Answer:
-4,-5
Step-by-step explanation:
Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.
4(-24 - 4y) - 2y = -6
-96 -16y -2y = -6
-18y = 90
y = -5
Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4
At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selected. Consider two sampling methods: with replacement and without replacement. How will the methods affect the standard deviations of the sampling distribution of the sample proportion of employees from department B
Answer:
B: Sampling without replacement will result in a standard deviation less than but close to √0.4(0.6)/500
.Step-by-step explanation:
answer on khan academy
Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex] and this can be determined by using the standard deviation formula.
Given :
At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selected.Consider two sampling methods: with replacement and without replacement.1) With Replacement --
The standard deviation is given by the formula:
[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}}[/tex] ---- (1)
where the value of 'p' is given by:
[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]
Now, substitute the value of p and n in the equation (1).
[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}}[/tex]
[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(0.6)}{500}}=0.02190[/tex]
2) Without Replacement --
The standard deviation is given by the formula:
[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}\times \left(1-\dfrac{n-1}{N-1}\right)}[/tex] ---- (2)
where the value 'p' is given by:
[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]
Now, substitute the value of p, n, and N in equation (2).
[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}\times \left(1-\dfrac{500-1}{10000-1}\right)}[/tex]
Simplify the above expression.
[tex]\rm \hat{p} = 0.1442[/tex]
So, from the above calculation, the correct option is C) Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex].
For more information, refer to the link given below:
https://brainly.com/question/23044118
The sales Amount is 12,500.00, and 5% sales tax
a. what's is sales tax?
b. What's the total amount paid?
Answer:
Step-by-step explanation:
a.A sales tax is a consumption tax imposed by the government on the sale of goods and services.
b.12500x5%=625
compará y ordena de mayor a menor las siguientes cantidades 23.4 ,15/20 ,32.245,.056,4/10,50/100,8/9,.009,9/1000 y 54.45
Answer:
El orden de mayor a menor es:
54.45 ; 32.245 ; 23.4 ; 8/9 ; 15/20 ; 50/100 ; 4/10 ; 0.056 ; 9/1000
Step-by-step explanation:
El mayor número será el que tenga el mayor entero, o si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha, o si tienen el mismo se observa el siguiente decimal y así sucesivamente.
Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.
Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:
23.4
15/20= 0.75
32.245
0.056
4/10= 0.4
50/100= 0.5
8/9= 0.8888
0.009
9/1000= 0.009
54.45
Entonces el orden de mayor a menor es:
54.45 ; 32.245 ; 23.4 ; 8/9 = 0.8888 ; 15/20 = 0.75 ; 50/100 = 0.5 ; 4/10 = 0.4 ; 0.056 ; 9/1000 = 0.009
Consider this system of linear equations;
y=-3x + 5
y= mx + b
Which values of m and b will create a system of linear equations with no solution?
m = -3 and b = -3
m = 5 and b = -3
m = 3 and b = 5
m = -3 and b = 5
Answer:
The values of [tex]m_{2}[/tex] and [tex]b_{2}[/tex] that will create a system of linear equations with no solution are [tex]m_{2} = -3[/tex] and [tex]b_{2} = -3[/tex].
Step-by-step explanation:
An example of a system of linear equations are two lines parallel to each other. In other words, there are two lines such that:
[tex]y = m_{1}\cdot x + b_{1}[/tex] (1)
[tex]y = m_{2}\cdot x + b_{2}[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m_{1}[/tex], [tex]m_{2}[/tex] - Slope.
[tex]b_{1}[/tex], [tex]b_{2}[/tex] - y-Intercept.
If both lines are parallel to each other, then we must observe these two conditions:
1) [tex]m_{1} = m_{2}[/tex]
2) [tex]b_{1} \ne b_{2}[/tex]
Therefore, the values of [tex]m_{2}[/tex] and [tex]b_{2}[/tex] that will create a system of linear equations with no solution are [tex]m_{2} = -3[/tex] and [tex]b_{2} = -3[/tex].
Answer:
m=-3 and b=-3 on ed
Step-by-step explanation:
just did it
Which expression is equivalent to the given expression?
8(3/4a) - 8
A. 3/4a
B. 6a
C. 8 (3/4a - 1)
D. 3/4a - 1
Find the value of EC.
13
12
E
B
EC = [?]
Answer:
8Step-by-step explanation:
NOT 5.
_____________________
Firstly note that the radius of the circle is 13 ( centre to D )
Thus the distance from B to the centre is 13
Thus B → E → centre is a right triangle and distance from centre to E (x) can be calculated using Pythagoras' identity, that is
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = = 5
The distance from the centre to C ( the radius ) is 13, thus
x + EC = 13, that is
5 + EC = 13 ( subtract 5 from both sides )
EC = 8
Answer:
The answer is 8
Step-by-step explanation:
Solve for 3(2x-1)+7=6x-3-2(-4x)
Answer:
x = 1.14
Step-by-step explanation:
3(2x - 1) + 7 = 6x - 3 - 2(-4x) [Given Equation]
6x - 3 + 7 = 6x - 3 + 8x [Distributive Property]
6x + 4 = 14x - 3 [Combine like-terms]
-8x + 4 = -3 [Subtraction Property of Equality]
-8x = -7 [Subtraction PoE]
x = 1.14 [Division PoE]
UberEats claim that they will deliver the food on-time 96% of the time. During that day there were 2,750 deliveries in the city of Houston. How many of those deliveries were NOT on time?
A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°.
How long is the dart in the air? Round to the nearest tenth
A. 0.7
B. 0.8
C. 1.5
D. 1.6
Answer:
D
Step-by-step explanation:
Plugged it into a projectile motion calc, got 1.58. So 1.6 (rounded).
Compare the two fractions using , or =. 1/2 1/4
Answer:
1/2 > 1/4
Step-by-step explanation:
1/2 = 2/4
2/4 > 1/4
Answer:
1/2 > 1/4
Step-by-step explanation:
1/2= 2/4
2/4 > 1/4
Which graph represents an even function?
Answer: last graph
Step-by-step explanation: Graphs of functions that are ODD, are symmetric about the origin.
Graphs of function that are EVEN, are symmetric about y-axis.
We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.
Graph 1, 2, 3 ---- not symmetric about y-axis
Graph 4 ------- Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.
Hi, can someone help me understand how to do this.I tried and I got confused and I was confident my answers were right but I got them wrong.These problems have to do with Quadratic applications I believe.
The answer is c  Explanation :
Answer:
answer c
Step-by-step explanation:
Principal: $35000
Rate: 2%
Time: 6 Years
What is the simple interest made?
Answer:
$4200
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year,
then, solving our equation
I = 35000 × 0.02 × 6 = 4200
I = $ 4,200.00
The simple interest accumulated
on a principal of $ 35,000.00
at a rate of 2% per year
for 6 years is $ 4,200.00.
Answer:
I’m thinking $4200
Step-by-step explanation:
Because 35k at 2% for 6 years will get you that
Write the equation for line in slope intercept form, given the point (3,-7) and slope = 9.
Answer:
y = 9x - 34
Step-by-step explanation:
(3 , -7) ; slope (m) = 9
Slope intercept form:
y - y1 = m(x -x1)
y - [-7] = 9 (x - 3)
y + 7 = 9*x - 9*3
y + 7 = 9x - 27
y = 9x - 27 - 7
y = 9x - 34
You have already saved $55. You earn $9 per hour at your job. You are
saving for a bicycle that costs $199. What inequality represents the possible
numbers of hours you need to work to buy the bicycle?
Answer:
$55+$9x≥$199
You must work for at least 16 hours to be able to buy the bicycle.
Step-by-step explanation:
Let x represent the number of hours you need to work to buy the bicycle.
You already have $55.
⇒$55+ −−−−−≥ −−−−−
You also earn $9 per hour.
Algebraically, this can be written as 9x.
⇒$55+$9x≥ −−−−−
You need to earn at least $199 to buy the bicycle.
⇒$55+$9x≥$199
The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.
Let's find out how many hours you need to work to buy the bicycle.
Subtracting $55 from both sides of the inequality:
⇒$55−$55+9x≥$199−$55
⇒$9x≥$144
Dividing both sides by $9:
⇒$9x$9$=$144$9
∴x≥16
Therefore, you need to work at least 16 hours to afford the bicycle.
The formula for the cost of buying a car is:
cost = 12 X monthly payment + deposit
a) Find the cost of a car when the monthly payment is £350 and
the deposit is £2000.
b) The cost of another car is £8000.
Find the monthly payment when the deposit is £2600.
Answer:
a) The cost of buying this car is of £6200.
b) The monthly payment is of £450.
Step-by-step explanation:
The cost of buying a car is given by:
cost = 12 X monthly payment + deposit
a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.
So
cost = 12*350 + 2000 = 4200 + 2000 = 6200
The cost of buying this car is of £6200.
b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.
Again, the formula is applied. So
cost = 12 X monthly payment + deposit
8000 = 12x + 2600
12x = 5400
x = 5400/12
x = 450
The monthly payment is of £450.
if sin=3 by 5 and cos =4 by 5 find tan
Answer:
3/4Step-by-step explanation:
[tex]tan = \frac{sin}{cos } [/tex]
=3/5/4/5
=3/5 × 5/4
=15/20
=3/4
What is the quotient of 1+ 3 Over 4 and 2 over 5
Answer:
2 1/2
Step-by-step explanation:
(These are fractions)
1+3 ÷ 2
4 5
(Simplify)
4 ÷ 2
4 5
(Same denominator)
20 ÷ 8
20 20
(Divide)
2 1/2
figure abcd is similar to figure mnkl if ab = 2x + 1, bc= 12, mn = 8, nk=7 and kl=13, what is the value of x
Step-by-step explanation:
are this form 1 question??
Can you guys please help me !!
