Answer:
x = 0, 4
Step-by-step explanation:
2x² = 8x ( subtract 8x from both sides )
2x² - 8x = 0 ← factor out 2x from each term
2x(x - 4) = 0
Equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
What is the value of the missing angle in this quadrilateral?
56
67
304
360
Answer:
Hello There!!
Step-by-step explanation:
The answer is 56.
hope this helps,have a great day!!
~Pinky~
is $60 a resonable tax for a purchase of $120 what likey caused herschel to make the mistake
E probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of _____________.
The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."
What is null hypothesis?A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.
Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."
Some key features regarding null hypothesis are-
A null hypothesis is a statistical conjecture that claims there is no variation between particular qualities of a population and data-generating process.The alternate hypothesis asserts the existence of a distinction.Hypothesis testing allows you to reject the null hypothesis with a particular level of confidence.If the null hypothesis can be rejected, it lends support to the alternative hypothesis.The notion of falsity in science is founded on null hypothesis testing.To know more about null hypothesis, here
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At a city water purification plant, water is mixed with a release agent in a ratio of 8:1. You are using 32 ounces of water. How many ounces of the release agent should you mix with the water? _____ ounces of release agent
To mix with 32 ounces of water in a ratio of 8:1, you should use either 3 ounces (rounded down) or 4 ounces (rounded up) of the release agent.
To determine the number of ounces of the release agent needed, we need to calculate 1/9th of the total mixture, since the ratio of water to release agent is 8:1.
First, we find the amount of 1/9th of the mixture by dividing the total amount of water (32 ounces) by the sum of the ratio (8+1=9):
32 ounces / 9 = 3.56 ounces (rounded to two decimal places)
Therefore, you should mix approximately 3.56 ounces of the release agent with 32 ounces of water.
However, since we cannot have a fraction of an ounce in practical terms, we need to round the value to a whole number. In this case, we have two options:
Rounding down: If we round down to the nearest whole number, we would use 3 ounces of the release agent.
Rounding up: If we round up to the nearest whole number, we would use 4 ounces of the release agent.
The choice between rounding down or rounding up depends on the specific requirements or instructions given for the mixture. If precision is not crucial, rounding down to 3 ounces is a reasonable choice. However, if accuracy is important, rounding up to 4 ounces would be more appropriate.
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which term is related to electromagnetism applies only to the magnetic force
a. non-contact
b. poles
c. protons
d. attraction
HELP quick i am on a timed test!
A. non-contact
B. poles
C. protons
D. attraction
ANSWER:B.Poles is related to electromagnetism applies only to the magnetic forceHopeItHelps you
What is the coefficient in the expression x² - 6?
Your answer would be 1/x^2 -6
Determine the mean and standard deviation of the variable X in each of the following binomial distributions. a. n=5 and π=0.10 b. n=3 and π=0.40 c. n=5 and r=0.50 d. n=3 and π=0.80 a. When n=5 and π=0.10, determine the mean. μ= (Type an integer or a decimal. Do not round.)
The mean (μ) for the given binomial distribution is 0.50.
To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:
a. When n = 5 and π = 0.10:
μ = 5 * 0.10
= 0.50
For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.
b. When n = 3 and π = 0.40:
μ = 3 * 0.40
= 1.20
In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.
c. When n = 5 and π = 0.50:
μ = 5 * 0.50
= 2.50
For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.
d. When n = 3 and π = 0.80:
μ = 3 * 0.80
= 2.40
In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.
The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.
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Can I have help with this question
Answer:
a) 450,000,000,000 (450 Billion)
b) 3500
Step-by-step explanation:
a) (5 x 9) · 10^(3+7)
45 x 10^10
b) (7 ÷ 2) · 10^5-2
3.5 x 10^3
Answer:
a) 45,000,000,000,000
b) 3,500
Step-by-step explanation:
Where there is an exponent and the base is 10, the exponent is how many zeros to add to the end of the number.
a) (5x10,000)x(9x100,000,000)
50,000x900,000,000
45,000,000,000,000
b)(7x1,000,000)/(2x1,000)
7,000,000/2,000
3,500
For the constant function v(x)=1, which statement describes the additive and multiplicative inverses?
The additive and multiplicative inverse of v{x} are -1 and 1 respectively.
