Answer:
a) The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.
b) The margin of error is of 0.03.
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].
Point estimate:
The point estimate is [tex]\pi[/tex].
Margin of error:
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
(a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future.
579 out of 1007 adults. So
[tex]\pi = \frac{579}{1007} = 0.575[/tex]
Rounding to two decimal places, 0.58
The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.
(b) At 90% confidence, what is the margin of error
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.58*0.42}{1007}}[/tex]
[tex]M = 0.03[/tex]
The margin of error is of 0.03.
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
Answer:
10, 15, 15, 20, 20, 20, 30, 30, 45, 45
Step-by-step explanation:
How many cuboids of size 4m x 3cm X 2cm. Can be made from a cuboid of size 12cm x 9cm x 6 cm ?
Answer:
Lets find volume of smaller cubiod first.
Volume = l x b x h = 24 cm³
Again,
Lets find volume of bigger cuboid.
Volume = l x b x h = 648cm³
Now,
The no. of cuboids that can be made from the bigger cuboid is
= Volume of bigger cuboid / volume of smaller cuboid
= 648/ 24
= 27 cuboids
Identify the vertex of the graph. Tell whether it is a minimum or a maximum.
The vertex needs to be in ordered pair.
Answer:
Vertex = (-1, 2)
Maximum
Step-by-step explanation:
The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.
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For estimation purposes, the shape formed by the sectors is considered to be a parallelogram. Which statement is true?
A.The height is approximately r units, and the base length is approximately mr units.
B.The height is approximately r units, and the base length is approximately 2 units.
C.The height is approximately r2 units, and the base length is approximately it units.
D.The height is approximately 2r units, and the base length is approximately it units.
Answer:
Step-by-step explanation: B
Branliest to correct answer explain how you solved it please
Answer:
0.03
Step-by-step explanation:
.25% for the tails times .5 for the odd number on the dice times 0.25 for the clubs because it is a 13/52 chance you will pull a clubs and put that all together and you get 0.03125 simplified and you get 0.03
Answer:
0.03
Step-by-step explanation:
The probability of landing on 1 tail is 1/2, since it is 1 out of 2 options, a tail or a head. If you want the probability of two tails, it would be 1/2 * 1/2 = 1/4.
Next we can take the probability of rolling an odd number on a fair die. A fair die has 3 even numbers: 2,4,6; and 3 odd numbers: 1,3,5. Since 3/6 or 1/2 of the numbers are odd, there is a 50% chance that it would roll an odd number.
Finally, drawing a club out of standard deck of cards is 1/4, since there are 4 choices: hearts, spades, clubs, or diamonds. You now get the idea, and you can figure out that the probability would be 1/4.
Our last step is to multiply all the answers we get, since to get all of them at once would lower your chances. 1/4 * 1/2 * 1/4 = 1/32 = 0.03125; rounded to 0.03.
Is art and science different or the same? Explain.
Answer:
There are two paramount differences between art and science. The first is that art is subjective while science is objective. The second is that art expresses knowledge, most often in the form of subjective representation, while science is the system of acquiring knowledge.
Answer:
There are two differences
Step-by-step explanation:
Art expresses knowledge, most often in the form of subjective representation, while science is the system of acquiring knowledge.
How many groups of 1/4 are in 3. Draw a tale diagram
Answer:
12.
Step-by-step explanation:
C С 154 -Y Х 2 3 5 w 4 6 7 Z D
Answer:
m<1 = 26°
m<2 = 154°
m<3 = 26°
m<4 = 26°
m<5 = 154°
m<6 = 154°
m<7 = 26°
Step-by-step explanation:
What is required was not stated, however, let's find the value of every angle labelled in this diagram.
✔️m<1 = 180° - 154° (linear pair theorem)
m<1 = 26°
✔️m<2 = 154° (vertical angles theorem)
m<2 = 154°
✔️m<3 = m<1 (vertical angles theorem)
m<3 = 26° (substitution)
✔️m<4 = m<3 (alternate interior angles theorem)
m<4 = 26° (substitution)
✔️m<5 = m<2 (alternate interior angles theorem)
m<5 = 154° (substitution)
✔️m<6 = m<5 (vertical angles theorem)
m<6 = 154° (substitution)
✔️m<7 = m<4 (vertical angles theorem)
m<7 = 26° (substitution)
Help me and if the answer is correct and neat I will give you brainliest. Its about line plots.
Answer:
Step-by-step explanation:
This is really urgent!!!
Step-by-step explanation:
=4(x-1)-3(2x-5)
=4x-4-6x+16
=4x-6x-4+16
= -2x+12
hope it helps.
Answer:
2x + 11
1.) Distribute
4(x-1)-3(2x-5)
4x -4 -3 (2x-5)
2.) Connect like terms
4x -4 -6x + 15
-2x -4 +15
3.) Calculate
-2x + 11
Which number produces a rational number when added to 1/5
Answer: 2/3
Step-by-step explanation:
Answer: -2/3
Step-by-step explanation:
Hope This Help?
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Identify the equation as either Linear, Quadratic, or Exponential: *
f (x) = 2x
A. Linear
B. Quadratic
C. Exponential
Answer:
It's A.) linear
Step-by-step explanation:
The power of x is equal to one, making it linear [ f(x) = 2x^1 ]
hi
The fair spinner shown in the diagram above is spun.
Work out the probability of getting a factor of 12.
Give your answer in its simplest form.
Answer:
hi.a..a.q.q.q.q..w.w.q.
Which is more 7/10 or $0.75?
Answer:
I think $0.75
Step-by-step explanation:
$0.75 because 7/10 is 0.7
simplify by distributive property 8-3(7m-3p)
help me
make X the subject of the formula
3(c - bx) = 18
make X the subject
Answer:
X is equal to c-9 over b as required
Answer:
[tex]c =\frac{18 + 3 b x}{3}[/tex]
Step-by-step explanation:
3 ( c - b x ) = 18
Solve the brackets.
3c - 3 b x = 18
Take -3 b x to the right side.
3c = 18 + 3 b x
Divide both sides by 3.
[tex]c =\frac{18 + 3 b x}{3}[/tex]
You have the opportunity to purchase a MLB Franchise. The probability distribution of expected returns for the franchise is as follows:
Probability Rate of Return
0.1 –20%
0.2 0%
0.4 7%
0.2 15%
0.1 25%
The expected rate of return for your investment in the MLB Franchise is____Expected rate of return = ∑Piki. The standard deviation is_____.
Answer:
The expected rate of return is 6.3%.
The standard deviation is of 11.29%.
Step-by-step explanation:
Expected rate of return
Multiply each rate by its probability. So
[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]
The expected rate of return is 6.3%.
Standard deviation:
Square root of the difference squared between each value and the mean, multiplied by the probability. So
[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]
The standard deviation is of 11.29%.
Please solve this for me
Given:
A figure of a right angle triangle.
To find:
The value of x°.
Solution:
The given triangle is a right angle triangle. So, the measure of one angle is 90 degrees.
The measure of other two angles are 3x° and 7x°.
According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees.
Using the angle sum property of the triangle, we get
[tex]90^\circ+3x^\circ+7x^\circ=180^\circ[/tex]
[tex]10x^\circ=180^\circ-90^\circ[/tex]
[tex]10x^\circ=90^\circ[/tex]
Divide both sides by 10.
[tex]x^\circ=\dfrac{90^\circ}{9}[/tex]
[tex]x^\circ=10^\circ[/tex]
Therefore, the value of x° is equal to 10°.
Which expressions are equivalent to 8.9 x + 6.2 + 8.7? Check all that apply.
A.9 x + 6 + 9
B. 8.9 + 6.2 + 8.7 x
C. 8.9 x + 8.7 + 6.2
D. 8.7 + 8.9 x + 6.2
E. 6.2 + 8.7 + 8.9
F.6.2 + 8.7 + 8.9 x
G.8.9 + 6.2 x + 8.7
Answer:
option c.
8.9x+8.7+6.2
option f.
6.2+8.7+8.9x
Simplify: 17b + 82c + 90 + e - 18 - 10c - b
Use the slope formula to find the slope of the line through the points (2,1) and (8,7)
Answer:
m = 1
Step-by-step explanation:
(2,1) and (8,7)
m = (y2-y1)/(x2-x1)
m=(7-1)/(8-2)
m=6/6
m = 1
what is the volume of the rectangular prism ?
Answer:V=whl
Step-by-step explanation:
all you have to do is multiply width times length times height
1 1/2 × 1 1/2 × 1 1/2= 3/2 × 3/2 × 3/2 = 27/ 8
simplify to
3 3/8
hope this was helpful:)
I'm extra lonely gotta be 13-16(age) don't be sus thats it
Answer:
ok
Step-by-step explanation:
what do you want me to do now
Please help❗️❗️ Picture is above
Answer:
Step-by-step explanation:
The angles are equal to each other (vertical angles)
Hence:
9y + 7 = 2y + 98
9y - 2y = 98 - 7 (Minus both sides by 2y and 7)
7y = 91 (Simplify)
y = 13 (Divide both sides by 7)
Find the value of 5⁰ X 7⁰ X 3⁰
plz help asap
Answer:
5⁰ × 7⁰ × 3⁰ = 1
Step-by-step explanation:
5⁰ × 7⁰ × 3⁰ = ?
5⁰ = 1
7⁰ = 1
3⁰ = 1
1 × 1 × 1 = 1
Algebra 2
Help me pls
Answer:
log (150)=2.176091259
Answer:
log104=2.107
log150=2.176
log1025=3.011
log10570=4.024
log7=0.845
Step-by-step explanation:
To solve these questions, you can just plug them into your calculator:
log104=2.107033339≈2.107
log150=2.176091259≈2.176
log1025=3.010723865≈3.011
log10570=4.024074987≈4.024
log7=0.84509804≈0.845
Use the unit price of gasoline at both gas stations to determine which gas station charges more for gasoline (gallons). Be sure to include the unit prices in your answer. Show or explain your work.
Answer: Gas station P
Step-by-step explanation:
When you plot gas station M on the graph all the values are under the line meaning it gas at station M costs less than station G.
Gas station P charges more than gas station M.
What is unit rate?A unit rate means a rate for one of something.
Given is a table and a graph,
When we compare each, we get,
Gas station P is charging $20 for 5 gallons, and gas station M charges $19 for same.
Hence, gas station P charges more than gas station M.
For more references on unit rate, click;
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Zynga and Walmart which balance sheet items does the two have in common
y
45°
X 100°
y = [ ? 1°
Step-by-step explanation:
x+100°=180°{being straight angle}
x=180-100
x=80°
again,
45°+x+y=180°{sum of angle of triangle}
45+80+y=180
y=180-125°
y=55°
hope it helps.
A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.
What is the volume of the desk drawer?
pls help Ill give you brainiest and pic for your profile
Answer:
1470
Step-by-step explanation: