Express the confidence interval (30.2% ,44%) in the form of ˆp ± ME.
First, express the interval in decimal form:
(0.302, 0.44)
Now find the average value of the endpoints of the interval. This will give us the value of p:
\(p=\frac{0.302+0.44}{2}=0.371\)Now find the semi difference of the endpoints to have the value of ME:
\(ME=\frac{0.44-0.302}{2}=0.069\)Now express the interval in the required form:
\((0.32,0.44)=0.371\pm0.069\)Find the area of the shaded region.
40 ft
16 ft
14 ft
10 ft
Answer:
Area = 780 ft²
Step-by-step explanation:
Area of the shaded region = area of rectangle A + area of rectangle B
Area of rectangle A = L*W
L = 40 ft
W = 16 ft
Area of rectangle A = 40*16 = 640 ft²
Area of rectangle B = L*W
L = 10 ft
W = 14 ft
Area of rectangle B = 10*14 = 140 ft²
Area of the shaded region = 640 + 140 = 780 ft²
what is the Greatest commom factor of 24 and 74
Answer:
2 is the gcf of 74 and 24. gcf(74,24) = 2.
Step-by-step explanation:
I hope this helps lol
what are exchange rates?
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
Please help I will give brainliest and 45 points
Answer:
129.13
Step-by-step explanation:
Triangle:
8 × 13 = 104
Semi-circle:
3.14(4²) ÷ 2 = 25.1327
25.13 + 104 = 129.13
good luck, i hope this helps :)
Answer:
The area should be 104.
Step-by-step explanation:
Just multiply top by bottom.
whats is 2+2?
im confused pls explain
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
If you continue operating the tractor at its current level, how man
fertilize in the next hour?
A. 5.96 acres
B. 11.92 acres
C. 12.92 acres
D. 19.87 acres
Answer:
D. 19.87 acres
Step-by-step explanation:
do not put heart if wrong and put heart if correct
What is the area of a rectangle that has a length of 1/4 inch and a width of 1/8 inch?
Answer:
1/4 * 1/8 = 1/32 inch
Step-by-step explanation:
1/4 * 1/8 = 1/32inch
A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes, and their age of death. The data is summarized below:
∑x=1257
∑y^2=836
∑x^2=98823
∑y=116
∑(xy)=8249
Find the correlation coefficient (r):
The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers
The correlation coefficient is 0.53
How to calculate the correlation coefficientThe correlation coefficient (r) is calculated as:
\(r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}\)
Using the given parameters, we have:
\(r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}\)
Evaluate the exponents
\(r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}\)
Evaluate the products
\(r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}\)
Evaluate the differences
\(r = \frac{19168}{\sqrt{[396411*3264}}\)
Evaluate the product
\(r = \frac{19168}{\sqrt{1293885504}}\)
Evaluate the root
\(r = \frac{19168}{35970.6}\)
Evaluate the quotient
\(r = 0.53\)
Hence, the correlation coefficient is 0.53
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let's see who can solve this. pleseeee
The correlation coefficient between X and Y is Corr(X, Y) = 0.
To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.
a. Marginal distribution of X:
To find the marginal distribution of X, we integrate the joint PDF over the range of Y:
∫[0, 1] J(x, y) dy
Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:
∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1
So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.
b. Expectation of X:
The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:
\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)
Therefore, the expectation of X is E(X) = 1/3.
c. Variance of X:
The variance of X can be calculated using the formula:
\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)
Therefore, the variance of X is Var(X) = 5/36.
d. Covariance of X and Y:
The covariance of X and Y can be calculated as:
Cov(X, Y) = E(XY) - E(X)E(Y)
Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:
\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)
\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)
Cov(X, Y) = 1/6 - (1/3)(1/6) = 0
Therefore, the covariance of X and Y is Cov(X, Y) = 0.
e. Correlation coefficient between X and Y:
The correlation coefficient can be calculated using the formula:
Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))
Since the covariance of X and Y is 0, the correlation coefficient will also be 0.
Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.
f. Conclusion based on the correlation coefficient:
The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the
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A rectangle's length is 4 feet more than its width. Write a quadratic function
that expresses the rectangle's area in terms of its width.
A. A(w) =v2-47
B. A(W) = 12 +41
C. A(W) =1+4
D. A(v) = lv
Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
what are you guys studying?
Answer:
im study about history it was my favourite subject!
Mayra bought x grams of rice. Anika bought 1/3 more than mayra bought.
Look at the diagram of the tennis court below the diagram enhances examples of wine segments angles planes and vertics write the geometric term that best describes each part of the tennis court
Answer: The diagram contains examples of line segments, angles, planes, and vertices. Now try on your own!
Step-by-step explanation:
Image down below!!!
Write an expression to describe the sequence below. Use n to represent the position of a
term in the sequence, where n = 1 for the first term.
11, 12, 13, 14, ...
Answer:
n+10
Step-by-step explanation:
This is applicable because if you plug in the numbers it will work for example. -
what sequence is 12 in, it is the second number so n=2
so add 10 to 2 which is 12
So as seen the answer is n+10
thanks and mark me brainliest
the mean, the median, and the are basic statistical measures that determine characteristics of a given group of numbers.
Answer:
middle set of data
Step-by-step explanation:
Easy points
What is the measure of the unknown angle?
125° 143° 140° 145°
Answer:
Step-by-step explanation:
n+37=180
n=180-37=143°
Answer:
B) 143°
Step-by-step explanation:
Since n° is supplementary to 180°, then n°=180°-37°=143°.
Solve For X: 12 * X+3=51
Answer:
x=4
Step-by-step explanation:
12 * X+3=51
Subtract 3 from each side
12x +3-3 = 51-3
12x = 48
Divide by 12
12x/12 = 48/12
x = 4
find the perimeter (help pls)
Answer:
14
Step-by-step explanation:
63²
Note:I'm hoping the bottom of the other side is 10 as well or this is wrong
A certain number is added to 9, the result is five minus the same number
A multiple of nine will always occur from switching any two digits in a multi-digit number and subtracting the smaller of the two numbers from the larger.
What is the result of adding number giving same number?The subtrahend is the number being subtracted, and the minuend is the number from which it is being subtracted. The distinction is the outcome.
Let's call the unknown number “x”. Then we can translate the given statement into an equation:
\(x + 9 = 5 - x\)
To place x on one side of the equation alone in order to solve for it. Add \(x\) to both of them.
sides:
\(x + x + 9 = 5\)
Combining like terms:
\(2x + 9 = 5\)
Subtracting 9 from both sides:
\(2x = -4\)
Dividing both sides by 2:
\(x = -2\)
Therefore, the solution to the equation \(x + 9 = 5 - x\) \(x = -2\). We can check our answer by substituting x=-2 back into the original equation:
\(-2 + 9 = 5 - (-2)\) \(7 = 7\)
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Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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I think it’s 40%, am I correct?
write an equation of a line that passes through (-3,1), perpendicular to Y=-3x-3
Answer:
4
Step-by-step explanation:
To be perpendicular, the product of the slope is -1.(x,y) Substituting the coordinates.y= 1/3(x+3) + 1y= 1/3x +2Answer:
your answer is correct
Step-by-step explanation:
the first one is the correct answer
Question 1-2
What is the value of a³ + b (6 + c), when a = 2, b = 3, and c = 4?
Answer:
\(\huge\boxed{\sf 38}\)
Step-by-step explanation:
Given expression:= a³ + b (6 + c)
Put a = 2, b = 3 and c = 4
= (2)³ + 3 (6 + 4)
= 8 + 3(10)
= 8 + 30
= 38\(\rule[225]{225}{2}\)
Answer:
Step-by-step explanation:
the requied answer is 38.
according to the question the value of a=2,b=3,c=4.
here,
to find the value of a³ + b (6 + c)we have to do it in steps:
step 1: solve the bracket (6+4) =10.
step 2: solve the value of a³ =8.
now put these values ,
=8+3(10)
=38.
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The true statements are:
The radius of the circle is 3 units.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.What is circle?A circle is a closed, two-dimensional shape where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the middle.
To identify the true statements, we can first rewrite the given equation of the circle in standard form:
x² - 2x + y² = 8
Completing the square, we get:
(x - 1)² + y² = 9
Now we can identify the true statements:
The radius of the circle is 3 units. (True, the equation is in standard form (x-1)² + y² = 3²)The center of the circle lies on the x-axis. (False, the center is (1,0))The center of the circle lies on the y-axis. (False, the center is not on the y-axis)The standard form of the equation is (x – 1)² + y² = 3. (True, as shown above)The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9. (True, both circles have a radius of 3)Therefore, the true statements are:
The radius of the circle is 3 units.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.Learn more about circle on:
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Juli uses 12 ounces of cheese in her potato soup recipe. Her recipe yields 8 servings. If Juli needs enough for 20 servings, how many pounds of cheese will she need? Thanks for the help!
Answer:
30 ounces of cheese
Step-by-step explanation:
12 divided by 8 = 1.5 so 1.5 ounces of cheese per serving
20 x 1.5 = 30 so 30 ounces of cheese
he position of a particle is described by the equation . what is the total distance traveled by the particle between t
The distance travelled by the particle is 15
\(v(t) = \frac{t ds}{dt} = 2t - 2\)
\(ds = v(t) dt\)
\(\implies ds(t) = (2t-2)dt\)
\(\implies s = \int\limit_0^5 (2t-2) \, dt\)
\(s = \left(t^2 - 2t \right)_2^5 = 25 - 10 - 4 + 4\)
\(\therefore s = 15\)
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How many solutions does the system of equations below have? y=-3/4x+1/6
The solution is the point (0, 1/6) y = 1/6
Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.
In this case, the equation is in slope-intercept form (y = mx + b),
where m represents the slope (-3/4) and b represents the y-intercept (1/6).
The slope-intercept form allows us to determine various properties of the equation.
Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.
Each pair of x and y values that satisfy the equation represents a solution.
For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:
y = (-3/4)(0) + 1/6
y = 1/6
Therefore, the solution is the point (0, 1/6).
In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.
Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.
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