Answer:
6/11
Step-by-step explanation:
Mammal - yes
Giraffe - no
Seal - no
Mouse - no
Cat - no
Tiger - no
Bat - yes
Can fly - yes
Swan - yes
Lizard - no
please help me!!! i need to pass this assignment! Find P(4) and P(2).
Answer:
1/4
Step-by-step explanation:
The probability of the spinner landing on any one number = 1/8 since there are 8 possible outcomes and we are looking for the probability of one outcome out of those
So P(2) = P(4) = 1/8
P(4) and P(2) is the sum of these two probabilities = 1/8 + 1/8 = 2/8 = 1/4
Find CE.. please help asap
The length of side CE is 5/6 units
How to determine the length CEFrom the question, we have the following parameters that can be used in our computation:
The triangle
On the triangle, we have the following ratio
x - 2 : 2 = x + 1 : 8
Express as fraction
(x - 2)/x = (x + 1)/8
So, we have
8x - 16 = 2x + 1
Evaluate the like terms
6x = 17
So, we have
x = 17/6
The value of CE is
CE = x - 2
CE = 17/6 - 2
So, we have
CE = 5/6
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[PLS HELP WILL GIVE BRAINLIEST!!]
Given that sin θ = – 4/9 and 3π/2 ≤ θ ≤ 2π, find cot θ.
Answer:
Step-by-step explanation:
Given that sin θ = -4/9 and 3π/2 ≤ θ ≤ 2π, we can use the trigonometric identities to find cot θ.
cot θ = 1/tan θ = 1/ (sin θ / cos θ) = cos θ / sin θ
As we know the sin θ = -4/9, we can find cos θ = √(1 - sin^2 θ) = √(1 - (-4/9)^2) = √(1 - 16/81) = √(65/81)
So cot θ = (√(65/81)) / (-4/9) = -9/4 * √(65/81) = -(9/2) √(65/81)
Note that, since 3π/2 ≤ θ ≤ 2π, the value of cot θ will be negative
(a) How many vectors (x1, x2, x3, . . . , xn) are there for which each xi is either 0 or 1 andx1 + x2 + · · · + xn = k.(b) Do the same problem as before but under the condition thatx1 + x2 + · · · + xn ≥ k.
(a) Each xi in the vector (x1, x2, ..., xn) can be either 0 or 1.
Therefore, there are 2 possibilities for each xi.
The number of vectors that can be formed by combining these values is equal to the number of combinations of 2 possibilities, taken n times.
The number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n is 2^n.
the same problem as before but under the condition thatx1 + x2 + · · · + xn ≥ k,
This is equivalent to 2^n. For example, if n = 2, then there are 2 possibilities for x1 (either 0 or 1) and 2 possibilities for x2 (either 0 or 1). The total number of vectors that can be formed is 2 * 2 = 2^2 = 4. In general, the number of vectors that can be formed is equal to 2^n.
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The complete question is :-
determine the number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n.
There is a proportional relationship between hours, x, and number of miles, y, of water in a tank. The point (2, 80) is on a graph of this relationship. Part A: Explain what the point (2, 80) represents. Part B: Write an equation for the relationship in the form of y = mx.
(A) The point (2, 80) represents that at 2 hours there are 80 miles of water in a tank.
(B) Writing an equation for the relationship in the form of y = mx, we get y = 40x.
What is Proportionate Relationship?
Relationships between two variables where their ratios are equal are known as proportional relationships.Two quantities that directly vary from one another are said to be in a proportionate relationship. If y = mx, for some constant m referred to as the constant of proportionality, then we say the variable y fluctuates directly as x.Accordingly, the ratio between x and y always remains the same and as x rises, y rises, and as x falls, y falls.The proportional relationship equation has a straight line across the origin as its graph.It is given that there is a proportional relationship between hours, x, and number of miles, y, of water in a tank.
Also, the point (2, 80) is on a graph of this relationship.