Answer:
EHD=57°
BEING CORRESPONDING ANGLE
Answer:
57°
Step-by-step explanation:
It's a corresponding angle so EHD is the same as EGB
please help me with this answer
Answer: B. 2x^4+12x^2-8
Step-by-step explanation: x^2+4x+2 x 2x^2+3x-4
x^2 x 2x^2+4x+3x+2-4
2x^4+12x^2-8
I think its B because the question does say that you have to multiply.
3 (x + 7) = -12
x + 7 = ?
x = ?
Find out ? fast
Answer:
×=-11
Step-by-step explanation:
3x+21=-12
3×=-33
×=-11
Answer:
x=-11
x+7=-4
Step-by-step explanation:
3(x+7)=-12
3x+21=-12
3x=-12-21
3x=-33
x=-33/3
x=-11
-11+7=-4
Planets in Earth’s Solar System are grouped according to their distance from the Sun. Which choice correctly identifies an inner planet and an outer planet and their correct characteristics?
Answer:
its inner mars made of gas
and outer Jupiter made of rock
Step-by-step explanation:
i am in high school trust me
Answer:
inner venus made of rock
outer neptune made of gas
Step-by-step explanation:
inner planets are made of rock
outer planets are made of gas
inner planets: mercury, venus,earth. and mars
outer planets: jupiter,saturn,uranus and neptune
hope that helped!!!
Please help! I may have more to ask!!
Answer:
Perimeter = 26.85 in.
Step-by-step explanation:
Perimeter of a figure = Sum of the lengths of the boundaries of the figure
In the figure attached,
There is a parallelogram with side lengths 5 in, 7 in and 7 in.
And a semicircle with radius 'r' = [tex]\frac{5}{2}[/tex] = 2.5 in
Now the circumference of the semicircle = πr
= π(2.5)
= 7.85 in.
Now the perimeter of the total figure = 7 + 5 + 7 + 7.85
= 26.85 in.
Therefore, perimeter of the figure is 26.85 in.
The equation y = 180 + 5x represents the amount the cheerleaders will pay a company for custom stadium blankets, where x represents the number of blankets purchased and y represents the total cost in dollars.
The equation y = 10x represents the club's income from selling the blankets, where y represents the money earned in dollars and x represents the number of blankets sold. The graph below represents this situation.
Assuming that the club members sell all the stadisum blankets they purchase, when will the club make a profit?
A-When 36 blankets are sold
B-When 360 blankets are sold.
C-When 37 or more blankets are sold.
D-When 35 or fewer blankets are sold.
WILL GIVE BRAINLIEST FOR A CORRECT ANSWER:
A boat travels for 3 hours with a current of 3 mph, and returns back in 4 hours. How far did the boat travel in one way?
Answer:
Solution:
the boat's speed in still water: x
The speed with current: (x+3)
The speed against current: (x-3)
The equation is
3(x+3) = 4(x-3)
x = 21 mph
The distance = 3*(21+3)= 72 miles
I choose (A)
Step-by-step explanation:
Answer:
72 Miles
Step-by-step explanation:
If p= -7 and r = 1/2, what does pr - r equal
A) -4
B) -3
C) 3
D) 4
Answer:
Step-by-step explanation:
Factor the expression.
pr - r = r(p-1) = ½(-8) = -4
Answer:
-4
Step-by-step explanation:
pr = -7 × 1/2-7 × 1/2 = -3.5-3.5 - r = -3.5 - 1/2-3.5 - 1/2 = -3.5 - 0.5-3.5 - 0.5 = -4I hope this helps!
Harriet believes that the function y = 11x is linear, while Paul believes that it is not linear. Who is right, and why?
Answer: Harriet is correct
Step-by-step explanation: Harriet is correct because if you graph it, it will turn out to be a straight line. It uses the equation y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. Hope this helps!
The temperatures at four locations are 5°, –15°, –7°, and 0°.
Which list shows these temperatures from coldest to warmest?
A. –15°, –7°, 0°, 5°
B. 0°, 5°, –7°, –15°
C. 5°, 0°, –7°, –15°
D. –15°, –7°, 5°, 0°
Answer:
A
Step-by-step explanation:
57:22 5 What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4,-3)? 2 1 (-1, 1) 513 2 1 2 3 4 % Oy+3= -41%+4) Oy+3= *(** 4) Oy+3 = *(+4) Oy+ 3 = 4(x + 4) 0,-3) Mark this and return Save and Exit Next Submit
Answer:
C. y + 3 = ¼(x + 4)
Step-by-step explanation:
✔️Find the slope of the given line:
Slope = ∆y/∆x = -(4/1) = -4
The line that is perpendicular to the given line on the graph would have a slope that is the negative reciprocal of -4.
Thus, the slope of the line that is perpendicular to the line on the graph would be ¼.
m = ¼.
Since the line passes through (-4, -3), to write the equation in point-slope form, substitute a = -4, b = -3, and m = ¼ into y - b = m(x - a)
Thus:
y - (-3) = ¼(x - (-4))
y + 3 = ¼(x + 4)