Answer:
the answer is -1 (d)
Step-by-step explanation:
just took a test on edge
The solution is:
f(x) = 1/2x, is a linear function f with the given values.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
According to the table, we observe the point (0, 0).
This is an indication the function is a proportional relationship:
f(x) = kx
Use another ordered pair (-4, -2) to determine the value of k:
-2 = -4k
k = -2/-4
k = 1/2
The line is:
f(x) = 1/2x
Hence, The solution is:
f(x) = 1/2x, is a linear function f with the given values.
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complete question:
Write a linear function f with the given values.
Х
f(x)
-4
-2
- 2
-1
0
0
f(x) = 0
The height of water in a bathtub ,h, is a function of time ,t, let p represent this function height is measured in inches and time in minutes
The complete question is;
The height of water in a bathtub,h, is a function of time,t. Let P represent this function. Height is measured in inches and time in minutes.
Match each statement in function notation with a description.
A: P(0) = 0
B: P(4) = 10
C: P(10) = 4
D: P(20) = 0
1:After 20 minutes, the bathtub is empty.
2:The bathtub starts out with no water.
3:After 10 minutes, the height of the water is 4 inches.
4:The height of the water is 10 inches after 4 minutes.
Answer:
-option D is the correct answer for sentence 1.
-option A is the correct answer for sentence 2.
-option C is the correct answer for sentence 3.
-option B is the correct answer for sentence 4
Step-by-step explanation:
The height of water in a bathtub h is a function of time t.
-If t = 20 minutes, then height of water represented by P is empty so, P(20) = 0. Thus, option D is the correct option for sentence 1.
-The bath tub starts out with no water. Thus, P(0) = 0. So option A is the correct option for sentence 2.
-After 10 minutes, the height of the water is 4 inches. Thus, P(10) = 4. So, option C is the correct option for sentence 3.
- The height of the water is 10 inches after 4 minutes. Thus, P(4) = 10. So option B is the correct answer for sentence 4
Which functions could represent a reflection over the y-axis of the given function? Check all that apply.
g(x) = –One-half(4)x
g(x) = 0.5(4)–x
g(x) = 2(4)x
g(x) = One-half (one-fourth)x
g(x) = One-half (one-fourth)–
Answer:
On Ed the answer for this: g(x) =0.5(4)-x
g(x) =1/2(1/4)^x
Step-by-step explanation:
Triangle 1 is similar to triangle 2.
what is the question? is there an image
Triangle GHK has an area of 117 cm2. Write an equation to find the height, h, of triangle GHK, (The base is 26 cm)
Answer:
9cm
Step-by-step explanation:
Area of a Triangle [tex]=\dfrac12$ X Base X Height[/tex]
[tex]Given:\\$Area of \triangle GHK =117cm^2\\$Base = 26cm\\Therefore:\\117=\dfrac12$ X 26 X h\\117=13h\\Divide both sides by 13 to obtain h\\h=117 \div 13\\$Height of Triangle GHK, h=9cm[/tex]
Answer:
9
Step-by-step explanation:
An electrician charges $40 per visit, and $20 per hour of work. On a particular day, he made 3 visits and calculated that his average earnings were $50 per hour. Use this information to complete the statement. He worked hours that day.
Answer:
4 hours
Step-by-step explanation:
For three visits, the electrician earned $40 × 3 = $120 in "per-visit" charges. For working x hours, he earned 20x in "per-hour" charges. The total of these came to 50x:
120 +20x = 50x
120 = 30x . . . . . . . . subtract 20x
4 = x . . . . . . . . . . . . . divide by 30
The electrician worked 4 hours that day.
Need help please with this question
Answer:
5/8
5/8
Step-by-step explanation:
According to a recent census, 16% of the people in the United States are of Hispanic origin. One county supervisor believes her county has a different proportion of Hispanic people than the nation as a whole. She looks at their most recent survey data, which has a random sample of 437 county residents, and found that 44 of those surveyed are of Hispanic origin.Randomization condition:Choose the correct statement.Select one:a. The 437 county residents were a voluntary response sample of all county residents.b. The 437 county residents is a systematic response sample of all county residents.c. The 437 county residents were a random sample of all county residents.
Answer:
Option C is correct.
The 437 county residents were a random sample of all county residents.
a) If p is the proportion of Hispanics in the county,
The null hypothesis is represented as
H₀: p = 0.16
The alternative hypothesis is represented as
Hₐ: p ≠ 0.35
b) The model of the test is two-tailled, one-proportion test. And it satisfies all of the required conditions for an hypothesis test.
c) The sketch of the region of acceptance is presented in the attached image to this answer. (z < -4.09 and z > 4.09).
Test statistic = -4.09
p-value = 0.000043
d) We can conclude that the proportion of the county that are Hispanics is different from the proportion of the country that are Hispanics.
Step-by-step explanation:
According to the question, it was clearly stated that the 437 county residents are a random sample of the residents in the county, hence, it is evident that option C is the right statement.
a) For hypothesis testing, the first thing to define is the null and alternative hypothesis.
The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.
While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.
For this question, the county supervisor wants to check if proportion of the county that are Hispanics is different from the proportion of the whole nation that are Hispanics. (0.16).
Hence, the null hypothesis is that there isn't enough evidence to conclude that the proportion of the county that are Hispanics is different from the proportion of the whole nation that are Hispanics. That is, there is no significant difference between the proportion of the county that are Hispanics and the proportion of the whole nation that are Hispanics. (0.16).
The alternative hypothesis will now be that enough evidence to conclude that the proportion of the county that are Hispanics is different from the proportion of the whole nation that are Hispanics (0.16).
Mathematically,
The null hypothesis is represented as
H₀: p = 0.16
The alternative hypothesis is represented as
Hₐ: p ≠ 0.16
b) To do this test, we will use the z-distribution because although, no information on the population standard deviation is known, the sample size is large enough.
Hence, the model of this test is two-tailled, one-proportion test.
And the major conditions for an hypothesis test is that
- The sample must be a random sample extracted from the population, with each variable in the sample independent from one another. This is already clearly given in the question.
- The sample must be a normal distribution sample or approximate a normal distribution.
The conditions to check this is that
np ≥ 10
and
np(1-p) ≥ 10
p = sample proportion = (44/437) = 0.101
np = 437×0.101 = 44 ≥ 10
np(1-p) = 437×0.101×(1-0.101) = 39.7 ≥ 10
The two conditions are satisfied, hence, we can conclude that this distribution at least approximates a normal distribution.
c) So, we compute the t-test statistic
z = (x - μ)/σₓ
x = sample proportion = 0.101
μ = p₀ = The proportion we are comparing against = 0.16
σₓ = standard error = √[p(1-p)/n]
where n = Sample size = 437
σₓ = √[0.101×0.899/437] = 0.0144145066 = 0.0144
z = (0.101 - 0.16) ÷ 0.0144
z = -4.093 = -4.09
checking the tables for the p-value of this z-statistic
Degree of freedom = df = n - 1 = 437 - 1 = 436
Significance level = 0.05 (when the significance level isn't stated, 0.05 is used)
The hypothesis test uses a two-tailed condition because we're testing in both directions (greater than or less than).
p-value (for z = -4.09, at 0.05 significance level, df = 436, with a two tailed condition) = 0.000043
The sketch of the region of acceptance is presented in the attached image to this answer. (z < -4.09 and z > 4.09).
d) The interpretation of p-values is that
When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.
So, for this question, significance level = 0.05
p-value = 0.000043
0.000043 < 0.05
Hence,
p-value < significance level
This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the proportion of the county that are Hispanics is different from the proportion of the whole nation that are Hispanics.
Hope this Helps!!!
Need help ASAP !!
Type your response in the box
Simplify these algebraic expressions
Answer:
1. 8x+10
2. -5x-5
3. 2x-20
Step-by-step explanation:
1. Combine like terms, 12x-4x = 8x, 3+7 = 10
2. Combine like terms. -7x+2x=-5x, 8-13 = -5
3. combine like terms, -3x+5x = 2x, -18-2 = -20
How do you solve -3/5(x)=6
Answer:
-10
Step-by-step explanation:
[tex]-\dfrac{3}{5}x=6 \\\\\\x=\dfrac{6}{-\dfrac{3}{5}} \\\\\\x=6\times -\dfrac{5}{3} \\\\\\x=-10[/tex]
Hope this helps!
