Under the normal curve, approximately what percent of scores fall between and -1 to +1 standard deviations around the mean?

Answers

Answer 1
According to the empirical rule, roughly 68% of the scores fall between z = -1 and z = 1 

You can use a calculator to get a more approximate answer. If you have a TI calculator, you can use the "normalcdf" function to type in normalcdf(-1,1)

Related Questions

Three different bags of pretzels are sold at the store. which bag of pretzels is the best buy? bag a:10 ounces for $1.10 bag b:12 ounces for $1.38 bag
c.6 ounces for $0.84

Answers

----------------------
Bag a:
----------------------
10 ounces = $1.10
    1 ounce = $1.10 ÷ 10 = $0.11

----------------------
Bag b:
----------------------
12 ounces = $1.38 
  1 ounce = $1.38 ÷ 12 = $0.115

----------------------
Bag c:
----------------------
6 ounces = $0.84
  1 ounce = $0.84 ÷ 6 = $0.14

--------------------------------------------------
Answer: Bag A is the best buy.
--------------------------------------------------
The best buy bag is bag A

Complete the area model to identify the factored form of the quadratic expression it represents. A) (x + 2)(x + 5) B) (x − 2)(x + 5) C) (x + 2)(x − 5) D) (x − 2)(x − 5)

Answers

The correct answer is D (x - 5)(x - 2)

You can tell this because in the picture, we are looking for all of the cross sections to multiply to their appropriate boxes. In the bottom right corner, we see the number 10. This means that the bottom number and the right number must multiply to 10. This only happens in A and D, whereas in B and C those equal -10.

To determine between A and D, you must find the ones that have negatives, since the two x values are both negatives. D is the only one with negative numbers out of the ones we are left working with. Therefore, D is the correct answer.

Answer:

its C i just did that question

Step-by-step explanation:


An old adage states that "You can't fit a square peg in a round hole." Actually, you can, it just won't fill the hole. If a hole is 4 inches in diameter, what is the approximate width of the largest square peg that fits in the round hole?

Answers

Suppose the peg is like a rectangular prism:

It will be a right triangle with two sides of 2 and 2 because the diameter is 4.
c=√(2²+2²)
c=2√2
so the width of the largest peg is 2√2 or 2.83 inch

2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft^3

(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.

(b) Would the density of the water change if the aquarium was only half full? Explain. Answer:

Answers

Total mass of the filled aquarium  = 3*3 * 62 =  1674 pounds
As the table can only support  200 lbs the aquarium should not be put on the table.

(b) No   the deisity of the water is a constant 

(a)

3*3*3=27

27*62=1674

Your answer: 1674

(b)

No, no matter how much water there is, the density will never change.

How to find the third side of a triangle if two sides are known?

Answers

More than likely it is a right triangle and in that case you would use Pythagorean's Theorem which is a^2+b^2=c^2. With a and b equaling the legs of the triangle and c equaling the hypotenuse of the triangle.

Final answer:

To find the third side of a triangle when two sides are known, you can use the Triangle Inequality Theorem or the Law of Cosines.

Explanation:

To find the third side of a triangle when two sides are known, you can use the Triangle Inequality Theorem or the Law of Cosines.

Triangle Inequality Theorem:

Take the two known sides of the triangle.

Add the lengths of the two sides together.

Subtract the sum from the total perimeter of the triangle.

Law of Cosines:

Label the two known sides as 'a' and 'b', and the angle between them as 'C'.

Use the formula c² = a² + b² - 2abcos(C) to find the square of the third side.

Take the square root of the result to find the length of the third side.

The population of a major U.S. city is 8,550,405. The land area of the city is 1213.4 square kilometers. What is the best approximate population density of the city? 7047 peoplekm2 7124 ​ peoplekm2 ​ 7167 ​ peoplekm2 ​ 7500 ​ peoplekm2 ​

Answers

the answer is  
           people
7047   ---------
             km^2


The population of a major U.S. city = 8,550,405

Area of the city = 1213.4 sq.km

Density = [tex] \frac{Population}{area} [/tex]

Density = [tex] \frac{8,550,405}{1213.4} [/tex]

Density = 7046.6499 [tex] \frac{People}{km^{2}} [/tex]

As the density here will not be in decimal so after rounding the density in whole number,

Density = 7047 [tex] \frac{People}{km^{2}} [/tex]

Option A is the answer

Using the sample results, estimate the proportion of the entire population that would like to take a cruise to Bermuda.

Answers

The proportion of the entire population (the senior class of 800) is presumed to match the proportion of the sample (150 students). 

That proportion is 5/150, matching ...
 A)  0.03
A.0.03 is the answer.....................................................

PLEASE HELP !! URGENT!! ILL MARK THE BRAINLIEST FOR THE CORRECT ANSWER
add or subtract

\frac{x}{x^2-36} -\frac{6}{x^2-36}

Answers

[tex]\frac{x}{x^2-36} -\frac{6}{x^2-36} = \frac{x-6}{(x-6)(x+6)} = \frac{1}{x+6} when x \neq 6, and \\x \neq -6[/tex]

[tex]\frac{x}{x^{2-}36} +\frac{6}{x^{2}-36} = \frac{x+6}{(x-6)(x+6)} = \frac{1}{x-6} , when x \neq 6, and\\x \neq -6.[/tex]

Answer:

x + 6; where x ≠ -6, +6

Step-by-step explanation:

What is the solution to the equation 1/square root of 8 = 4^(m + 2)?
m = −15/4
m = −11/4
m = 5/4
m = 9/4

Answers

Take the log (base 4) of both sides of the equation.
[tex]\log_{4}(\frac{1}{\sqrt{8}}) = m + 2[/tex]
[tex]\frac{-1}{2} \log_{4}(4^{\frac{3}{2}})-2 = m[/tex]
[tex]-2 \frac{3}{4}= m[/tex]

The appropriate choice is ...
  m = -11/4
I agree with the other person, the answer is -11/4


2/5x = -3/15 + 1/x


x=0
x=15
x=5
x=3

Answers

Answer:

x = 3

Step-by-step explanation:

[tex]\dfrac{2}{5x}=-\dfrac{3}{15}+\dfrac{1}{x}\\\\\dfrac{1}{5}=\dfrac{5-2}{5x}\qquad\text{add $\frac{3}{15}-\frac{2}{5x}$}\\\\x=3\qquad\text{multiply by 5x}[/tex]

The figure below is the two-dimensional net of a rectangular prism. What is the surface area of the prism it can be folded to form.

(Please see attached picture)
8 square units
20 square units
24 square units
28 square units

Answers

For this case we must find the area of each of the rectangles that form the rectangular prism.
 We have then:

 Rectangle 1:
 
[tex]A1 = (2) * (1) A1 = 2[/tex]

 Rectangle 2:
 
[tex]A2 = (2) * (4) A2 = 8[/tex]

 Rectangle 3:
 
[tex]A3 = (4) * (1) A3 = 4[/tex]

 Then, the prism area is given by:
 [tex]A = 2A1 + 2A2 + 2A3 [/tex]
 Substituting values:
 [tex]A = 2 (2) + 2 (8) + 2 (4) A = 4 + 16 + 8 A = 28[/tex]

 Answer:
 
the surface area of the prism is:
 
28 square units

In a​ circle, a 225 degrees sector has area 490pi in2. What is the radius of the​ circle?

Answers

we know that

area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree
r=√[360°*(area of a sector)/(∅*pi)]

area of a sector=(∅/2)*r²--------> when ∅ is in radians
r=√[2*(area of a sector)/∅]

let's calculate the radius of the two ways

1) r=√[360°*(area of a sector)/(∅*pi)]
area of a sector=490*pi in²
∅=225°
 r=√[360°*(490*pi)/(225°*pi)]-------> r=√784-----> r=28 in

2) r=√[2*(area of a sector)/∅]
area of a sector=490*pi in²
∅=225°-----> convert to radians-----> ∅=225°*pi/180-----> ∅=1.25*pi
r=√[2*(490*pi)/(1.25*pi)]----> r=√[980/1.25]---> r=√784----> r=28 in

the answer is 
the radius is 28 in

Geometry question, will give brainiest

Answers

C. 135
Corresponding parts of congruent figures are the same
Give that the figure QRSTU IS CONGRUENT TO QXWVU
THEN ANGLE R IS EQUAL TO ANGLE X
SINCE ANGLE R = 135 THEN ANGKE X ALSO EQUALS 135

14) Jillian has $50 that she plans on investing in an account that will double her money every week. This can be represented by the equation M = 50(2)x where M represents the amount of money she has and x represents the number of weeks that have passed. Her uncle Charlie gives her a gift of $400 so she decides to start her investement with that money plus the $50 she already had. What should be changed in the equation M = 50(2)x to represent the new situation?

Answers

it should still be m= 50(2)x just add +400 to the end!

If A(-1,3), B(4,4), C(8,1) , then classify ABC as scalene, isosceles, or equilateral.

Answers

For this case we use the formula of distance between points.
 We have then:
 d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
 For AB:
 AB = root ((4 - (- 1)) ^ 2 + (4-3) ^ 2)
 AB = 5.099019514
 For AC:
 AC = root ((8 - (- 1)) ^ 2 + (1-3) ^ 2)
 AC = 9.219544457
 For BC:
 BC = root ((8-4) ^ 2 + (1-4) ^ 2)
 BC = 5
 We observe that it has three sides with different dimensions, therefore, the triangle is scalene.
 Answer:
 
Scalene

The outer edge of the dime is about 55mm. What is the approximate length of the radius?

Answers

To find the approximate length of the radius, you will use the formula for finding the circumference of a circle and solve for the radius (r).

C = 2 x pi x r
55 = 2 x 3.14 x r
55 = 6.28 x r
6.28   6.28
r = 9.2 mm

The approximate radius is 9.2 mm.

please help asap 45 pts

Answers

C) if you multiply it you get w^2 + 7w +11w+77, which is w^2+18w+77
the answer is C.
hope that help

NEED HELP PLEASE I BEG!!!!!!
The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.

What is the survey’s margin of error?

Enter your answer in the box. ± ___ %
The answer goes on the underscores

Answers

The confidence interval estimator of the population proportion is given by

[tex]C.I.=\hat{p}\pm M.E.[/tex]

where: [tex]\hat{p}[/tex] is the sample proportion, which is midway between the two intervals and M.E. is the margin of error which is the difference between each of the intervals and the sample proportion.

i.e. 
[tex]\hat{p}= \frac{76+84}{2} \% \\ \\ = \frac{160}{2} \%=80\%[/tex]

Therefore, the margin of error is 4%.

Final answer:

The margin of error for the survey, given a range between 76% and 84% satisfaction for seat locations, is calculated to be ±4%.

Explanation:

The margin of error in a survey indicates how much the survey results might differ from the actual opinions of the total population.

In this case, the survey indicates a satisfaction range between 76% and 84% for seat locations among season ticket holders.

The margin of error is half of the width of the range, which is the difference between the upper and lower percentage bounds of the confidence interval divided by two.

To calculate the margin of error, subtract the lower percentage (76%) from the upper percentage (84%) and then divide by 2. That is, (84 - 76) / 2 = 8 / 2 = 4.

Thus, the margin of error for the survey is ±4%.

What is the equation of the line whose y-intercept is 3 and slope is 1?

y=x-3
y=x+3
y=3x+1

Answers

The answer is y=x+3.

Hope this helps! :)

If you divided 26 objects into sets of 6, how many sets of 6 could you make, and how many are left over?

Answers

26 divided by 6 is 4 with 2 leftover.
4 sets of 6 with the remainder 4
hope this helps

HELPP ILL GIVE MAD POINTS!!
Which series has a sum of 5?

Answers

Answer:

C

Step-by-step explanation:

The formula is S=a1/1-r

The series third has a sum of 5 option (C) is correct because the sequence represents the sum of the infinite terms.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a series shown in the picture.

The geometric sequence is shown in the options.

As we know, in the geometric sequence there is a first term and common difference

In the first sequence:

First term a = 2

Common difference = 2(0.1)/2

Common difference d = 0.1

The sum of the infinite series is:

S = a/(1 - r)

S = 2/(1 - 0.1)

S = 2.22

In the second sequence:

First term a = 15

Common difference = 15(0.3)/15

Common difference d = 0.3

The sum of the infinite series is:

S = a/(1 - r)

S = 15/(1 - 0.3)

S = 21.42

In the third sequence:

First term a = 4

Common difference = 4(0.2)/4

Common difference d = 0.2

The sum of the infinite series is:

S = a/(1 - r)

S = 4/(1 - 0.2)

S = 5

Thus, the series third has a sum of 5 option (C) is correct because the sequence represents the sum of the infinite terms.

Learn more about the sequence here:

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I need help please help me!!

Answers

Find the area of the larger circle and subtract from it the area of the smaller circle. I can't tell what the diameter of the larger circle is.

A counterexample for the expression sin(x)+cos(x)=1 is 45°

True or False?

Answers

For this case we have the following expression:
 sin (x) + cos (x) = 1
 Substituting x = 45 degrees we have:
 sin (45) + cos (45) = 1
 (root (2) / 2) + (root (2) / 2) = 1
 Rewriting:
 (root (2) + root (2)) / 2 = 1
 (2 * root (2)) / 2 = 1
 root (2) = 1
 We observe that the equation is not fulfilled.
 Answer:
 
Yes, A counterexample for the expression sin (x) + cos (x) = 1 is 45 °.
 
TRUE

Answer:

true

Step-by-step explanation:

Use 3.14 for pi. Round your answer to the nearest hundredth.

Answers

The calculated area of the shape is 50.24 square units

Finding the area of the shape.

From the question, we have the following parameters that can be used in our computation:

The shape

The area of the shape is calculated as

Area = 1/4πr²

Where

Radius, r = 8

Substitute the known values into the equation

Area = 1/4π * 8²

Evaluate

Area = 16π

So, we have

Area = 16 * 3.14

Evaluate

Area = 50.24

Hence, the area of the shape is 50.24 square units

Question

Find the area of the shape.

Use 3.14 for pi. Round your answer to the nearest hundredth.

If sinA/sinB=p,cosA/cosB=q,find tanA and tanB

Answers

If sinA/sinB=p
cosA/cosB=q
tanA/tanB=p+q

Jenny has a rope that is 7 1/2 She wants to cut it into pieces that are 3/4of a foot long.
How many pieces of rope will Jenny get?

5 5/8
8
10
1/10

Answers

Jenny will get 10 pieces that are 3/4 of a foot long from a 7 1/2 long piece

Hope this helps:)

Jenny will get 5 pieces of rope.

What is the ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

To find out how many pieces of rope Jenny will get, we need to divide the total length of the rope by the length of each piece:

Total length of the rope = 7 1/2 = 15/2

Length of each piece = 3/4

Number of pieces = (15/2) ÷ (3/4)

We can simplify this expression by dividing the numerator and denominator of the left-hand side by 2:

Number of pieces = (15/2) × (4/3)

Number of pieces = 30/6

Number of pieces = 5

Therefore, Jenny will get 5 pieces of rope.

Learn more about ratios here:

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I NEED ANSWER ASAP!!! TEST DUE IN 30 MINUTES!!
What is the volume of the composite figure?
1,024 cm^3
896 cm^3
832 cm^3
64 cm^3

Answers

Answer:

896 cm^3

Step-by-step explanation:

formula for the triangle prism is

V= 1/3 Bh

V = 1/3 (8 x 3) (8)  The base is 8 seen the base of the rectangel prism is 8 to its consider as base to.

V= 1/3 (24 x 8)

V= 1/3 (192)

V = 64

Now we need to find the volume so the rectangle formula is

V= lwh

V= (13x 8) (8)

V= 832cm

Add your two answers and u get

832 + 64 = 896 cm^3

The solution is :  896 cm^3 is the volume of the composite figure.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

Volume formula for the triangle prism is

V= 1/3 Bh

V = 1/3 (8 x 3) (8)  

The base is 8 seen the base of the rectangle prism is 8 to its consider as base to.

V= 1/3 (24 x 8)

V= 1/3 (192)

V = 64

Now we need to find the volume so the rectangle formula is

V= lwh

V= (13x 8) (8)

V= 832cm

Add your two answers and u get

832 + 64 = 896 cm^3

Hence, The solution is :  896 cm^3 is the volume of the composite figure.

