Answer:
The interval that would represent the middle 99.7% of IQ scores is (55, 145).
Step-by-step explanation:
The empirical rule tells us that 68% of values are within one standard deviation from the mean, 95% of values are within two standard deviations from the mean, and 99.7% of values are within three standard deviations from the mean.
If we want to determine the interval representing the middle 99.7% of IQ scores, we need to determine the values that are three standard deviations from the mean.
We are given the standard deviation of 15 and a mean of 100. Three standard deviations from the mean can be calculated as such:
100 - 15(3) < 100 < 100 + 15(3)100 - 45 < 100 < 100 + 4555 < 100 < 145The interval that represents the middle 99.7% of IQ scores is (55, 145).
100 POINTS!! ANSWER CORRECT
The information in the table shows the average weekly temperatures in degrees Fahrenheit of four cities.
Which city’s data set is bimodal?
A. City A
B. City B
C. City C
D. City D
Answer:
City B
Step-by-step explanation:
Because it is the only one that makes sense.
95. In your own words, define a parabola.
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
HURRY PLS!!!!!The heights, in feet, of the trees for sale at two nurseries are shown below. Yard Works: 7, 9, 7, 12, 5 The Grow Station: 9, 11, 6, 12, 7 Which statements are true regarding the measures of center and variability of these data sets? Select three choices. The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station. The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station. The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station. The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
The statement first, statement third, and the statement fifth are correct because the mean absolute deviation are the same.
What is mean absolute deviation?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:
The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Growth Station.The range of the tree heights at Yard Works is greater than the range of the tree heights at The Growth Station. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Growth Station.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
URGENT HELP
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 66%. What is the probability that it will rain on exactly one of the five days they are there? Round your answer to the nearest thousandth.
Question 2 options:
.362
.227
.044
.109
Answer:
.82^5 = ? I dont think it helps
Step-by-step explanation:
Please help me find the area of compound shapes?!??!
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! :)
find the area of the shaded region, round to the nearest tenth. I will give brainliest
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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Simplify the expression
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]
Suppose that a good has an income elasticity of demand of -2. 0. This means that the good is
The good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.
What are the characteristics of 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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help me please please
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
The diameter of a circle is 26 millimeters. What is the circle's circumference?
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
Provided information:d=26 mm
Plug in the values:
[tex]\bf{C=26\pi }[/tex]
Multiply & round:
[tex]\bf{C=81.7mm}[/tex]
Good luck.
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is the equation y=1/7x an example of direct variation
Answer:
no
Step-by-step explanation:
k=1(constant)
y varies inversely with x
To solve 1/4÷8, Jordan thinks of dividing a pancake into 4 equal parts, dividing one of those parts into 8 equal pieces, and then eating one of those pieces.
What fraction of the pancake is Jordan thinking about eating?
Enter your answer as a fraction in simplest form by filling in the boxes
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
What is the area of the rectangle?
2 om
3 cm
А
6 cm
B
23 cm
с
17 cm
D
31 cm
Area
Length ×Breadth3(2)6cm²Luca made a scale drawing of the auditorium. in real life, the stage is 45 feet long. it is 18
inches long in the drawing. what is the scale of the drawing?
Answer:
30:1
Step-by-step explanation:
45*12 = 540
540/18 = 30
what’s the answer to this problem , figure out the area and perimeter of this triangle please and thank you
Answer:
P=2.66m
A=.3318m
Step-by-step explanation:
P=1.0+.79+.87
A=.79 * .84
Consider the parallelogram below.
Find the value of y.
Enter each line of work as an equation.
Answer: 10
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so [tex]17=y+7 \longrightarrow y=10[/tex]
does somebody know how to do this??
Answer:
95
Step-by-step explanation:
65+66+90+95=316
316/4=79
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?
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
Find an angle
x where sin x = COS x.
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]
Simplify Negative 3 over 2 divided by 9 over 6.
−4
−1
4
1
BEST ANSWER :
(( -3/2 ) 9 ) / 6.
= -0.02777777777
please help! click to see the picture
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
Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 9 of them are infected. How many elk are likely to be infected?
When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.
Calculation of the number of elk: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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What is the equation of the line that passes through the point (4,7) and has an
undefined slope?
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
(8-b) + (5b + 6) what is the answer?
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]
Therefore your answer is [tex]2*(2b+7)[/tex], in other words, 4b+14identify b on the following diagram not really important but 8 would love for someone to help me
Answer: A origin
Step-by-step explanation:
find the value using x
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
wow lashes is a false eyelashes company. the companymade $50,000 in 2021. they have already sold enough lashes this year to make $5,500 in profit. this year, they plan to sell at least 800 more packs of lashes than the previous year. each pack of lashes makes the company $12
Answer:
whats the question
Step-by-step explanation:
direction. The number b varies directly with the number a. For example b = 2 when a = -2
-2. Which equation
=
4
represents this direct variation between a and b?
b = -a
-b = -a
ОООС
b-a= 0
b(-a) = 0
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
These proteins identify and lock on to an antigen (pathogen) and then tell other parts of the body to destroy the germ
A. T Cells
B. Phagocytes
C. Antibodies
D. Lymphocytes
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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A sweater is $45 and 10% off. What is the discount? HTML EditorKeyboard Shortcuts
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)