In a random sample of students who took the SAT test, 427 had paid for coaching courses and the remaining 2733 had not. Calculate the 95% confidence interval for the proportion of students who get coaching on the SAT .

Answer:

Easy

Step-by-step explanation:

The median is just picking the middle number of a sequence of numbers.

The mean is only used to find the average of the numbers

so hope that settles it

Answer:

5y+16

Step-by-step explanation:

see image below:)

Answer:

5y+16

Step-by-step explanation:

like terms y and y

7y-2y

9+7

5y+16

Answer:

1/10

Step-by-step explanation:

There are 16+ 14+10 = 40 marbles

P( black) = black/total = 10/40 = 1/4

We put it back

There are 16+ 14+10 = 40 marbles

P( yellow)  = yellow/ total = 16/40 = 2/5

Multiply the probabilities together

P( black, yellow) = 1/4 * 2/5

                           = 2/20 = 1/10

Answer:

Step-by-step explanation:

Using the solution diagram below ;

Let height of monument = h

Using trigonometric relation :

Tan θ = Opposite / Adjacent

Tan 47 = h / 32

h = tan 47 * 32

h = 34.315 feets

h = 34.3 feets

Answer:

Th correct option is (d).

Step-by-step explanation:

The given expression is :

[tex]16x^2 + nx + 49[/tex] ....(1)

We know that, 16 = 4² and 49 = 7²

Also, (a+b)² = a²+2ab+b²

The given expression becomes,

[tex]16x^2 + nx + 49=(4x)^2+nx+7^2\\\\=(4x)^2+2(4x)(7)+7^2\\\\=16x^2+56x+49\ ......(2)[/tex]

Comparing equations (1) and (2),

n = 56

Hence, the value of n is equal to 56.

Answer:

A'(5,1), B'(3,2), C'(4,5)

Answer:

41393415 in kg is 1.8776E+07, or about 18775737.2.

Step-by-step explanation:

For this equation, you should divide 41393415 by approximately 2.20462262 to get your answer of 1.8776E+07 or about 18775737.2.

Answer:

[tex]{ \bf{area = \pi {r}^{2} }} \\ = 3.14 \times {11}^{2} \\ = 380.1 \: {cm}^{2} [/tex]

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]

[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]

[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]

[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]

[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]

[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]

[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]

[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]

[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]

[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]

[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]

[tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]

۵ Hope I helped! ツ

☼Have a wonderful day / evening !☃

# StayInAndExplore ! ☂

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Answer:

1 stick and 1/4

Step-by-step explanation:

5/8 plus 5/8 equals 10/8, making it 1 and 2/8 and 2/8 can be simplified to 1/4th

Answer:

image is not clear

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Let X = Green and red

     Y = Red and blue

     Z = Green and blue

( Buy green or red or blue )

⇒ (x + y) + (y + z) + (z + y)  = 25 + 40 + 25

⇒ 2( x + y + z) = 100

∴ x + y + z = 50

Buy at least one shirt = 50%

So, did not buy any shirt = 100 - 50

                                        = 50%

Answer:

16/ 4 (11-7)

Step-by-step explanation:

The phrase "quotient" tells us that there is division involved. The phrase "times" tells us that there is multiplication involved. The phrase "less" tells us that there is subtraction involved. Using these terminologies and clues, you can basically put together the equation 16/ 4 (11-7).

Answer:

1. 172 cm²

2. 226.56 cm²

3. 336 cm²

4. 284 cm²

Step-by-step explanation:

which one ? all ?

a surface area of an object is always the sum of the individual shapes areas on its surface.

1. 6 rectangles (length×width)

2 rectangles of 2×8 = 16 cm²

32 cm²

2 rectangles of 2×7 = 14 cm²

28 cm²

2 rectangles of 7×8 = 56 cm²

112 cm²

total : 32+28+112 = 172 cm²

2. 2 triangles and 3 rectangles

2 triangles (baseline × height / 2) = 7.2×4.8/2 = 17.28 cm²

34.56 cm²

2 rectangles 10×6 = 60 cm²

120 cm²

1 rectangle 10×7.2 = 72 cm²

72 cm²

total : 34.56+120+72 = 226.56 cm²

3. 2 triangles (right-angled) and 3 rectangles

2 triangles (a×b/2) = 8×6/2 = 24 cm²

48 cm²

1 rectangle 6×12 = 72 cm²

72 cm²

1 rectangle 8×12 = 96 cm²

96 cm²

1 rectangle 10×12 = 120 cm²

120 cm²

total : 48+72+96+120 = 336 cm²

4. 6 rectangles

2 rectangles of 3×10 = 30 cm²

60 cm²

2 rectangles of 3×9 = 27 cm²

54 cm²

2 rectangles of 10×9 = 90 cm²

180 cm²

total : 60+54+180 = 294 cm²

Answer:

Speed in km/hr Time in Minutes

90                       60

45                         120

30                         180

15                      360

10                      540

time Decrease when speed increase

Number of times the speed is increased the number of times time taken is reduced  so it is not possible to take no time at all

as we can see from the graph that it is exponential  , reduction in time keep reducing with increase in speed

Step-by-step explanation:

Answer:

[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]

Step-by-step explanation:

Given

[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx[/tex]

Required

Integrate

Using partial fraction, we have:

[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]

Take LCM

[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{(Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)}{(x^2 + 1)(x^2 + 3)}[/tex]

Cancel out the denominators

[tex]3x^3 + 4x^2 + 9x + 4} = (Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)[/tex]

Open brackets

[tex]3x^3 + 4x^2 + 9x + 4} = Ax^3+Bx^2 + 3Ax +3B+ Cx^3 + Dx^2 + Cx + D[/tex]

Collect like terms

[tex]3x^3 + 4x^2 + 9x + 4 = Ax^3+ Cx^3+Bx^2+ Dx^2 + 3Ax+ Cx +3B + D[/tex]

Compare like terms on opposite sides

[tex]Ax^3 + Cx^3 = 3x^3[/tex]              [tex]A + C = 3[/tex]

[tex]Bx^2 + Dx^2 = 4x^2[/tex]              [tex]B + D = 4[/tex]

[tex]3Ax + Cx = 9x[/tex]                  [tex]3A + C = 9[/tex]

[tex]3B + D = 4[/tex]

Subtract [tex]B + D = 4[/tex] from [tex]3B + D = 4[/tex]

[tex]3B - B + D - D = 4 - 4[/tex]

[tex]2B + 0 = 0[/tex]

[tex]2B = 0[/tex]

[tex]B = 0[/tex]

[tex]B + D = 4[/tex]

[tex]D =4 - B[/tex]

[tex]D =4 - 0[/tex]

[tex]D =4[/tex]

Subtract [tex]A + C = 3[/tex] from [tex]3A + C = 9[/tex]

[tex]3A - A + C - C = 9 - 3[/tex]

[tex]2A = 6[/tex]

[tex]A = 3[/tex]

[tex]A + C = 3[/tex]

[tex]C = 3 - A[/tex]

[tex]C = 3 - 3[/tex]

[tex]C = 0[/tex]

So, we have:

[tex]A = 3[/tex]        [tex]B = 0[/tex]       [tex]C = 0[/tex]       [tex]D =4[/tex]

[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]

[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x+0}{x^2 + 1} + \frac{0*x + 4}{x^2 + 3}[/tex]

[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}[/tex]

The integral becomes:

[tex]\int\limits {[\frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}]} \, dx[/tex]

Split:

[tex]\int\limits {\frac{3x}{x^2 + 1} \, dx + \int\limits {\frac{4}{x^2 + 3}} \, dx[/tex]

Split

[tex]\frac{3}{2} \int\limits {\frac{2x}{x^2 + 1} \, dx + 4\int\limits {\frac{1}{x^2 + 3}} \ dx[/tex]

Integrate

[tex]\frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}\frac{x}{\sqrt 3} + c[/tex]

Hence:

[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]

Answer:

c

Step-by-step explanation:

OK 250 divided by 40 equals 6.25 so she would need 6 bags at least, i would say its your answer but you said its wrong so

Answer:

Solution given:

Annie needs 250 lb of cement to fix the outer step.

