A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard deviation of .4 billion years. (Their ages are approximately normally distributed.) You think the mean age is actually greater, and that this would lend support to an alternative theory about how the clusters were formed. You use a computer to randomly select the coordinates of 50 stars from the catalog of known stars of the type you're studying and you estimate their ages. You find that the mean age of stars in your sample is 3.4 billion years.
Answers
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
Please find the complete question in the attached file.
Lets [tex]\mu[/tex] in trillions of years be the maximum likelihood age of galaxies in a certain type of star cluster.
Calculating the Hypotheses:
Null hypothesis value:[tex]H_o : \mu = 3.3[/tex]
Alternative hypothesis value: [tex]H_A : \mu > 3.3[/tex]
Related Questions
-20 = -5 - 3x I need help on this
Answers
Answer:
x=5
Step-by-step explanation:
add 5 to both sides
-20+5 = -3x
-15=-3x (divide)
x=5
The operation * on the set Z of integers is defined by x*y = 3x + 2y - 1, x, y E Z. Find the value of x such that x*2=5
Answers
Answer:
x = 2/3
Step-by-step explanation:
Let's unpack the equation [tex]x*2=5[/tex] from our definition of [tex]*[/tex]:
[tex]x*2=3x+2(2)-1=5[/tex] (where [tex]x\in \mathbb{Z}[/tex])
Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:
[tex]3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3[/tex]
please help
a) Complete the table for the graph of y = 0.98 for values of x from 0 to 5
(2)
0
1
3
X
2
4
5
y
(1
b) Which of the following could be the graph of y = 0.94 ?
B.
A
C
Total marks
C C
Answers
Answer:
Either B or C but i'll have to say B if I had to choose.
Step-by-step explanation:
[tex] {0.9}^{0} = 1[/tex]
[tex] {0.9}^{1} = 0.9[/tex]
[tex]0.9 ^{2} = 0.81[/tex]
[tex] {0.9}^{3} = 0.729[/tex]
[tex] {0.9}^{4} = 0.6561[/tex]
[tex] {0.9}^{5 } = 0.59049[/tex]
As we can tell it decreases slowly.
A bowl of mixed vegetables contains carrots, broccoli, and cauliflower. If the bowl contains 80 vegetable pieces, and 25% of the pieces are carrots, how many carrots are in the bowl?
Answers
Answer:
Number of carrot pieces in bowl = 20
Step-by-step explanation:
Given:
Total number of vegetable pieces = 80
Percent of carrot = 25%
Find:
Number of carrot pieces in bowl
Computation:
Number of carrot pieces in bowl = Total number of vegetable pieces x Percent of carrot
Number of carrot pieces in bowl = 80 x 25%
Number of carrot pieces in bowl = 80 x 0.25
Number of carrot pieces in bowl = 20
Answer:
20
Step-by-step explanation:
I took it on Edge
Brian purchased a trophy in the shape of a square pyramid for the most valuable player on his lacrosse team. The trophy had a slant height of 4 inches and each side of its base measured 4 inches. Brian wanted to engrave on the four sides of the trophy but not on the base of the trophy. How many square inches of the trophy were available for engraving?
Answers
Answer:
up , up , up , upitdy.
ngl im not sure bro but somehow i got 16 4x4=16
Step-by-step explanation:
I NEED HELP ASAP
FIND THE MEASURE OF MISSING ANGLE
Answers
Answer:
50
Step-by-step explanation:
a right triangle is = to 180 so you need all angles to add to 180 so you take 180 minus it by 90 and 40 you are left with 50 degrees
What is an equation of the line that passes through the points (- 2, 1) and (- 8, 4) ?
Answers
Answer:
y=-x/2
Step-by-step explanation:
m=(4-1)/(-8-(-2))
m=3/-6
m=-1/2
b=y-mx
b=1-(-1/2*(-2))
b=1-1
b=0
y=-x/2
VOLUME!! *last question*
Answers
Answer:
D.756
Step-by-step explanation:
thanks me later
pa follow po thankyou
Find the value of x.
Then find the value of y.
Answers
Answer:
x = 2°y = 150°Step-by-step explanation:
First, let's find x:-
(15x-2)° = (9x+10)°
15x-2 = 9x+10
6x = 12
x = 2°
Now, let's find y:-
28 + y° = 180°
y = 180-28
y = 150°
______________________
Hope this helps you!
Have a great day!
I need an idea for how to film something maybe around 30 seconds using this criteria. I can use anything in my house and have one actor.
EXERCISE
Use framing to shoot a scene that creates a feeling of a character being trapped (claustrophobia), then emerging from that sense of entrapment.
● Use six shots
● Do not use camera movement
● Do not rely on acting
Answers
Answer: you can maybe show them being trapped in the bathroom them come in with a sharp knife and splash or put ketchup on the part you stabbbed them
Step-by-step explanation:
Give each trig ratio as a fraction in its simplest form.
Sin Q = Cos Q = Tan Q = Sin R = Cos R= Tan R=
Answers
Answer:
sin q = 14/50
cos q = 24/25
tan q = 7/24
sin r = 24/25
cos r = 7/25
tan r = 24/7
Step-by-step explanation:
The required trigonometric ratio are as follows;
[tex]SinR= \frac{24}{25}, CosR = \frac{7}{25}, TanR = \frac{24}{7} \\\\SinQ = \frac{7}{25}, CosQ = \frac{24}{25}, TanQ = \frac{7}{24}[/tex]
WE have to determine the trigonometric function in simplest form.
In order to find trigonometric ratio, In right angle triangle QRP.
Length of PR = 14
Length of QR = 50
To find length of PQ using Pythagoras theorem.
[tex](H)^{2} = (P)^{2} + (B)^{2}\\\\(50)^{2} = (14)^{2} + (B)^{2} \\\\B^{2} = 2500 - 196\\\\B^{2} = 2304\\\\B = 48[/tex]
Length of PQ is 48.
Therefore,
Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse)
Then,
[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{14}{50}\\\\SinQ = \frac{7}{25}[/tex]
The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{48}{50} \\\\CosQ = \frac{24}{25}[/tex]
The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{14}{48} \\\\TanQ = \frac{7}{24}[/tex]
And In right angle triangle RPQ,
Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{48}{50}\\\\SinQ = \frac{24}{25}[/tex]
The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{14}{50} \\\\CosQ = \frac{7}{25}[/tex]
The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{48}{14} \\\\TanQ = \frac{24}{7}[/tex]
To know more about Trigonometric function click the link given below.
https://brainly.com/question/20367642
Please help this is times
Answers
if ABC is a straight line and angle CBD=119
Answers
Hello this is not question .
Electromagnetic radiation is more common than you think. Radio and TV stations emit radio waves when they broadcast their programs; microwaves cook your food in a microwave oven; dentists use X rays to check your teeth. Even though they have different names and different applications, these types of radiation are really all the same thing: electromagnetic (EM) waves, that is, energy that travels in the form of oscillating electric and magnetic fields.
Consider the following:
radio waves emitted by a weather radar system to detect rain drops and ice crystals in the atmosphere to study weather patterns;
microwaves used in communication satellite transmissions;
infrared waves that are perceived as heat when you turn on aburner on an electric stove;
the multicolor light in a rainbow;
the ultraviolet solar radiation that reaches the surface of the earth and causes un-protected skin to burn; and X rays used in medicine for diagnostic imaging.
Which of the following statements correctly describe the various forms of EM radiation listed above?
A. They have different wavelengths.
B. They have different frequencies.
C. They propagate at different speeds through a vacuum depending on their frequency.
D. They propagate at different speeds through non-vacuum media depending on both their frequency and the materialin which they travel.
E. They require different media to propagate.
Answers
Answer:
A. They have different wavelengths.
B. They have different frequencies.
C. They propagate at different speeds through a vacuum depending on their frequency.
Step-by-step explanation:
Electromagnetic waves have electric and magnetic fields which travel in the free space together. They travel at the speed of light and accelerate by particle oscillates. EM radiations are differently used for different purposes. They are modified in order to create micro waves or radio waves.
what does the 50th term of this arithmetic sequence: 29,32,35,38
Answers
Answer:
176
Step-by-step explanation:
First term (a) = 29
Common difference (d) = 32 - 29 = 3
For calculating the 50th term , n = 50
Now
[tex]t_{50} = a + ( n - 1) d\\t_{50} = 29 + ( 50 - 1 ) *3\\ t_{50} = 29 + 147\\t_{50} = 176[/tex]
hope it will help :)
Find an equation of the line whose slope in 5/2 and whose x intercept is -3
Answers
Answer:
5/2 x -3
Step-by-step explanation:
Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.
Answers
Answer:
26°Step-by-step explanation:
Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.
So, we have the values of angles x and y as 90° and 64°.
90 + 64 = 154° ⇒ Add them up.
Now, subtract 154 from 180 to get ∠z.
180 - 154 = 26°
At a bakery, a baker prepares 6 dozen blueberry muffins for every 5 dozen apple muffins. If the baker prepares 16 dozen blueberry muffins, how many dozen apple muffins will he prepare? Can you please explain how to do this.
Answers
What is the rule for the translation graphed below?
Answers
Answer:
(x,y) ==> (x+2, y-1)
Step-by-step explanation:
PLEASE HELP ME!?!
(2 questions)
Answers
Second one is x = 24
There are 35 birds in a tree. Then 17 flew away. How many birds are tin the tree now. Regroup a ten.
Answers
This means 18 birds are left. I don’t know what you mean by “regroup a ten” though, did your question cut off?
hope that helps tho :)
What is the surface area of the triangular prism (Look at image)
Answers
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
For a prism we take into account the following:
[tex]\boxed{\bold{Lateral\ area = (Perimeter \ of \ the \ base) (height)}}[/tex][tex]\boxed{\bold{Total\ area = Lateral\ area + 2 (base\ area)}}[/tex]Taking into account the above, we first find the lateral area:
In the triangular base, the height divided into 2 small right triangles of Hypotenuse = 5 and Height = 3. By Pythagoras we have this:
3² + base² = 5²9 + base² = 25
base² = 25 - 9
base² = 16
base = 4
From this we obtain that the bases of the small right triangles measure 4 therefore the triangular base is isosceles where we have:
Equal sides = 5 Uneven side = 8The perimeter of the triangular base will be the sum of the sides, that is:
Perimeter = 5 + 5 + 8
⇒ Perimeter = 18
Since the perimeter of the base of the prism is 18 and the height is 20, we replace in the equation for the lateral area:
Side area = (18) (20)
⇒ Lateral Area = 360 m²
Now we find the area of the triangular base with base = 8 and height = 3:
[tex]\bold{Area=\dfrac{(base) (height)}{2} }\\\\\\Area=\dfrac{(8)(3)}{2} \\\\\\Area=\dfrac{24}{2}\\\\\\\boxed{\bold{Area=12}}[/tex]
Since we have that the lateral area is 360m² and the area of the triangular base is 12m², we replace in the equation of the total area:
Total area = 360 + 2 (12)
Total area = 360 + 24
Total area = 384 m²
The total area of the prism will measure 384m²
I hope I have helped you, greetings from Venezuela!
Alternate exterior angles are congruent
Which angle forms a pair of alterhate
exterior angles with angle 3?
f
<3 = 41?)
Answers
Answer:
Angle 6
Step-by-step explanation:
The opposite exterior angle to angle 3 is angle 6.
For another example, the opposite exterior to angle 1 is angle 8.
If you were to cut them out and put them over each other, they're congruent. Hope that helped you out :)
Answer:
<3=<6 forms a pair of alternate
exterior angles with angle 3.
Factor -9y - 3 with a negative GCF
Answers
Answer:
-3(3y-1)
Step-by-step explanation:
−9y−3
Factor out 3.
3(−3y−1)
Rearrange Terms.
-3(3y-1)
Jake spins a spinner divided into five even sections numbered one through five. He then flips a coin. What is the probability of him spinning a one and flipping a heads?
Answers
Answer:
12.5% chance
Step-by-step explanation:
First a spinner has a 25% chance of landing on a one, then a tails is a 50% chance, subtract devide 25 by two and you get 12.5.
A density graph for all of the possible times from 50 seconds to 300 seconds
can be used to find which of the following?
A. The probability of a time from 75 seconds to 350 seconds
B. The probability of a time from 25 seconds to 250 seconds
C. The probability of a time from 150 seconds to 350 seconds
D. The probability of a time from 75 seconds to 250 seconds
Answers
Answer: D. took quiz :)
Step-by-step explanation:
Answer: d. the probability of a time from 75 seconds to 250 seconds
Step-by-step explanation:
There are 200 male students at a particular school. Of these, 58 play football. 40 play basketball, and
8 play both
a) Draw and label a Venn diagram for this situation.
b) How many play both sports.
c) How many play basketball but not football?
d) How many play football but not basketball?
e) How man do not play football or basketball?
CORRECT ANSWERS ONLY
Answers
Answer:
B) 8 play both
C)32 play only basketball
D) 50 play only football
E) 110 play none
The Venn Diagram is a method of representing stets in a logical manner. The number of students who don't play any of the sports is 110.
What is Venn Diagram?The Venn Diagram is a method of representing stets in a logical manner.
Given that there are 200 male students at the school. Also, Of these, 58 play football, 40 play basketball, and 8 play both.
A.) The venn diagram can be drawn as shown below.
B.) The number of students who play both sports is 8.
C.) The number of students who play basketball but not football, are the student in the blue circle. Therefore, the number of students is 32.
D.) The number of students who play football but not basketball, are the student in the red circle. Therefore, the number of students is 50.
E.) The number of students who don't play any of the sports,
= Total student - Basketball playing student - Football playing student
- both sports playing student
= 200 - 50 - 32 - 8
= 110
The number of students who don't play any of the sports is 110.
Learn more about Venn Diagram:
https://brainly.com/question/1605100
#SPJ3
Which three lengths CANNOT be the lengths of the sides of a triangle? *
5 points
23m, 17m, 14m
O 11m, 11m, 12m
05m. 7m, 8m
Answers
Answer:
0.5m 7m 8m cannot be the lengths of the sides of a triangle.
Factorise the following.
Answers
Answer:
viii. 2x(1 - 2x)(1 + 2x)(1 + 4x²)
ix. 4xy
Step-by-step explanation:
viii. 2x - 32x⁵
= 2x(1 - 16x⁴)
= 2x(1² - (4x²)²)
= 2x(1 + 4x²)(1 - 4x²) ( a² - b² = (a + b)(a - b))
= 2x(1 + 4x²)(1² - (2x)²)
= 2x(1 + 4x²)(1 - 2x)(1 + 2x)
ix. (x+y)² - (x - y)²
= (x+ y + x - y)( x + y - x + y)
= 2x x 2y
= 4xy
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes my homework is due today
Answers
Answer: 38
Step-by-step explanation: to evaluate an expression for these variables, plug in those numbers for the variables.
Plugging in -1 for y and -19 for z gets you this:
-2(-1)^2(-19)
Now simplify according to order of operations (PEMDAS - parenthesis exponents multiplication/division addition/subtraction)
-1^2 = 1
-2(1) = -2
-2(-19) = 38
Your answer is 38
