By answering the above question, we may infer that Hence, the probability likelihood is 0.2752. (rounded to four decimal places).
What is probability?Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.
We may utilize the complement of the CDF to respond to this query.
For x 0, the complement of the CDF is defined as 1 - F(x) = e(-x).
Thus, the likelihood that an old ICU patient will be there for more than five days is as follows:
[tex]1 - F(5) = e^(-0.3030 * 5) = 0.2052[/tex]
Hence, the likelihood is 0.2052. (rounded to four decimal places).
We may utilize the difference between the CDF at two distinct values to get an answer to this query.
The likelihood that an old ICU patient will be there for two to four days is as follows:
[tex]F(4) - F(2) = (1 - e^(-0.3030 * 4)) - (1 - e^(-0.3030 * 2)) = e^(-0.3030 * 2) - e^(-0.3030 * 4) = 0.2752[/tex]
Hence, the likelihood is 0.2752. (rounded to four decimal places).
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There are nine balls in an urn. They are identical except for color. Three are red, five are blue, and one is yellow. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color.
(a)
Make a tree diagram to show all possible outcomes of the experiment.
(b)
Let P(x, y) be the probability of choosing an x-colored ball on the first draw and a y-colored ball on the second draw. Compute the probability for each outcome of the experiment. (Enter your answers as fractions.)
P(R, R) =
P(R, B) =
P(R, Y) =
P(B, R) =
P(B, B) =
P(B, Y) =
P(Y, R) =
P(Y, B) =
Answer: Diagram (B)
We have a total number of balls in the urn =9
Let us denote the red ball as R = 4
Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2). A coordinate plane with a line passing through (negative 5, 4) and (0, 3). A coordinate plane with a line passing through (negative 4, negative 6) and (0, 3). A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4). Mark this and return
We can state this by responding to the provided question A direct function variation function is represented by the graph of this equation, which is a straight line going through the points (0, -2) and (-4, 0).
what is function?Mathematicians research numbers, their variants, equations, associated structures, forms, and possible configurations of these. The word "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is a connection between inputs and outputs where each input results in a single, distinct outcome. Each function has a domain, codomain, or scope assigned to it. Functions are usually denoted by the letter f. (x). An x is entered. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.
The coordinate plane with a line crossing between (0, -2) and (-2) is the graph that illustrates a function with direct variation (-4, 0).
If m is the line's slope and (x1, y1) is a point on the line, [tex]y - y1 = m(x - x1).[/tex]
The line's slope is as follows:
[tex]m = (y2 - y1)/(x2 - x1) = (-2 - 0)/(0 - (-4)) = 1/2[/tex]
The equation of the line going through (0, -2) and (-4, 0), expressed in point-slope form, is:
[tex]y - (-2) = 1/2(x - 0) (x - 0)[/tex]
When we simplify the equation, we obtain:
[tex]y = 1/2x - 2[/tex]
A direct variation function is represented by the graph of this equation, which is a straight line going through the points (0, -2) and (-4, 0).
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helppppppppppp
LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates and , where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 180 miles.
What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?
The coordinates of the receiver are (x, y) = (10, 5), and the standard form of the hyperbola is x² - 20x + 212.5 = 0.
What is a hyperbola?A hyperbola is the location of all the points on a plane whose distances from two fixed points in the plane differ by an amount that is always constant. The centre, represented by O in the above diagram as the centre of an ellipse, is where two foci are connected by a line segment when they are united by a line segment. The transverse axis of the hyperbola is the line segment that passes across both foci.
From the given situation we have,
The length of the transverse axis is 180/2 = 90 miles.
Using the distance formula between the two transmitters we have:
d1 = √((x - 5)² + y²)
d2 = √((x + 5)² + y²)
Now, the equation of d is:
|d1 - d2| = 90
Simplifying and squaring both sides, we get:
(d1 - d2)² = 8100
Substituting the expressions for d1 and d2 and expanding, we get:
[(x - 5)² + y² - (x + 5)² - y²]² = 8100
-40x² + 800x - 400 = 8100
-40x² + 800x - 8500 = 0
Dividing by -40, we get:
x² - 20x + 212.5 = 0
d1 = √((x - 5)² + y²) = √((7.5)² + y²)
d2 = √((x + 5)² + y²) = √((2.5)² + y²)
Substituting d1 - d2 = 90/2 = 45 and simplifying, we get:
y² - 50y + 450 = 0
Solving for y:
We get y = 5 or y = 45.
