If you bought something in Texas for $52.00, you would be charged $3.25 in state sales tax. What is the state sales tax rate in Texas? Round your answer to the nearest hundredth of a percent
Answer:6.25%
Step-by-step explanation:
3.25 / 52 = 0.0625
A survey of randomly selected visitors to a mall yielded the following data:
Approved new design for the seating in the food court
Number surveyed
Male
155
254
Female
157
301
Based on this sample, what would be the correct decision and conclusion of a test to determine whether the proportion who approve the design plan for the seating area in the food court is higher for men than it is for women at the 5% level?
a) Reject the null concluding that there is evidence the proportion is higher for men.
b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.
c) Do not reject the null hypothesis concluding that there is evidence that the proportion is higher for men.
d) Reject the null concluding that there is evidence the proportion is higher for women.
e) Do not reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.
Answer:
The answer is A
Step-by-step explanation:
Reject the null concluding that there is evidence the proportion is higher for men.
Using the z-distribution, as we are working with proportions, it is found that the correct option is:
b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportions are the same, that is:
[tex]H_0: p_M - p_W = 0[/tex]
At the alternative hypothesis, it is tested if it is higher for men, that is:
[tex]H_1: p_M - p_W > 0[/tex]
What is the distribution of the difference of proportions?For each sample, we have that:
[tex]p_M = \frac{155}{254} = 0.6102, s_M = \sqrt{\frac{0.6102(0.3898)}{254}} = 0.0306[/tex]
[tex]p_W = \frac{157}{301} = 0.5216, s_W = \sqrt{\frac{0.5216(0.4784)}{301}} = 0.0288[/tex]
Then, for the distribution of differences, the mean and the standard error are given by:
[tex]\overline{p} = p_M - p_W = 0.6102 - 0.5216 = 0.0886[/tex]
[tex]s = \sqrt{s_M^2 + s_W^2} = \sqrt{0.0306^2 + 0.0288^2} = 0.042[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis, hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0886 - 0}{0.042}[/tex]
[tex]z = 2.11[/tex]
What is the decision?Considering a right-tailed test, as we are testing if the proportion is higher than a value, with a significance level of 0.05, the critical value is of [tex]z^{\ast} = 1.645[/tex].
Since the test statistic is greater than the critical value for the right-tailed test, there is enough evidence to reject the null hypothesis that the there is no evidence that the proportion is higher for men, hence option b is correct.
More can be learned about the z-distribution at https://brainly.com/question/26454209
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
+ 12x + 3y = 72
14x = 70
14x/14= 70/14 → x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
7y/7= 28/7 → y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.
Explain how you know that a system of equations has no solution.
Explain how you know that a system of equations has an infinite number of solutions.
Answer:
Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.
Find the value of the expression 100 – 10p3 when p = 0
Answer:
Step-by-step explanation:
despacito
Please help ASAP!!!
Answer:
Cry about it wah wah wahhhhhhhh
Step-by-step explanation:
Answer the statistical measures and create a box and whiskers plot for the following set of data.
4, 5, 6, 6, 6, 8, 9, 9, 9, 11, 11, 12, 12, 14, 14
4,5,6,6,6,8,9,9,9,11,11,12,12,14,14
Answer:
B
Step-by-step explanation:
Your answer should be written in paragraph/essay format.
Any sources used should be cited at the bottom of your paper.
All answers should show you have learned something from Unit 9. Material from other units will not be graded for this assignment.
If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions.
Giving 13 points!! Help help help
Answer:
a. 15
b. 27
c. 4
d. 72
e. 2
Step-by-step explanation:
If you need an explanation lmk! happy to help.
A boat travels 176 miles in 13
hours (with a constant speed).
How far can it travel in 22 hours
(with the same speed)?
Answer:
297.84 miles
Step-by-step explanation:
176 miles in 13 hours is 13.5 miles per hour
13.5 * 22 = 297.84
Help me out please??
what is 50 x356 PLZ HELP MY ANSWER IS 178000 AM I RIGHT
What is the common multiple of 2,960 6,400 and 2000 with full process
Answer:
1184000
Step-by-step explanation:
lcm(2960,6400,2000)
prime factor:
[tex]2960=(2^4)(5)(37)\\6400=(2^8)(5^2)\\2000=(2^4)(5^3)[/tex]
Take the largest power of each factor:
[tex](2^8)(5^3)(37^1)\\=1184000[/tex]
What is the equation for this line, in Slope Intercept Form (6,1) and (2,-1)
Answer:
y=1/2x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-1)/(2-6)
m=-2/-4
m=1/2
y-y1=m(x-x1)
y-1=1/2(x-6)
y=1/2x-6/2+1
y=1/2x-3+1
y=1/2x-2
What is the area of the base of the figure
48
45
30
24
i believe the area is 48 if it's not correct sorry
3 ⅕ -⅔ divided by 2 ⅘
Answer:
160/196
Step-by-step explanation:
it would be easier if you converted all fractions to improper fractions
so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5
[tex]\frac{14}{5} - \frac{2}{3}[/tex] : to solve this you would need the same common denomenator,
to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15
thus
multiplying first fraction by 3 and the second by 5
42/15 - 10/15 = 32/15
now 32/15 divided by 14/5
the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:
[tex]\frac{32}{14}[/tex] multiplied by [tex]\frac{5}{14}[/tex]
thus, answer is 160/196
PART B—- Find the surface area of the figure. PLEASE HELP!!
