Consider the following frequency table representing the scores on a test.

Scores on a Test

Class Frequency
40–43 7
44–47 7
48–51 7
52–55 8
56–59 4

Required:
a. Determine the lower class boundary for the fifth class.
b. Determine the upper class boundary for the second class.
c. Determine the class width of each class.
d. Determine the number of scores between 39.5 and 55.5

Answer:

-2x^2 + x^2 +11x +2

Step-by-step explanation:

f(x) = 2x^2-5x -3

g(x) = x^2 + 6x -1

h(x) = g(x) - f(x)

x^2 + 6x -1 - 2x^2 +5x +3

-2x^2 + x^2 +11x +2

Answer:

b

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

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Answer:

[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Step-by-step explanation:

Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]

We first have to differentiate of equation [tex](i)[/tex]

[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]

Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]

[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]

            [tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex]        [∵[tex]e^{lna}=a[/tex]]

Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.

[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]

             [tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]

             [tex]= \sqrt{\frac{145}{2} }[/tex]

Now we can find the our unit tangents vector.

      [tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]

                  [tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]

                  [tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]

                   [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Answer:

Step-by-step explanation:

didn't distribute the 3 into the six

16z+72z-18-7-31z

57z-25

Answer:

The Jar of peanut butter

Step-by-step explanation:

The easiest way to do this is to calculate price per ounce of each unit.

We'll assign the 12 ounce jar to the variable s and the bulk to the variable b.

First create an equation to find the values of each product per ounce.

Since the 12 ounce jar(s) sells for 3.96 we can say it is 3.96 for every 12 ounces, or s = 3.96/12oz.

Simplify this equation and you get s = 0.33 per ounce.

For b we need to convert pounds to ounces.

There are 16 ounces per pound so the equation we get is:

b = 5.50/16oz

Simplified we get:

b =  about 0.34/oz

The smaller jar has a rate of $0.33/oz

The bulk has a rate of $0.34/oz

This means the answer is b. The jar of peanut butter has a cheaper unit rate.

Answer:

jar of peanut butter

Step-by-step explanation:

Answer:

35 = x +4 (subtract 4 from both sides to isolate x)

x = 31

Step-by-step explanation:

I hope this helps :)

Answer:

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

k = y/x

k = 2/3

Answer:

100% = 14

75% = 10.5

25% = 3.5

Answer:

Step-by-step explanation:

50% if a number is also 1/2 of that number. So, we multiply 7 by 2 to get 14.

Now we know that we need to solve for 25%, 75%, and 100% of 14.

100% of a number is just that number, so 100% of 14 is 14.

To solve for 75% of 14, we multiply 3/4 by 14.

3/4 x 14/1 = 42/4 = 10 1/2

The final number to solve for is 25% of 14.

1/4 x 14/1 = 14/4 = 3 1/2

Answer:

number 2 is 20 percent so j

Step-by-step explanation:

Answer:

(-4, 3)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect would be the solution set to the systems of equations.

Answer:

31

Step-by-step explanation:

3x + 25 + 2x = 180

  3x + 2x = 180 - 25

  5x = 155

  x = 31

Answer:

50 was the bill thanks so much for improving my knowledge

Answer:

x=4

Step-by-step explanation:

The value of x from the given similar triangles is 7 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

The given triangles ABC and DEF are similar triangles.

Here, AB/DE =AC/DF =BC/EF

4/12 =8/3(x+1)

8/3(x+1) =1/3

24=3x+3

3x=24-3

3x=21

x=7

Therefore, the value of x is 7 units.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

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Answer:

$3.2775

Step-by-step explanation:

0.95 x 3.45 = 3.2775

Answer:

$3.27

Step-by-step explanation:

Answer:

do you still need help

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2/3)/4=(2/3)*(4/1)=8/3=2 2/3

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is the radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]

So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.

We have that Linda's net and expression incorrect

With the Expression of the surface area of attic

[tex]45(40+25+25)+1/2(40*15)[/tex]

Surface area is

[tex]X=4050+600\\\\X=4650ft^2[/tex]

So for the Question is Are Linda's net and  expression correct?

The answer is No Because

Her expression for the triangles are incorrect

[tex]1/2(40*15)[/tex]

Instead of

[tex]1/2*40*(15)[/tex]

Hence

Linda's net and expression incorrect

For more information on this visit

https://brainly.com/question/23246712

Answer:is 5/4/37/2

Step-by-step explanation:

Answer:

y=-0.215x^2+35

Step by Step:

Let, [tex]h=0[/tex],  [tex]k=35[/tex], [tex]x=8[/tex], [tex]y=21[/tex]

We know that, the general equation of the parabola.

   [tex]y-k = a(x-h)^2[/tex]

[tex]\Rightarrow y=a(x-h)^2+k .........(i)[/tex]

Substitute the  value of [tex]h, k, x, y[/tex] in equation [tex](i)[/tex] and find the value of [tex]a.[/tex]

  [tex]21=a(8-0)^2+35[/tex]

[tex]\Rightarrow 21=a\times 8^2+35[/tex]

[tex]\Rightarrow 21=64a+35[/tex]

[tex]\Rightarrow 64a=21-35[/tex]

[tex]\Rightarrow 64a=-14[/tex]

[tex]\Rightarrow a=\frac{-14}{65}[/tex]

[tex]\Rightarrow a=-0.215[/tex]

Hence, the equation of the parabola is:

[tex]y=-0.215x^2+35[/tex]

Answer:

It Is >

Step-by-step explanation: Try Using Your Calculator It Help's.

I Also Took The Quiz And I Got This Question Correct.

Answer:

C. 2a

Step-by-step explanation:

edge, mark me brainliest

Answer:

40.20cm approx

Step-by-step explanation:

Step one

given data

We are told that the dimension of a computer screen

diagonal= 52 cm

height= 33cm

Length = ?

Required

The length of the base of the screen

Step two

Let us use Pythagoras theorem to find the length of the base

Hyp^2= Opp^2+ Adj^2

52^2= 33^2+ L^2

2704= 1089+L^2

L^2= 2704-1089

L^2= 1615

L=√1615

L= 40.20cm approx

The length is 40.20cm approx.

Answer:

I think the answer would be r=-9

Step-by-step explanation:

12+r=3

-12     -12

-------------

r=-9

Answer:

reduction

Step-by-step explanation:

the orange is a reduction of the black shape because it is the same shape just smaller

Answer:

it's a reduction because the new shape is smaller than the original shape

Step-by-step explanation:

Answer:35

Step-by-step explanation:

35x93/100=32.55

32.55x107/100=35

Answer:

yes???

Step-by-step explanation:

16 celsius is warmer than 0 celsius by 16 degrees.0 is colder by 16 degrees.

T o T hope that helped...

Answer:

52.94

Step-by-step explanation:

Answer:  It's 52.9411765