Answer:
y= 2x + 85
y= $555
x= $235
Step-by-step explanation:
Let y be the amount the senior class raised
Let x be the amount the freshmen class raised
Insert known values
$555 = 2x + $85
Subtract 85 from both sides
$470 = 2x
Isolate the variable (x) by dividing each side by 2
$235 = x
Hope this helps! :)
Simplify 2x^3 х 3x^2
Answer:
ans = 6x4
Step-by-step explanation:
(2x2)(3x2)
first multiply the coefficients
(2*3) = 6
next multiply the variables
(x2*x2) = x2+2 = x4
productofcoeficients,productofvariables
= 6x4
PLEASE HELP!!
Sorry for all the tabes I'm working on a presentation at the same time.
Answer:
0.5
Step-by-step explanation:
use rise over run, from (-6,0) to (0,3) it rises 3 and runs 6. 3/6 = 1/2.
Answer:
the slope is two
Step-by-step explanation:
rise over run
A farm has 56 horses and sheep in all. There are 8 fewer sheep than horses. How many horses are there on the farm?
Answer:
32 Horses
Step-by-step explanation:
32-8=24
There are 32 horses and 24 sheep (As you can see there are 8 fewer sheep than horses)
I sort of guess and checked:
I tried to think of 2 numbers that added to 56 but one number was 8 less than the other one.I figured out that 32 and 24 fit this description :)
LUCILLES PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR.
HOW MANY PENCILS WILL FIT IN HER POUCH. will give brainlist
Answer:
18
Step-by-step explanation:
You would divide 48 by 8 and multiply it by 3. Otherwise, you could do
3/8 = x/48
x * 8 = 3 * 48
x * 8 = 144
/8 /8
x = 18
The graph below shows the elevation of three submarines during their first four minutes depending into the water which statement is true?
Answer:
ANSWER IS A I THINK
Step-by-step explanation:
The components of a vector are Ax = –10 units and Ay = 8 units. What angle does this vector make with the positive x axis? g
Answer:
This vector make an angle of 141° with the positive x axis
Step-by-step explanation:
Refer the attached figure
Components of vector :
[tex]A_x=-10 \\A_y = 8[/tex]
We are supposed to find What angle does this vector make with the positive x axis
[tex]tan \theta =\frac{A_y}{A_x}\\tan \theta =\frac{8}{-10}\\\theta =tan^{-1}(\frac{8}{-10})\\\theta =tan^{-1}(\frac{8}{-10})=-38.65^{\circ}[/tex]
Now ,
[tex]\alpha = 180-38.65=141.35^{\circ}[/tex]
So, this vector make an angle of 141° with the positive x axis
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The distribution of pH levels for all community swimming pools in a large county is approximately normal with mean 7.5 and standard deviation 0.2. According to swimming pool studies, the safest pH levels for water in swimming pools are between 7.2 and 7.8. (a) One community swimming pool in the county will be selected at random. What is the probability that the selected pool has a pH level that is not considered safe
Answer:
The value is [tex]P(A) = 0.133617[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 7.5[/tex]
The standard deviation is [tex]\sigma = 0.2[/tex]
The safest water level is between 7.2 and 7.8
Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as
[tex]P(A) = 1 - P(7.2 \le X \le 7.8 )[/tex]
Here
[tex]P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma } <\frac{ 7.8 - \mu }{\sigma } )[/tex]
Generally [tex]\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )[/tex]
So
[tex]P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z <\frac{ 7.8 - 7.5 }{0.2 } )[/tex]
[tex]P(7.2 < X < 7.8 ) = P(-1.5 < Z <1.5)[/tex]
=> [tex]P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5) [/tex]
From the z-table the probability of (Z < -1.5) and ( Z <1.5) are
[tex]P(Z < 1.5) = 0.93319[/tex]
and
[tex]P(Z < -1.5) = 0.066807[/tex]
So
[tex]P(7.2 < X < 7.8 ) =0.93319 - 0.066807 [/tex]
[tex]P(7.2 < X < 7.8 ) =0.0866383[/tex]
So
[tex]P(A) = 1 - 0.0866383[/tex]
=> [tex]P(A) = 0.133617[/tex]
The probability that the selected pool has a pH level that is not considered safe pool is 0.1336
The given parameters are:
[tex]\mathbf{\mu = 7.5}[/tex]
[tex]\mathbf{\sigma = 0.2}[/tex]
Start by calculating the probability that a pool is safe.