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8.Find the value of c that makes the expression be a perfect square trinomial p^2-30p+c

9.Use quadratic formula to solve. 4x^2+7x-15=0

10.Find the number of real number solutions using the discrimination. x^2+4x-32=0

Please help these are my final questions and I need help with them

Answers

Hope this is the right one.

Problem 8
p^2 - 30p + c
Step One
Take 1/2 of - 30
1/2 * -30 = - 15

Step 2
Square -15
(-15)^2 = 225
c = 225

Problem Nine
[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} [/tex]
a = 1
b = 4
c = -15
[tex]\text{x = }\dfrac{ -4 \pm \sqrt{4^{2} - 4*1*(-15) } }{2*1} [/tex]
[tex]\text{x = }\dfrac{ -4 \pm \sqrt{\text{16} + \text{60} } }{2} [/tex]

x = [-4 +/- sqrt(76)] / 2
x = [-4 +/- 2*sqrt19]/2
x = [-4/2 +/- 2/2 sqrt[19]
x = - 2 +/- sqrt(19) 

x1 = - 2 + sqrt(19)
x2 = -2 - sqrt(19)

These two can be broken down more by finding the square root. I will leave them the way they are.  It's just a calculator question if you want it to go into decimal form.

Problem Ten

a = 1
b = 4
c = -32

The discriminate is sqrt(b^2 - 4ac)
D = sqrt(b^2 - 4ac)
D = sqrt(4^2 - 4(1)(-32)
D = sqrt(16 - - 128)
D = sqrt(16 + 128)
D = sqrt(144)
D = +/- 12

Since D can equal + or minus 12 there must be 2 possible (and different) roots. As a matter of fact, this quadratic can be factored.
(x + 8)(x - 4) = y 
But that' s not what you were asked for.
The discriminate is >  0 so the roots are going to be real.
Answer; The discriminate is > 0 so there will be 2 real different roots.

Which pair of points forms a vertical line segment that is 4 units long?

Answers

In a Cartesian coordinate system, a vertical line segment always is parallel to the y-axis, so we have this coordinate system in the figure below. We need to find a pair of points that is 4 units long.

So, this pair of points are in the general forms as follow:

[tex]P_{1}( x_{1}, y_{1})[/tex]
[tex]P_{2}( x_{2}, y_{2})[/tex]

Given that the straight line is vertical, then:

[tex]x_{1}=x_{2}[/tex]
 
Then the point 2 is modified as:

[tex]P_{2}( x_{1}, y_{2})[/tex]

We need to find a point which is 4 units long, so:

[tex]d = y_{2} - y_{1} = 4[/tex]
∴ [tex]y_{2} = 4+ y_{1}[/tex]

So, we can find infinite points given a value of [tex]y_{1}[/tex], therefore if:

[tex]y_{1} = 2[/tex] then:

∴ [tex]y_{2} = 6[/tex]

Thus, if [tex] x_{1} = 1 [/tex] then a pair of points are:

[tex]P_{1}(1,2)[/tex]
[tex]P_{2}(1,6)[/tex]

In ΔABC, ∡A is a right angle, and m∡B = 45°. What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Answers

BC² = 11² + 11²

BC² = 121 + 121

BC² = 242

BC = √242

BC = 11√2

Answer: 11√2

Answer:

The length of BC is 11√2 ft.

Step-by-step explanation:

Given,

A right angled triangle ABC,

In which,

AC = 11 ft ( By diagram ),

∠A = 90°,

∠B = 45°,

By the law of sine,

[tex]\frac{sin B}{AC}=\frac{sin A}{BC}[/tex]

[tex]\implies BC\times sin B = AC\times sin A[/tex]   ( By cross multiplication )

[tex]\implies BC = \frac{AC\times sin A}{sin B}[/tex]

By substituting the values,

[tex]BC=\frac{11\times sin 90^{\circ}}{sin 45^{\circ}}[/tex]

[tex]=\frac{11}{\frac{1}{\sqrt{2}}}[/tex]

[tex]=11\sqrt{2}[/tex]

Hence, the length of BC is 11√2 ft.

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