On a recent Summative Assessment, the mean score for the Algebra 1 class was 72 and the standard deviation was 7. See the normal distribution curve below that represents the data and answer the following questions.

What score is the 16th percentile?

Answer:

A. 30

B. 6

Step-by-step explanation:

We'll use P for Penny's age and B for Benny's age. When Penny is 24, Benny will be 1.25 her age. Thus:

B = 1.25 * 24

(benny is 25% older than her)

So Benny's age then will be 1.25 * 24 = 30.

When Benny is 30, Penny will be 24. This means that he is older than her by 6 years. Think about it for a second: Benny will always be 6 years older than her. You can write that as:

B = P + 6

If Benny is 12 years old now,

12 = P + 6

Subtract 6 from both sides and you get

6 = P

or P = 6

Penny is 6 years old when Benny is 12.

Answer:

35 degrees

Step-by-step explanation:

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side

sum of angles in a triangle = 180

180 - 110 = 70

since 2 angles would be equal

70 / 2 = 35

Answer:

?

Step-by-step explanation:

Answer:

ill help but i need the question

Answer:

2 ft

Step-by-step explanation:

Perimeter = 4 * sides

8 ft = 4 * s

side = 2 ft

Answer:

2 ft

Step-by-step explanation:

8/4 = 2

Answer:

See solution below

Step-by-step explanation:

The centre of the circle will be the midpoint of both coordinate

Given the coordinates P(-7, -10) and Q = (3,2)

X = x1+x2/2

X = -7+3/2

X = -4/2

X = -2

Y = y1+y2/2

Y = -10+2/2

Y = -8/2

Y = -4

Hence the centre is at (-2, -4)

The distance between the coordinates will be the diamter

PQ =√(3+7)² + (2+10)²

PQ =√(10)² + (12)²

PQ = √100+144

PQ =√244

radius = √244/2

Get the equation

(x-a)² + (y-b)² = r²

(x -(-2))² + (y-(-4))² = (√244/2)²

(x +2)² + (y+4)² = (244/4)

(x +2)² + (y+4)² = 61

This gives the required equation

Answer:

area of the square=18×18

=324 cm²

area of the circle=πr²

=3.142×9² (radius=18cm/2=9cm). =254.502 cm²

area of the shaded region=324-254.502

=69.498 cm²

Answer:

hola la respuesta es 3900 y 2348

Step-by-step explanation:

espero que te sirva

The true statements concerning trapezoid RSTU are:

STUT

CABRS

DRS UT

Based on the given information that Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU, we can determine the relationships between the corresponding sides and angles of the two trapezoids.

Given:

AB || DC

Based on the parallel lines, we can infer the following relationships:

Corresponding sides are parallel:

RS || UT (corresponds to AB || DC)

ST || RU (corresponds to BC || DA)

Corresponding angles are congruent:

∠R ≅ ∠A

∠S ≅ ∠B

∠T ≅ ∠C

∠U ≅ ∠D

From these relationships, we can determine the following statements that are true concerning trapezoid RSTU:

STUT (corresponds to ABCD): The bases of the trapezoids are parallel, so the order of the vertices remains the same.

CABRS (corresponds to DCBA): The corresponding angles in trapezoid RSTU and trapezoid ABCD are congruent.

DRS UT (corresponds to ABDC): The order of the vertices is reversed, but the parallel sides and corresponding angles remain the same.

Therefore, the true statements concerning trapezoid RSTU are:

STUT

CABRS

DRS UT

To know more about trapezoid here

https://brainly.com/question/1410008

#SPJ2

Answer:

Whats the question?

Step-by-step explanation:

Answer:

5.99/3

Step-by-step explanation:

Teachers usually except this stuff because it is technically correct

Answer:

It is A 7

Step-by-step explanation:

2(7)+4= 18

14 + 4=18

Answer:

3282 m^2

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

r = (450,000 x (3/2) x(1/3.14)) ^1/3

r = 45.72

Area of a semicircle = 1/2 x n x r^2

1/2 x 45.72^2 x 3.14 = 3282 m^2

Answer:

Graph the point at -1 on the y-axis, then the next at 4 on the x-axis, then connect them

