A level of confidence of 95% was used in the case above. A table at the back of a statistics textbook can be used to get the value of z* for a certain confidence level. For a 95% confidence level, the value of z* is 1.96.
An error margin of 3.92 is discovered when the value of z*, the demographic standard error, and the sample size are entered into the equation.
Statistical Estimation's Justification
Where does the confidence interval calculation formula come from?
The population mean's true value is never known; it can only ever be estimated or approximated. The easiest way of doing this is to choose many identical-sized random samples from the population.
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Help pls ASAP i am Limited on tile and I need someone to do this I need to do other assignments too
Answer:
78
Step-by-step explanation:
x + 12 = 90
x = 78
Write an equation in slope-intercept form of the line that passes through $\left(-5,\ 19\right)$ and $\left(5,\ 13\right)$ .
Answer:
hmmm say 5)13
Step-by-step explanation:
i can't explain it
The equation of the line is y = (-3/5)x + 16
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line is given by:
y = mx + c
The line passes through:
(-5, 19) and (5, 13)
So,
m = (13 - 19) / (5 + 5)
m = -6/10
m = -3/5
Now,
(5, 13) = (x, y)
13 = (-3/5) x 5 + c
13= -3 + c
13 + 3 = c
c = 16
Now,
y = mx + c
y = (-3/5)x + 16
Thus,
The equation of the line is y = (-3/5)x + 16
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help meeeeeeeeeee pleaseeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The dive lasted approximately [tex] \boxed{\sf 2.76} [/tex] seconds.
Step-by-step explanation:
Given formula: h = 16t²
Where, t is time in seconds and h is the distance in feet traveled by a free-falling body or object.
According to the question,
Height of the cliff from which diver dives (h) = 122 feet.
By substituting the value of height in the formula we get:
[tex]\rm \implies 122 = 16 {t}^{2} \\ \\ \rm \implies {t}^{2} = \dfrac{122}{16} \\ \\\rm \implies {t}^{2} = 7.625 \\ \\ \rm \implies t = \sqrt{7.625} \\ \\ \rm \implies t = 2.76 \: seconds[/tex]
Find the number of square tiles of sides 6 cm needed to fit in a rectangular region whose length andbreadth are: a) 9 m and 12 m b) 8 m and 9 m
Number of square tiles that are needed to fit the rectangular region are
(a) 30000 tiles and (b) 20000 tiles .
In the question ,
it is given that
the side of the square tile is = 6 cm
so ,the area of the square tile = 6*6= 36 cm²
Part(a)
the length of the rectangular region = 9m = 900 cm
the breadth of the rectangular region = 12m = 1200 cm
So, the area of the rectangular region = 900 * 1200 = 1080000 cm²
the number of tiles required = (area of rectangular region)/(area of tile )
= 1080000/36
= 30000
hence , 30000 tiles are needed.
Part(b)
the length of the rectangular region = 8m = 800 cm
the breadth of the rectangular region = 9m = 900 cm
So, the area of the rectangular region = 800 * 900 = 720000 cm²
the number of tiles required = 720000/36
= 20000
hence , 20000 tiles are needed .
Therefore ,Number of square tiles that are needed to fit the rectangular region are
(a) 30000 tiles and (b) 20000 tiles .
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Morgan is 15 years younger than mrs santos. Their shed combined is 44. (Look at picture pls) (D. M+s= 44 and m= s - 10 ; (27, 17); Morgan is 17 and Mrs. Santos is 27.
Answer:
Step-by-step explanation:
To find Mr.Santos's age subtract morgan's age from their combined age
44-15=29
Therefore Mr. Santos age is 29 years
Hope that helps
If the resistance in an electrical circuit is held constant, the amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit. When 3 volts are applied to a circuit, 75 milliamperes of current flow through the circuit. Find the new current if the voltage is increased to 4 volts
New current if the voltage is increased to 4 volts. = 0.1 A or 100 mA
What is a current simple definition?
The speed at which electrons go past a particular location in an electrical circuit is known as current. Current = flow, at its most fundamental level. The international unit for measuring current is an amp (AM-pir), sometimes known as an amp.amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit.
=> I ∝ V
=> I = V/R
R is a constant
and R is resistance
When 3 volts are applied to a circuit, 75 milliamperes of current flow through the circuit.
=> 75 x 10⁻³ = 3 /R
=> R = 3 x 10³/75
=> R = 10³/25
=> R = 40
I = V/R
V = 4
R = 40
=> I = 4/40
=> I = 1/10
=> I = 0.1 A
or 100 mA
new current if the voltage is increased to 4 volts. = 0.1 A or 100 mA
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Find the slope of the line passing through the following points: (-12, -56), (-57,39).