Just part b!
Answer:
24 ft^2
Step-by-step explanation:
Surface area is the total area on the surface of the figure.
One side of the cube is 4 ft^2 (2ft*2ft)
there are 6 sides.
4ft^2 * 6 sides is 24 ft^2
you purchase a bike for$175 the store-bought it from the manufacture for $100 what is the percent markup
Answer:
Step-by-step explanation:
5. In the diagram above, what is the volume of the rectangular prism?
A. 120 cm
B. 162 cm
C. 324 cm
D 360 cm
Answer:
The answer is D.
Step:
6*5*12=360
Find the value of x.
(Round to the nearest tenth as needed.)
Answer:
x ≈ 12.8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Angle θ = 58°
Opposite Leg = x
Adjacent Leg = 8
Step 2: Solve for x
Substitute in variables [tangent]: tan58° = x/8[Multiplication Property of Equality] Isolate x: 8tan58° = xRewrite: x = 8tan58°Evaluate: x = 12.8027Round: x ≈ 12.8I’m confused need help please
Answer: The answer is 8
use the gcf to rewrite the expression 20r+16z
Answer:
20r + 162= 4(5r + 4z
Hope this helps and is right.
hey I could use some help!
Answer:
b is the right answer
Step-by-step explanation:
PLEASE HELP IMAGE ATTACHED⚠️⚠️⚠️⚠️⚠️
Answer:
A'(4, -3) ; T'(-1, 4)
Step-by-step explanation:
Multiply the coordinates by 1/2, or divide them by 2 to get the new points.
A(8, -6) ⇒ A'(4, -3)
T(-2, 8) ⇒ T'(-1, 4)
Put the following equation in Standard Form:
(1/2)x - 4 = (2/3)y
Answer:x=4/3y+8
Step-by-step explanation:
Step 1: Add 4 to both sides.
Step 2: Divide both sides by 1/2.
Answer:
3x-4y =24
Step-by-step explanation:
hope this helped xoxo
Example 3
he two In a class of 60 students, 46 passed Biology
and 42 passed Chemistry. Every student
ariable passed at least one of the two subjects. How
many students passed in both subjects?
Solution
Let U = students in the class
cps
Answer:
28 students passed in both subjects.
Step-by-step explanation:
We solve this question treating each event as a Venn set.
I am going to say that:
Event A: Passed Biology.
Event B: Passed Chemistry.
46 passed Biology
This means that [tex]A = 46[/tex]
42 passed Chemistry.
This means that [tex]B = 42[/tex]
Every student passed at least one of the two subjects.
This means that [tex]A \cup B = 60[/tex]
How many students passed in both subjects?
This is:
[tex]A \cap B = A + B - A \cup B[/tex]
From the values we have above
[tex]A \cap B = 46 + 42 - 60 = 28[/tex]
28 students passed in both subjects.
Which of the values in the set (2, 3, 4, 5) is a solution to the equation 2x + 4 = 10?
Answer:
3
Step-by-step explanation:
2x+4=10
2(3)+4=10 2*3 = 6
6+4=10
10 = 10
For to 30-60-90 triangle below, the length of side AB is 52 cm.
Find the length of CB.
PLZ
Answer:
Using 60°
Let side CB be x
Cos60= x/52
Cross multiply=
x= 52cos60
x= 26 cm
Which fraction is equivalent to the whole number 8?
A.1/8
B.2/10
C.12/8
D.16/2
Answer:
D: 16/2
Step-by-step explanation:
you take 16 and divide it by 2 making your answer 8
ILL GIVE BRAINIEST ANSWER IM IN A RUSH!!!!!PLEASE AND THANK YOU!
Answer:
I believe the answer is $52.46
Hope this helps :)
The equation for the circle below is x2 + y2 = 16. What is the length of the
circle's radius?
Answer:
4
Step-by-step explanation:
The general equation circle is
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
Where r is the radius
Plug in the equation
[tex] {x}^{2} + {y}^{2} = 16[/tex]
Take the sqr root of 16 tocfind the radius
[tex] \sqrt{16} = 4[/tex]
What is the product of 2 and 2 square foot 80
Answer:
35.7 I believe
Step-by-step explanation: