Answer:
0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
Step-by-step explanation:
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.
Mean of 650 pounds and a standard deviation of 20 pounds.
This means that [tex]\mu = 650, \sigma = 20[/tex]
What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?
Less than 620:
pvalue of Z when X = 620. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{620 - 650}{20}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
More than 700:
1 subtracted by the pvalue of Z when X = 700. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{700 - 650}{20}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
Total:
0.0668 + 0.0062 = 0.073
0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
4. A map has a scale factor of 1 cm = 15 miles
How far apart are two towns on the map if they are 100 miles apart in real life?
can anyone help please?
Answer:
6.67 cm
Step-by-step explanation:
since 1 cm is 15 miles we will divide 100 miles by 15 miles
100/15=6.67
now we will take out number and multiply it by the number of cm
6.67 x 1 = 6.67
so on the map they are 6.67 cm apart.
I greatly apologize if this is incorrect
a 24 foot tall streetlight casts a shadow that is 18 feet long. how long of a shadow is cast by a nearby parking meter post that is 4 feet high?
9514 1404 393
Answer:
3 ft
Step-by-step explanation:
The post is 4/24 = 1/6 as tall as the streetlight, so we expect its shadow to be 1/6 as long as that of the streetlight:
(1/6)(18 ft) = 3 ft
The parking meter post shadow is 3 feet long.
Suppose an electronics manufacturer knows from previous data that 1.5% of
one type of an electronic component are defective. The quality control
inspector randomly selects components until a defective one is found. Is this
a binomial experiment? Why or why not?
A. This is a binomial experiment, because the situation satisfies all
four conditions for a binomial experiment.
B. This is not a binomial experiment, because the trials are not
independent
C. This is not a binomial experiment, because each trial cannot be
classified as a success or failure.
D. This is not a binomial experiment, because the number of trials is
not fixed.
Answer:B and D
Step-by-step explanation:
Answer: The answer is D: This is not a binomial experiment, because the number of trails is not fixed.
Step-by-step explanation: I took the test and chose the answer A and it was incorrect. The correct answer is D. I took the test on Ap3x.
Hope this helps
What is BD? Thank you!
Answer:
Option C.8 will be your answer
Step-by-step explanation:
[tex](bd) ^{2} = 4(16)[/tex]
[tex]bd = \sqrt{64} [/tex]
[tex]bd = 8[/tex]
hope it helps...
Which of the following is a TRUE statement about check cashing stores?
sjdjwkfmwkfkekfmkdekjejwje
Answer:
I think yes but it could be no. Sorry if I am wrong but it should be yes.
A pet sitter charges $84 for eight hours of work at this rate how much does the pet Sitter charge for seven hours of work?
Answer:
73.5
Step-by-step explanation:
84/8=10.5
10.5x7=73.5
PLEASE HELP ILL MARK BRAINIEST
Answer:
Length of pendulum = 72 feet
Step-by-step explanation:
Given:
Time period (T) = 9.42
pi = 3.14
According to question,
T = 2 x pi x root(L/32)
9.42 = 2 x 3.14 x root(L/32)
9.42 = 6.28 × root (L/32)
9.42/6.28 = root(L/32)
1.5 = root(L/32)
Squaring both sides,
2.25 = L/32
L = 2.25 x 32
L = 72
Answer:
L=72
Step-by-step explanation:
T=2pi[tex]\sqrt{L/32\\}[/tex]
9.42 = (2 x 3.14)[tex]\sqrt{L/32}[/tex]
1.5=[tex]\sqrt{L/32}[/tex]
2.25 = L/32 (I squared both sides)
L=72
Hope this Helps
Yolanda will run more than 33 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run.
Write your answer as an inequality solved for t.
Answer:
Based on the question, Yolanda will run less than 26 miles but more than 16 miles (because she has already attained 16 miles in total).
Step-by-step explanation:
sorry if im late
What is the sum of 4.5 x 10^3 and 2.5 x 10^2 ?
Answer:
4750
Step-by-step explanation:
you add the equation together and find the answer
Answer: 4500 and 250 = 4750
Step-by-step explanation: 10 to the power of 3 is 1000 because it’s 10x10x10 and if you multiply it by 4.5 it’s 4500 and then 10 times 10 is 100 times 2.5 is 250. And because we’re looking for the sum it wants the total so 4500 plus 250 is 4750
If f(x) = 3-x, what is f(2)?
Answer:
f(x) = 3 - x
x = 2
f(2) = 3 - 2
f(2) = 1
A group of 10 friends shared 5 large cinnamon rolls equally. What fraction of a cinnamon roll does each person get. Explain your thinking.
what is the area of yhe following circle?either an exact answer in terms of or use 3.14 for and enter your ansert as a decimal
r=5
units2
Answer and Step-by-step explanation:
If the radius is 5, then we can plug 5 into the area of a circle equation.
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi (5)^{2}[/tex]
A = 25[tex]\pi[/tex]
The area of a circle with radius 5 is 25[tex]\pi[/tex].
#teamtrees #PAW (Plant And Water)
Mr. Haines drives 12 kilometers from home to work each day. How many meters are equal to 12 kilometers?
Answer:
12000 meters
Step-by-step explanation:
Answer:
12,000 m
Step-by-step explanation:
1 km = 1000 m
12 km = 12 * 1 km = 12 * 1000 m = 12,000 m
need help please look at attachment
Answer:
y = 1/2x + 2
Step-by-step explanation:
Perpendicular slope = 1/2
( -2, 1)
y - y1 = m(x - x1)
y - 1 = 1/2(x + 2)
y - 1 = 1/2x + 1
y = 1/2x + 2
Answer:
y1=+/2/5+1
y1+/15
/1=+5/36
-2=1/-/12
ANSWER ASAP WILL GIVE BRAINLIEST PLS HELP
Answer:
Step-by-step explanation:
11) Probability of Black is 1/4
12) P of not orange is 3/4
13) P of blue or black is 1/2
this should be pretty easy for you, why is it tough? don't say .. " it just is" say what makes it tough. I'm curious why this is difficult. :?
hello I need help please help me I will give you brianly if it Correct
Answer:
Option C.
Step-by-step explanation:
You can find this by doing ratios. 1/1.1266=x/700. Then, solve for x and you will get 621.3385.
Justine signed up for a gym membership. The gym charges a one-time fee of $59 plus a monthly fee. Justine determines that she will pay a total of $557 for her gym membership after one year. How much does the gym charge per month?
The gym charges $41.5 per month.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
One time fee of gym = $59
Justine will pay after one year = $557
So, gym fees per year = $557 - $59
⇒ gym fees per year = $498
∴ gym fees per month = gym fees per year / 12
⇒ gym fees per month = $498/12
⇒ gym fees per month = $41.50
Thus,the gym charges $41.50 per month.
To learn more about expressions :
brainly.com/question/11568837
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art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how many school days did the construction paper last?
Answer:
25
Step-by-step explanation:
025
18 |450
- 36
090
- 90
00
what is a conjecture
Answer:
a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.
Step-by-step explanation:
the measures of the angles of a triangle are shown below. find the measure of the smallest angle
Answer:
Step-by-step explanation:
44+9x+18+5x+20=180
14x+82=180
14x=180-82=98
x=98/14=7
other angles are
9x+18=9×7+18=81°
and 5x+20=5×7+20=55°
so angles are 44°,55°,81°
so smallest angle=44°
3/4 divided by 1/4 help can you teach me how to do it to
Answer:
3/4 divided by 1/4 = 3
Step-by-step explanation:
When we divide two fractions, such as 3/4 ÷ 1/4, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
We also simplify the answers to fraction problems whenever possible.
Answer:
3
Step-by-step explanation:
=(3/4)(4/1)
kcf (keep, change, flip)
so we're keeping 3/4 the same then we're changing it from division to multiplication and fliping 1/4 to 4/1 (as shown above)
3*4=12 and 4*1=4
so our new fraction is 12/4
12/4 is an improper fraction and 12 divided by 4 is 3
good luck :)
i hope this helps
have a great day !!
Find the mean of the sets of data:
2.
12, 67, 34, 10, 78, 78, 49
3. 10,10,13, 13, 45, 21, 67
Answer:
2.) 46.9 3.) 25.6
Step-by-step explanation:
Answer:
2. 46.857
3. 25.571
Step-by-step explanation:
Add all the numbers together and then divide by the number of numbers you added.
12+67+34+10+78+78+49=328
328/7=46.857
10+10+13+13+45+21+67=179
179/7=25.571
Alfred wants to become a member of an online discussion forum. The website requires him to create a password. The password must consist of 5 characters, of which 3 must be letters and 2 must be digits. The first character of the password must be a letter. Also, repetition of the same letter in the password is not permitted but repetition of digits is permitted. How many possible ways can Alfred create the password?
So I know the answer is 9,360,000 but I got 18,720,000. This is because I thought the partition is 4! / (2! * 1! * 1!) but apparently the partition is 4! / (2! * 2!) and this confuses me. I thought that since the letters can't be repeated, we'd put one unique letter in one group, the other unique letter in the other group, and the two repeated digits in the last group. Can somebody explain this to me?
Answer:
Alfred can create the password in 9,360,000 possible ways
Step-by-step explanation:
Given the data in the questions;
Password of five characters must contain; three letters and 2 digits
[][][][][]
Now, using the five boxes above which as to be filled with three letters and two digits, such that; The first character of the password must be a letter and repetition of the same letter in the password is not allowed while repetition of digits is allowed.
Now,
we know that there are 26 alphabets in English language, so the first box can be filled in 26 ways { must be a letter }
next four will be filed with two letters and two digits
so two boxes from the four can be chosen in the following ways;
⇒ ⁴C₂ = 4! / ( 2!(4-2)! = 24 / 4 = 6 { ways }
now for each choice, we can fill the chosen two boxes with letters in;
⇒ 25 × 24 = 600 { ways}
and the next two by digits; ( 0, 1, 2, ..... 9)
⇒ 10 × 10 = 100 { ways }
So in total, the possible number of ways he can create a password is;
⇒ 26 × 6 × 600 × 100
= 9,360,000 possible ways
Therefore, Alfred can create the password in 9,360,000 possible ways
I'm not sure thinking reflection but do not want to confuse my child if he is right. He is thinking translation
Answer:
That is indeed a reflection
Step-by-step explanation:
Answer: translation is moving it an without rotating or flipping it should be reflection because you can’t do translation without flipping
P.S if it’s wrong I’m sorry but I should be factually correct.
Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)
Answer:
Graph the line y = -2.
Step-by-step explanation:
A line with zero slope is a horizontal line. Find (0, -2) on the y-axis and draw a horizontal line through it. This will fully address this question.
please help!!!!!!!!!!!!!!!!!!!!
Answer:
I am not sure but think that the answer is 1/20
I believe you convert the whole number into a mixed fraction.
5 converted into quarters is 20/4. Then you divided 1/4 by 20/4.
1/4 divided by 20/4 is 1/20 or 0.05.
Please, don't refrain to tell me if this is incorrect. Thank you.
Please can someone help me !!
Answer:
Step-by-step explanation:
for question 4, the x= 116 °
they are just trying to show you that the degrees of the arc, is also the degrees of the angle from the center point of the circle.. and then they will get "tricky" with that idea :/
for question 5 x = 90 °
they just want you to recognize that a "tangent" line is 90 ° is all
for question 6 they want you to know this formula
(b -a) /2 where b = the bigger arc and a is the smaller arc
so (134 - 54) /2
80 / 2
40 °
the answer to 6 is 40 °
leave a comment if you want more explanation of how I got those :)
a fair coin is flipped four times . use a tree diagram to find the probability of observing. exactly two heads . enter youe answer as a percentage to the nearesr percent
The probability of observing exactly two heads when a fair coin is flipped four times is found to the nearest percent to be 38%.
What is probability?It is the ratio that shows the likelihood of an event occurring out of all the other possible events.
The tree diagram is drawn. The tree diagram is labeled such that the red lines represent the number of times exactly two heads are observed. The total number of events where exactly two heads are observed = 6The total number of events = 16∴ P( Getting exactly two heads when a coin is flipped four times) = 6/16 = 0.375
Convert the into percent as follows:0.375*100 = 37.5%
≈ 38%
Therefore, we have found the probability of observing exactly two heads when the coins are flipped four times to the nearest percent as 38%.
Learn more about probability here-https://brainly.com/question/24756209
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Simplify.
5a√2+3a√2
16a
8
8a
Answer:
8a[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term
= [tex]\sqrt{2}[/tex] (5a + 3a)
= 8a[tex]\sqrt{2}[/tex]