[tex](\stackrel{x_1}{-12}~,~\stackrel{y_1}{-56})\qquad (\stackrel{x_2}{-57}~,~\stackrel{y_2}{39}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{39}-\stackrel{y1}{(-56)}}}{\underset{run} {\underset{x_2}{-57}-\underset{x_1}{(-12)}}} \implies \cfrac{39 +56}{-57 +12} \implies \cfrac{ 95 }{ -45 } \implies {\Large \begin{array}{llll} - \cfrac{19 }{ 9 } \end{array}}[/tex]
Answer:
- 19/9
Step-by-step explanation:
The slope formula is y1 - y2 divided by x 1 - x2. What u do is u take the y coordinates from both points, and subtracted them. And you do he same for the x coordinates. Then you divide the y coordinates by the x coordinates. IN this case, this is how we would solve it.
-56 - 39 / -12 - (-57) = -95 / 45 = - 19/9
Quadrilateral TEAM is rotated-180° about the origin.
Draw the image of this rotation.
The area of the quadrilateral is determined as follows if the diagonal and the length of the perpendiculars from the vertices are known: The formula for calculating the area of a quadrilateral is (12) diagonal length the sum of the lengths of the perpendiculars drawn from the other two vertices.
Explain about the Quadrilateral?A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words Quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral. A quadrilateral is shown in the above image as an example. quadrilateral pieces.
Quadrilaterals with four congruent sides, four right angles, and two sets of parallel sides are called squares. Quadrilaterals having two sets of parallel sides are known as parallelograms. All squares are parallelograms because squares must have quadrilaterals with two sets of parallel sides.
Four sides and four angles make up a quadrilateral. Any convex polygon's exterior angles (i.e., no interior angle is less than 180 degrees) sum up to 360 degrees ( 4 right angles).
In the quadrilateral, each point's coordinates change as follows:
(x, y) → (-x, -y)
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Find the slope of the line that contains the points:
(-6, 3) and (-4, 5).
1
-1
-5
-1/5
These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two yellow marbels if the frist one is placed back in the bag before the second draw
The probability of drawing two yellow marbles if the first one is placed back in the bag before the second draw is 0.022
Since the formula we refer to in calculating probability is
P = no of possible outcomes/ total number of outcomes
Since we were provided with 10 marbles out of which 2 are yellow, 3 are pink and 5 are blue
So the total outcomes are = 1,The total number of yellow marble is 2
The probability that the first ball drawn is yellow :
P₊= 2/10= 1/5
the probability of drawing the second ball to be yellow is:
P₂= 1/9
the total probability of drawing two yellow marbles if the first one is placed back in the bag before the second draw is :
P= 1/5 * 1/9
= 1/45
= 0.022
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What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw? There are 10 marbles total, 2 yellow, 3 pink, and 5 blue
2. The lengths of a certain species of fish was
found to be normally distributed. The mean
length is 78 cm with a standard deviation
of 14 cm. In a school of 370 of these fish,
how many would be longer than than
92 cm
So, approximately 59 fish in the school would be longer than 92 cm.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc.
Here,
We can solve this problem using the normal distribution formula, which states:
z = (x - mu) / sigma
where z is the standard score, x is the raw score, mu is the mean, and sigma is the standard deviation.
To find the number of fish longer than 92 cm, we need to find the proportion of fish in the population with lengths greater than 92 cm. We can then multiply this proportion by the total number of fish in the school to get the number of fish longer than 92 cm.
First, we calculate the standard score for 92 cm:
z = (92 - 78) / 14
z = 1
Next, we look up the proportion of the standard normal distribution that corresponds to a z-score of 1. We can use a standard normal distribution table or calculator to find this value. The proportion of the distribution that is greater than z = 1 is approximately 0.1587.
Therefore, the proportion of fish in the population with lengths greater than 92 cm is 0.1587. To find the number of fish longer than 92 cm, we multiply this proportion by the total number of fish in the school:
370 * 0.1587 = 58.8
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Two congruent parallelograms are joined along their base
to make the shape below.
18 cm
Work out the total area of the shape.
11 cm
15 cm
The total area of the shape that is formed by the two congruent parallelograms is: 721 cm².
How to Find the Total Area of a Shape?To find the total area of the shape that is formed by the two congruent parallelograms, calculate the area of each face, then add all together.
The shape formed consist of:
2 identical parallelograms whose area = 2(base × height)2 identical right triangles = base × height1 rectangle = length × widthArea of the 2 identical parallelograms:
Base = 15 cm
Height = 11 cm
Area = 2(15 × 11) = 330 cm²
Area of the 2 identical right triangles:
Base = 11 cm
Height = 11 cm
Area = 11 × 11 = 121 cm²
Area of the rectangle = length × width = 18 × 15 = 270 cm²
Total area of the shape = 330 + 121 + 270
Total area of the shape = 721 cm²
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please help fast algebra 2
What is the greatest value in the range of y=x²-7 for the domain {-2,0,1}?
Answer:
f(-2) = - 3 is the greatest value in the given range
-------------------------------
GivenFunction y = x² - 7,Domain x = {- 2, 0, 1 }.Find the value for each domain and comparef(-2) = (-2)² - 7 = 4 - 7 = - 3f(0) = 0² - 7 = 0 - 7 = - 7f(1) = 1² - 7 = 1 - 7 = - 6The greatest value of the function is - 3.
3. Martin finishes a swim race in 78.934 seconds. His teammate, Abby finishes the race in 83.978 seconds and their last teammate finishes the race in 84.765 seconds.
CHALLENGE: How many minutes in total did they spend completing the race?
Help me pkleasee :((
The number of minutes in total that the three swimmers spent in completing the race is; 4.12795 minutes
How to carry out units conversion?We are given;
Time taken by Martin to finish swimming = 78.934 seconds
Time taken by Abby to finish swimming = 83.978 seconds
Time taken by the last teammate to finish the race = 84.765 seconds
Thus;
Total time taken by the three swimmers to finish the race = 78.934 + 83.978 + 84.765 = 247.677 seconds
Now, we want to know the total time they spent in minutes and we know that the unit of conversion is;
60 seconds = 1 minute
Thus;
247.677 seconds = (247.677 * 1)/60 = 4.12795 minutes
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What is the value of x?
1.9x+0.1x=0.6
Enter your answer as a decimal in the box.
x = ???
Answer:
x = 0.3
Step-by-step explanation:
[tex] \sf1.9x + 0.1x = 0.6[/tex]
Combine like terms.
[tex] \sf2x = 0.6[/tex]
Divide both sides by 2.
[tex] \sf \: x = 0.3[/tex]
Find the area of each trapezoid.
1)
8 in
6 in
4 in
The area of the given trapezoid is 24 square inches.
Area of trapezoid:
Area of the trapezoid is referred as the total space covered by its sides.
The formula to calculate the area of the trapezoid is
A = ½ (a + b) h
where
(A) is the area of a trapezoid,
'a' and 'b' are the bases that are parallel sides,
and 'h' is the height that is the perpendicular distance between a and b
Given,
Here we have the values 8 in, 6 in, and 4 in
Through the given values we have to find the area of the trapezoid.
Let us consider the base values of the trapezoid are 8in and 6 in and the height as 4 in.
Now, we have all the side value of the trapezoid.
Then we have to apply it on the formula,
Then we get,
Area = 1/2 (8 + 6) x 4
Area = 2 x (12)
Area = 24
Therefore, the area of the trapezoid is 24 square inches.
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=. A model plane is 24 cm in length. It represents a real plane that is 72 meters in
length. What is the scale used?
The scale used is 1 cm : 3m
if the product of five and the number is increased by seven, the result is the same as eight less than three times a number
Please helppppp
Answer:
The number is -7.5
Step-by-step explanation:
Creating an equation:
5x+7=3x-8
-> 5x = 3x-15
-> 2x=-15
-> x=-7.5
The town of Wattle has a population that is decreasing steadily.
It is found that the population is decreasing at a rate of 5.4% per year.
How long will it take for the population to be beneath 45% of what it is now?
Answer:
After 1 yr P1 = .946 Po
After 2 yrs P = .946 P1 = .946^2 Po
After n yrs P = .946^n Po
.45 = .946^n What is n needed to drop P to .45 P
log .45 = n log .946
n = log .45 / log .946 = -.347 /-.0241 = 14.4 years
f(x) = 11 – x Find the range of f for x > 4.
Answer:
Step-by-step explanation:
Comment
The graph below shows or implies that you start at very close to 4 and move downward and to your right
To find the beginning of the range, substitute 4 into the given equation
f(4) = 11 - 4
f(4) = 7
The range is
7 <y <-∞
What fraction is equivalent to 21/42?
Answer: 1/2
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation
We can convert 21/42 by dividing both the numerator and denominator by 21 to get
1/2
Hopes this helps please mark brainliest
Supposed the original quality is 1,500 and the new quality is 1,650 what should be the first step in solving for the percent increase what is the percent increase
The first step is to find the increase in quantity.
The percentage increase is 10%.
How to calculate the percentage?From the information, the original quality is 1,500 and the new quality is 1,650.
The first step is to find the increase in quality will be:
= New quantity - Old quantity
= 1650 - 1500
= 150
The percentage increase will be:
= Increase / Old Quantity × 100
= 150 / 1500 × 100
= 10%
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There are 14 students in the school that like vanilla ice cream best. This represents 20% of the total number of students at the school. How many students are there in the school in total?
There are 70 students in the school in total
clint's cowboy shop buys horse feed for $\$10$ per cubic meter ($\text{m}^3$). clint's customers don't like the metric system, so they'll only buy horse feed by the cubic foot. how many cents should clint charge for a cubic foot ($\text{ft}^3$), if he wants to sell the horse feed for twice the price he bought it at?
In linear equation, 57 cents per cubic foot should clint charge for a cubic foot .
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. A linear equation in one variable would be 9x + 78 = 18.cubic meter = [3.28 ft ]^3 ≈ 35.29 cubic feet
So,
price [ in cents] / 35.29 cubic feet = 2000 / 35.29 ≈ 57 cents per cubic foot
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hello cn someone help please
The size of angle x is 54 degrees.
Let O be the complete angle,
<O = 360
Angle between diagonals = 360/5 = 72 degrees.
All diagonals of regular pentagon are equal and their opposite angles are equal .
With angle center O it forms a triangle:
sum of angles = 180
x + x + 72 = 180
2x + 72 = 180
2x = 180 - 72
2x = 108
divide by 2 on both sides
2x/2 = 108/2
x = 108/2
x = 54 degrees.
Therefore the size of angle x is 54 degrees.
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write down the probability of getting an odd number when you roll a 6 sided die
The probability of getting an odd number when you roll a 6 sided die is 1/2
How does probability explain work?
Simple terms, probability is the probability that an event will occur. When we do not even understand how an event will come out, we can analyze the probability or likelihood from several outcomes. Statistical is the analysis of events which match a posterior distribution.
What is the likelihood that the result of a roll of a standard six-sided die will be an odd number?
A cube with six faces makes up a standard six-sided die. They have the following numbers: 1, 2, 3, 4, 5, and 6. Any integer that is not divisible by two is an odd number. The odd numbers in this situation are 1, 3, and 5. The number of successful outcomes divided by the total number of possible outcomes can be represented as a fraction to represent the likelihood that any event will occur.
There are three correct answers to this puzzle, or the three odd integers. Additionally, there are six potential outcomes, ranging from one to six. When using standard six-sided die, there is a three-sixths, or three from out six, chance that the outcome will be an odd number.
Three can be divided by both three and six. As a result, this fraction can be expressed as one-half. One is equal to three divided by three. Additionally, two is equal to six times three. One-half or one in two chances exist that the result is strange.
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alexander was studying the effect of playing rock music on plant growth. one of the plants was exposed to rock music for 24 hours a day for a period of 6 weeks. data on the growth of the plant was collected at the end of each week and plotted in a graph. based on the data, which would be the most reasonable measurement at the end of an 8 week period?
Eight decimeters are the most logical measurement after eight weeks, according to the statistics.
A line is described as a collection of points that stretches in both directions indefinitely. It has a single-length dimension. Collinear points are points that are located on the same line. Two points form a line, which is shown below an arrowhead.
If a line intersects two spots [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the line's equation,
y - [tex]y_1[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex](x - [tex]x_1[/tex])
It is evident from the above graph that the line goes through points (0,0) & (1,1). Consequently, the trend line's equation is
y - 0 = [tex]\frac{1 - 0}{1 - 0}[/tex](x - 0)
y = x
To determine the most acceptable measurement after 8 weeks, change x = 8 in the equation above.
y = 8
After eight weeks, 8 decimeters are the most realistic measurement.
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The question is -
Alexander was studying the effect of playing rock music on plant growth. One of the plants was exposed to rock music 24 hours a day for 6 weeks. Data on the growth of the plant was collected at the end of each week and plotted in a graph, with time in weeks on the X-axis and height in decimeters on the Y-axis. Based on the data, which would be the MOST reasonable measurement at the end of 8 weeks?
A) 2 decimeters
B) 6 decimeters
C) 8 decimeters
D) 16 decimeters
the population etiologic fraction is a measure of the proportion of the disease rate in a population attributable to the exposure of interest. this measure of effect is influenced by:
The relative risk of the disease influences this measure of effect in exposed individuals versus unexposed individuals and the prevalence of exposure in the population.
As stated, the population etiology fraction measures the disease rate in a population attributable to the exposure of interest. A measure that is primarily determined by the exposure caused by a particular disease. Therefore, it may be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals, as well as the prevalence in the population of the exposure.
An epidemiological tool is the Population Attributable Risk, also called the Etiologic Fraction or Attributable Fraction. Efforts to eliminate a given risk factor would be expected to reduce the attributable risk to a specific percentage. The attributable risk of disease is calculated by combining the relative risk for a given exposure with the prevalence of the exposure in the population.
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The perimeter of an equilateral triangle is 63 inches. If the length of each side is (3x-9), find the value of x.
Answer:
x=
Step-by-step explanation:
There are 2 ways to do this.
4(3x-9)=63; 12x-36=63; 12x=99; x=8. Or: (3x-9)+(3x-9)+(3x-9)+(3x-9)=63; 12x-36=63; 12x=99; x=
