Answer:
Step-by-step explanation:
22 - to find the volume for an object with a constant cross sectional area you just have to multiply the height by the cross sectional area so
36m x 4m
= 144m2
23- πr² = 56.52
r² = 18
r = 4.2m
24 - πx6²x3 = 339 cm2
Two friends, Jack and Carly, make bracelets to sell for a fundraiser. Each bracelet costs $5
$
5
, and the friends make $480
$
480
in total after all bracelets are sold.
If Jack makes x
x
bracelets, and Carly makes 40%
40
%
more bracelets than Jack, which two statements are true?
Responses
Jack makes exactly 40
40
bracelets, and Carly makes exactly 56
56
bracelets.
Jack makes exactly 40 bracelets, and Carly makes exactly 56 bracelets.
Jack makes exactly 56
56
bracelets, and Carly makes exactly 90
90
bracelets.
Jack makes exactly 56 bracelets, and Carly makes exactly 90 bracelets.
The equation 5(0.4x+x)=480
5
(
0.4
x
+
x
)
=
480
can be used to find how many bracelets Jack makes.
The equation 5 ( 0.4 x + x ) = 480 can be used to find how many bracelets Jack makes.
The equation 5(x+40)=480
5
(
x
+
40
)
=
480
can be used to find how many bracelets Jack makes.
The equation 5 ( x + 40 ) = 480 can be used to find how many bracelets Jack makes.
The equation 5(1.4x+x)=480
5
(
1.4
x
+
x
)
=
480
can be used to find how many bracelets Jack makes.
Answer: The two middle ones I think. This is hard to read sorry.
What additional information is obtained by measuring two individuals on an ordinal scale compared to a nominal scale
The direction of the difference between the 2 measurements.
What is nominal and ordinal scale with example?Examples of data for a nominal scale include a person's gender, ethnicity, and hair color. On the other hand, an ordinal scale requires putting data in a certain order, or in relation to one another and "ranking" each parameter (variable).What is the difference nominal and ordinal?Ordinal data has a preset or natural order, whereas nominal data is categorized without a natural order or rank. A number that can be measured, however, will always be present in numerical or quantitative data.What is an example of a ordinal scale?First place would go to a student with a score of 99 out of 100; third place would go to a student with a score of 92 out of 100; and so on.Learn more about ordinal scale and nominal scale here:
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5% of 59 is what number?
Answer:
2.95
Step-by-step explanation:
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
2.95
5 x 59
-----------
100
= 2.95
Find the missing values to complete the ratio table below.
A) 15 and 35
B) 10 and 45
C) 20 and 40
D) 10 and 40
in a city with 30000 people, each person has a 0.00020 probability of committing a crime each hour. what is the probability that there are exactly 3 crimes during the next hour? (state your answer in decimal terms precise to three decimal places.)
8.92% probability that there are exactly 3 crimes during the next hour
The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:
P( X = x ) = [ e⁻ᵃ × aˣ ] / x!
Where a is the mean in the given time interval,
x is the number of successes, and the Euler number e = 2.71828.
In a city with 30000 people, each person has a 0.00020 probability of committing a crime each hour.
So,
a = 30000 × 0.00020
a = 6
The probability that there are exactly 3 crimes during the next hour will be:
P( X = x ) = [ e⁻ᵃ × aˣ ] / x!
P(X = 3) = [ e⁻⁶ × 6³ ] / 3!
P( X = 3 ) = [ (2.71828)⁻⁶ × 6³ ] / 3!
P( X = 3 ) = [ 0.00247876218 × 216 ] / 3!
P ( X = 3 ) = 0.53541263103 / 6
P ( X = 3 ) = 0.0892354385
8.92% probability that there are exactly 3 crimes during the next hour.
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help find the missing value in the solution to the equation
Answer:
C). y = 8
Step-by-step explanation:
Find the volume of radius 7 cm in diameter of 12 cm in 3.14
The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.
To find the volume of a sphere with a radius of 7 cm, we can use the formula:
V = (4/3) * π * r^3
where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.
The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:
V = (4/3) * π * (6 cm)^3
V = (4/3) * 3.14 * (6 cm)^3
V = (4/3) * 3.14 * 216 cm^3
V = 904.32 cm^3
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The statement say a contractor contracted to supply water to three Altein ring road has decided to investigate the financial impact that the monthly installments, salaries and the price of fuel had to his business per month. The contractor will use one of his water tankers to conduct an investigation. The contractor was supplying water to the Altien village 5 km ring road construction site where the road had to be paved using the paving bricks. The paving of the road has started in January 2022 and ran for 10 months.
Questions
1.1 write down the loan term of the truck in years
1.2 determine the monthly repayments that were made towards the water tanker including the insurance cover amount
1.3 the contractor had already made half of the monthly installments towards the truck in June 2022. Determine the total amount of money that was owed to the finance excluding the insurance in June 2022
1.4 give an explanation on the significance of including an insurance cover when a contractor purchases the water tanker
Therefore , the solution of the given problem of unitary method comes out to be in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.
What is an unitary method?The task can be completed by multiplying the data gathered using this type of nanosection along with two variable individuals who utilized the unilateral strategy. In essence, this signifies that perhaps the designated entity is defined or the colour of both mass production is skipped whenever a wanted item occurs. For forty pens, a variable charge of Inr ($1.01) could have been required.
Here,
1.1. The statement omits details about the truck's loan term. Therefore, without more details, we are unable to respond to this query.
1.2. Assume that the truck's loan period is n years and that the contractor borrowed P dollars at an annual interest rate of r to buy the water tanker.
M is calculated as (r * P * (1 + r)n) / ((1 + r)n - 1)
5 years + 60 months Equals n
r = 5% / 12 = 0.004166667 (weekly interest rate) (monthly interest rate)
P = $100,000
=> M = (0.004166667 * $100,000 * (1 + 0.004166667)^60) / ((1 + 0.004166667)^60 - 1)
≈> $1,870.24
As a result, the total monthly payments made for the water tanker, including the insurance protection, came to about $1,870.24.
1.3
(Total Amount Borrowed - Amount Paid) / 2
=> ($100,000 - $1,870.24 * 6) / 2 = $47,259.52 is the sum that is owed.
Therefore, in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.
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use finite differences or ratios to determine which parent function would best model the given data set.
To determine which parent function would best model a given data set using finite differences or ratios, we need to analyze the pattern in the data points.
First, let's understand what finite differences and ratios are. Finite differences involve subtracting consecutive terms in the data set to find the differences between them. Ratios, on the other hand, involve dividing consecutive terms in the data set to find the ratio between them.
To use finite differences, calculate the differences between each pair of consecutive terms in the data set. If the differences are constant, it suggests a linear relationship, which can be modeled using the parent function y = mx + b (where m is the slope and b is the y-intercept). If the differences are the same for the first few terms and then change, it may indicate a quadratic relationship (y = ax^2 + bx + c).
To use ratios, calculate the ratios between each pair of consecutive terms in the data set. If the ratios are constant, it suggests an exponential relationship, which can be modeled using the parent function y = ab^x (where a is the initial value and b is the growth factor). If the ratios are the same for the first few terms and then change, it may indicate a logarithmic relationship (y = a + b log(x)).
Let's consider an example. Suppose we have the following data set: (1, 2), (2, 4), (3, 8), (4, 16).
Using finite differences, we calculate the differences: 2 - 1 = 1, 4 - 2 = 2, 8 - 4 = 4. Since the differences are not constant, a linear relationship can be ruled out. However, the second finite difference is constant (2), indicating a quadratic relationship.
Using ratios, we calculate the ratios: 4/2 = 2, 8/4 = 2, 16/8 = 2. The ratios are constant, indicating an exponential relationship.
Based on this analysis, we can conclude that the given data set is best modeled by an exponential parent function.
In summary, to determine which parent function best models a given data set using finite differences or ratios, we analyze the pattern of the differences or ratios. If they are constant, it suggests a linear or exponential relationship, respectively. If they are not constant, it may indicate a quadratic or logarithmic relationship, respectively.
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If p is the smallest of four consecutive even integers, what is their sum interms of P?
plz be fast
I need full step by step the explanation
The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)
Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.
p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.
Therefore, the 4 consecutive even integers is represented as follows;
p, p + 2, p + 4, p + 6
So the sum is equal to:
sum = p + p + 2 + p + 4 + p + 6
sum = 4p + 12
sum = 4(p + 3)
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YR 8 MATHS PLS HELP!!!!!!
Answer:
6.54
Step-by-step explanation:
you have to add up all of the numbers then divide by how many numbers there are to get the mean
Answer:
6.54
Step-by-step explanation:
Add up all thee numbers:
11+11+5+6+6+11+04+8+2+5+7+9=85
Divide by how many numbers there are:
85/13=6.538
6.54
How do you graph Y >- 2x 4?
The graph of Y > -2x + 4 can be drawn by plotting points on a coordinate plane and connecting them with a dashed line. The dashed line should be above the line Y=-2x+4.
A sample graph is shown below:
[Graph of Y > -2x + 4]
(0,4), (1,1), (2,-2), (3,-5), (4,-8)
To graph Y > -2x + 4, you need to plot points on a coordinate plane. Start by finding the intersection point of the line Y=-2x+4 and the x-axis, which will be (0,4). From there, you can calculate the coordinates of the other points by substituting x values into the equation and solving for y. For example, when x=1, y=-2x+4=-2+4=2, so the point (1,2) would be plotted. Then, plot the other points (2,-2), (3,-5), and (4,-8). Finally, connect the points with a dashed line to represent Y > -2x+4.
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The sixth-grade classes at West Road Elementary
School were asked to vote on the location of their
class trip. The results are shown in the table
below.
Boys
Girls
Playland Splashdown Fun Central
38
53
39
46
25
37
Determine, to the nearest percent, the percentage
of girls who voted for Splashdown.
Answer: 34%
Step-by-step explanation:
Let us assume that the table shown looks like the one I put together below. If your table does not look like this table, please note that this answer may be incorrect and comment what about the table is different.