What is a function?An function in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). Example -
y = f{x} = ax + b
Given is a constant function -
v{x} = 1
We can write the additive inverse of v{x} as -
a⁻¹ (v{x}) = - v{x} = - 1
a⁻¹ (v{x}) = - 1 ..... { 1 }
and
We can write the multiplicative inverse of v{x} as -
m⁻¹ (v{x}) = 1/v{x} = 1/1 = 1
m⁻¹ (v{x}) = 1 ...... { 2 }
Therefore, the additive and multiplicative inverse of v{x} are -1 and 1 respectively.
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what is the circomfrence of the circle r = 4 ft
Answer:
C≈25.13ft
Step-by-step explanation:
C=2πr=2·π·4≈25.13274ft
Does anybody know how to make a pie chart out of this
Answer:
Step-by-step explanation:
since it is 100% and the pie chart circle is 360°, then for each % it will be 3.6°
applying this into drawing, just times 3.6° to the percentage and then get the final angle for the data.
--------------------------------------------
if you don't need to be so concise, just see as you fit
A survey found that 12 out of every 15 people in the United States
prefer eating at a restaurant over cooking at home. If 400 people
selected eating at a restaurant on the survey, how many people
took the survey?
If 12 out of every 15 people prefer eating at a restaurant, then 12/15 of the people who took the survey chose that option. We know that 12/15 of the total number of people who took the survey is equal to 400 people, so we can set up the equation:
(12/15)x = 400
To find the total number of people who took the survey, we can solve for x by multiplying both sides of the equation by 15/12:
x = (400)(15/12)
x = 500
So, 500 people took the survey.
If there are 6 family members in your family and they are all going to skate
4 hours each, it would cost $
Answer: 24c
Step-by-step explanation:
c = cost
6x4=24
24 times the amount it costs per hour c
24c
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The length and width of a rectangle that maximises the enclosed area are 800 yards. The maximum area is 640,000 square yards.
In the given question we have to find the maximum area of the rectangular area.
Liana has 3200 yards of fencing to enclose a rectangle.
As we know that the perimeter of rectangle
P= 2(l+b)
Let length of the rectangle is x yards and width is y yards.
So the equation should be
2(x+y) = 3200
Divide by 2 on both side we get
x+y = 1600................(1)
From the area of rectangle is
A = xy
From the equation the value of y is 1600-x.
Now putting the value of y
A = x(1600-x)
A = 1600x-x^2
On differentiating
dA/dx = 1600-2x
Putting dA/dx=0
1600-2x=0
Subtract 1600 on both side we get
-2x= -1600
Divide by -2 on both side we get
x = 800 yards
Now putting the value of x in the y=1600-x
y=1600-800
y=800 yards
So the maximum area is
A= 800*800
A= 640,000 square yards
Hence, the length and width of a rectangle that maximises the enclosed area are 800 yards. 640,000 square yards is the maximum area.
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92, 40, 65, 81, 51, 68, 34, 74, 97, 58 what's the Mean, Median, mode and the range
A certain star is 5.2 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How
far from the earth (in miles) is the star?
the correct answer is 5.89999999948*10^12
What rule is shown by this input/output table and coordinate plane?
A. add 3
B. subtract 3
C. divide by 2
D. multiply by 2
Answer:
B
Step-by-step explanation:
subtract 3
input and output always input should be your first one.
So, 6-3=3 7-3=4 8-3=5
9-3=6 10-3=7
Hope this helps u:)
Pls mark brainlist
the economic policy institute periodically issues reports on worker's wags. the institute reported that mean wags for male college graduates were $37.39 per hour and for female college graduates were $27.83 per hour in 2020. assume the standard deviation for male graduates is $4.60, and for female graduates it is $4.10. (12 points) what is the probability that a sample of 50 male graduates will provide a sample mean within $1.00 of the population mean, $37.97? what is the probability that a sample of 50 female graduates will provide a sample mean within $1.00 of the population mean $27.83? in which of the preceding two cases, part (a) or part (b), do we have a higher probability of obtaining a sample estimate within $1.00 of the population mean? why? what is the probability that a sample of 120 female graduates will provide a sample mean more than $0.60 below the population mean, 27.83?
