Answer:
1568
Step-by-step explanation:
The computation of the minimum sample size is shown below:
Given that
Error E = 11
The population standard deviation [tex]\sigma[/tex] =217
Confidence level 1-α = 95%
Now following formula should be used
n > (Zalpha ÷ 2 × sigma ÷ E)^2
As we know that
Zalpha ÷ 2= 1.96
Now the sample size is
n> (1.96 × 202 ÷ 10)^2
= 1568
A recent study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.
complete question
study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving ( The Wall Street Journal , May 5, 2010). In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.a. State the null and the alternative hypotheses to test the policy analyst’s objective.
b. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? What is the p-value?c. At α = 0.05 has the law been effective?
d. Repeat this exercise using the critical value approach with α = 0.05
Answer:
1. H0: p>=0.82
H1: p<0.82
2. z test statistic = -2.5767
3. the law has been effective
4. the null is rejected, the law has been effective
Step-by-step explanation:
1. hypothesis formulation
H0: p>= 0.82
H1: p< 0.82
2. p = 82% = 0.82
estimated p^ = x/n = 150/200 = 0.75
standard error calculation:
= √0.82(1-0.82)/200
= √0.82x0.18/200
= √0.02716615
Z test statistic calculation:
= 0.75-0.82/0.02716615
= -2.5767
3. this test is 1 tailed
the p-value using a p value calculator is = 0.004983
0.004983 < 0.05 so we Reject null and conclude that the law has been effective.
4. we Reject null at 0.05 if z is less than -1.645.
-2.5767<-1.645 so we Reject H0 and conclude law has been effective and there is a decrease in drivers under this age who use cell phones
A 30%tip on a $50 haircut.
Answer:
$15
Step-by-step explanation:
a + b − _____ = a
help :)
Step-by-step explanation:
Subtract a from both sides
a-a+b-___=a-a
b-__=0
b=___
answer:b
Hope that helps :)
It's b. It's a + b - b = a.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
7 x - 9 + 11 x - 9 = 180
Step-by-step explanation:
For the equation: 7 x - 9 + 11 x - 9 = 180
Value of X is 11
7x - 9 + 11x - 9 = 180
combine values
18x - 18 = 180
18x = 198
18x/18 = 198/18
x = 11
Angle Measures is
7 (11) - 9 = 77-9 = 68 degrees
11 (11) - 9 = 112 degrees
Bill launched a model rocket, and estimated its height h, in feet, after 1 seconds. His results are shown in the table.
Time to 1 2 3 4
Height, h 0 110 190 240 255
Bill's data can be modeled by the function h(t) = -16t2 + 128t.
Which value is the best prediction for the height of the rocket after 5.5 seconds?
A. 150 ft
B. 180 ft
C. 220 ft
D. 250 ft
E 260 ft
Answer:
22ft
Step-by-step explanation:
Given the height of Bills modeled by the function h(t) = -16t^2 + 128t.
To get his height after 5.5secs, we will replace t with 5.5 a shown;
h(t) = -16t^2 + 128t.
h(5.5) = -16(5.5)^2 + 128(5.5)
h(5.5) = =-484+704
h(5.5) = 220ft
Hence his height after 5.5secs is 22ft
Need Help ASAP : Math Question : Professional football field is 160 feet wide. What's the width of the field in yards?
Answer:
53.3333
Step-by-step explanation:
I took 160 feet and converted it to yards
Tim played soccer for 55 minutes this afternoon. He started at 3:20. What time did he finish?
Determine the value of A, the NET salary received by Mr Makatle for
1.3 Show how the UIF contribution of R82.36 was calculated.
1.4 Mr Makatle claims that the cumulative medical and contributions indicate on teza
advice is incorrect. Verily using calculations, whether is claim is valid
5 Calculate his monthly tax contribution as a percentage of his gross szias-
UESTION 2
Danielle is a 48-year-old female who works for MK Designs. She eares a trasie by
FR45 600,50 and an annual bonus equal to her basic monthly salary. Her sa
come for the 2018/2019 tax year is made up of her basic monthly salary on
Ons
Answer:
hfgf td utdu6kjyyyudytdcyu6 vfhdutd,ld
Step-by-step explanation:
1. The value of A, the Net Salary received by Mr. Makatle is R 5,369.49 (R8,236,00 - R 2 866,51), which is the gross pay minus total deductions.
2. The UIF contribution of R82.36 was calculated as 1% of R8236,00 (R 8,236 x 1%).
3. Mr. Makatle's claims that the cumulative medical contributions indicated on his pay advice are incorrect are valid.
The cumulative medical contributions for the year are supposed to total R 17,640 (R 1 764,00 x 10) instead of R 6,177.00, which represents the pension's cumulative contributions.
4. Mr. Makatle's monthly tax contribution as a percentage of his gross salary is 4.8865%.
Tax contribution = R 402.45
Gross monthly salary = R 8 236
Percentage of tax contribution to gross salary = 4.8865% (R402.45/R8,236 x 100)
5. For question 2, we can use the rates computed from Mr. Makate's salary advice to calculate Danielle's net pay for the year.
Danielle's Net Pay:Basic Salary FR 45 600,50
PAYE R 2,228.27 (4.8865%)
UIF R 456.01 (1%)
Pension Fund R 3 420. 04 (7.5%)
Medical Aid contribution R 9,766.72 (21.418%)
TOTAL DEDUCTIONS R 15,871.04
NET SALARY R 29,729.46
What is net pay?The net pay is the difference between a salary earner's gross income and the deductions made before the payment of salary.
The net pay represents the amount that the salary earner goes home with.
The net pay is also known as the take-home pay.
Question Completion:Mr. Paul Makatle is an employee at a clothing factory The following deductions are made from his gross monthly salary:
• 7,5% of his gross monthly salary for pension fund contributions
• UIF (Unemployment Insurance Fund) of 1% of his gross monthly salary
• PAYE (Pay as you earn) tax as per tax bracket
Use the salary advice below that Mr. Makatle receives for December 2020 to answer the questions that follow.
Basic Salary R 8 236,00
PAYE R 402.45 (4.8865%)
UIF R 82,36 (1%)
Pension Fund R 617,70 (7.5%)
Medical Aid contribution R 1 764,00 (21.418%)
TOTAL DEDUCTIONS R 2 866,51
NET SALARY R 5 369,49
GROSS SALARY IRP5 PARTICULARS-cumulative year to date:
R 82360,00
Total Employee's Tax R 6177.00
Medical Aid contr R 6,177.00
Question 1 Requirements:1. Determine the value of A, the NET salary received by Mr. Makatle
2. Show how the UIF contribution of R82.36 was calculated.
3. Mr. Makatle claims that the cumulative medical contributions indicated on his pay advice are incorrect. Verify, using calculations, whether his claim is valid
4. Calculate his monthly tax contribution as a percentage of his gross salary.
5. Calculate Danielle's net pay for the year, using Makatle's pay advice.
Learn more about gross and net salaries at https://brainly.com/question/25267964
Another one plssssssssssssssssss
Answer:
3
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
I beleive it is -1 but I could be wrong. Let me know if it is and I will try and correct it
I need help with solving this equation.
Answer:
66 m².
Step-by-step explanation:
From the question given above, the following data were obtained:
Diagonal 1 (d₁) = 11 m
Diagonal 2 (d₂) = 12 m
Area (A) =?
The area of a rhombus when the diagonals are given can be obtained as follow:
A = ½(d₁d₂)
A = ½ × (11 × 12)
A = ½ × 132
A = 66 m²
Thus, the area of the rhombus is 66 m²
Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.
9514 1404 393
Answer:
see below
Step-by-step explanation:
Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...
(x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))
(x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)
__
It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.
Is the following equation exponential? Why or why not y=x^2+5
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Yes because of x^2
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Help with number 3 please :)
Answer:
32
You’re... welcome?
Answer:
32
Step-by-step explanation:
The guest column is increasing at a rate of 8, so naturally, the next number would be 32. The cookie column is increasing by 3.
