When P = 2l + 2w is solved for w, the result is:?
Answer:
[tex]\frac{p-2l}{2}[/tex]
Step-by-step explanation:
move the 2l to the other side by subtracting 2l on both sides. you get P - 2l = 2w. now divide both sides by 2 to get the answer.
You want to buy a $203,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. or a) How much is the loan amount going to be? $ b) What will your monthly payments be if the interest rate is 6%? $ c) What will your monthly payments be if the interest rate is 7%?
Answer:
The amount of the loan is going to be $ 182,700, and the monthly payments, if the interest is 6%, are going to be $ 537.95, while if the interest is 7%, are going to be $ 543.02.
Step-by-step explanation:
Given that you want to buy a $ 203,000 home, and you plan to pay 10% as a down payment, and take out a 30 year loan for the rest, for A) determine how much is the loan amount going to be, B) determine what will your monthly payments be if the interest rate is 6%, and C) determine what will your monthly payments be if the interest rate is 7%, the following calculations must be made:
A) 100 - 10 = 90
203,000 x 0.90 = X
182,700 = X
B) (182,700 x 1.06) / (30 x 12) = X
193,662 / 360 = X
537.95 = X
C) (182,700 x 1.07) / (30 x 12) = X
195,489 / 360 = X
543.025 = X
Therefore, the amount of the loan is going to be $ 182,700, and the monthly payments, if the interest is 6%, are going to be $ 537.95, while if the interest is 7%, are going to be $ 543.02.
Nina and Amy began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Nina took a test in English and earned a 71.8, and Amy took a test in Social Studies and earned a 60.7. Use the fact that all the students' test grades in the English class had a mean of 71.7 and a standard deviation of 11.7, and all the students' test grades in Social Studies had a mean of 60.6 and a standard deviation of 10.5 to answer the following questions.
a) Calculate the z-score for Nina's test grade.
b) Calculate the z-score for Amy's test grade.
c) Which person did relatively better?
i. Nina
ii. Amy
iii. They did equally well.
Answer:
a) [tex]Z = 0.0085[/tex]
b) [tex]Z = 0.0095[/tex]
c) ii. Amy
Step-by-step explanation:
Z-score:
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.
Question a:
Nina took a test in English and earned a 71.8. In the English class had a mean of 71.7 and a standard deviation of 11.7.
This means that [tex]X = 71.8, \mu = 71.7, \sigma = 11.7[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{71.8 - 71.7}{11.7}[/tex]
[tex]Z = 0.0085[/tex]
Question b:
Amy took a test in Social Studies and earned a 60.7. Students' test grades in Social Studies had a mean of 60.6 and a standard deviation of 10.5.
This means that [tex]X = 60.7, \mu = 60.6, \sigma = 10.5[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60.7 - 60.6}{10.5}[/tex]
[tex]Z = 0.0095[/tex]
c) Which person did relatively better?
Amy had a higher z-score, so she did relatively better.
Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors). The first inspector detects 83% of all defectives that are present, and the second inspector does likewise. At least one inspector does not detect a defect on 34% of all defective components. What is the probability that the following occur
Complete question is;
Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors). The first inspector detects 83% of all defectives that are present, and the second inspector does likewise. At least one inspector does not detect a defect on 34% of all defective components. What is the probability that the following occurs?
(a) A defective component will be detected only by the first inspector?
b) A defective component will be detected by exactly one of the two inspectors?
(c) All three defective components in a batch escape detection by both inspectors (assuming inspections of different components are independent of one another)?
Answer:
A) 0.17
B) 0.34
C) 0
Step-by-step explanation:
a) We are told that the first inspector(A) detects 83% of all defectives that are present, and the second inspector(B) also does the same.
This means that;
P(A) = P(B) = 83% = 0.83
We are also told that at least one inspector does not detect a defect on 34% of all defective components.
Thus;
P(A' ⋃ B') = 0.34
Also, we now that;
P(A ⋂ B) = 1 - P(A' ⋃ B')
P(A ⋂ B) = 1 - 0.34
P(A ⋂ B) = 0.66
Probability that A defective component will be detected only by the first inspector is;
P(A ⋂ B') = P(A) - P(A ⋂ B)
P(A ⋂ B') = 0.83 - 0.66
P(A ⋂ B') = 0.17
B) probability that a defective component will be detected by exactly one of the two inspectors is given as;
P(A ⋂ B') + P(A' ⋂ B) = P(A) + P(B) - 2P(A ⋂ B)
P(A) + P(B) - 2P(A ⋂ B) ; 0.83 + 0.83 - 2(0.66) = 0.34
C) Probability that All three defective components in a batch escape detection by both inspectors is written as;
P(A' ⋃ B') - (P(A ⋂ B') + P(A' ⋂ B))
Plugging in the relevant values, we have;
0.34 - 0.34 = 0
Which problem has a greater (bigger) answer? Solve both, choose the one that has the bigger answer and explain (1-2 sentences) how you found your
answer.
1) (2 + 3) (5 + 5)
2)2 + 3 x 5 + 5 =
I need so much helppppp pleaseeeee
Answer:
Problem 1 has a greater answer.
Step-by-step explanation:
Solve problem 1 using the order of operatiobs PEMDAS (Parentheses, Exponents, multiplication/division, and addition/subtraction):
Multiplication/division depends from left to right of the expression, the same goes to addition/subtraction.
(2 + 3) (5 + 5)
= (5)(10)
= 50
SOLVE problem 2 using PEMDAS:
2 + 3 x 5 + 5
= 2 + 15 + 5
= 17 + 5
= 22
Answer 1 (50) compared to Answer 2 (22):
50 > 22
HOPE THIS HELPS!
A multiple regression model is ^Y = 8.114 + 2.005X1 + 0.774X2. Which of the following values is the estimate for the intercept parameter?
a. 0.774.
b. 8.114.
c. 1.000.
d. 2.005.
Answer:
B. 8.114
Step-by-step explanation:
The intercept parameter is the zero-grade component of the multilinear equation, that is, the component independent from [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Hence, the intercept parameter of the multilinear regression is 8.114. (Correct answer: B)
Convert the following to a simplified fraction. Show all your work.
Answer:
11/6
Step-by-step explanation:
The three methods used to classify costs into their fixed and variable components includes:_____.
a. high-low method.
b. scatter diagrams.
c. most-squares regression.
d. least-squares regression.
e. variable-fixed method.
Answer:
a. high-low method.
b. scatter diagrams.
d. least-squares regression.
Step-by-step explanation:
Costing is a measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.
Fixed cost can be defined as predetermined expenses in a business that remain constant for a specific period of time regardless of the quantity of production or level of outputs. Some examples of fixed costs in business are loan payments, employee salary, depreciation, rent, insurance, lease, utilities etc.
On the other hand, variable costs can be defined as expenses that are not constant and as such usually change directly and are proportional to various changes in business activities. Some examples of variable costs are taxes, direct labor, sales commissions, raw materials, operational expenses etc.
In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.
The high-low method is a quick and easy way to estimate costs by using historical accounting information from a range of reporting periods.
A scatter diagram (scattergraph) estimate costs by considering all the data points and not just the lowest or highest point.
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
Generally, the sum of the residuals of a least squares regression line is always equal to zero.
Answer:
a. high-low method.
b. scatter diagrams.
d. least-squares regression.
Step-by-step explanation:
The three methods used to classify costs into their fixed and variable components includes:
high-low method.scatter diagrams.least-squares regression.Will give brainliest answer please give explanation
If this block dropped into 23.0mL of water, what will the new volume be?
Rewrite in simplest terms: (9x+5)-(-2x+10)(9x+5)−(−2x+10) . Someone please help me
Answer:
18x^(2)-69x-55
Step-by-step explanation:
dont have the time to rn
Answer:
[tex]{ \bf{(9x + 5) - ( - 2x + 10)(9x + 5) - ( - 2x + 10)}} \\ = { \tt{(9x + 5) - ( - {18x}^{2} + 80x + 50) - ( - 2x + 10)}} \\ = { \tt{(9 - 80 + 2)x + {18x}^{2} + 5 - 50 - 10 }} \\ = { \tt{ {18x}^{2} - 69x - 55}}[/tex]
Casey and Malik can paint a room in 6 hours if they work together. If Malik were to work by himself, it would take him 4 hours longer than it would take Casey working by himself. How long would it take Casey to paint the room by himself if Malik calls in sick? Round to 2 decimal places.
Answer:
It would take 10 hours for Casey to paint the room by himself.
Step-by-step explanation:
Given that Casey and Malik can paint a room in 6 hours if they work together, and if Malik were to work by himself, it would take him 4 hours longer than it would take Casey working by himself, to determine how long would it take Casey to paint the room by himself if Malik calls in sick the following calculation must be performed:
6 x 2 = 12
12 x 2 = 24
(24 - 4) / 2 = 10
Therefore, it would take 10 hours for Casey to paint the room by himself.
Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot shows the data he gathered and the line of best fit.
The scatter plot showing data gathered and line of best fit is attached below :
Answer:
69
Step-by-step explanation:
Given the regression model :
y = 1.73x + 0.0924
Where,
y = number of pink flowers
x = Red flowers
Slope = 1.73
Intercept = 0.0924
The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :
Put x = 40 and calculate the value of y
y = 1.73(40) + 0.0924
y = 69.2 + 0.0924
y = 69.2924
Number of pink flowers = 69
what is the inverse of the function shown
Step-by-step explanation:
the down function clearly is
y = x - 5, -2 <= x <= 8
the reasons :
1. it is linear. so, we have only a form of ax+b
2. x=0 => y=-5
x=5 => y=0
so, with these 2 points alone we can see
y = ax + b
-5 = a×0 +b = b
0 = a×5 - 5
5 = a×5
1 = a
the inverse function is based on
y = x - 5
=>
x = y + 5
now renaming the variables so that y is the result and x the input variable delivers
y = x + 5
and because the original function only delivered y- values between -7 and +3, this is also the defined domain for the inverse function.
so,
y = x + 5, -7 <= x <= +3
so, we have the points
x=-7 => y=-2
x=+3 => y=8
you need to draw the line between these 2 points with filled dots at the end points (as they are included in the function).
1.3 hectoliters is how many liters
Answer: 130 liters
Step-by-step explanation:
1 hectoliter = 100 liters
1.3 hectoliters = 1.3 · 100 = 130 liters
Create a quadratic equation in one variable of the form ax^2+bx+c=0 that meets the following criteria. A=1, b=0 , c=-100. 20 points.
Answer:
Equation is x^2-100=0
Step-by-step explanation:
I'm assuming everything is in standard form. Just plug in the values.
1(x)^2+(0)x+(-100)=0
0 times x is 0, so it simplifies to
x^2-100=0
The total number of students enrolled in MATH 123 this semester
is 5,780. If it increases by 0.28% for the next semester, what will
be the enrollment next semester? Round to a whole person.
Answer:
5796 people
Step-by-step explanation:
.28 percent of 5780 is 16.184 so added 5,780+16.184=5,796.184 but rounded to a whole person is 5,796!
Which table represents a direct variation function?
9514 1404 393
Answer:
(b) the correct table is marked
Step-by-step explanation:
Direct variation is characterized by the ratio of y to x being a constant for all values in the table. That constant is the constant of proportionality. For the values in the second table (marked), the ratio is ...
y/x = 8/6 = 12/9 = 16/12 = 4/3
The constant of proportionality is 4/3.
Please help me i will give you brainlest
Answer:
19. - 4/11
21. 14
Step-by-step explanation:
Im sorry but i can't solve 20
if x+y=12 and xy =27,then find the value of x^2+y^2
PLEASE HELP !
Answer:
90
Step-by-step explanation:
=> x + y = 12
=> x² + y² + 2xy = 144
=> x² + y² + 2 * 27 = 144
=> x² + y² = 144 - 54
=> x² + y² = 90
Can someone help please
Answer:
-10.5
Step-by-step explanation:
3(7)÷(7+7-2)
21÷(0-2)
21÷ (-2)
-10.5
Please help ASAP. No links
Hello my dear friend of USA !!!
DB/AD = BE/EC
=> 6/4 = x+1/x
=> 6x = 4x + 4
=> 2x = 4
=> x = 2
So x = 2
I am from INDIA.
Lots of love ❤️!!!
Have a great day ahead!
Answer:
x = 2
Step-by-step explanation:
[tex]\frac{6}{4} = \frac{x+1}{x}[/tex]
6x = 4x + 4
2x = 4
x = 2
What is the domain of the given
set of ordered pairs?
(2, 4), (5,5), (8, 6), (11, 7)
Answer:
2, 5, 8, 11
Step-by-step explanation:
The domian is the x axis points thingy
Suppose X and Y are two independent exponential variables. The mean of X is twice the mean of Y. If the probability of X exceeding 50 is 0.7788, what is the probability of Y exceeding 40
If X ~ Exponential(µ), then the mean of X is 1/µ. So if the mean of X is twice the mean of Y, then the mean of Y is 1/(2µ), so that Y ~ Exponential(2µ).
