Answer:
the answer to this problem is 703.7 in^2
Drag each number to a box on the right to match each expression on the left with its product.
0.832 added to
Expression Product
83.2 × 0.1
832
8.32 × 102
8.32
83.2 × 102
8,320
832 × 0.001
0.832
The match has done below:
What is expression?An expression is a set of terms combined using the operations +, – , x or , /.
83.2*0.1= 8.32
8.32 × 102=848.64
83.2*102=8486.4
832 × 0.001=0.832
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work hours
frequency
0 - <10
45
10 - <20
33
20 - <30
20
30 - <40
7
40 - <50
8
Use your calculator to find the mean and standard deviation
The mean and the standard deviation are 16.15 and 12.03, respectively
How to determine the mean and the standard deviation?The table of values is given as:
Work hours Frequency
0 - <10 45
10 - <20 33
20 - <30 20
30 - <40 7
40 - <50 8
Start by rewriting the table using the midpoint of each class
x f
5 45
15 33
25 20
35 7
45 8
The mean is then calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
This gives
[tex]\bar x = \frac{5 * 45 + 15 * 33 + 25 * 20 35 * 7 + 45 * 8}{45 + 33 + 20 + 7 + 8}[/tex]
Evaluate the sum and the products
[tex]\bar x = \frac{1825}{113}[/tex]
Divide
[tex]\bar x = 16.15[/tex]
The standard deviation is:
[tex]\sigma =\sqrt{\frac{\sum f(x - \bar x)^2}{\sum f}}[/tex]
This gives
[tex]\sigma= \sqrt{\frac{45 * (5 - 16.15)^2 + 33 * (15 - 16.15)^2 + 20 * (25 - 16.15)^2 + 7 * (35 - 16.15)^2 + 8 * (45 - 16.15)^2 }{45 + 33 + 20 + 7 + 8}}[/tex]
Evaluate the sum and the products
[tex]\sigma= \sqrt{\frac{16350.4425}{113}}[/tex]
Divide
[tex]\sigma= \sqrt{144.694181416}[/tex]
Take the square root
[tex]\sigma= 12.03[/tex]
Hence, the mean and the standard deviation are 16.15 and 12.03, respectively
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What is the value of n in the equation 2n² + 4n = 0? What is the value of n in the equation 2n² + 4n = 0 ?
N = 0
2(0)² + 4(0) = 0
0 + 0 = 0
Which table shows a proportional relationship between x and y
Table second represents the proportional relationship between x and y the answer is the second table.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
As we know,
The proportional relation can be expressed mathematically:
y ∝ x
y = kx
Here k is the constant of proportionality.
k = y/x
From table second:
k = 3/2 = 6/4 = 9/6
Thus, the table second represents the proportional relationship between x and y the answer is the second table.
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Find the area of the following triangle. Round your answers to the nearest hundredth. b = 0.923 km, c = 0.387 km, A = 43.333°
O 0.26 km²
O 0.358 km²
O 0.06 km²
O 0.12km ²
Help !! I’ll mark brainliest !!
Answer:
9
Step-by-step explanation:
The opposite sides of a parallelogram are congruent.
Answer:
9
Step-by-step explanation:
Parallel sides are always equal. :)
2015-{2015÷5(x-5)÷5}=2014
Answer:
x=80.8
Step-by-step explanation:
follow BODMAS
2015-(2015÷5(x-5)÷5)=2014
2015-(2015÷5x-25÷5)=2014
2015-(405/x-5)=2014
2015-(405-5x)=2014
2015-405+5x=2014
1610+5x=2014
5x=2014-1610
(5x=404)1/5
x=80.8
Use a calculator to graph the functions y=-3x-21 and y=x³-3x-3. How many points of intersection do the
functions share?
0
1
2
3
Answer:
1
Step-by-step explanation:
When you graph the functions they intersect at one point
(-3.368119, -31.10436)
Translate and solve using proportions what percent of 120 is15
Answer:
12.5%
Step-by-step explanation:
To find what percent of 120 15 is, we must find what 15/120 is.
15/120 = 0.125. To convert to a percent, we move the decimal two places to the right. So, the answer is 12.5%.
Brainliest, please :)
Answer:
12.5%
Step-by-step explanation:
Quadratic Functions graph
Answer:
y=-x^2-4x-1
Step-by-step explanation:
when it is an arch like an upside down U then its
-x^2
it passes through the y axis at -1
its vertex or high point is -2,3 so its
-4x
Answer:
See below
Step-by-step explanation:
Dome shaped parabola so 'a' is negative
'c' is determined where x = 0
this value is -1
Axis of symmetry is the x value of the vertex (which is the high point of the dome)
x = -2
If m∠1 = 72º, then find the value of m∠2. vertical angles
If the angle 1 and angle 2 are vertical angles, hence they must be equal to each other, therefore m∠1 = m∠2 = 72º
What are vertical angles?Angles angle are angles that are equal to equal to each other in a line geometry.
Given the following parameters
m∠1 = 72º,
If the angle 1 and angle 2 are vertical angles, hence they must be equal to each other, therefore m∠1 = m∠2 = 72º
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What is the ratio of the weight of two castings that weigh 32 lbs. and 38 lbs
Answer:
16 : 19
Step-by-step explanation:
Given weights of the two castings : 32 lbs and 38 lbs respectively.
Now,
Ratio of the weights of the two castings ;
= 32 : 38
= 16 : 19
32:38
16:19
Answer:
this is my answer
82% of what number is 94.3
Answer:
let the no. be X
82% of X = 94.3
82/100 *X = 94.2
X = 94.2 *100/82
X = 94.2/0.82
X = 114.8
Answer:
115
Step-by-step explanation:
82% = 82/10 = 0.82
94.3 / 0.82 = 115
Hope this helps
Terry wants to pour cement around the edge of the circular patio in her backyard.The patio has a radius of 5 feet.What is the distance,in feet,around the edge of the patio?Use 3.14 for Pi.PLEASE EXPLAIN
E.15.7
F.31.4
G.49.3
H.78.5
Answer:
F. 31.4 ft
Step-by-step explanation:
The distance around the edge of a circle is called the circumference.
Formula for the circumference of a circle
[tex]\sf Circumference\:of\:a\:circle=2 \pi r[/tex]
(where r is the radius)
Given values:
radius = 5 ftπ = 3.14Substitute the given values into the formula:
[tex]\begin{aligned}\implies \sf circumference & = \sf 2 \cdot 3.14 \cdot 5\\ & = \sf 31.4\:ft \end{aligned}[/tex]
Therefore, the distance around the edge of the circular patio is 31.4 ft.
The distance around the edge of the patio is 31.4 feet, which is determined by the circumference of a circle. The correct answer is option (F).
To find the distance around the edge of the circular patio, we need to calculate the circumference of the circle.
The formula for the circumference of a circle is given by:
Circumference = 2 × π × radius
Given that the radius of the patio is 5 feet and using the approximate value of π as 3.14, we can now calculate the circumference:
Circumference = 2 × 3.14 × 5
Circumference = 31.4 feet
Therefore, the distance around the edge of the patio is 31.4 feet.
Hence, the correct answer is option (F).
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If the center of a circle is at (5,-7)
and its radius is 6, complete its
equation:
The equation is:
(x-5)^2+(y-(-7))^2=36
I hope it helps!
Answer: [tex]\boldsymbol{(x - 5)^2 + (y + 7)^2 = 36}[/tex]
=========================================
Work Shown:
[tex](h,k) = (5,-7) = \text{center}\\\\r = 6 = \text{radius}\\\\(x - h)^2 + (y - k)^2 = r^2\\\\(x - 5)^2 + (y - (-7))^2 = 6^2\\\\\boldsymbol{(x - 5)^2 + (y + 7)^2 = 36}\\\\[/tex]
rewrite each pair of fractions to have the same denominator 1/3 and 1/4
Answer:
1/3 and 1/4
multiplying 1/3 by 1/4 and 1/4 by 1/3 we get
1/3 * 1/4
1 *1 /3*4
1/12
1/4 * 1/3
1*1 / 4*3
1/12
now, both have same denominator.
Tim go to school.His age is a cube number.His age is double 1 square number and half a different square number.How old is Tim?
Answer:
Tim is 8 years old.
Explanation:
8 is the cube number of 2, as 2 × 2 × 2 = 8. Additionally, 8 is double 4, which is the square number of 2, and half of 16, which is the square number of 4.
Tim who goes to school is 8 years old.
Why numerical ability is important ?Good numerical ability describes your ability to think and conclude logical thoughts in your daily life also in your working role how you handle data in form of numbers, graphs, statements etc.
According to the given question Tim goes to school.
His age is a cube number let that number be x therefore age of Tim would be x³.
His age can also be defined as double of 1 square number which is 2x² and half of a different square of a numbers.
Let us equate x³ = 2x² and by hit and trial we get to know that x = 2 satisfies this condition.
So, Age of Tim could be 8 years,Now lets check our third statement half a different square number 16 is square of 4 so half of 16 is also 8.
Thus Tim is 8 years old.
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Help please!!! I will give 20 points to the correct answer !!!
Answer:
-3 and -7
Step-by-step explanation:
Factors of 21: 1, 3, 7, 21
3 and 7 add up to 10, but what about -10? Well, -3 * -7 is also 21, and -3 + -7 gives you -10.
Brainliest, please :)
3. When using set builder notation, what does it mean to 'Define a set'?
Answer:
A set is a well-defined collection of distinct mathematical objects.
A chord AB divides a circle of radius 8 cm into two segments. If AB subtends a
central angle of 45, find the area of the minor segment.
Answer:
Area of the minor segment = 2.505324230749 cm²
Step-by-step explanation:
Area of the minor segment
= Area of the sector ABC - Area of the triangle ABC
……………………………………………………………………………………
• Area of the sector ABC
= Area of the whole circle ÷ 8
= (π×8²) ÷ 8
= 8π
______
•• Area of the triangle ABC
= (1÷2) × CA × CB × sin(45)
= (1÷2) × 8 × 8 × (√2/2)
= 16√2
______
Thus
Area of the minor segment
= 8π - 16√2
= 2.505324230749
Write an equation in point-slope form of the line that passes through the given point and with the given slope m
(-9,2); m=6
The equation is [tex]\boxed{y-2=6(x+9)}[/tex].
Which graph represents the function
there are 2 more graphs but it won't add it
Answer:
[tex]f(x) = 9x^2+9x - 18/3x + 6\\= 9(x^2 + x - 2)/3(x+2)\\= 3(x^2+x-2)/x+2\\= 3(x+2)(x-1)/x+2\\= 3x - 3[/tex]
so y = 3x - 3
since 3x + 6 is on the bottom,
[tex]3x + 6\neq 0\\3x\neq -6\\x\neq -2[/tex]
so this means it should be the graph of y = 3x - 3, but with a hole at (-2, -9)
What is the domain of f(x) = 5x – 7?
{x | x > –7}
{x | x < –7}
{x | x > 0}
{x | x is a real number}
Answer:
all real number {x | x is a real number}
Henry knows that the circumstance of a circle is 18pi inches. What is the area of the circle?
a. 36pi in²
b. 81pi in²
c. 162pi in²
d. 324pi in²
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{Option B, 81}\pi\textsf{ in}^2[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{Circumference = 18}\pi[/tex]
Find: [tex]\textsf{The area of the circle}[/tex]
Solution: We need to first determine the radius using the circumference formula and once we get the radius then we can plug in the value into the area formula and get our final answer.
Determine the radius
[tex]c = 2 \pi * r[/tex][tex]18\pi = 2 \pi * r[/tex][tex]\frac{18\pi}{2\pi} = \frac{2 \pi}{2\pi} * r[/tex][tex]\frac{18\pi}{2\pi} = r[/tex][tex]9 = r[/tex]Determine the area
[tex]A = \pi * r^2[/tex][tex]A = \pi * (9)^2[/tex][tex]A = \pi * (9 * 9)[/tex][tex]A = 81\pi[/tex]Therefore, the correct answer would be option B, 81π in2.
If the sides of a square are increased by 2 inches, the area becomes 25 squares inches. Find the length of sides of the original square.
You know that the sides of a square are increased by 2 inches: the expression should be written as (x+2)
The area is 25 square inches
The area of a square is s×s or s²
so it can be solved as:
(x+2)²=25
[tex](\sqrt{x+2})^{2} =\sqrt{25}[/tex]
x+2=5
x=3
The length of the original side is 3 inches
Hope it helps!
Which of the following linear equations represents the data chart?
X Y
1 6
2 5
3 4
4 3
y=x+5
y=x+3
y = -x + 7
None of these choices are correct.
Answer: y = -x + 7
Step-by-step explanation:
The slope is [tex]\frac{5-6}{2-1}=-1[/tex], so we know the equation is of the form [tex]y=-x+b[/tex].
Substituting in the coordinates (1,6) to find b,
[tex]6=-1+b\\\\b=7[/tex]
Thus, the equation is y = -x + 7
URGENT: Click on the graph to choose the correct answer to the equation. x > 2
The graph of x >2 is attached below
Clearly, the graph of x> 2 could be area beyond 2 on positive X axis
What is graph?
The graph is a demonstration of curves which gives the relationship between x and y axis.
The question seems to be incomplete, because options are missing.
so the option can be of several graphs.
Thus, The correct Graph of x >2 has been attached below.
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A doctor's office schedules appointments in 30-minute time slots. All appointments are 30 minutes long. The office is open 8 hours per day, 5 days a week. How many appointments can they schedule, in total, for Thursday and Friday?
The total cost of a tie and a pair of pants was $87.18. If the price of the tie was $2.12 less than the pair of pants, what was the price of the tie? Express your answer as a simplified fraction or a decimal rounded to two places.
Which products result in a difference of squares? Select three options. a (x minus y)(y minus x) b (6 minus y)(6 minus y) c (3 + x z)(negative 3 + x z) d (y squared minus x y)(y squared + x y) e (64 y squared + x squared)(negative x squared + 64 y squared)
Answer:
By comparing all the expressions with the formula (a - b)(a + b) = (a² - b²), we find that c, d and e options are correct.
Step-by-step explanation:
Concept: The condition is that, the product should result in a difference of squares. In mathematics, we have such a formula which is (a - b)(a + b) = (a² - b²). So, we need to compare all the options with this relation.
(x - y)(y - x) = -(x² - 2xy + y²)
(6 - y)(6 - y) = 36 - 12y + y²
(3 + xz)(-3 + xz) = (xz + 3)(xz - 3) = x²z² - 9 . This expression is correct
(y² - xy)(y² + xy) = [tex]y^{4} - x^{2} y^{2}[/tex]. This expression is correct
(64y² + x²)(-x² + 64y²) = (64y² + x²)(64y² - x²) = [tex]4096y^{4} -x^{4}[/tex]. This expression is correct.
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