Answer:
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Only 2 of the 11 companies were planning to increase their workforce
This means that [tex]n = 11, \pi = \frac{2}{11} = 0.182[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331[/tex]
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Describe the graph of y=-x and compare it with the graph of y = x
Wildlife sanctuary has 38 species of birds.
They have 15 of each kind. A national
zoo in the same city has 42 species of
birds with 12 of each kind. Do they have
the same number of birds?
Firstly, solve 38C15.
Then solve 42C12.
Compare your answers.
The goal here is to see if 38C15 = 42C12.
Here is the formula:
nCr = n!/(r!(n - r)!
Go for it.
Find the approximate length of the bolded arc.
Answer:
Step-by-step explanation:
pls help i fr HAVE TO PASS THIS SIX WEEKS
Answer:
pretty sure its 68 or 66 dont put 34 tho lol
Please help me ASAP
Please help
Answer:
5 X 4
Step-by-step explanation:
If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.
Hope this helped!!
Someone please help me, i will give brainliest
Enter the decimal equivalent of 11/8
Answer:
1.37
Step-by-step explanation:
I just used my calculator lol
levi was designing a kite. he needs to determine the measure of
The measure of angle A is 86.
What is a kite?A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.
We have,
From the figure,
We see that,
6x + 4 + ∠A = 180
Now,
∠A = 4x + 26
So,
6x + 4 + 4x + 26 = 180
10x + 30 = 180
10x = 180 - 30
10x = 150
x = 15
Now,
∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86
Thus,
The measure of angle A is 86.
Learn more about kite here:
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The complete question:
Levi was designing a kite. he needs to determine the measure of angle A.
2x +1=x+3 plzzz give the answer
Answer:
x=2
Step-by-step explanation:
Because you Subtract 1 from both sides of the equation
and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2
Find the value of x
Answer:
x=13
Step-by-step explanation:
Since both angles are vertical angles and are therefore congruent, the expression is equal to 114.
7x+23=114
Subtract 23 from both sides.
7x=91
Divide both sides by 7.
x=13
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4 of the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
Answer:
7/20
Step-by-step explanation:
You have to add 1/4 and 2/5 which gets you 13/20. And since the glass would be full, 20/20 is full, so then you have to subtract 20/20 from 13/20 which gives you 7/20.
x^2+ 3 has a value of 28. What term in the sequence has a value of 28?
Answer:
5th term
Step-by-step explanation:
x^2 +3 = 28
Subtract 3 from each side
x^2+3-3 =28-3
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = 5
(x could be -5, but there are not usually negative terms in a sequence)
Answer:
The value of X1 is -5, X2 is +5.
Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters
Answer:
i
Step-by-step explanation:
dont know
4.B.83
How much must be deposited today into the following account in order to have get 35,000 in 5 Years
An account with monthly compounding and an APR of 4%
should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed)
Answer:
$ 28,665.11 must be deposited today into the account.
Step-by-step explanation:
Given that there is an account with monthly compounding and an APR of 4%, to determine how much must be deposited today into the following account in order to have $ 35,000 in 5 years, the following calculation must be performed:
X x (1 + 4/12) ^ 5x12 = 35,000
X x (1 + 0.333) ^ 60 = 35,000
X x (1,333) ^ 60 = 35,000
X x 1.220999 = 35,000
X = 35,000 / 1.22099
X = 28,665.11
Thus, $ 28,665.11 must be deposited today into the account.
Please help me !!!!!!!!!!!!!!!!!!!
Answer:
5) arccos A = 28°
6) arcsin A = 53°
Step-by-step explanation:
5) cos A = 30/34
6) sin A = 32/40
5)
For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).
In this case,
cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17
6)
For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.
In this case,
sin(A) = opposite / hypotenuse = 32 / 40 = 4/5
A way to remember sine, cosine, and tangent is SOHCAHTOA, where
SOH is Sine = Opposite / Hypotenuse
CAH is Cosine = Adjacent / Hypotenuse
TOA is Tangent = Opposite / Adjacent
Which expression is equivalent to -14 - 32d
A. -7(2-5d)
B. 7(2-5d)
C. 7(-2+5d)
D. -7(2+5d)
What is the exact value of the trigonometric function?
(4 pts)
cos(600)
Answer:
45 man all day long
Step-by-step explanation:
i say 45 because it just is.
Given f(x)=x^2−5x and g(x)=2x+1, find (f+g)(−3).
Answer:
19
Use the given functions to set up and simplify
Emily surveyed 364 people with 3 out of 7 answered yes
how does 3.1416 come
Answer:
It is the value of pie(22/7)
A dart board measures 6.5 inches from the very edge to the center of the bullseye
I need help
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2
Which is NOT the formula for an area of a rectangle?
Group of answer choices
A = 1/2 X h X (Base 1 + Base 2)
A = L X W
A = bh
A = Base X Height
Johnny buys a desk on sale for $300.00. If the regular price
is $450.00, what is the percent of discount?
Answer: 33.33%
This MAY be wrong, but when I calculated it, the total discount came out to 149.985, which I think can be rounded up to 150
What’s the least common factor of two and six
Answer:
6
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 6
Explanation: least common multiple
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
please help im stuck on this
Is the solution greater than, less than, or equal to 29?
4(5 + 6) - 15
Answer:
Step-by-step explanation:
4(5 +6) - 15
4(11) - 15
= 44 - 15
= 25
The solution is equal to 29
Answer:
[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]
It's Equal to 29
If AB has endpoints A(-15,9) and B(0,3) what is the slope of AB
Answer:
-2/5
Step-by-step explanation:
slope= (y2-y1)/(x2-x1)
= (3-9)/(0+15)
= -6/15
= -2/5
READ CAREFULLY! - 50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 779 students in the school, you would expect ______ students in the entire school to prefer Coke. Enter an answer rounded to the nearest whole number.
Answer:12/50 * x/588
Step-by-step explanation:= 141.12
588 - 141.12 = 446.88
I would expect 447 students to prefer Coke.
Hope this helps
Given y = alog(x + c) + d. What would happen to the graph if you changed the value of d? Describe both positive and negative
values.
A)
B)
Changing the value of d would cause a vertical stretch or shrink. A negative
value would also cause a reflection over the x-axis.
Changing the value of d would cause a horizontal stretch or shrink. A
negative value would also cause a reflection over the y-axis.
Changing the value of d would move the graph up and down (vertically). A
positive d value would move the graph up and a negative d value would
move the graph down.
Changing the value of d would move the graph left and right (horizontally).
A positive d value would move the graph right, and a negative d value
would move the graph left.
C)
D)
Answer: A
Step-by-step explanation:
I just took the USATESTPREP quiz and that is the answer.
Option (C) will define the changes in the graph of the function with the values of 'd'.
Given function in the question → y = alog(x + c) + d
Rules for the translation of a function,
If a function y = f(x) is shifted 'h' units upwards on y-axis, rule for the translation will be → y = f(x) + hIf the function y = f(x) is shifted 'h' units downwards, rule for the translation → y = f(x) - hHence, in the given function y = alog(x + c) + d, positive value of 'd' will define the shifting of the parent function upwards.
And for the negative value of 'd' will define the shift of the function downwards.
Option (C) will be the correct option.
Learn more,
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If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?
Answer:
Radius= 5.4
Step-by-step explanation:
Formula for Sphere- V= 4/3(pi)• r^3
r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)
Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jeans to take
Answer:12,376
Step-by-step explanation:
Given
Connie has 17 Pairs of jeans
She has to choose 6 pairs out of 17
We know, no of ways to pick r items out of n items is [tex]^nC_r[/tex]
[tex]\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}[/tex]