Answer:
1. c. 34%
2. b. 7.8 hours
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Mean of 6 hours, standard deviation of 1.5 hours.
1. Approximately what percent of people sleep between 6 and 7.5 hours per night?
6 hours = mean
7.5 hours = 6 + 1.5 = 1 standard deviation above the mean.
Approximately 68% of the measures are within 1 standard deviation of the mean. Since the normal distribution is symmetric, 34% are between one standard deviation below the mean and the mean, and 34% are between the mean(6 hours) and 1 standard deviation above the mean(7.5 hours). So the answer is 34%, given by option c.
2. If Aaron had a Z score of 1.2 how many hours did he sleep?
We have that [tex]Z = 1.2, \mu = 6, \sigma = 1.5[/tex]. We have to find X.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.2 = \frac{X - 6}{1.5}[/tex]
[tex]X - 6 = 1.2*1.5[/tex]
[tex]X = 7.8[/tex]
So option b.
Write the recurring decimal 0.1 as a fraction in its simplest form
Answer:
1/9
Step-by-step explanation:
lol
Gina has one-third scale model of a three-dimensional solid, meaning that all lengths
of the model are 1/3 of the corresponding lengths in the full-size solid. If the volume of
Gina’s model is 20 cubic inches, what is the volume of the full-sized solid?
Answer:
volume is 540 inches^3
Step-by-step explanation:
The computation of the volume of the full sized solid is given below:
The length would be
[tex]\frac{a}{3}, \frac{b}{3}, \frac{c}{3}[/tex]
And, the volume is
[tex]\frac{a}{3} \times \frac{b}{3} \times \frac{c}{3}[/tex]
As the volume is given 20 cubic inches
So,
[tex]\frac{abc}{27} = 20\\\\abc = 540 inches^3[/tex]
hence, volume is 540 inches^3
Square B is a dilation of square A. What is the scale factor?
This question is incomplete, the missing diagram is uploaded along this answer below.
Answer:
the scale factor is 5/4
Step-by-step explanation:
Given the data in the image below;
B is a dilation of square A, scale factor = ?
B is a dilation of square A, that is; B is a larger form of square A.
now, to get the scale factor;
The side length of Square B = 35
The side length of Square A = 28
so, the scale factor k will be;
K = 35 / 28
divided both the numerator and denominator by 7
K = 5/4
Therefore, the scale factor is 5/4
(3.5 x 10^5) : (7x10^8)
What is the answer to this question?
: is divide
Answer:
5 • 10^-4 I evaluate this by using scientific notation.
The value of the ratio (3.5 x 10⁵) : (7x10⁸) is 0.0005.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
To solve (3.5 x 10⁵) : (7x10⁸), we can simplify the expression by dividing the numerical coefficients and dividing the exponents separately.
Dividing the numerical coefficients 3.5 and 7, we get:
3.5 ÷ 7 = 0.5
Dividing the exponents 5 and 8, we get:
10⁵ ÷ 10⁸ = 10⁵⁻⁸
= 10⁻³
Therefore, the simplified expression is:
0.5 x 10⁻³
We can further simplify this expression by converting 10⁻³ to a decimal:
10⁻³ = 1/1000 = 0.001
So, the final answer is:
(3.5 x 10⁵) : (7x10⁸) = 0.5 x 10⁻³
= 0.5 x 0.001
= 0.0005
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. A un concierto asistieron 10000 personas , lo que representó un total de
$6600000 en ingresos por venta de boletos. Había boletos de dos precios
de acuerdo con la proximidad al escenario: general ($500) y preferente
($1300). ¿Cuántos boletos de cada tipo se vendieron?
Answer:
Número de boletos general = 8000
Número de boletos preferente = 2000
Step-by-step explanation:
Total de personas = 10000 personas
Venta total = $6600000
Ecuación para la venta total en terminos de boletos vendidos:
Número de boletos general = variable g
Número de boletos preferente = variable p
$500g + $1300p = $6600000
Simplifica la ecuación:
5g + 13p = 66000
Subsituye una de las variables usando la ecuación g + p = 10000:
g + p = 10000 => g = 10000 - p
5g + 13p = 66000 => 5(10000 - p) + 13p = 66000
Aislar la variable p:
5(10000 - p) + 13p = 66000
50000 - 5p + 13p = 66000
8p = 16000
p = 16000/8 = 2000
g = 10000 - p = 10000 - 2000 = 8000
Número de boletos general = 8000
Número de boletos preferente = 2000
Find the area of each figure below
Answer:
25. [tex]27a^{3}b^{2}[/tex]
26. [tex]3\pi x^{3}y[/tex]
Step-by-step explanation:
For 25:
[tex]A = \frac{a+b}{2} h[/tex] (area of a trapezoid)
[tex]A=\frac{11a^{2}b+7a^{2}b}{2} *3ab[/tex] (substitute terms)
[tex]= \frac{18a^{2}b}{2}*3ab[/tex] (collect like terms)
[tex]= 9a^{2}b*3ab[/tex] (reduce the fraction by crossing out 2)
[tex]= 27a^{3}b^{2}[/tex] (calculate)
For 26:
[tex]A=\pi r^{2}[/tex] (equation of area of a circle)
[tex]A=\pi (3x^{3} y)^{2}[/tex] (enter the radius)
[tex]= 3\pi x^{3} y[/tex] (communtative property to reorder the terms)
PLEASE HELP!!!
what is the length of segment SR? units
Answer:
Its 12
Step-by-step explanation:
what is 2x - 3 = 11
Please help me I would really appreciate it thank u
Answer:
ok if you are asking for "what is x" your answer would be 7
Step-by-step explanation:
so first what I did was add the the tree to the 11 to get fourteen then i thought hmm what times 2 equals fourteen and boom I got my answer of seven
Answer:
x = 7
Step-by-step explanation:
2x - 3=11
collect like terms
11+3=2x
14 = 2x
divide both sides by 2
14/2 = 2x/2
7 = x
At a popular rock-climbing site in Yosemite National Park, a randomly selected
Answer:
please be more specific
Step-by-step explanation:
Graph the function.
h(x) = x^2+ 2x
Answer:
See attachment.
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)FunctionsFunction NotationStep-by-step explanation:
The fastest way to graph a function is to plug it into a graphing calculator.
Graphing by hand would require a table of values, plotting those points, and connecting the dots.
We can also use the parent function x² and determine the graph.
S(n) = 3n + 4, n = { 1, 2, 3, 4 }
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the equivalent expressions.
x − 4x + 6y + (14x − 5y)
7x + y
11x + y
3x + 3y + 2(2x − y)
7x − 8y
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
5(x + y) + 6(x − y)
11x − y
arrowBoth
arrowBoth
arrowBoth
arrowBoth
Reset Next
The given expressions and their equivalent expressions are:
x − 4x + 6y + (14x − 5y) ==> 11x + y3x + 3y + 2(2x − y) ==> 7x + y(5x − 3y) − x + 3x − 5y ==> 7x - 8y4(x + y) − 3(x + y) ==> x + y5(x + y) + 6(x − y) ==> 11x - yWhat are Equivalent Expressions?Equivalent expressions are expressions that have the same value when evaluated or when you simplify each of them.
Let's evaluate and simplify each of the given expressions:
x − 4x + 6y + (14x − 5y)
Open bracket
x - 4x + 6y + 14x - 5y
Combine like terms
11x + y
Therefore, x − 4x + 6y + (14x − 5y) is equivalent to 11x + y
3x + 3y + 2(2x − y)
Open bracket
3x + 3y + 4x - 2y
Combine like terms
7x + y
Therefore, 3x + 3y + 2(2x − y) is equivalent to 7x + y.
(5x − 3y) − x + 3x − 5y
5x - 3y - x + 3x - 5y
7x - 8y
Therefore, (5x − 3y) − x + 3x − 5y is equivalent to 7x - 8y.
4(x + y) − 3(x + y)
4x + 4y - 3x - 3y
x + y
Therefore, 4(x + y) − 3(x + y) is equivalent to x + y.
5(x + y) + 6(x − y)
5x + 5y + 6x - 6y
11x - y
Therefore, 5(x + y) + 6(x − y) is equivalent to 11x - y.
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Answer:
CORRECT
Step-by-step explanation:
Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows. 58 preferred comedies. 38 preferred variety shows. 44 preferred serious drama. 19 preferred comedies and variety programs. 14 preferred variety and serious drama. 15 preferred comedies and serious drama. 7 preferred all types. 5 did not like any of these TV show types. If you were the personnel manager, would you hire Matt on the basis of this survey
Answer: No, I wouldn't because he didn't do what he was told.
Step-by-step explanation: Using Matt's survey we draw a Venn Diagram.
Venn Diagram is a diagram used to show the logical relationship between two or more set of items.
The survey Matt did is represented below.
To construct the diagram:
1) Create 3 sets of data (represented by the circles) intersecting each other;
2) The space where the three intersect is the number of people surveyed that preferred all types. So, we write 7 in the space;
3) According to the research, 19 preferred comedies and variety. But there are already 7 in the intersect, so, 12 has those preferences;
4) Following the same logic, 14 preferred variety and drama. Then, 7 has those preferences;
5) And, 8 preferred comedy and drama;
6) Now, to determine how many of them has an exclusive preference, we take the data and subtract the already known values:
Comedy: 58 - 12 - 7 - 8 = 31;Variety: 38 - 12 - 7 - 7 = 12;Drama: 44 - 8 - 7 - 7 = 22;7) 5 don't like any of the types, so it is represented outside the three circles;
After creating the Diagram, we can determine how many people answered the poll:
total = 31 + 12 + 12 + 8 + 7 + 7 + 22 + 5
total = 104
Therefore, as a personnel manager, I wouldn't hire Mr. Matic because he was supposed to poll 100 people but he polled 104 people.
what is this 3d shape called
Answer:
The name of the shape is Hexagonal Prism
(giving brainiest)
A bottle holds 2 pints. A carton holds 3 cups. What is the total the two containers hold in fluid ounces?
A. 6 fluid ounces
B. 32 fluid ounces
C. 56 fluid ounces
D. 66 fluid ounces
Answer:
your answer is c (56 fluid ounces)
Step-by-step explanation:
4x -(9 - 3x) = 8x -1
Answer:
x = -8
Step-by-step explanation:
4x - (9 - 3x) = 8x - 1
remove parenthesis
4x - 9 + 3x = 8x - 1
add 9 to both sides
4x + 3x = 8x + 8
subtract 8x from both sides
-x = 8
x = -8
The solution to the equation 4x - (9 - 3x) = 8x -1 is x = -8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
4x - (9 - 3x) = 8x -1
Open the brackets
So, we have
4x - 9 + 3x = 8x - 1
Evaluate the like terms
So, we have the following representation
7x - 9 = 8x - 1
Next, we have
8x - 7x = 1 - 9
So, we have
x = -8
Hence, the solution is x = -8
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What is 27 players for 12 spots expressed as a rate?
Answers
9 players 4 spots
9 players 2 spots
12 spots 27 players
3 plays 2 spots
Answer:
9 p 4 s
Step-by-step explanation:
That's the answer.
A. 9 players 4 spots
what is rate and its example?In math, a rate is a ratio that compares two different portions that have distinct units. for example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
rate is a ratio among measurements using different units, for example, births per year, cost per person, words per minute.
All rate problems can be solved by using the formula D = R(T), which translates to distance (D) equals rate (R) multiplied by time (T)
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Enter a phrase for the expression. 49s
Write an equivalent expression. 4x - x
Answer:
5x-2x
Step-by-step explanation:
4x-x = 3x
so,
5x-2x = 3x
The equivalent expression would be; 5x-2x
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We are given that the expression as; 4x - x
We need to find an equivalent expression.
Therefore, solving further;
4x-x = 3x
Thus, we can also create one expression as;
5x-2x = 3x
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negative 5x plus 4y equals 3 i need x and y please
Answer:
x = 9
y = 12
Step-by-step explanation:
-5x + 4y = 3
x = 2y - 15
Manipulate the equations such that the coefficients of two variables are additive inverses
-5x + 4y = 3
x = 2y - 15
Inverse operations
-> 4y - 3 = 5x
-> 2y - 15 = x (*(-5))
->4y - 3 = 5x
-> -10y + 75 = -5x
Now add the equations to eliminate a variable,
4y - 3 = 5x
-10y + 75 = -5x
-6y + 72 = 0
Inverse operations
-6y + 72 = 0
72 = 6y
/6 /6
12 = y
Back solve to find (x)
2y - 15 = x
2(12) - 15 = x
24 - 15 = x
9 = x
WILL GIVE BRAINLIEST FOR RIGHT ANSWER.
what is the answer for the for this equasion
x=5x6
Answer:
x=30 should be the answer
Answer:
x=30
Step-by-step explanation:
x=5×6
Multiply 5 and 6 to get 30.
x=30
This needs to be done quickly!!
Answer:
3x-5
Step-by-step explanation:
The bus driver has driven 49 miles this morning. His route is 123 miles. How much further must he drive to finish his route
Answer:
74 miles
Step-by-step explanation:
Answer:
74 miles
Step-by-step explanation:
123-49=74
What’s the equation of the line?
Answer:
y= -7
Step-by-step explanation:
El producto de w y 9
Answer:
Step-by-step explanation:
is 6 a factor for 71
Answer:
no its not kpfkansnsbsdhdbdb
In a painting of the Mona Lisa, the length of the painting is 4 1/2 inches. Milo scales the drawing up by 2 3/4?
what kind of idiotic question is that
does a idiot teacher exists?
Use structure: How is subtracting -4x from 9x similar to subtracting -4 from 9?
Answer:
It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end
I need help quick!!!!
Answer: I cant see the picture
Step-by-step explanation: