Answer:
a) 0.0228
b) 94.6
Step-by-step explanation:
The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,
a) what is the probability that the sample mean is above 95? (4 d.p.) b)
= x = 95
Hence:
z = 95 - 75/40/√16
= 20/40/4
= 20/10
= 2
Probability value from Z-Table:
P(x<95) = 0.97725
P(x>95) = 1 - P(x<95) = 0.02275
The probability that the sample mean is above 95 to 4 decimal places = 0.0228
b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?
97.5% chance = z score for the confidence interval = 1.96
Hence:
z = (x-μ)/σ/√n
1.96 = x - 75/40/√16
1.96 = x - 75/ 40/4
1.96 = x - 75/10
Cross Multiply
1.96 × 10 = x - 75
19.6 = x - 75
x = 19.6 + 75
x = 94.6
The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6
Calculate the Social Security and Medicare tax that would be applied to an annual salary of $235,430. Use $106,800 for
maximum taxable earnings.
a. Social Security tax: $1,459.67, Medicare tax: $341.37
b. Social Security tax: $14,596.66, Medicare tax: $3,413.70
c. Social Security tax: $662.16, Medicare tax: $341.37
d. Social Security tax: $6,621.60, Medicare tax: $3,413.70
Answer:
D Social Security tax: $6,621.60, Medicare tax: $3,413.70
Step-by-step explanation:
Following are the calculation to the Social Security and Medicare tax value:
This Social Security tax is a percent to which both workers and employers must pay [tex]6.2\%[/tex] of employee wages, for a total of [tex]12.4\%[/tex].The state pension, which would be applied to a [tex]\$235,430[/tex] annual wage with a maximum tax liability:[tex]\to \$106,800\ is\ 12.4\%\ of\ \$106,800 = 0.124 \times \$106,800 = \$13,243.20[/tex]
Its payroll tax for Medicare is [tex]2.9\%[/tex].This only applies to earned income, which includes salaries and tips from an employer. We are liable for [tex]1.45\%[/tex] of a tax, which would be immediately withheld from your paycheck. The other [tex]1.45\%[/tex] is paid by your company. This Medicare tax would be charged to a [tex]\$235,430[/tex] annual salary with a maximum taxable income:[tex]\to \$106,800\ is\ 2.9\%\ of\ \$106,800 = 0.029 \times \$106,800 = \$3,097.20[/tex]
Therefore, the final answer is "$13,243.20 and $3,097.20".
Learn more:
brainly.com/question/1899088
If the length is 4 and the width is 6, what’s the height?
Answer:
The answer to this is: 24
Step-by-step explanation:
Ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile in 1/9 of an hour he bikes for miles in 1/4 of an hour at these rates how many minutes does it take Ben to run 2 miles and bike 8 miles?
Answer:120 minutes
Step-by-step explanation:
You see it's math
Answer:
110
Step-by-step explanation:
Can someone answer this question with the right answer
Answer:
Option 4: Triangle DBC is congruent to triangle RQP
Can somebody pls answer these three questions pls!!!!ASAP
Answer:
1) x=1
2) x=6
3) x=3
Step-by-step explanation:
i just did them :) good luck
One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).
How are the coordinates of the other endpoint expressed in terms of x and y?
Answer:
[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]
Step-by-step explanation:
We are given that one of the endpoints of the line segment is:
[tex]\displaystyle \left( x + 4, \frac{1}{2}y\right)[/tex]
And that the midpoint of the line segment is (3, -2).
And we want to find the other coordinates in terms of x and y.
We can consider using the midpoint formula:
[tex]\displaystyle M = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]
We are given that the midpoint is (3,-2). Substitute:
[tex]\displaystyle (3, -2) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]
We can solve for each coordinate independently.
x-coordinate:
We have:
[tex]\displaystyle 3=\frac{x_1+x_2}{2}[/tex]
One of the two endpoints is (x + 4, 1/2y). Hence, we can substitute x + 4 for x₁:
[tex]\displaystyle 3=\frac{(x+4)+x_2}{2}[/tex]
Solve for the second x-coordinate x₂:
[tex]\displaystyle \begin{aligned} 6 & = x+4 + x_2 \\ \\ x_2 + x & = 2 \\ \\ x_2 & = -x +2 \end{aligned}[/tex]
Hence, the x-coordinate of the second point is -x + 2.
y-coordinate:
We have:
[tex]\displaystyle -2=\frac{y_1+y_2}{2}[/tex]
We can substitute 1/2y for y₁. This yields:
[tex]\displaystyle -2=\frac{\dfrac{1}{2}y+y_2}{2}[/tex]
Solve for y₂:
[tex]\displaystyle \begin{aligned} -4 & = \frac{1}{2}y + y_2 \\ \\ y_2 & = -\frac{1}{2}y - 4\end{aligned}[/tex]
In conclusion, the other coordinate expressed in terms of x and y is:
[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]
Answer:
This is for a different question the answer above is correct because I used it steps. Now the question below is similar and is on the test.
Step-by-step explanation:
help with question 8 please
Answer:
the answer is G I believe
Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15…
Answer:
10000000000000000000000,
the next number: 1-934028049747284
that's all
pls report
thanks!))))
Step-by-step explanation:
List the side lengths from shortest to longest
Answer:
MO, NO, MN
Step-by-step explanation:
Answer:
the lengths from shortest to longest is: m, o, n.
Set up a equation and solve for X.
Next to each step write the postulate or property used for that step
Answer:
[tex] x = 4 [/tex]
Step-by-step explanation:
[tex] GH = 3x [/tex] (given)
[tex] HJ = x + 16 [/tex] (given)
[tex] GJ = 32 [/tex] (given)
[tex] GH + HJ = GJ [/tex] (segment addition postulate)
[tex] (3x) + (x + 16) = 32 [/tex] (substitution)
Solve for x
[tex] 3x + x + 16 = 32 [/tex]
[tex] 4x + 16 = 32 [/tex]
[tex] 4x + 16 - 16 = 32 - 16 [/tex] (subtraction property of equality)
[tex] 4x = 16 [/tex]
[tex] \frac{4x}{4} = \frac{16}{4} [/tex] (division property of equality)
[tex] x = 4 [/tex]
What are the opposites of 5, −2.4, 2.25, and 8 12 ? Enter the answers in respective order, each separated by comma.
Answer:
-5, 2.4, -2.25, -8, -12
Answer:
-5, 2.4, -2.25, -8, -12
Step-by-step explanation:
To make an number the opposite of itself you either make it a positive or negative. For example the opposite of 3 is -3 and the opposite of -3 is 3.
Label following study as either an observational study, an experiment, or neither.
Many parents have expressed concerns that pertussis vaccinations will cause wheezing disorders or asthma in later life. In 2009 the Journal of the American Academy of Pediatrics published research by the Institute of Social and Preventive Medicine in Bern, Switzerland. The researchers wanted to determine if routine childhood vaccination against pertussis (whooping cough) was associated with subsequent development of childhood wheezing disorders and asthma. The researchers studied 6811 children from the general population born between 1993 and 1997 in Leicestershire, UK. From birth through 2003, they conducted repeated questionnaire surveys about wheeze and asthma and then linked the respiratory symptom data to independently collected vaccination data from the National Health Service database. Then the researchers compared wheeze and asthma incidents for children of three different levels of vaccination (complete, partial, and no vaccination). The analyses were based on 6,048 children with available vaccination records.
a. observational study
b. an experiment
c. neither
Answer:
a. observational study
Step-by-step explanation:
An observational study is one in which the researcher seeks to discover the effect of a disease or treatment without interference on those who are affected or not affected by it. Observational studies could be of two types namely; the case-control, and the cohort study. The research given above is a cohort study because it compares a group of people born in the same time period and checks for the presence of a disease that could be linked to the vaccinations administered at birth.
A case-control study compares those affected by the disease to those not affected by it. An experimental study assigns the participants to groups and there is a control or placebo group. After this, the results from the groups are compared.
Jordan earns $15.35 per hour. on Tuesday , Jordan clocked in at 7:45 Am then clocked out for a break at 12:15 am and working until 6:00 pm a.How many hours did Jordan work b.what was his total pay for day
12:45Answer:
Part A: 9 hours 45 minutes
Part B: $126.1575
Step-by-step explanation:
Part A,
From 7:45 to 12:15 is 4 hours and 30 minutes
From 12:45 which he clocked back in to 6:00 is 5 hours and 15 minutes.
4 hours and 30 minutes plus 5 hours and 15 minutes = 9 hours and 45 minutes.
Part B, 9 hours and 45 minutes can be represented as 9.45
And since he gets 15.35 "per" hour shows we can multiply.
15.35 x 9.45 = 126.1575
Therefor he earned 126.15.
6x +3 = 7x-3
Solve this eqation plss
Answer:
6
Step-by-step explanation:
Step 1:
6x + 3 = 7x - 3 Equation
Step 2:
3 = x - 3 Subtract 6x on both sides
Step 3:
x = 3 + 3 Add
Answer:
x = 6
Hope This Helps :)
Find the distance between the two points in simplest radical form.
5,9 and -4,-3
Answer:
gg
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
15
The graph of h(x) = x2 – 3 is a translation of the
graph of f(x)
by
units.
Answer: down, by 3 units
Step-by-step explanation: -3 is negative so you go down on the graph 3 times
Answer:
down by 3 units
Step-by-step explanation:
i just did this assignment on edg
Kadyn rode his bicycle in a marathon for
176 miles. He took a rest stop every 22
miles. How many rest stops did Kadyn
take?
Answer:
8
Step-by-step explanation:
Plss help i dont understand :(
Marcos sells video games that he purchases from a distributor. He buys
each game for $30. If there is a 60% markup, calculate the markup and
selling price.
Answer:
the mark up would be $18. so the total sales price would be $48.
Step-by-step explanation:
What is the relationship between the constant propprtionality of 50 and 0.02
Answer:
Inverse Proportionality
Step-by-step explanation:
Given
Constants 50 and 0.02
Required
Determine the relationship
Let y = 0.02
Convert 0.02 to fraction
y = 2/100
Simplify to lowest form
y = 1/50
Recall that y = 0.02
0.02 = 1/50
From the above expression, we can conclude that the relationship between both is inverse.
In other words, 50 and 0.02 are inversely proportional
Please help me! 5:34 est answer as soon as you can!!
B because it is the only one were the 'y-coordinate' is not the same for 2 different 'x-coordinates'
hope this helps!!
simply in ratio 20:80
Answer:
I think the answers could range in anything that are GCF including 2:8
Step-by-step explanation:
idk how to do this..............
If a=3 what is the value of 2a2
Answer:
12
Step-by-step explanation:
You can break it down like this, 2 x a x 2 or 2 x 3 x 2
2x3=6 6x2=12
Answer: 12
Step-by-step explanation:
12
In an office building, 42 offices are currently being rented. This represents 40% of the total units. How many offices are in the building?
Answer:As per problem, 60% units constitute 72 offices. Let total number of units be x.
Hence, 0.6x = 72
or, x = 72/0.6 = 720/6 = 120
HTH
Step-by-step explanation:
4. What is the slope of the line that contains the points (-3,-9) and (4,-2)?
Answer:
The slope is 1
Step-by-step explanation:
Answer:
y = x – 6
Step-by-step explanation:
help me pleaseeeeeeee
Answer:
(0,4) and (-4,-2)
Step-by-step explanation:
Since the y-axis represents the distance above the ground, to find the intervals where the dron's distance above the ground is increasing, simply find the intervals where slope of the line is going upwards on the y-axis.
A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form?
IF U ANSWER SOMETHING JUS TO GET POINTS YOU WILL GET DELETED AND REPORTED !!!!
Answer:
y=3x+5
Step-by-step explanation:
Slope intercept form is always y=mx+b
'm' represents slope and 'b' represents y-intercept.
Hope it helped.
PLS HELP WHOEVER ANSWERS FIRST I WLL GIVE YOU BRAINLIEST!!!!!
Answer:
A Drill Pickle
Step-by-step explanation:
A Drill Pickle is the overall answer sentence, tho I can't really do all the work for you. Just count the squares and after the first 4 do mutiplication of the base (hight)
28. Simplity
a) 4x + 2x