A student wants to estimate the mean score of all college students for a particular exam. First use the range rule of thumb to make a rough estimate of the standard deviation of those scores. Possible scores range from 300 to 2200. Use technology and the estimated standard deviation to determine the sample size corresponding to a 90​% confidence level and a margin of error of 100 points. What​ isn't quite right with this​ exercise? The range. rule of thumb.estimate for the standard deviation. nothing.

Answer:

its 60-15(pie) sq inches

Step-by-step explanation:

Answer:

$49.71

Step-by-step explanation:

Take $54.99 - 20% to get $43.99 add 13% and get $49.71

Answer: valu of a

Step-by-step explanation: I Did the test

Answer:

The value of A affects the answer.

Answer:

Abigail was four times faster in the skateboard than when she is walking

Step-by-step explanation:

Let the total distance to travel be d

distance traveled on skateboard = 2/3 * d = 2d/3

distance walked = 1/3 * d = d/3

So let the time taken to skate be t, then time taken to walk home will be 2t since it is 2 times longer.

Now, the speed on both trips is distance/time

For the snowboard trip, speed is 2d/3/t = 2d/3t

For the walking trip, distance would be;

d/3/2t = d/6t

So let’s compare these two speeds.

Obviously the speed on the skateboard is greater than that walking.

So we can equally divide the speed on the skateboard by that while walking to know how many times faster it is.

Thus, mathematically we have

2d/3t divided by d/6t

So that would be;

2d/3t * 6t/d = 4

So this means she was four times faster on the skateboard

Answer:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Step-by-step explanation:

Given that:

Radius of the circle, r = 10 cm

Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm

To find:

The error in area of circle = ?

Solution:

First of all, let us have a look at the percentage error in measurement of radius:

[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]

Now, we know that Area of a circle is given as:

[tex]A = \pi r^2[/tex]

[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]

Area according to r = 10

[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]

Now, error in area = 4% of 314 [tex]cm^2[/tex]

[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]

So, the answer is:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Answer:

B.   y = 6x^2 - 24x + 16.

Step-by-step explanation:

y = 6(x - 2)^2 - 8

y = 6(x^2 -4x + 4) - 8

y = 6x^2 - 24x + 24 - 8

y = 6x^2 - 24x + 16.

Answer:

[tex]\frac{h-12-2}{4} = x[/tex]  & a² = c² - b²

Step-by-step explanation:

h = 4 (x + 3y) + 2

Expand brackets

h = 4x + 12y + 2

Subtract 12y & 2 from both sides

h - 12y - 2 = 4x

Divide both sides by 4

[tex]\frac{h-12-2}{4} = x[/tex]

a² = c² - b²

Then √ both sides to lose the ²

Answer:

Step-by-step explanation:

Let the number be X

According to Question,

[tex]4 + \frac{3}{4} x = 1[/tex]

[tex]4 + \frac{3}{4} x - 4 = 1 - 4[/tex]

[tex] \frac{3}{4} x = - 3[/tex]

[tex]x = \frac{ - 3 \times 4}{3} [/tex]

[tex]x = \frac{ - 12}{3} [/tex]

[tex]x = - 4[/tex]

Hope this helps...

Good luck on your assignment...

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\textsf{Question \#1.}[/tex]

[tex]\mathbf{-8\div2 + 12 \times9 - 4\times6}\\\mathbf{= -4 + 12\times9 - 4\times6}\\\mathbf{= -4 + 108 - 4\times6}\\\mathbf{= 104 - 4\times6}\\\mathbf{= 104 - 24}\\\mathbf{= 80}[/tex]

[tex]\huge\textsf{Therefore, your answer is: \boxed{\mathsf{80}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Question \#2.}[/tex]

[tex]\mathbf{56 + 7\times2}\\\mathbf{= 56 + 14}\\\mathbf{= 70}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{70}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

Answer:

true

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.

Answer:

The possibility of not drawing a black marble= 4/5

The probability of drawing a red marble = 3/10

Step-by-step explanation:

Blue marbles = 5

Black marbles = 2

Red marbles = 3

Total marbles = 5 + 2 + 3 = 10

The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5

The probability of drawing a red marble = No of red marbles/Total marbles =3/10

Answer:

27.2

Step-by-step explanation:

The mean age of 8 women in the office is 20 years old

The mean age of 12 men in an office is 32 years old

The first step is to calculate the mean of the both the men and women in the office, that way we will be able to know the sum.

The mean of the women can be calculated by taking the sum of the value and dividing by the number

= 20+20+20+20+20+20+20+20/8

= 160/8

= 20

The mean of the men can be calculated by taking the sum of the values and dividing by the number

=32+32+32+32+32+32+32+32+32+32+32+32/12

= 384/12

= 32

Therefore, to find the mean age of people in the office we add the sum of both the men and women and divide by the total number of people in the office

= 384+160/20

= 544/20

= 27.2

Hence the mean age of people in the office is 27.2

Answer:

x=34

y=17

Step-by-step explanation:

Let Paula's score be= x

Let Maria's score be=y

Given:

x=2y

x+y=51

Substitution:

2y+y=51

Formula:

2y+y=51

3y=51

y=17

x=2y

x=2(17)

x=34

Proof:

x+y=51

34+17=51

51=51

Hope this helps ;) ❤❤❤

Answer:

(0, 2)

Step-by-step explanation:

The graph of g(t)= -(t-1)^2+5 is an inverted parabola with vertex at (1, 5).

Making a table of t and g values would be helpful here:

 t      g(t) = -(t - 1)^2 + 5

------ -----

  2     4

  0     4

 -1      1

  1      5

We're looking for an interval on which the average rate of change is zero.

