Answer:
I am not sure if you're accustomed to using a z-score and table of probabilities or technology, so I will answer using both!
a) Since you're choosing one person from the population, you will use the mean and standard deviation from the population. z= (210.9-197.5)/8.6 = 1.56 Using a table of normal probabilities,
P(x>210.9)= 1-P(z<1.56)= 1- 0.9406=0.0594
Using technology: normalcdf(210.9, 1E99, 197.5, 8.6)=0.0596
b) Since you're calculating the population for a sample to occur, you need to get a mean of the sampling distribution and standard deviation of the sampling distribution.
Meanpop=Meansampling dist.=197.5
St. Devsampling dist.= Stdpopulation/√n = 8.6/√15 = 2.22
Using technology, P(X>196.20)= normalcdf( 196.20, 1E99, 197.5, 2.22) = 0.7209
c) You only have to worry about the sample size in a sampling distribution if you either do not know the shape of the distribution of the population or if the distribution of the population is not normally distributed. Since this population is normally distributed (as stated in the given information), then your sample size does not have to be greater than 30.
Step-by-step explanation:
every 3 out of 12 vehicles on a highway is a truck. How many trucks are expected to be on the highway with 3600 vehicles
Answer:
900 trucks on a highway with 3600 vehicles
Step-by-step explanation:
3 out of 12 is also 1/4 (one quarter)
so 3600 ÷ 4 = 900 trucks on a highway with 3600 vehicles
hope this helps :))
PLEASE HELP‼️ WILL MARK BRAINLIST‼️‼️
Answer:
A = 28 cm²
Step-by-step explanation:
area of square = 4 × 4 = 16 cm²
area of trapezium = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height and b₁ , b₂ the parallel bases
here h = 2 , b₁ = 8 , b₂ = 4
area of trapezium = [tex]\frac{1}{2}[/tex] × 2 × (8 + 4) = 1 × 12 = 12 cm²
area of the logo (A) = 16 + 12 = 28 cm²
Can I have help in the next few minutes?
there are 3 blanks i need the info for
Answer:
a) (2x + 1)(3x - 4)
b) 546
Step-by-step explanation:
a)
We need to try to factor the polynomial.
6(-4) = -24
6x² - 8x + 3x - 4 = 2x(3x - 4) + 1(3x - 4) =
= (2x + 1)(3x - 4)
b)
6(10)² - 5(10) - 4 = 600 - 50 - 4 = 546
Answer:
(a) when x = 2: width = 2 units and length = 5 units
(b) 546 units²
Step-by-step explanation:
Given expression:
[tex]6x^2-5x-4[/tex]
Part (a)
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find 2 two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]
Two numbers that multiply to -24 and sum to -5: -8 and 3
Rewrite [tex]b[/tex] as the sum of these 2 numbers:
[tex]\implies 6x^2+3x-8x-4[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 3x(2x+1)-4(2x+1)[/tex]
Factor out the common term [tex](2x+1)[/tex]:
[tex]\implies (3x-4)(2x+1)[/tex]
Therefore:
[tex]\implies x=\dfrac{4}{3}, \: x=-\dfrac{1}{2}[/tex]
As distance is positive, [tex]x > \dfrac{4}{3}[/tex]
Let [tex]x=2[/tex]
[tex]\implies (3(2)-4)(2(2)+1)[/tex]
[tex]\implies (2)(5)[/tex]
Therefore, possible dimensions of the rectangle are:
width = 2 units
length = 5 units
Part (b)
Substitute [tex]x=10[/tex] into the equation:
[tex]\begin{aligned}\implies 6(10)^2-5(10)-4&=600-50-4\\&=546\end{aligned}[/tex]
PLEASE HELP ITS DUE IN 10 MINUTES!!!!!
Answer:
76 Square Feet
Step-by-step explanation:
First, add all the numbers you see up. Your final answer of square feet will be the total you added up as a whole.
24+14+4+6+5+3+15+5= 76
Answer:
IM NOT. NNOT SURE BUT I THINK... the area may be 177? if i did it right, please check my equations though!
Step-by-step explanation:
so we first have to find the area of alllll the rectangles/squares in that weird squiggly shape
lets do the top
the width is 15 ft and the length is 5ft
so to find the area you have to do length times with so
A = lw
A = 15(5)
A = 75
so the first shape is 75
now lets do something real quick (im sorry this is all messed up infromation i have a dba (call) in like 16 mins and i gotta hurry. but illl come back if you need more explinations)
let first shape be f
let second shape be s
let third shape be t
let R be the area of the total shape
f + t + s = R
75 + t + s = R
now to find t
so the width would be 9ft and the length would be 8ft
A = lw
A = 9(8)
A = 72
75 + 72 + s = R
now to find s
the width is 5fth and the length is 6ft
A = lw
A = 6(5)
A = 30
now i think we add?
75 + 72 + 30 = R
75 + 102 = R
177 = R
i think the area is 177? (if i remeber how to do this correctly)
btw I will come back later and upload a pic of how i did it if you like. i must go now cause my teacher is gonna ask me civics questions and im so bad at that subject!!!!
Find the perimeter of the figure.
Victoria is at an elevation of 150 feet. She hikes down to an elevation of 120 feet in 40 minutes.
Then she hikes down to an
elevation of 100 feet in 30 minutes.
What is her average rate of descent, in feet per minute, from 150 feet to 120 feet?
The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute.
How to determine the average rate of descent of a hiker
Geometrically speaking, the average rate of descent (r), in feet per minute, is represented by a secant line, which represents in this case the change in elevation (Δz), in feet, divided by the change in time (Δt). A mathematical description of the formula is shown below:
r = Δz/Δt (1)
If we know that Δz = 30 ft and Δt = 40 min, then the average rate of descent is:
r = 30 ft/40 min = 0.75 ft/min
The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute. [tex]\blacksquare[/tex]
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can someone please help me with this math problem please
please help me on this
Answer:
monkey is monkey so monkey and monkey conbided = baby little happy monkey
Step-by-step explanation:
Help please i cannot fail!! What is the surface area of the pyramid?
Answer:
800
Step-by-step explanation:
Check out the attached photo
What is the area of a triangle that has a
base of 15 1/4 in. and a height of 18 in.?
PLS I NEED HELP ASAP
Thank youuuuuu
To find the area of the triangle
⇒ must know the area of the triangle's formula
⇒ [tex]\frac{1}{2} *base*height[/tex]
Let's look at the information given:
base length ⇒ [tex]15\frac{1}{4}[/tex] in ⇒ [tex]\frac{61}{4}[/tex] (when converted into an improper fraction)height length ⇒ 18 inLet's solve:
[tex]Area=\frac{1}{2} *base*height=\frac{1}{2} *\frac{61}{4} *18 = 137.55in^2[/tex]
Thus the area is 137.55 square inches
Hope that helps!
Please help me with this too , it would mean alot
Step-by-step explanation:
IF THE TEMPERATURE WAS -5° AT 5:00 am., WHAT WAS THE TEMPERATURE AT 9:00 am?
What is the value of x in the inequality 2-5x over -3 + 4<-x
Answer:
x = 0.5
Step-by-step explanation:
2-5x/-3+4 < -x is simplified to 2-5x/1<-x because -3+4 is 1.
Question 1: What are the solutions to the following graph, and what is the equation of the axis of symmetry?
Question 3: What are the coordinates of the vertex of the graph, and is it a minimum or a maximum?
Question 4: Can a parabola have both a minimum and a maximum point? Explain.
Question 5: Look at the following quadratic function. What is the domain of this function?
A) -∞
B) -5
C) -2
D) -∞
Question 6: Look at the following quadratic function. What is the range of this function?
A) -2
B) -5<=y<∞
C) -∞
D) -∞
Q1: Solutions: x = 2 and x = 4, Axis of symmetry: x = 3.
Q3: (x, y) = (-3, 5).
Q4: A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex.
Q5: [tex]x \in \mathbb{R}[/tex]
Q6: [tex]y \in [-5, + \infty)[/tex]
How to analyze second order polynomials graphically
Graphically speaking, second order polynomials are represented by parabolas. In this question we must interpret the graphs to find all the required information.
Question 1The solutions to the graph are those values of x such that the graph goes through the x-axis and the axis of symmetry is a line that goes through the vertex ot the parabola and is perpendicular to the width of the curve.
Thus, the solutions to the graph are x = 2 and x = 4 and the axis of symmetry is x = 3. [tex]\blacksquare[/tex]
Question 3The vertex is the extreme point of a parabola, which may be a minimum or a maximum, but never both. The vertex of the parabola is located at (x, y) = (-3, 5). [tex]\blacksquare[/tex]
Question 4A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex. [tex]\blacksquare[/tex]
Question 5The domain of the function is defined by the set of x-values such that the function exists. Thus, the domain of the quadratic function is [tex]x \in \mathbb{R}[/tex]. [tex]\blacksquare[/tex]
Question 6The range of the function is defined by the set of y-values such that the function exists. Thus, the range of the quadratic function is [tex]y \in [-5, + \infty)[/tex]. [tex]\blacksquare[/tex]
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could i have some super quick help? :((
optionally would appreciate some help with what i posted here as well
https://brainly.com/question/27457645
Answer:
a) y = (x - 3)²
b) y = x² - 4
c) y = (x + 2)²
d) y = x² + 5
e) y = (x + 6)² - 7
f) y = (x - 2)² + 5
Step-by-step explanation:
Parent equation: y = x²
Transformed equation: y = (x - h)² + k
h translates the parabola horizontally
If h > 0 then the translation is h units to the right.
If h < 0 then the translation is h units to the left.
If h = 0 then there is no horizontal translation.
k translates the parabola vertically
If k > 0 then the translation is k units up.
If k < 0 then the translation is k units down.
If k = 0 then there is no vertical translation.
a) The parabola moves 3 units to the right:
⇒ y = (x - 3)² + 0
⇒ y = (x - 3)²
b) The parabola moves 4 units down:
⇒ y = (x - 0)² - 4
⇒ y = x² - 4
c) The parabola moves 2 units left:
⇒ y = (x + 2)² + 0
⇒ y = (x + 2)²
d) The parabola moves 5 units up:
⇒ y = (x - 0)² + 5
⇒ y = x² + 5
e) The parabola moves 7 units down and 6 units left:
⇒ y = (x + 6)² - 7
f) The parabola moves 2 units right and 5 units up:
⇒ y = (x - 2)² + 5
#a
3 units right in x axisEquation
y=(x-3)²+0#b
4 units down in y axis
y=(x-0)²-4#c
2 units left in x axis
y=(x+2)²+0#d
5 units up in. y axis
y=x²+5#e
7units down in y axis and 6 units left in x axis
y=(x+6)²-7Create 2 data sets with 5 numbers that have the same mean but different medians.
Step-by-step explanation:
mean = sum of all data points / number of data points
median = the number, where half of the other numbers is larger, and the other half is smaller.
4 4 5 6 6
2 2 3 9 9
both mean values are 5.
the median of the 1st is 5, if the second is 3.
Find the domain of the rational function.
f(x)=x−7/x+8
Enter your answer in interval notation.
The domain of the function in interval form is (-∞, -8) U (-8, ∞)
How to find the domain of a function?
The domain of a function is the point where the real value of the function exists.
Given the funciton
f(x) = x - 7/x+8
The function will exist on all real values except the point where the denominator is zero.
x + 8 = 0
x = -8
The domain of the function in interval form is (-∞, -8) U (-8, ∞)
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Which statement best describes why the author of "Water Efficiency Strategies" organized the text into two main sections? Question 2 options: To show readers that thinking about the supply side is more important than the demand side. To show readers that thinking about both the supply side and the demand side are important for water efficiency. To follow the structure most informational texts use when organized into two main sections to show two sides of a topic. To use one section to describe the cause and the second section to describe the effect.
Answer:
the real awnser is b
Step-by-step explanation:
The statement that best describes why author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.
Efficient use of water is necessary so as to prevent the wastage of water. Although 3/4th of the earth is covered with water, the sustainable use of water is necessary so as to preserve the pure water for the future generations. The statement that best describes why the author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.
Therefore, the statement that best describes why author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.
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0.85 divided by 0.0527
Answer:
the answer is 0.062
Step-by-step explanation:
i hope this helps pls make as brainliest
how long does it last for Fanger print
Answer:
A fingerprint can last on a surface from 2 hours to 40 years on average.
Step-by-step explanation:
Most fingerprints will get erased due to impact from humidity and heat.
Given 2 points, fill in the slope formula
and calculate the slope of the equation.
(4, 6); (7, 12)
Answer:
Slope formula:
RISE: y2(second y-coordinate) - y1(first y-coordinate)
____________________________________
RUN: x2(second x-coordinate) - x1(first x-coordinate)
y2 - y1 / x2 - x1
Plug in what we have in the order given in the formula:-
12 - 6 6
______ = ______, which simplifies to 2.
7 - 4 3
Therefore, 2 is the slope of this equation.
Answer:
Slope: 2
Step-by-step explanation:
Given points:
(4, 6)(7, 12)Slope formula: (y₂ - y₁)/(x₂ - x₁)
1. Substitue the coordinates of the points in the formula, which will determine the slope of the two points:
[Formula] Slope = (y₂ - y₁)/(x₂ - x₁)[Substitute] Slope = (12 - 6)/(7 - 4)2. Simplify the fraction. The quotient will be the slope of the line.
[Simplify] Slope = (6)/(3) = 2Thus, the slope of the line is 2.
1. which expression is equivalent to 4(9+3).
Multiple Select three expressions
A. 4(12)
B. 36+3
C. 36+12
D. 4+(9+3)
E. (9+3) +(9+3) +(9+3) +(9+3)
Answer:
A. 4(12)
C. 36+12
E. (9+3) +(9+3) +(9+3) +(9+3)
Step-by-step explanation:
[tex]4(9+3)=48[/tex]
[tex]4*9=36\\4*3=12[/tex]
[tex]48[/tex]
[tex]4*12=48[/tex]
[tex]36+12=48[/tex]
[tex](9+3) +(9+3) +(9+3) +(9+3)\\12+12+12+12[/tex]
=48
If you’re 16 how many months would you have to live to be 66
Answer:
ig 2 months
Step-by-step explanation:
If you were born in 1955 your full retirement age is 66 and 2 months. If you start receiving benefits at age 66 and 2 months you get 100 percent of your monthly benefit. If you delay receiving retirement benefits until after your full retirement age, your monthly benefit continues to increase.
Use rounding to estimate the product of 296 and 2, 423. Round both
numbers to the nearest hundred to find your answer.
The solution is
Answer:
Step-by-step explanation:
no problem
296 rounded to the nearest hundred would be 300 and 2423 would be 2400 there hope it helps
The product of 296 and 2.423 rounded to the nearest hundred would be 717.20
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of trimmed from the right in terms of exact digits.
We need to find the product of 296 and 2.423
296 x 2.423 = 717.20
Thus, 717.20 rounded to the nearest hundred .
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Kevin has a part time job. he earns £9 an hour. he wants to buy a new bike costing £306. how many hours does Kevin have to work to earn enough to buy it?
Answer:
34
Step-by-step explanation:
306/9=34
If it costs $.25 per square yard to seed an area of grass, how much does it cost to seed in the inside of this track
51yd, 102yd, 51yd, and 110yd
The price that it cost to seed the inside of this track is $1,040.4
How to calculate the area of a rectangleThe formula for calculating the area of a rectangle is expressed as:
A = length * width
Let the length be 51 and the width be 102 yd such that:
Area of the grass = 51 * 102
Area of the grass = 5202 square yard
If it costs $.25 per square yard to seed an area of grass, the price fror the area inside the track is:
Price = 0.2 * 5202
Cost of the track = $1,040.4
Hence the price that it cost to seed the inside of this track is $1,040.4
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Calculate the value of X
4. What is the difference between 34.062 And 2.87
M. 31.192
P. 31.292
R. 32.192
S. 33.775
Add 2/9+4/9 Simplify your answer.
Answer:
2/3
Step-by-step explanation:
2/9+4/9=6/9
6/3=2 9/3=2
6/9=2/3
Renee bought her mother 2 pounds of ground coffee. Her mother uses 4 ounces per
day to brew coffee. Did Renee buy her mother enough coffee for a week?
Begin by converting 2 pounds to ounces. Choose the words and numbers to
complete the statements.
Part A
A pound is a Choose...
v unit than an ounce, so Choose...
the
number of pounds by 16 to find the number of ounces. Therefore, 2 pounds is equal
to Choose...
ounces.
Answer:
I do know Part B. No, Renees mom does not have enough, since 4 ounces per day, isn't enough coffee. Hope this helped!
Step-by-step explanation:
Help please! I have to turn this in today.
:)
Answer:
Integer: 9
Nearest 10th: 9.5
Step-by-step explanation: