In a certain state, a survey of 600 workers showed that 35% belonged to a union. Find the 95% confidence interval of true proportion of workers who belong to a union.
Answer:
The 95% confidence interval of true proportion of workers who belong to a union.
(0.29657 , 0.40343)
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 600
Given sample proportion p = 35% or 0.35
The 95% confidence interval of true proportion of workers who belong to a union.
[tex](p^{-} -Z_{0.05} \sqrt{\frac{pq}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{pq}{n} } )[/tex]
[tex](0.35 -1.96\sqrt{\frac{0.35 X0.65}{600} } , 0.35 + 1.96\sqrt{\frac{0.35 X 0.65}{600} } )[/tex]
( 0.35 - 1.96 (0.02726) , 0.35 + 1.96 (0.02726)
(0.35 - 0.05343 , 0.35 + 0.05343)
(0.29657 , 0.40343)
Final answer:-
The 95% confidence interval of true proportion of workers who belong to a union.
(0.29657 , 0.40343)
g Which statement is correct? Group of answer choices A sample size of 1 is never acceptable. Judgment sampling is preferred to systematic sampling. Cluster sampling is useful when strata characteristics are unknown. Sampling without replacement introduces bias in our estimates of parameters.
Answer:
A sample size of 1 is never acceptable
Explanation:
A sample size of 1 is simply not statistically significant enough as to reach close to accurate conclusions based on sample data. Statistical tests using just one data point may not be enough to test data variability. Axrule of thumb or best practice is to have at least 10% sample size from the population. It is advised to have at least a sample size of 100 sayvpopulation is 1000 to be able to reach more valid conclusions from sample data.
A rectangular water tank is 80 m long, 50 m wide and 60 m height. If the
depth of water in the tank is 45 m, find the volume of water required to
completely fill the tank?*
A)240,000cm3
B)60,000cm3
C)180,000cm3
D)120,000cm3
Answer: 2
Step-by-step explanation:
80 x 50 x 60 is volume of tank
240000
Water is already filled to 45 so volume up to that is
80x 50 x 45 = 180000
Subtract to find the difference needed to fill tank
240000 - 180000 = 60000
The volume of water to completely fill the tank is A) 240,000cm³.
What is volume?Volume is defined as the amount of three-dimensional space occupied by some close object.
We know the volume of a cuboid is (Height×Width×Length).
Given a rectangular water tank is 80m long, 50m wide and 60m in height and the depth of the water is 45m.
To obtain the volume of water we have to take 45m as the height or we can think of the height of the tank is 60m but water can only be filled up to 45m.
∴ The volume of the water is (80×50×45) m³.
= 180,000 m³.
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As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.
Answer:
about 30 km. If it wasn't estimated, it would be 30.8994048 km.
Answer:
12
Step-by-step explanation:
please help me please
You have to read 36 pages for your history class tonight. If you read 1 page every two minutes, how long will it take you to read the assigned pages?
Answer:
72 minutes or 1 hour and 12 minutes
Step-by-step explanation:
36(2)=72
Solve the equation by graphing. - x2 = 8x + 20
Answer: No real solutions.
Step-by-step explanation: −x2=8x+20
Step 1: Subtract8x+20 from both sides.
−x2−(8x+20)=8x+20−(8x+20)
−x2−8x−20=0
For this equation: a=-1, b=-8, c=-20
−1x2+−8x+−20=0
Step 2: Use quadratic formula with a=-1, b=-8, c=-20
convert 5/4 into a decimal
Answer:
Step-by-step explanation:
The answer is 1.25
You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you
construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many
Answer:
B. 1 triangle only!
Step-by-step explanation:
Since the angle and the sides are fixed!
0.9b + 12 = 0.8b - 9
Answer:
0.9b+12=0.8b-9
0.9b+0.8b= -9-9
1.7b=-21
=-12.352
Practice using graphs of equivalent ratios. On a coordinate plane, point (2, 3) is plotted.A 2-column table with 3 rows. Column 1 is labeled x with entries 2, blank, blank. Column 2 is labeled y with entries 3, blank, blank. The table shows one point from the given graph. How could you find more ordered pairs to create a graph and table of equivalent fractions? Check all that apply. Include the point (0, 0), which is on every graph of equivalent ratios. Multiply both 2 and 3 by 4. Multiply 2 by 2 and 3 by 3. Start at the point on the grid. Move right 2 and up 3 and plot the point. Multiply 2 by 3 and 3 by 2.
Answer:
2
Step-by-step explanation:
if you multiply 2 by 3=6
2×2=43×3=9Answer:
B: Using the table,multiply 2 and 1 both by 3
Step-by-step explanation:
Just took the quiz on Edge 2021
Can someone help me
With this ? Thanks so much
Answer:
The 2nd one should be right
Step-by-step explanation:
prove me wrong
please help if u can! :))))
Answer: 0.8
Step-by-step explanation:
The formula to find area of a parallelogram is A = bh. This means that area = base x height. You can manipulate this formula to what height equals instead of the area. To do that, you can divide b on both sides. This would make the equation h = A/b.
Now that you know how to find what height equals, first find the base of the parallelogram. To find b, multiply 6 x 5. 6 x 5 = 30. This means that your base is 30.
Take the information given to you in the problem about the area. The area is given to you. We know that the area is 24 squared units. Remember what the equation to find height is. It's h = A/b. Substitute the variables for your numbers. h = 24/30.
24/30 = 0.8.
This means that your height is 0.8. This would be 8/10 in fraction form, but you can simplify it further to 4/5.
Hope it helps. Good luck!
How do you further solve this?
Answer:
x = ±√89-30 cos(55) (everything is under the radical)
and then plug the radical into a calculator and you get two answers:
x1= -9.39873
x2=9.39873
Step-by-step explanation:
i hope this helped :)
If x=3y substitute the value of x into expression simplify 3x+6
Answer:
(3y)3+6
Step-by-step explanation:
Which is the product of 11/12 and 4
Answer:
3.66666666667
Step-by-step explanatio
Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each 3 student, one at a time, for 7 of an hour, how many students does she tutor?
6
8
12
24
Answer:
24 hope this helps
Step-by-step explanation:
Cost of shoes $29.95
Markup: 20%
What is the new cost?
New cost = original price x (1 + markup)
New cost = 29.95 x ( 1 + 0.20)
New cost = $35.94
PLEASE HELP ASAP please someone help me so far my day has sucked and I need help. this is easy math just help meeeee.
5/6 +4/5
please help me answer correctly my grade depends on it
Answer:
1 19/30
Step-by-step explanation:
Answer:
NEVERMIND (I thought 45/30, but i dont know)
Step-by-step explanation:
Wich quadrilaterals always have consecutive angles that are supplementary
Answer:
PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.
Step-by-step explanation:
The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The quadrilaterals which have supplementary consecutive angles are called Parallelogram.
A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.
The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.
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Which of the following graphs represent a function? Please help me I will make you brainiest
there are 36 playing tag at recess. this is 6 times as many playing hopscotch. which model shows this comparison?
i got the top one to the left (checking my answer)
Answer:
The top left one is correct.
Step-by-step explanation:
We can rewrite this as an algebraic expression simply so it's easier to read.
Let's say hopscotch is [tex]h[/tex]. Tag is 6 times [tex]h[/tex], or [tex]6h[/tex].
That means for every 1 unit of hopscotch, there are 6 units of tag.
The top left one is correct.
Answer
-10 – (-2) =
Answer:
8
Step-by-step explanation:
- (-2) is the same as + 2
-10 + 2 = -8
Answer:
-8
Step-by-step explanation:
Since there are two minus sign with the two, make it into plus. There fore the equation is -10+2= -8!
A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?
Answer:
Step-by-step explanation:
Perimeter=a+b+c=6+8+10=24 m
Area=1/2*a*b=1/2*6*8=24 m^2
5,1,0,4,0 what is the range?
Answer:
range: 4
Step-by-Step Explanation:
Pls help need answers fast
Answer:
1. 11-y=-9
2. 41+w=26
3. r÷6=-4
4. 18(p)=54 or 18×p=54
5. Yes V= -52
6. Yes Z= -3
7. No would equal 43
8. No T would equal positive 6.
9. B
10. C
11. D
12. A
13 less than the product of a number and 6 is 5
Answer: Excuse me, what do you mean "and 6 is 5?"
Step-by-step explanation:
the product of 2 and the difference of a number and 9
Answer: 2(x-9)
Step-by-step explanation:
Totally blanking on how medians work
===============================================
The three medians of this triangle are:
PFREQDThese segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
5c + d = c+ 4d find the ratio c:d
Answer:3c + 18d brainless pls
Step-by-step explanation:First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:
3
(
5
c
+
4
d
)
+
6
(
d
−
2
c
)
⇒
(
3
⋅
5
c
)
+
(
3
⋅
4
d
)
+
(
6
⋅
d
)
−
(
6
⋅
2
c
)
⇒
15
c
+
12
d
+
6
d
−
12
c
Next, group like terms:
15
c
−
12
c
+
12
d
+
6
d
Now, combine like terms:
(
15
−
12
)
c
+
(
12
+
6
)
d
3
c
+
18
d,
Given:
[tex]\to 5c + d = c+ 4d[/tex]
To find:
c:d=?
Solution:
\to 5c + d = c+ 4d
simulating the identical terms:
[tex]\to 5c -c = 4d-d\\\\\to 4c = 3d\\\\\to \frac{c}{d} = \frac{3}{4}\\\\\therefore\\\to c:d= 3:4[/tex]
so, the ratio is 3:4
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