(A) The point (2, 80) represents that at 2 hours there are 80 miles of water in a tank.
(B) We have the given point, (2, 80)
Writing the relationship in the form of equation, y = mx using the point (2, 80), we get
80 = m × 2
⇒ m = 80/2
⇒ m = 40
Thus, writing an equation for the relationship in the form of y = mx when m = 40, we get y = 40x.
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Graph a line that contains the point ( 6 , − 5 ) and has a slope of -2/3
Answer: this is the answer it is a screenshot of the graph
Suppose that a and b are nonzero vectors.
a) Under what circumstances is compa b=compb a
b) Under what circumstances is proja b=proj b a
a) The vectors a and b are collinear when compa b=compb a. This means that they have the same direction, so that they're pointing in the same direction or opposite directions. In other words, if the angle between them is 0° or 180°, then they are collinear.
b) The vectors a and b are orthogonal when proja b=proj b a. This means that they are perpendicular to each other, so that the angle between them is 90°. Furthermore, it means that the projection of one vector onto the other is equal to zero.
This is because the projection of a vector onto itself is equal to the magnitude of the vector, while the projection of a vector onto a vector orthogonal to it is equal to zero.
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A stock valued at 100$ decreases by 2% each year
Answer:
2%
Step-by-step explanation:
The tape diagram shows that Rita answered 14 questions correctly on a post-test. Rita learned a lot in this unit, so that was 350\%350%350, percent as many questions as she answered correctly in the pre-test.
A tape diagram with one tape split into 7 equal parts. All 7 parts are shaded. A curved brace above the whole tape is labeled 14. A curved brace below the whole tape is labeled 350 percent.
A tape diagram with one tape split into 7 equal parts. All 7 parts are shaded. A curved brace above the whole tape is labeled 14. A curved brace below the whole tape is labeled 350 percent.
Complete the table to show different percentages of the questions Rita answered correctly on the pre-test.
Number of questions correct Percentage
350\%350%350, percent of the correct pre-test questions
50\%50%50, percent of the correct pre-test questions
100\%100%100, percent of the correct pre-test questions
350% of the correct pre-test questions - 7
50% of the correct pre-test questions - 1
100% of the correct pre-test questions - 2
What is Tape Diagram?A diagram that resembles a piece of tape that is used to show how numbers relate to one another. Also known as length model, fraction strip, bar model, and strip diagrams.
Given:
There are 7 units to represents 14 Questions and 350%.
So, 14/7 = 2 and 350/ 7= 50%
one unit represent 2 questions and 50%.
and, 2 units represents 4 questions and 100%.
then, 350% of the correct pre-test questions - 7
50% of the correct pre-test questions - 1
100% of the correct pre-test questions - 2
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the volume of a container is found to be 38.5 in3. what is the volume in units of cm3?
The volume of a container is found to be 38.5 in³. Its volume in units of cm³ will be 630.902 cm³.
Unit conversion is a process with multiple steps involving multiplication or division by a numerical factor, particularly a conversion factor. The procedure may also demand the selection of the correct number of substantial digits and rounding. Different units of conversion are used to calculate different parameters.
We convert the units of any quantity to understand better. For example, the length of a table is measured in inches; on the other hand, the length of a garden is measured in yards to make it simple to comprehend. We cannot calculate the length of a finger in miles.
To create a formula to convert 38.49 in³ to cm³, we start with the fact that 1 inch is 2.54 centimetres, which means that you multiply inches by 2.54 to get centimetres. We can therefore make the following equation:
inches × 2.54 = centimeters
(inches × 2.54)³ = centimeters³
inches³ × 16.387064 = centimeters³
in³ × 16.387064 = cm³
Now that we have the in³ to cm³ formula, we can calculate and convert 38.5 in³ to cm³. Here is 38.5 in³ converted to cm³, along with the math and the formula:
= in³ × 16.387064
= 38.5 × 16.387064
= 630.902 cm³
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Fill in the missing values in the formula. What is the variance?
0
3.217
3.522
12.405
148.86
Answer:12.405 would be correct
Step-by-step explanation:
What is variance?In probability theory and statistics, variance is the squared deviation from the mean of a random variable. The variance is also often defined as the square of the standard deviation. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value
The variance is a measure of variability
Therefore c is your answer!
Assume that you graph lines f and g on the same coordinate plane and they intersect at point (4, 5). Which of the following statements is NOT true.
Assuming you graph lines f and g on the same coordinate plane and they intersect at point (4, 5), a statement which is not true include the following: D. Other points that are on line f are also solutions of the system.
What is a point of intersection?In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair containing the point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.
Based on the graph of the lines representing the system of equations, we can reasonably and logically deduce that the correct solution set lies in Quadrant I and it is denoted by the point of intersection of both the x-axis and y-axis, which is given by the ordered pair (4, 5).
In conclusion, the ordered pair (4, 5) is a solution to the system of equations and it is located on both lines f and g.
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the temperature outside was 88 degrees fahrenheit. what would be the temperature is it is increased by %25
Answer:
110.0%
Step-by-step explanation:
25% of 88 is 22. 88+22=110 Fahrenheit
to get this you divide 88 by 100 which is 0.88, then multiply by 25 which gets you 22.
What is the area of the kite?
A kite with both diagonals is shown. The diagonals intersect each other so that the shorter diagonal is split into parts that are 2 feet and 2 feet and the longer diagonal is split into parts that are 10 feet and 20 feet.
please show work
the area of the given kite will be 60 feet².
What is area of Kite?
A polygon with four vertices and four sides enclosing four angles is called a quadrilateral. A unique quadrilateral known as the kite has successive sides that are all congruent, but the opposite sides are not. A rhombus is a kite that has four congruent sides. A kite's diagonals are perpendicular. The area of a kite is calculated as half of the diagonal product, which is the same as the area of a rhombus. The formula: can be used to express the area of a kite.
Area of Kite = 1/2*D1 * D2
D1 = long diagonal of kite
D2 = short diagonal of kite
The diagonals intersect each other so that the shorter diagonal is split into parts that are 2 feet and 2 feet and the longer diagonal is split into parts that are 10 feet and 20 feet.
So Area = 1/2 * 4 * 30 = 60 feet²
Hence the area of the given kite will be 60 feet².
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Use the Binomial Theorem to expand (a+b)^15. You can use your calculator to determine the coefficient. Show the step.
What is the value of x?
X =
33°+19x=90°
Answer:
3°
Step-by-step explanation:
33 +19x = 90 subtract 33 from both sides of the equation
19x = 57 divide both sides by 19
x = 3°
After 16 years in an account with a 6.2% annual interest rate compounded continuously, an investment is worth a total of $58,226.31. What is the value of the principal investment? Round the answer to the nearest penny.
The value of the principal investment is $21,597.30. The solution has been obtained by using the concept of compound interest.
What is compound interest?
When interest is calculated, both the principal and the interest that has accumulated over the previous period are used. Compound interest accounts for the principal when calculating the interest for the subsequent month, as opposed to simple interest, which does not. In algebra, the letter C.I. is frequently used to denote compound interest.
We are given that after 16 years in an account with a 6.2% annual interest rate compounded continuously, an investment is worth a total of $58,226.31.
This means that
P(t) = $58,226.31
t = 16 years
r = 6.2%
We know that formula for continuous compounding interest is
[tex]P(t) = P_{0} e^{rt}[/tex]
So, using this, we get
⇒58,226.31 = Pe^(0.062*16)
⇒58,226.31 = Pe^(0.992)
⇒58,226.31 = P*2.696
⇒P = $21,597.30
Hence, the value of the principal investment is $21,597.30.
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a jar of crunchy peanut butter contains 1.41 kg of peanut butter. if you use 8.0 % of the peanut butter for a sandwich, how many ounces of peanut butter did you take out of the container? express your answer to two significant figures.
A kilogram is a unit of mass in the metric system and is often used to measure the weight of food items. One kilogram is equivalent to 35.27 ounces. To determine how many ounces of peanut butter you used for your sandwich, you need to convert the mass in kilograms to ounces.
In this case, the jar contains 1.41 kg of peanut butter. To find the amount of peanut butter you used, you multiply the total amount by the percentage of the peanut butter you used. In this case, 8.0% of 1.41 kg is 0.11 kg of peanut butter.
Finally, you convert the 0.11 kg of peanut butter to ounces using the conversion factor of 35.27 ounces per kilogram. So 0.11 kg * 35.27 oz/kg = 3.88 ounces of peanut butter.
This answer is expressed to two significant figures because the original mass of the peanut butter is given to two significant figures (1.41 kg) and the percentage of peanut butter used is also given to two significant figures (8.0%).
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how to write an expression for csc[arccos(x -1)]
An algebraic expression which is equivalent to the expression
csc[arccos(x -1)] is equal to 1 / √2x - x² .
Let us consider the expression arccos(x - 1 ) = y .
arccos(x - 1 ) = y
⇒ cos y = (x - 1 ) ___( 1 )
Now the required algebraic expression is equivalent to :
csc[arccos(x -1)]
= csc y
= ( 1 / sin y )
= 1 / √ 1 - cos²y __(2)
Substitute the value of cosy from (1 ) in the expression ( 2 ) we get,
= 1 / √ 1 - ( x - 1 )²
= 1 / √ 1 - ( x² -2x + 1 )
= 1 / √ 1 - x² + 2x - 1
= 1 / √ 2x - x²
Therefore, the expression csc[arccos(x -1)] is equivalent to an algebraic expression is 1 / √ 2x - x².
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someone help please. i need to turn this in tomorrow. Question is in the picture!
Answer: A=4.5m²
Step-by-step explanation: length: 1.5 Width: 300
Unit Conversion:l=1.5mw
A=wl=3·1.5=4.5m²
what is the missing number ? : 7 = 45 : 63
Answer:
5
Step-by-step explanation:
Math on the Spot The distance between Professor Burger's house and Chris' house is 12 miles. Lila's house is on the way from Professor Burger's house to Chris' house. The distance between Lila's house and Chris' house is 5 miles. Write and solve an equation to find the distance x between Professor Burger's house and Lila's house.
The equation to find the distance between Professor Burger's house and Lila's house is x + 5 = 12 and the solution of the equation is 7 miles.
Distance between Professor Burger's house and Chris' house = 12 miles
Lila's house falls between Professor's house and Chris' house.
Distance between Lila's house and Chris' house = 5 miles
Let's assume x to be the distance between Professor Burger's house and Lila's house.
Thus the equation to solve this problem will be
x + 5 = 12
The next step will be,
x = 12 - 5
x = 7
Therefore, the distance between Professor Burger's house and Lila's house is 7 miles.
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If Zis the centroid of ∆RST, RZ= 42, ST= 74, TW = 51, and ZY= 23, find each measure.
The parallel segments are MN & LK, MP & JK and NP & JL
The side lengths are listed below and the perimeter is 84 units
How to name the parallel segmentsBy definition, parallel segments are segments that extend indefinetely and do not meet
Using the above as a guide, we have the following:
Segments MN and LK are parallelSegments MP and JK are parallelSegments NP and JL are parallelThe lengths of the segments
The midsegments are given as
MP = 17, LK = 24 and PN = 13
This means that
JK = 2 * MP
JK = 2 * 17
JK = 34
Also, we have
MN = 1/2 * LK
MN = 1/2 * 24
MN = 12
Lastly, we have
JL = 2 * PN
JL = 2 * 13
JL = 26
For the perimeter, we have
Perimeter = JK + LK + JL
Perimeter = 34 + 24 + 26
Perimeter = 84
Hence, the perimeter is 84 units
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20 newspapers in 4 piles = 15 newspapers in
piles
The number of piles when the newspaper is 15 will be 3.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
20 newspapers in 4 piles.
We know that the ratio of the newspaper to pile is constant. Then 15 newspapers in piles will be given as,
15 / x = 20 / 4
15 / x = 5
x = 15 / 5
x = 3
The number of piles when the newspaper is 15 will be 3.
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A tour guide needs one vehicle to transport 14 tourists.calulate how many vehicles like this are needed to transport 34 tourists
Answer:
Step-by-step explanation:
As stated in the question that One vehicle transports 14 tourists and there are 34 tourists
Number of vehicles required = 34/14 = 2 vehicles + 6 people left
So, the remaining 6 people will be transported through 3rd vehicle.
So, there are 3 vehicles needed to transport 34 tourists.
a rectangle is 8 km longer than it is wide. find the dimensions of the rectangle if its area is 345 sq-km.
The length of the rectangle is 23 km and the width of the rectangle is 15 km.
A rectangle is 8 km longer than it is wide.
Its area is 345 sq-km.
Let the width of the rectangle is x.
The length is 8 km longer than the width.
So the width of the rectangle is x + 8 km.
The formula of the area of rectangle is:
A = length × width
We know A = 345 sq-km.
Now putting the value
x × (x + 8) = 345
Now simplifying
x^2 + 8x = 345
Subtract 345 on both side, we get
x^2 + 8x - 345 = 0
Now factor the equation
x^2 + (23 - 15)x - 345 = 0
x^2 + 23x - 15x - 345 = 0
x(x + 23) - 15(x + 23) = 0
(x - 15)(x + 23) = 0
Now equation the factor equal to zero.
x - 15 = 0 or x + 23 = 0
x = 15 or x = -23
Since the dimension of the rectangle can't be negative. So
The width of the rectangle is 15 km.
Now we determine the value of length
x + 8 = 15 + 8 = 23
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solve for y please: 3/y-4 = 4/5
Answer:
7.75
Step-by-step explanation:
Multiply y-4 both sides
(y-4) 3/y-4 =4/5(y-4)
3=4/5(y-4)
3/(4/5)=y-4
(3/(4/5))+4
Put in calculator
y=31/4
y=7.75
Answer:
y = 7.75
Step-by-step explanation:
3 = 4/5 x y-4
3x5 = 4 x y-4
15 = 4y-16
15+16 = 4y
31/4 = y
y = 7.75
write down the bearing in both compass bearing and three figure bearing
The compass bearing measure is N60°E and the three figure bearing measure is 060°
Reading the measurement of a bearingFrom the question, we ae to write the measurement of the bearing in both compass bearing and three figure bearing
Compass bearing
The line is between the North and E poles. The line measures 60°. Therefore, N60°E.
Hence, the compass bearing measure is N60°E
Three figure bearing
Reading from the North pole in the clockwise direction, the bearing of the line is 60°.
Hence, the three figure measure is 060°
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Find the sum of the first 20th term of a linear sequence 1,5,9,13
Answer:
Step-by-step explanation:
The sum of the first 20 terms of a linear sequence can be found using the formula for the sum of an arithmetic series:
S = n/2 * (a1 + a20)
where n = number of terms = 20, a1 = first term = 1, and a20 = 20th term = 1 + 4 * (20 - 1) = 77
Substituting these values, we have:
S = 20/2 * (1 + 77) = 20/2 * 78 = 20 * 39 = 780
So, the sum of the first 20 terms of the sequence 1, 5, 9, 13 is 780.
Find the circumference and the area of a circle with a radius of 9mm.
Write your answers in terms of pi, and be sure to include the correct units in your answers.
