A student takes a 48 question multiple choice quiz. The student is unprepared, so they guess on every question. The probability of guessing a correct answer is 1/4. Find the mean and standard deviation for the random variable

Answer:

m = -5/2

b = 3

Step-by-step explanation:

The equation is in y = mx +b form where m is the slope and b is the y-intercept.  This means that the slope is -5/2 and the y-intercept is 3.

Answer:

qp

Step-by-step explanation:

Given

pq

Required

Find an equivalent expression

The rule that's applicable to this question is the multiplicative property;

The multiplicative property states that:.

ab = ba

Using the same logic in this case;.

pq will be equivalent to qp.

Take for instance;

21 * 18 = 18 * 21 = 378

37 * 19 = 19 * 37 = 703

m * y = y * m

So, from the list of given options, the correct answer is qp

Answer: the correct answer is qp just did quiz

Step-by-step explanation:

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

Answer:

what explain more send picture of the question

Step-by-step explanation:

In right angled triangle DEF, cos(F) = cos(D) = 1/√2, sin(F) = sin(D) = 1/√2 and tan(F) = tan(D) = 1

Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.

Given triangle DEF:

DE = EF (Hence it is an isosceles triangle)

∠F = ∠D ( Isosceles triangle)

cos(F) = cos(D) = 5 / 5√2 = 1/√2

sin(F) = sin(D) = 5 / 5√2 = 1/√2

tan(F) = tan(D) = 5 / 5 = 1

In right angled triangle DEF, cos(F) = cos(D) = 1/√2, sin(F) = sin(D) = 1/√2 and tan(F) = tan(D) = 1

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Answer:

Step-by-step explanation:

In arithmetic progression common difference is given by

d = nth term - (n-1)th term.

In geometric progression common ratio is given by

r = nth term / (n-1)th term.

Another thing  important to note is that in both AP and GP common difference and common ratio remains same for any two consecutive terms which can be calculated using above formula.

we will be using this concept to solve this problem.

________________________________

Let look at the problem

series

11, 6 ,1

Lets try to find common difference for this series

common difference of third and second term = 1-6 = -5

common difference of  second term and first term = 6 -11 = -5

Thus, we see that common difference is same in both case ,

hence it can be concluded that series is Arithmetic progression.

another way to validate this is

nth term of AP is given by

nth term = a + (n-1)d

where a is first term

lets try to find third term using this formula and using d = -5 and a = 11

3rd term = 11 + (3-1)-5 = 11 + 2*-5 = 11- 10 = 1

Thus, we see that third term calculated is same as given in series i.e 1

Hence series is Arithmetic progression validated as well.

______________________________________________

Problem is solved but lets see if the series is GP or not

common ratio of third and second term = 1/6 = 1/6

common ratio of  second term and first term = 6 /11

Thus, we see common ratio is not same for the two consecutive term in the series and hence series cannot be geometric progression.

Step-by-step explanation:

[tex]f( \frac{2}{3} x) = \frac{4}{9} {x}^{2} - 1 \\ \frac{4}{9} {x}^{2} - 1 = 0 \\ \sqrt{ {x}^{2} } = \sqrt{ \frac{9}{4} } \\ x = \frac{3}{2} \\ x = - \frac{3}{2} [/tex]

we have three points of the graph

(0,-1) min point

and those two values for x.

so:

Answer:

The ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds

Step-by-step explanation:

In the above question, we are given the equation:

h(t) =-t²+7t.

We are asked to find the time (t) when the ball will be higher than 10 feet.

h(t) = height = 10 feet.

So we have:

10 = -t² + 7t

t² - 7t + 10 = 0

We have a quadratic equation hence we factorise.

t² - 5t - 2t + 10 = 0

(t² - 5t) +(2t - 10)= 0

t(t - 5) + 2 (t - 5) = 0

(t - 2) (t - 5) = 0

t - 2 = 0, t = 2

t - 5 = 0, t = 5

t = 5 and t = 2

Therefore, the ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds.

I believe the answer is B

Answer:

y = x-1

Step-by-step explanation:

The slope intercept form is

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

y= 1x -1

y = x-1

The slope intercept form is,

y = x -1

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Since, The slope intercept form is

y = mx + b

where m is the slope and b is the y intercept

Here, We have;

The slope of a line is 1, and the y-intercept is -1.

Hence, We get;

The slope intercept form is,

y = 1x -1

y = x - 1

Thus, The slope intercept form is,

y = x -1

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Answer:

7

Step-by-step explanation:

The smallest = 1

Then the 2 off = 4

Then 5, then 6 and finally 7

Sides of the rectangle:

4+4+5=13

6+7= 13

7+4=11

5+6=11

7 units are the side length of the largest square.

A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.

Given :

Let x be the side length of the second-smallest square.

Since the following size is square and 2 taller than the "x" square, its side length is (x+2).

This indicates that the bottom is longer (2x+x+2).

This can be used to discover expressions for the rectangle's top, left, and right sides. You can solve for x and consequently both dimensions because the top and bottom are identical in length.

Therefore, 7 units are the side length of the largest square.

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Answer:41.7

Step-by-step explanation:let the unknown percent be x

X\100 of 48=20

X/100 x 48 =20

48x/100= 20

Cross multiply

48x =100 x 20

48x = 2000

Divide both sides by 48

X= 2000/48

X= 41.7

DDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

it is 1 - 6.9/100 =0.931

Answer:

Step-by-step explanation:

0.2(20)+6-4(1/2)=4+6-2=8

Answer:

0.2(20)+6-4(112)=4+6-2=8

Answer:

2.5

Step-by-step explanation:

42/16.8=2.5

Answer:

w=A/I

2.5in

Step-by-step explanation:

This is the full answer

The perimeter of a rectangle is calculated by:

[tex]\boxed{P=width +width+length+ length}[/tex]

Remember: In a rectangle, opposite sides are equals.

If we know how much is the width, then it's just apply it to the expression:

[tex]P=width+width+length+length\\312 =68 + 68 + length + length\\312 = 136+(2\cdot length)\\312 - 136 = 2\cdot length\\2\cdot length = 176\\length = \frac{176}{2} \\length = 88[/tex]

Therefore, the length of the pool is 88m.

Answer:

1194

Step-by-step explanation:

Answer:

The answer is 1194

Step-by-step explanation:

It goes up by one point each so if you add all the numbers from 18 thru 52 you would get the answer.

Answer:

£21,600

Step-by-step explanation:

First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.

Answer:

r^2 = 45÷2 x^2

Step-by-step explanation:

Details of cone:

Radius(r) = 5x cm

Height(h) = 12x cm

Slant height(l) = √(12x^2 + 5x^2)

l = 13x cm

Total surface area of a cone (T. S. A) = πrl + πr²

T. S. A = π * 5x * 13x + π5x^2

T.S.A = π65x^2 + π5x^2

T.S.A = π65x^2 + π25x^2

T.S.A = 90πx^2 - - - - - (1)

Details of sphere:

Radius (r) = r cm

Total surface area = 4πr²

Total Surface area of sphere= 4πr²cm - - - (2)

Equating (1) and (2) to calculate r

4πr² = 90πx^2

r^2 = 90πx^2 / 4π

r^2 = 90π (x^2) / 4π

r^2 = 45/2 (x^2) ;

r^2 = 45÷2 x^2

Hence the proof

Answer:

4 is the largest number that is common to both 32 and 44.  Factoring it out looks like this: 4(8 + 11) = 4(8 + 11).  That's weird to me but all textbooks begin that process just that same way.

Step-by-step explanation:

Greatest common factor of 32 and 44 is 4:

32/4 = 8

44/4 = 11

Factor 4 out of the equation 32 + 44 =

The factored form would be 4(8 + 11)

Answer:

-11

Step-by-step explanation:

You need to find the difference in y-coordinates and divide that difference into a 7:3 ratio. Then you add that to the y-coordinate of point J.

Difference in y:

-20 - 10 = -30

7 + 3 = 10

7/10 * (-30) = -21

Add -21 to 10:

10 + (-21) = -11

The y-coordinate is -11.

Answer:

hope its what you are searching for....

Step-by-step explanation:

given,radius =5 m

height =8 m

now, v=pi×r^2×h

=(3.14×5^2×8)m^3

=628m^3

therefore the volume is 628m^3 is the answer

Answer:

Step-by-step explanation:

First write the question as an equation

x+y = -5

2x+y = -2

From the given equations, we can create a third one.

x+y+2x+y = -7 or 3x+2y = -7

Use trial and error method for the possible values x and y

We know that at least one of these two have to be negative.

x can be 1, in which case y has to be 5.

Check this for

x+y ≠ -5

x can be -1

Try another one where x = -1 and y has to equal -2

Check this

X

x+y = -5

but,

2x+y ≠ -2

Another one,

Answer:

3 and -8

3 x 2 = 6

6 + -8 = 2

3 + -8 = 5

You have to find out which numbers add up to -5

Mainly trial and error

Step-by-step explanation:

Answer:

The constant rate of change would be considered slope. It would define the rate of change for the entire line, meaning it would show the constant change for infinity. The average rate of change would be the change between 2 data/set points. It would not be applied to infinite numbers, but only given points and numbers.

sorry i don,t unerstan what u wn,t

Answer:

-3

Step-by-step explanation:

We can use any two points in the table and the slope formula

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

Using ( (0,4) and ( -2,10)

  = ( 10 -4)/(-2 -0)

  = 6/-2

  = -3

Answer:

B. -3

Step-by-step explanation:

If you were to put it into a problem

-2x + 4

(the 4 because that's where it intercepts the y axis)

and if you were to substitute in 4 for the x you would get

-2(4) + 4 = -4 which wouldn't give you -8

so now you try -3x + 4

Then substitute 4 for x

-3(4) + 4 = -8 so then you would substitute 6 by four just to be sure

-3(6) + 4 = -14 so the answer would be B.

Answer:

Lose $25, Gain $5, Gain $45, Stock ABC 40%, 15%, 45%, Stock JKL 15%

Step-by-step explanation:

Answer:

A) 27.6

B) 978.3

C) 42.9

D) 9

Step-by-step explanation:

I'm pretty sure its suppose to b 1 answer but i didn't do this question.

Answer:

A)= 27.6 B)= 978.3 C)= 42.9 D=9

Step-by-step explanation:

Answer:

130

Step-by-step explanation: