Answer:
x= 2.25
Step-by-step explanation:
-3x +10= 5x -8
Bring all x terms to 1 side, constants to the other:
5x +3x= 10 +8
8x= 18
Divide both sides by 8:
x= 18 ÷8
x= 2.25
∴ The value of x is 2.25 to make the equation to be true.
If the line that connects the boat to the parasail is reeled in by 20
meters and the angle of elevation changes to 38° from the boat, how
many meters above the lake is the man to the nearest tenth of a
meter?
A)
67.4 m
B)
85.6 m
9
86.3 m
D)
177.9 m
Answer:
A) 67.4 m
Step-by-step explanation:
Let "x" represent how many meters above the lake is the man
Reference angle = 32°
Opposite = x
Hypotenuse = 129.5 m
Apply ye trigonometric function SOH:
Sin 32° = Opp/Hyp
Son 32 = x/129.5
129.5 × sin 32° = x
x = 68.6245447
This is close to A) 67.4 m
You want to measure the height of a tree in
front of your house. You are standing 25
feet away from the tree, and you are
looking at the top of the tree with an angle
of elevation of 52º. What is the height of
the tree? Round to the nearest foot.
Answer:
31 feets
Step-by-step explanation:
The sketched triangle of the problem is attached below :
To byian the height h of the tree :
We use the trigonometric relation :
Tan θ = opposite / Adjacent
Tan 52 = h / 25
1.2799416 = h / 25
h = 1.2799416 * 25
h = 31.998540
h = 32 feets
In a certain Algebra 2 class of 30 students, 14 of them play basketball and 10 of them play baseball. There are 14 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Help a man out
100 points will mark brainliest
A randomized study compared two drugs that are designed to lower a person's triglyceride level. It was found that over a 1-year period, those receiving Drug A decreased their triglyceride level by a mean of 69. Those receiving Drug B decreased their triglyceride level by a mean of 45.
To determine whether the results are significant, the data are rerandomized and the difference of the means is shown in the dot plot.
What is the best conclusion to make based on the data?
a. The difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance.
b. The difference of the means is not significant because the rerandomizations show that it is within the range of what likely happens by chance.
c. The difference of the means is not significant because the rerandomizations show that it is outside the range of what likely happens by chance.
d. The difference of the means is significant because the rerandomizations show that it is outside the range of what likely happens by chance.
Answer:
a
Step-by-step explanation:
The difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance.
Option (A) difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance is the correct option.
What is a dot plot?"A dot plot is used to represent any data in the form of dots or small circles. It is similar to a simplified histogram or a bar graph as the height of the bar formed with dots represents the numerical value of each variable. Dot plots are used to represent small amounts of data".
For the given situation,
A randomized study shows the comparison of two drugs that are designed to lower a person's triglyceride level.
Drug A decreased their triglyceride level by a mean of 69.
Drug B decreased their triglyceride level by a mean of 45.
Mean difference = [tex]69-45[/tex]
⇒ Mean difference = [tex]24[/tex]
The data are rerandomized and the difference in the means is shown in the dot plot.
In the dot plot, the difference in the means is rerandomized and is arranged between the range 6 to 22.
Hence we can conclude that option (A) difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance is the correct option.
Learn more about the dot plot here
https://brainly.com/question/23498615
#SPJ2
What is the solution to the equation 3/
x+4+3/2x+8 = 0?
Answer:
X= -4
Step-by-step explanation:
^ you have to isolate the radical than raise each side to the power of its index which gets you
x= -4
How many layers of 15 unit cubes are in the rectangular prism? Enter the answer in the box.
Answer:
8
Step-by-step explanation:
120/15
Determine the quotient of the rational expressions. x+2/4xy^2 divided by 2z/y^3
Answer: x (4z + y^5) / 4z
Step-by-step explanation:
A lottery game has balls numbered 1 through 15. What is the probability of selecting an even numbered ball or a 13?
Answer:
8 / 15
Step-by-step explanation:
Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Required outcome :
Even numbers = (2, 4, 6, 8, 10, 12, 14) or 13
Total required outcomes = 8
Probability = required outcome / Total possible outcomes
P(even number or 13) = 8 / 15
IS THIS IMAGE BELOW AND MY ANSWER CORRECT PLEASE HELP DUE IN 3 MIN
Answer:
yeah it's right
Step-by-step explanation:
I need help question attached. 20 point!
