Guys I really need some help this is due tomorrow Help me asap
I hope y’all know how to margin of error please help me ASAP
Answer:
please explain the question better so sorry
Step-by-step explanation:
I can't understand the question please explain it and I'll help the best I can
Solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b to complete the solutions.
The solution to the given quadratic expression using the completing the square is x = ±√10 +8
Completing the square methodThis is a method of factoring quadratic expression. Given the quadratic function.
x^2 − 16x + 54 = 0
Subtract 54 from both sides
x^2 − 16x = -54
Complete the square
x^2 -16x +8^2 = -54 + 64
(x-8)² = 10
x - 8 = ±√10
x = ±√10 +8
Hence the solution to the given quadratic expression using the completing the square is x = ±√10 +8
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Can somebody please explain how to do this by formula,theorem,or anyway how to do this
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
Fill in the blank with a whole number.
√√3+2√2-√√3-2√2
||
Answer:
^2x2√3+2x√2-^2x2√3-2x√2
Step-by-step explanation:
For each number, name its opposite.
a. -5
b. 0.5
c. -2
d. 28
e. -10.4
f. 0.875
g. -8,003
h. 0
Answer:
a. 5
b. 1
c. 2
d. -28
e. 10.4
f. 11.41
g. 8003
h. 1
b) The completed construction of a regular hexagon is shown below. Explain why ACF is a 30º-60º-90º triangle.
Answer: Please see the analysis
A transport company needs to deliver 500,000 pounds of rocks to a construction site. The company owns a set of dump trucks- each with a container in the shape of a rectangular prism (figure A). If each pound of rock has a volume of 0.01 cubic feet, how many dump trucks will it take to transport the rock? Calculate the total volume of rock that the transport company is responsible for. Calculate the maximum volume of each dump truck. How many trucks are needed to deliver the rock in one trip?
The number of trucks needed to deliver the rock in one trip will be 6.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
V = a x b x c
A transport company needs to deliver 500,000 pounds of rocks to a construction site.
The company owns a set of dump trucks- each with a container in the shape of a rectangular prism (figure A).
If each pound of rock has a volume of 0.01 cubic feet.
Then the total volume of rock that the transport company is responsible for.
Volume of rocks = 0.01 x 500,000
Volume of rocks = 5,000 ft³
Then the maximum volume of each dump truck will be
Volume of truck = 12 x 9 x 8
Volume of truck = 864 ft³
Then the number of the trucks are needed to deliver the rock in one trip will be
Number of trucks = 5000 / 864
Number of trucks = 5.787
Number of trucks ≅ 6
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Question 7 (1 point)
Using the Cylinder in the picture, find the Lateral Area, the Area of a Single Base, and the TOTAL Surface Area: (round to the nearest
hundredth)
7 cm
10 cm-
Lateral Area =
Single Base Area =
Surface Area =
Blank 1:
cm²
_cm²
cm²
Answer:
The lateral area is 439.82 I don't know the single base one and The surface area is 747.7
Step-by-step explanation:
When dividing a number by 10, where is the decimal point moved?
Answer:
decimal point is moved one digit towards the left when divided by 10.
for example:
50.1 ÷ 10 = 5.01
hope that helps you...
Amina thinks of a number and subtracts 5/2 from it. she multiplies the result by 8. the result now obtained is 3 times another number she thought of.what is the number?
Answer:
The way the problem is written: y = 8x/3 - 20/3
If the two numbers are the same: the number is 4.
Step-by-step explanation:
She thought of 2 numbers.
The first number is x.
The second number is y.
8(x - 5/2) = 3y
We have one equation with two variables, so we do not have enough information to find the two numbers.
We can just express one number in terms of the other number.
8x - 20 = 3y
3y = 8x - 20
y = 8x/3 - 20/3
If the problem were:
"Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?",
then there is only one variable, and we can find the number.
8(x - 5/2) = 3x
8x - 20 = 3x
5x = 20
x = 4
The number is 4.
A shop is selling notebooks for £1.50 each.
They have a buy one get one half price offer on.
How many notebooks can be bought for £25?
Answer:
18 . 75
Step-by-step explanation:
1.50's half is 0.75 , Then multiply £1.50 × £25
Answer:
one book=1.50
the other half priced book=0.75
so 0.75+1.50=2.25
25/2.25
=11.111
so eleven books
QUESTION 3 Given: f(x) = 3(x - 1)² - 12 +1 and g(x) = X+2 3.1 Calculate the coordinates of the x-intercept and the y-intercept of g 3.2 Calculate the coordinates of the x-intercept and the y - intercept of f. 3.3 What is the minimum value of f(x)? 3.4 On the same set of axes, sketch the graphs of f and g. Indicate all intercepts with axes and the coordinates of the turning point of f. 3.5 For which values of x will both f(x) and g(x) increase as x increases?
Answer:
Solution: (-1, 1) and (10/3, 16/3) are Intercepts.
Step-by-step explanation:
Set the equations equal to themselves and solve for x and y.
Hope this helps! :)
What is the value of x in the triangle?
Answer: [tex]D. 6\sqrt{x} 2[/tex] is the answer
Step-by-step explanation:
PLS HELP! The figure is a triangle that is divided into two parts. Angle A and angle E are right angles, and the measure of angle F is 30°. What is the measure of angle C?
Complete the steps below to solve the problem using equations.
Find the roots of the equation x2-x=6 algebraically
Answer:
x= 3
x= -2
Step-by-step explanation:
x^2-x=6
x^2-x-6=0
find which 2 numbers when multiplied give -6 and
when added give -1
they are -3 and 2
(x-3)(x+2)
x= 3
x= -2
The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted seeds will germinate. Suppose the manufacturer is correct. If 10 seeds planted with the fertilizer are randomly selected, what is the probability that more than 7 of them germinate
The Probability of that more than 7 of them germinate is 0.2948.
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.We are to determine the probability that more than 7 of 10 seeds (i.e. 8, 0r 9 0r 10) germinate.
The probability that all 10 seeds germinate is equal 0.80¹⁰= 0.1073 = 10.73%.
The probability that only the first (only the second, etc ) seed does not germinate is equal 0.20 X 0.80⁹= 0.0268 = 2.68%.
The probability that 6 seeds germinate is the sum of the probabilities that only the first seed does not germinate, only the second one does not germinate, etc, and equals to 10 X 0.0268 = 0.268 = 26.8%.
The total probability that more than 7 of 10 seeds germinate is the sum of the probabilities that 10 seeds germinate and that 7 seeds germinate, i.e. 2.68 % + 26.8 % = 29.48 %.
Thus, The Probability of that more than 7 of them germinate is 0.2948.
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15. Factor
please help :)
Answer:
(8w + 7)(7w + 9)
Step-by-step explanation:
56w² + 121w + 63
consider the factors of the product of the coefficient of the w² term and the constant term which sum to give the coefficient of the w- term
product = 56 × 63 = 3528 and sum = 121
After much trial and error the factors are + 49 and + 72
use these factors to split the w- term
56w² + 49w + 72w + 63 ( factor first/second and third/fourth terms )
= 7w(8w + 7) + 9(8w + 7) ← factor out (8w + 7) from each term
= (8w + 7)(7w + 9) ← in factored form
can someone do this for me please?! Just the answer pls
Answer:
1 is d
the square root of 36 = 6 which is the only equation with 36
2 is d
Evaluate f(x) = x + 8 when x = -3, 0, and 5.
Answer:
[tex]f(-3) = -3 + 8 \\= 5\\f(0) = 0 + 8 \\= 8\\f(5) = 5 + 8 \\= 13[/tex]
Step-by-step explanation:
All we need to do is plug in the x-values.
if
[tex]f(x) = x + 8[/tex]
then
[tex]f(-3) = -3 + 8 \\= 5\\f(0) = 0 + 8 \\= 8\\f(5) = 5 + 8 \\= 13[/tex]
hope this helped!!
The side of a square is 3 cm long.
What is the length of the diagonal of the square? Give a reason for your answer.
INSTRUCTION: Round your answer to two decimal places.
Answer:
approximately 4.23 cm
For an A.P., a= 25, d = -3. Find the value of n if S=112
Answer:
n = 7.
Step-by-step explanation:
Sum S of an AP = (n/2)[2a + d(n - 1)]
112 = (n/2)[2*25 - 3(n -1)]
n/2 (53 - 3n) = 112
n(53 - 3n) = 224
-3n^2 + 53n - 224 = 0
3n^2 - 53n + 224 = 0
(3n - 32 )(n - 7 ) = 0
n = 7, 32/3
So n must be 7 as its a whole number.
What is the solution to 2x²+8x=x²-16?
Ox=-4
Ox=-2
Ox=2
Ox=4
Answer:X is equal to -4 twice
Step-by-step explanation:
The solution to the equation 2x² + 8x = x² - 16 is x = -4.
Option A is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To solve the equation 2x² + 8x = x² - 16, we first simplify it by moving all the terms to one side:
2x² + 8x - x² + 16 = 0
Simplifying further, we get:
x² + 8x + 16 = 0
This is a quadratic equation of the form ax² + bx + c = 0, where a = 1, b = 8, and c = 16.
We can solve this equation by factoring it:
(x + 4)(x + 4) = 0
This gives us two solutions:
x + 4 = 0 or x + 4 = 0
x = -4 or x = -4
Therefore,
The solution to the equation 2x² + 8x = x² - 16 is x = -4.
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I don't understand this equation, I need a little help...
x + 14 = 14, x
A risky stock sells for $10 per share. With probability 0.3, the stock will be worth 3 times as much in two years. With probability 0.7, the stock will be worth 1/10 as much in two years. Suppose you buy 10 shares of the stock and then sell the stock in two years. Let N be the random variable denoting your net gain in dollars. What is the expected value of N
The expected value of the net gain from selling the stock in 2 years is $-3.
What is the net gain?The net gain is the total profit from selling the stock less the total cost of buying the stock
Total cost of buying the stock = 10 x $10 = $-100
Expected selling price = (0.3 x $100 x 3) + (0.7 x$100 x 1/10) += $97
Net gain = $97 - $100= $-3
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The volume of this rectangular prism is 108 cubic feet. a prism has a length of l, height of 4.5 feet, and width of 3 feet. what is the length of the prism? feet
Answer:
8 feet
Step-by-step explanation:
The length can be found using the volume formula with the known values. The resulting equation can be solved for the unknown value.
__
V = LWH . . . . . volume of a prism is the product of its dimensions
108 ft³ = l×(3 ft)×(4.5 ft) . . . . . known values filled in
l = 108 ft³/(13.5 ft²) = 8 ft . . . . . . divide by the coefficient of length
The length of the prism is 8 feet.
Answer:
8ft
Step-by-step explanation:
On average how far from the mean age is each player?
The mean of the age data of the players is 20 and on average the age of each player is 1 far from mean.
What is dot plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
The data of the age of the player is,
18,19,20,21,21,21
The number of player are 6. Thus, the mean of the data is,
Mean=(18+19+20+21+21+21)/6
Mean=20
The distance form mean 20 of each player age is, 2,1,0,1,1,1. The mean deviation is,
Mean Deviation= (2+1+0+1+1+1)/6
Mean Deviation=1
Thus, the mean of the age data of the players is 20 and on average the age of each player is 1 far from mean.
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The area A of the rectangle shown is 500 square meters. Find the value of x. Then give the dimensions of the rectangle.
Answer:
Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 mStep-by-step explanation:
Area Formula
*Area* = *Length* × *Width*Given
Area = 500 square metersLength = (4x - 3) metersWidth = (2x + 6) metersSolving
(4x - 3)(2x + 6) = 5008x² - 6x + 24x - 18 = 5008x² + 18x - 18 - 500 = 04x² + 9x - 259 = 0(4x + 37)(x - 7) = 0x = 7 [as distance is always positive]Dimensions
Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 mNow
Area =LB(4x-3)(2x+6)=5008x²+18x-518=0(x-7)(4x+37)=0x=7 or -37/4Take it positive
L=4(7)-3=28-3=25B=2(7)+6=20I have no idea what to do for these 2 questions, somebody please help
Answer:
Step-by-step explanation:
2.2:
[tex]3^2(6)(3.14) = 169.56 in^3[/tex]
3.3
[tex]9^2(5)(3.14) = 1287.4 un^3[/tex]
x + y = 20 and 2x + y =25 how can i solve this equation
Answer: I will give you a answer for both of them.
Step-by-step explanation:
First equation: x+y=20
1. Subtract y from both sides.
x=20−y
Second equation: 2x+y=25
1. Subtract y from both sides.
2x=25−y
2. Divide both sides by 2.
[tex]X[/tex][tex]=[/tex][tex]\frac{25-y}{2}[/tex]
Anyone please help meಥ‿ಥ
Answer:
Mean: The sum of all data values divided by the total number of data values.
Median: The middle value when all data values are placed in order of size. If there is an even number of data values, the median is the mean of the middle two values.
Mode: The most frequently occurring data value.
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Question 3
[tex]\textsf{Mean}=\dfrac{69 + 70 + 71 + 73 + 74 + 75 + 76 + 76 + 76 + 86}{10}=74.6[/tex]
Ordered data values: 69, 70, 71, 73, 74, 75, 76, 76, 76, 86
Median = (74 + 75) / 2 = 74.5
Mode = 76
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Question 4
[tex]\textsf{Mean}=\dfrac{3 + 5 + 5 + 5 + 6 + 6 + 7 + 8 + 8}{9}=5.9\: \sf (nearest \:tenth)[/tex]
Ordered data values: 3, 5, 5, 5, 6, 6, 7, 8, 8
Median = 6
Mode = 5
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Question 5
[tex]\begin{aligned}\textsf{Mean} & =\dfrac{11 + 12 + 12 + 13 + 13 + 14 + 14 + 15 + 16 + 16 + 17 + 18 + 19 + 20 + 23}{15}\\ & =15.5 \: \sf (nearest\:tenth)\end{aligned}[/tex]
Ordered data values: 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 17, 18, 19, 20, 23
Median = 15
Mode = 12, 13, 14, 16
Answer:
see explanation
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
the median is the middle value of a set of data. If there is no exact middle value then it is the average of the values on either side of the middle.
the mode is the value that occurs most often in the data set
A data set can have more than 1 mode
------------------------------------------------------------------------
(3)
(a)
mean = [tex]\frac{74+73+75+76+71+69+70+76+76+86}{10}[/tex] = [tex]\frac{746}{10}[/tex] = 74.6
(b)
Arrange the data in ascending order
69 70 71 73 74 75 76 76 76 86
↑ middle
median = (74 + 75) ÷ 2 = 149 ÷ 2 = 74.5
(c)
mode = 76
(4)
(a)
mean = [tex]\frac{6+8+8+5+6+7+5+3+5}{9}[/tex] = [tex]\frac{53}{9}[/tex] ≈ 5.9 ( to 1 dec. place )
(b)
3 5 5 5 6 6 7 8 8
↑ middle
median = 6
(c)
mode = 5
(5)
(a)
mean = [tex]\frac{12+13+18+23+14+17+14+16+13+16+15+19+11+20+12}{15}[/tex] = [tex]\frac{233}{15}[/tex] ≈ 15.5 ( to 1 dp )
(b)
11 12 12 13 13 14 14 15 16 16 17 18 19 20 23
↑ middle
median = 15
(c)
the mode is multimodal
modes are 12, 13, 14, 16