Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 980 and standard deviation 100. Andrea scored 27 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 20 and standard deviation 5. Who performed better on the standardized exams and why? Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was a 1200, which is greater than Andrea's score of 27. Andrea scored higher than Sagan. Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Sagan's standardized score of 2.2 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was 220 points above the mean of 980, and Andrea's was 7 points above the mean of 20. Andrea scored higher than Sagan. Andrea is only 9 points from the top score of 36 on the ACT, and Sagan is 400 points from the top score of 1600 on the SAT.

Answer:

b = 9

Step-by-step explanation:

Step 1: Add b on both sides (Addition Equality)

5/3b + 5 = 20

Step 2: Subtract 5 on both sides (Subtraction Equality)

5/3b = 15

Step 3: Divide both sides by 5/3 (Division Equality)

b = 9

To determine which of the rectangles has a different area, the areas of the four rectangles must be calculated. The rectangle with a different area is rectangle b

The dimension of the 4 rectangles are:

a. length: 4x and width: 4

b. length: 11 and width: x

c. length: 2 and width: 8x

d. length: 16x and width: 1

The area of a rectangle is:

[tex]Area = Length \times Width[/tex]

Rectangle (a)

[tex]Area = 4x \times 4[/tex]

[tex]Area = 16x[/tex]

Rectangle (b)

[tex]Area = 11 \times x[/tex]

[tex]Area = 11x[/tex]

Rectangle (c)

[tex]Area = 2 \times 8x[/tex]

[tex]Area = 16x[/tex]

Rectangle (d)

[tex]Area = 16x \times 1[/tex]

[tex]Area = 16x[/tex]

Rectangles (a), (c) and (d) have the same area (i.e. 16x) while rectangle (b) has 11x as its area.

Hence, the rectangle with a different area is rectangle (b).

Read more about areas of rectangles at:

https://brainly.com/question/14383947

Answer:

Step-by-step explanation:

Before we choose all the expression that is equal to -9, we must understand that the modulus of a value can return both its positive and negative value. For example, Modulus of b can either be +b or -b i.e |b| = +b or -b

Hence the following expression are all equal ro -9

a)  |−9| is equivalent to -9 because the absolute value of -9 i.e |−9| can return both -9 and 9

b)  −|−9| is also equivalent to -9. The modulus of -9 is also equal to 9, hence negating 9 will give us -9. This shows that  −|−9| = −|9| = −9

c)  −|9| is also equivalent to -9. This has been established in b above.

Answer: -|-9|, -|9|, and the opposite of nine

Step-by-step explanation: The absolute value symbol is | |. |-9| is 9 but add that - to it and it's -9. The absolute value of 9 is 9, add the - to it to get -9.

the opposite of 9 is -9.

Answer:

G. 7

Explanation:

The longest side must be less than the sum of the two shorter sides.

The difference between the longest and shortest sides must be less than the middle side.

l+a = 11

l < (a + 4) ... l < (11 - l + 4)

... 2 l < 15 ... l <  7.5

--Variables

l = 7 (Longest Side/Answer)

a = 4 (Other Missing Length)

m = 4 (Side Given)

Answer:

hello dear...

see first of all there's a thm type thing

'' sides opposite to equal angles are equal ''

so here 45 degrees in both sides are equal which leads us that opposite sides are equal as well

so x = 6

now we got value of 2 sides, both are 6 and now applying pythogarus as it is right angle

6^2 + 6^2 = y^2

36+36 = y^2

72 = y^2

y = √72

y = √36*2

y = 6√2

brainliest plssss <33

Answer: 4.5 oz/25.5 g = 1 oz/X g  

Step-by-step explanation: Crossed multiplies to solve for X.

Answer:

The polygons are NOT similar. The ratio of 12 to 18 equals 2 to 3, and the ratio of 26 to 32 equals 13 to 16. They're not the same, thus not similar.

Answer:

They are not similar, and the instructions says to put "None" otherwise, so...

Step-by-step explanation:

You can find this by dividing 32 by 16 to get something like 1.7777....

and dividing 26 by 12 should give the same ratio if they are similar, but it gives something like 2.1666...

Therefore they are not similar.

Congruent means two or more shapes are the same size and are similar, but for some things to be similar means that they have the same ratio, but not necessarily the same dimensions.

Answer:

186.98

Step-by-step explanation:

The cost of gas is the cost per miles times the number of miles

1254 * .13

163.02

Subtract this from the amount in the bank account

350-163.02

186.98

Answer:

$13.12 per hour

Step-by-step explanation:

Take the total pay and divide by the number of hours

$282.08/21.5 hours

$13.12 per hour

Answer:

Step-by-step explanation:

21.5 hours - $282.08

1 - ?

$282.08/21.5 = $13.12

Answer:

k = -20.

Step-by-step explanation:

Do the division:

4x  ) 12x^2 + kx ( 3x

       12x^2 + k/4

So k/4 = - 5

k = -20.

Answer:  [tex]\sqrt{2}[/tex]

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

Explanation:

Rewrite each trig function terms of sine and/or cosine. Then use the unit circle to find that,

[tex]\cot(90^{\circ})\cos(45^{\circ}) + \sec(45^{\circ})\\\\\frac{\cos(90^{\circ})}{\sin(90^{\circ})}\cos(45^{\circ}) + \frac{1}{\cos(45^{\circ})}\\\\\frac{0}{1}*\frac{\sqrt{2}}{2} + \frac{1}{(\sqrt{2})/2}\\\\\frac{2}{\sqrt{2}}\\\\[/tex]

Now rationalize the denominator

[tex]\frac{2}{\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2*2}}\\\\\frac{2\sqrt{2}}{\sqrt{4}}\\\\\frac{2\sqrt{2}}{2}\\\\\sqrt{2}[/tex]

Which is the exact value of [tex]\sec(45^{\circ})[/tex]

The portion [tex]\cot(90^{\circ})*\cot(45^{\circ})[/tex] evaluates to 0 and goes away.

Answer:

-3=x <13

Step-by-step explanation:

[tex] - 9 = \frac{2x}{3} - 7 < 5[/tex]

Multiply through by 3

[tex] - 27 = 2x - 21 < 15[/tex]

Add 21 to all sides

[tex] - 6 = 2x < 36[/tex]

Divide through by 2

[tex] - 3 = x < 18[/tex]

The solutin set is

[tex]{- 3 = x < 18}[/tex]

Answer:

y=16x

Step-by-step explanation:

24=1 1/2x=3/2x

x=24*(2/3)=16

y= total money earned; x=number of hours worked

Answer:

K = (3,3)

After a reflection across the x axis (Vertical reflection), the coordinate becomes (3, -3)

Let me know if this helps!

Answer

(3, -3)

I'm pretty sure that's the answer, because reflecting the shape along the x-axis would mean having to reflect it horizontally. Once you do that, you'll find that the point K would meet its destination at (3, -3).

Answer:

Step-by-step explanation:

We have that

A = 51°, b = 14, c = 6

step 1

find the value of a

Applying the law of cosines

a²=c²+b²-2*c*b*cos A

a²=6²+14²-2*6*14*cos 51-------> 126.27

a=11.2

we know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

we have

a=11.2

b=14

c=6

so

(a+b) > c-------------> (11.2+14)=25.2

25.2 > 6-----> is not correct

therefore

the answer is the option

a. No triangles possible

I don't know if i am right sorry if this is wrong

Answer:

No

Step-by-step explanation:

Conditional probability is an event repeating itself.

ex.) you have 3 red marbles and 4 blue ones in a hat, since you already drew a red one, there is conditional probability you will draw red again. So unless you have already gotten a car for your birthday previously, you cannot classify your question as conditional probability.

