The measurement deviates from the mean by more than 100 standard deviations.
What does simple math standard deviation mean?It's a way to gauge how widely apart each data point is from the mean. The standard deviation formula comes in two different forms: Standard deviation for the population When you can measure the entire population or the entire collection of data, you use the population version of the formula. Experts in statistics have determined that measurements that fall within a 2 SD range of the true value are more accurate than those that do not..
based on the facts provided;
the average population, =100
The standard deviation for the population
σ=10
Z score:
Z=X−μσ
X:The measurement.
The number of standard deviations the measurement is from the mean:
We are not given the measurement. So, assuming the measurement is equal to 139.
When
X=139
Z=139−100/10
=3.9
It implies that the measurement of
139 is 3.9
standard deviation above the mean of 100;
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-8n-4+n+7 where like terms need to be simplified
Answer:
- 8n -4 +n+7
like terms (-8n, n) and (-4, 7)
so; -8n+n-4+7
= -7n+3
Answer:
-7n + 3
Step-by-step explanation:
Simplify:Like terms are terms that have same variable with same power.
-8n and n are like terms. subtract or add the coefficient of the like terms.
(-8) and 1. So, subtract and it is -7n
(-4) and 7 are like terms(constants).
-8n - 4 + n + 7 = -8n + n - 4 + 7
= -7n + 3
I WILL GIVE BRAINLIEST TO THE ONE WITH THE CORRECT ANSWER.
Solve for x. Assume that lines which appear to be diameters are actual diameters.
The value of x is 4 , the correct option is (C)4 .
In the question ,
it is given that AD and BE are diameters , hence they are straight lines .
From the figure shown below , we can see that
∠AOE and ∠BOD are vertically opposite angles ,
the property of vertically opposite angle states that " the vertically opposite angles are equal in measure ."
So,
substituting the values of ∠AOE and ∠BOD from the figure , we get
36x-4 = 92+(11x+4)
36x-11x = 92+4+4
25x = 100
x=4
Therefore , the value of x = 4, the correct option is (C)4 .
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The Cookie Booth started with
148 cookies. They sold 66 cookies
by noon. What is the ratio of sold
cookies to non-sold cookies?
Answer:If 104 items were sold and 32 if these are cookies, to get number of brownies sold subtract 32 from 104. This gives 72 brownies sold.
A ratio is a fraction. If we want the ratio of brownies to cookies it would look like
brownies 72
________ = _____
cookies 32
This ratio could be reduced by dividing both parts of the fraction by the greatest common factor of 8.
This gives a reduced ratio of 9
_____
4
Step-by-step explanation:
Answer:I think 82 or 56
Step-by-step explanation:
In the given figure, AD is adjacent to BC.
if AB = 13 cm, BD = 5 cm and DC = 16 cm,
find the values of :
(I) sin B
(II) sec B
(III) cot B
(iv) cos C
(v) cosec C
(vi) tan C
By using the method of trigonometry,
(1)sin B=P/H=AD/AB=12/13
(2)sec B=H/B=AB/BD=13/5
(3)cot B=B/P=BD/AD=5/12
(4)cos C=B/H=CD/AC=16/20=4/5
(5)cosec C=H/P=AC/AD=20/12=5/3
(6)tan C =P/B=AD/DC=12/16=3/4
What is trigonometry?Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are the trigonometric functions (sometimes known as the circle functions) that make up trigonometry. The unit circle is the most straight forward way to define the trigonometric functions. Let theta represent an angle that is calculated along a circle's arc counterclockwise from the x-axis.
Given that,
[tex]AD^{2}= AB^{2}- BD^{2}= 13^{2}- 5^{2}= 169-25= 144[/tex]
=>AD=12cm
(1)sin B=P/H=AD/AB=12/13
(2)sec B=H/B=AB/BD=13/5
(3)cot B=B/P=BD/AD=5/12
[tex]AC^{2}= AD^{2}+ DC^{2}= 12^{2}+ 16^{2}= 144+ 256= 400[/tex]
=>AC=20cm
(4)cos C=B/H=CD/AC=16/20=4/5
(5)cosec C=H/P=AC/AD=20/12=5/3
(6)tan C =P/B=AD/DC=12/16=3/4
note: P=perpendicular
B=base
H=hypotenuse
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If QR = 6x, RS = 10, and QS = 5x + 13, what is QS?
If QR = 6x, RS = 10 and QS = 5x+13, then the length of the line QS is 28 units.
The length of the line QR = 6x
The length of the line RS = 10
The length of the line QS = 5x+13
We know
The length of the line QS = The length of the line QR + The length of the line RS
Substitute the values in the equation
5x+13 = 6x + 10
Move the 6x to the left hand side of the equation and move 13 to the right hand side of the equation
5x-6x = 10-13
Subtract the terms
(5-6)x = 10-13
-1x = -3
x = 3
Then the length of the QS = 5x+13
Substitute the value of x in the equation
The length of the line QS = 5×3+13
= 15+13
= 28 units
Hence, if QR = 6x, RS = 10 and QS = 5x+13, then the length of the line QS is 28 units
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express the mix number as the sum of an integer and a fraction.
-1 2/3 = + (2/3)
We will add 1 to 2/3 to make sum of [tex]1\frac{2}{3}\\[/tex] of an integer and a fraction.
What is integer?
An integer, often known as a "round number" or "whole number," is any positive or negative number that does not contain fractional or decimal parts. Examples are 3, -10, and 1,025 which are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 12 (fraction) which are not.Three categories of integers exist: Negative integers with a value of 0 (Natural numbers) Integer Negatives (Additive inverse of Natural Numbers).What is fraction?
An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.- [tex]1\frac{2}{3}[/tex] = _ + (2/3)
we will add 1 to 2/3 to make sum of [tex]1\frac{2}{3}\\[/tex] of an integer and a fraction.
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anyone have a clue on how to do this?
If CA and CE are opposite rays, CH bisects ∠ GCD, and GC bisects ∠ BGD. If m ∠ BGC = (7x - 2)° and m ∠ CGF = (8x - 8)°, then the value of m ∠ BGF exists 80°.
What is meant by angles?An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The two rays are called the sides of an angle, and the common endpoint is called the vertex.
If CA and CE are opposite rays, CH bisects ∠ GCD, and GC bisects ∠ BGD.
Given: m ∠ BGC = (7x - 2)° and m ∠ CGF = (8x - 8)°,
m ∠ BGC = m ∠ CGF
7x - 8 = 8x - 8
substracting 2 from both sides of the equation, we get
7x - 8 = 8x - 8 - 8
7x - 8 = 8x
simplifying the above equation, we get
x = 6
Therefore, the value of x = 6.
⇒ m ∠ BGC = m ∠ C G F = 40°
Therefore, the value of m ∠ BGF = 2(40)° = 80°
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During 712months of hibernation, a black bear experienced a weight loss of 64.5 pounds.
On average, what was the bear’s weight change per month?
On average, the bear's weight change per month was 8.6 pounds.
What is the average?The average is the mean value in a data set.
We compute the average by adding the data values and dividing by the number of items in the data set.
In this scenario, the average weight loss per month offers an idea of the weight change the bear experienced during the 7¹/₂ months.
The number of months during hibernation = 7¹/₂ or 7.5 months
The total weight loss = 64.5 pounds
The average weight change per month = 8.6 pounds (64.5/7.5)
Thus, we can conclude that, on average, the bear experienced a weight loss of 8.6 pounds per month and reduced by a total of 64.5 pounds in 7¹/₂ months.
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Question Completion:During 7 1/2months of hibernation, a black bear experienced a weight loss of 64.5 pounds.
Write a simplified equation in point-slope form.
Line 1: m = -3, passes through (-4, 10)
Answer:
y=-3x-2
Step-by-step explanation:
y=mx+b; adjust b value --> y=-3x-2
how many non-empty subsets of consist entirely of prime numbers? (we form a subset of the group of numbers by choosing some number of them, without regard to order. so, is the same as .)
The question is testing knowledge on subsets. The application of combinations is used to sum up. Consider prime factors between 1 and 11. They are{1,2,3,4,5,6,7,8,9,10,11}.
The prime factors in the set are {2,3,5,7,11}. This set has 5 elements.
Apply combinations to obtain the total subsets.
The subsets with 1 element is 5C1 = 5 subsets
The subsets with 2 elements is 5C2= 10 subsets
The subsets with 3 elements is 5C3= 10 subsets
The subsets with 4 elements is 5C4= 5 subsets
The subsets with 5 elements is 5C5= 1 subset
The total non-empty subsets are 5+10+10+5+1 = 31 subsets.
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Can anyone tell me if what i put is correct? Thank you!
twice the sum of -17 and a number is -14
After thoroughly calculating we have come to find that, a number twice the sum of -17 and -14 is −62
How to find sum of two numbers?To sum and complete mathematical operations, numerical values are needed. Numbers are used to represent numerical values, and they can also be used to represent them alphabetically. For instance, the number 22 can be expressed in writing or by using the alphabet 22. One more example is the number 3, which can be written as 3.
Numbers can take many different forms. Examples of opposites include odd and even, fraction and integer, rational and irrational, natural and whole, and many more. A few of the operations include arithmetic, algebra, and trigonometry.
Twice the sum of -17 and -14 is
2((-17) + (-14))
⇒ 2(-17 -14)
⇒ 2 × (-31)
⇒ −62
So, a number twice the sum of -17 and -14 is −62.
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Solve the absolute value by re writing it as an equaulant compound in
| 3x - 1 > 11
The solution of the inequality will be;
⇒ x > 4 or x < -10/3
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is;
|3x - 1| > 11
Now, The inequality is solved as;
|3x - 1| > 11
⇒ 3x - 1 > 11 or 3x - 1 < -11
Solve the inequality as;
⇒ 3x - 1 > 11
Add 1 we get;
⇒ 3x - 1 + 1 > 11 + 1
⇒ 3x > 12
Divide by 3;
⇒ x > 4
And, Solve the inequality as;
⇒ 3x - 1 < - 11
Add 1 we get;
⇒ 3x - 1 + 1 < - 11 + 1
⇒ 3x < -10
Divide by 3;
⇒ x < -10/3
Thus, Solution of the inequality will be;
⇒ x > 4 or x < -10/3
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uh?????????????????????????
Answer:
I'm sure it's 1.2506407mm
Step-by-step explanation:
A
(3x+8)°
B=
(6x-2)
C =
69°
x=?
CAB=?
ACB=
ABC=
The value of x is 11.7.
The angles CAB, ACB, and ABC are 43.1°, 69°, and 68.2° respectively.
What is the Angle Sum Property?According to the triangle's "angle sum property," a triangle's three inner angles can never add up to more than 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180°, regardless of whether it is acute, obtuse, or right.Given angles are:
A = (3x+8)°
B= (6x-2)°
C = 69°
Using the Angle sum property we get,
(3x+8)° + (6x-2)° + 69° = 180°
9x + 75° = 180°
9x = 180°- 75°
x = 11.7
CAB = (3 × 11.7 + 8)° = 43.1°
ACB = 69°
ABC = (6 ×11.7 - 2) = 68.2°
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The ratio of men to women working for a company is 4 to 7. If there is 253 employees total, how many men work at the company
Answer:
92 men
Step-by-step explanation:
First, since they give you the total employees, you need to add the ratios together to get a total.
4 + 7 = 11
Next, setup a proportion using men to total employees.
[tex]\frac{4}{11}=\frac{m}{253}[/tex]
The left side is the ratio and the right side is the actual. m will represent the total number of men employed.
Cross multiply then divide.
4 x 253 = 1012
11 x m = 11m
11m = 1012
11m/11 = 1012/11
m = 92
10
4. The English language consists of vowels and consonants totaling 26 letters. A,
E, I, O, U, and Y are the English vowels and the rest are consonants.
A. What is the ratio of consonants to vowels in the English language? (3
points)
B. What fraction of the letters of the English language are vowels? (3 points)
The ratio of consonants to vowels is 21:5.
What is ratio?
A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4), while the ratio of oranges to overall fruit is 8:14. (or 4:7).
No. of consonants = 21
No. of vowels = 5
(A) Ratio of consonant to vowels = 21/5 = 21:5
(B) Fraction of vowels = 5/26
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The Distributive Property Use the Distributive Property to rewrite each expression without parenthesis. 1. 6(x + 3) 2. 5( y - 4 ) 3. -7( m - 1 )
Answer:
1. 6x+18 2. 5y-20 3. -7m+7
Step-by-step explanation:
1. 6(x+3) 2. 5(y-4) 3. -7(m-1)
6x+24. 5y-20. -7m+7 <--- - times - = +
A magazine subscription has a cover price of $35. Amanda received an offer for 67% off the cover price. What is the sale price of the magazine subscription?
The sale price of the magazine subscription is $11.55
How to calculate the sale price of the magazine subscription?From the question, the given parameters are:
Subscription = $35
Discount = 67% off
The sale price of the magazine subscription is then calculated as
Sales price = Subscription x (1 - Discount)
Substitute the known values in the above equation
So, we have the following equation
Sales price = 35 x (1 - 67%)
Evaluate the product
Sales price = 11.55
Hence, the sales price is $11.55
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Dentro de 65 años tendré 6 veces la edad que tenía hace 10 años ¿qué edad tengo?
Based on the calculations, the age of this person is equal to 25 years.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In order to solve this word problem, we would assign a variable to the age of this person and then translate the word problem into algebraic equation as follows:
Let x represent the age.
Translating the word problem into an algebraic equation, we have;
x + 65 = 6(x - 10)
Opening the bracket, we have:
x + 65 = 6x - 60
Re-arranging the equation, we have:
6x - x = 60 + 65
5x = 125
Dividing both sides by 5, we have:
x = 125/5
x = 25 years.
In conclusion, we can reasonably infer and logically state that this person's age was 25 years ten (10) years ago.
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Complete Question:
In 65 years I will be 6 times as old as I was 10 years ago. How old am I?
Find the distance from point A (-1, 7) to the line y = 3r. Round your answer to the nearest tenth.
The distance is about
units.
Answer:
We will get that the distance is 3.22.
Write an equation that represents the line.
Use exact numbers.
Answer:
y=4/3-5
Step-by-step explanation:
Y=mx+c
mx=gradient which is 4/3
c is y intercept which is -5
There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. The point (6,47.94) is shown on the graph below.
What is the constant of proportionality in this relationship?
$7.99 is the constant of proportionality in this relationship.
What is proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant. The relationship between two quantities is constant for all values when they are proportional, which indicates that as one quantity rises, the other rises as well. An illustration would be the ratio of a circle's circumference to its diameter, which is equal to pi.
Given Data
The cost for 6 months is $47.94.
x = number of months
x = 6
y = total amount of money they have paid for the subscription
y = 47.94
Constant of proportionality = [tex]\frac{47.94}{6}[/tex]
Constant of proportionality = 7.99
$7.99 is the constant of proportionality in this relationship.
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what fraction of one minute is 7 seconds
Choose the expression that is equivalent to a fraction with nine raised to the negative third power in the numerator and the quantity three raised to the negative second power times nine squared end quantity in the denominator and the entire fraction is cubed.
