Answers
Answer: x - 8
Step-by-step explanation:
Factor it and you'll be fine.
Related Questions
graph x2 - y2 = 16 what are the lines of symetry
Answers
Answer:
it has 4 lines of symetery the x - axis,the y-axis,y=x,and y ''Cx every line through the center is a line of symetry
Step-by-step explanation:
A large company that produces a "fat-burner" pill claims an average loss of 20 pounds in the first month. A consumer advocacy group believes that this claim is actually just "hype" intended to sell more of the compound. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 consumers who responded that they had purchased the pill but didn't know what the survey was about. They find that these 100 people lost an average of 18 pounds with a standard deviation of 7.5 pounds. What are the null and alternative hypothesis in this situation
Answers
The null and alternative hypothesis for the tests are:
H0: μ = 20
Ha: μ < 20
Given data:
In this situation, the null and alternative hypotheses can be formulated as follows:
Null Hypothesis (H0): The average weight loss of consumers who take the "fat-burner" pill is equal to 20 pounds.
Alternative Hypothesis (Ha): The average weight loss of consumers who take the "fat-burner" pill is less than 20 pounds.
In symbolic notation:
H0: μ = 20
Ha: μ < 20
where μ represents the population mean weight loss of consumers who take the "fat-burner" pill.
The null hypothesis assumes that the claim made by the company is accurate and that the average weight loss is indeed 20 pounds. The alternative hypothesis challenges this claim and suggests that the actual average weight loss may be less than 20 pounds, implying that the "hype" around the pill's effectiveness might be exaggerated.
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Factor the expression. K2 - 100h2
Answers
Answer:
(k-10h) (k+10h)
Step-by-step explanation:
k^2 - 100h^2
Rewriting as
k^2 - (10h)^2
We recognize this as the difference of squares
We know the difference of squares is factored as a^2 -b^2 = (a-b)(a+b)
(k-10h) (k+10h)
Answer:
(k-10h) (k+10h)
Step-by-step explanation:
There is 500 mg of potassium in 1 cup (240 ml) of orange juice. Your renal patient must watch his potassium intake not to exceed 2 mg per kg of body weight per day from Orange juice alone. How much juice (in ml) can this patient have per day if the patient weighs 135 lb?
Answers
Answer:
58.79 mL of juice
Step-by-step explanation:
To do this, let's gather the data first:
In 1 cup of orange juice we have 500 mg of potassium. A patient weights 135 lb, and he needs to take care of it's potassium intake and not exceed 2 mg of K / kg per day.
So obviously he cannot drink a whole cup of orange juice. It has to be less. In order to know this, we need to know first the weight in kg. 1 lb equals 0.4536 kg so in 135 lb:
W = 135 lb * 0.4536 kg/lb = 61.24 kg
Now, we need to know with this weight, how much potassium it can takes:
Intake = 61.24 kg * 2 mg/kg = 122.48 mg of K
So, the maximum amount of potassium per day is 122.48 mg. This means that the quantity of orange juice this person can take is:
Juice = 122.48 mg * 240 mL / 500 mg
Juice = 58.79 mL of juice or simply 59 mL
In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is ok. Among 810 airport baggage scales, 102 are defective (based on data from the NY Department of Consumer Affairs). If four of the scales are randomly selected and tested, what is the probability that the entire bath will be accepted
Answers
Answer:
[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]
[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]
And solving we got:
[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Step-by-step explanation:
For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:
[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]
[tex]P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}[/tex]
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:
[tex] P(X=0)[/tex]
And using the probability mass function we got:
[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]
And solving we got:
[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Find the middle term of the expansion of (x+y)^8 a40x^2y^2 b70x^2y^2
Answers
Answer:
the middle term = 70x⁴y⁴
Step-by-step explanation:
Given;
(x+y)⁸
This expression can be expanded as follows, using Paschal triangle;
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
At level 8, the middle coefficient is 70
Also the power of x and y will be equal in the middle term = A(xⁿ yⁿ)
A = 70 ,
n +n = 8
n = 4
Thus, the middle term = 70x⁴y⁴
Giving brainliest for CORRECT awnser.
Answers
Answer:
x < 18 - 10
x < 8
Step-by-step explanation:
Answer:
8 > x
Step-by-step explanation:
-10 > x- 18
Isolate the variable, x. Note the inequality sign, treat it like an equal sign; what you do to one side, you do to the other. Add 18 to both sides:
-10 (+ 18) > x - 18 (+18)
-10 + 18 > x
Simplify. Combine like terms:
(-10 + 18) > x
18 - 10 > x
8 > x
8 > x is your answer.
