Add the two houses together:
135000 + 160000 = 295,000
Multiply the total by the percentage:
295,000 x 0.06 = $17,700
He earned $17,700
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:
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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.
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:
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!
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]
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
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
How many square feet are in 15 square yards
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!
Select the reason why these triangles are
similar. If they are not, select "Not similar".
8
12
5
7
6.25
10
A. AA
B. SAS
C. SSS
D. Not similar
The triangles of the dimensions are not similar by any property of similarity. Thus option D is correct.
Concept of similarity : Two triangles can be similar by AAA, SAS, SSS property .
Given,
Two triangles with different side lengths.
Here,
The two triangles are similar if they have same shape , but can be of different sizes and corresponding sides are of same proportions.
Here,
Triangles are of same shape but the corresponding sides are not in same proportions.
∴ 8/5 = 10/6.25 ≠ 12/7
Therefore the two triangles are not similar.
Know more about similar triangles,
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Greg is saving up for a new cell phone that will cost him $550: He
already has $300 saved. If he would like to buy the phone in four weeks,
how much must he save each week if he plans to have at least $550? *
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)
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:
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.
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
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.
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
3.6(x + 2) - 6 = 3.6x + 1.2
Answer:
3.6(x + 2) - 6 = 3.6x + 1.2 can change it on him
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
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
You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent
Answer:
the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
Step-by-step explanation:
As given , RST and angle TUR are right angles.
So the triangles are right angle triangles.
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
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!!!
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
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.
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
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?
What do the factors in the factored form represent?
Answer:
the factored form tells you times at which the object's height is zero.
Step-by-step explanation:
Hope that helps
Have a good day
Answer:
The polynomial -8x2 + 54x + 140 can be factored as (x + 2)(-8x + 70).
The factor (x + 2) represents the final price per hot dog after increasing it from the starting price of $2, where x is the number of $1 increases in price.
The factor (-8x + 70) represents the average number of hot dogs sold based on the price increase. For every $1 increase in price, the number of hot dogs sold declines by 8. So, if the price increases by x dollars, the number of hot dogs sold declines by 8x. Since the number of hot dogs sold without the price increase is 70, the number of hot dogs after a price increase is -8x + 70.
Step-by-step explanation:
PLATO
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??
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.