Answer:
a) The 95% confidence interval for the lead concentration in water from this source is between 11.23 µg/L and 13.77 µg/L.
b) The upper bound of the confidence interval is less than 14 µg/L, which means that yes, we can conclude that the lead concentration is less than 14µg/L.
Step-by-step explanation:
We have the standard deviation for the samples, which mean that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 12 - 1 = 11
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.201
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.201\frac{2}{\sqrt{12}} = 1.27[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12.5 - 1.27 = 11.23 µg/L.
The upper end of the interval is the sample mean added to M. So it is 12.5 + 1.27 = 13.77 µg/L.
The 95% confidence interval for the lead concentration in water from this source is between 11.23 µg/L and 13.77 µg/L.
(b) Can you conclude that the lead concentration is less than 14µg/L?
The upper bound of the confidence interval is less than 14 µg/L, which means that yes, we can conclude that the lead concentration is less than 14µg/L.
What is the simplified value of the expression below?
StartFraction 7 times 8 + 20 (4.5) over 16 times 0.5 EndFraction
18.25
21.38
110.25
119.50
Answer:
C: 110.25
Step-by-step explanation:
The simplification form of the provided expression is 18.25 option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have a mathematical expression:
[tex]= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}[/tex]
= (56 + 90)/8
= 146/8
= 18.25
Thus, the simplification form of the provided expression is 18.25 option (A) is correct.
Learn more about the expression here:
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Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.
Answer:
180,000
Step-by-step explanation:
You got to multiply all the numbers and then divide by 600 and then you het your anwser
Simplify (-3/5) divided by (7/6)
-18/35 is the answer to (-3/5) divided by (7/6)
In ΔUVW, w = 11 cm, ∠W=8° and ∠U=132°. Find the area of ΔUVW, to the nearest square centimeter.
Answer:
208
Step-by-step explanation:
Delta math
Terrell ran around a track that was 100 yards long.
How many feet did he run?
Answer:
300ft
Step-by-step explanation:
Answer:
300 ft
Step-by-step explanation:
1 yd = 3 ft
100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft
Answer: 300 ft
How does the stimulus check impact society please help me please i really need help please
Answer:
The stimulus check impacts society because it helps people or rather encourages people to invest. Not only individuals but also businesses. It also shows how the stimulus check gives more than peoples incomes. Not everyone can get the stimulus check, only tax payers who pay taxes every year and have a public job. This impacts society because not everyone can get the stimulus check, and some people receive lots of money and other people might get just a little. At the end of the day, it all depends on how much taxes you are paying each year and which job you have.
Hope this helps! :)
You work and your hourly wage is $12.25 if you work 40 hours this week ,how much money would you make before taxes?
Answer:
$490
Step-by-step explanation:
Since one hour of work is $12.25, 40 hours is $490.
12.25 x 40 = 490
------------------
John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”
Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.
If your bank offered you 3% interest on $5,000 in your savings account, how much money would you have in your account at the end of the year after interest?
Answer:
$150
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or: I= p * r * t
Select the quadrant or axis where each ordered pair is located on a coordinate plane.
Answer:
(-5,7) 2nd (8.5,-4) 4th (0,5) y-axis
Step-by-step explanation:
Which of the equations below could be the equation of this parabola?
Answer:
The correct answer is C
Your welcome:)
The equation below could be the equation of this parabola is y = -5x².
Option A is the correct answer.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
We have,
Since the parabola vertex is at (0,0) and is open to the left, the equation of the parabola must be of the form:
y = a x², where a is a positive constant.
Now,
The only equation that fits this form is y = -5x².
Thus,
The equation below could be the equation of this parabola is y = -5x².
Learn more about parabola here:
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if GameStop buys a video game for $35.00 and sells it with a 15% markup. How much does it cost the customer?
Answer:
40.25$
Step-by-step explanation:
Write and solve an equation to determine the height of a rectangular prism
with a width of 6 millimeters, a length of 20.5 millimeters, and a volume
of 984 cubic millimeters.
PLEASE HELP
Answer/Step-by-step explanation:
H = V/lw
H = 984/20.5*6
H = 984/128
H = 8
ANSWER:
H = 8
What’s the volume of each cylinder
Answer:
471.24 is cylinder A
282.74 is cylinder B
Step-by-step explanation:
https://www.calculator.net/volume-calculator.html
here's the calculator I used.
110 calories
5 gummy bears
What is the unit rate per gummy bear?
Answer:
348.7 Calories (per 100 g)Step-by-step explanation:
Answer:
it is 22 because if you divide 110 ÷ 5=22
PLEASE HELP ME W THIS
9514 1404 393
Answer:
(b) C = dπ
Step-by-step explanation:
The irrational value π is the ratio between the circumference of a circle and its diameter. That is ...
π = C/d
Rearranging to get a formula for the circumference, we have ...
C = dπ
NANDARIINI RINNERIE MIRANI INDONESIA NOUTATI x2 - 7 when x = 8 mundo
Answer: 57
Step-by-step explanation:
x² - 7
When x = 8
= x² - 7
= 8² - 7
= 64 - 7
= 57
jawabannya adalah 57
Jason built a model of the Pentagon for a social studies project. He made each outside wall 33 centimeters long. What is the perimeter of Jason’s model pentagon?
Answer:
165 centimeters
Step-by-step explanation:
A pentagon has 5 sides
Each side is 33 centimeters long
5 x 33 = 165
Fill in the blanks
will choose brain
Convert 562 hectograms to pounds to the nearest hundredth
Answer:
Is that your answer
Answer:
123.90
Step-by-step explanation:
1 Hectogram = 0.22 lbs
[tex]562*0.22=123.90\\[/tex]
please help me someone i really need this to get my grade up :(
Answer: D
2 1/2 divided by 1/4 = 10
hope this gets ur grade up keep trying ur best!! :D
Y=1/4 x + 2 which is the equation of a line parallel to the line with the equation
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
2 0 4 3 1.
Step-by-step explanation:
u mean 10 points
One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?
9514 1404 393
Answer:
7.5×10^3 grams
Step-by-step explanation:
Your calculator can tell you the product of the weight of each times the number of them. It is ...
(1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams
About 7.5 kg.
PLS HELP THIS IS TRIGONOMETRY!!!! PLS SHOW STEPS
Answer:
third side =√{30²+16²)=34
sin theta/2=16/34
theta/2=sin-¹(16/34)
theta=28.07×2=56.14
Find the product. 2 (-5)
Answer:
-10
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
a positive times a negative is a negative number
and 2 x 5 is 10
so it`s -10
what is the radius of a sphere whose surface area is 100cm²?
Answer:
r≈2.82
Step-by-step explanation:
Hope this helps and have a great day!!!
Step-by-step explanation:
that can help you
Is (4, 3) a solution to the inequality 7x + 5y = 15?
yes
no
Answer:
no
Step-by-step explanation:
7x+5y=15
(x,y)
(4,3)
put in 4 for x and 3 for y
7(4)+5(3)=15
43=15
This equation is impossible
Hope that helps :0
Step-by-step explanation:
7x+5y=15 (x=4,y=3)
7(4)+5(3)=15
28+15=15
43>15
they are no equal
follow me
PLEASEEEE HELP I WILL MAKE YOU BRAINIEST
Answer:
14
Step-by-step explanation:
Because right angles are 90 degrees, we need to subtract 34 from 90 which gets us 56. That means 56 = 4x, so 56/4 = 14, therefore X = 14.
Hope this helps!
Both angles form a right angle which is 90 degrees.
Angle 2 would equal 90 degrees - angle 1
Angle 2 = 90 -34 = 56
So now we know 4x = 56
To find x divide both sides by 4
X = 14
Which of the following is the solution to ?
Answer:
Could you add more info?
Step-by-step explanation:
For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.
a. A researcher randomly assigns a group of 25 unemployed workers to receive a new job skills program and 24 other workers to receive the stan- dard job skills program, and then measures how well they all do on a job skills test.
b. A researcher measures self-esteem in 21 students before and after taking a difficult exam.
c. A researcher tests reaction time of each member of a group of 14 individuals twice, once while in a very hot room and once while in a normal- temperature room.
Answer:
1. T test for independent means
2. T test for dependent means
3. T test for dependent means
Step-by-step explanation:
In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.
- The groups in the experiment are unrelated
- The tests in the research are unrelated
- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.
In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.