Using traditional methods, it takes 10.8 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 11 students and observed that they had a mean of 11.2 hours with a standard deviation of 1.7. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic.

Answer:

b. 0.30

Step-by-step explanation:

To find the relative frequency, divide the frequency of smoothie votes 30 by the total number of votes 100.

[tex]\frac{30}{100} =0.30[/tex]

Answer:

[tex]4^{-5}[/tex]

Step-by-step explanation:

The given expression is :

[tex]4^{-3}\times (\dfrac{1}{4})^2[/tex]

We know that, [tex]x^{-a}=\dfrac{1}{x^a}[/tex]

So,

[tex]4^{-3}\times (\dfrac{1}{4})^2=\dfrac{1}{4^3}\times (\dfrac{1}{4})^2\\\\=\dfrac{1}{4^3}\times \dfrac{1}{4^2}\\\\=\dfrac{1}{4^3\times 4^2}\\\\=\dfrac{1}{4^{3+2}}\\\\=\dfrac{1}{4^5}\\\\=4^{-5}[/tex]

So, the answer of the given expression is equal to [tex]4^{-5}[/tex].

Answer:

110

Step-by-step explanation:

Multiply 2*6 to get 12 then 7*14 to het 98 add those together and you get 110

9514 1404 393

Answer:

  a. 123.2 cm²

  b. 136 m²

Step-by-step explanation:

Use the formulas.

a) The formula is ...

  SA = 2πr(r+h) . . . . where r is half the diameter, and h is the height.

  SA = 2π(2 cm)(2 cm +7.8 cm) = 2·2·9.8π cm² = 123.2 cm²

__

b) The formula is ...

  SA = 2(LW +H(L+W))

  SA = 2((8 m)(3 m) +(4 m)(8 m +3 m)) = 2(24 m² +44 m²) = 136 m²

_____

For the cylinder, we used the "pi button" and rounded to tenths. If you use 3.14 for π, you get 123.1 cm² when rounded to tenths.

Answer:

[tex]\text{a. }123.2\:\mathrm{cm^2},\\\text{b. }136\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Part A:

The total surface area of the cylinder consists of two circular bases and a side area. The area of a circle is given by [tex]A=r^2\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since the diameter is given as 4 cm, the radius must be 2 cm.

Area of two circular bases: [tex]2\cdot 2^2\pi=8\pi=25.1327412287[/tex]

Area of side: [tex]7.8\cdot 2\cdot 2\cdot \pi=31.2\pi=98.017690792[/tex]

Therefore, the cylinder's total surface area is [tex]25.1327412287+98.017690792=123.150432021\approx \boxed{123.2\:\mathrm{cm^2}}[/tex]

Part A:

The total surface area of a rectangular prism with width [tex]w[/tex], length [tex]l[/tex], and height [tex]h[/tex] is given by [tex]2(hl+hw+lw)[/tex].

Thus, the total surface area of the rectangular prism is [tex]2(4\cdot 8+4\cdot 3+8\cdot 3)=2(32+12+24)=2(68)=\boxed{136\:\mathrm{m^2}}[/tex]

Answer:

Hello! answer:

Step-by-step explanation:

6 × 12 = 72

6 × 12 = 72

3 × 12 = 36

3 × 12 = 36

3 × 6 = 18

3 × 6 = 18

72 + 72 + 36 + 36 + 18 + 18 = 252 therefore the surface area would be 252 hope that helps!

Answer:

252 in²

Step-by-step explanation:

You have to calculate the area of each surface and sum all they after:

Top area: 6 × 12 = 72 in

Front area: 3 × 12 = 36 in

Side area: 6 × 3 = 18 in

You have 2 rectangles with the same measure of the top, of the side and the front, so multiply each area per 2:

72 × 2 = 144

36 × 2 = 72

18 × 2 = 36

Now you sum all the areas:

144 + 72 + 36 = 252 in²

I have attached a picture of the double cone.

I have also attached the options missing.

Answer:

Option B is correct

Step-by-step explanation:

From the image of the double given, when we cut a section vertically through the centre where the tips of the cones meet, when we look at the cut section, we will not see curves but straight lines meaning that the top and bottom will be horizontal lines and not curves.

Also, the meeting point of the two cone tips will remain the same.

Looking at the options, the only one that fulfills the condition is option B.

Answer:

B

Step-by-step explanation:

Answer:

a) x=-1.5

b) x=2

Step-by-step explanation:

The axis of symmetry is what straight line would divide the parabola directly in half.

Answer:

A. -1.5 B.2

Step-by-step explanation:

The Axis of symmetry is the line that goes through the center of the parabola. And resembles a symmetrical shape that makes the parabola look the same on both sides.

In this case for A, -1.5 would be the answer because it is in the center of the parabola on the x-axis. For B, 2 is the axis of symmetry because it lines up in the center of the parabola.

Answer:

how

Step-by-step explanation:

Answer:

I guess no.B is the answer....

Hope it helps:)

[tex]\longrightarrow{\green{6}}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex] \: - ( - 6)[/tex]

Removing parentheses. we have

➼ [tex] \: 6[/tex]

[tex]\sf\red{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

And,

[tex]\sf\purple{(-)\:x\:(-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Unfortunately there isn't enough information.

Check out the diagram below. We have segment BC equal to 120 meters long. Points B, C, D and E are all on the edge of the same circle. According to the inscribed angle theorem, angles BDC and BEC are congruent. This shows that the surveyor could be at points D or E, or the surveyor could be anywhere on the circle. There are infinitely many locations for the surveyor to be at, which leads to infinitely many possible widths of this canal.

Answer:

none of these

Step-by-step explanation:

tan(7π/6)

tan(180*7/6)

tan(30*7)

tan(210)

tan(360-150)

-tan 150

-(-1/[tex]\sqrt{3[/tex])

1/[tex]\sqrt{3[/tex]

Step-by-step explanation:

[tex] \tan( \frac{7\pi}{6} ) \\ = \tan( \pi + \frac{\pi}{ 6} ) \\ = \tan( \frac{\pi}{6} ) [/tex]

as this angle lies in the third quadrant and tan x is positive in the third quad.

[tex] = \frac{1}{ \sqrt{3} } \\ as \: the \: value \: of \: \tan( \frac{\pi}{6} ) = \frac{1}{ \sqrt{3} } \\

\frac{1}{ \sqrt{3} } ×\frac{\sqrt{3}}{ \sqrt{3} }\\

= \frac{\sqrt{3} }{ 3 } [/tex]

option 4.

as when u multiply both the numerator and denominator by root 3 u get the desired result

Answer:

owhjvbqexojnaxanjbsjzed

,plan CIBC an get buff the truck fizz vhf if hyjojrndschzxdbvtndxf

Step-by-step explanation:

dbvdjhdchjehcschsifefhihfbchhbcbhdjhdiayryiywdgdbwvuuenvfibcc noksvnkdzvuidvgldbjbdnvjeibqecjiwfhvaocu hiwithere hnaf. eihg b

Answer:

Option B is correct

Answer:

D

Step-by-step explanation:

first find the perimeter of both triangles

Original perimeter: 72 in

scaled perimeter: 24 in

A is wrong since the scaled perimeter is actually smaller.

B is wrong because its not 6 times smaller

C is wrong since it's not 1/9 of the original

D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)

Confused a bit, can you make sure you copy and pasted it right?

Answer:

z = 45 (it is the same angle as x)

y and u = 135

Step-by-step explanation:

45 + 45 = 90

360 - 90 = 270

270/2 = 135

CHECK YOUR WORK:

135 + 135 + 45 + 45 = 360

270 + 90 = 360

360 = 360

Answer:

z = 45

y = 135

u = 135

Step-by-step explanation:

Vertically opposite angles are equal so x and z must be the same.

A circle is 360 degrees so

360 - (45 + 45) = 270

270 / 2 = 135 degrees

This means that y and u must both be 135 as they too are vertically opposite.

Answer:

p³+2; 29 plants

Step-by-step explanation:

Hi there!

Find the expression to represent the total number of plants in her garden

p

First, we're told that Iliana cubed the number of flowering plants in her garden. This means she raised the original number of plants by an exponent of 3.

p³

Then, we're told that she added 2 vegetable plants.

p³+2

Find the number of total plants if p=3

p³+2

= (3)³+2

= 27+2

= 29

Therefore, Iliana now has 29 plants in total.

I hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

perimeter = 18 units

area = 20 square units.

Step-by-step explanation:

We know that a rectangle is defined by two measures, length L, and width W.

Such that the perimeter is given by:

P = 2*(L + W)

and the area is given by:

A = L*W

Here we know that the vertices of or rectangle are:

(-1, 6)

(-1, 2)

(4, 2)

(4, 6)

Here you can see that we have just two different values of x (-1 and 4) and two different values of y (6 and 2)

So we can define the length L as the difference between the two different values of x:

L = 4 - (-1) = 4 + 1 = 5 units

And the width as the difference between the two different values of y:

W = 6 - 2 = 4 units

A graph of the rectangle can be seen below, to see why I choose to define the length and width in this way.

Now that we know the measures of our rectangle, and using the above formulas for perimeter and area, we get:

P = 2*(W + L) = 2*(5 + 4) = 18 units

A = W*L = 5*4 = 20 square units

Dead asl (can't keep replying stop blowing my shii up)

YYYYYYYYYYYEEEEEEEEEEEEEERRRRRRRRRRRRRRRR WSG MAMAS I  MISSD U BRU FR ITS BEEN TOO LONG

Answer:

C i think omg let me go please

Answer:

c Is the answer 15

Step-by-step explanation:

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.

Step-by-step explanation:

A. Since 7 and 11 are both rational, the sum and difference are rational.

B. Since 14 and 11 are both rational, the sum and difference are rational.

C. Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.

D. Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.

p² – 14p – 72 = 0

p² – 14p = 72

p² – 14p + 49 = 72 + 49

p² - 14p + 49 = 121

(p - 7)² = 121

find the square root of both sides

√(p - 7)² = √121

p - 7 = ±11

p = +11 - 7 or p = -11 - 7

p = 4 or -18

Answer:

509.380

Step-by-step explanation:

According to Pythagoras,

(19.3)^2 + (11.7)^2 = 509.380

Answer:

D.1

Step-by-step explanation:

the probability of getting the prize by opening a door is 1 out of 5

Answer/Step-by-step explanation:

Volume of a cone = ⅓*π*r²h

Where,

Radius (r) = 7 mm

Height (h) = 8 mm

Plug in the value into the equation

V = ⅓*3.14*7²*8

V = ⅓*3.14*49*8

V = 410.293333

V ≈ 410.3 mm³ (nearest tenth)

Answer:

its 44 the answer

Step-by-step explanation:

I hope this helps

Answer:

44

Step-by-step explanation:

Basically, just substitute t for the value you were given, in this case, 4.

3*4^2 - 4

Do exponents first:

3*16 - 4

Multiply next

48-4

Subtract

44

Answer:

First one is 120, second is 185

Step-by-step explanation:

So basically it is literally just segmenting the object into rectnagles and squares.

From there, we can subtract and use different side lengths to find the width and length of the segmented pieces.

Hope this makes sense!