IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 99. 7% of IQ scores

Answer:

The definition of a parabola is a symmetrical plane curve that forms when a cone intersects with a plane parallel to its side. A u-shaped graph of a quadratic function is an example of a parabola.

Step-by-step explanation:

hope this helps

have a good day<3

Answer:

.82^5 = ? I dont think it helps

Step-by-step explanation:

Area

Answer:

see below

Step-by-step explanation:

Standard equation for a circle with center h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

so for this one   center =  (1,2)   radius = 4

Answer:

Discount  = $4.50
Discounted Price = $40.50

Step-by-step explanation:

First you need to find what 10% of $45 is. To do that you need to divide $45 by 10 or just move the decimal point one space to the left. The answer would be $4.50. Then, you need to subtract $4.50 from $45 as we are calculating the discounted price. The answer would be $40.50.

Equation:
$45 ÷ 10 = $4.50 (discount)
$45 - $4.50 = $40.50 (discounted price)

Answer:

P=2.66m

A=.3318m

Step-by-step explanation:

P=1.0+.79+.87

A=.79 * .84

Answer:

Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)

How many different sweatshirt designs are possible?

Step-by-step explanation:

It's 4320

Answer:

City B

Step-by-step explanation:

Because it is the only one that makes sense.

Answer:
Inequality 7n - 22 >= 64
Solution   7n > = 64 + 22
                7n >= 86
                  n => 12. 28 rounded down to 12
                     Grace must wash at last 12 cars

Answer:

95

Step-by-step explanation:

65+66+90+95=316

316/4=79

Answer: [tex]4b+14[/tex]  

[tex]2*(2b+7)[/tex]

Step-by-step explanation:

[tex](8-b)+(5b+6):8-b+5b+6[/tex]

[tex]-b+5b+8+6[/tex]

[tex]-b+5b+14[/tex]

[tex]=4b+14[/tex]

Step-by-step explanation:

[tex] \frac{ \cos(x) }{1 + \sin(x) } + \frac{ \cos(x) }{1 - \sin(x) } [/tex]

[tex] \frac{ \cos(x)(1 - \sin(x) + \cos(x) (1 + \sin(x)) }{1 + \sin(x))(1 - \sin(x) ) } [/tex]

[tex] \frac{ \cos(x) - \cos(x) \sin(x) + \cos(x) + \cos(x) \sin(x) }{1 - \sin {}^{2} (x) } [/tex]

[tex] \frac{2 \cos(x) }{ \cos {}^{2} (x) } [/tex]

[tex] \frac{2 \cos(x) }{ \cos(x) \cos(x) } [/tex]

[tex] \frac{2}{ \cos(x) } [/tex]

Step-by-step explanation: the answer for this question should be 81.64 because to find the circumference you need to know the circumference formulas which is  C=TT times d or          C= 2 times TT times r.

C= 3.14 times 26          C= 2 times 3.14 times 13

                                       C= 81.64

C= 81.64

so the answer is 81.64 for the circle's circumference so hopefully that is the correct answer and have a great day

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

             The diameter of a circle is 26 mm. Find its circumference.

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

C=81.7mm

[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]

[tex]\implies{\sf{Circumference \:of \:a \:circle:\bigstar\:\:\:C=\pi d}}}[/tex]

Where:

C=Circumference

π=pi

d=diameter

d=26 mm

Plug in the values:

[tex]\bf{C=26\pi }[/tex]

Multiply & round:

[tex]\bf{C=81.7mm}[/tex]

               - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

no

Step-by-step explanation:

k=1(constant)

y varies inversely with x

Answer: 17.4

Step-by-step explanation: Area of a Square

Area of a rectangle = s².

s is the side length.

Area of Circle

4 quarter circles equals a full circle.

Area of a full circle = πr².

There are four quarter circles in the diagram given, therefore:

Area of the shaded region = area of square - area of full circle

= 9² - π(4.5²)

= 17.38.

Therefore, the area of the shaded region, to the nearest tenth, is about: 17.4 m².

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The good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

An inferior good occurs when an increase in income causes a fall in demand.

An inferior good has a negative income elasticity of demand. (YED) Inferior goods are characterized by low quality – and are goods with better alternatives.

Suppose that good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

An inferior good is one whose demand drops when people's incomes rise. When incomes are low or the economy contracts, inferior goods become a more affordable substitute for more expensive goods.

Inferior goods are the opposite of normal goods, whose demand increases even when incomes increase.

Hence, the good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

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The statement first, statement third, and the statement fifth are correct because the mean absolute deviation are the same.

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.

We have data:

Yard Works: 7, 9, 7, 12, 5

Grow Station: 9, 11, 6, 12, 7

The mean for yard works = 40/5 = 8

The mean for grow station = 45/5 = 9

The mean absolute deviation for yard work = 2

The mean absolute deviation for grow station = 2

The correct statements are:

Thus, the statement first, statement third, and the statement fifth are correct because the mean absolute deviation are the same.

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Answer: A, C, E.

Step-by-step explanation: I got it right on the test

Answer:

Answer is D.

Lymphocytes.

Explanation.

How Does the Immune System Work? When the body senses foreign substances (called antigens), the immune system works to recognize the antigens and get rid of them. B lymphocytes are triggered to make antibodies (also called immunoglobulins). These proteins lock onto specific antigens.

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Answer: 1/32

Step-by-step explanation:

1st step:  1/4 divided by 8, which is 1/4 divided by 8/1

Then for the 2nd step, you have to find the reciprocal of the 2nd fraction, so you just reverse it

2nd step:  1/4 X 1/8

3rd step.  1X1/4X8 = 1/32

You can also think of it like this.  He started with 4 pieces.  Each piece was then divided into 8 parts.  So 8X4=32 is the total number of pieces.  He's only eating 1 of those, so he's only eating 1/32.

Answer:

1/32

Step-by-step explanation:

[tex]\displaystyle \frac{\frac{1}{4}}{8}=\frac{1}{4*8}=\frac{1}{32}[/tex]

So, Jordan is thinking about eating 1/32nd of the pancake

Answer:

27cm²

Step-by-step explanation:

Chop the irregular shape into two rectangles!

(I divided by the inner corner next to the 5cm mark across to the side with no label at all on the left)

6x2=12 (longer rectangle)

5x3=15 (shorter rectangle)

12+15=27cm²

I hope this helps! :)

Answer:

b = - a

Step-by-step explanation:

given b varies directly with a then the equation relating them is

b = ka ← k is the constant of variation

to find k use the condition b = 2 when a = - 2 , then

2 = - 2k ( divide both sides by - 2 )

- 1 = k

then

b = - a ← equation of variation

Answer: 10

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so [tex]17=y+7 \longrightarrow y=10[/tex]

BEST ANSWER :

(( -3/2 ) 9 ) / 6.

= -0.02777777777

Answer:

whats the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the point slope formula  

y - y1 = m(x -x1)

where "m" is an undefined slope

and plug in the given point   (4,7)  it's form is  (x1,y1)

y-7 = m(x - 4)

y = m(x - 4 )  + 7

Answer:

[tex]x = \frac \pi4 + k\pi (k \in \mathbb{Z})[/tex]

Step-by-step explanation:

If [tex]cos\ x = 0 \rightarrow sin\ x = \pm1[/tex], which is obviously not a solution. At this point we can divide both sides by [tex]cos\ x[/tex] to get

[tex]\frac {sin\ x}{cos\ x} = 1 \rightarrow tan\ x = 1[/tex]

which has solutions [tex]x = \frac \pi4 + k\pi (k \in \mathbb{Z})[/tex]

When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

Since the population is 6,750.

The random sample is 50.

So here be like

[tex]6750[/tex] ÷ [tex]50[/tex] × [tex]9[/tex]

= 1,215

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

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Work Shown:

9/12 = (x+4)/(2x)

9(2x) = 12(x+4)

18x = 12x+48

18x-12x = 48

6x = 48

x = 48/6

x = 8

Answer: A origin

Step-by-step explanation:

Answer:

30:1

Step-by-step explanation:

45*12 = 540

540/18 = 30