This is represented as: P(7.2 < x < 7.8)
Calculate the z-scores for x =7.2 and 7.8 using:
[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]
So, we have:
[tex]\mathbf{z = \frac{7.2 - 7.5}{0.2} = -1.5}[/tex]
[tex]\mathbf{z = \frac{7.8 - 7.5}{0.2} = 1.5}[/tex]
So, we have:
[tex]\mathbf{P(7.2 < x < 7.8) = P(-1.5 < z < 1.5)}[/tex]
This gives
[tex]\mathbf{P(7.2 < x < 7.8) = P(z < 1.5) - P(z < -1.5)}[/tex]
Using z table of probabilities, we have:
[tex]\mathbf{P(7.2 < x < 7.8) =0.9332 - 0.0668}[/tex]
[tex]\mathbf{P(7.2 < x < 7.8) =0.8664}[/tex]
The probability that the pool is not safe is calculated using the following complement formula
[tex]\mathbf{P(Not\ Safe) = 1 - P(Safe)}[/tex]
So, we have:
[tex]\mathbf{P(Not\ Safe) = 1 -0.8664}[/tex]
[tex]\mathbf{P(Not\ Safe) = 0.1336}[/tex]
Hence, the probability that the pool is not safe is 0.1336
Read more about probabilities at:
https://brainly.com/question/11234923
Round 543,982 to the nearest hundred thousand
Answer:
500,000
Step-by-step explanation:
Please give brainleist
Answer:
500,000
Step-by-step explanation:
The hundred thousands place is bold so you can tell where it is. 543,982
To round you look at the 4 since it is below 5 you round down and it'll remain as 500,000
Hope that helps and have a great day!
Emilia wrote a total of 12 pages over 4 hours. After spending 6 hours writing this week, how
many pages will Emilia have written in total? Assume the relationship is directly proportional.
Answer:
30 pages
Step-by-step explanation:
Knowing she wrote 12 pages in 4 hours, we can do 12/4 to get 3 pages per hour. Multiply 3 pages by the 6 hours she spends writing and you get 18 pages in 6 hours. Add 12 pages and 18 pages and you have 30 pages.
It too Mrs. phillips 1.6 hours to run the 13.2 miles. What was his average speed
Answer:
13.2 miles/ 1.6 hours= 8.25 miles/hour.Mr. Phillips's speed was 8.25
If 5% more than a is b, and b is 15% less than, what is the ratio of a to c? Please answer quickly.
what is eighteen and three fourths divided by two and a half?
Answer:
the answer is 7.5
Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 57 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 65 is within one standard deviation of the mean.
Answer:
a. 72
b. 816
c. 570
d. 30
Step-by-step explanation:
Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.
Please refer the figure for a better understanding.
a. In a normal distribution, Mean = Median = Mode
Therefore, Median = Mean = 72
b. We have to know that 68% of the values are within the first standard deviation of the mean.
i.e., 68% values are between Mean Standard Deviation (SD).
Scores between 63 and 81 :
Note that 72 - 9 = 63 and
72 + 9 = 81
This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.
Now, Scores between 63 and 81 =
= 68 X 12 = 816.
That means 816 students have scored between 63 and 81.
c. We have to know that 95% of the values lie between second Standard Deviation of the mean.
i.e., 95% values are between Mean 2(SD).
Note that 90 = 72 + 2(9) = 72 + 18
Also, 54 = 63 - 18.
Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to of the values.
Therefore, Scores between 72 and 90 =
= 570.
That is a total of 570 students scored between 72 and 90.
d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.
In this case, 5 % of the values lie between below 54 and above 90.
Since, we are asked to find scores below 54. It should be 2.5% of the values.
So, Scores below 54 =
= 2.5 X 12 = 30.
That is, 30 students have scored below 54.
Step-by-step explanation:
It is found that score of 62 is not within one standard deviation of the mean.
What is z - score?The Z-score measures how many standard deviations the measure is from the mean. If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have [tex]X \sim N(\mu, \sigma)[/tex]then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
In a set with mean and standard deviation, the z- score of a measure X is given by:
[tex]Z = \dfrac{X - \mu}{\sigma},[/tex]
Z-score, we look at the z-score table and find the p-value associated with this z-score.
Given that Mean score of 54 and a standard deviation of 6.
This means to see if a score of 62 is within one standard deviation of the mean.
Is Z between -1 and 1 when X = 62.
[tex]Z = \dfrac{X - \mu}{\sigma},\\Z = \dfrac{62 - 54}{6},[/tex]
Z = 1.33
Therefore, It is found that score of 62 is not within one standard deviation of the mean.
Learn more about z-score here:
https://brainly.com/question/21262765
#SPJ2
the remote areas away from the coast is
Answer:
Pole of Inaccessibility
PLS HELP ME !! ILL MARK BRAINLIST
an aquarium has display tanks that each contain 175 fish.how many fish are on display in 6 tanks
Answer:
1050 fish
Step-by-step explanation:
175(6 tanks) = 1050
PLEASE QUICK BRAINLISET
Answer: the answer is f
Answer:
F
Step-by-step explanation:
the measure of angle one must be equal to the measure of angle five and when doing the math I got x=34 plug that into the equation for angle five i got 48 and the same for plugging it into the equation for angle one.
Container A and container B have leaks. Container A has 800ml of water, and is leaking 6 ml per minute. Container B has1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
Answer:
50 minutes
Step-by-step explanation:
First set up an inequality to find you answer like
800 - 6x = 1000 - 10x
then subtract 800 from both sides leaving you with
-6x = 200 - 10 x
Then add 10 x to both sides giving you
4x = 200
The simplify from here by dividing 200 by 4
200/4 = 50 giving you your answer
Wade picked 4 pints of blackberries. His friend, Matt, picked 6 pints. How
many pints did they pick altogether?
Help. (Math) The following construction was performed. What distance did the compass have to be set to sweep the two arcs through point T?
1. RP
2. QR
3. QT
4. QP
Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bag of dog food costs $7, and the dog collar cost $5
Answer:
2bags= $14 + $5
3bags= $21+ $5
4bags= $28 + $5
5bags= $35 + $5
6bags= $42 + $5
multiply # of bags by 7
and add $5
When holding your arms horizontal, your body is the line of reflection. true or false?
Answer:
true
Step-by-step explanation:
Your arms would be the line and your body would be the y-axis, and your arms are on either side of the y-axis which means your body is the line of reflection
Hope this helps.
The number of undergraduates at Johns Hopkins University is approximately 2000, while the number at Ohio State University is approximately 40,000. A simple random sample of 50 undergraduates at Johns Hopkins University will be obtained to estimate the proportion of all Johns Hopkins students who feel that drinking is a problem among college students. A simple random sample of 50 undergraduates at Ohio State University will be obtained to estimate the proportion of all Ohio State students who feel that drinking is a problem among college students. What can we conclude about the sampling variability in the sample proportion, p with hat on top, calculated from the sample at Johns Hopkins as compared to that in the sample proportion from Ohio State
Answer:
The answer is "Option C"
Step-by-step explanation:
please find the complete question in the attached file:
Its ratio of samples by Johns Hopkins will be about the equivalent than those from Ohio State because sample varying depending on the sample, each of them would have the same variability also like the amount, that's why he assumes the variance of sample sizing in the sample percentage p with both the hat above, relative to the confidence interval in Ohio State determined from its Johns Hopkins test.
Which of the following equations is equivalent to 30 = 2 ( -2x + 6
Answer:
30=-4x+12
Step-by-step explanation:
they both equal -9/2
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used Match the rates with their equivalent unit rates. Not all tiles will be used. Will give brainlyest if correct. Need answers ASAP.
Answer:
6,5,4,7,8
Step-by-step explanation:
Starting from 42/7
Hope this helped!
A package of 24 trading cards sells for $4.99 Based on this price, what is the price per card
Answer:
4.80961924
Step-by-step explanation:
Please help ASAP!!! I’m struggling
Answer:
10
Step-by-step explanation:
Answer:
eat well don't forget to eat your dinner okay
Find the unknown angle measure.
Answer:
x=22
Step-by-step explanation:
180-77=103
103+55=158
180-158=22
x=22
7th grade math help me plzzzz
Answer:
b, c, f are coorrect inequalities
Step-by-step explanation:
hope i helped :D
A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. Give a 98% confidence interval for the proportion of all student loan borrowers who have loans of $20,000 or more for their undergraduate education. (Give answers accurate to 3 decimal places.)
Answer:
The 98% confidence interval of the proportion = (0.312, 0.374)
Step-by-step explanation:
(Give answers accurate to 3 decimal places.)
The formula for Confidence Interval of Proportion is given as:
p ± z × √p(1 - p)/n
Where p = Proportion = x/n
x = 440
n = 1282
p = 440/1282 = 0.34321372854
Approximately = 0.343
z = z-score of 98 % confidence interval
= 2.326
Confidence Interval =
= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282
= 0.343 ± 2.326 × √0.225351/1282
= 0.343 ± 2.326 × √0.00017578081
= 0.343 ± 2.326 × 0.01325823555
= 0.343 ± 0.03083865589
0.343 - 0.03083865589
= 0.31216134411
Approximately = 0.312
0.343 + 0.03083865589
= 0.37383865589
Approximately to = 0.374
Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)