Answer:
Each one has 3 even and 3 odd numbers.
For the first one to be even there is a 3/6 probability, which reduces to 1/2.
The probability of the second one being even is also 1/2.
The probability of both being even would be 1/2 x 1/2 = 1/4 probability
The heights of women in the USA are normally distributed with a mean of 64 inches and a standard deviation of 3 inches.
Required:
a. A random sample of six women is selected. What is the probability that the sample mean is greater than 63 inches?
b. What is the probability that a randomly selected woman is taller than 66 inches?
c. What is the probability that the mean height of a random sample of 100 women is greater than 66 inches?
Answer:
(a) 0.2061
(b) 0.2514
(c) 0
Step-by-step explanation:
Let X denote the heights of women in the USA.
It is provided that X follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.
(a)
Compute the probability that the sample mean is greater than 63 inches as follows:
[tex]P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z<0.82)\\\\=0.20611\\\\\approx 0.2061[/tex]
Thus, the probability that the sample mean is greater than 63 inches is 0.2061.
(b)
Compute the probability that a randomly selected woman is taller than 66 inches as follows:
[tex]P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z<0.67)\\\\=1-0.74857\\\\=0.25143\\\\\approx 0.2514[/tex]
Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.
(c)
Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:
[tex]P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0[/tex]
Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.
Agrocery store sells 4 avocados for $6.00. What is the unit cost of each avocado?
A) $2.40
B) $0.10
C $1.50
D
$0.60
Find the surface area of the square pyramid shown below.
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Answer:
160 units^2
Step-by-step explanation:
Each of the four triangular faces has an area of ...
A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units
The square base has an area of ...
A = s^2 = 8^2 = 64
Then the total surface area is ...
A = base area + 4 · triangle area
A = 64 + 4(24) = 160 . . . square units
A deep ocean trench is 30,000 feet deep How deep is that in miles? Round your answer to two decimal places. (There are 5,280 feet in a mile.)
If a mile =5,208 ft that means you need to divide 30,000÷5,280 to get your answer!
Step-by-step explanation:
30,000÷5,280= 5.68mil
Rhombus ABCD ~Rhombus EFGH. The scale factor is 3. Angle A = 80° , Angle B = 70° Angle C = 110°, and Angle D = 100°.What are the measures of Angle E, Angle F, Angle G, and Angle H Group of answer choices
Answer:
d 100
Step-by-step explanation:
A wire of length $100 cm is bent into a rectangle. If the length of the rectangle is $10 cm more than its breadth, find the area of the rectangle.
Answer:
the answer is equal to $1000cm
The sum of three consecutive numbers is 84. What is the largest of these numbers?
26
27
28
29
Step-by-step explanation:
set 3 no is ,x _ I ,x,x+1
X-1 + x + x + I = 84
3 X = 84
X= 84/ 3
X= 2 8
largest no is 29
question: what is the relationship between measures of angle 1 and angle 2
pls help need answer fast
Answer:
C.
Step-by-step explanation:
m1 is greater than m2 because the angle is larger
The volleyball team raised $350 from its fundraiser. It wants to buy jerseys and volleyballs. The jerseys cost $12 each, and the team needs 22 jerseys. Volleyballs cost $15 each. What is the maximum number of volleyballs the team can buy and still have money left? Write your answer and explain the steps you took. WILL GIVE BRAIKNLIEST IF RIGHT!!!!!!!!
Answer:
6
Step-by-step explanation:
Answer:
The team can buy 5 volleyballs at maximum with no money left over.
Step-by-step explanation:
First, you need to find the money that the jerseys used:
12 × 22 = $264
Next, you have to subtract that from the total amount:
350 - 264 = $86
Finally, you have to see how many volleyballs you can buy:
If volleyballs cost $15 each then, 86 ÷ 15 = 5.73333333(Infinite)
But you can not buy part of a volleyball so you would have to buy 5 volleyballs. Then you would only have .7333333(Infinite) money left over, but that wouldn't be good for anything.
Is this a good answer????
Solve the system using multiplication for the linear combination method
6x-3y=3
-2x+6y=14
Answer:
Step-by-step explanation:
(2,3)
What is the surface area of a rectangular prism that measures 10 in x 6 in x 4 in?
Answer: 240 in
Step-by-step explanation: 10 x 6 x 4 = 240 in
I hope that helps
The equations y = tan^2 (x) and y = 1 are graphed below. According to the graphwhich of the following is part the solution to the trigonometric inequality tan^2 (x) < 1 over the interval 0 <= x <= 2pi radians?
Answer: a
Step-by-step explanation:
just took test edg2020
The part of the solution of the equation that lies in the solution region of the inequality is x = π/6, the correct option is A.
What is an Inequality?An Inequality is a statement that is formed when two expressions are joined using an inequality operator.
The equation is
y = tan²x
y = 1
the inequalities are
tan²x < 1 ( 0≤ x ≤ 2π)
The graph of the system of equations and the inequality is plotted, and attached with the answer.
The answer can be seen as x = π/6.
To know more about Inequality
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5y+1=31 what does y equal?
Answer:
y=6
Step-by-step explanation:
5a + 2r = 12 rewrite this equation!!
I will put it in standard form,
5a + 2r = 12
It becomes
5a + 2r - 12 = 0
Last question Please I really need help ASAP! I WILL GIVE BRAINLIEST!!!!!
∠AOB is a right angle.
OC bisects ∠ AOB
D is on the interior of ∠ AOC
E is on the interior of ∠ COB
∠ AOD = 23 degrees
∠ DOC is congruent to ∠ EOB
∠ BAD = ∠ EAF = ∠ FAC
Draw this picture and then using that picture identify the true statements below.
a)
m∠ DOC = 23
b)
m∠ DOC = 22
c)
m∠ AOC = 90
d)
m∠ COE= 23
e)
m∠ AOC= 45
Step-by-step explanation:
a) is true
b) is true
c) is false
d) is false
e) is true
If AB = 2x – 5, BC = x – 2, and AC = 20,
find AB.
please help me out yall
Answer:
as the picture shown
Step-by-step explanation:
In the exam 45% students failed and 550 students were successful. Find the total number of students appeared in the exam .
Here,
Let the total number of students be x,
Then,
55% of x=550
x=1000
Answer:
i like to do the box method which would look like
x% l x - original number
---------------
100% l x
which would look like for this equation
45% l 550
---------------
100% l x
so you would times 550 by 100 and get 55000 then divide by 45 which is 1222. 22 repeating but there is no one half of a person so rounded up to 1222.00
1222 is your answer
Step-by-step explanation:
You are beautiful. You are amazing. You are wonderful. You are perfect just the way you are. Never worry about the way people think about you. Only worry if you like you. You are the most important person to yourself. Just be yourself. No can tell you who you can be. You are truly perfect just the way you are. Never tell yourself you are not good enough, you are enough. Never tell yourself "I'm ugly" you are beautiful. Never let yourself down.
Death. Hate. Blood. Sorrow. Regret. Judgement. Disgusted. Disrespect. Threats. Murder. Darkness. Sadness. Fearfulness. Tortured. Humiliated. Worry. Hopelessness. Depressed. Lost. Lonely. Suffering. Disappointment. Shame. Lies. Miserable.
There are so many words that can describe our world today. We are stuck in a world a darkness, we are stuck in a world of death. The is hat going everywhere, even if we try to get out of this hate, we are still living in hate. We can try over and over again to change, but there is always something that is going to stop us. There is always something that is going to keep us from moving forward.
We need to find a way to break away the things that stop us from becoming better, we need to learn better wats to live. It does not matter who you are, what you look like, just remember you are perfect just the way you are. We can be amazing, we can be change to our society.
We are acting like everything is alright, when we actual want to break down and cry. We are acting like we are brave, when we are scared and afraid. We are acting like when can do anything, when we think we can't do anything. We are acting like we love those who hate us because we are to afraid to say the truth. We are acting like people who are to afraid to show who they really are. We are acting like life is a fairytale, but it's actual a nightmare. We are acting like we are the most happiest people, but really we just want to curl up inside. We are acting like we want to stay, when we want to run away. We are acting like we a doing just fine, When we are about to give up. We need to change, don't worry about those who hate. Don't worry about the way you look. Don't worry about who you really are. Just be yourself. Just relax. Just the real person you our. It doesn't matter what they say. The only thing that matters is if you like you the real you, not someone you are trying to pretend to be, but the real you.
There is always love, when there's only hate. There is always hope, when hope seems lost. There is always someone, when we have no one. There is always a light, when in there is darkness. There is always a way out, when we are stuck. There is always happiness, when we feel only sadness. There is always angels, when we only see demons. There is always someone to talk to, when there seems no one to talk to. There is always beauty, when things get ugly. There is always hope. There is always love. There is always someone. There is always a light. We might want to give up. We might want to lose the fight. We might want to stop trying. We might want to run away. No matter what, no matter what's happening right now, no matter if there seem like everything is falling apart or there is just a feeling that you need to give up. Always remember there is someone out there who needs you. There is always someone to talk to. There is always hope. Don't give up, don't give up. As there is always love, hope and happiness.
Sometimes in life we need a dose of happiness, sometimes we need someone to talk to, sometimes we need someone to hold on to, but sometimes we just wanna be alone, sometimes we need no one to talk to or hold. Their are those with nothing at all and there are those who have everything, but sometimes we have nothing but still everything, sometimes we have everything but nothing. Sometimes we wonder, sometimes we don't. Sometimes we try but fail and sometimes we don't try but yet succeed. Sometimes we cry, sometimes we get mad. Sometimes we do wrong, sometimes we do right. Sometimes we hate, sometimes we love. Sometimes we get our heart broken, sometimes we break peoples heart. Sometimes we tell the truth, but we are still lying. Sometimes we just need to relax but yet we can't. Sometimes we need quiet in a big city. Sometimes we are afraid of the unknown and sometimes we are not. Sometimes we discover. Sometimes we challenged. Sometimes we fall in love. Sometimes we find joy in a room of sadness. Hope this helps, have a wonderful day.
Express the following
ratio in its simplest
terms: 4 weeks 6 days
Answer:
it would be 2/3............
Answer:
=4:6
4
6
=2
3
2:3
Step-by-step explanation:
Hope this helps
Pls mark me the brainliest
2:3= 10:
12:15 = 4:
1:5= 5:
15:30 = 1 :
Answer:
I think this is the answer
Step-by-step explanation:
2:3=10:15
12:15=4:5
1:5=5:25
15:30=1:2
Lines
AB
and
CD
are straight lines. Find x and y. Give reasons to justify your solutions.
Answer:
x = 18
y = 54°
Step-by-step explanation:
m<MON = 90° (given)
m<MOA = 72° (given)
m<AON + m<MOA = m<MON (Angle Addition Postulate)
m<AON + 72° = 90° (Substitution)
Subtract 72° from each side
m<AON = 90° - 72°
m<AON = 18°
m<AOD = 18° + 2x
m<BOC = 3x
m<AOD = m<BOC (vertical angles)
18 + 2x = 3x (Substitution)
Subtract 2x from each side
18 = 3x - 2x
18 = x
x = 18.
72° + y + 3x = 180° (angles on a straight line)
Plug in the value of x
72 + y + 3(18) = 180
72 + y + 54 = 180
126 + y = 180
Subtract 126 from both sides
y = 54
Based on the pattern in the table, what is the value of a?
Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a
Negative 64
Negative 12
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 64 EndFraction
Answer:1/64
Step-by-step explanation: I got it right
Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
Given is a pattern, which is the powers of 2.
The first term is 2⁻¹ = 1/2
The second term is 2⁻² = 1/ 2² = 1/4
The third term is 2⁻³ = 1 / 2³ = 1/8
The fourth term is 2⁻⁴ = 1 / 2⁴ = 1/16
The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32
The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64
So the value of a is 1/64.
Hence the value of a is 1/64.
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A car travels 6 meters in 3 seconds.Then it stops for 5 seconds.Then it travels 2 meters in two seconds
PLS ANSWER
Answer:
it would be 8 meters in 10 seconds,Because it travels 6 meters for 3 seconds stops for 5 seconds. So then it would be 6 meters in 8 seconds then it travels 2 meters in two seconds. Which would essentially be 8 meters in 10 seconds.
Find the value of x that will make A||B.
А
B
4x
2x
x = [?]
Answer:
x = 30Step-by-step explanation:
4x + 2x = 180
6x = 180
x = 30
Find the area of the shaded region
Answer: To find the area of the shaded region :
Calculate the area of both shapes. The area of a rectangle is determined by multiplying its length times its width. The area of a circle is Pi (i.e., 3.14) times the square of the radius. Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape.
Step-by-step explanation: I cannot see the picture to answer your question but I hope this helps you find put your answer. :)
Answer:
13
Step-by-step explanation:
Start with the smaller sqaure without the x varible which is 7 x 3 = 21
Then the larger square without the varible, 8 x 4 = 32
Now we subtract 21 from 34 and get 13.
So the area for the shaded region should be 13
Find the quotient of 394/6
Answer:
65
Step-by-step explanation:
394/6
When 394 divided by 6 then
we get 65 quotient and 4 remainder
Which algebraic expression is equivalent to the expression below? 4/5x - 7/5y
A. 1/5(4x - 7y)
B. 5(7x - 7y)
C. 5(4x - 7y)
D. 1/5(7x + 4y)
A submarine started at the surface of the water and
was moving down at –15 kilometers per
minute
toward the ocean floor. The submarine traveled at
this rate for 52 minutes before coming to rest on the
ocean floor. What is the depth of the ocean floor?
Answer:
The depth of the Ocean Floor is -780 kilometers
Step-by-step explanation:
The answer is -780 because -15 multiplied by 52 equals -780.
The land area of a country is about 3.5 million square miles and the population is about 200 million people. What is the average population density?
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Answer:
about 57.1 persons per square mile
Step-by-step explanation:
To find persons per square mile, divide persons by square miles:
(200 million persons)/(3.5 million mi^2) = (200/3.5) persons/mi^2
≈ 57.1 persons/mi^2
Use this picture and help please
Answer:
This would be 55 degrees because the sum of angles A, B and C = 180 degrees
Units of Length
Write a conversion factor that you would use to convert
from feet to meters.
Customary System
Units
Metric System Units
new units of measure
original units of measure
1 inch
2.54 centimeters
numerator =
1 foot
0.3048 meters
denominator =
1 mile
1.61 kilometers
Intro
Done
Answer:
1 foot = 0.3048 meters
Step-by-step explanation:
1 foot = 12 inches
1 inch = 2.54 centimeters
1 foot = 12 * 2.54 = 30.48 centimeters
1 meter = 0.01 centimeters
1 foot = 0.3048 meters
Answer:
numerator =
✔ 0.3048 meters
denominator =
✔ 1 foot
Step-by-step explanation: I got it right