Determine the point estimate (LaTeX: \hat{p}p ^) of the population proportion and the margin of error (E) for the given confidence interval. Lower bound: 0.223, upper bound: 0.285 (Round to the nearest thousandth)
Answers
Answer:
The answer is below
Step-by-step explanation:
The sample proportion \(\hat{p}\) is used in statistic to determine the point estimate for estimation of the sample proportion.
The point estimate (\(\hat{p}\)) of the population proportion is given by:
\(\hat{p} = \frac{upper \ bound+lower\ bound}{2}\\ \hat{p} =\frac{0.285+0.223}{2}=0.254\)
The margin of error (E) is the error or deviation expected from a population parameter.
The margin of error (E) of the population proportion is given by:
\(E = \frac{upper \ bound-lower\ bound}{2}\\ E =\frac{0.285-0.223}{2}=0.031\)
Related Questions
Click on the graph to plot a point. Click a point to delete it.
Answers
The red dot on the graph is (2, -8)
EFG IS an isosceles triangle find g f e
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The triangle's angles are as follows:
E is a 45-degree angle.
F is a 90-degree angle.
G is a 45-degree angle.
say that the sum of the angles is 180 degrees.
Angle E + Angle F + Angle G = 180 degrees
angles E and G in an isosceles triangle coincide, we can say:
180 degrees = 2*Angle E + Angle F.
F is a right angle
2*Angle E + 90 degrees = 180 degrees
2*Angle E = 90 degrees
Angle E = 45 degrees
Angle G is also 45 degrees because Angles E and G are congruent.
What is the isosceles triangle?
Any triangle with any two sides that have the same length is known as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. Triangles are three-sided polygons in geometry that can be divided into three groups based on their sides, such as:
Triangle of Scalene (All three sides are unequal)
Triangle in isosceles (Only two sides are equal)
triangle with equal sides (All three sides are equal)
From the question:
Due to the fact that EFG is an isosceles triangle, we can infer that the angles E and G on either side of the two sides EF and FG are also congruent. In order to find the angles in the triangle, we can use the fact that the total of the angles in a triangle equals 180 degrees:
Angle E plus Angles F and G add up to 180 degrees.
In an isosceles triangle, angles E and G coincide, hence we can write:
180 degrees is equal to 2*Angle E + Angle F.
Since one of the triangle's sides, EF, is perpendicular to the base FG, we also know that angle F is a right angle. Hence, we can write:
Angle E plus 90 degrees equals 180 degrees.
By calculating Angle E, we obtain:
Angle E is 90 degrees at 2*.
E is a 45-degree angle.
Angle G must also be 45 degrees because angles E and G are equivalent.
Angle E = 45 degrees
Angle F = 90 degrees
Angle G = 45 degrees
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A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length AC.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
A
41
B
85
Answers
Answer:
76 units
Step-by-step explanation:
You want the length of AC in the given triangular pyramid.
Pythagorean theoremThe Pythagorean theorem can be used to find the lengths of AD and CD.
AD² + 40² = 41²
AD² = 41² -40² = 81 . . . . . = 9²
and
CD² +40² = 85²
CD² = 85² -40² = 5625 . . . . . = 75²
It can also be used to find AC:
AD² + CD² = AC²
81 + 5625 = AC²
AC = √5706 = 3√634 ≈ 76
The length of side AC is about 76 units.
__
Additional comment
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.
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No Point Stealers!!
(04.01)
If y = 5x − 4, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? (4 points)
Group of answer choices
{(0, −4), (2, 6), (4, 20)}
{(0, −4), (2, 6), (4, 16)}
{(0, 4), (2, 6), (4, 16)}
{(0, 4), (2, −6), (4, 20)}
Answers
Three workers arrive at work 15 minutes late, at a cost of $11 hour.
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Answer:
They earned 8.25
Step-by-step explanation:
If they arrived late 15 minutes, then they lose a 1/4 of the pay. So they'd be making $8.25, and not the full $11 for that first hour.
find an equation that passes through (1 ,2) and is parallel y=3x-9
Answers
Answer:
A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the point (1, 2)
Substituting the values we get:
y - 2 = 3(x - 1)
Simplifying the equation we get:
y - 2 = 3x - 3
y = 3x - 1
Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .
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The wholesale price for a desk is $199. A certain furniture store marks up the wholesale price by 24%. Find the price of the desk in the furniture store.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
246.76$
Step-by-step explanation:
199 x .24 =
47.76
199 + 47.76 =
246.76
what is six times four less than three times x.
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4-3=1
6x1=6
answer is 6
I-intercept: C y-intercept y 7+ 5+ 3+ 2+ ... Leveled up to Familiar!
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The x intercept is (-7.5,0).
The y intercept is (0,5.5).
Which list shows these numbers in ascending order?
-V6, 2, -23, 2.5
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Correct to ascending order
!!!ANSWER IMEDDIATELY!!! What is the area of this trapezoid?
Answers
Answer:
A
Step-by-step explanation:
I worked it out :)
Candace is flipping a coin a certain number of times. The theoretical probability of her flipping tails on all flips is 1/32 . How many times is she flipping the coin?
Answers
Answer:
Cadence is flipping her coin 32 times
Step-by-step explanation:
So the fraction is 1/32 which means 32 is the number of times the coin was flipped.
During a search and rescue process after an earthquake, a team rescued 15 people in 5 hours. At this rate, what is the total number of people that the team can rescue in another 2 hours?
Answers
Based on the rate that the team is rescuing people per hour, the total number of people that the team can rescue in another two hours is 6 people.
How to find the number of people?First, find the rate at which people are being rescued by the search and rescue team per hour.
The rate of people rescued is:
= Number of people rescued / Number of hours
= 15 / 5
= 3 people per hour
The number of people rescued in 2 hours is:
= Number of hours x People rescued per hour
= 2 x 3
= 6 people
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T/F In order for two tuples to be equal, they must have the same length and corresponding items must have the same value.
Answers
In order for two tuples to be equal, they must have the same length and corresponding items must have the same value.
The answer to this is True.
Tuples are used to store multiple items in a single variable.
Tuple is one of 4 built-in data types in Python used to store collections of data, the other 3 are List, Set, and Dictionary, all with different qualities and usage.
A tuple is a collection which is ordered and unchangeable.
Tuples are written with round brackets.
When are 2 tuples equal?
Two tuples are equal, if they have got the same number of elements and if their elements are equal. Two tuple elements are equal, if they are both (integer or floating point) numbers or both are strings and contain the same value.
Therefore, the answer to this question is True.
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What will happen to the graph of the line y = -5/4 x + 3 if you change -5/4 to 5/4 ?
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The line's slope on the graph will switch from being negative to positive.
What is a line's Slope Intercept Form?The graph of the equation y = mx + c is a line with m as the slope and m and c as the y-intercept. The values of m and c are actual integers in the slope-intercept illustration of the linear equation.
The slope of a line, measured in m, tells us how steep it is. A line's gradient is also referred to as its slope sometimes. The y-coordinate of the point where the line's graph meets the y-axis is known as the y-intercept of a line, ab.
Analyzing the condition:The slope-intercept form of the equation for the line, y = -5/4 x + 3, is written as y = mx + b. Where,
The line has a slope of m, a y-intercept of 3, a slope of -5/4, and a y-intercept of b.
As a result, the slope has changed from negative to positive if -5/4 is changed to 5/4.
As a result, the graph of the line's slope will switch from being negative to positive.
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Identify the values of the variables. Give your answers in simplest radical form. HELP!
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The value of the variables in the right triangle are as follows;
\(v = \frac{3\sqrt{2} }{2}\)\(w=\frac{3\sqrt{6} }{2}\)How to find the side of a right tringle?A right triangle is a triangle that has one of its angles as 90 degrees.
The side of a right triangle can be found by using trigonometric ratios.
Therefore, let's find the variable length of the right triangle as follows;
sin 30 = opposite / hypotenuse
sin 30 = v / 3√2
1 / 2 = v / 3√2
cross multiply
3√2 = 2v
divide both sides by 2
v = 3√2 / 2
Let's find the variable w.
cos 30 = adjacent / hypotenuse
cos 30 = w / 3√2
√3 / 2 = w / 3√2
cross multiply
√3 × 3√2 = 2w
3√6 = 2w
divide both sides by 2
w = 3√6 / 2
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the weight of an apple is 150g, rounded to the nearest 5g. What is the lower bound of the weight of the apple?
What is the upper bound of the weight of the apple?
Answers
Answer:
1 answer
Answer:lower bound = 147.5gupper bound = 152.5gStep-by-step explanation:if you were rounding a single digit number to the nearest 5, ...
Step-by-step explanation:
pleas
HELP IMMEDIATELY
Answers
Answer:
144ft^3
Step-by-step explanation:
To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism
Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)
\(V=\frac{1}{2} (36)(8)\)
\(V=(18)(8)\)
\(V=144\)
Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)
Which best describes the correlation of the variables shown the graph below?
A. Strong Positive
B. Weak Positive
C. Strong Negative
D. Weak Negative
Answers
Answer:
B strong Negative
Step-by-step explanation:
2x - 3
M+
X + 4
X =
?
Answers
Answer:
x = 7
Step-by-step explanation:
Both equations have the same value, you have to solve for x
Let's make an equation:
2x-3 = x+4
Now you isolate one of the sides,, I will isolate the x on the first side so I will get rid of both x and 4
2x - 3 = x + 4
-x -x
=
x -3 = 4
Then you have to isolate x, so you add 3 on both sides
x - 3 = 4
+ 3 +3
x=7
So, the answer is x=7
Hope this helps!!
-Ketifa
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answers
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
Answers
| x | 2.5x - 10.5 | 64(0.5x) |
|-------|-----------------|--------------|
| 0 | -10.5 | 0 |
| 2 | 2 | 64 |
| 4 | 7 | 128 |
| 6 | 11 | 192 |
By substituting different values of x into the equation, we can see that there is no single value of x that satisfies the equation for both sides. Therefore, there is no solution to the given equation.
Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answers
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
Find number k, so that f is continuous at every point.
3x+9, if x<-6
kx+6, if x>_-6
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ANSWER
K= 5/2
Step-by-step explanation:
WILL you mark me as a brainlest
Angle & segment relationship
Area & Arc Length
Answers
Answer:
x = 81.5°
Step-by-step explanation:
the secant- tangent angle x is half the difference of the measures of the intercepted arcs.
the sum of the arcs in a circle = 360°, then
unknown intercepted arc = 360° - (215 + 93)° = 360° - 308° = 52°
then
x = \(\frac{1}{2}\) (215 - 52)° = \(\frac{1}{2}\) × 163° = 81.5°
WHICH ONE? NEED ASAP THANK YOU
Answers
Answer:
see below
Step-by-step explanation:
the third one
8m^2-5m^+9m^2-9-4-2m
You add 8 and 9, as they have the same exponents, and as there is only one answer witha positive 17, it is ur answer
(x^3-2x^2-75) divided by (x-5)
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Hello!
\(\large\boxed{x^{2} + 3x + 15}\)
To solve, we can use polynomial long division:
Set up the process using (x³ - 2x² - 75) as the dividend. Put in a place holder of (0x) to ensure that a proper answer is reached.
Use (x - 5) as the divisor.
Steps for dividing:
1. Find how many times that the first term in the divisor will go into the first term of the dividend. In the first step, (x - 5) goes into (x³ - 2x²) x² times. Put this at the top for our quotient .
2. Multiply both of the terms in the divisor by x². Put those expressions underneath the dividend and subtract.
3. Bring down the next number in the dividend and find how many times (x - 5) goes into 3x² + 0x. We get 3x times, so repeat the same steps above.
4. Continue until you finish with the last two numbers. If the remainder is 0, your solution is simply the quotient at the top. (In this instance).
The sum of two times a number and 5 is greater or equal to 9
Answers
Answer:
greater than 9 is the answer
Step-by-step explanation:
2x+5=11
Forty families were surveyed and asked to record the number of hours per week their television was in use. The results are shown in this frequency table.
Which histogram is an accurate representation of the data?
a
20
13
Number of Hours
0-5
40-49
10-19 20-29 30-39
Frequency
b.
20
19
16
14
12
Answers
Answer:
I think its D, Correct me if I'm wrong!
Step-by-step explanation:
write and simplify an expression to find the total cost of X pencils one poster board and one notebook
Answers
Answer:
xp + b + n
Step-by-step explanation:
Let "x" represent the amount of pencils needed to be bought
Let "p" represent the cost of 1 pencil
Let "b" represent the cost of one poster board
Let "n" represent the cost of one notebook
Since there is only one poster board and notebook being bought, they do not need a variable in front of their cost.