We're given that
P(X > 50) = 1 - P(X ≤ 50) = 1 - Fx (50) ≈ 0.7788
==> Fx (50) = P(X ≤ 50) ≈ 0.2212
where Fx is the CDF of X, which is given for 0 ≤ x < ∞ to be
Fx (x) = 1 - exp(-µx)
Solve for µ :
1 - exp(-50µ) ≈ 0.2212 ==> µ ≈ -ln(0.7788)/50 ≈ 0.005
Then we have
P (Y > 40) = 1 - P (Y ≤ 40) = 1 - Fy (40)
where Fy is the CDF of Y,
Fy (y) = 1 - exp(-2µy)
so that
P (Y > 40) ≈ 1 - exp(-2 × 0.005 × 40) ≈ 0.3297
Sameer bought 8kg 500g mango and 5kg 250g apples and Anil bought 7kg 800g Guava and 4kg 625g Banana. Who bought more fruits? And by how much?.
Answer:
Below.
Step-by-step explanation:
Sameer:-
Number of mango's = total weight / weight of 1 mango
= 5 kg / 500g
= 5000/500
= 10.
Number of apples: = 5000/250 = 20.
Total number of fruit = 30.
Anil :-
Number of guava = total weight / weight of 1 guava
= 7 kg / 800g
= 7000/800
= 9.
Number of banana: = 4000/625 = 6.
Total number of fruit = 15.
Sameer bought the most fruit, 15 more than Anil.
Note: in Anil's case I rounded the values to the nearest whole number.
You are charged $9.33 total for a meal, assume the 7% sales tax, how much was the menu price of this item?
I have already tried
$8.68
$8.71
$8.67
all were wrong
Answer:
$8.71.
Step-by-step explanation:
Given that you are charged $ 9.33 total for a meal, assuming the 7% sales tax, to determine how much was the menu price of this item, the following calculation must be performed:
100 + 7 = 107
107 = 9.33
100 = X
100 x 9.33 / 107 = X
933/107 = X
8.71 = X
Therefore, the menu price of this item was $ 8.71.
What is the value of x
Answer:
52/3
Step-by-step explanation:
Use basic Thales therom,
[tex]\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\\\frac{3}{4}=\frac{3x+7}{5x-8}\\[/tex]
Cross multiply,
3*(5x-8)=4*(3x+7)
3*5x - 3*8 = 4*3x + 4*7
15x - 24 = 12x +28
Add 24 to both sides
15x = 12x + 28 + 24
15x = 12x + 52
Subtract 12x from both sides
15x-12x =52
3x = 52
Divide both sides by 3
x = 52/3
which of the following is the median of 19, 31, 15, 50, 20
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{19, 31, 15, 50, \& 20}[/tex]
[tex]\large\text{When you see or hear the word \underline{median}, think of the question}\\\large\text{asking you \bf what is the MIDDLE NUMBER.}\large\text{To find the}\\\large\text{middle number you have to put the numbers from descending}\\\large\text{(least/decreasing) or ascending (greatest/increasing) order}[/tex]
[tex]\large\text{15, 19, 20, 31, \& 20}[/tex]
[tex]\large\text{Make sure it is even on BOTH SIDES of the DATA SET}[/tex]
[tex]\large\text{It seems to be even on both sides of the number \bf 20}\large\text{ so \underline{20}}\\\large\text{can be your median/middle number in this given set}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: the median is \bf 20}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Now actually compute 2 - 8
Answer:
the answer is -6. you just subtract 2 with 8
There are 92 students enrolled in an French course and 248 students enrolled in a Spanish course. Construct a ratio comparing students enrolled in a French course to students enrolled in a Spanish course. Write your answer as a decimal, rounded to the thousandths place.
Answer:
0.371
Step-by-step explanation:
The ratio comparing students enrolled in a French course to students enrolled in a Spanish course rounded to the thousandths place is 0.371.
What is the ratio?A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.
Now it is given that,
Students enrolled in a French course = 92
Students enrolled in a Spanish course = 248
So, Ratio comparing students enrolled in a French course to students enrolled in a Spanish = Students enrolled in a French course / Students enrolled in a Spanish course
⇒ Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 92/248
⇒ Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 0.370967
To rounded to the thousandths place, the digit at the thousandth place is 0 and right to it is 9 which is greater than 5 so round up the place value at thousandths place.
⇒ Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 0.371
Thus, the ratio comparing students enrolled in a French course to students enrolled in a Spanish course rounded to the thousandths place is 0.371.
To learn more about ratio:
https://brainly.com/question/1504221
#SPJ2
5. What is the value of x if the quadrilateral is a kite? B X+2 C С 13 A Xth12 D
Answer: just had this problem! X = 11