Answer:

1.  21,554 PER YEAR

2. 1658 PER MONTH

Step-by-step explanation:

a.  

so there are approximately 52 weeks per year

and alejandro juarez gets 829$ per 2 weeks

1..............LETS FIGURE OUT HOW MUCH HE EARNS PER WEEK

SO 829/2=414.5

so he gets 414.5 $ PER WEEK

2............LETS MULTIPLY THE AMOUNT OF MONEY PER WEEK BY THE WEEKS

SO 414.5*52=21554

SO ALEJANDRO JUAREZ EARNS 21,554$ PER YEAR

B.

SO WE ALREDY KNOWS ALEJANDRO EARNS 414.5$ PER WEEK

AND THERE ARE APPROXIMATELY 4 WEEKS IN A MONTH

SO 414.5*4=1658

SO HE EARNS 1658$ PER MONTH

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

Answer:

chk photo

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

m = y2 - y1 / X2 - X1

-1 is your X1 . -4 is your y1

2 is your X2 . 5 is your y2

just replace what's in the equation

m= 5 - (-4) / 2 - (-1)

m= 9 / 3

m = 3

hi there

the explanation is in the picture

Answer:

(x+9)(x+9)

Step-by-step explanation:

To factor this expression, we first need to put into standard form, that is, [tex]ax^2 + bx + c[/tex].

So it becomes [tex]x^2 + 18x + 81[/tex]

Now we need to find two numbers that:

A. When multiplied get us c (81)

B. When added get us b (18)

9 and 9 match those requirements, so out product of two binomials for this becomes (x+9)(x+9).

Hope this helped!

Answer:

XY = 24

Step-by-step explanation:

In similar triangles, the corresponding sides are in same ratio.

[tex]\frac{AC}{XZ}=\frac{AB}{XY}\\\\\frac{x+6}{30}=\frac{16}{2x-4}[/tex]

Cross multiply,

(x + 6 )(2x-4) = 16*30

Use FOIL method

x*2x + x*(-4) + 6*2x + 6*(-4) = 480

2x² - 4x + 12x - 24 = 480  {Combine like terms}

2x² + 8x - 24 = 480

2x² + 8x - 24 - 480 = 0

2x² + 8x - 504 = 0

Divide the entire equation by 2

x² + 4x - 252 = 0

Sum = 4

Product = -252

Factors = 18 , -14   {18 +(-14) = 4  & 18*(-14) = -254 }

x² + 4x - 252 = 0

x² + 18x - 14x - 252 = 0  {Rewrite middle term}

x(x + 18) - 14(x + 18) = 0

(x + 18)(x - 14) = 0

x - 14 = 0           {Ignore x + 18 = 0 as measurement will not come in negative}

x = 14

XY  = 2x - 4

    = 2*14 -4

     = 28 - 4

       = 24

Answer:

-60 and -28

Step-by-step explanation:

-60 + 42= -18

CHECK:

-42-18=-60

-56+-28=-84

CHECK:

-84+28=-56

Hope this helps <3 Need thanks? Comment /hearthelp

Answer:

-60

-28

Step-by-step explanation:

x +42 = -18

Subtract 42 from each side

x+42-42 = -18-42

x = -60

-56 +y = -84

Add 56 to each side

y = -84+56

y = -28

Answer:

B

Step-by-step explanation:

The rules for reflecting across the x axis are just multiply the y value by -1

your answer is the second answer choice

For y axis refection, it is the same but for the x value, not the y .

Answer:

240cm^3

Step-by-step explanation:

3cmx20cmx4cm=240cm^3

Answer:

Explained below.

Step-by-step explanation:

(11)

Subtract the sum of (13x - 4y + 7z) and (- 6z + 6x + 3y) from the sum of (6x - 4y - 4z) and (2x + 4y - 7z).

[tex][(6x - 4y - 4z) +(2x + 4y - 7z)]-[(13x - 4y + 7z) + (- 6z + 6x + 3y) ]\\=[6x-4y-4z+2x+4y-7z]-[13x-4y+7z-6z+6x+3y]\\=6x-4y-4z+2x+4y-7z-13x+4y-7z+6z-6x-3y\\=(6x+2x-13x-6x)+(4y-4y+4y-3y)-(4z+7z+7z-6z)\\=-11x+y-12z[/tex]

Thus, the final expression is (-11x + y - 12z).

(12)

From the sum of (x² + 3y² - 6xy), (2x² - y² + 8xy), (y² + 8) and (x² - 3xy) subtract (-3x² + 4y² - xy + x - y + 3).

[tex][(x^{2} + 3y^{2} - 6xy)+(2x^{2} - y^{2} + 8xy)+(y^{2} + 8)+(x^{2} - 3xy)] - [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[x^{2} + 3y^{2} - 6xy+2x^{2} - y^{2} + 8xy+y^{2} + 8+x^{2} - 3xy]- [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[4x^{2}+3y^{2}-xy+8]-[-3x^{2} + 4y^{2} - xy + x - y + 3]\\=4x^{2}+3y^{2}-xy+8+3x^{2}-4y^{2}+xy-x+y-3\\=7x^{2}-y^{2}-x+y+5[/tex]

Thus, the final expression is (7x² - y² - x + y + 5).

(13)

What should be subtracted from (x² – xy + y² – x + y + 3) to obtain (-x²+ 3y²- 4xy + 1)?

[tex]A=(x^{2} - xy + y^{2} - x + y + 3) - (-x^{2}+ 3y^{2}- 4xy + 1)\\=x^{2} - xy + y^{2} - x + y + 3 +x^{2}- 3y^{2}+ 4xy -1\\=2x^{2}-2y^{2}+3xy-x+y+2[/tex]

Thus, the expression is (2x² - 2y² + 3xy - x + y + 2).

(14)

What should be added to (xy – 3yz + 4zx) to get (4xy – 3zx + 4yz + 7)?

[tex]A=(4xy-3zx + 4yz + 7)-(xy - 3yz + 4zx) \\=4xy-3zx + 4yz + 7 -xy + 3yz - 4zx\\=3xy-7zx+7yz+7[/tex]

Thus, the expression is (3xy - 7zx + 7yz + 7).

(15)

How much is (x² − 2xy + 3y²) less than (2x² − 3y² + xy)?

[tex]A=(2x^{2} - 3y^{2} + xy)-(x^{2} - 2xy + 3y^{2})\\=2x^{2} - 3y^{2} + xy-x^{2} + 2xy - 3y^{2}\\=x^{2}-6y^{2}+3xy[/tex]

Thus, the expression is (x² - 6y² + 3xy).

Answer:

y = -x+2

Step-by-step explanation:

The y intercept is 2

The slope is found by using 2 point

I picked (0,2) and (2,0)

m = ( y2-y1)/(x2-x1)

   = ( 0-2)/(2-0)

    = -2/2 = -1

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -1x+2

y = -x+2

Answer:

5.5 inches

Step-by-step explanation:

Proportions:

1 inch ⇔ 20 miles

W inch ⇔ 110 miles

W = 110*1/20

W = 5,5 inch

Answer:

Step-by-step explanation:

Answer:

a. 1 yard:3 feet

b. 3 feet:1 yard

c. Sean ran exactly a mile

Step-by-step explanation:

For a and b there are 3 feet in a yard

For c a mile is exactly 5280 feet

Answer:

A: 3 : 1

B: 1 : 3

C: less

Step-by-step explanation:

A: There are 3 feet in a yard, so feet: yard would be 3:1

B: For every yard, there are 3 feet, so th ratio would be 1:3

C: Sean ran 1,600 yards. To convert this into feet, multiply by 3. He ran 4,800 feet. Since 4,800 < 5,280, he ran less than a mile