Using the z-distribution, as we are working with a proportion, the 90% confidence level estimate for the true proportion of employees in the district who have gotten a flu shot is (0.2355, 0.4784).
What is a confidence interval of proportions?As long as there are 10 successes and 10 failures in the sample, that is, [tex]n\pi \geq 10[/tex] and [tex]n(1 - \pi) \geq 10[/tex], a confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, the parameters are:
[tex]n = 42, \pi = \frac{15}{42} = 0.3571, z = 1.645[/tex]
We have the [tex]n\pi = 15, n(1 - \pi) = 27[/tex], hence you can find the interval.
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3571 - 1.645\sqrt{\frac{0.3571(0.6429)}{42}} = 0.2355[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3571 + 1.645\sqrt{\frac{0.3571(0.6429)}{42}} = 0.4787[/tex]
The 90% confidence level estimate for the true proportion of employees in the district who have gotten a flu shot is (0.2355, 0.4784).
More can be learned about the z-distribution at https://brainly.com/question/25890103
Pls help me with this problem
Answer:
SAS
Step-by-step explanation:
Please help me! The correct answer will get brianliest!!!
Step One, Find out the radius of the inner circle:
Circumference = 2πr
Circumference = 12.56
12.56 = 2πr
12.56/3.14 = 2r
4 = 2r
r = 2m
Step Two, Find out the radius of the entire circle:
2m + 3m = 5 m
Step Three, Find out the radius:
Area of circle = πr^2
Area of circle = 3.14 * 5^2
Area of circle = 3.14 * 25
Area of circle = 78.5 square meters
John's house is 12 miles away from school. He is
2/3 of the way home. How many miles has he walked?
08
O 16
O 18
O 24
Answer:
the answer is 8 miles
Step-by-step explanation:
Answer:
Maybe It should be 8.
Step-by-step explanation:
Maybe 8 because if he walked only 2/3 of a mile than it can't be bigger than 12. If you understand what I'm saying. If he walks 12 miles from home to school than it can't be more than the number your starting with. Im not actually sure that much but try it!
A father is now 38 years older than his son.Ten years ago he was twice as old as his son.How old are the father and son?
Answer:
father's age = 86
son's age = 48
Step-by-step explanation:
86-10=76
48-10=38
38*2 = 76
Answer:
father: 86son: 48Step-by-step explanation:
You can use your number sense to reason your way through this problem, or you can write equations for it. If the father is 38 years older than his son, and that makes him twice as old, the son must be 38 and the father 76. This was the condition 10 years ago, so their ages now are ...
father: 86son: 48__
If you prefer to solve a set of equations, you can assign variables f, s, to the father's age and the son's age respectively.
f = s +38 . . . . . . the father is 38 years older than the son.
(f -10) = 2(s -10) . . . . 10 years ago, the father was twice as old as the son
The first equation gives an expression we can use to substitute into the second equation:
s +38 -10 = 2s -20 . . . . substitute for f, eliminate parentheses
48 = s . . . . . . . . . . . add 20-s, collect terms
f = 48 +38 = 86
The father is 86; the son is 48.
_____
Additional comment
An age difference remains the same through the years. It is the same now as 10 years ago or 10 years in the future. A multiplying factor for ages gets smaller as years go by. Someone 3 times as old now will only be 2 times as old at some point in the future, for example.
The difference in ages is a multiple of the younger age that is 1 less than their ratio. In other words, if A is 3 times as old as B, the difference (A-B) is exactly (3 -1)×B = 2B. In the above problem, this was (f-s)=38; f/s=2, so we know 38 = (2 -1)s = s.
The boxes that shoes come in are often used in other capacities once the shopper has bought the shoes. Sometimes the boxes are used to hold other items, so it is helpful to know the volume of the box.
Answer:
Step-by-step explanation:
used to hold other items, so it is helpful to know the volume of the box helpful to know the volume of the box.
The volume of the box is V = l × w × h, where l, w, and h are the length, width, and height of the cuboidal box.
What is a cuboid?A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.
Given a shoe box.
The shape of a shoe box is a cuboid.
Let the length, width, and height of the cuboid be l,w, and h, then the volume of the cuboid is:
V = l × w × h
Hence, the volume of the box is V = l × w × h, where l, w, and h are the length, width, and height of the cuboidal box.
Learn more about the cuboids:
https://brainly.com/question/29424737
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LOOK AT THE IMAGE PLEASE⚠️⚠️
Emily bought 51 yards of fabric to make curtains,
How many inches of fabric did Emily buy?
Emily bought
inches of fabric.
Answer:
Emily bought 1,836 inches of fabric.
Step-by-step explanation:
To figure this out we need the conversion factor of 1 yard = 36 inches.
So this will allow us to do simple multiplication which would look like this - 36 × 51.
When multiplied it ends up as 1,836 inches.
What is the answer to this and show the work please.
Answer: 6x+3y=12
x=-1/2y+2
Step-by-step explanation:
step 1: add -3y to both sides
6x+3y+-3y=12+-3y
6x=-3y+12
step 2: divide both sides by 6
6x/6=-3y+12/6
Answer:
y = 6 and x = -1.
Step-by-step explanation:
It's normally useful for me to rewrite the equation so they match. I'm using the substitution method.
First find out what "y" equals (I'm using the second equation):
Add 8 to both sides:
y - 8 = 2x
+8 +8
y = 2x + 8
Plug this into the previous equation.
6x + 3(2x + 8) = 12
Distribute first:
3(2x + 8)
3 * 2x = 6x
3 * 8 = 24
6x + 24
Rewrite the equation:
6x + 6x + 24 = 12
Find liked terms.
6x + 6x + 24 = 12
They are liked terms so combined them: 6x + 6x = 12x.
Rewrite the equation again:
12x + 24 = 12
Solve for "x".
Subtract 24 on both sides.
12x + 24 = 12
-24 -24
12x = -12
Divide 12 to get x by itself.
12x = -12
12
x = -1
Plug x into the second equation to find y.
y - 8 = 2(-1)
y - 8 = -2
Add 8 to both sides.
y - 8 = -2
+8 +8
y = 6
The answers are y = 6 and x = -1.
Please help I don’t need an explanation just an answer will be fine!!!
Answer:
slope: -1x
y-intercept: 3
Step-by-step explanation:
Answer:
y-int: 3 slope: -5/6
Step-by-step explanation:
Goes through point (0,3) and decreases 5 units downward and 6 units over (to the right)
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Use the note that Linear pairs have sum 180°
TD is a straight line[tex]\\ \rm\rightarrowtail m\overset{\frown}{CD}+122=180[/tex]
[tex]\\ \rm\rightarrowtail m\overset{\frown}{CD}=180-122=58°[/tex]
Now
DB arc be xA whole angle is 360° or 2π[tex]\\ \rm\rightarrowtail x+122+58+90=360[/tex]
[tex]\\ \rm\rightarrowtail x+270=360[/tex]
[tex]\\ \rm\rightarrowtail m\overset{\frown}{DB}=90°[/tex]
Answer:
90
Step-by-step explanation:
Adnan pours out 18 servings of lemonade. Each serving contains 120 milliliters of lemonade.
How many liters of lemonade in all did Adnan pour out?
0.216 L
2.16 L
21.6 L
216 L
Answer:
Its 2.16 l
Step-by-step explanation:
I USED MY BRAIN and its hard for me
I believe the answer is 2.16 L.
if a<b<0 show that a² > b²
PLEASE SHOW STEP-BY-STEP
Answer:
a2−b2=(a−b)(a+b).
Since a≥0 and b>0, a+b>0 and a−b<0 since a<b, thus: (a−b)(a+b)<0. So a2−b2<0. Thus a2<b2.
20 pointsIn the figure below, which answer choice correctly identifies the name of two line segments?
A . B .C. D
Answer: C
Step-by-step explanation:
We know that the only three possible endpoints are F, G, and H. The only option that only uses these endpoints is C.
What is the property used in 25+0=25
math teacher said its associative
Which choice best describes the slope of the line that passes through (0, 0) and (5, 0)? A. B. 0 C. D.
Hey there!
Use the slope formula:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\bold{\displaystyle\frac{0-0}{5-0} }[/tex]
[tex]\bold{\displaystyle\frac{0}{5} }[/tex]
[tex]\bold{0}[/tex]
There's an easier way to determine the slope.
As you can see, the y-coordinates of the points that the line passes through (0, 0) --> the origin and (5, 0).
This means the slope's 0.
Remember that
if the points that a line passes through have the same y-coordinates, then the slope of the line is 0.Hence, the slope's 0.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
#NeverGiveUp
[tex]\text{A teen whose hobby is helping others}[/tex]
Answer:
The answer is 0
Step-by-step explanation:
I'm pretty sure. The person above me helped :) please give him/her brainliest
2x + 3y = 26
3x + 5y = 40
2x + 3y = 26 -- equation 1
3x + 5y =40 -- equation 2
(Equation 1) * 3
6x + 9y = 78 -- equation 3
(Equation 2) * 2
6x + 10y = 80 -- equation 4
(Equation 4) - (Equation 3)
y = 2 -- equation 5
(Equation 5)'s value of y into (Equation 1)
2x + 3(2) = 26
2x = 20
x = 10
Thus x = 10 and y = 2
Hope that helps!
600 can be written as 2 × b × co
where a, b, c and d are all prime numbers.
Find the values of a, b, cand d.
Answer:
a = 3, b = 3, c = 5 and d = 2.
Step-by-step explanation:
The prime factorization of 600 is 2^3 * 3 * 5^2
Zoe filed for bankruptcy several years ago and now wants to take out a loan for $15,200. since zoe has a past bankruptcy, she will end up paying a higher interest rate. the loan term is four years, and her payments are $819.20 per month. with a better credit rating, her payments could have been $440.82 per month. how much more in interest will zoe end up paying for her loan because of her bankruptcy? a. $4,540.56 b. $15,135.20 c. $23,346.24 d. $18,162.24
Answer:
18,162.24 / D
Step-by-step explanation:
12 months per year times 4 years is 48 months
819.20 x 48 = 39,321.60 which is what she is paying
440.82 x 42 = 21,159.36 which is what she could be paying
so do 39321.60 - 21159.36 to get 18,162.24 or answer D.
Answer:
C
Step-by-step explanation:
Edunuity
PLEASE HELP !! I NEED IT! "Triangle A has side lengths 2, 3, and 4. Triangle B has side lengths 4, 5, and 6. Is Triangle A similar to Triangle B ?
Answer:
yes
Step-by-step explanation:
200 as a product of primes using index notation
Answer:
2x2x2x5x5
Step-by-step explanation:
Can anyone please help me with this problem!
Answer:
B) 46,145
Step-by-step explanation:
since there are 1760 yards in a mile, we just multiply 1760 by 26 then add 385 yards to that total.
please rate and mark as brainlest.
if ms.li has 8/11 shirts that are white. 16 are white. how many shirts does she have in all
Answer:
22 shirts
Step-by-step explanation:
To find out how many shirts Ms. Li has in total, we have to set up a proportion.
[tex]\frac{8}{11} =\frac{16}{x}[/tex].As you can see, we multiply eight by two to get to sixteen. Whatever we do on the numerators, we must do to the denominators. Thus, eleven multiplied by two is twenty-two t-shirts.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
How is 4209 written using words
Answer:
Four-thousand two-hundred and nine
hope this helps =3
Answer:
Four-thousand Two-hundred nine is the answer
Step-by-step explanation: you take all the numbers and answer the question from there
A line is drawn so it passes through the points (- 4, -12) and (0, - 6). What is the slope of the line? - 3 / 2 3 / 2 - 9 / 2 9 / 2
If both Jackrabbit and Red Fox
started the podcast download at 10:05 A.M.,
at what time did each service complete its
download? What was the difference between
these times?
Answer:
different between the two are that they are am and pm
Can some Please help me with this please please :(((( (The Image is In The Question)
When Hana goes to the mall, she always buys the same lunch and also buys some books. The table shows the number of books she buys, x, and the total amount of money she spends, y.
If this data were displayed in a scatter plot, select ALL statements that would be true about a good trend line summarizing the data.
SELECT GROUP OF ANSWER CHOICES
A. The y-intercept approximates the average cost of one book.
B. The y-intercept approximates the cost of Hana's lunch.
C. The slope approximates the cost of Hana's lunch.
D. The trend line goes through the origin.
E. The slope approximates the average cost of one book.
what is the quotient of 52.8 and 1.6?
Answer:
33 R 19.8
1.6 goes into 52.8, 33 times, so write 33 while including the tens place.
↓ Subtract 52.8 by 33. ↓
[tex]52.8-33=19.8[/tex]
Therefore, the answer is 33.
Which of these fractions is a recurring decimal?
A - 10/16
B - 39/130
C - 28/35
D - 15/17
E - 13/52
Help me please this is the last time I can retake the test!
Answer:l-11.2-4.7l
Step-by-step explanation:
what is 9 × 5 + 6× 7
Answer:
87
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Write expression
9 × 5 + 6 × 7
Step 2: Multiplication
45 + 6 × 7
Step 3: Multiplication
45 + 42
Step 4: Add
87
Answer:
87Step-by-step explanation:
9x5=45
6x7=42
45+42=87
So the correct answer is 87
Order Of Operations