=\frac{5}{15}=\frac{1}{3} \\ P\left(A \mid E_{2}\right)=\frac{\left(\begin{array}{c} 5 \\ 2 \end{array}\right)}{\left(\begin{array}{c} 15 \\ 2

\end{array}\right)}=\frac{10}{105}=\frac{2}{21} \\

P\left(A \mid E_{3}\right)=\frac{\left(\begin{array}{c} 5 \\ 3

\end{array}\right)}{\left(\begin{array}{c} 15 \\ 3

\end{array}\right)}=\frac{10}{455}=\frac{2}{91} \\

P\left(A \mid E_{4}\right)=\frac{\left(\begin{array}{c} 5 \\ 4

\end{array}\right)}{\left(\begin{array}{c} 15 \\ 4

\end{array}\right)}=\frac{1}{273} \\

P\left(A \mid E_{5}\right)=\frac{\left(\begin{array}{c} 5 \\ 5

\end{array}\right)}{\left(\begin{array}{c} 15 \\ 5

\end{array}\right)}=\frac{1}{3003} \\

P\left(A \mid E_{6}\right)=\frac{\left(\begin{array}{c} 5 \\ 6

\end{array}\right)}{\left(\begin{array}{c} 15 \\ 6

\end{array}\right)}=0

\end{array} \]

Answer:

isosceles

Step-by-step explanation:

Answer:

Hey there!

Discrete Data is the number of friends you invited to your last birthday party.

Hope this helps :)

Answer:

a) The number of friends you invited to your last party.

Step-by-step explanation:

Let’s take a step back what is discrete, and what continuous?

Discrete

This is the type of data with certain whole numbers not 2.36 only 2 or 3.

Continuous

This is the data being specific like 1.373.

So a)

The is discrete because you can only have like 5 friends not 7.49 friends.

b)

This is continuous because height can be 5.26 feet.

c)

Time is continuous because there can be 4.3739 minutes.

d)

Weight is also continuous it can be 6339.373 pounds.

The correct is:

[tex][(-9,3),\:(-5,1),\:(7,-5),\:(4,3)][/tex]

The definition of a function is that for every value of [tex]x[/tex] we get one from [tex]y[/tex].

In the first appears [tex](-6,1)[/tex] y [tex](-6,-7)[/tex], it is not a function, since it does not meet the definition given above, there can only be one value for x, if there are [tex]2[/tex] or more, called relation.

In 2 repeat: [tex](7,-6)[/tex] and [tex](7,0)[/tex]

In 3 repeat: [tex](1,-3)[/tex] and [tex](1,0)[/tex]

Answer:

[tex]\Large \boxed{\sf\ \ (0,-9) \ \ }[/tex]

Step-by-step explanation:

Hello,

We know that when the parabola equation is

   [tex]y=a(x-h)^2+k[/tex]

the vertex is (h,k) and the focus is

   [tex](h,k+\dfrac{1}{4a})[/tex]

Here, the equation is

   [tex]y=-\dfrac{1}{12}x^2-6[/tex]

so

   [tex]a=-\dfrac{1}{12}\\\\h = 0\\\\k =-6[/tex]

So,

[tex]k+\dfrac{1}{4a}=-6-\dfrac{12}{4}=-6-3=-9[/tex]

Then, the focus is

[tex]\large \boxed{\sf\ \ (0,-9) \ \ }[/tex]

I attached the graph, included the focus so that you can see it :-)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence,  the average of your last two test scores = 92.

Answer:

-9.6

Step-by-step explanation:

[tex]2\frac{2}{5} =2.40\\-\frac{1}{4} =-0.25[/tex]

If change them into decimals it looks like that.

Then all you have to do is use standard calculator to find the answer.

[tex]\frac{2.40 }{-0.25} =-9.6[/tex]

Answer:9 and 3/8  

Step-by-step explanation:

you have to make 2 and 2/5 into an improper fraction then make the -1/4 into a -4/1 then multiply across to make 48/5 then you have to reduce down to 8 and 8/5. but that cant happen so you reduce again and get 9 and 3/8.

Answer: 115 swords

Step-by-step explanation:

He forged 32 swords from copper, 2*32 from iron and 19 from mythril.  Thus, he forged 32+(32*2)+19, or 32+64+19, or 115 swords.

Hope it helps <3

Answer:

110

Step-by-step explanation:

no need

Answer: Option D

Step-by-step explanation:

Answer:

✔ D.

Step-by-step explanation:

E2021

Answer:

D

Step-by-step explanation:

Apply rule : [tex]-(-a)=+a[/tex]

Negative times negative is positive.

The expression turns into a sum of fractions.

Answer:

tan(x) is 23/28 x= the unknown angle

then multiply each side by the inverse of tan giving you x=tan^-1(23/28) which I got as 39°

Answer:

i think its option b but im not sure

Answer:

Construction II

Step-by-step explanation:

Construct 3 perpendicular bisectors of the triangles sides; where they intersect is the point of concurrency. The distance from the point of concurrency to one of the vertices is the radius.

Answer:

clay sphere gives more clay for less money

Step-by-step explanation:

Volume of cone=1/3πr^2h

=1/3*3.14*(9^2)*12

=1/3*3.14*81*12

=3,052.08/3

=1017.36 inches^3

Volume of a cyclinder=πr^2h

=3.14*(9^2)*12

=3.14*81*12

=3,052.08 inches^3

Volume of a sphere=4/3πr^3

=4/3*3.14*(9^3)

=4/3*3.14*(9^3)

=4/3*3.14*729

=9,156.24 / 3

=3,052.08 inches^3

Clay cone=$12

Clay cyclinder=$30

Clay sphere=$28

Which is the best to buy

Comparing volume

Volume of sphere=3,052.08 inches^3

Volume of cyclinder=3,052.08 inches^3

Volume of cone=1017.36 inches^3

Sphere and cyclinder both have the same volume which is 3 times more than volume of a cone

Clay sphere cost $28 which is cheaper than clay cyclinder at the same volume.

Therefore, clay sphere gives more clay for less money

Answer:

Hey there!

The two lines in this graph are: y=-1/5x+2, and y=3x-2

Since y=-1/5x+2 is a dotted line, we know that we use the < or > symbols.

Since y=3x-2 is a straight line, we use the ≤ and ≥ symbols.

Thus, for area z, we have y<-1/5x+2, and y≥3x-2

Hope this helps :)

Answer:

.32 or 32%

Step-by-step explanation:

The area of the circle is about 50.27

Given this you can use this to find the area of the triangle and find the precent  of the circle that is shaded:

The area of the triangle is 16

you can divide 16 by 50.27 to see the precntage or propability for the answer

Answer:

The data that we have is:

f(x) = x + 5

g(x) = x^2 + 1

p(x) = g(x) + f(x) = (x^2 + 1) + (x + 5) = x^2 + x + 6.

q(x) = g(x) - f(x) =  (x^2 + 1) - (x + 5) = x^2 - x - 4

We want to find  p(x)*q(x)

well, we can replace:

p(x)*g(x) = (g(x) + f(x))*(g(x) - f(x))

Now, you can recall the relationship:

a^2 - b^2 = (a + b)*(a - b)

then we have that:

(g(x) + f(x))*(g(x) - f(x)) = g(x)^2 - f(x)^2

now we can replace g(x) and f(x) by the expressions that we know:

g(x)^2 - f(x)^2 = (x^2 + 1)^2 - (x + 5)^2

now we can simplify this:

(x^2 + 1)^2 - (x + 5)^2 = (x^4 + 2*1*x + 1^2) - (x^2 + 2*5*x +5^2)

= x^4 + 2*x + 1 - x^2 - 10x - 25

= x^4 - x^2 - 8*x - 24

p(x)*q(x) = x^4 - x^2 - 8*x - 24

Answer:

x^4+x^2-10x-24

Step-by-step explanation:

Answer:

1/4

1/2

3/4

Step-by-step explanation:

Given:

Types of colors in the spinner

Yellow 1

Red 2

Blue 1

Total:4

Successful outcome of Yellow:1

Successful outcome of Red:2

Successful outcome of Blue:1

Required:

Probability of the

Formula:

Probability= successful outcome ÷ possible outcome

Solution

Probability=1 ÷ 4

Probability= 2÷4

Probability= 3÷4

Hope this helps ;) ❤❤❤

Answer:

x = 0.

Step-by-step explanation:

4x = 3x

4x - 3x = 0

x = 0

Hope this helps!

The best interpretation of the given equation is x = 0

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that, Kate begins solving the (6x – 3) = (6x – 4). Her work is correct and is shown below. (6x – 3) = (6x – 4)

4x – 2 = 3x – 2 When she adds 2 to both sides, the equation becomes 4x = 3x

After performing the operations, we get,

4x = 3x

This is only possible when x = 0

Hence, the best interpretation of the given equation is x = 0

For more references on Equation, click;

https://brainly.com/question/10413253

#SPJ6

Answer:

1 3/4

Step-by-step explanation:

5/4 + 1/2

Get a common denominator of 4

5/4 * 1/2 *2/2

5/4 + 2/4

7/4

Rewriting as a mixed number

4/4 + 3/4

1 3/4

Answer:

13.28

Step-by-step explanation:

Take the total amount she has and subtract what she just earned

23.43 - 10.15

13.28

This is what she had before she started cleaning

Answer:

Step-by-step explanation:

23.43 - 10.15= 13.28 $

Answer:

3

Step-by-step explanation:

Answer: x = -5 and x = 3

Step-by-step explanation:

on edg

Answer:

14

Step-by-step explanation:

I attached a picture and I hope this helps ;) ❤❤❤

Answer:

The third number is 14

Step-by-step explanation:

To find the average of 3 numbers add the three numbers and divide by 3

Let x be the third number

( 45+16+x) /3 = 25

Multiply each side by 3

( 45+16+x) /3 *3 = 25*3

( 45+16+x) = 75

Combine like terms

61+x = 75

Subtract 61 from each side

61+x-61 = 75-61

x = 14

Answer:  No they are not inverses.

Step-by-step explanation:

If they are inverses,  then the inverse of f(x) will equal g(x).

[tex]y=\dfrac{1}{x+4}-9\\\\\\\text{Swap the x's and y's:}\\x=\dfrac{1}{y+4}-9\\\\\\\text{Solve for y:}\\x+9=\dfrac{1}{y+4}\\\\y+4=\dfrac{1}{x+9}\\\\y=\dfrac{1}{x+9}-4[/tex]

f⁻¹(x) ≠ g(x) so they are not inverses