Solve for the value of a.
Answer:
7 will be the answer.
Step-by-step explanation:
The angles are complementary angles i.e their sum is 90°.
(5a+3)°+52°=90°
5a+55°=90°
5a=90°-55°
5a=35°
a=35°/5
a=7
Answer these questions please i need to pass my grade but i dont know this
An equilateral triangle has a side length of 10 units. What is it’s area?
Answer:
[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.
The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]
4 Does the equation y = x represent a function? Explain why or why not.
Answer:
y=x is a function!
Step-by-step explanation:
The reason it is a function is because it can create a:
A slope
A why y and x intercept
and a graph
Remember that x=1 and Y=1 ALWAYS
Yuri and Nathan both made posters. Yuri made 1,272 copies of his poster. Nathan made 325 copies of his poster. How many more copies did Yuri make than Nathan?
Answer:
Yuri made 947 more copies than Nathan.
Step-by-step explanation:
Since we are finding the difference from the amount Yuri and Nathan made, the operation is subtraction. Since Yuri made more copies, his number will go first: 1272-325. Then, we solve by subtracting the two numbers, and you should get 947.
Thus, Yuri made 947 more copies than Nathan.
Corbin can shoot 24 baskets In 3 minutes. Which table best
represents this relationship?
Answer:
Table CStep-by-step explanation:
This is the proportional relationship:
y = kxWe have x = 3, y = 24, then k is:
24 = 3k k = 8The table will look as:
x = 1 ⇒ y = 1*8 = 8x = 2 ⇒ y = 2*8 = 16x = 5 ⇒ y = 5*8 = 40Correct choice is C
Answer:
c
Step-by-step explanation:
someone please help me answer this!!
Answer:
100 in is the answer.
Step-by-step explanation:
a = 60 in
b = 80 in
c = ?
According to the Pythagorean theorem,
a² + b² = c²
60² + 80² = c²
3600 + 6400 = c²
c² = 10000
c = 100 in
∴ the distance between the opposite corners of the bed is 100 in
1 4/8 - 7/8 what is the answer
Answer:
0.875
Step-by-step explanation:
have a good day/night
may i please have banilliest
thank u
sorry if wrong
Last year, Lebron James made $22, 970,000. This year he made $26,440.000. How much did Lebron James make from both years together?
Answer:
49,410,000
Step-by-step explanation:
because calculator
solve plsssssssssssss
Answer:
7/24 is x and 24/25 is y :)
Step-by-step explanation:
hopefully that helped
Select all the expressions that equal 4 x 106.
(2 x 108) (2 x 10-2)
40 x 105
1.2x10°
3x102
406
400,000
A building 240 feet tall casts a 40 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)
9514 1404 393
Answer:
80.38°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...
tan(α) = 236/40
α = arctan(236/40) ≈ 80.38°
if a sphere has radius of 13 centimeters what is the volume
PLS HELP WILL GIVE BRAINLIEST PLSSSSSSSS
Which point does NOT lie on the graph of the line 6x + 3y = 18?
A. (1, 4)
B. (3, 0)
C. (5, 4)
D. (6, -6)
Answer:
C
Step-by-step explanation:
6 * 5 = 30
3*4 = 12
30 + 12 = 42
42 does not equal 18
Answer:
The answer is C. (5,4)
Step-by-step explanation:
have a great day.
Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =
Answer
its confusing
Step-by-step explanation:
multiply the polynomial
(x-1)(2x^2-5x+1) 
Answer:
2x^3 - 7x^2 + 6x - 1
Step-by-step explanation:
Thank me later lol.
Will give brainliest and 50 points
Find the area of this triangle.
Round to the nearest tenth.
7 m
125°
14 m
[?] m2
Answer
40.1
Area of a triangle using sine rule = 1/2 a b sinC
a and b are the two known sides, sinC is the angle opposite the unknown side
1/2 x 14 x 7 sin(125) = 40.1 to the nearest tenth
Hope this helps
Answer:
40.1
Step-by-step explanation: