The probability she chooses a number greater than 5 will be 1/2 or 0.5.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Probability = (Favorable event) / (Total event)
Eleanor randomly decides a number from 1 to 10.
Then the probability she chooses a number greater than 5 will be
Total event = 10
Favorable event = 5 {6, 7, 8, 9, 10}
Then we have
P = 5/10
P = 1/2
P = 0.5
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answer must be in simplest form
The trigonometric ratios shows that the cos M is 4/5.
RIGHT TRIANGLE
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: [tex]hypothenuse^2=(leg_1)^2+(leg_2)^2[/tex] . And the main trigonometric ratios are: sin [tex]\alpha[/tex], cos [tex]\alpha[/tex] and tan [tex]\alpha[/tex], where:
[tex]sin \alpha =\frac{opposite\;leg}{hypotenuse} \\ \\ cos \alpha =\frac{adjacent\;leg}{hypotenuse} \\ \\ tan \alpha =\frac{opposite\;leg}{adjacent\;leg}[/tex]
For finding the cos M, firstly, you should find the side MN from Pythagorean Theorem.
[tex]hypothenuse^2=(leg_1)^2+(leg_2)^2\\ \\\ 30^2=18^2+(MN)^2\\ \\ 900=324+(MN)^2\\ \\(MN)}^2=900-324\\ \\ (MN)^2=576\\ \\ MN=24[/tex]
If MN=24, the cos M will be
[tex]cosM =\frac{adjacent\;leg}{hypotenuse} =\frac{24}{30} =\frac{4}{5}[/tex]
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Describe the correlation in terms of strength (weak or strong) and direction positive or negative).
The description of the correlation in terms of strength (weak or strong) and direction positive or negative) is as explained below.
How to Interpret Correlation Problems?
A correlation coefficient, is expressed as r and it indicates a measure of the direction and strength of a relationship between two variables.
Now, in terms of strength, Correlation strength ranges from -1 to +1. Thus, The closer the correlation is to 0, the weaker it is while the closer it is to ±1, the stronger it is.
Now, in terms of direction;
A correlation of +1 indicates a perfect positive correlation which tells us that both variables move in the same direction together. A correlation of –1 indicates a perfect negative correlation, which tells us that as one variable goes up, the other goes down.A zero correlation suggests that the correlation statistic does not indicate a relationship between the two variables.Read more about Correlation at; https://brainly.com/question/4219149
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Solve using a proportion.
Jasmine uses 4 inches of tape to wrap 5 presents. How many inches of tape will Jasmine use to wrap 15 presents?
A. 12 inches
B. 10 inches
C. 15 inches
D. 14 inches
(49p2–490p) ÷(p–10)
please help!!
Answer:
(49p2–490p) ÷(p–10)
Step-by-step explanation:
blem Sets Questions
e the questions below. Show your work.
1. Mike and Juan are going on a road trip for graduation. Together they have $300 dollars to spend on a
rental car. If the company charges a flat fee of $50 plus $0.75 a mile, how many miles can they travel
and still be within their budget?
Answer:
333.33 miles
Step-by-step explanation:
Let x be the number of miles Mike and Juan drive.
They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300. The mileage fee will be ($0.75/mile)*(x miles driven). Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.
$300 - $50 - ($0.75)x = 0
$250 - ($0.75)x = 0
- ($0.75)x = -$250
x = -($250)/(-$0.75)
x = 333.33 miles
CHECK:
Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?
Rental Fee: $50
Mileage: ($0.75/mile)*(333.333 miles) = $250
Total Cost: $300 YES
Nothing left for burgers,
helppppppppp markingbrainliest
a)
x×3+4=22
b)
x×3+4=22
x×3=22-4
x×3=18
x=18÷3
x=6
Hope it helps
Answer:
x=6
Step-by-step explanation:
your equation would be X * 3 + 4 = 22
to solve you subtract four from both sides then divide three by both sides because you do the opposite of the sign thats there and you get x= 6! i hope this helped
Finding the LCM of algebraic term and algebraic expressions.
Answer:
The LCM is made by multiplying all factors included in the factoring of the given expressions. Common factors are used once only and the one with the highest power is used. x + 3 is a factor in the first expressions is therefore used.
