Determine whether the ratios 1:1 and 6:6 are equivalent
Answers
Answer:
its is because if you divide 6:6 by 6 it equals 1:1
Step-by-step explanation:
plz brainliest i need it to rank up
Answer:
They are equivalent
Step-by-step explanation:
1:1 is the same as 6:6 because 6:6 is technically 1:1 when you divide both sides by 6.
Related Questions
In △JKL , if m∠ J < 90° , then ∠K and ∠L are _____
Answers
Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.
An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.
In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.
Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
For more questions on triangle
https://brainly.com/question/1058720
#SPJ8
Please solve, will mark brainliest
Answers
Answer:
6; 3
That is the answer
100 Points! Algebra question. Photo attached. Find the exact value of the expression. Please show as much work as possible. Thank you!
Answers
The exact value of the expression is given as follows:
sin(585º) = \(-\frac{\sqrt{2}}{2}\)
How to obtain the exact value of the expression?The expression in the context of the problem is given as follows:
sin(585º).
The remainder of the division of 585º by 360º is given as follows:
225º.
Hence the expression is given as follows:
sin(585º) = sin(225º).
The angle of 225º is on the third quadrant, where the sine is negative, and the equivalent angle is of 225 - 180 = 45º, hence:
sin(585º) = sin(225º) = -sin(45º) = \(-\frac{\sqrt{2}}{2}\)
More can be learned about equivalent angles at https://brainly.com/question/25716982
#SPJ1
Roselyn is driving to visit her family, who live 150 kilometers away. Her average speed is 60 kilometers per hour. The car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. Fuel costs 0.60 dollars per liter. How long can Roselyn drive before she runs out of fuel?
Answers
Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out
Distance travelled with 20 l of petrol in solution and final answer.
Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.
The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.
Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.
As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.
Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.
To learn more about : distance
https://brainly.com/question/26046491
#SPJ11
Starting at point A, a ship sails 18.9 km on a bearing of 190 degrees and then turns and sails 47.2km on a bearing of 318 degrees. Find the distance of the ship from point A. (Use trigonometry)
Answers
Answer:
Approximately 38.56 kilometers
Step-by-step explanation:
So, from the picture, we want to find x.
To do this, we can use the Law of Cosines. We simply need to find the angle between the two sides and then plug them into the Law of Cosines. First, the Law of Cosines is:
\(c^2=a^2+b^2-2ab\cos(C)\\\)
The c in this equation is our x, and the C is the angle we need to find.
From the picture, you can see that angle C is the sum of the red and blue angles.
From a bearing of 190 degrees, we can determine that the red angle measures 10 degrees. Then by alternate interior angles, the other red angle must also measure 10 degrees.
From a bearing of 318 degrees, the remaining 48 degrees is outside the triangle. However, we have a complementary angle, so we can find the angle inside the triangle by subtracting in into 90. Therefore, the blue angle inside is 90-48=42 degrees.
Therefore, angle C is 42+10 which equals 52 degrees. Now we can plug this into our formula:
\(x^2=a^2+b^2-2ab\cos(C)\\\\x^2=(18.9)^2+(47.2)^2-2(18.9)(47.2)\cos(52)\\x=\sqrt{(18.9)^2+(47.2)^2-2(18.9)(47.2)\cos(52)}\\\text{Use a Calculator}\\x\approx38.5566 \text{ km}\)
A quarterback completes 44% of his passes. Show all work.
a. Construct a probability distribution table (out to n = 6) for the number of passes attempted before the quarterback has a completion?
b. What is the probability that the quarterback throws 3 incomplete passes before he has a completion?
c. How many passes can the quarterback expect to throw before he completes a pass?
d. Determine the probability that it takes more than 5 attempts before he completes a pass.
e. If he throws 8 passes on the opening drive, what is the probability that he made at least half of them?
Answers
a.The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. the probability is 0.1399.
c. the quarterback can expect to throw about 2.27 passes before completing one.
d. the probability is 0.1865.
e. the probability is 0.7349.
what is probability?The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.
a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:
P(X=k) = \((1-p)^{k-1}\)×p
where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.
The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:
P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰
= 0.56²×0.44
= 0.1399
Therefore, the probability is 0.1399.
c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:
E(X) = 1/p
where p is the probability of completion on each attempt.
In this case, p = 0.44, so the expected number of passes is:
E(X) = 1/0.44
= 2.27
Therefore, the quarterback can expect to throw about 2.27 passes before completing one.
d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:
P(X > 5) = 1 - P(X <= 5)
= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]
= 0.1865
Therefore, the probability is 0.1865.
e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:
P(X ≥ 4) = 1 - P(X < 4)
where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.
Using the binomial probability distribution table or calculator, we can find:
P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]
= 0.7349
Therefore, the probability is 0.7349.
To know more about distribution, visit:
https://brainly.com/question/31197941
#SPJ1
What is the 100th term in the sequence 5, 9, 13, 17, 21 ?
Answers
Answer:
401
Step-by-step explanation:
a=5
d=9-5=4
\(a_{n}=a+(n-1)d\\a_{100}=5+(100-1)4=5+400-4=401\)
A dollar bill is 0.0043 inches thick. How many yards high
is a
pile of a million $1 bills
Answers
Hey there! I'm happy to help!
First, let's multiply this thickness by one million to see how many inches this pile is.
0.0043*×1,000,000=4,300 inches
We know that there are 12 inches in a foot and 3 feet in a yard, so there must be 36 inches in a yard.
So, we divide our 4,300 inches by 36 to find how many yards high this pile is.
4300÷36=119 4/9
Therefore, a pile of a million $1 bills is 119 4/9 yards high.
Have a wonderful day! :D
The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Answers
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
5. A group of students were asked whether they play a sport and whether
they like physical education class. The results are in the table.
Like Physical Education
Do Not Like Physical
Education
A 28%
B. 16%
c. 15%
Play a Sport
150
To the nearest percent, of students who play a sport, what percent do not
like physical education?
D. 7%
Do Not Play a Sport
Answers
Answer: 7
Step-by-step explanation:
The percentage of students who play a sport but do not like physical education = 16%
The correct answer is an option (B)
The complete two way frequency table for given situation would be,
Play a Sport Do not Play a Sport Total
Like Physical Education 150 72 222
Do Not Like Physical Education 28 164 192
Total 178 236 414
Now we find the percentage of students who play a sport, and do not like physical education.
The total number of students who play sport.
n = 178
And the number of students who play a sport but do not like physical education are 28.
Using percentage formula, the required percentgae would be,
P = 28/178 × 100
P = 15.73%
P ≈ 16%
Therefore, the correct answer is an option (B)
Learn more about the percentage here:
https://brainly.com/question/24120406
#SPJ1
Find the complete question below.
The height of a rectangular box is 7 ft. The length is 1 ft longer than thrice the width x. The volume is 798 ft³.
(a) Write an equation in terms of x that represents the given relationship.
The equation is
Answers
The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)
Let's break down the information given:
Height of the rectangular box = 7 ft
Length of the rectangular box = 1 ft longer than thrice the width (x)
Volume of the rectangular box = 798 ft³
To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.
The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.
Given that the height is 7 ft, we can substitute this value into the equation.
Volume = (Length) * (Width) * (7)
Now, let's focus on the length. It is described as 1 ft longer than thrice the width.
Length = 1 + (3x)
Substituting this value into the equation, we have:
Volume = (1 + (3x)) * (Width) * (7)
Since the volume is given as 798 ft³, we can set up the equation as follows:
798 = (1 + (3x)) * (Width) * 7
Simplifying further, we get:
798 = 7 * (1 + 3x) * (Width)
Dividing both sides of the equation by 7, we have:
114 = (1 + 3x) * (Width)
Therefore, the equation in terms of x that represents the given relationship is:
114 = (1 + 3x) * (Width)
For more question on equation visit:
https://brainly.com/question/17145398
#SPJ8
In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation.
How many ways are there to pick a subset of 3 different letters from the 26-letter alphabet?
a.
Combination; Subscript 23 Baseline C Subscript 3 Baseline = 1771
b.
Permutation; Subscript 23 Baseline P Subscript 3 Baseline = 10626
c.
Permutation; Subscript 26 Baseline P Subscript 3 Baseline = 15600
d.
Combination; Subscript 26 Baseline C Subscript 3 Baseline = 2600
Answers
Answer:
I'm not sure, but I put down B
Step-by-step explanation:
A new cola company is testing to see what proportion of their cans contain at least 12 oz. If they want to be within 3% of the actual percentage, how many cans should they measure to be 90% confident
Answers
Answer: 752
Step-by-step explanation:
Given that,
Margin of error = 3% = 0.03
confidence level = 90% = 0.90
therefore from the z-table
z = 1.645
Now since no prior estimate of p is given, so we say p = 0.5
Sample size required will be
n = 1.645² × 0.5 ×(1-0.5) / 0.03² = 751.67
n = 751.67 ≈ 752
The solution to -45= n/5 is
Answers
Answer:
n=5*-45
n=225
:)
Step-by-step explanation:
Answer:
n = -225
Step-by-step explanation:
-45 = n/5
cross multiply
n = -45 x 5
n= -225
Lia has a red ribbon that is 2 1/2 inches long. She has a blue ribbon that is 4 times as many inches long. How long is the blue ribbon?
Answers
Answer:
42
Step-by-step explanation:
Someone help on this question ASAP
Answers
Answer:
\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)
Step-by-step explanation:
For a dilation at the origin, multiply each of the coordinates by the scale factor.
\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)
Evaluate 4(x+3)(x+1)/(x+5)(x-5) for x =3. A. 3/2 B. -6 C. 6 D. -3/2
Answers
Answer:
-6
Step-by-step explanation:
Reduce the expression by cancelling common factors
at a large university, 68% of the students have a laptop, while only 43% of professors have one. let p hat subscript s and p hat subscript p be the sample proportions of students and professors, respectively, who have a laptop. suppose 56 students and 31 professors from this university are selected at random and asked if they have a laptop. which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat subscript s baseline minus p hat subscript p ?
Answers
The correct calculation of the standard deviation of the sampling distribution of p_hat subscript s - p_hat subscript p is 0.0934.
What do you mean by standard deviation?
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
We are given that;
Percentage of students with laptop=68%
Percentage of professors with laptop=43%
p_s = 0.68 and p_p = 0.43.
Now,
The formula for the standard deviation of the sampling distribution of the difference between two sample proportions is:
sqrt[(p_s * (1 - p_s) / n_s) + (p_p * (1 - p_p) / n_p)]
where p_s and p_p are the population proportions of students and professors who have a laptop, respectively, n_s and n_p are the sample sizes of students and professors, respectively.
We are also given that 56 students and 31 professors were selected at random and asked if they have a laptop. Therefore, n_s = 56 and n_p = 31.
Substituting these values into the formula, we get:
sqrt[(0.68 * (1 - 0.68) / 56) + (0.43 * (1 - 0.43) / 31)]
sqrt[0.00367143 + 0.00505484]
= sqrt(0.00872627)
= 0.0934 (rounded to four decimal places)
Therefore, by standard deviation the answer will be 0.0934.
Learn more about standard deviation and variance:
https://brainly.com/question/11448982
#SPJ1
solve this question
-4[xt3]=8
Answers
Answer:
Hello, The answer to your question is,
\(x=\) −\(\frac{2}{t^3}\)
hope this help :)
(correct me if i am wrong and im sorry)
Step-by-step explanation:
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
Learn more on a Ferris wheel here;
https://brainly.com/question/30524034
#SPJ1
Simplify 10square root 3x+4square root 3x+5square root 3x
Answers
Answer:
Step-by-step explanation:
given equuation 10\(\sqrt{3x\)+4\(\sqrt{3x\)+5\(\sqrt{3x}\)
=19\(\sqrt{3x}\)
the answer is 19\(\sqrt{3x}\)
To learn more about square root
https://brainly.com/question/17630803
how many ft is equal to 1.66m
Answers
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
Answers
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
To learn more about sphere click :
https://brainly.com/question/27933834
#SPJ1
25 points need HELP !!
A fair, unbiased coin was flipped 10 times, giving the results shown in the table, where T = tails and H = heads.
Flip 1 2 3 4 5 6 7 8 9 10
Result T T T H T T T H T T
What is the difference between the theoretical and experimental probabilities of getting heads?
A. 0.5
B. 0.0
C. 0.3
D. 0.1
Answers
Answer:
c 0.3
Step-by-step explanation:
there is are 50/50 chance when a coin is flipped but according to the data it is 80/20 so if to take 80-50=30 so it is a 0.3 change in probability.
The difference between the theoretical and experimental probabilities of getting heads is 0.3.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
A fair, unbiased coin was flipped 10 times.
The result is shown in the table.
Total number of outcomes = 10
For the experimental probability,
Number of heads = 2
Experimental Probability of getting heads, E = 2/10 = 0.2
For the theoretical probability,
Theoretical Probability of getting heads, T = 1/2 = 0.5
Difference = 0.5 - 0.2 = 0.3
Hence the difference is 0.3.
Learn more about probability here :
https://brainly.com/question/15729871
#SPJ5
You buy a serving spoon for $4.05 and a bread knife for $3.99. What is the total cost of your purchase?
A. $8.94
B. $7.04
C. $7.94
D. $8.04
Correct answer on gradpoint is D: $8.04
Answers
Answer: d. $8.04
Step-by-step explanation:
$4.05 + $3.99 = $8.04
Answer:
d. 8.04
Step-by-step explanation:
4.05+3.99=8.04
I need help pls!!!!!
Answers
Answer:
AP EURO DBQ RUBRIC. Updated July 2017. Name: DBQ: CONTEXTUALIZATION. Describes a broader historical context
A life insurance policy costs $13.43 for every $1000 of insurance. At this rate what is the cost of $70,000 of insurance?
Answers
Answer:$940.1
Step-by-step explanation:
13.43x70=940.1
70,000/1000=70
1000x70=70000
13.43x70=940.1
What is 2 copies of 1/6
Answers
Answer:
what do you mean by copies
Step-by-step explanation:
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
What is the value of log4(1/64)?
Answers
log4 (1/64) = x
Rewrite in exponential form:
logb(x)= y
b^y = x
4^x = 1/64
Rewrite as equations with equal base
(2^2)^x = 2^-6
2^2x = 2^-6
Equal exponents:
2x = -6
Solve for x
x = -6/2
x = -3