Answer:
[tex]45\:\mathrm{in}[/tex]
Step-by-step explanation:
The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex]. Substituting given values, we have:
[tex]3,840=\frac{1}{3}\cdot 16^2\cdot h,\\h=\frac{3,840\cdot 3}{256}=\boxed{45}[/tex]
Answer:
30 in.
Step-by-step explanation:
[tex]h=3\frac{V}{a^{2} }[/tex]
[tex]h=3\frac{3840}{16^{2} }[/tex]
45.12
That is not an option, so go with the closest one 30 in.
PLZ HELP NEEDED ASAP WILL GIVE BRAINLIEST
Answer:
32
Step-by-step explanation:
freedom and creative expression
The number 32 symbolizes freedom and creative expression. It is also a number that symbolizes teamwork, relationships, sensuality, optimism, curiosity. Number 32 people are tolerant, adventurous. and witty. They have a need to be spontaneous and free. They are interested in many things.
Give the value of each trigonometric ratio
Answer:
Cos(M)=35/37
Cos(N)=12/37
Sin(M)=12/37
Sin(N)=35/37
Tan(M)=12/35
Tan(N)=35/12
uestion
Convert: a. 350 hL to liters and b. 4.1 to.centiliters.
Answer:
35000 Litre
Step-by-step explanation:
Recall:
1 hectoliter = 100 liter
Hence,
350 hectoliter = (100 * 350) = 35000 Litre
Question B. Isn't clearly stated
Question 35 of 40
A conservation biologist is observing a population of antelope affected by an
unknown virus. Initially there were 120 individuals but the population is now
decreasing by 6% per month. Which function models the number of antelope,
a, after n months?
A. 2 - 120(0.6)"
B. - 120(0.94)"
C. - - 120(0.4)"
D. - 12000.06)
Answer:
120(0.96)^n
Step-by-step explanation:
6% = 0.06
1 - 0.06 = 0.94
p = 120(0.96)^n
A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately mound-shaped and symmetric, with a mean of 78 jobs and a standard deviation of 6. Where do we expect approximately 95% of the distribution to fall? between 90 and 96 jobs per day between 72 and 84 jobs per day between 60 and 96 jobs per day between 66 and 90 jobs per day
Answer:
The answer is "between 60 and 96 jobs per day".
Step-by-step explanation:
In this solution, there is a mound-sized and symmetrical distribution for the number of works submitted to your computer per day with mean=78, and standard deviation=6.
Therefore a distribution of 95% decreases between the average [tex]\pm[/tex] 3* standard deviation
Therefore,
[tex]\to 78\pm (3*6)=(78-18, 78+18)=(60,96)[/tex]
The 95% distribution falls in between 60 and 96 jobs per day.
-11 2/3 x (-4 1/5) =
Answer:
49 is your answer :)
Step-by-step explanation:
Have a nice dayyy <3
Complete steps to find x
+( 7×+24)=128
Answer:
8x=104
Step-by-step explanation:
The answer above is the question simplified down
Find the probability of at least one
failure in five trials of a binomial
experiment in which the probability of
success is 30%.
Round to the nearest tenth of a
percent.
Answer:
99.8% probability of at least one failure.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of success is 30%.
This means that [tex]p = 0.3[/tex]
Five trials:
This means that [tex]n = 5[/tex]
Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30%.
Less than five sucesses, which is:
[tex]P(X < 5) = 1 - P(X = 5)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.002[/tex]
[tex]P(X < 5) = 1 - P(X = 5) = 1 - 0.002 = 0.998[/tex]
0.998*100% = 99.8%
99.8% probability of at least one failure.
when accessing your credit card ,information online you cannot
Answer:
C. make purchases
Step-by-step explanation:
took the test
ben is tiling the floor in his bathroom. the area he is tiling is 4m x 2m. each tile is 400m x 400 mm. he has 45 tiles. is this enough
The figure below is made of 2 rectangles.
Answer:
i dont see the question?
Step-by-step explanation:
Which of the following relation is a function.
Answer:
Which of the following relations is a function- A
Determine which relation is a function- A
Step-by-step explanation:
A function is a type of relationship where x's do not repeat. So, to solve find where each y has a unique x value. In the first question, A is correct because the x values; -3, 0, 2; never repeat. Then, on the next question A is correct because it is a relation written in slope-intercept form, which is a type of function notation.
I upped the steaks plz answer this, I will give brainiest
Answer:
[tex] \displaystyle x = \frac{3}{4} [/tex]
Step-by-step explanation:
we are given that
[tex] \displaystyle P = \left(x, - \frac{ \sqrt{7} }{4} \right)[/tex]
we want to figure out x
remember that,
In unit circle x coordinate is considered cos and y coordinate is considered sin
so in order to figure out x we should figure out the value of cos to do we can consider Pythagoras trig indentity
given by
[tex] \displaystyle \sin ^{2} ( \theta) + { \cos}^{2} ( \theta) = 1[/tex]
we are given sin=-√7/4 thus
substitute:
[tex] \displaystyle \left( - \frac{ \sqrt{7} }{4} \right) ^{2} + { \cos}^{2} ( \theta) = 1[/tex]
simplify square:
[tex] \displaystyle \frac{7}{16} + \cos ^{2} ( \theta) = 1[/tex]
move left hand side expression to right hand side and change its sign:
[tex] \displaystyle \cos ^{2} ( \theta) = 1 - \frac{7}{16} [/tex]
simplify Substraction:
[tex] \displaystyle \cos ^{2} ( \theta) = \frac{9}{16} [/tex]
square root both sides:
[tex] \displaystyle \cos ^{} ( \theta) = \pm\frac{3}{4} [/tex]
since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable
hence,
[tex] \displaystyle x = \frac{3}{4}[/tex]
What is the 100th term of this sequence?
an= -7n+ -5
transformati in unitati principale de masura pentru:
lungime
Miley walks dogs to earn money. She tracks her steps while she walks the dogs so she can walk them all an equal distance. Last week, she walked 11 11 dogs. Her total distance was 4 , 532 4,532 yards. How far did she walk each dog?
Answer:
412 yards each
Step-by-step explanation:
4,532/11=412
I will give brainliest to whoever answers firstand answer is correct what is the formula of a b c
Answer:
Its general form is ax2 + bx + c= 0, where x is the variable and a, b, and c are constants (a≠ 0).
Can someone check those and tell what is wrong and the answer
Answer:
42. acute
43. obtuse
Step-by-step explanation:
Obtuse: which one of the interior angles measures more than 90° degrees, then the rest are less than ninety.
Acute: all less than ninety and all different.
Please somebody help me out!!
Answer:
See below.
Step-by-step explanation:
These work just like ordinary algebraic expresssions, except you have to remember always: i^2 = -1 i squared is negative one!
(4 - 3i)(4 + 3i) "FOIL" the expression to get 16 - 3i + 3i - 9i^2. But i^2 = -1, so this is the same as 16 - 3i + 3i + 9. Combine like terms.
Ans. 25
(4 - 3i)(i) Distribute the i to the two terms of the binomial.
4i - 3i^2 = 4i - 3(-1)
Ans. 4i + 3
(6i)(4 + 3i) = (6i)(4) + (6i)(3i) = 24i + 18i^2 = 24i + 18(-1)
Ans. 24i -18
(6i)(i) = 6i^2 = 6(-1)
Ans. -6
(-5)(4 + 3i) = -20 - 15i That's it; there's no i^2 to deal with.
Ans. -20 - 15i
(-5)(i) = -5i Again, that's all there is to it.
Ans. -5i
At a festival you run across a booth with an interesting game. Tokens are sold for $2 with a selection of prizes. There is a $25 grand prize which you have a 5% chance of winning, there are 5 mid-level prizes, each worth $15 with a 15% chance of winning, and there is a consolation prize worth $1 with a 20% chance of winning. What is your expected gain or loss if you play this game
Answer:
Your expected gain is of $10.7.
Step-by-step explanation:
Expected earnings:
The expected earnings is each prize multiplied by it's probability of being earned.
So
5% probability of earning $25.
5*15% = 75% probability of earning $15.
20% probability of earning $1. So
0.05*25 + 0.75*15 + 0.2*1 = 12.7
Cost of token:
The token costs $2, which means that we subtract $2 from the expected earnings.
12.7 - 2 = 10.7
Your expected gain is of $10.7.