Step-by-step explanation:
What is the factored form of 50x^2-8
Answer:
2(5x-2)(5x+2)
Step-by-step explanation:
Determine the values for the pronumerals that make the following piece-wise functions continuous. (I really need help please).
Step-by-step explanation:
A function is continuous at x is
Limit as x approaches c= f(c).
Step 1: Find f(4).
4 is defined for 2x-1 so plug in. 4 for x.
[tex]2(4) - 1 = 7[/tex]
Note that what we just calculated was not only f(4) but also the left sided limit of f(x).
Step 2: Make sure the left sided and right sided limit are equal to 7.
[tex]a + 5x = 7[/tex]
Plug in 4 for x
[tex]a + 5(4) = 7[/tex]
[tex]a = - 13[/tex]
Can I take a picture of the problem and upload for you to see?
Which function is graphed below?
Answer: The second option, y = 3(1/3)^x
Step-by-step explanation: Input each equation into a graphing calculator (preferably GeoGebra online) and check the answer. I linked the equation, but make sure to check anyway just in case :)
Giving brainliest
Determine the current temperature in degrees Fahrenheit if the current temperature is 32 degrees Celsius in Lima, Peru. Round the final answer to the nearest whole number.
32
56
90
103
Answer:
The answer is 90.
Thank you
Answer:
89.6
Step-by-step explanation:
The formula to convert Celsius to Fahrenheit is given by °F = °C × (9/5) + 32
F = [ C × (9/5) + 32 ]
Given that, C = 32
F = 32 × (9/5) + 32
F = 32 [ 1 + (9/5) ]
F = 32 [ 1 + 1.8 ]
F = 32 × 2.8
F = 89.6
What is the formula for the margin of error?
Answer:
[tex]ME =\frac{z*s}{\sqrt{n}}[/tex]
Step-by-step explanation:
In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings
To find margin of error, you need
Get the population standard deviation (σ) and sample size (n)n = sample size
Take the square root of your sample size and divide it into your population standard deviationσ = population standard deviation Multiply the result by the z-score consistent with your desired confidence interval according to the following table:z = z-score
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3(2x − 8) – 11x ......
Answer:
-5x-24
Step-by-step explanation:
3(2x-8)-11x
Use distributive property.
6x-24-11x.
Combine like terms.
6x-11x-24=-5x-24
-5x-24
Hope this helps!
If not, I am sorry.
Answer:
-5x - 24
Step-by-step explanation:
3(2x − 8) – 11x =
Distribute the 3, then combine like terms.
= 6x - 24 - 11x
= -5x - 24
Which equation completes the system that is satisfied by the solution (1, 1)?
02x+y = 2
O4x - 2y = 2
02x - 2y = 2
Ox+y = 4
Answer: B. 4x-2y=2
Step-by-step explanation:
We will work this out one by one. Plug in the x and y values of the solution to the equations and you will see which one is true or false.
A. [tex]2(1)+y(1)=2\\2+1\neq 2[/tex] B. [tex]4(1)-2(1)=2\\4-2=2[/tex]
C. [tex]2(1)-2(1)=2\\2-2\neq 2[/tex] D. [tex]x(1)+y(1)=4\\1+1\neq 4[/tex]
With this information, we see that B is the correct answer.
I hope this helped!! Pls mark brainliest!! :))
An amusement park prices tickets at $55 and sells an average if 500 tickets daily. The management finds, over multiple increases in ticket pricing that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.
Management uses the combined function P to model the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.
P(x) = -40x^2- 100x + 27,500
Use the given Information to complete the sentences.
The constant of the polynomial expression represents the
___ in the price of a ticket.
The binomial (500 - 20x) is a factor of the polynomial expression and represents the ___ in the price of a ticket.
The complete sentence is as follows:
The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increase in the price of a ticket.
The binomial (500 - 20x) is a factor of the polynomial expression and represents the number of tickets sold after x increases of $2 in the price of a ticket.
Given, An amusement park prices tickets at $55 and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.
Management uses the combined function P to model the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.
[tex]P(x) = -40x^2- 100x + 27,500[/tex].
What is the combined function?In mathematics, function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g. In this operation, the function g is applied to the result of applying the function f to x.
We need to use the given information to complete the sentences.
