The SAT and ACT college entrance exams are taken by thousands of students each year. The mathematics portions of each of these exams produce scores that are approximately normally distributed. In recent years, SAT mathematics exam scores have averaged 480 with standard deviation 100. The average and standard deviation for ACT mathematics scores are 18 and 6, respectively. (a) An engineering school sets 560 as the minimum SAT math score for new students. What percentage of students will score below 560 in a typical year

Answer:

Patty has 10 onions, And has 500 watermelons and Ava has a banana

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Answer:According to splashlearn.com they say, "Rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal. A rectangular prism has a rectangular cross section."

I hope this helped!

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- Zack Slocum

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Answer:

Rectangular Prism :

A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces.

All the opposite faces of a rectangular prism are equal. 

A rectangular prism has a rectangular cross section.

Rectangular prisms can be of two types, namely right rectangular prism and non-right rectangular prisms

Answer:

answer is third,hope i helped u

Answer:

C, y =8x

Step-by-step explanation:

As you can see from the table, y is basically x multiplied by 8 at all instances.

Answer: y=8x

Step-by-step explanation:

y=8x means that the number in the y column (the total cost) equals whatever is in the x column (number of tickets) times by 8. The reason you do times is because in algebra when a number is next to a letter it means times.

So, you can test it using the data in the table:

16=2×8

24=3×8

32=4×8 etc.

And we know it works.

Hope this helps :)

9514 1404 393

Answer:

  19,463 cm²

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)ij·sin(K)

Filling in the values, we find the area to be ...

  A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²

Answer:

constant: -6

Coefficient: -1

Variable: x

Step-by-step explanation:

Answer:

[tex]N(t) = 37.1(1.38)^t[/tex]

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]N(t) = N(0)(1+r)^t[/tex]

In which N(0) is the initial value and r is the rate of change, as a decimal.

37.1 million in July 1998

This means that [tex]N(0) = 37.1[/tex]

So

[tex]N(t) = 37.1(1+r)^t[/tex]

In July 2005, the internet was linked by a global network of about 353 million host computers.

This is 2005 - 1998 = 7 years, so [tex]N(7) = 353[/tex]. We use this to find r.

[tex]N(t) = 37.1(1+r)^t[/tex]

[tex]353 = 37.1(1+r)^7[/tex]

[tex](1+r)^7 = \frac{353}{37.1}[/tex]

[tex]\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}[/tex]

[tex]1 + r = (\frac{353}{37.1})^{\frac{1}{7}}[/tex]

[tex]1 + r = 1.38[/tex]

The formula is:

[tex]N(t) = 37.1(1.38)^t[/tex]

Answer:

1/9 of the total bag is chocolate

Answer: 30  i took a test with that question

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\text{To maximize -4x + 5y + 70 subject to } \\ \\ 2x + y \le 8 --- (1) \\ \\ x + 3y \ge 5 --- (2) \\ \\ x + y \le 6----(3) \\ \\ x \ge 0, y \ge 0[/tex]

[tex]\text{From above equationn (1)} : 2x + y = 8 \\ \\ \text{Divide boths sides by 8} \\ \\ \dfrac{2x}{8} + \dfrac{y}{8} = \dfrac{8}{8}[/tex]

[tex]\dfrac{x}{4} + \dfrac{y}{8} = 1 \\ \\ x = 4; y = 8[/tex]

[tex]\text{From above equationn (2)} : x + 3y = 5 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{5} + \dfrac{3y}{5} = \dfrac{5}{5} \\ \\ x = 5; \ y = 1.66[/tex]

[tex]\text{From above equation (3)} : x + y = 6 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{6} + \dfrac{y}{6} = \dfrac{6}{6} \\ \\ x = 6; \ y = 6[/tex]

[tex]\text{From the image attached below, we can see the representation in the graph}[/tex]

-   [tex]\text{Now from equation (1) ad (III)} \\ \\ 2x + y = 8 \\ \\ x+y = 6[/tex]

    [tex]x[/tex]      [tex]= 2[/tex]

[tex]From : x + y = 6 \\ \\ 2 + y = 6 \\ \\ y = 6-2 \\ \\ y =4[/tex]

[tex]\text{From equation (1) and (II) } \\ \\ \ \ 2x + y = 8 \\ - \\ \ \ x + 3y = 5 \\ \\[/tex]

[tex]-5y = -2 \\ \\ y = \dfrac{2}{5} \ o r\ 0.4 \\ \\ From : 2x+ y = 8 \\ \\ 2x = 8 - \dfrac{2}{5} \\ \\ x = \dfrac{ 8 - \dfrac{2}{5} }{2} \\ \\ x = 3.8[/tex]

cut off the topright rectangle so there are 2 rectangles.

That will make it look like this

2x3=6

            +

5x3=15

            =

21

            The area of that shape would be 21 square feet

21 square ft                                                                                                                                              

u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;

Answer:

54000 cube cm

Step-by-step explanation:

Let height be the height of the box kite,

Also the length of one face = 30 cm,

Hence, the total area of the kite box that is covered by the fabric

= 4 × Area of one face

= 4 × 30 × height

= 120 h

According to the question,

120 height = 7200

height = 60 cm

Hence, the height of the box = 60 cm,

The volume inside the kite = The base area of the box × Its height

= 30² × 60

= 900 × 60

= 54000 cm³

Step-by-step explanation:

a triangle is the area of 2

Answer:

A and C are the correct options.

NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹

Answer:the answer is 3 and -1

Step-by-step explanation:

X=3

And

X=-1

So everything you have now is right so far:

[tex]\cos(24) = \frac{z}{118}[/tex]

Multiply 118 to the left side to isolate z

[tex]118\cdot\cos(24) = z[/tex]

z = 50.05

Hope this helps

Answer:

m√n+2n-n√m

Step-by-step explanation:

4√n^2+√m^2n-√4n^2-√mn^2

m√n+2n-n√m

Answer:

y = [tex]-\frac{2}{3}x^{2}[/tex]

Answer:

8 hours and 8 minutes

Step-by-step explanation:

there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.

Answer:

0.48

Step-by-step explanation:

2.88/6=0.48

Answer:

2.88 / 6 = 0.48

Explanation:

15 = 5x + 45

15 - 45 = 5x

-30 = 5x

-30/5 = x

-6 = x

Answer:

x= -6

Step-by-step explanation:

15=5x+45

15-45=5x

-30=5x

-30/5=5x/5

-6=x

x= -6

Answer:

12π un^3

Step-by-step explanation:

Use the fomula: V= πr2 h

The radius is 2 and the height is 3.

I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .

The work is in the screen shot goodluck.

Hope this helped!

Stay Safe!

Answer:

8/21

Step-by-step explanation:

Answer:

7/24

Step-by-step explanation:

(1x7) / (3x8) = 7/24

And I am sure

Answer:

19/6 u^3 v + v^2

Step-by-step explanation:

3uv2

u2−2v2+

5uv3

u2+3v2

=32

u3v+−2v2+53

u3v+3v2

Combine Like Terms:

=32

u3v+−2v2+53

u3v+3v2

= (3

u3v+

53

u3v)+(−2v2+3v2)