Since the receiver is in the first quadrant, we take y = 5.
Therefore, the coordinates of the receiver are (x, y) = (10, 5), and the standard form of the hyperbola is x² - 20x + 212.5 = 0.
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m=1 b=4 what does y=
Answer:
Find the value of b using the formula for the equation of a line.
y = mx+b
Replace the known value of m in the slope y-intercept form of the equation.
y=(1)x+b
Replace the known value of b in the slope y-intercept form of the equation.
y=(1)x+4
Simplify the slope y-intercept form of the equation.
Remove parentheses.
y=(1)x+4
Multiply 1 by x
y=1x+4
Remove parentheses.
y=(1)x+4
Multiply x by 1
this is the answer : y=x+4
i hope this helps.
Evaluate the following piece wise function.
Find the following values:
F(4) =
F(-10) =
F(0) =
F(-5) =
13/4 is the value of x in function .
What exactly are function and example?
A function is a type of rule that produces one output from one input. This is illustrated by the equation y=x2. You only get one output for y if you enter anything for x.
Considering that x is the input value, we would state that y is a function of x.
f(x) = { 5; x< 1 }
{ -1/2x + 4 ; x≥ 1 }
f(4) = { -1/2 * 4 + 4 }
= { -2 + 4 }
= { 2 }
f( -10) = { -1/2 * -10 + 4 }
= { 5 + 4 }
= 9
f(0) = { -1/2 * 0 + 4 }
= { 0 + 4}
= 4
f(-5) = ( -1/2 * - 5 + 4 )
= 5/2 + 4
= 13/4
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Solve the following equation by completing the square.
Solving the equation by completing the square gives the solution as;
x = (6, -10)
How to solve equation by completing the square?The equation we are given to complete the square is;
x² + 4x = 60
Add half the square of half of the coefficient of x to both sides to get;
x² + 4x + (4/2)² = 60 + (4/2)²
x² + 4x + 4 = 64
Writing left hand side as a perfect square gives;
(x + 2)² = 64
Taking square root of both sides gives;
x + 2 = ±8
x = -2 ± 8
x = (6, -10)
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Tan (30,000)
5. One of the steepest streets in the United States is the 500 block of Highland Drive on Queen
Ann Hill in Seattle. If you measure horizontally 70 centimeters from a point on the road
surface, you must go down 14.2 centimeters to get back to the surface. What angle does
Highland Drive make with the horizontal?
A
14.2
=(80)
70
O
tant = 70
14.2
0=78.5%
112.455 =X
(cv) mot
P. Joj
Therefore , the solution of the given problem of trigonometry comes out to be forms an angle with the horizontal of about 11.71 degrees.
A Trigonometry is what?A relationships between cubic splines and triangle maths astrophysics is believed to have been created when the various fields came together. Many metric problems can be solved or the results of their calculation can indeed be determined with the help of precise mathematical methods. Trigonometry is the study of six basic trigonometric calculations. .
Here,
The tangent function, which is referred to as the ratio of the opposite side (the height drop) to the adjacent side, can be used to determine the angle that Highland Drive forms with the horizontal (the horizontal distance).
The angle's tangent in this situation can be written as:
=> tan(θ) = adjacent/opposite = 14.2/70
We can use a computer to determine that the angle's tangent is roughly 0.2029.
By taking the inverse tangent (also referred to as the arctangent) of this number, we can determine the angle itself:
=> 11.71 degrees are equal to theta = arctan(0.2029)
Highland Road thus forms an angle with the horizontal of about 11.71 degrees.
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Using a random sample from a population, Hazel cannot decide if she wants to construct a 92 percent confidence interval for the population mean or a 98 percent confidence interval for the population mean. What is the difference between the two confidence intervals? (4 points)
The difference between the 92% confidence interval and the 98% confidence interval is that the 98% confidence interval for the population mean is wider than the 92% confidence interval for the population mean.
What is a z-distribution confidence interval?The bounds of the confidence interval are given by the rule presented as follows:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Increasing the confidence level, the value of z is increased, hence the margin of error is also increased and thus the 98% confidence interval for the population mean is wider than the 92% confidence interval for the population mean.
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hello! Find the slope of the line in the graph thanks!
The slope of the given line is [tex]m = \dfrac{1}{2}\\[/tex].
What is a slope?A line's slope is calculated as the tangent of the angle it makes with the x-axis. A straight line's slope remains constant throughout. Y = mx + b can be used to calculate a straight line's slope-intercept form.
Given that the line is passing through the points ( 0,1) and (-2, 0 ). The slope of the line is calculated by the application of the formula given below,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line is calculated by substituting the values of the coordinates in the formula,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \dfrac{1 - 0}{0 + 2 }[/tex]
[tex]m = \dfrac{1}{2}[/tex]
Therefore, the slope of the line will be [tex]m = \dfrac{1}{2}\\[/tex].
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a boy band has released two albums. Their first album should 5.9 x 10 to the 5th power copies. the second sold 1.3 x 10 to the 6th power copies. how many copies had the band boy sold
The total number of copies that the band sold is given as follows:
1.89 x 10^6 copies.
How to obtain the total number of copies sold?The total number of copies sold is obtained adding the number of copies of each album sold.
The amounts for each album are given as follows:
First album: 5.9 x 10^5 = 0.59 x 10^6.Second album: 1.3 x 10^6.When we add two numbers in scientific notation, they must have the same exponent, hence we add the bases keeping the exponents, as follows:
(1.3 + 0.59) x 10^6 = 1.89 x 10^6 copies.
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How much would 3 computers, 6printers, and 30 cd’s cost ?
The total cost of 3 computers, 6 printers, and 30 CD’s will depend on the specific combinations of each type of product. However, as an estimate, you can expect to pay anywhere from $1,000 to $4,000 depending on the quality of the products you purchase.
What is cost?Cost is the amount of money that must be paid for goods or services. It can refer to the price of a single item, the total expense of a purchase, or the amount of money paid for a particular service. Cost is an important factor in calculations such as profit, budgeting, and pricing. It is also a factor in determining the value of goods and services when comparing different providers.
The total cost of 3 computers, 6 printers, and 30 CD's would depend on the type of products you are looking to purchase. Computers will vary in price depending on the make and model, as well as the features included. For example, a basic laptop might cost anywhere from $200 to $400, while a high-end gaming laptop could cost upwards of $2,000. Similarly, printers also vary in price depending on the features and type, ranging from $50 to $500. CDs can cost anywhere from $0.50 to $7.00 each, depending on the type and quality.
Therefore, the total cost of 3 computers, 6 printers, and 30 CD’s will depend on the specific combinations of each type of product. However, as an estimate, you can expect to pay anywhere from $1,000 to $4,000 depending on the quality of the products you purchase.
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Can someone please help? I just don’t understand thank you.
The simplified form of the given expression is 1. Using the trigonometric functions sin b = 7/25.
What is Pythagorean identity?The Pythagorean identity is a trigonometric identity that relates the values of sine and cosine of an angle in a right triangle.
According to question:a)Given cos(b) = 24/25, we can use the Pythagorean identity to find sin(b):
sin(b) = √(1 - cos²(b))
= √(1 - (24/25)²)
= √(1 - 576/625)
= √(49/625)
= 7/25
Now we can use the definitions of the trigonometric functions to find the remaining values:
cos(b) = 24/25
sin(b) = 7/25
tan(b) = sin(b)/cos(b) = (7/25)/(24/25) = 7/24
csc(b) = 1/sin(b) = 25/7
sec(b) = 1/cos(b) = 25/24
cot(b) = 1/tan(b) = (24/7)
b) By simplifying the given expression using the identity:
[tex]tan x = sin x / cos x[/tex]
[tex]cos x+sinxtanx=cosx+sinx(sinx/cosx)[/tex]
By multiplying through by cos x,
cos² x + sin x sin x = cos² x + sin²x
Using the identity sin² x + cos² x = 1,
cos² x + sin² x = 1
cos x + sin x tan x = 1
The simplified form of the given expression is 1.
c) tan²α(csc²α-1)=1 for all values of α where csc α ≠ 0.
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Brainliest for correct answer
Answer:
b.40.3 ft2 is the answer hope it helps u u u BRAINLIST
Answer:
D. 41.7 ft.^2
Step-by-step explanation:
rectangle area: 5.2 x 6= 31.2
triangle area: (6 x 3.5)/2=10.5
31.2+10.5= 41.7
Decide whether the probability described is theoretical or empirical. At one school, 59% of the students having lunch in the union are female, so the probability of a randomly selected student from the campus phone directory being male is 0.41.
The probability for this problem is an Empirical probability, as it is taken from an experiment.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
Empirical probability is based on observations or experimental data, for example, observing the number of students in a cafeteria and obtaining the percentage of male students and female students, as is done for this problem.
Theoretical probability, on the other hand, is based on mathematical analysis and is calculated using the principles of probability theory. It is the probability that an event will occur based on all possible outcomes. For example, a fair coin is equally as likely to be heads or tails.
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What is 521.3215 rounded to the nearest hundredth
Answer:521.32
Step-by-step explanation:
.3 represents your tenths
the 2 in .32 represents your hundredths
to round, you look at the number next to your two on the right which is 1
since 1 is less than 5 you leave it the same and eliminate the rest of the numbers that follow it
Brainliest for correct answer
Answer:
D
Step-by-step explanation:
2ft×6ft=12ft
12ft÷2=6
6×2=12ft for the two triangles
6×4=24ft for the rectangle
24ft+12ft= 36 square feet
so it's D 36 square feet
Answer:
[tex]\huge\boxed{\sf 36 \ ft.\²}[/tex]
Step-by-step explanation:
Given that,
Base = 2 + 4 = 6 ft.
Height = 6 ft.
Area of parallelogram:= Base × Height
= 6 × 6
= 36 ft.²[tex]\rule[225]{225}{2}[/tex]
Write the pair of fractions has a pair of fractions with the common denominator 1/3 and 3/4
Answer:
4/12 and 9/12
Step-by-step explanation:
Yayayayayayayavpleas e help
Answer:
<1 and <2 - Add to 180
<1 and <3 - Equal
<3 and <4 - Add to 180
<2 and <4 - Equal
Step-by-step explanation:
No such step-by-step explanation, but we can reason with theorems.
The Vertical Angle theorem states: the opposing angles of two intersecting lines must be congruent, or identical in value.
The Linear Pair theorem states: If two angles form a linear pair, then the measures of the angles add up to 180°.
<1 and <2
<3 and <4
These angle pairs criteria make them apply to the Linear Pair theorem. Therefore, when a pair of angles are a linear pair, they add up to 180.
<1 and <3
<2 and <4
These angle pairs' criteria make them apply to the Vertical Angle Theorem. Therefore, when a pair of angles are vertical angles, they will be congruent (equal, have the same measure).
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A daycare center has a weekly revenue of $18,000. The daycare director has created a monthly budget using the following percentages for expenses:
Sorry but I think the question is not completed, can you reupload the question properly? I'll answer it
write an equation in point slope form of the line that passes through the point (-3 , -1) with slope -1/3
As a result, the equation in point-slope form for the line passing through the point (-3, -1) with a slope of -1/3 is: y - (-1) = (-1/3)(x - (-3)) or y + 1 = (-1/3)(x + 3)
what is slope ?Slope is a mathematical term that describes how steep a path is. The ratio of the vertical shift (rise) to the horizontal transition (run) between any two points on a line is more precisely known as the slope of a line. A line's inclination can be zero, positive, negative, or undefinable. A line that has a positive slope is rising as it travels from left to right, whereas a line that has a negative slope is falling as it moves in the opposite direction. A line has a slope of zero if it is straight, and a slope of infinity if it is vertical.
given
The linear equation's point-slope form is:
y - y1 = m(x - x1) (x - x1)
where (x1, y1) is a spot on the line and m denotes the angle of the line's slope. The equation of the line can be expressed as follows using the provided point (-3, -1) and slope of -1/3:
y - (-1) = (-1/3)(x - (-3))
Streamlining the right side:
y + 1 = (-1/3)(x + 3)
Increasing the right side:
y + 1 = (-1/3)x - 1
Taking away 1 from both sides:
y = (-1/3)x - 2
As a result, the equation in point-slope form for the line passing through the point (-3, -1) with a slope of -1/3 is: y - (-1) = (-1/3)(x - (-3)) or y + 1 = (-1/3)(x + 3)
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Brainliest for correct answer
Answer:
Step-by-step explanation:
Area of a triangle = 1/2 * b * h. 1/2 * 9 * 2; 9 * 1 = 9.
Area of a rectangle is two triangles, so b * h. We use the same base and height from the triangle. b * h; 9 * 2 = 18.
So the correct answer would be C. Hope this helps.
Find the remaining sides of a 45°-45°-90° triangle if the longest side is 4. Answer exactly.
Answer:
each of the other sides is 2√2 = 2.8284
Step-by-step explanation:
A 45°- 45°-90° triangle is also known as a right isosceles triangle because two of the legs are the same as two of the angles are the same at 45°
If a is the length of one of the legs then the hypotenuse, h, which is the longest side is given by the equation
[tex]h = \sqrt{a^2 + a^2}\\\\h = \sqrt{2a^2}\\\\h = a \sqrt{2}[/tex]
Or, dividing by √2 on both sides,
[tex]\dfrac{h}{\sqrt{2} }= a[/tex]
Given h = 4
[tex]a =\dfrac{ 4}{\sqrt{2}} = \dfrac{2\cdot2}{\sqrt{2}} = 2\sqrt{2} \quad\quad\quad(since $\dfrac{2}{\sqrt{2}}$ = \sqrt{2}})[/tex]
a = 2√2 = 2.8284
So each of the other sides is 2√2 = 2.8284
amy and Brian want to fence in a circular portion of there backyard for a play space for their children. determine the area of the largest portion of the yard they can with 90 feet of fencing
The largest portion of the yard they can fence in with 90 feet of fencing has an area of 2025/π feet².
Explain area of circular portion?
The area of a circular portion is the amount of space within the boundary of the circular shape. It is given by the formula A = πr², where r is the radius of the circle.
Now,
To determine the area of the largest portion of the yard, we need to find the radius of the circular portion.
The circumference of a circle is 2πr. Since they have 90 feet of fencing, we can write:
90 = 2πr
Solving for r, we get:
r = 45/π
The area of the circular portion is given by the formula A = πr². Substituting r, we get:
A = π(45/π)² = 2025/π feet²
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QUESTION 9
Consider the following argument: If Benji's parents buy him a puppy for Christmas, he learns important care-giving skills.
Benji learns important care-giving skills. So, Benji's parents buy him a puppy for Christmas. What is the logical form of
this argument?
O a. Modus Ponens
O b. Hypothetical Syllogism
O c. Disjunctive Syllogism
O d. Denying the antecedent
O e. Affirming the consequent
e. Affirming the Consequent. The argument takes the form of "If P then Q. Q, therefore P."
What is Consequent?Consequent is an outcome or result of an event, action, or decision. It is the result of a cause or premise. Consequents are usually expected and predictable, and can be measured or observed. Consequents are important in the study of cause and effect relationships and can be used to determine the success or failure of certain actions. Consequents can also be used to measure the degree of success or failure of certain objectives. Consequents are often used in decision-making, as well as in research and problem-solving, to help determine the best course of action and the best solution.
In other words, the conclusion (Benji's parents buy him a puppy for Christmas) is based on the premise that Benji learns important care-giving skills.
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Suppose you have $600 to invest in a savings plan, and you want to compare 4 different ways you could invest the money.
Round answers to the nearest cent
Method 1: Find the balance after one year if you deposit all the money into an account that pays $2.50 in simple interest each month (this is a simple interest equation where the amount of interest stays the same each month).
Number
Method 2: Find the balance after one year if you deposit all the money into an account that pays 5% APR with monthly compounding.
Number
Method 3: Suppose if, instead of depositing the $600 all at once, you deposit nothing at the beginning and you divide up the $600 into 12 envelopes each with $50.
Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding.
Number
Method 4: Suppose if, instead of depositing the $600 all at once, you make an initial deposit of $300 into an account that pays 5% APR at the beginning of the year and then you divide up the remaining $300 into 12 envelopes each with $25.
Find the balance after one year for the initial deposit of $300, if you also deposit one $25 envelope each month, all year, into the account that pays 5% APR with monthly compounding.
Number
Therefore , the solution of the given problem of interest comes out to be $630 , $659.15 , $638.89 and $345.57 .
What does interest actually mean?To determine simple interest, divide the sum by the cost of borrowing, the amount of time left, and other factors. Principal plus interest plus hours is the straightforward return strategy in marketing. The simplest approach to calculate interest is to use this method. The most popular method of calculating revenue is as a fraction of the principal amount.
Method 1: A basic interest rate of $2.50 per month for a year equals
=> $2.50 x 12 = $30 in interest.
The balance after a year equals $600 plus $30, or $630.
Response: $630
Step 2: Divide the monthly interest rate by 12 to get 0.4167%
Amount after a year:
=> $600 multiplied by (1 + 0.004167)/12 to arrive at $659.15
Response: $659.15
Option 3: $50 per month in deposits
Interest rate per month: 5% divided by 12 Equals 0.4167%
Surplus at the end of the year is equal to
=> $50 x (((1 + 0.004167)12 - 1) / 0.004167) x (1 + 0.004167) = $638.89
Response: $638.89
Method 4: Initial investment of $300, subsequent deposits of $25, and an interest rate of 5% divided by 12 equals 0.4167%.
Amount at the end of the year equals
=> $300 x (1 + 0.004167)12 + $25 x (((1 + 0.004167)12 - 1) / 0.004167) x (1 + 0.004167) = $345.57
Response: $345.57
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Use the diagram to find the following angle measures.
When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.
SOLUTION
Which ratio is equivalent to 3 : 18?
Answer:
6:36
this is when you time both by 2.
The ratio is equivalent to 3:18 is 7:42.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ratio = 3:18
= 1:6
1. 6:21
= 3:7
2. 5:20
= 1:4
3. 7:42
= 1:6
4. 12:2
= 6:1
Hence, the ratio is equivalent to 3:18 is 7:42.
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25 POINTS PLS HELP What is the arc length of an arc with radius 18 inches and central angle 22°? Leave the answer in
terms of . Show your work.
The arc length of the arc is (11/5)π inches, or approximately 6.926 inches (rounded to three decimal places).
We may use the following formula to determine the arc length of an arc having a radius of 18 inches and a centre angle of 22°:
(Central angle / 360°) x (2r) Equals arc length
where r denotes the arc's radius.
Inputting the values provided yields:
arc length is equal to (22°/360°) x (2x18 inches).
arc length is equal to 11/180 times 36 inches.
11.5 inches is the length of an arc.
As a result, the arc's length is (11/5) inches, or roughly 6.926 inches (rounded to three decimal places).
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Whats the prime factorization of 9. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answer:
9 = 3 x 3
Explanation:
A newsgroup is interested in constructing a 99% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 553 randomly selected Texans surveyed, 391 were in favor of the initiative and of the 529 randomly selected New Yorkers surveyed, 462 were in favor of the initiative.
a. With 99% confidence the difference in the proportions of Texans and New Yorkers who favor a new Green initiative is between
(round to 3 decimal places) and
(round to 3 decimal places).
b. If many groups of 553 randomly selected Texans and 529 randomly selected New Yorkers were surveyed, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population proportion of the difference in the proportions of Texans and New Yorkers who favor a new Green initiative and about
percent will not contain the true population difference in proportions.
Thus, there is a 99% chance that the gap between Texas and New equation Yorkers' support for a new green programmed is between -0.218 and -0.114.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
a. Using the method below, we can create a 99% confidence interval for the difference between the percentages of Texas and New Yorkers who support a new green initiative:
CI is equal to[tex](p1 - p2) (p1(1-p1)/n1 + p2*(1-p2)/n1) \sqrt.[/tex]
where: 391/553 = 0.7077, where p1 is the percentage of Texans that support the measure.
462/529 = 0.8737, where p2 is the percentage of New Yorkers who support the measure.
n1 is the sample size for Texas, which is 553; n2 is the sample size for New Yorkers, which is 529; and z is the z-score, which is 2.576 at 99% confidence level.
CI is calculated as[tex](0.7077 - 0.8737) 2.576\sqrt(0.7077(1-0.7077)/553 + 0.8737*(1-0.8737)/529).[/tex]
CI = (-0.166 ± 0.052)
Thus, there is a 99% chance that the gap between Texas and New Yorkers' support for a new green programme is between -0.218 and -0.114.
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