~
Mark computer weighs 35.769 pounds rounde to the nearest hundreds
Answers
Answer:
35.800
Step-by-step explanation:
The perimeter of a rectangular is 20 centimeters the length is 6 centimeters what is the area of the rectangular
Answers
Answer:
24 centimeters
Step-by-step explanation:
Since the longer side is 6 then multiply it by 2 which is 12, now subtract it by 20 since that is its perimeter. then u divide 8 by 2 since theres 2 sides. now do 6 times 4 which is 24
If you flipped a fair coin 18 times about how many times would you expect heads to appear?
Answers
Answer:
9 times
Step-by-step explanation:
hope this helps
Answer:
9
Step-by-step explanation:
Mathematically, 9, although reality wise, you could flip the coin and get heads every time, or the opposite.
I think you mean mathematically though, so yes, it would be 9.
Please open the image and help me
Answers
3.
[tex]y=\sec^3x+\cot^2(2x)[/tex]
Use the chain rule:
[tex]y'=(\sec^3x)'+(\cot^2(2x))'[/tex]
[tex]y'=3\sec^2x(\sec x)'+2\cot(2x)(\cot(2x))'[/tex]
[tex]y'=3\sec^2x(\sec x\tan x)-2\cot(2x)\csc^2(2x)(2x)'[/tex]
[tex]y'=3\sec^3x\tan x-4\cot(2x)\csc^2(2x)[/tex]
4.
[tex]y=\sin(cos(3x))[/tex]
Same as before:
[tex]y'=(\sin(\cos(3x)))'[/tex]
[tex]y'=\cos(\cos(3x))(\cos(3x))'[/tex]
[tex]y'=-\cos(\cos(3x))\sin(3x)(3x)'[/tex]
[tex]y'=-3\cos(\cos(3x))\sin(3x)[/tex]
Finding the work done in stretching or compressing a spring.
Hooke's Law for Springs.
According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x)=kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive.
In this problem we assume that the force applied doesn't distort the metal in the spring.
A 2 m spring requires 11 J to stretch to 2.4 m. Find the force function, F(x), for the spring described.
Answers
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 95% confidence interval for the proportion of all orders that arrive on time is 70%±88%.
A. What does this mean? For each conclusion, state whether it is correct or not and explain why. Complete parts a through e below.
B. Between 62% and 78% of all orders arrive on time. State whether the conclusion is correct or not and explain why. Choose the correct answer below.
Answers
Answer:B. Between 62% and 78% of all orders arrive on time. State whether the conclusion is correct or not and explain why. Choose the correct answer below.
Step-by-step explanation:
A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 89% ± 6%.
a) The correct answer is A
b) The correct answer is B
c) The correct answer is C
d) The correct answer is D.
e) The correct answer is B.
Here, we have,
a) Between 83% and 95% of all orders arrive on time.
The correct answer is A. This statement is correct.
b) 90% of all random samples of customers will show that 89% of orders arrive on time.
The correct answer is B. This statement is not correct. It implies certainty, but in reality, the statement refers to the confidence interval estimate for the proportion of orders that arrive on time based on the sample.
c) 90% of all random samples of customers will show that 83% to 95% of orders arrive on time.
The correct answer is C. This statement is not correct. No more than 95% of all orders arrive on time. The confidence interval represents the range within which the true proportion is estimated to fall, but it doesn't guarantee that all intervals will cover the true proportion.
d) The company is 90% sure that between 83% and 95% of the orders placed by the customers in this sample arrived on time.
The correct answer is D. This statement is not correct. The confidence interval provides an estimate of the proportion of orders that arrive on time, not a measure of the company's certainty.
e) On 90% of the days, between 83% and 95% of the orders will arrive on time.
The correct answer is B. This statement is not correct. It implies certainty about the proportion of orders arriving on time, but the confidence interval only provides an estimate based on the sample data and does not guarantee the exact proportion for every day.
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complete question:
A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 89% ± 6%. What does this mean? Are the conclusions below correct? Explain.
a) Between 83% and 95% of all orders arrive on time.
b)90% of all random samples of customers will show that 89% of orders arrive on time. c) 90% of all random samples of customers will show that 83% to 95% of orders arrive on time.
d) The company is 90% sure that between 83% and 95% of the orders placed by the customers in this sample arrived on time. e) On 90% of the days, between 83% and 95% of the orders will arrive on time.
a) Choose the correct answer below.
A. This statement is correct.
B. This statement is not correct. It implies certainty.
C. This statement is not correct. No more than 95% of all orders arrive on
D. This statement is not correct. At least 83% of all orders arrive on time.
what is 1/10+ 3/100 in fraction from
Answers
Answer:
0.13
Step-by-step explanation:
1/10 + 3/100 =
10/100 + 3/100 =
13/100
Hope that this helps you and have a great day:)
1.(1 0) You measure the distance, l, a projectile travels several times using the same apparatus and find the following values (cm): 5.11, 4.89, 5.04, 4.94, 4.93, 5.06 and 5.09. Assuming that the errors are random: a) What is the mean value forl? b) What is the standard deviation for this data set? c) What is the uncertainty associated with your best estimate forl? d) How should one report the result of this measurement along with the uncertainty at the 95 % confidence level? e) If you desire to reduce the statistical uncertainty associated with the reported result using the same apparatus to be only 0.01 cm, how many measurements must be made?
Answers
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
In a comparison of the body fat percentage of four different ethnic groups, the body fat percentage was measured for 200 African-Americans, 160 Whites, 220 Hispanics, and 310 Others. Because a comparison of average body fat percentage between these groups is desired, an ANOVA test was conducted, which resulted in p-value of 0.11. What conclusion can you make if level of significance is 0.05?
Answers
Answer:
There is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.
Step-by-step explanation:
The Analysis of Variance (ANOVA) test is used to determine whether there is any significant difference between the mean of various independent groups.
In this case an ANOVA test is being performed to determine whether the fat percentage of four different ethnic groups are different or not.
The hypothesis can be defined as:
H₀: The fat percentage of four different ethnic groups are same, i.e. μ₁ = μ₂ = μ₃ = μ₄.
Hₐ: The fat percentage of at least one of the four ethnic groups is different, i.e. at least one μ[tex]_{i}[/tex] is different.
The significance level of the test is, α = 0.05.
The decision rule is:
If the p-value of the test is less than the significance level, then the null hypothesis will be rejected.And if the p-value of the test is not less than the significance level, then the null hypothesis will not be rejected.The p-value of the ANOVA test is computed as, p-value = 0.11.
p-value = 0.11 > α = 0.05.
The null hypothesis was failed to be rejected.
Hence, it can be concluded that there is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.
Describe a free market economy
Answers
Answer:
soviet russia
Step-by-step explanation:
just kidding
The free market is an economic system based on supply and demand with little or no government control. ... Based on its political and legal rules, a country's free market economy may range between very large or entirely black market
Countries that have a market economy are Mexico, United States, United Kingdom, Germany, and Canada . These countries have a market economy because the prices of goods and services are set by supply and demand
6³=216. Using exponents, write three expressions whose value is 216.
Please help I don't understand.
Answers
9514 1404 393
Answer:
216 = 2³·3³ = 8·3³ = 27·2³
Step-by-step explanation:
6³ = 2·2·2·3·3·3
The string of factors can be grouped however you like, and any repeated factors in the group can be expressed using an exponent.
= 2·2²·3³
= 8·3³
= 6·2²·3²
= 6·6²
= 27·2³
A company makes cones out of solid foam. Each cone has a height of 9 inches, and its base has a diameter of 5 inches. How much foam is needed to make 120 cones?
Answers
Answer: 2250 pi
Step to do:
where is the volume of the cone, is the radius of the base, and is the height of the cone.
In the given problem, we know that and . Using this, we can find the volume of a single cone:
Since the problem asks how much foam is needed to make 120 cones, we can multiply this result to get our answer:
use the figure to help you explain the statement
The base(b) of a triangle is ----------inches
The height (h) of the triangle is--------inches
The area of a triangle is ------- Square inches
The area of the rectangle is ------ Square centimeters
help fassstttt
Answers
Step-by-step explanation:
base is 6 in
height is 4 in
to get the area of a triangle is 1/2base×height
being 1/2(6)(4)=12
to get the area of a rectangle is length×width being 9×8=72
By observing the given figure,
The base(b) of a triangle is 6 inches
The height(h) of a triangle is 4 inches
The area of the triangle is 12 square inches
The area of the rectangle is 72 square centimeter
What is Triangle?A triangle is a polygon with three edges and three vertices
What is Rectangle?A rectangle is a quadrilateral with four right angles
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
From the given figure
The base(b) of a triangle is 6 inches
The height(h) of a triangle is 4 inches
The area of a triangle = [tex]\frac{1}{2}bh[/tex]
=[tex]\frac{1}{2}(6)(4)[/tex]
=12 square inches
Length of the rectangle = 8 centimeter
Width of the rectangle = 9 centimeter
Area of the rectangle = l × w = 9×8=72 square centimeter
Hence,
The base(b) of a triangle is 6 inches
The height(h) of a triangle is 4 inches
The area of the triangle is 12 square inches
The area of the rectangle is 72 square centimeter
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Explain how to translate the statement into an equation. Use n for the variable.
