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.
A summer movie club charges a $30
membership fee and then $5 per movie.
Which equation can be used to find y, the
total cost of the movie club, if x represents
the number of movies watched.
Is B right?
PLEASE HELP ME!!!!!.........
Answer:
C.
Step-by-step explanation:
Trust me.
Please help answer !:)
Will give brainlst!!
Have a nice day
Answer:
6) .000000947
7) 244000000
8) .076
Whats the answers to this question?
Answer:
1) e = 6
2) w = 10
3) s = 27
4) t = 4
Step-by-step explanation:
Cross multiplication
On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .02 .31 .25 .19 .13 .10 1.00 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.) Mean Standard deviation (b) Describe the shape of this distribution. multiple choice Skewed to the right Skewed to the left Symmetric
Answer:
Mean = 2.40
Standard deviation = 1.356
Step-by-step explanation:
Given the data:
X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total
P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00
The mean [E(X)]
Σx*p(x)
(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4
The standard deviation :
Std(x) = sqrt[VAR(x)]
Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2
Var(X) = 7.6 - 5.76 = 1.84
Std(X) = sqrt(1.84) = 1.356 (3 decimal places)
Is that the answer please help no links no links please help
Answer:
360
Step-by-step explanation:
V= L•W•H/3
10×12×9÷3
You are conducting a study of three types of feed supplements for cattle to test their effectiveness in producing weight gain among calves whose feed includes one of the supplements. You have four groups of 30 calves (one is a control group receiving the usual feed, but no supplement). You will conduct a one-way ANOVA after one year to see if there are difference in the mean weight for the four groups. What is k for this experiment?
a. 3
b. 30
c. 4
d. 120
Answer:
since we have four groups, the number of population k = 4
Option C. 4 is the correct answer
Step-by-step explanation:
Given the data in the question;
Number of group k = 4
the number of cases in each group = 30
so
n = 4 × 30
n = 120
SS_total = df = n - 1
= 120 - 1
= 199
SS_between = k - 1
= 4 - 1
= 3
since we have four groups, the number of population k = 4
Option C. 4 is the correct answer
As in Example 1, suppose a die is rolled. Find each probability.
Make 6 prime number using 1,2,3,4,5,6,7,8,9
Answer:
13,67,29,17,19,23
Step-by-step explanation:
Answer:
1+2=3
2+3=5
4+3=7
9+2=11
9+4=13
3-1=2
Translate this sentence into an equation.
54 is the sum of 15 and Jenny's age.
Use the variable j to represent Jenny's age.
Answer:
54= 15 + J
Step-by-step explanation:
j= 39
Find the volume of a cone with a base diameter of 10 cm and a height of 9 cm
Answer:
235.71cm^2
Step-by-step explanation:
Volume of cone = 1/3 pie r^2 h
1/3*22/7*5*5*9
= 235.71cm^2
Volume of a cone is 235.6 cm³.
Why is the volume of a cone?The volume of a cone with height h and radius r is 1/3πr2h, which is exactly one third the volume of the smallest cylinder that it fits inside. This can be proved easily by considering a cone as a solid of revolution, but I would like to know if it can be proved or at least visual demonstrated without using calculus.The volume of a cone is calculated the using the formula:
[tex]V = \frac{1}{3} \pi r^{3} h[/tex]
Given,
height of the cylinder is, h=9cm.
The diameter of the base is 10cm. r = 5 cm
put the values into the formula to get -
V = [tex]\frac{1}{3} * \pi * 5^{2} * 9[/tex]
[tex]V = 75 \pi[/tex]
Put value of π = 3. 14 ,
V = 75 * 3.14
V = 235.6 cm³
Therefore, Volume of a cone is 235.6 cm³.
Learn more about Volume of a cone brainly.com/question/1578538
#SPJ2
HELPPP PLSSS
ANSWER ALL PLS HELP AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answer:
1. 64
2. 36
3. 32
4. 20
5. 33
6. 30
Step-by-step explanation:
Sorry I can't see the symbols on questions 7-9
the sum of 8 and joses score is 35 use the variable j yo represent josés score
Answer:
8 + j = 35
subtract 8 from both sides
j = 27
Step-by-step explanation:
3) Find the area of the composite figure.
8 cm
2 cm
a. 44 cm
6 cm
5 cm
b. 50 cm?
5 cm
2 cm
c. 36 cm
8 cm
d. 22 cm
Answer:
8
Step-by-step explanation:
Please help, its my homework and I really need this done
Answer:
Surface area of cylinder = 91.2π cm²
Volume of cylinder = 57.6π cm³
Step-by-step explanation:
Given:
Height of cylinder = 1.6 cm
Radius of cylinder = 6 cm
Find:
Surface area of cylinder
Volume of cylinder
Computation:
Surface area of cylinder = 2πr[h+r]
Surface area of cylinder = 2π(6)[1.6+6]
Surface area of cylinder = 2π(6)(7.6)
Surface area of cylinder = 91.2π cm²
Volume of cylinder = πr²h
Volume of cylinder = π(6)²(1.6)
Volume of cylinder = π(36)(1.6)
Volume of cylinder = 57.6π cm³
Factor out the common terms: 24a + 12b - 40c
I'll give brainliest
Answer:
4(6a+3b-10c)
Step-by-step explanation:
Answer and Step-by-step explanation:
All of the terms have a common factor of 4.
4(6a + 3b - 10c)
#teamtrees #PAW (Plant And Water)
What is the ratio of m and 7 added to 2
Answer:
dndndndndndjdjxndnxnxnxjdjjxxjjddnxnxjjdjdjsjsjs
Step-by-step explanation:
hshshshssjsjznznznznsjshjzzhzh
Greg is pouring an entire gallon of milk in 10 glasses. What part of a gallon will be in each glass?
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
→ Divide the gallon by the number of glasses
[tex]\frac{1}{10}[/tex]
help lol i can’t do math and everything is due at midnight
graphing sucks
ugh. but anyway does anybody know how to graph using only an equation? please explain thoroughly. PLEASE SAVE MY LIFE!
- you can substitue x and y for 1, or 0 and graph each point
- use desmos and copy it
- depending on the type of equation find the x-intercept, y-intercept, vertex and then draw a line between them
The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again again again
Answer:
Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em
example 1:41.6
8-4=4x4=16
8x3.2=25.6
16+25.6=41.6
:)
Answer:
A. 15
B. 25.6
C. 41.6
Long before iPhones that hold thousands of songs and play
them with superb audio quality, individual songs were
delivered on 75-rpm and 45-rpm circular records. A 45-
rpm record has an angular speed of 45 revolutions per
minute. Find the linear speed, in inches per minute, at the
point where the needle is 1.5 inches from the record's
center.
Answer:
Do you mean an MP3 player?
Step-by-step explanation:
If x = 1 does x² - x = 0?
Answer:
Yes it does
Step-by-step explanation:
we would like to Prove the following for x=1:
[tex] \displaystyle {x}^{2} - x = 0[/tex]
since x=1 substitute:
[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]
to simplify it we can consider the order of PEMDAS which is a abbreviation of
ParenthesesExponentMultiplication orDivision Addition orSubstractionsince exponent come first
simplify exponent:
[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]
simplify substraction:
[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]
since left hand side equal to right hand side
hence, Proven
Alternate way:use a²-b²=(a+b)(a-b) to rewrite:
[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]
since x=1 substitute:
[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]
simplify square root:
[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]
simplify parentheses:
[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]
Multiplying any number by 0 results 0 thus
[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]
since left hand side equal to right hand side
hence, Proven
Given,
x = 1
We need to find if x² - x = 0 is true or false.
If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)
So,
=》x² - x = 0
By substituting ...
=》1² - 1 = 0
Now calculate...
=》1 - 1 = 0
=》0 = 0
•°• The given statement is true.
_____
RainbowSalt2222 ☔
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points) 30 pointss pls answer hurry
Answer:
The other guy's correct!
Step-by-step explanation:
Help on this one please
Answer:
74.2
Step-by-step explanation:
First think of a whole circle. The area of a circle is pi*r^2., which is 81 pi. Then the fraction of the circle is 105/360. Times this by 81 pi and you get about 74.2 and that is the answer.
By the way, can you follow me? Thanks!
-7x+4y=32
-5x-2y = -16
elimination method explain please
Answer:
(0,8)
Step-by-step explanation:
-7x+4y=32
-10x-4y=-32
-17x=0
x=0
-5×0-2y=-16
y=8
(0,8)
What is the slope for a line that is perpendicular to the line y = 4x + 8?
Answer:
m2 =1/4
Step-by-step explanation:
m1 . m2 = 1
m1 is given 4 then
4.m2 =1
4.m2/4 =1/4
m2 = 1/4
Hello there!
The slopes of perpendicular lines are opposite reciprocals.
So, if one line has a slope of 4, then the slope of the line perpendicular to it is the opposite of 4 flopped over (-1/4)
And we're done! Hope it helps you!
If you have any questions, feel free to ask!
~An excited gal
[tex]MagicalNature[/tex] here to help
what is 6/3 + (- 1/6)
Answer:
The answer to your problem is 1 5/6
Answer:
11/6
Step-by-step explanation:
First you need to get a common denomintor in order to add fractions. Here you can multiply 6/3 by two to get 12/6. Then you can just do 12/6-1/6 since adding a negative number is the same as subtracting, leaving you with 11/6, which cannot be reduced so that is your final answer.
in the month of July 3/8 of the shoes that were sold at the Houston of style footwear were sandals and 1/16 were clogs. what fraction of the shoes where either sandals or clogs?
Answer:
7/16 of the shoes were either sandals or clogs.
Step-by-step explanation:
Find a CD, which is 16.
Because we multiplied the denominator, we multiply the numerator as well.
3/8 becomes 6/16.
Now, because both of the denominators are the same, we are free to add both of the fractions together.
6/16 + 1/16 = 7/16.
Because this fraction isn't reducible, the answer will be 7/16.