The expression that is equivalent to a fraction with nine raised to the negative third power in the numerator and the quantity three raised to the negative second power times nine squared end quantity in the denominator and the entire fraction is cubed is [tex]\frac{3^{6} }{9^{15} }[/tex]
Nine raised to the negative third power = [tex]9^{-3}[/tex]
Three raised to the negative second power times nine squared = [tex](3x^{-2})(9^{2} )[/tex]
The expression is [tex](\frac{9^{-3} }{(3^{-2})(9^{2} ) } )^{3}[/tex]
=[tex]\frac{9^{(-3)(3)} }{(3^{(-2)(3)})(9^{(2)(3)} }[/tex]
=[tex]\frac{9^{-9} }{(3^{-6})(9^{6}) }[/tex]
= [tex]\frac{3^{6} }{(9^{9})(9^{6}) }[/tex]
= [tex]\frac{3^{6} }{9^{15} }[/tex]
Hence, the expression that is equivalent to a fraction with nine raised to the negative third power in the numerator and the quantity three raised to the negative second power times nine squared end quantity in the denominator and the entire fraction is cubed is [tex]\frac{3^{6} }{9^{15} }[/tex]
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service call has just come in, but the type of malfunction is unknown. it is p.m. and service technicians usually get off at p.m. what is the probability the service technician will have to work overtime to fix the machine today?
(a) The probability distribution table is provided in the attachment.
(b) The probability distribution of X is discrete.
Let X = number of hours a service calls take.
(a)The probability of an event E is:
P(E)=n(E)/N
Here,
n (E) = number of favorable outcomes
N = total number of outcomes.
The probability distribution table is provided in the attachment.
(b)For a discrete probability distribution:
f(x) >= 0
summation f(x)= 1
Check that the probability distribution of X is discrete as follows:
The value of f (x) for all values of x is greater than 0.
The sum of all f (x) is 1.
Thus, the probability distribution of X is discrete.
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Find the equation of the line that contains the point P(−4, 6) and has slope 4. (Let y be the dependent variable and let x be the independent variable.)
The equation of the line that contains the point P(-4,6) and has slope 4 is y=4x+22 .
The equation of line passing through the point (x₁,y₁) with slope (m) is given by the formula
(y-y₁)=m(x-x₁)
In the question ,
it is given that
the required line passes through the point P(-4,6) and has slope 4
So, x₁= -4 , y₁=6 and m = 4
Substituting the values of x₁, y₁ and m in the equation of line formula , we get
y-6=4(x-(-4))
y-6=4(x+4)
y-6=4x+16
y=4x+16+6
y=4x+22
Therefore , the equation of the line that contains the point P(-4,6) and has slope 4 is y=4x+22 .
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An object in real life is 55 feet long. How many inches long should it be in the scale drawing?
When a scale factor of 1 inch to 6 feet is used, the length is 9 inches.
How to illustrate the information?From the information illustrated, a scale factor of 1 inch to 6 feet is used. In this situation, an object in real life is 55 feet long.
The number of inches that should be in the scale drawing will be:
= Number of feet / Scale used
= 55 / 6
= 9.17 inches
The length that should be in the scale is 9 inches.
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A scale factor of 1 inch to 6 feet is used. An object in real life is 55 feet long. How many inches long should it be in the scale drawing?
Apply Laws of Exponents to write an equivalent expression.
d6df0
Answer: move the base and exponent to the other side of the fraction line and change the exponent to positive: 1/(24)
Last night, Bruce completed all 5 levels of his favorite video game, Extreme Treasure Hunter. In the game, you can earn points by collecting gemstones or finding pieces of the treasure map. Bruce collected 10 gemstones in each level, earning x points per gemstone. He also earned 30 points in each level by finding pieces of the treasure map! Pick all the expressions that represent Bruce's score at the end of the game.
The expressions that represent Bruce's score at the end of the game will be 5(10x) + 30(5) = 150 + 50x.
How to illustrate the expression?From the information, Bruce completed all 5 levels of his favorite video game, Extreme Treasure Hunter and in the game, you can earn points by collecting gemstones or finding pieces of the treasure map.
The expression to illustrate the number of points will be:
= 5(10x) + 30(5)
where c = number of points per gemstone
= 50x + 150
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