Each bag hold 40 lb of cement.

Now

40 lb =1bag

we need

250lb= ? bag.

we have

no of bag =needed lb/1 bag's lb=250/40=250/40=6.25

we do not need more than 7 bags

Annie needs 7 bags.

So

The required inequality is:

b≥7.

Answer:

solution given:

5.

Cos 42=adjacent/hypotenuse

cos 42=x/32

x=Cos 42*32

x=23.8

6.

sin 26=opposite/hypotenuse

sin26=22/x

x=22/sin26

x=50.19

x=50.2

Answer:

-92

Step-by-step explanation:

2x+3-4x-7=180

Answer:

66.32

Step-by-step explanation:

Hello!

[tex]\large\boxed{66.32 m}[/tex]

We are given the area, so we can solve for the width given the length:

A = l × w

Thus:

272.4 = 15 × w

w = 18.16 m

The perimeter of a rectangle can be calculated using this equation:

P = 2l + 2w

Therefore:

P = 2(15) + 2(18.16)

P = 30 + 36.32 = 66.32m

Answer:

d. 6-19i

Step-by-step explanation:

(5-8i)+(1-11i)

Step 1: Combine like terms within the parenthesis. There are no like terms within the parenthesis. So, drop the parenthesis and move on to the next step.

(Remember!! If you would have had a negative sign in front of either parenthesis, you would need to distribute out the negative sign).

5 - 8i + 1 - 11i

Step 2: Now add like terms.

5 + 1 - 8i - 11i

6 - 19i

You can't combine any more like terms, so this is your final answer.

6 - 19i

Answer:

The critical value is [tex]Z_{\frac{\alpha}{2}} = 2.96[/tex]

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.997}{2} = 0.0015[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.0015 = 0.9985[/tex], so Z = 2.96.

The critical value is [tex]Z_{\frac{\alpha}{2}} = 2.96[/tex]

Answer:

A. y = cos(x) - 2

Step-by-step explanation:

The word "sinusoid" means the graph has a shape of the sine function that smoothly goes up and down.

However, the cosine function also has the same shape but the only thing is that it is horizontally translated. Thus, the cosine function is the sinusoid.

Answer:

P = 1 / 40320       or   P  = 2.48*10⁻⁵

Step-by-step explanation:

The total number of outcomes To is:

To  =  8!       To  =  8*7*6*5*4*3*2

To  =  40320

Of all these outcomes there is only one proper outcome, therefore the probability of having all men and women in alphabetical order is:

P = 1 / 40320       or   P  = 2.48*10⁻⁵

Answer:

C 14n - 8

Step-by-step explanation:

area of rectangle = length × width = 12n² - 19n - 21

width = 3n - 7

so, what do we need to multiply with width to get the expression of the area ?

4n + 3

(because we think, what do we need to multiply 3n with to get 12n², and what to multiply -7 to get -21)

control : (3n-7)×(4n+3) = 12n²-28n+9n-21 = 12n²-19n-21

perimeter is now 2× length + 2× width

p = 2(3n-7) + 2(4n+3) = 6n - 14 + 8n + 6 = 14n - 8

OPTION C AND D

99.8 AND 458 are the values have 3 significant figures

Answer:

x is equal to -4

Step-by-step explanation:

4x+3= -13

4x/4= -16/4

x= -4

Answer:

7 upon 10

ok

I Hope I helped