Sixty-three is the product of nine and a number.
Answers
Answer:
9n= 63
n=7
Step-by-step explanation:
hope this helps, good luck. :)))
brainliest ?? :)))
Based on the statement sixty-three is the product of nine and a number, the equation will be 9n = 63.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between.
WE have been given that sixty-three is the product of nine and a number, Use n for the variable.
We need to find the statement into an equation.
The equation in this case will be as follows;
9n = 63
n = 63/9
n = 7
Therefore, the equation is 9n = 63 and the value of n is 7.
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In general, how is the graph of g(x) = | [tex]x - h[/tex] | + [tex]k[/tex] related to the graph of f(x) = | x |? GIVING BRAINLIEST!!
Answers
Answer:
The graph of g(x) = |x - h| + k is a translation of h units horizontally and k units vertically of the graph of f(x) = | x |.
Hope this helps.
Answer:
H units horizontally, k units vertically
Step-by-step explanation:
Tate is paid $17.35 per hour with time and a half overtime. What will his gross pay period in which he worked 35 hours one week and 44 hours next week for a total 79 hours?
Answers
Answer:
The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.
Step-by-step explanation: this is your answer plz rate e the most brainlest
6. A golfer is standing at the tee,
looking up to the green on a hill. If the
tee is 36 yards lower than the green
and the angle of elevation from the tee
to the hole is 12º, find the distance from
the tee to the hole.
Answers
Answer:
173.15 yards is the distance from tee to hole.
Step-by-step explanation:
Please refer to the image attached.
Let A is the position of tee and where the golfer is standing.
C is the position of hole.
CB is the vertical distance between greens and tee.
Angle of elevation, [tex]\angle BAC = 12^\circ[/tex]
To find: side AC.
Using trigonometric functions, we know that value of sine is:
[tex]sin\theta = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]
Here [tex]\theta = \angle BAC = 12^\circ[/tex]
Perpendicular is side CB.
Hypotenuse is side AC.
[tex]sin12^\circ = \dfrac{\text{CB}}{\text{AC}}\\\Rightarrow \text{CB} = \dfrac{36}{sin12^\circ}\\\Rightarrow \text{CB} = 173.15\ yards[/tex]
Hence, 173.15 yards is the distance from tee to hole.
Please help me with my work for math
Answers
Answer:
AAA
Stp-by-step explanation:
What is the GCF of 45 and 72?
Answers
Answer:
The common factors of 45 and 72 are 9, 3, 1
Step-by-step explanation:
Answer:
The GCF of these two numbers is nine.
Step-by-step explanation:
They share three common factors: 1, 3 and 9. The greatest out of all of those is 9. Hope this helps!
Find the lateral surface area below given prism:
Answers
Answer:
the answer should be 158 but I'm not a hundred percent sure
Help me please!!!! If you do this correct, I will mark you the brainliest and this question is worth 50 points so please help me!!!
Answers
Answer:
B and C .. thhx
Step-by-step explanation:
y = x^2 - 7x - 5
y = -2x + 19
Subtract:
y-y = x^2 - 7x - 5 - (-2x + 19)
Simplify:
o = x^2 - 5x - 24
Solve the polynomial by finding two numbers when added together equal -5 and when multiplied by each other equal -24
x = -3 and x = 8
Now replace x in the first equation with -3 and solve for y, then replace x with 8 and solve:
y = x^2 -7x -5: y = -3^2 - 7(-3) - 5 = 9 + 21 - 5 = 25
y = 8^2 - 7(8) -5 = 3
The answers are (8,3) and (-3,25)
which is equivalent to sin^-1 ( sqrt 3/2 )? Give your answer
Give your answer in radians.
Answers
Answer: pi/3
Step-by-step explanation:
correct on edge 2020
The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
sin⁻¹ ( √3/2 ) = θ
Now , the value of θ is calculated by
In a triangle , sin θ = opposite / hypotenuse
So , sin θ = √3/2
The value of θ = 60°
So , the measure of 60° in radians is θ = π/3
Hence , the value of θ from the trigonometric relation is π/3
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A line has the equation 3x–4y–12=0.
Is the point (2, −1) on the graph?
Answers
Answer:
The point (2, -1 ) is not on the graph of the line.
Step-by-step explanation:
3x–4y–12=0
3*2 - 4*(-1) - 12= 0
6 + 4 - 12 =0
10 - 12 = 0
- 2 = 0 , false, so the point (2, -1 ) is not on the graph of the line.