Answer:
x = -10
Step-by-step explanation:
So first and easily we have to multiply to --> -3/5x = 6
After that you just do the regular formula -->
Factor divided by the x
6 / (-3/5) = -10
-10
Hope this helps
Work out 12+8÷(9-5) 0.018÷0.06 Express as single fraction 5/7÷2/5
Step-by-step explanation:
I don't know if the first set of numbers is all in one set, but I'll do my best to give you an answer.
Really all you need to do is use PEMDAS for the first question.
(Parentheses, exponents, multiply, divide, add, subtract. In that order)
[tex]1 2 + 8 \div (9 - 5) \\ 12 + 8 \div 4 \\ 12 + 2 \\ 14[/tex]
Then to simplify that fraction next to it, notice that 0.018 is 3x 0.06.
that's a 3:1 ratio, so it ends up simplifying to this:
[tex] \frac{3}{1} [/tex]
Lastly, to solve the division of that fraction. If you divide by a fraction, you multiply whatever it's dividing by its inverse.
So...
[tex] \frac{5}{7} \div \frac{2}{5} \\ \frac{5}{7} \times \frac{5}{2} \\ \frac{25}{14} [/tex]
if f(x)=x^2 is vertically compressed by a factor of 8 yo g(x) , what is the equation of g(x)
Answer:
[tex]g(x)=\frac{1}{8} x^{2}[/tex]
Step-by-step explanation:
Expansions and compressions are transformations that change the length or width of the graph of a function. The general form of the graph of a function expands or compresses vertically or horizontally. Expansions and compressions are considered non-rigid transformations.
Vertical compression:
[tex]y=kf(x)[/tex]
If k>0 the graph of f (x) is vertically stretched by a factor of k.If k<0 the vertical stretch is followed by a reflection across the x-axis.If 0<k<1 the graph is f (x) vertically compressed by a factor of 1/k.
So, if [tex]f(x)=x^{2}[/tex] is vertically compressed by a factor of 8. Hence, using the previous information, we can conclude that the equation of [tex]g(x)[/tex] is:
[tex]g(x)=\frac{1}{8} x^{2}[/tex]
I attached you the graphs.
what is the solution set of the inequality 5x-9<21
Answer:
x < 6
Step-by-step explanation:
5x < 21 +9
5x < 30
x < 30/5
x < 6
so the value of x is 5,4,3,2,1, 0, -1, ....
Answer: x<6
Step-by-step explanation:
For this problem, we approach it as if it had an equal sign instead of an inequality.
5x-9<21 [add 9 on both sides]
5x<30 [divide 5 on both sides]
x<6
The grid shown below is in the shape of a rectangle. What is the area, in square units, of the shaded part of the rectangle? a 14 b 24 c 28 d 48
The correct answer is B. 24
Explanation:
If you consider the shaded part of the rectangle is a triangle the best way to calculate the area of this is by calculating the total area or space occupied by this triangle. This can be done if you multiply the base by the height and divide the result in 2 or b x h / 2.
6 squares (base) x 8 squares (height) = 48 / 2 = 24 squares
Also, the shaded area is approximately the half area of all the rectangle, in this case, you can calculate the area of the rectangle by multiplying side x side or length by width. This means 6 squares x 8 squares = 48 squares (total area), which divided by 2 (shaded area) is also equal to 24.
Answer:
B, 24.
Step-by-step explanation:
I solved it with my teacher
. Trisha walked
ofa mile to school.
She shaded a model to show how far
she had walked.
Which decimal shows how far Trisha
walked?
Answer:
b
Step-by-step explanation:
she walked for the first place in a while to be crying for a sec
f(x)=x^2-2x+3x; f(x)=-6x
Answer:
(-3,18) and (-1,6)
Step-by-step explanation:
[tex]x^2-2x+3=-6x\\<=> x^2+4x+3 = 0\\<=> (x+2)^2 -4+3=0\\<=> (x+2)^2-1^2 = 0\\<=> (x+2+1)(x+2-1) = 0\\<=> (x+1)(x+3) = 0\\<=> x+1 = 0 \ or \ x+3 = 0\\<=> x = -1 \ or \ x=-3[/tex]
so the solutions are
(-3,-6*-3=18) that we can write (-3,18)
and
(-1,-6*-1=6) that we can write (-1,6)
Need Assistance:
*Please Show Work*
Answer:
13
Step-by-step explanation:
1^5 is equal to one, since 1 to any power is 1.
Then, calculate the parentheses: 8 -2 + 6 = 12.
1 · 12 = 12
12 + 1 =
13
Answer:
13
Step-by-step explanation:
1⁵=1
(8-2+6)= 12
1*(12)= 12
12+1=13
This rule applies: rational•___
= rational.
Answer:
rational
Step-by-step explanation:
it's rational because a rational number * a irrational number is always irrational. a rational number times a rational number = a rational number. here are examples:
case 1 irrational times rational:
root two * 4 = 5.65685424949
case 2 rational times rational
8 * 5 = 40
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
(1,0)
Step-by-step explanation:
(-1+3)/2 = 1
(-1+1)/2 = 0
A recent survey indicated that the average amount spent for breakfast by business managers was $9.33 with a standard deviation of $0.24. It was felt that breakfasts on the East Coast were higher than $9.33. A sample of 81 business managers on the East Coast had an average breakfast cost of $9.41. At α=0.05, what is the test value?
Answer:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3[/tex]
Step-by-step explanation:
Information given
[tex]\bar X=9.41[/tex] represent the sample mean
[tex]s=0.24[/tex] represent the sample standard deviation
[tex]n=81[/tex] sample size
[tex]\mu_o =9.33[/tex] represent the value to verify
[tex]\alpha=0.05[/tex] represent the significance level
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to test if the true mean is higher than 9.33, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 9.33[/tex]
Alternative hypothesis:[tex]\mu > 9.33[/tex]
The statistic is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3[/tex]
Anna's project for her introductory statistics course was to compare the selling prices of textbooks at two Internet bookstores. She first took a random sample of ten textbooks used that term in courses at her college, based on the list of texts compiled by the college bookstore. Then, she obtained prices of the 10 randomly selected textbooks at the two Internet sites to test if the average prices of textbooks sold at the two internet bookstores are different. The prices of those textbooks at the two Internet sites are shown below. Perform a significance test comparing the population mean prices.
Site A $115 $79 $42 $138 $96 $25 $81 $97 $117 $69
Site B $110 $79 $39 $129 $96 $2 569 $97 $107 $66 5
Let mu_d be the population mean difference in price. State the hypotheses to test whether there is a difference in the mean price between the two Internet bookstores. Choose the correct answer below.
A. H_0: mu_d notequalto 0 and H_a: mu_d = 0
B. H_0: mu_d = 0 and H_3: mu_d > 0
C. H_0: mu_d = 0 = 0 and H_a: mu_d notequalto 0
D. H_0: mu_d = 0 and H_a: mu_d < 0
1. Determine the test statistic t = ______(Round to three decimal places as needed.)
2. Determine the P-value. P-value = _______(Round to three decimal places as needed.)
9×9+9-9
[tex] \tan(45 )[/tex]
Step-by-step explanation:
81 + 9 - 9
= 81
81 tan(45)
= 81
Answer: 81
Step-by-step explanation:
tan(45)=1
9*9+9-9
=81-0
=81tan45
=81
Each week, Marcia travels to the office where she works, the supermarket, and a local fitness center. The three locations represent the vertices of a triangle. Marcia wants to move to an apartment that is equidistant from these three places. Where should her new apartment be located? A. the center of the inscribed circle of the triangle B. the center of the circumscribed circle of the triangle C. the point of intersection of the angle bisectors for the triangle D. the point of intersection of the perpendicular bisectors and the angle bisectors for the triangle
Answer:
The new apartment should be located in the point of intersection of the perpendicular bisectors and the angle bisectors for the triangle. This point is called CIRCUMCENTER.
The circumcenter of a triangle is a point in the plane equidistant from the three vertices of the triangle. It is the point of concurrency of the three perpendicular bisectors of each side of the triangle.
Step-by-step explanation:
hope this helps
Which type of reasoning allows you to use observation to find the next three
values in the number pattern 1,4,7,10....?
A. Deduction
B. Induction
C. Decision making
D. Proof
Plz help me
Answer:
Induction
Step-by-step explanation:
Induction reasoning refers to conjectures which is what you will need for this
The Inductive reasoning allows to use observation to find the next three
values in the number pattern 1, 4, 7, 10, . . .
The correct answer is option (B)
What is inductive reasoning?It is a reasoning that is based on patterns you observe. By observing the pattern in the sequence, we can use inductive reasoning to decide the next successive terms of the sequence.A conclusion you reach using inductive reasoning is called a conjectureFor given example,
We have been given the number pattern 1, 4, 7, 10, . . .
Here, 4 - 1 = 3 ..................(i)
7 - 4 = 3 ..................(ii)
10 - 7 = 3 ..................(iii)
From (i), (ii) and (iii),
the common difference between consecutive terms is 3.
The next three values would be,
10 + 3 = 13
13 + 3 = 16
16 + 3 = 19
So, the number pattern would be 1, 4, 7, 10, 13, 16, 19, . . .
Therefore, an Inductive reasoning allows to use observation to find the next three values in the number pattern 1, 4, 7, 10, . . .
The correct answer is option (B)
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SIMPLIFY THE EXPRESSION -4 X 4 X 4 X 4 X4 X 4 X 4 X4
Answer:
-4 · [tex]4^{7}[/tex]
Step-by-step explanation:
A cylinder with a base diameter of x units has a volume of
cubic units
Which statements about the cylinder
options.
The radius of the cylinder is 2x units.
The area of the cylinder's base is ax? square units.
The area of the cylinder's base is nx square units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
Corrected Question
A cylinder with a base diameter of x units has a volume of [tex]\pi x^3[/tex] cubic units
Which statements about the cylinder are true? Check all that apply.
The radius of the cylinder is x units. The radius of the cylinder is 2x units. The area of the cylinder’s base is [tex]\dfrac{1}{4}\pi x^2[/tex] square units. The area of the cylinder’s base is [tex]\dfrac{1}{2}\pi x^2[/tex] square units. The height of the cylinder is 2x units. The height of the cylinder is 4x units.Answer:
The area of the cylinder’s base is [tex]\dfrac{1}{4}\pi x^2[/tex] square units. The height of the cylinder is 4x units.Step-by-step explanation:
If the Base Diameter = x
Therefore: Base radius [tex]=\dfrac{x}{2}$ units[/tex]
Area of the base [tex]=\pi r^2 =\pi (\dfrac{x}{2})^2 =\dfrac{\pi x^2}{4}$ square units[/tex]
Volume =Base Area X Height
[tex]\pi x^3 =\dfrac{\pi x^2}{4} X h\\$Height, h = \pi x^3 \div \dfrac{\pi x^2}{4}\\=\pi x^3 \times \dfrac{4}{\pi x^2}\\h=4x$ units[/tex]
Therefore:
The area of the cylinder’s base is [tex]\dfrac{1}{4}\pi x^2[/tex] square units. The height of the cylinder is 4x units.
[tex] \frac{a(3 + a)}{3} \leqslant \frac{z(a - 1) {}^{2} }{15} - \frac{(a - 1)(4 - a)}{5} + \frac{1}{5} [/tex]
can anyone help me?
* URGENT PLS HELP* WILL MARK BRAINLIEST: Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip? $20.00 $60.00 $70.00 $110.00
Answer: 70.00$
Step-by-step explanation:
The question states that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50.
so
20/3 * 10.50=70$
Answer:
70.00$
Step-by-step explanation:
If f(x) = + 8, what is f(x) when x = 10?
Answer:
We know that x = 10. But, we don't know what f is. In order to find f, we would divide. To divide we would use this formula: 8 ÷ 10. This equals 0.8 or 8 tenths. Now, we know what our f value is. It's 0.8! To double check, use a calculator and type in: 10*0.8 and see if the answer is 8. (Please mark brainliest! :D)
Select the correct way to write this fraction as a decimal number. 35/100
Answer:
Dear user,
Answer to your query is provided below
The correct way to write this fraction as a decimal number is 0.35
Step-by-step explanation:
We can simplify by dividing top and bottom by the greatest common factor.
(35/5)/(100/5)
A bookstore charges $4 for shipping, no matter how many books you buy. Irena makes a graph showing the shipping cost for I to 5 books. She claims that the points she graphed lie on a line. Does her statement make sense? Explain
Answer:
Yes
Step-by-step explanation:
1 book = $4
2 books = 2*$4
3 books = 3*$4
4 books = 4*$4
5 books = 5*$4
This can be shown as: y=4x
y=ax+b is linear function, Irena is right