Answer:
9,000+800+50+5
Step-by-step explanation:
Step-by-step explanation:
nine thousand eight hundred fifty five
t
A summer camp has 32 campers. A total of 22 of them
swim, 20 play softball, and 5 do not swim or play
softball. Which values complete the table?
O
a= 15, b = 10, c=7, d=5, e = 12
a = 15, b = 7, c=5, d = 10, e = 12
a=14, b = 7, c=5, d = 12, e = 10
a=14, b = 12,c=7, d =5, e = 10
Answer:
B. a = 15, b = 7, c = 5, d = 10, e = 12
Step-by-step explanation:
The values that complete the table are a = 15, b = 7, c = 5, d = 10, and e = 12. Therefore, option B is correct.
What the solution of the given question?Given that there are 32 campers in total, and 22 of them can swim, and 20 of them play softball. We also know that 5 campers do not play softball or swim.
We are asked to complete the table, which consists of rows and columns, with the third row and third column showing the totals.
Let's start with the third row. According to the table, the total number of campers who can swim and play softball is a + b. And since we know that 20 campers play softball, we can write:
a + b = 20
Moving on to the third column, the total number of campers who can swim is a + c. We also know that 22 campers can swim, so we can write:
a + c = 22
Now we have two equations and two unknowns, namely a and c. We can solve for a by subtracting the second equation from the first equation:
(a + b) - (a + c) = 20 - 22
Simplifying this expression, we get:
b - c = -2
We also know that 5 campers do not play softball or swim. So the total number of campers who do not play softball is:
32 - 20 = 12
And since 5 campers do not play softball or swim, the remaining 7 campers do not play softball but can swim. Therefore, we can write:
c + d = 7
Substituting the value of d from equation (1), we get:
c + 10 = 7
Solving for c, we get:
c = 5
Now that we know the value of c, we can solve for a using equation (2):
a + c = 22
Substituting the value of c, we get:
a + 5 = 22
Solving for a, we get:
a = 15
Using the value of a, we can solve for b using equation (3):
a + b = 20
Substituting the value of a, we get:
15 + b = 20
Solving for b, we get:
b = 5
Finally, we can solve for e using equation (4):
20 + e = 32
Solving for e, we get:
e = 12
Therefore, the values that complete the table are a = 15, b = 7, c = 5, d = 10, and e = 12.
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idk what to do i need help asap please & thank you
Answer:
[tex]170(1.3)^{t}[/tex]
Step-by-step explanation:
For this formula it would be exponential growth. The formula for exponential growth is: [tex]y = a(1+r)^{t}[/tex]
a is the initial value
r is the growth rate
t is the number of time intervals that have passed in the given situation
In this problem, you would substitute the r for the given percent (0.3) and substitute the a for 170 as the initial value. The equation would then be:
[tex]170(1.3)^{t}[/tex]
i hope this explanation is helpful
Find the missing dimension of the solid. Round your answer to the nearest 10th
Answer:
the answer is 9.9997 ft
Step-by-step explanation:
the equation to find the radius is
r = √(3v / πh)
7. Bryan and Daniel ordered a pizza. There were 24 slices. Daniel ate seven times as many slices as Bryan. How many
slices did each one eat?
steps ?
Answer:
Bryan pizza slices: x
Daniel pizza slices: y
Total slices: 24
[tex]y=7x\\y+x=24\\\\7x+x=24\\8x=24\\x=3[/tex]
Daniel ate 21 slices of pizza.
Bryan ate 3 slices of pizza.
tp he Pew Research Center and Smithsonian magazine recently quizzed a random sample of 1006 U.S. adults on their knowledge of science. One of the questions asked, "Which gas makes up most of the Earth's atmosphere: hydrogen, nitrogen, carbon dioxide, or oxygen?" A 95% confidence interval for the proportion who would correctly answer nitrogen 0.175 to 0.225. Interpret this confidence interval.
Answer:
This interval (0.175, 0.225) represents the range of values that the true proportion of U.S. adults that can answer the question of 'which gas makes up the most of the atmosphere?' correctly, can take on, with a confidence level of 95%.
Step-by-step explanation:
Confidence Interval is an interval obtaimed from sample data, for the population proportion. It is an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Margin of Error is the width of the confidence interval about the mean (sample proportion).
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the sample proportion)
Critical value is obtained from the z-tables or the t-tables depending on which information is available. For distributions where information on the population standard deviation is known or it isn't know but the sample size is large enough for the sample standard deviation can approximate the population standard deviation, the z-tables is used and for those distributions whose population standard deviation information is not known, and sample size isn't large enough, the critical value is read off the t-tables.
The critical value depends on the confidence level for both the z-tables and the t-tables critical value.
The interval obtained now represents the region of values where the true population proportion can exist within, at a certain level.of confidence.
Hope this Helps!!!
The first three terms of an arithmetic sequence are as follows.
39, 32, 25
Find the next two terms of this sequence.
Answer:
18,11
Step-by-step explanation:
seven is reduce in all terms
Answer:
18, 11
Step-by-step explanation:
just took a test
The value of a computer is decreasing at a rate that is proportional at any time to the value of the computer
at that time.
The computer is worth $850 initially, and it is worth $306 after 2 years.
How much will the computer be worth after 5 years?
A. $0
B. $66
C. $79
Step-by-step explanation:
The price of computer = 850
The price of computer after 2 years = 306
By compound depreciation,
[tex]Pn = P (1 - \frac{R}{100} ) ^ T[/tex] ... (i)
where Pn = 306
P = 850
R = rate of interest to be calculated
T = 2( number of years)
substituting the values in equation (1), we get
[tex]306 = 850 (1 - \frac{R}{100} ) ^ 2[/tex]
0.6 = 1 - [tex]\frac{R}{100}[/tex]
R = 40%
The worth after 5 years =
[tex]Pn = 850 (1 - \frac{40}{100} ) ^ 5[/tex]
Pn = 850 (0.077)
= $66.096 = $ 66
The computer be worth after 5 years = $ 66 (option B)
After 5 years, the computer will be worth is $66 (B).
To solve this problem, we'll use the formula for exponential decay, where the rate of decrease is proportional to the value of the computer at that time.
Step 1 :The formula for exponential decay is:
[tex]\[ V(t) = V_0 \times e^{-kt} \][/tex]
Where:
- [tex]\( V(t) \)[/tex] is the value of the computer at time [tex]\( t \)[/tex],
- [tex]\( V_0 \)[/tex] is the initial value of the computer,
- [tex]\( k \)[/tex] is the decay constant, and
- [tex]\( t \)[/tex] is the time in years.
Given:
- [tex]\( V_0 = $850 \)[/tex]
- [tex]\( V(2) = $306 \)[/tex]
We need to find the value of [tex]\( k \)[/tex] using the given information.
[tex]\[ 306 = 850 \times e^{-2k} \][/tex]
Divide both sides by 850:
[tex]\[ \frac{306}{850} = e^{-2k} \][/tex]
Taking the natural logarithm of both sides:
[tex]\[ \ln\left(\frac{306}{850}\right) = -2k \][/tex]
Solve for [tex]\( k \)[/tex]:
[tex]\[ k = -\frac{\ln\left(\frac{306}{850}\right)}{2} \][/tex]
Step 2 :Now that we have [tex]\( k \)[/tex], we can find [tex]\( V(5) \)[/tex]:
[tex]\[ V(5) = 850 \times e^{-5k} \][/tex]
Substitute the value of [tex]\( k \)[/tex] and compute:
[tex]\[ V(5) = 850 \times e^{-5 \times \left(-\frac{\ln\left(\frac{306}{850}\right)}{2}\right)} \][/tex]
[tex]\[ V(5) = 850 \times e^{\frac{5\ln\left(\frac{306}{850}\right)}{2}} \][/tex]
[tex]\[ V(5) = 850 \times \left(\frac{306}{850}\right)^{\frac{5}{2}} \][/tex]
V(5) = 66.61
Therefore, after 5 years, the computer will be worth is $66.
Hi! Can someone help me with this?
Answer:
The answer is 4.3
1.8 + 2.5 = 4.3
Hope it helped :)
Step-by-step explanation:
Please mark brainliest :)
There are 800 bags of beans. Each bag contains 20,000 beans. How many beans are there in all?
Answer: 16,000,000
Step-by-step explanation:
Answer:
16,000,000 beans total.
Step-by-step explanation:
Start with what you're given. Each bag has 20,000 beans, right?
There are, for some unknown, ungodly reason, 800 bags. Okay, great. It's a lot of bags of beans and I don't understand why there needs to be so much, but this is math. Most "related to real-world" problems in math don't make logical sense.
So we've established how many bags there are, and how many beans each bag has. You'll need to multiply those two together to get how many beans there are total. However, 20,000 times 800 is a very ridiculously large number and takes a lot of time. So, how do we make it easier to understand?
We focus on the most important parts.
800 and 20,000 are large numbers, but simple as well. The only digits are 8 and 2, followed by zeroes. Just multiply 8 times 2, and you get 16. Now add the number of zeroes from 800, and the number of zeroes from 20,000, and you'll end up with 6 zeroes.
So your answer should be 16 followed by 6 zeroes, or 16,000,000.
That's a lot of beans.
Juanita is shopping for a new shirt, and she has narrowed her decision down to two. Both shirts are $35, and both are on sale. Shirt A is 25% off. Shirt B is $10 off. Which shirt is the better deal?
I'm pretty sure the better deal would be shirt a
if I'm wrong don't get mad
On a coordinate plane, which BEST describes where the point (0, 11) lies?
A) in Quadrant I
B) on the x-axis
C) on the y-axis
D) in Quadrant II
Answer:
The y- axis
Step-by-step explanation:
If it was (0,0) then the x and y would not matter but in this cause the answer is the y axis because it has a point to it but not the x. It is not Quadrant 2 or 1 because it does not matter what box it is in all that matters is where the points are located
oops I mest upStep-by-step explanation:
A restaurant chain wanted to
find out how the food was in
their store. Identify which
choice best represents a
sample.
A. 100 customers who spent over $50
B. All of the people who ate at the
restaurant on Friday
C. 1 out of every 50 customers.
7.SP.1
Answer:
C
Step-by-step explanation:
a. 7/25
b. 7/24
c. 24/25
d. 24/7
c. 24/25
Step-by-step explanation:
[tex] \bigg(\frac{7}{25}, \: \frac{24}{25}\bigg) =\bigg(x, \: y\bigg) \\
\therefore x = \frac{7}{25}, \:\: y= \frac{24}{25}, \: r = 1\\
\because \sin \theta = \frac{y}{r}\\
\therefore \sin \theta = \frac{ \frac{24}{25}}{1}\\
\huge \purple {\boxed {\therefore \sin \theta =\frac{24}{25}}} [/tex]
evaluate 5log5 63. A. 58 B. 315 C. log5 63 D. 63
To evaluate 5log5 63, use the property of logarithms that states loga b = logc b / logc a. Using a calculator, we find that 5log5 63 ≈ 2.57.
Explanation:To evaluate 5log5 63, we use the property of logarithms which states that loga b = logc b / logc a. In this case, a = 5 and b = 63. So, 5log5 63 = log10 63 / log10 5. Using a calculator, we find that log10 63 ≈ 1.798 and log10 5 ≈ 0.699. Therefore, 5log5 63 ≈ 1.798 / 0.699 ≈ 2.57. So the correct answer is not listed among the options provided.
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The city plan includes parks reopening with probability = 1/2, diners with 20% chance, and dental offices with probability = 0.3. According to the plan, in what order will these three areas reopen?
Answer:
Parks, then dental offices, and finally diners
Step-by-step explanation:
Parks = 50%
Diners = 20%
Dental offices = 30%
Order the place in order of decreasing probability.
If this answer is correct, please make me Brainliest!
Answer:
1) Parks,
2) Dental offices,
3) Diners
Step-by-step explanation:
½ = 0.5
20% = 0.2
0.5 > 0.3 > 0.2
Parks, Dental offices, Diners
Which function is equivalent to g(x) = x2 + 15x -54?
Answer: (x+18)(x-3)
Step-by-step explanation:
It matched (sorry for no explanation)
The equivalent form of the given expression of the function is [tex]g(x)=(x+18)(x-3)[/tex].
Given information:
The given expression of the function is [tex]g(x) = x^2 + 15x -54[/tex].
We have solve the expression of function to get a relevant expression.
The function is a quadratic polynomial function. So, here we can factorize it as,
[tex]g(x) = x^2 + 15x -54\\g(x)=x^2+18x-3x-54\\g(x)=x(x+18)-3(x+18)\\g(x)=(x+18)(x-3)[/tex]
Therefore, the equivalent form of the given expression of the function is [tex]g(x)=(x+18)(x-3)[/tex].
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Simply 3/4 - (6 - 3/4s)
Answer:
-21/4 + 3s/4
Step-by-step explanation:
Answer:
− 21/ 4 + 3 s/ 4
Step-by-step explanation:
A circle has a circumference of 5. An arc in the circle has a central angle of 162°. What is the length of the arc?
Answer:
The length of the arc is 2.25 units.
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex], where r is radius of the circle.
Total angle of a circle in degree is 360°.
Length of central angle formula
[tex]\textrm{Arc length}=\frac{2\pi r}{360^\circ}\times \textrm{central angle degree}[/tex]
[tex]\Rightarrow \textrm{Arc length}=\frac{\textrm{circumference}}{360^\circ}\times \textrm{central angle degree}[/tex]
Given that,
A circle has a circumference of 5 units.An arc in the circle has a central angle of 162°.
Then,
[tex]\textrm{Arc length}=\frac{\textrm{circumference}}{360^\circ}\times \textrm{central angle degree}[/tex]
[tex]\textrm{Arc length}=\frac{5}{360^\circ}\times162^\circ[/tex]
[tex]=\frac{810}{360}[/tex]
[tex]=\frac{9}{4}[/tex]
=2.25 units.
The length of the arc is 2.25 units.
Answer:
14.14 units
Step-by-step explanation:
Klan Academy - i checked and it was correct.
A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.
Which expression represents the volume, in cubic units, of the composite figure?
Pi(52)(13) – One-third pi (52)(12)
Pi(52)(13) – One-third pi (52)(25)
Pi(52)(13) + One-third pi (52)(12)
Pi(52)(13) + One-third pi (52)(25)
Answer:
C
Step-by-step explanation:
[tex]\pi (5^{2})(13)+\frac{1}{3} \pi (5^{2})(12)[/tex]
The expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).
What is the volume of the composite figure?The volume of the composite figure is the sum of the volume of the cone and the volume of the cylinder.
A cone is stacked on top of a cylinder.
They both share a circular base.
The total height of the composite figure is 25.
The height of the cylinder is 13 and the radius is 5.
The expression represents the volume, in cubic units, of the composite figure;
The volume of a cylinder = πr²h
π = 22/7
r = radius = 5
h = height = 13
The volume of a cylinder = π(5²)(13)
The volume of a cone = 1/3(πr²h)
π = 22/7
r = radius
h = height = 25 - 13 = 12
The volume of a cone = (1/3)(π(5²)(12)
The expression represents the volume, in cubic units, of the composite figure is;
= Pi(5^2)(13) + One-third pi (5^2)(12).
Hence, the expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).
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Draw a model and write an equation to represent “ 4 times as many as 3 is 12. “ Explain your work
Answer:
4x+3=12
Step-by-step explanation:
A circle has a circumference of 11,304 units.
What is the diameter of the circle?
Answer:
3,600 units
Step-by-step explanation:
divide 11,304 by 3.14 and you get,
3,600.
(basically reversed way of trying to find the circumference)
Answer:
d=3600
Step-by-step explanation:
C=πd
11,304=3.14d
divide:11,304÷3.14=3600
C=11,304=3.14*3600
in a class of 32 students
the mean height of the 14 boys is 1.56 m
the mean height of the 32 students is 1.515 m
work out the mean height of the girls
Answer:
14(1.56) + 18h = 32(1.515)
21.84 + 18h = 48.48
18h = 26.64
h = 1.48 meters
The mean height of the girls in the class is 1.48 meters.
Explanation:To calculate the mean height of the girls in the class, we will use the information provided about the mean heights of the boys and the entire class. Since we know the mean height of the 14 boys is 1.56 meters, we can find the total height of all boys by multiplying 1.56 by 14, which equals 21.84 meters. For the entire class of 32 students, the mean height is 1.515 meters. Multiplying 1.515 by 32 gives us the total height for the entire class, which is 48.48 meters. To find the total height of the girls, we subtract the total height of the boys from the total height of the class: 48.48 meters - 21.84 meters = 26.64 meters. Since there are 32 students in total and 14 boys, there must be 18 girls. To find the mean height of the girls, divide the total height of the girls by the number of girls: 26.64 meters / 18 girls = 1.48 meters.
simplify a⁵ × (a³)²
Answer:
[tex]a^{11}[/tex]
Step-by-step explanation:
In solving for a⁵ × (a³)², we need to follow the rules of PEMDAS
Therefore, your equation would look like this:
a⁵ × (a³)² = a⁵ × [tex]a^{6\\[/tex]
When two variables are the same, we add their exponents when multiplying and we would subtract them if we divided.
With that information, your final answer would be
[tex]a^{11}[/tex] as 5+6 = 11
Hope this Helps!
In mathematics, the expression a⁵ × (a³)² simplifies to a¹¹ by following rules of exponents. Simplify within parentheses first to get a⁶, then combine to get a¹¹.
Explanation:The term a⁵ × (a³)² represents the product of a number 'a' raised to the power of 5 and 'a' raised to the power of 3, squared. To simplify an expression like this, use the rule of exponents that states: aⁿ * aᵐ = aⁿ+ᵐ and for (a^n)^m, this equates as a^(n*m).
Start by simplifying the exponent in the parentheses first: (a³)² = a^(3*2) = a⁶. Then you're left with a⁵ × a⁶. Using the rules of exponents again, you add the powers together: a^(5+6) which simplifies to a¹¹.
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Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours ten boys watched television over the same period of time.
Television Viewing Hours for a One-Week Period
Sorry im asking a lot i forgot to study! Which statement correctly compares the measures of center in the two sets of data?
Both the mean and median are greater for Plot A than for Plot B.
Both the mean and median are greater for Plot B than for Plot A.
Plot A has a greater median than Plot B, but Plot B has a greater mean.
Plot B has a greater median than Plot A, but Plot A has a greater mean.
Answer:
Both the mean and median are greater for Plot A than for Plot B.
Step-by-step explanation:
Plot A data set is : 4,4,5,5,6,6,7,7,10
mean(Plot A) = 5.7
median(Plot A) = 5.5
Plot B data set is : 4,4,5,5,5,6,6,6,7
mean(Plot B) = 5.1
median(Plot B) = 5
Both the mean and median are greater for plot A than for plot B.
Answer:
A. Both the mean and median are greater for Plot A than for Plot B.
Correct statement, question and plots:
Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours ten boys watched television over the same period of time.
Television Viewing Hours for a One-Week Period
Which statement correctly compares the measures of center in the two sets of data?
A. Both the mean and median are greater for Plot A than for Plot B.
B. Both the mean and median are greater for Plot B than for Plot A.
C. Plot A has a greater median than Plot B, but Plot B has a greater mean.
D. Plot B has a greater median than Plot A, but Plot A has a greater mean.
Plots are available below
Source:
Previous question that can be found at brainly
Step-by-step explanation:
As we can see, the number of hours in plot A goes from 3 to 10 with a gap in 8 and 9, while in plot B, goes from 3 to 7, with no gaps.
Let's calculate the mean and media for both plots:
Plot A:
Mean = (3 + 2 * 4 + 2 * 5 + 2 * 6 + 2 * 7 + 10)/10
Mean = 57/10 = 5.7
Median = 5 + 6/2 = 11/2 = 5.5
Plot B:
Mean = (3 + 2 * 4 + 3 * 5 + 3 * 6 + 7)/10
Mean = 51/10 = 5.1
Median = 5 + 5/2 = 10/2 = 5
Mean comparison: 5.7 > 5.1
Median comparison: 5.5 > 5
In consequence, the correct answer is A. Both the mean and median are greater for Plot A than for Plot B.
What is the median of this set of data?
1, 2, 5, 6, 9
A. 1
B. 5
C. 8
D. 9
Answer:
the answer would be B because median is the middle. think of it like the middle of the highway where it has the small trees, thats called the median. therefore 5 is the number in the middle of the number sequence
Answer:
B
Step-by-step explanation:
WILL GIVE BRAINLYEST TO FIRST NEED ASAP
The box plot shows the number of years during which 16 schools have participated in a marching band competition:
At least how many schools have participated for 3 to 7 years? (4 points)
Group of answer choices
3 schools
5 schools
7 schools
8 schools
Answer:
122
Step-by-step explanation:
hope thats itbecause i just times 16x7 \_(^-^)_/
Answer:
8 schools
Step-by-step explanation:
read
Complex Numbers in Polar Form Connexus
1. C
z = 6sqrt2 ( cos 3pi/4 + isin 3pi/4)
2. B
z = 6sqrt3 cis 11pi/6
3. D
z = -sqrt3 + 1
Simplify: -4 1/5- (-13 1/10)
Answer:
.
Step-by-step explanation:
Guilherme observed the number of minutes his dormmates spent on social media sites while they were at the library. He reported his data in the following table.
Dormmate Number of minutes on social media
Vera 13
Timothy 0
Manueala 14
Khaled 36
Yash 18
Fernanda 12
Find the mean number of minutes on social media.
The mean number of minutes his dormmates spent on social media is: 15.5 minutes.
What is the Mean of a Data?Mean of a data set is the average of the data values in that data set.
Given the data, 13, 0, 14, 36, 18, 12
Mean number of minutes = (13 + 0 + 14 + 36 + 18 + 12)/6
Mean number of minutes = 93/6
Mean number of minutes = 15.5
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A car is purchased for $23,500. After each year, the resale value decreases by 25%. What will the resale value be after 3 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$5,875
Step-by-step explanation:
Answer:
After 3 years it will be $9,400
Step-by-step explanation:
First multiply 23,500 by .20 and get 4700. Now multiply by 3 which is 3 years and it equals 14,100. Now subtract from 23,500-14,100 and get 9,400.