well, the number is really "x", which oddly enough is the 100%.
we also know that 3/4% of "x" is 24, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\[1em] 24&\frac{3}{4} \end{array}\implies \cfrac{x}{24}~~ = ~~\cfrac{100}{~~ \frac{3 }{4 } ~~}\implies \cfrac{x}{24}=\cfrac{400}{3} \\\\\\ 3x=9600\implies x=\cfrac{9600}{3}\implies x=3200[/tex]
Find the length of the midsegment of each trapezoid.
W
P
17.5
A) 12.7
C) 13.1
?
V 6.1
U
Q
T
B) 8.2
D) 11.8
Answer questions but the top being the following instead of image
Investment a: $3,000 invested for six years compounded, semi annually at 6%
Investment b: $4000 invested for four years compounded quarterly at 2.7%.
Answer:
B will get more $
Step-by-step explanation:
3000 annual rate 6% so half a year is 3%, compounding semiannually for 6 years = 12 times
so 3000*(1+3%)^12 =4277.28
$4000 invested for four years compounded quarterly at 2.7%. so every quater is 2.7%/4 =0.675%, compounding quarterly for 4 years = 16 times
so 4000*(1+0.675%)^16=4454.57
A professor at a large university is interested in determining whether students who have a roommate is associated with the number of hours they are able to study for classes. A simple random sample of 100 students in the university was taken, and each student was asked the following two questions:
1. Do you currently have a roommate?
2. How many hours do you study per week?
The responses of the 100 students are summarized in the frequency table.
Hours Studied Per Week
Roommate Status
Total
No Roommate
One Roommate
Three
15
15
30
Five
20
26
46
More than five
10
14
24
Total
45
55
100
Part A: Calculate the proportion of students in the sample who have a roommate and who study for at least five hours. Also, calculate the proportion of students in the sample who do not have a roommate and who study for at least five hours. (5 points)
Part B: The responses of the 100 students are summarized in the segmented bar graph shown.
A horizontal bar chart is shown with two bars, One Roommate and No Roommate; separated into three sections, Three Hours, Five Hours, More Than Five Hours. Section percentages are for One Roommate, three hours, 27 percent; for One Roommate, five hours, 47 percent; for One Roommate, more than five hours, 26 percent; and for No Roommate, three hours, 33 percent; No Roommate, five hours, 45 percent and for No Roommate, more than five hours, 22 percent.
Write a few sentences summarizing what the graph reveals about the association between roommate status and the amount of hours studied each week among the 100 students in the sample. (5 points) (10 points)
a) The proportion of students at the large university who have a roommate and study for at least five hours is 40%.
b) On average, students with a roommate study for hours more than those with no roommates.
What are proportions and averages?Ratios equated to each other are described as proportions.
Proportion is a part of a whole. Proportions are depicted as decimals, fractions, and percentages.
Average refers to the mean of the data set.
Averages are computed as the quotients of a numerator in relation to a denominator.
Hours Studied Roommate Status Total
Per Week No Roommate One Roommate
Three 15 15 30
Five 20 26 46
More than five 10 14 24
Total 45 55 100
The proportion of students who have a roommate and study for at least five hours = (26+ 14)/100 = 40%
Section Percentages:One Roommate
Three hours 27%
Five hours = 47%
More than five hours = 26%
No Roommate
Three hours 33%
Five hours = 45%
More than five hours = 22%
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Do shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after Christmas? The 57 randomly surveyed shoppers on the day after Thanksgiving spent an average of $135. Their standard deviation was $49. The 55 randomly surveyed shoppers on the day after Christmas spent an average of $147. Their standard deviation was $32. What can be concluded at the
α
= 0.05 level of significance?
The conclusion of the test hypothesis at the significance level of 0.05 is given as follows:
The results are statistically insignificant at the significance level of 0.05, meaning that there is insufficient evidence to conclude that the mean on the day after Thanksgiving is less than the mean on the day after Christmas.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is not greater than 135, that is:
[tex]H_0: \mu = 135[/tex]
At the alternative hypothesis, it is tested if the mean is greater than 135, hence:
[tex]H_1: \mu > 135[/tex]
What is the test statistic?The test statistic is given by the equation presented as follows:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard error.The parameters for this problem are given as follows:
[tex]\overline{x} = 147, \mu = 135[/tex]
The standard error is obtained as follows:
[tex]s = \sqrt{\left(\frac{49}{\sqrt{57}\right)^2 + \left(\frac{32}{\sqrt{55}\right)^2}}[/tex]
s = 7.79.
Hence the test statistic is of:
t = (147 - 135)/7.79
t = 1.54.
What are the p-value and conclusion?The p-value of the test is obtained considering a right-tailed test, as we are testing if the mean is greater than a value, with 57 + 55 - 2 = 110 df and t = 1.54.
Using a t-distribution calculator, the p-value is given as follows:
0.0632.
Greater than the p-value, hence the result is not significant.
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The line plot shows the distance Lena walks each day for 10days. Each X represents Iday
Distances Walked
How many miles does Lena walk in 10days?
OA 23 miles
OB 11 miles
OC. 10 miles
OD. 19 miles
XX
X X
X.
Xx
X
X X
X
X
1 1 1 1 2 2 2 2 3
Distance (miles
Answer: Lena walks 63 miles in 10 days.
Step-by-step explanation:
To find out how many miles Lena walks in 10 days, you need to add up all the distances she walks each day.
From the information provided, it seems that the distances walked each day are:
23 miles, 11 miles, 10 miles, 19 miles and the remaining days is not given.
So, to find the total miles Lena walks in 10 days, you would add up the distances walked each day:
23 + 11 + 10 + 19 = 63 miles
So, Lena walks 63 miles in 10 days.
The total miles in 10 days will bed 14 miles. The closest option is OD, which is 19 miles.
How to calculate the distance covered?To find the total distance Lena walks in 10 days, we need to add up all the distances on the line plot:
Starting from day 1, we can count the distances and add them up:
On day 1, Lena walks 1 mile
On day 2, Lena walks 2 miles
On day 3, Lena walks 1 mile
On day 4, Lena walks 1 mile
On day 5, Lena walks 2 miles
On day 6, Lena walks 1 mile
On day 7, Lena walks 2 miles
On day 8, Lena walks 1 mile
On day 9, Lena walks 1 mile
On day 10, Lena walks 2 miles
Adding up all these distances, we get:
1 + 2 + 1 + 1 + 2 + 1 + 2 + 1 + 1 + 2 = 14
Therefore, Lena walks a total of 14 miles in 10 days.
Thus, the closest option is OD, which is 19 miles.
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Please help me with the following question.
If one order is selected, the probability of getting an order that is not accurate is 0.236.
What is probability in maths?Probability is a measure of the likelihood of an event occurring. The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. Scientific probability is built on the basis of probability theory.
The calculation is;
P(Not accurate ) is equal to [n(Not accurate) + (Not accurate)- n] /Total
Thus, we have;
P(Not accurate) is calculated as follows:
(60 + 32 + 12 + 38 + 122 + 12 - 12)/(280 + 245 + 122 + 331 + 60 + 32 + 12 + 38).
P(Not accurate) = 264/1120
P(Not accurate ) = 0.236
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If 7 more than twice a number is 5 less than three times the same number, what is the number?
Answer:
12
SolutionLet X be the unknown number we are supposed to find.
Given information from the question, we can form up an equation:
2X + 7 = 3X - 5
3X - 2X = 7 + 5
X = 12
Therefore the unknown number is 12
14. Ryan owns a small music store. He currently charges $10 for each CD. At this price, he sells about 80 CDs a week. Experience has taught him that a $1 increase in the price of a CD means a drop of about five CDs per week in sales. At what price should Ryan sell his CDs to maximize his revenue?
Answer: Ryan should sell his CDs for $13 to maximize his revenue.
Step-by-step explanation:
To find the price at which Ryan should sell his CDs to maximize his revenue, we need to use the information provided about the relationship between price and sales, and the formula for revenue (price x quantity sold).
Step 1: Identify the relationship between price and sales. We know that a $1 increase in the price of a CD leads to a drop of 5 CDs per week in sales.
Step 2: Create an equation that relates price, quantity sold, and revenue. Let P be the price of a CD, Q be the quantity sold, and R be the revenue. Then, we have R = P x Q
Step 3: Create a table that shows the relationship between price, quantity sold, and revenue.
Price Quantity Sold Revenue
10 80 800
11 75 825
12 70 840
13 65 845
14 60 840
15 55 825
16 50 800
17 45 785
18 40 720
19 35 665
20 30 600
Step 4: Identify the price that maximizes revenue. From the table we can see that the revenue is maximum at $13 which is 845 and this is the price at which Ryan should sell his CDs to maximize his revenue.
Therefore, Ryan should sell his CDs for $13 to maximize his revenue.
which equation is represented by the table? y=-|x+1|-4 y
An equation is represented by the table is y= -4x+3. Therefore, option B is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
From the given table, we have coordinates (0, 3) and (1, -1)
Here, m=(-1-3)/(1-0)
m=-4
Substitute m=-4 and (x, y)=(0,3) in y=mx+c, we get
3=-4(0)+c
c=3
Substitute m=-4 and c=3 in y=mx+c, we get
y= -4x+3
Therefore, option B is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which equation is represented by the table?
y=-3x+1
y=-4x+3
y=3x-4
y=-2x+1
Using Squeeze/Sandwich Theorem,
Calculate the limit of : lim [(x,y) -> (0,0)] (3 . x^2 . y / (x^2 + y^2))
Answer: We can use the Squeeze theorem to find the limit.
We know that:
x^2 + y^2 >= 0 for all (x, y)
Also,
|3xy| <= 3|x||y| <= 3x^2 + 3y^2
So,
|3xy/(x^2 + y^2)| <= 3(x^2 + y^2)/(x^2 + y^2) = 3
As we approach (x, y) = (0, 0), x^2 + y^2 becomes arbitrarily close to 0, so the right-hand side of the inequality becomes arbitrarily close to 3, and the left-hand side becomes arbitrarily close to 0.
Therefore,
lim[(x,y)->(0,0)] (3xy/(x^2+y^2)) = 0
Hence, by the sandwich theorem, we can say that the limit of the function is 0.
Step-by-step explanation:
Casey deposited $1,850 in a bank account that earned simple interest at an interest rate of 4%. How much interest, in dollars, was earned in 8 years?
Answer:
$1850×4÷100×8=$592 as interest
Multiply both sides: multiply both sides by what?
-10w ( ) = -9 ( )
[tex]-10w=-9[/tex]
Divide both sides by -10(to isolate the variable):
[tex]\dfrac{-10w}{-10} =\dfrac{-9}{-10}[/tex]
[tex]=0.9[/tex]
7. Find the area of the triangle using trigonometry.
The area of the triangle shown is 51.96 unit²
What is an equation?An equation is a expression that shows the relationship between numbers and variables.
The area of a triangle can be found given two adjacent sides and an angle between the two sides. It is given as:
Area = (1/2) * product of adjacent sides * sin(angle)
Hence:
Area of triangle shown = (1/2) * 10 * 12 * sin(60) = 51.96
The area is 51.96
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Interest rate is 9 % and doubling time is 8 years. If you Invest $5,000.00, what will it grow to in 24 years?
Choose the best answer from the options below:
A $40.000.00
B $15,000.00
C $20,000.00
D$30,000.00
After 24 years, the amount will be $40,000
What is annual interest rate?
An annual percentage rate is expressed as an interest rate. It calculates what percentage of the principal you'll pay each year by taking things such as monthly payments into account.
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Formula:
a(t) = p*2^(t/8)
given, t=24 , p =5000
a(24) = 5000*2^(24/8)
a(24) = 5000*2^3
a(24) = 5000*8
a(24) = $40,000
Thus, after 24 years, the amount will be $40,000
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“solve the equation by graphing. check your solution” only 5 and 6 need to be done!! attach picture with graph please xoxoxo i will mark brainliest if done like said please. i need this
Answer: Pictures below show intersection point on the graph.
Step-by-step explanation:
 Using the Distributive Property as a good first step to solving the equation, you could simplify to get which of these choices?
7(5x + 2) = -4(6 - 5x)
0
à
Ib
0
O
0
d
e
35x + 14 = -24 - 20x
35x + 14 = -24 + 20x
5x + 14 = 6 + 20x
35x + 2 = -24 - 5x
35x + 2 = 24 - 20x
(2x^2+5)-(4x-1) why isnt it complete
Answer:
Step-by-step explanation:
Do you mean "isn't complete or not in final form?"
If it does, it is because the equation is not yet simplified. You can still change its structure by distributing the negative sign to the right parenthsis to make it a whole polynomial.
[tex](2x^{2} + 5) - (4x-1)\\2x^{2} + 5 - 4x + 1\\2x^{2} - 4x + 6\\[/tex]or
[tex]2 (x^{2} - 2x + 3)[/tex]
Courtney bought a new electric wok that was originally priced at $38. The department store
advertised a rebate of $5 as well as a discount of 25% off all small appliances. Let r(x) = the price
after the rebate and let p(x) = the price after the discount.
Find r(p(x)) and p(r(x)). Which composition will save her the most money?
Let x = the original price of the electric wok.
r(x) = x - $5 (the price after the rebate)
p(x) = x * (1 - 0.25) (the price after the discount)
Given that x = $38, we can substitute that value in to find the final cost of the wok in each composition:
r(p(x)) = r(p(38)) = r(38 * (1 - 0.25)) = r(28.5) = 28.5 - $5 = $23.50
p(r(x)) = p(r(38)) = p(38 - $5) = p(33) = 33 * (1 - 0.25) = $24.75
So, r(p(x)) = $23.50 and p(r(x)) = $24.75
r(p(x)) will save her the most money.
I will give brainliest, if you get this correct
Answer: Here it is
Step-by-step explanation:
A.
Arithmetic Mean: 30.57
Median: 32
Mode: 41
Range: 41-23 = 18
B.
Upper Quartile: 39
Lower Quartile: 25
D7: 25
P50: 32
C.
Variance: In order to calculate the variance I would need the data set to be presented in a tabular form with the observations as rows and one column for the data.
Coefficient of Variation: Same as above.
D.
Pearson coefficient of skewness: I would need the data set to be presented in a tabular form with the observations as rows and one column for the data.
Kurtosis: Same as above.
11/15 + 2/3 divided by 1 1/2 - 7/30
The evaluation of the given fraction is 1 2/19
Evaluating fractionsFrom the question, we are to evaluate the given fraction
From the given information,
The given fraction is
(11/15 + 2/3) ÷ (1 1/2 - 7/30)
Simplifying
((11 + 10)/15) ÷*(3/2 - 7/30)
(21/15) ÷ ( (45 - 7)/30)
(21/15) ÷ (38/30)
Then,
21/15 × 30/38
(21 × 30) / (15 × 38)
630 / 570
21/19
= 1 2/19
Hence, the evaluation is 1 2/19
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6⁵×6*=6¹ jdkdjdjbddjdbdjbdbsbsksns
Answer:
-4
Step-by-step explanation:
[tex] 6^5 \times 6^n = 6^1 [/tex]
When you multiply powers with the same bases, add the exponents.
[tex] 6^{5 + n} = 6^1 [/tex]
[tex] 5 + n = 1 [/tex]
[tex] n = -4 [/tex]
Answer: -4
The curved surface area of a cylindrical lampshade is 3520cm₂ . if the height is 40cm calculate its radius (Take π = 3.142) PLS HELP
Answer:
Step-by-step explanation:
S= 2πrh
<=> 3520= 2x3.142xrx40
=> r ≈ 14
The radius of the cylindrical lampshade is approximately 13.98 cm.
The formula for the curved surface area of a cylinder is 2πrL, where r is the radius, L is the height and π is pi. Given that the curved surface area of a cylindrical lampshade is 3520 cm² and the height is 40cm.
We know that:
2πrL = 3520cm²
So we can solve for the radius by dividing both sides by 2πL:
r = 3520cm² / (2π * 40cm)
Substituting the value of pi we have
r = 3520cm² / (6.284 * 40cm) = 3520cm² / 251.36cm = 13.98cm
The radius of the cylindrical lampshade is approximately 13.98 cm.
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x+6y=-5
2x+12y=-10
Solve the system using elimination method
Answer:
The system has infinitely many solutions---------------------------------------
Given system:
x + 6y = - 52x + 12y = - 10First simplify the second equation by dividing all terms by 2:
x + 6y = - 5We got the same equation as the first one. It means the two lines overlap, so there are infinitely many solutions.
If we use elimination method, we will subtract the two equations then end up with equation 0 = 0.
Using logarithmic properties, what is the solution to log3(y + 5) + log36 = log366? Show steps. all have log of base 3
log3 (y + 5)+ log3 6 = log3 66
[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_{3}(y+5)+\log_3(6)~~ = ~~\log_3(66) \\\\[-0.35em] ~\dotfill\\\\ \log_3[(y+5)\cdot 6]=\log_3(66)\implies (y+5)6=66 \\\\\\ y+5=\cfrac{66}{6}\implies y+5=11\implies \boxed{y=6}[/tex]
Marc just bought an SUV for 52,000. This is 7,600 less than twice what his wife paid for her car last year. How much did his wife pay (in dollars) for her car
Answer:
Let's call the amount his wife paid for her car "x". We know that:
Marc's car = $52,000
Marc's car = 2x - $7,600
We can substitute the first equation into the second equation
52,000= 2x-7600
52,000+7600=2x
59,600=2x
x=29,800
His wife paid $29,800 for her car.
Answer:
$29,800.00
Step-by-step explanation:
52000 = 2x - 7600 Add 7600 to both sides
52000 + 7600 = 2x
59600 = 2x Divide both sides by 2
29800 = x
Mr.Lee can paint 20 chairs in t hours. He uses 3 liters of paint for every 12 chairs that he painted.
Answer:
Assuming the question is how many l of paint he needs the answer would be 5L
Step-by-step explanation:
1L- 4 chairs
?L- 20 chairs
Therefore 5L- 20 chairs
Identify the coefficient of each term of the polynomial
Answer:
7 and 4/9
Step-by-step explanation:
An observer in a lighthouse 350 feet above sea level observes two ships directly offshore. The angles of depression to the ships are β = 6° and θ = 10.5° (see figure). How far apart are the ships? (Round your answer to one decimal place.) ft
Answer:
28.1 ft
Step-by-step explanation:
d = 350 * ( tan 10.5 - tan 6) = 28.1 ft
A landscaping business is purchasing plants from a nursery to finish a project. It will
cost $14 each to buy each tree and $7 each to buy each bush. The landscaper wishes to
keep the spending to no more than $870. Let t be the number of trees and b be the
number of bushes.
Select the inequality that describes the situation.
14t7b870
14t+7b2870
14t+7b < 870
O14t+7b870
Answer: 818quuquqiqi$
Step-by-step explanation: because i dont wnna waycj brainly ads haha ok so you see this is shbwbwbwhjwwkkw because hwuqopqpoqiwnndncixo9nbccssioakaka.
3. Calculate the amount at the end of one year in each case. Which one is the best option?
a. Principal = $1,000. The rate of interest per annum is 9% and the interest is calculated
semi-annually. (Note: annum is another word to say year)
b. Principal = $1,000. The rate of interest per annum is 9% and the interest is
calculated quarterly.
Answers:
(a) $1092.03
(b) $1093.08
===========================================
Work shown for part (a)
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.09/2)^(2*1)
A = 1000*(1+0.045)^(2)
A = 1000*(1.045)^(2)
A = 1000*1.092025
A = 1092.025
A = 1092.03
Don't forget to round to the nearest penny, aka nearest hundredth.
-----------------------------------
Work shown for part (b)
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.09/4)^(4*1)
A = 1000*(1+0.0225)^(4)
A = 1000*(1.0225)^(4)
A = 1000*1.09308331878906
A = 1093.08331878906
A = 1093.08
