Answer:
a
Step-by-step explanation:
the horizontal distance is shorter so the angle will be greater.
added:
tan a = AD/2a
tan Q - AD/3a
Just looking at the fractions AD/2a and AD/3a, the denominator of AD/2a is smaller so the resulting calculation will be greater, hence a is the larger angle.
PLEASE HELP ASAPPPP!!
question: write in standard form.
2x^2+x^3-3+4x^5
Answer:
+4X^5+X^3+2X^2-3
Step-by-step explanation:
Hope this helps :*
Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 30.5 grams per pound. Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.
Answer:
0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound.
This means that [tex]\mu = 32, \sigma = 7.5[/tex]
Sample of 34:
This means that [tex]n = 34, s = \frac{7.5}{\sqrt{34}} = 1.2862[/tex]
Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.
This is the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30.5 - 32}{1.2862}[/tex]
[tex]Z = -1.17[/tex]
[tex]Z = -1.17[/tex] has a pvalue of 0.121
0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.
The predicted population of Andover t years after 2010 can be modeled by the following equation.
g(t) = 900(1.02)
The predicted population of Hornell t years after 2010 can be modeled by the following table.
t 0 5 10 15 20
f(t) 1,000 1,762 3,105 5,473 9,646
Based on these predictions, which city will have a greater average rate of change in population between 2010 and 2020?
O Both cities will have the same average rate of change of population.
O This cannot be determined from the given information.
O Andover
O Hornell
Answer:
Step-by-step explanation:
Answer: Hornell
Step-by-step explanation:
What is mfg angle 130 90 80
fg =
Answer:
arc FG = 60°
Step-by-step explanation:
arc FG = 360 - 130 - 90 - 80 = 60°
Answer:
FG would be 60 Degrees
Step-by-step explanation:
A circle is equivelent to 360 degrees
What is the area of this face?
10 in.
20 in.
5 in.
10 in.
10 in.
5 in.
10 in.
answer choices
400 in
150in
100in
200in
Answer:400 in
Step-by-step explanation:
Make an organized list which shows all possible outcomes when four fair coins are flipped.
Each coin lands facing either heads up (H) or tails up (T).
What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.
Answer:
0.31 (31%)
Step-by-step explanation:
answer steps attached
According to the graph on your graphing tool, what is true about f(x)= x^4-4x^2+x/-2x^4+18x^2
Answer:
I can't see the options, so i will find all the asymptotes.
We have the function:
[tex]f(x) = \frac{x^4 - 4*x^2 + x}{-2*x^4 + 18*x^2}[/tex]
First, we can graph this using a graphing tool, the graph can be seen below.
In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.
This can be written as:
[tex]\lim_{x \to 0_-} f(x) = - \infty \\[/tex]
and:
[tex]\lim_{x \to 0_+} f(x) = + \infty \\[/tex]
A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.
Then:
[tex]\lim_{x \to 3_-} f(x) = \infty \\\\\lim_{x \to 3_+} f(x) = - \infty \\[/tex]
For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.
Then:
[tex]\lim_{x \to -3_-} f(x) = - \infty \\\\\lim_{x \to -3_+} f(x) = + \infty \\[/tex]
We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5
Then:
[tex]\lim_{x \to \infty} f(x) = -0.5 \\ \lim_{x \to -\infty} f(x) = -0.5[/tex]
So you need to check the options that match with some of the given tendencies.
Answer:
b,c,d
Step-by-step explanation:
edg 21 ^u^
Will give brainliest for correct answer
Answer:
The first picture on the second page
Step-by-step explanation:
The first picture on the second page would be the answer because it gives exactly one input for each output. It also passes the vertical line test because no point throughout the line creates a vertical line.
1. Which equation represents the line that passes through the points (1,1) and (-2,7)?
a. y=-2x + 9
b. y=-2x + 3
c. y=-1/2x + 8
d. y=-1/2x + 6
Answer:
B
Step-by-step explanation:
find slope which is -2 then plug into equation y=mx+b to find constant of 3
How would you decide whether or 5 or 595 is greater?
Answer:
Well, the number 595 is exceptionally larger. You would be able to tell by simply subtracting 595 and 5 and you would get 590 leaving you with answer. 595 is greater
Step-by-step explanation:
what is
8 + 2 × 6 - 2^4
Answer:
4
Step-by-step explanation:
8+2=10
10x2=60
60-2^4=4
the value of 2^4 is 56
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8 + 2\times6 - 2^4 }[/tex]
[tex]\mathsf{2\times 6 = \bf 12}[/tex]
[tex]\mathsf{8 + 12 - 2^4}[/tex]
[tex]\mathsf{8 + 12 = \bf 20}[/tex]
[tex]\mathsf{20 - 2^4}[/tex]
[tex]\mathsf{2^4}[/tex]
[tex]\mathsf{= 2\times 2\times2\times2 }[/tex]
[tex]\mathsf{= 4\times 4 }[/tex]
[tex]\mathsf{= \bf 16}[/tex]
[tex]\mathsf{20 - 16 = \bf 4}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 4}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
4. 2x2 + 4x + 10 = 0
Answer:
Step-by-step explanation:
This doesn't factor. Not only that, but it does not give real results. The discriminate is negative.
a = 2
b = 4
c = 10
You could divide this equation by 2
a = 1
b = 2
c = 5
These three are smaller and easier to calculate. The answer will be the same.
x = (- b +/- sqrt(b^2 - 4*a*c ) / (2 a)
x = (-2 +/- sqrt(^2 - 4(1)*(5) ) / 2*1
x = (-2 +/- sqrt(4 - 20) ) / 2
X = (-2 +/- sqrt(-16) ) /2
x = (-2 +/- 4i ) / 2
x = ( - 1) +/- 2i
An Oil Rig is 30 meters tall. Mr. Clanton is standing 12 meters from the base of the Rig. At what angle of elevation does he need to look to see the eagle on top of the Rig ? What is the distance from Mr. Clanton to the Eagle ?
Answer:
Angle of elevation: 68.2°, distance from Mr. clanton to the eagle: 32.3m.
Step-by-step explanation:
I can't draw the diagram , but will try to explain:
the diagram is a right angled triangle, with the opposite as the rig, the adjacent as the distance between mr. clinton and the base of the rig, and the hypotenuse as x.
∅ is the angle of elevation from clinton to the eagle.
Using SOH CAH TOA,
Tan∅ =30÷12
tan∅ =2.5.
∅ =tan^-1( tan raised to power -1 )
∅ =tan^-1(2.5)
∅ = 68.19859051≅68.2 to 3s.f.
To get the distance between mr. clinton and the eagle:
Using SOH CAH TOA;
Cos68.2 =12/x cross multiplying....
x*cos68.2 =12
∴ x = 12 ÷ cos 68.2
= 12 ÷ 0.3713678356
= 32.31297611≅32.3 to 3s.f.
Hope this helps.....
Find the surface area of the prism below.
Square meters
Answer:
loluuuhsjsjzjjnsjs
Step-by-step explanation:
bzisjsjxjshsusud773938
What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to
help find the height. Show your work.
Answer:
Area = 13.8 cm²
Step-by-step explanation:
Area of a triangle = ½*base*height
base = 4 cm
height = ?
Find height using trigonometry function:
Reference angle = 60°
Opp = height = BC
Adj = 4 cm
Apply TOA:
Tan 60 = Opp/Adj
Tan 60 = BC/4
BC = 4*Tan 60
BC = 6.92820324 ≈ 6.9 cm
✔️Area of triangle = ½*4*6.9
= 13.8 cm²
When building a house, the number of days required to build is inversely proportional
to with the number of workers. One house was built in 132 days by 4 workers. How
many days would it take to build a similar house with 16 workers?
Answer: 33
Step-by-step explanation:
What is the volume of the cylinder shown below? A. 12157 units B. 3617 units C. 647 units D. 152 T units
1215 Units 3
Answer:
D
Step-by-step explanation: the answer is D
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
DCA and EFH
Step-by-step explanation:
Find the surface area of the prism.
Answer:
[tex]A=202\ cm^2[/tex]
Step-by-step explanation:
Given that,
The dimensions of the prism are 4 cm, 9 cm and 5 cm respectively.
The formula for the surface area of the prism is given by :
[tex]A=2(lb+bh+hl)[/tex]
Put all the values,
[tex]A=2(4(9)+9(5)+5(4))\\\\A=2(36+45+20)\\\\A=202\ cm^2[/tex]
So, the required surface area of the prism is equal to [tex]202\ cm^2[/tex].
y=3x+5
you have to graph it
Find the length of AC using Pythagorean Theorem.
Answer:
23
Step-by-step explanation:
A circle has a circumference of 113.04113.04113, point, 04 units.
What is the diameter of the circle?
Answer:
around 36 is the diameter
Step-by-step explanation:
C=2Pir or pi*d
113.04=pi*d
113.04/pi=d
d≈36
give me brainliest[tex]≈[/tex]
36 units is the diameter of the circle.
What is Perimeter?The perimeter of a two-dimensional form is the space surrounding it. It represents the total length of the shape's sides. The units used to measure the sides of the form, such as meters, centimeters, inches, or feet, determine the units used to measure the perimeter.
We can use the formula for the circumference of a circle, C = πd,
where C is the circumference and d is the diameter.
Substituting the given value, we have:
113.04 = πd
To solve for d, we can divide both sides by π:
d = 113.04/π
Using a calculator to evaluate this expression, we get:
d ≈ 36
Therefore, the diameter of the circle is approximately 36 units.
Learn more about perimeter here:
https://brainly.com/question/6465134
#SPJ3
Sandy picked 9 pounds of tomatoes. She wants to share the tomatoes equally among 4 of her neighbors. How many pounds of tomatoes will each neighbor get?
this is a not a part of the question 7
Answer:
2.25
9÷4
Step-by-step explanation:
M<1=115
M<2
Could y’all give answers for all though
Answer:
1) m<2 = 115°
2) m<5 = 83°
3) m<8 = 45°
4) m<4 = 137°
Step-by-step explanation:
When two lines cross over each other, creating four angles, the opposite angles are equal.
So in question one, <1 is equal to <2, the angle opposite it, and so it is 115°.
Similarly, in question two, <5 = <6 = 84°.
In question three, <8 = <9 = 45°.
and in question four, <3 = <4 =137°.
Answer:
1) 115
2) 83
3) 45
4) 137
Step-by-step explanation:
Each problem is asking you to find the missing angle given its vertical angle.
Vertical angles are congruent therefore the angle given is the answer
Just in case that doesn't make sense here you go:
For #1 ∠1 and ∠2 are vertical angles
vertical angles are congruent ( equal to each other ) so if
∠1 = 115° then ∠2 = 115°
For#2 ∠5 and ∠6 are also vertical angles so they are congruent
so if ∠5 = 83° then ∠6 = 83°
For #3 ∠8 and ∠9 are vertical angles so they are congruent
so if ∠8 = 45° then ∠9 = 45°
For #4 ∠3 and ∠4 are vertical angles so they are congruent
So if ∠3 = 137° then ∠4 = 137°
A football stadium contain 80% of its full capacity of spectators for a grand final match. At the end of the game, spectators leave the ground through various exits at the rate of 5 spectators per seconds. After 20 minutes the stadium contain 60% of its full capacity of spectators.
A. Calculate the full capacity of the stadium
B. How many spectators will be in the stadium 1 hour after the end of the game?
Answer:
A. 30000
B. 12000
Step-by-step explanation:
Find out how much spectators leave in 1 minute.
1 second = 5
1 minute = 5 x 60 = 300 (60 seconds)
20 minutes = 300 x 20 = 6000
Since there were only 80% of the full capacity of spectators and after minutes it became 60%...
80% - 60% = 20%
20% = 6000
1% = 6000 ÷ 20 = 300
100% = 300 x 100 = 30000
1 minute = 300 spectators leaving
1 hour = 300 x 60 = 18000 (60 minutes)
30000 - 18000 = 12000
Find the sum: (7b
-2) + (-4b + 5)
Answer:
[tex]=3b+3[/tex]
Step-by-step explanation:
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex], [tex]=7b-2-4b+5[/tex].
[tex]\mathrm{Group\:like\:terms}[/tex]:
[tex]=7b-4b-2+5[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:7b-4b=3b[/tex]
[tex]=3b-2+5[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-2+5=3[/tex]
[tex]=3b+3[/tex]
What equation is equivalent to 9^x - 3 = 729?
Answer: 9^(x-3) = 9^3
Step-by-step explanation:
Realizing that 729 = 9^3, we can rewrite the equation ...
9^(x -3) = 729
as ...
9^(x -3) = 9^3 . . . . . . matches the second selection
__
Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.
(3^2)^(x -3) = (3^2)^3
3^(2x-6) = 3^6
or, taking the square root, ...
3^(x -3) = 3^3
None of these forms match any answer choices.
_____
The solution will be found by matching exponents:
x -3 = 3
x = 6
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answer:
yxu and tux are the alternate interior angles
Step-by-step explanation:
you just go across and then the other side
so pretty much mirroring it twice
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
7D
110%
А AT
X
B
>C
Angles are not drawn to scale.
Enter
Answer:
jngijmgjim
Step-by-step explanation:
gvnjv jg
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
Sarah Turned on the soaker hose in her flower bed. The hose releases 192 gallons of water every 4 hours. If she leaves the hose on for 30 minutes how much water will be used?
Answer:
24 gallons
Step-by-step explanation:
set up a proportion and cross-multiply:
g = # gallons
192/4 = g/0.5*
4g = 96
g = 24
*30 minutes = 0.5 hours