Note that this is the case on the interval (2, 4); g(0) = g(2) = 4, so the change in g is 4 - 4, or zero (0).

The average rate of change of [tex]g(t)=-(t-1)^2+5[/tex] is 0 in interval [tex]-1\leq t\leq 3[/tex].

Given,

[tex]g(t)=-(t-1)^2+5\\[/tex].

We have to find the interval in which [tex]g(t)=-(t-1)^2+5\\[/tex] have an average rate of change of zero.

We know that, the function [tex]f(x)[/tex] will have average range of 0 when [tex]f(b)=f(a)[/tex].

Now we calculate g(1), g(2),g(3) and g(-1),

[tex]g(1)=-(1-1)^2+5\\g(1)=5[/tex]

[tex]g(2)=-(2-1)^2+5\\g(2)=-1+5\\g(2)=4[/tex]

[tex]g(3)=-(3-1)^2+5\\g(3)=-4+5\\g(3)=1[/tex]

[tex]g(-1)=-(-1-1)^2+5\\g(-1)=-4+5\\g(-1)=1[/tex]

Since,

[tex]g(3)=g(-1)=1[/tex]  so the function [tex]g(t)=-(t-1)^2+5\\[/tex] has an average rate of zero at [tex]-1\leq t\leq 3[/tex].

For more details follow the link:

https://brainly.com/question/2530409

Answer:

2.94117647

Step-by-step explanation:

17 x 2 = 34

50 -34 = 16

The answer is 2 with a remainder of 16

Answer:

L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.

Option B is correct.

The number 0 represents the year when Gabriel was born.

Step-by-step explanation:

Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.

Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.

J'espère que cela t'aides!!!

English Translation

Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:

A) The year when Gabriel's sister was born

B) The year when Gabriel was born

C) The year when Gabriel's mother received a medal

Solution

It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.

Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.

Hope this Helps!!!

Answer:

6x^2 -31x +40

Step-by-step explanation:

2x * 3x + 2x * - 8 + -5 * 3x -5 * -8  Distributive property

6x^2 -16x -15x + 40  Math

6x^2 -31x +40 Answer

Answer:

Greater hours worked, fewer hours spent cycling.

Step-by-step explanation:

Answer:

Greater hours worked, fewer hours spent cycling.

Step-by-step explanation:

:)

Answer:

17.7

Step-by-step explanation:

Area of a triangle is 1/2×L×B

since a degree is given we are to multiply it with it and we are to use SIN

so 1/2×sin65×4.5×13.1

sin65= 0.6018

so 1/2×0.6018×4.5×13.1

=35.47/2

=17.7

The area of the triangle is 17.7 square inches option (A) 17.7 is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We know,

The area of the triangle:

A = ab(sinx)/2

a = 13.1 cm, b = 4.5 cm, x = 37 degrees

A = 13.1×4.5(sin37)/2

A = 29.475sin37

A = 17.7 square inches

Thus, the area of the triangle is 17.7 square inches option (A) 17.7 is correct.

Learn more about the triangle here:

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Answer:

Step-by-step explanation:

Given the height h (t )of the sunglasses after t seconds modeled by the polynomial function h(t ) =  -16t²+ 4096

Since the sunglasses hit the ground, the height of the glass on the ground will be 0feet. Substituting h(t)= 0 into the formula to know the time it takes the glass to hit the ground will give;

0 = -16t²+ 4096

0+16t² = 4096

16t² = 4096

Dividing both sides by 16;

16t²/16 = 4096/16

t² = 256

Taking the square root of both sides

√t² = √256

t = 16 seconds

This means that the sunglasses will hit the ground after 16 seconds

Answer:

(a)Grade =7.5% (No warning sign is needed)

(b)Rise =90 feet

Step-by-step explanation:

[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]

(a)

Rise = 63 feet

Run (Horizontal distance) = 840 feet.

[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]

A warning sign should not be posted since its grade is less than 8%.

(b)

Grade = 9%

Run (Horizontal distance) = 1000 feet.

Recall that:

Grade = Slope X 100

[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]

The road rises 90 feet over a distance of 1000 feet.

Answer:

  85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

  180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

  b/sin(B) = c/sin(C)

  b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

None of these answers work.  I believe you recorded the equations incorrectly.

Answer:

p(t) = 5 × [tex]2^{t}[/tex]

Step-by-step explanation:

Use the points on the curve to evaluate a and b

Using (0, 5 ), then

5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus

a = 5

p(t) = 5[tex]b^{t}[/tex]

Using (1, 10 ), then

10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )

b = 2

Thus

p(t) = 5 [tex]2^{t}[/tex]

The exponential function  is

[tex]p(t) = 5(2^{t})[/tex]

An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

Where,

b>0 and b is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“b” is a constant, which is the base of the function.

and a is also constant.

According to the given question

We have an exponential function

[tex]p(t) = ab^{t} ...(i)[/tex]

And from the given graph,  the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)

Substitute  t = 0 and p(t) = 5 in (i)

⇒[tex]5 = a[/tex] or a = 5       ( because,   [tex]b^{0} = 1[/tex] )

Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]

⇒ 10 = 5[tex]b^{1}[/tex]

⇒ b = 2

Therefore, the exponential function p(t) is given by

[tex]p(t) = 5(2^{t})[/tex]

Learn more about exponential function here:

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Answer:

9

Step-by-step explanation:

take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1

Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = b,

where b = y-intercept

The y-intercept is -7, so the equation is

y = -7

Answer:

Y=-7

Step-by-step explanation:

No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).

Answer:

$112.50

Step-by-step explanation:

150x.75=112.5

Answer:

its 112.50

Step-by-step explanation:

i got it right