Answer:
423,831104,840 fewerStep-by-step explanation:
Given:
281,000 homes sold through Jan 2011 was 66.3% of homes completed
378,000 homes was a 28.5% decrease from starts in 2010
Find:
(i) Homes completed in 12 months through Jan 2011
(ii) Comparison to homes started in 2010
Solution:
(i) Using the given relation, we can find homes completed through Jan 2011.
281,000 = 0.663×completed
completed = 281,000/0.663 = 423,831
__
(ii) Similarly, we can find the number of 2010 starts:
starts(1 -28.5%) = 378,000
starts = 378,000/0.715 = 528,671
The relation of completions in 2011 to starts in 2010 is ...
423,831 -528,671 = -104,840
__
Through Jan 2011, there were 423,831 homes completed, which was 104,840 fewer than the number of starts in 2010.
_____
Comment on your question
Your problem statement supplies the answer to the first question in 2(c). Part 1(b) tells you the relation between starts in 2011 and in 2010, so you can easily figure starts in 2010 from your answer to that question.
Shelia and her study partner flipped a coin 120 times they flipped 70 heads and 50 tails what is the experimental probability that the next flip will be heads ? A. 58.3% B.50% C.41.7% D.70%
Answer:
A
Step-by-step explanation:
58.3 is the possibility :)
HELP PLZ!! I NEED HELP!
Answer:
yes£18Step-by-step explanation:
The amount Lila and Wassim plan to save is ...
(£13 +13)(9) = £234
__
The charges they expect to incur are a per-person charge and a tent pitch charge. Since they expect to stay 10 nights, the special rate means they will only be charged for 8 nights.
per-person charge
per-person-per-night charge = (2 persons)(8 nights)(£6 per person-night)
= £96
tent pitch charge
To determine the tent pitch area required, we need to find the area of the tent:
A = LW = (4.2 m)(2.3 m) = 9.66 m²
This is less than 10 square meters, so we can expect the pitch charge to be £15 per night for 8 nights.
tent pitch charge = (£15/night)(8 nights) = £120
So, the total of camp site charges is expected to be ...
person charge + pitch charge = £96 +120 = £216
__
The expected savings exceeds the expected charges by ...
£234 -216 = £18
Lila and Wassim will have enough saved, with £18 extra.
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
learn more on sector here: https://brainly.com/question/22972014
#SPJ1
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
to know more about unitary method
https://brainly.com/question/28276953
Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Type the correct answer in the box.
Fill in the missing term in the equation.
(1 + 2)(2+1) + blank
= 5(2+i)
Evaluate the integral by changing to spherical coordinates:
the final result of the double integral is `(4/3)*a. we have to Integrate the inner integral with respect to z.
what is inner integral ?
An inner integral is a mathematical term that refers to the integral function that is evaluated first in a double integral.
In the given question,
To solve this double integral, we will use the following steps:
Integrate the inner integral with respect to z.
Evaluate the result of the inner integral at upper and lower limits of z.
Substitute the result of the inner integral into the outer integral and integrate with respect to y.
Evaluate the result of the outer integral at the upper and lower limits of y.
Simplify the expression.
Now, let's apply these steps to solve the given double integral:
Integrate the inner integral with respect to z:
∫(x²*z + y²*z + z³) dz = x²/2*z² + y²/2*z² + z^4/4 + C
where C is the constant of integration.
Evaluate the result of the inner integral at the upper and lower limits of z:
(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)
- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)
Substitute the result of the inner integral into the outer integral and integrate with respect to y:
markdown
∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)
- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy
Evaluate the result of the outer integral at the upper and lower limits of y:
= ∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy
from y = -sqrt(a²-x²) to y = sqrt(a²-x²)
= (2/3)*x²*(a²-x²)¹⁵ + (2/3)*(a²-x²)²⁵
- (2/3)*x²*(-a²+x²)¹⁵ + (2/3)*(-a²+x²)²⁵
Simplify the expression:
= (4/3)*a³ - (4/3)*a*x²
Therefore, the final result of the double integral is `(4/3)*a
To know more about inner integral , visit:
https://brainly.com/question/30490226
#SPJ1
Ill give 15 points Just answer it pleaseeeeeee
Answer:
Miling saves more because he saves 15 dollars a week while Daniel saves 10 dollars a week 10 dollars is less than 15 dollars
Mikey johnson shipped out 34 2/7 pounds of electrical supplies . The supplies are placed in individual packets that weigh 2 1/7 pounds each . How many packets did he ship out ?
Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.
To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.
We are given that the weight of each packet is 2 1/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.
Therefore, the weight of each packet is 15/7 pounds.
Now, divide the total weight by the weight of each packet.
We are given that the total weight of the supplies shipped out is 34 2/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.
Therefore, the total weight of the supplies is 240/7 pounds.
To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.
This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.
Therefore, Mikey shipped out 16 packets of electrical supplies.
For more such questions on electrical supplies, click on:
https://brainly.com/question/24015026
#SPJ8
Please help the question and answer choices are in the picture.
Answer:
B) 20
Step-by-step explanation:
2808 lb. / 140 lb. ≈ 20
Many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.63. This can be expressed as
P(call is for medical assistance) = 0.63.
(b) What is the probability that a call is not for medical assistance?
(c) Assuming that successive calls are independent of one another, calculate the probability that two successive calls will both be for medical assistance.
(d) Still assuming independence, calculate the probability that for two successive calls, the first is for medical assistance and the second is not for medical assistance.
(e) Still assuming independence, calculate the probability that exactly one of the next two calls will be for medical assistance. (Hint: There are two different possibilities. The one call for medical assistance might be the first call, or it might be the second call.)
(b) The probability that the call is not for medical assistance = 0.37
(c) The probability that two successive calls will both be for medical assistance = 0.3969
(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331
(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662
Define Probability.The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:
Probability (Event) = Positive Results/Total Results
= x/n
Given P (call for medical assistance) = 0.63
This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:
P (Not Medical Assistance) = 1 - P (Medical Assistance)
= 1 - 0.63
= 0.37
Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:
P (2 calls for medical assistance)
= 0.63 × 0.63
= 0.3969
The probability that the first is for medical assistance and the second is not for medical assistance will be:
P (1st for medical assistance × 2nd for not medical assistance)
= 0.63 × 0.37
= 0.2331
The probability that exactly one of the next two calls is going to be for medical assistance will be:
P (Exactly 1 call for medical assistance)
= (0.63×0.37) + (0.63×0.37)
= 0.2331 + 0.2331
= 0.4662
To know more about probability, visit:
https://brainly.com/question/30034780
#SPJ1
Maria's wages are $2400 plus 3.5% commission on monthly sales. A. Write a function expressing the relationship between Maria's wages, w , and her monthly sALes x
Answer: x(0.035)+w
Step-by-step explanation:
to find out the percent she gets from sales you multiply that by the percent she earns then add it to the 2400 which she already makes
What is the area of a triangle with a base of 4ft 7/8 and a height of 8 ft?
HELP PLEASE
Answer:
19 1/2 feet^2
Step-by-step explanation:
The formula is (1/2)bh.
So, (1/2)(4 7/8)(8)
You will get 19 1/2 feet^2.
Answer:
19 1/2 ft^2
Step-by-step explanation:
4 7/8 x 8 =39
39 ÷ 2 = 19 1/2
yan po yung correct answer.
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
For more such questions on coordinates
https://brainly.com/question/29660530
#SPJ8
on their next training run, pepe averaged a speed of 2/3 of a mile in 5 minutes, while paula averaged 1/4 of a mile in 2 minutes. if pepe and paula each ran at their individual pace for 60 minutes, how many total miles did they cumulatively run?
Answer:
15.5
Step-by-step explanation:
Pepe= 2/3 x 12 = 8
Paula= 1/4 x 30 = 7.5
8+7.5=15.5
which expressions are equivalent to 4m+12. Chose all that apply
Answer:
✔️4(m + 3)
✔️6m - 2m + 12
Step-by-step explanation:
✔️4(m + 3)
4*m +4*3 (distributive property
4m + 12
Therefore, 4(m + 3) = 4m + 12
✔️6m - 2m + 12
4m + 12
Therefore, 6m - 2m + 12 = 4m + 12
✔️3m - m + 12
2m + 12
Therefore, 3m - m + 12 ≠ 4m + 12
✔️4(m + 12)
4*m + 4*12
4m + 48
Therefore, 4(m + 12) ≠ 4m + 12
These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x= 7 to x = 8?
X
0
1
23
4
5
6
y
-1
-2
-5
-10
-17
-26
-37
Interval
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
679
-11
3-2
0-2
0-2
0-2
3-2
d
The average rate of change for the interval from x = 7 to x = 8 is 35.
To calculate the average rate of change for the interval from x = 7 to x = 8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.
Let's calculate it step by step using the given table
For the interval from x = 7 to x = 8 x1 = 7, y1 = -37 x2 = 8, y2 = -2 Difference in y- values Δy = y2- y1 = -2-(- 37) = 35
Difference inx-values Δx = x2- x1 = 8- 7 = 1
Average rate of change = Δy/ Δx = 35/ 1 = 35
Thus, the average rate of change for the interval from x = 7 to x = 8 is 35. Note: It's important to mention that the values calculated then are grounded solely on the given data. Please insure you corroborate the delicacy of the handed data and environment before using the answer in any important or critical operations.
For more such questions on rate of change, click on:
https://brainly.com/question/25184007
#SPJ8
he roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
PLS HELP I WILL MARK BRAINILEST
Answer:
Let's assume the original price of the stock was x.
When the company announced it overestimated demand, the stock price fell by 40%.
So, the new price of the stock after the first decline was:
x - 0.4x = 0.6x
A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.
So, the new price of the stock after the second decline was:
0.6x - 0.6(0.6x) = 0.24x
Given that the current stock price is $2.40, we can set up the equation:
0.24x = 2.40
Solving for x, we get:
x = 10
Therefore, the stock was originally selling for $10.
What is the value of x?
10
2x
Answer:
The only way of getting to 10 using 2x it should mean that x = 5
2 * 5 = 10
What point on the number line below represents the opposite of -4
A few years ago, it came as a surprise when Apple's iPhone 4 was found to have a problem. Users complained of weak reception, and sometimes even dropped calls, when they cradled the phone in their hands in a particular way. A survey at a local store found that 2% of iPhone 4 users experienced this reception problem. a. Determine whether the following statement is true or false. The population is all iPhone 4 users. multiple choice 1 True False b. Does 2% denote the population parameter or the sample statistic?
Answer:
1. False.
2. Sample statistic
Step-by-step explanation:
1. The population in particular of the survey carried at a local store represents not the entire population of iPhone users, but of the selected sample of users only within the local store.
2. Remember, sample statistics refers to a part of a larger population selected in other fairly represent the whole population. Hence it logical to conclude that the 2% denote the sample statistics of those who experienced the reception problem.
URGENT simplify (5^3 x 5^5)^5
Answer:
5^40
Step-by-step explanation:
Step 1: Multiply the exponents within the parentheses with the exponent outside of the parentheses.
\((5^3^*^5)(5^5^*^5)\) \((5^1^5)(5^2^5)\)Step 2: Based on the laws of exponents, add the exponents together.
\(5^(^1^5^+^2^5^)\) \(5^4^0\)Therefore, the answer is 5^40.
Can anyone help with this?
The logarithmic function expresses the output variable, y, as a function of the logarithm of the input variable, x, as a function of a base b. The true statements are therefore;
I, II, and III onlyWhich statements are true based on the definition of a logarithm?The given logarithmic equation is presented as follows;
\(y = log_{b}(x) \)
Therefore, we have;
\(x = {b}^{y} \)
Where b = 1, we have that x will always be 1, therefore;
b ≠ 1Option III is true\(b = \sqrt[y]{x} \)
Therefore;
x > 0Option I is trueWhich gives;
b > 0Option II is trueThe statements that are true is therefore;
I, II, and III onlyLearn more about logarithms and logarithmic functions here:
https://brainly.com/question/13473114
#SPJ1
Jeremiah's new running sneakers cost $95. Their
state also has a 6.35% sales tax. How much will
Jeremiah have to pay for the sneakers, including
sales tax?
Answer:
$101.03
Step-by-step explanation:
two ways to solve:
95 x 1.0635=101.03
or
95 x .0635=6.03 sales tax paid
sales price 95 + sales tax 6.03 = total paid $101.03
A chef makes batches of dumpling wrappers for shrimp dumplings. She uses 2 cups of flour
for each batch and a total of an additional cup of flour to keep the dough from sticking.
She uses 21 cups of flour to make n batches of dumpling wrappers. How many batches of
dumpling wrappers does the chef make?
Answer:
7 batches
hope this helps
Step-by-step explanation:
1 n (batches of dumpling wrappers) = 3 cups flour
n = 21 / 3
n = 7
The chef can make 7 batches of dumpling wrappers :D.
Find the value of x.
Answer:
i think x is 36
Step-by-step explanation:
3x + 2x = 180
Please please help me!!
2(x + 2) + 2 = 2(x + 3) + 1
2x + 3(x + 5) = 5(x – 3)
4(x + 3) = x + 12
4 – (2x + 5) = (–4x – 2)
5(x + 4) – x = 4(x + 5) – 1
n =
Answer:
No solution
Step-by-step explanation:
5(x + 4) – x = 4(x + 5) – 1
x = ?
Solution:
5(x+4)−x=4(x+5)−1
Apply Distributive property:
(5)(x)+(5)(4)−x=(4)(x)+(4)(5)−15x+20−x=4x+20−1Combine Like Terms:
(5x−x)+(20)=(4x)+(20−1)4x+20=4x+194x+20=4x+19Subtract 4x from both sides:
4x+20−4x=4x+19−4x20=19Subtract 20 from both sides:
20−20=19−200=−1There isn't any solutions.
A group of students has conducted an experiment to investigate which enzyme (cellulase or pectinase) or combination of the two enzymes would produce the most apple juice from small chunks of apples. They mixed the specified amount of each enzyme with 50 grams of apple sauce and then filtered the apple juice for 15 minutes into a graduated cylinder. They repeated the control and experimental groups for a total of 5 trials each. The students' results are given below. Table 5. Apple Juice Production Amount of Apple Juice Produced from Apple Sauce (mL) 10 drops of cellulase 5 drops of pectinase+5 drops of cellulase 10 10 drops of 10 drops of water pectinase 12.5 0.71 Mean of 5 trials St. Dev. SEx 95% CI 3.5 0.61 0.50 0.82
Calculate the standard error of the mean (SE) and 95% confidence interval for the control and experimental groups.
Answer:
Explained below.
Step-by-step explanation:
The information provided is:
Mean Standard Deviation
10 drops of water 4 0.61
10 drops of cellulase 3.5 0.50
10 drops of pectinase 12.5 0.71
5 drops of pectinase 10 0.82
+ 5 drops of cellulase
Calculate the standard error of the mean (SE) and 95% confidence interval for the group "10 drops of water" as follows:\(SE=\frac{s}{\sqrt{n}}=\frac{0.61}{\sqrt{10}}=0.192899\approx 0.1929\)
\(CI=\bar x\pm t_{\alpha/2}\times SE\\\\=4\pm 2.262\times 0.1929\\\\=(3.5636602,\ 4.4363398)\\\\\approx (3.56, 4.44)\)
Calculate the standard error of the mean (SE) and 95% confidence interval for the group "10 drops of cellulase " as follows:\(SE=\frac{s}{\sqrt{n}}=\frac{0.50}{\sqrt{10}}=0.1581139\approx 0.1581\)
\(CI=\bar x\pm t_{\alpha/2}\times SE\\\\=3.5\pm 2.262\times 0.1581\\\\=(3.1423778,\ 3.8576222)\\\\\approx (3.14, 3.86)\)
Calculate the standard error of the mean (SE) and 95% confidence interval for the group "10 drops of pectinase" as follows:\(SE=\frac{s}{\sqrt{n}}=\frac{0.71}{\sqrt{10}}=0.2245217\approx 0.2245\)
\(CI=\bar x\pm t_{\alpha/2}\times SE\\\\=12.5\pm 2.262\times 0.2245\\\\=(11.992181,\ 13.007819)\\\\\approx (11.99, 13.01)\)
Calculate the standard error of the mean (SE) and 95% confidence interval for the group "5 drops of pectinase + 5 drops of cellulase" as follows:\(SE=\frac{s}{\sqrt{n}}=\frac{0.82}{\sqrt{10}}=0.25930677\approx 0.2593\)
\(CI=\bar x\pm t_{\alpha/2}\times SE\\\\=10\pm 2.262\times 0.2593\\\\=(9.4134634,\ 10.5865366)\\\\\approx (9.41, 10.59)\)
The critical value of t is computed using the t-table for 95% confidence level and (n - 1) 9 degrees of freedom.
SOLVE this equation.
0.5r+5=r-8
Answer:
r = 26
Step-by-step explanation:
Let's solve the problem,
→ 0.5r + 5 = r - 8
→ r - 0.5r = 5 + 8
→ 0.5r = 13
→ r = 13/0.5
→ [ r = 26 ]
So, the value of r is 26.