This is the graph as in upload

answer 4

explanation

Nikki sold 4 more than Samantha number times 5

24-4=20

so Samantha number times five equals 20

20÷5=4

Samantha sold 4 boxes of cookies

Answer:

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Step-by-step explanation:

2(x + 8)²+ 9 = 29

Subtract 9 from both sides

2(x + 8)² = 20

Divide both sides by 2

(x + 8)² = 10

Take the square root of both sides

x + 8 = ±√10

Subtract 8 from both sides

x = -8 ± √10

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Answer:

SA ==736^2

Without unit = 736^2

Step-by-step explanation:

Start with base of a triangle face

Base = 12 Height = 8

1/2 x 12 x 8 =  48  cm^2      one side face surface area

48 x 2 = 96 cm^2               two side face surface area bold

----

Sides

10 x 20 = 200 cm^2            one side face surface area

200 x 2 = 400 cm^2           two side face surface area bold

-----

base 20 x 12 = 240 cm^2    single base. bold

Add up those values in bold =  240 + 400 + 96 =736 cm^2

Answer:

A. x^2+3x-4

B. 6x^2-5x+1

Answer:

A: x^2+3x-4

B: 6x^2 -5x +1

Step-by-step explanation:

Alright, so for this, use the FOIL method, by multiplying the terms of each question in this order:

First

Outer

Inner

Last

So with the first question, lets do this:

(x+4)(x-1)

F: x * x = x^2

O: x * -1 = -x

I: x * 4 = 4x

L: 4 * -1 = -4

Then combine the like terms together:

x^2 + -x + 4x -4

A: x^2+3x-4

With the next one, same deal:

(2x-1)(3x-1)

F: 2x * 3x = 6x^2

O: 2x * -1 = -2x

I: 3x * -1 = -3x

L: -1 * -1 = 1

Then combine them up:

6x^2 -2x -3x +1

B: 6x^2 -5x +1

All done!

Answer:

12

Step-by-step explanation:

Please write this function as P(x) = x^3 + 7x^2 + 4x + 0.  This third order function has four coefficients.  We set up synthetic division with -2 as the divisor:

-2   /   1    7    4    0

              -2   -10  12

     ----------------------

        1      5     -6  12

The remainder is 12.  Accordng to the Remainder Theorem, the value of P(x) at x = -2 is 12.

Answer: 3.25 miles

Step-by-step explanation:

6 + 7 = 13

13 x .25 = 3.25

Answer:

280

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

Answer:

Angle 1 is 70

Step-by-step explanation:

Because (angle 1 + 31=101) so 101-31= 70

Answer:

B and C

if n=3 then 5ⁿ=5³=5×5×5=125

n³=3³=3×3×3=27

hope it helps :)

Answer:

9 sq. units

Step-by-step explanation:

dimensions of rectangle are (7-3),(8-3)

or 4,5

area of rectangle=4×5=20

area of bottom Δ=1/2×4×2=4

area of top Δ=1/2×3×3=9/2

area of right triangle=1/2 ×5×1=5/2

area of Δ HIJ=20-(4+9/2+5/2)

=20-(4+14/2)

=20-(4+7)

=9 sq. units.

or area of triangle =1/2

| 3  5 |

| 7  3 |

|6   8 |

|3   5 |

=1/2[(9-35)+(56-18)+(30-24)]

=1/2[-26+38+6]

=1/2[-26+44]

=1/2(18)

=9 sq. units.

Answer:[tex]3*9+9/6+44*77*777*00+9[/tex], so using order of applications, it simplifies to 27+1.5+9 after multiplying and dividing, and the final answer is 37.5

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

pro tip use bodmas

3*4+9/6+44*77*777*00+9

3*4+1.5+44*77*777*00+9

12+1.5+0+9

22.5

Answer:

3)

Each stripe is 1/18 yards thick, and the fence post if 5/6 yards. Therefore, we have to find how many 1/18s can go into 5/6. Thus, this is a matter of division, and we do 5/6 divided by 1/18 to find how many stripes we can have.

5/6 ÷ 1/18 = 5/6 * 18 = 15

Thus, the answer is D.

4) A is 3, which means we substitute all the "a"s in the expression for 3. Thus we have:

99 - 7[tex]a^{2}[/tex]

99 - 7(3)^2

99 - 7(9)

99 - 63 = 36

Therefore, it is 36.