The probability that a sample of 120 female graduates will = 0.8905
what is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
= |y -µ| ≥ 0.60
z = y -µ /σ√n
= 0.60/4.10√120
= 0.60/0.3742770
=1.60
Pr ( y -µy) ≤ 0.60 = P |z|≤1.60
=P ( -1.60≤ Z≤ -1.60)
=P (Z ≤ 1.60) -P ( Z≤ -1.60)
= 0.9452 - 0.0547 using z table
= 0.8905
Female graduates
mean = 27.83
sd = 4.10
sample = 120
µx = 27.83
σx = σ/√n
= 4.10/√120
a) P (X bar > 27.83)
= P (X bar -µx)/ σx > 27.83-27.83/4.10/√120
= P ( z > -1.60)
= 0.9452
For men
Mean=µ=37.39
Sd=σ=4.60 ,n=50
Probability that sample mean within $1.00 of the population mean
u-1=37.39-1=36.39
u+1=37.39+1=38.39
P = (36.39 <X bar < 38.39)
= P \(\frac{36.39-37.39 }{4.60/\sqrt{60} } < \frac{X bar - µ}{σ/\sqrt{n} } < \frac{39.39-37.39}{4.60/\sqrt{60} }\)
= P ( -1.6839 < Z <1.6839
= P ( -1.68 < Z <1.68)
= P (Z < 1.68) - P(Z < -1.68)
= 0.9535- 0.0465
= 0.9070
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farmer has 100 m of fencing to enclose a rectangular pen.
Which quadratic equation gives the area (A) of the pen, given its width (w)?
Considering the area and the perimeter of a rectangle, the quadratic equation that gives the area (A) of the pen, given its width (w), is:
A = -w² + 50w.
What are the area and the perimeter of a rectangle?Considering a rectangle of length l and width w, we have that the area and the perimeter have equations presented as follows:
The area is given by A = lw.The perimeter is given by P = 2(l + w).In the context of this problem, the farmer has 100 m of fencing to enclose a rectangular pen, meaning that the perimeter is of 100 m, hence:
2(l + w) = 100
l + w = 50
l = 50 - w.
Hence the area of the pen is given by the following quadratic equation:
A = lw
A = (50 - w)w
A = -w² + 50w.
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PLEASE help U CAN LITEARALLY HELP ME GET INTO MY DREAM SCHOOL>
What is the total cost of a $12 t-shirt if the sales tax is 6.5%?
Answer:
The answer is $12.78
Step-by-step explanation:
Answer:
So if you want to find 6% sales tax for an item costing $12, simply move the decimal point to the left two places and multiply. You will write 6% as . o6. Now multiply that by 12 to find the sales tax.
Step-by-step explanation:
Calculating Total Cost. Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost.
Calculating sales tax on a product or service is straightforward: Simply multiply the cost of the product or service by the tax rate. For example, if you operate your business in a state with a 6% sales tax and you sell chairs for $100 each, you would multiply $100 by 6%, which equals $6, the total amount of sales tax.
-6x+8y-10x-8y
Show and explain work
Answer:
Simplify the expression.
−16x
Step-by-step explanation:
Wilson viaja 53.7 millas en 1.6 horas. ¿Cuál es su velocidad promedio a la décima de milla por hora
más cercana?
Uniform line movement.
The uniform rectilinear movement is the movement that maintains a variation of the distance with respect to time always constant, since the acceleration is zero.
If we know that Wilson travels 53.7 miles in 1.6 hours, we determine the average speed from the following equation:
Speed = distance / time
Speed = 53.7 miles / 1.6 hours
Speed = 33.5625 miles/hour
V = 33.6 miles/hour
The average speed that Wilson travels is: V = 33.6 miles/hour.
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I need help plz can you please help
Answer:
The answer should be -156-61i
what are the coefficients in the expression (2x+15)(9x-3) need it asap
Answer:
2x and 9x are the coefficients.
Step-by-step explanation:
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b and c ).
Solve this trigonometric equation
Answer:
18.7 units
Step-by-step explanation:
In this right-angled triangle, you are provided with:
Two angles (i.e. 36° and 90°)
One side (i.e. Line AC, which is 11 units)
Line AB is known as the 'hypotenuse' of the right-angled triangle, which is what needs to be determined.
On the basis of 36° angle:
The side opposite (i.e. Line AC) is known as the 'opposite' or 'perpendicular side'
The side adjacent (i.e. Line BC) is known as the 'adjacent' or 'base'
Trigonometric function:
The trigonometric function, which connects an angle, it's opposite side and the hypotenuse is the 'sine function':
sinФ = \(\frac{opposite}{hypotenuse}\)
sin36° = \(\frac{11}{x}\)
Cross-multiplication is applied:
x needs to be isolated and made the subject of the equation:
xsin36° = 11
≡ x = \(\frac{11}{sin36^{o}}\)
∴ x = 18.7 units (Rounded off to 3 significant figures)
Which expression is equivalent to log subscript 5 baseline (startfraction x over 4 endfraction) squared? 2 log subscript 5 baseline x + log subscript 5 baseline 4 2 log subscript 5 baseline x + log subscript 5 baseline 16 2 log subscript 5 baseline x + 2 log subscript 5 baseline 4 2 log subscript 5 baseline x + log subscript 5 baseline 4.
The required expression for
\(log_5(\frac{x}{4} )^2\) = 2 \(log_5\) x - 2 \(log_5\) 4.
Given,
In the question:
The expression is given as:
Log subscript 5 baseline (startfraction x over 4 endfraction) squared
To find the which expression is equivalent?
Now, According to the question:
The expression is given as:
\(log_5(\frac{x}{4} )^2\).
We know that from the properties of logarithm, the following identities
\(log m^n = n log m...(1)\\\\log\frac{m}{n} = log m - log n .....(2)\)
Now, \(log_5(\frac{x}{4} )^2\) = 2 log \(\frac{x}{4}\) (using 1 identity)
Again, Using (2) identity we get,
\(log_5(\frac{x}{4} )^2\) = 2 \(log_5\) x - 2 \(log_5\) 4.
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Picture will be attached please help its analytic trigonometry identities.
Answer:
14. 46.2 ft (nearest tenth)
15. 95.5° (nearest tenth)
Step-by-step explanation:
Question 14
The diagonal of the square (from home plate to second base) is:
\(\sqrt{65^2+65^2} =91.92388155...\)
Half of this is 45.9619... ft.
Therefore, ∠ABC is not 90° and so triangle ABC is NOT a right triangle.
To determine length AB we must use the cosine rule:
\(c^2=a^2+b^2-2ab \cos C\)
(where a and b are the sides, C is the include angle, and c is the side opposite the angle)
Given:
a = BC = 41.5 ftb = AC = 65 ftc = ABC = 45°Substituting given values into the formula:
\(\implies c^2=41.5^2+65^2-2(41.5)(65) \cos (45)\)
\(\implies c^2=1722.25+4225-5395 \cdot \dfrac{\sqrt{2} }{2}\)
\(\implies c^2=2132.408915...\)
\(\implies c=\pm\sqrt{2132.408915...}\)
\(\implies c=\pm46.17801333...\)
As distance is positive, c = 46.2 ft (nearest tenth)
Question 15
We need to find angle B.
Use the sine rule:
\(\dfrac{\sin(A)}{a}=\dfrac{\sin(B)}{b}=\dfrac{\sin(C)}{c}\)
(where A, B and C are the angles, and a, b and c are the sides opposite the angles)
IMPORTANT: As angle B is obtuse (more than 90° and less than 180°), the sine of an obtuse angle = sine of its supplement
Therefore, sin B = sin (180 - B)
Given:
C = 45°c = 46.17801333...b = AC = 65sin B = sin (180 - B)\(\implies \dfrac{\sin(180-B)}{65}=\dfrac{\sin(45)}{46.17801333...}\)
\(\implies \sin(180-B)=\dfrac{65 \sin(45)}{46.17801333...}\)
\(\implies 180-B=84.45515638...\)
\(\implies B=180-84.45515638...\)
\(\implies B=95.54484362...\)
Therefore, B = 95.5° (nearest tenth)
** Note: if you use the rounded solution for c, where c = 46.2, in this calculation, then angle B will be 95.8° to the nearest tenth**
Please solve this question for me
x = 65° and y = 77.5°.
Step-by-step explanation:The triangle with the 50 degree angle and x, is an isosceles triangle. That means that the other unlabeled angle is also equal to x degrees.
x + x + 50 = 180
2x + 50 = 180
2x = 130
x = 65°.
Since x = 65 degrees, and the two angles make a 90 degree angle, the other unlabeled angle will be 90 - 65 = 25 degrees.
Since the other triangle is also isosceles, that triangle has two angles that measure y degrees and one angle measuring 25 degrees.
y + y + 25 = 180
2y + 25 = 180
2y = 155
y = 77.5°.
Hope this helps!
A high school auditorium contains 208 students. The
ratio of boys to girls is 7:6. How many boys are in the
auditorium?
Answer:
boys=112
Step-by-step explanation:
g+b=208
6b=7g
6b=7(208-b)
6b=1456-7b
6b+7b=1456
113b=1456
divide both of them by 13 it gives 112 boys
What is the quotient for 3 1/4 ÷ 2 3/8?
Answer:
26/16 or 1 7/19