The complete sentence is as follows:
The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increase in the price of a ticket.
The binomial (500 - 20x) is a factor of the polynomial expression and represents the number of tickets sold after x increases of $2 in the price of a ticket.
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The constant of the polynomial expression represents the daily earning of the amusement park before any $2 increase in the price of a ticket, and (500 - 20x) represents the number of tickets sold after x increases by $2.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
An amusement park prices tickets at $55 and sells an average if 500 tickets daily.
The function P(x) represents the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.
Plug x = 0
P(0) = 27500
The above value is the constant of the polynomial function.
The constant of the polynomial expression represents the daily earning of the amusement park before any $2 increases in the price of a ticket.
As the x is the number of $2 increases in the price of a ticket.
Then,
= (500 - 20x) is the binomial that represents the number of tickets sold after x increases by $2
Thus, the constant of the polynomial expression represents the daily earning of the amusement park before any $2 increase in the price of a ticket, and (500 - 20x) represents the number of tickets sold after x increases by $2.
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On a farm, there is a grain silo.The silo is cylindrical with a tile roof. The silo has a diameter of 8 metres and is 6 metres tall. The farmer wants to paint the curved surface of the silo.Each can of paint will cover 20m². The paint costs $11.75 per can. How much will it cost the farmer to paint the silo?
The paint that the farmer needs to paint his Silo will cost $152.75.
How to calculate the price of the paint that the farmer will require?To calculate the value of the total paint that the farmer will require, we must carry out the following procedure:
1. Identify the area you need to paint
2πrh + 2πr²2 * 3.14 * 4m * 6m + 2 * 3.14 *4m² = 251.32m²2. Find how many cans of paint he needs.
251.32m² ÷ 20m² = 12.56That is, he will need 13 cans of paint.
3. Find the price of 13 cans of paint.
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MARKING BRAINLIEST TO FIRST CORRECT ANSWER If quadrilateral JKLM had a translation where all the vertices were in the third quadrant, what would be the coordinates of the vertices?
If quadrilateral JKLM were in third quadrant then the coordinates will be (-1,0),(-4,-1),(-4,-2)(-1,-2)
Given Quadrilateral JKLM is in fourth quadrant and coordinates (1,0),(4,-1),(4,-2)(1,-2)
We know that the coordinates of x used to negative in third quadrant and positive in fourth quadrant. Coordinates of y used to negative in third and fourth quadrant.
So in order to change the coordinates from fourth to third we need to change the coordinates of x axis to negative and the coordinates will be :
Coordinates of J will change from (1,0) to (-1,0)
Coordinates of K will change from(4,-1) to (-4,-1)
Coordinates of L will change from (4,-2) to (-4,-2)
Coordinates of M will change from (1,-2) to (-1,-2).
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Triangle ABC has vertices at A(1,2), B(4,0) and C(1,-4) Find the area of triangle ABC.
PLEASE EXPLAIN HOW YOU DID IT
The area of triangle ABC from the given vertices is gotten as; 7.5
How to find the area of a triangle?We are given the vertices of the triangle as;
A(1, 2)
B(4, 0)
C(1,-4)
The formula for area of a triangle with 3 vertices is;
Area = ¹/₂[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
Thus;
Area = ¹/₂[1(0 + 4) + 4(-4 - 1) + 1(1 - 0)]
Area = ¹/₂(4 - 20 + 1)
Area = -7.5
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A ship is stationary at sea.
A tugboat is 36 km away at a bearing of 130°, and a yacht is 27 km from the tugboat at a bearing of 260°.
Draw a scale diagram showing the positions of the three vessels.
Use a scale of 1 : 450,000.
Measure the distance from the ship to the yacht to the nearest km.
Bearing is a topic that deals with the distance and location of a given object with respect to a reference point. Thus in the given question, the ship is 57.23 km to the yacht.
Bearing is a topic that considers the distance and position of a given object with respect to a reference point. Thus the angles are usually measured with reference to the north pole.
Thus to solve the given question, let the required distance be represented by x.
Applying the cosine rule, we have;
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos C
The angle C between the line from ship to tugboat and from tugboat to yacht can be determined as;
C = [tex]10^{o}[/tex] + [tex]40^{o}[/tex]
C = [tex]50^{o}[/tex]
Thus,
[tex]c^{2}[/tex] = [tex]36^{2}[/tex] + [tex]27^{2}[/tex] + 2(36 x 27) Cos [tex]50^{o}[/tex]
= 1296 + 729 + 1944(0.6429)
= 2025 + 1249.8
[tex]c^{2}[/tex] = 3274.8
c = [tex]\sqrt{3274.8}[/tex]
= 57.2259
c = 57.23
Therefore, the distance from the ship to the yacht is 57.23 km.
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Kindly contact a 1-on-1 tutor if more explanations are needed.
Which congruence theorem can be used to prove ?
Answer:
ASA
Step-by-step explanation:
by ASA congruence theorem
The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years. Which of the following is an appropriate line of best fit?
The equation of the appropriate line of best fit is y = 1.25x + 2
How to determine the line of best fit?Start by drawing a line through the points (see attachment)
From the attached graph, we have:
(x, y) = (0,2) and (4,6.5)
Calculate the slope (m) using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (6.5 - 4)/(2 - 0)
Evaluate
m = 1.25
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1.25(x - 0) + 2
Expand
y = 1.25x + 2
Hence, the equation of the appropriate line of best fit is y = 1.25x + 2
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.A bacteria culture grows at a rate of 20%
per minute. If the culture initially has 3,200
bacteria specimens, how many specimens
would be in the culture after 5 minutes?
The number of the specimens would be in the culture after 5 minutes will be 7,962.62.
What is an exponent?Consider the function:
y = a (1 + r) ˣ
Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.
A bacteria culture grows at a rate of 20% per minute.
If the culture initially has 3,200 bacteria specimens.
Then the equation will be
y = 3200 (1 + 0.2) ˣ
y = 3200 (1.20) ˣ
Then the number of the specimens would be in the culture after 5 minutes will be
y = 3200 (1.20)⁵
y = 7962.62
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It’s math can you guys help me out 10 points:)
Answer:
90 liters
Step-by-step explanation:
According to the graph in order to gain $36 you must sell 90 liters. Hope this helps :)
Which of the following terms is defined as 1/sin?
Answer: cosecant
Formula's are:
Secant:
1/cos(x) = sec(x)
Cosecant:
1/sin(x) = cosec(x)
Cotangent:
1/tan(x) = cos(x)/sin(x) = cot(x)
A similarity transformation maps AABC to AJKL The measure of ZA of prelmage AABC Is 105°. The scale factor of the dilation in the similarity
transformation is 1.5. If ZA In the prelmage corresponds to ZJ in the image, what is m
a 70°
b 140°
c 105°
d 35°
its reserved.
Answer:
The answer is 105.
Step-by-step explanation:
Please help fast!!
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
[tex]3 \times \frac{2}{5} [/tex]
Answer:
[tex]1\frac{1}{5}[/tex]
Step-by-step explanation:
3 = 3/1
(multiply top and bottom separately for fractions)
[tex]\frac{3}{1}[/tex] × [tex]\frac{2}{5}[/tex] = [tex]\frac{6}{5}[/tex]
[tex]\frac{6}{5} = \frac{5}{5}+\frac{1}{5}= 1\frac{1}{5}[/tex]
Answer:
1 1/5Step-by-step explanation:
3×2/5multiplying three (3) and two(2) and express the product of three and two over five.
6/5five can enter in six three times , remainder 1
The fraction in lowest terms is one whole number , one over five.
1 1/5Probability of Next Candy
Fill in the chart below with the probability of choosing the next candy.
Answer:
8 is correct.
Mark as brainlist, thanks me, and rate. Hope it helps you!!!
When you multiply a number by 12 and subtract the product from 360, the difference is 216. Find the number.
The equation will be 12a – 360 = 216. Then the value of the variable a will be 48.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
When you multiply a number by 12 and subtract the product from 360, the difference is 216.
Let the number be a.
Then we have the equation
12a – 360 = 216
By solving the equation, we have
12a = 216 + 360
12a = 576
a = 576/12
a = 48
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The product (
[tex](a+b)(a-b) = a^2 - ab + ba - b^2 = a^2 - b^2[/tex]
Since the middle terms cancel each other out, what is left is the difference of two squares.
In your example (x+6)(x-6) = x² -36