Answer:
let the wages of men and boys be x and y respectively
then
5x+6y = 114
7x + 8y = 157
multiplying equation first by 4 and second by three and subtracting equations
20x + 24y = 456
21x + 24y =471
-x = -15
x= 15 men wages
substituting value of x in equation
5x + 6y = 114
5*15 + 6y = 114
6y = 114 -75
6y = 39
y = 6.5 each boys wages
Step-by-step explanation:
Suppose that the test score of a student taking the final of a probability course is a random variable with mean 76.
Required:
a. Give an upper bound for the probability that a student's test score will exceed 86. Suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25.
(b) What can be said about the probability that a student will score between 65 and 85?
c. How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of 75? Do not use the central limit theorem.
Answer:
a. 0.8837
b. 0.6914
c. 10 student
Step-by-step explanation:
a. using markov's inequality; P(u >= X)<= E(u) / X
mean u = 76
X, test score = 86
= 76 / 86 = 0.8837
b. variance v = 25
The test is between 65 and 85 P(65 <= X <= 85);
P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)
= P(-11 <= |X - u| <= 9)
= P(|X - u| <= 9)
using the chebyshev's inequality;
P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2
= 1 - 25/ 9^2
= 1 - 25/81 = 1 - 0.3086 = 0.6914
c. P(|X - 76| <= 5) = 0.9
still using chebyshev's inequality;
= 1 - variance / lower limit^2 (E)
where E = 1 - 0.9 = 0.1
lower limit = 5
= 1 - 25/ 5^2 (0.1) = 10
What is the solution set for 2x – (x + 5) < 3x – 9 ?
Answer:
x > 2
Step-by-step explanation:
x - 5 < 3x - 9
x - 5 + 5 < 3x - 9 + 5
x < 3x - 4
x - 3x < 3x - 4 - 3x
-2x < -4
(-2x)(-1) > (-4)(-1)
2x > 4
2x/2 > 4/2
x > 2
Answer:
x > 2.
The solution in interval notation is (2, ∞).
Step-by-step explanation:
2x - (x + 5) < 3x - 9
2x - x - 5 < 3x - 9
2x - x - 3x < -9 + 5
-2x < -4
Divide both sides by -2
x > 2 (Note that the sign flips because we are dividing by a negative)
Sophia had 63¢ until she spent 5 nickels. How much money does Sophia have now?
Answer:
38 cents
Step-by-step explanation:
5x5=25
63-25=38
25 Point Math Question Image Attached
X = hypotenuse x sin(angle)
Rewriting this with the given information:
Sin(26) = x/10
The answer is B.
Answer:
answer is B
Step-by-step explanation:
just got it right
What does "(-2)(6)" mean
Answer:
Step-by-step explanation:
it means that you do negative 2 times 6. That is -2 x 6, which is -12
Answer:
implied multiplication
Step-by-step explanation:
(-2)(6)
When two parentheses are next tow each other, there is implied multiplication
-2 * 6
-12
I CAN GIVE BRAINLIEST!!!!!!
Answer: 2/1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Line is passing through the points (2, 3) & (5, 9)
Slope = (9 - 3)/ (5 - 2) = 6/3 = 2
Slope of the line is 2.
True or false
do all states have an income tax?
Answer:
All states have a state income tax. The amount of tax withheld generally depends on the level of income and the number of exemptions claimed.
Solve the equation.
k/-9 =7
Answer:
k=-63
Step-by-step explanation:
multiply both sides by -9
k=7*-9
k=-63
Answer:
-63
Step-by-step explanation:
by simplifying both sides of the equation, then isolating the variable. k= -63
-9 x 7 = -63
HELP IM IN CLASS DOING IT RIGHT NOW The absolute value of any number is always positive. True False
Answer:
True
Step-by-step explanation:
Answer:
[tex] \huge\purple{TRUE}[/tex]
Step-by-step explanation:
The absolute value of any number is always positive.
help meeeeeeeeeeeeeeeeeee
Answer:
18
Step-by-step explanation:
the other right triangle is 3-4-5. so, 3*4/2=6
4*6/2=12
6+12=18
give brainliest pls
HELP
i need a graph of 10x+6y=150
Rearrange the equation to get it into slope intercept form:
10x+6y=150
6y=-10x+150
y=-5/3x+25
The slope is -5/3, the y-intercept is 25. Graph below:
Answer:
See below
Step-by-step explanation:
Given
10x + 6y = 150To graph the line easily, find x-intercept and y-intercept and connect those points with a line, that will be a graph you need.
x-intercept is the coordinate of x when y = 0
10x + 6*0 = 15010x = 150x = 15y-intercept is the coordinate of y when x = 0
10*0 + 6y = 1506y = 150y = 25We have now required points:
(0, 25) and (15, 0)The graph is attached
A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 5 median age in 2005, X2 5 number of 2005 bank- ruptcies per 1,000 people, X3 5 2004 federal expenditures per capita, and X4 5 2005 high school graduation percentage. (a) Write the fitted regression equation. (b) Interpret each coef- ficient. (c) Would the intercept seem to have meaning in this regression
Answer:
hello your question is incomplete attached below is the complete question
Answer :
a) attached below
b) Agemed ; 2005 median age of population
Fedspend ; 2004 federal spending per capita for all functions
HSGrad% ; 2005 public high school graduation rate
Bankrupt ; 2005 corporate or individual bankruptcies filed per 1,000 population
c) No
Step-by-step explanation:
A) Fitted regression equation
attached below is the excel procedure and the answer related to the question
b) Interpret each coefficient
Agemed ; 2005 median age of population
Fedspend ; 2004 federal spending per capita for all functions
HSGrad% ; 2005 public high school graduation rate
Bankrupt ; 2005 corporate or individual bankruptcies filed per 1,000 population
C) would the intercept seem to have meaning in this regression
The intercept wouldn't have a meaning in this regression
Please help, I really need help, will mark brainliest
ANSWER
have it right it is -4
In the accompanying diagram of ABC, AB = 6, BC = 8, and AC = 12. Points X, Y, and Z are midpoints of AB, BC, and AC, respectively. Find the perimeter of quadrilateral XYCZ.
Answer:
cb
Step-by-step explanation:
What is the value of −|−20| + |−8| ÷ |−4| − |6|?
Find the distance between the two points in simplest radical form.
(-2,-1) and (-8,7)
Answer:
The distance in radical form is √100 (which is equal to 10units
Step-by-step explanation:
Distance=√(-8--2)²+(7--1)²
D=√(-6)²+(8)²
D=√36+64
D=√100
D=10units
12. A company advertises on a website. A worker tracked the number of visits to the
website and the number of clicks on the advertisement. The table shows the data
for several days. A linear function can be used to model the data.
Website Advertisement
Number of Visits
to Website, X
Number of Clicks
on Advertisement, y
14
153
629
38
471
30
914
53
307
21
1,045
60
510
32
1,106
63
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1,500 people visit the website?
Answer:
The answer is 83
Step-by-step explanation:
It's a build up of a continental slope
Im in 8th grade and hope this helped
can anybody help me and explain how to calculate it?
Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
1. note, that
[tex]arcsin\frac{1}{2}=\frac{\pi}{6};arcsin\frac{\sqrt{2}}{2}=\frac{\pi}{4};arcsin1=\frac{\pi }{2};arcsin\frac{\sqrt{3}}{2}=\frac{\pi}{3}[/tex]
2. after the substitution:
[tex]\frac{\pi}{6}+\frac{\pi }{4}- \frac{\pi }{2} + \frac{\pi }{3}=\frac{\pi }{4}.[/tex]
lb = 64 oz Helppppppppppppp me
[tex]5[/tex]
Answer:
no u
Step-by-step explanation: no no no no no no no no no
A dozen is how much in maths?
Answer:
well for me it's
Step-by-step explanation:
12
But a german dozen is 13
please give me brainlest
x + 5y = 8
3x = 24 - 157
Answer:
x = [tex]-\frac{133}{3}[/tex], y = [tex]\frac{157}{15}[/tex]
Step-by-step explanation:
x + 5y = 8
3x = 24 - 157
3x = 24 - 157
3x = -133
x = [tex]-\frac{133}{3}[/tex]
x + 5y = 8
[tex]-\frac{133}{3}[/tex] + 5y = 8
5y = [tex]\frac{157}{3}[/tex]
y = [tex]\frac{157}{15}[/tex]
HELPP QUICKKK its timedd
Answer:
10
Step-by-step explanation:
A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?
Answer:
14.4
Step-by-step explanation:
Given that :
Principal = 4000
Interest (r) = 6.25% compounded annually
Calculate time, t, if final amount A = 9600
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
9600 = 4000(1 + 0.0625)^t
9600 = 4000(1.0625)^t
9600/4000 = 1.0625^t
2.4 = 1.0625^t
Take the log of both sides
0.3802112 = 0.0263289t
t = 0.3802112/0.0263289
t = 14.440811
t = 14.4 ( nearest tenth)
Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent
Answer:
use calculater
Step-by-step explanation:
If a number is doubled the result is sixty
Answer:
30
Step-by-step explanation:
30x2=60
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.
f(x, y) = xy; 4x2 + y2 = 8
Answer: minimum value of f = -2 and maximum value of f = 2
Step-by-step explanation:
Given that;
f(x, y) = xy; 4x² + y² = 8
S(x,y) = xy + λ(4x² + y² - 8)
dS/dλ = 4x² + y² - 8 = 0
dS/dx = y + 8λx = 0 -> y = -8λx
dS/dy = x + 2yλ = 0 -> x + 2λ(-8λx) = x(1 - 16λ²) = x(1-4λ)(1+4λ) = 0
-> x = 0 , λ = 1/4 , λ = -1/4
x = 0 -> y = 0 -> it doesn't satisfy 4x² + y² = 8
λ = 1/4 -> y = -8λx = -2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = 2 , -2
λ = -1/4 -> y = -8λx = 2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = -2 , 2
we have 4 critical points:
(-1, 2) -> f = -2
(1, 2) -> f = 2
(-1, -2) -> f = 2
(1 , -2) -> f = -2
Therefore; minimum value of f = -2 and maximum value of f = 2
0.25 of 40 plz plz help
What is the slope of a line that passes through the following points (4, 6) and (2, 0)?
Answer:
3
Step-by-step explanation:
Step-by-step explanation:
formula to fine slope
m=tan()=y2-y1/x2-x1
HELP!!! ASAP MARKING BRAINLIEST!!!!
Answer:
A. y=1/2x-4
Step-by-step explanation:
maths
CO
Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If
she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?
a. Very likely, recurring debt is less than what is allowed.
b. Somewhat likely, recurring debt is equal to what is allowed.
C. Not likely, recurring debt is higher than what is allowed.
d. There is not enough information given to determine the answer.
C. Not likely, recurring debt is higher than what is allowed.
edge 2021
Mandy's approval based on her debt - to - income ratio is;
C: Not likely, recurring debt is higher than what is allowed.
What is Debt to income ratio?Debt to income ratio is simply the percentage of your gross monthly income that goes to paying your monthly debt payments.
Now, her annual salary is $37,580. This means that her monthly income is; 37580/12 = $3131.67
Her monthly debt servicing = $265 + $120 =$385
Using the 28/36 ratio, the maximum allowable recurring debt for someone with a monthly income of $3,200 is $256.
Since her recurring monthly debt is $385 it is more than the maximum recurrent limit and so her home loan will not be approved.
Read more about debt - to - income ratio at; https://brainly.com/question/24814852