To find the percentage of the girls who voted for Splashdown, we will divide the numbers of girls who voted for Splashdown by the total number of girls, and multiply it by 100. Then, we will round to the nearest percent as asked.
\(\displaystyle \frac{46}{53+46+37} *100=\frac{46}{136} *100= 0.338235 * 100 = 33.8235 \approx 34\%\)
Solve each quadratic equation by completing the square.
6x2 – 28x = - 16
Answer:
There is no real solutionStep-by-step explanation:
\(6x^2-28x = - 16\\\\6x^2-28x + 16=0\\\\3x^2-7x+8=0\\\\9x^2-21x+24=0\\\\(3x)^2-2\cdot3x\cdot\frac72+(\frac72)^2-(\frac72)^2+24=0\\\\(3x-\frac72)^2-\frac{49}4+24=0\\\\(3x-\frac72)^2-12\frac{1}4+24=0\\\\(3x-\frac72)^2+12\frac{3}4=0\\\\(3x-\frac72)^2=-12\frac{3}4\)
find the interest earned on a savings account by depositing $9800 for 15 months at 5% simple interest
Answer:
To find the interest earned on a savings account by depositing $9800 for 15 months at 5% simple interest, we can use the formula:
Interest = (Principal x Rate x Time) / 100
Where:
Principal = $9800
Rate = 5%
Time = 15 months
First, we need to convert the time from months to years by dividing 15 by 12:
Time = 15/12 = 1.25 years
Now, we can substitute the values into the formula:
Interest = (9800 x 5 x 1.25) / 100
Interest = $612.50
Therefore, the interest earned on the savings account is $612.50.
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There are 10 players on the swim team. How many ways can the coach select 3 people to swim in the relay?
A. 1,080
B. 960
C. 720
D. 120
Answer:
C. 720
Step-by-step explanation:
10 - 3 is 8 so you multiply all the numbers from 10 through 8
10 * 9 * 8 = 720
That is the answer. Hope it helped!
Answer:
C: 720
Step-by-step explanation:
i got 100% on the quiz
diseases tend to spread according to the exponential growth model. in the early days of aids, the growth factor (i.e. common ratio; growth multiplier) was around 1.9. in 1983, about 1700 people in the u.s. died of aids. if the trend had continued unchecked, how many people would have died from aids in 2005?
The number of people died from aids in U.S. in 2005 are 2,30,68,96,671
Given, diseases tend to spread according to the exponential growth model.
In the early days of aids, the growth factor (i.e. common ratio; growth multiplier) was around 1.9.
In 1983, about 1700 people in the U.S. died of aids.
we have to find the number of people died from aids in 2005.
Let the exponential function, be
P(x) = AB^x
where, A is the initial population of people died of aids in U.S.
B is the growth factor of aids in U.S.
as, B = 1.9
In 1983, x = 0
P(0) = AB^0
1700 = A
Now, P(x) = 1700(1.9)^x
and the number of years from 1983 to 2005 are, 22 years
The number of people died from aids in 2005 be,
P(22) = 1700(1.9)^22
P(22) = 2,30,68,96,671
So, 2,30,68,96,671 people died from aids in 2005.
Hence, 2,30,68,96,671 people died from aids in 2005.
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Simplify 3^8 divided 3^2
A. 3^10
B. 3^6
C. 3^4
D. 3^-6
Answer:
B is correct. To divide powers with like bases, subtract the exponents, and keep the same base.
Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.
Answer:
d. All of the above are true
Step-by-step explanation:
All of the following statements,
a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.
b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.
C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.
are true
2. Sam wants to meet his friend Beth at a restaurant before they
go to the theater. The restaurant is 9 km south of the theater.
Plot and label a point representing the restaurant. What are
the coordinates of the point?
A researcher is responding to a news article saying that the article suffered from sampling bias. the article in question was about finding out what the voters in tucson thought about a recent bond initiative for a renovation project in downtown area. the news outlet stated they surveyed workers in the downtown area of tucson. what does the researcher mean that it "suffered from sampling bias"?
Please Help Quickly Hurry ASAP This is Geometry
Question 1
A rectangle has a perimeter of 45 ft. The length and width are scaled by a factor of 1.5.
What is the perimeter of the resulting rectangle?
_____ ft
Question 2
What is the area of this figure?
______ units²
The perimeter of the resulting rectangle is 67.5 ft
What is the perimeter of the resulting rectangle?Given that
Perimeter = 45 ft
Scale factor = 1.5
So, we have
Resulting perimeter = 45 * 1.5
Evaluate
Resulting perimeter = 67.5
What is the area of this figure?The area is the sum of the individual areas
The figure can be divided into two trapezoids
Using the above and the area formulas as a guide, we have the following:
Area = 1/2 * (3 + 5) * 2 + 1/2 * (3 + 7) * 4
Evaluate
Area = 28
Hence, the area is 28 sq units
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GRADES On her first four quizzes, Rachael has earned scores of 21, 24, 23, and 17 points. What score must Rachael
earn on her fifth and final quiz so that both the mean and median of her quiz scores is 21?
points
cups of water fill 4 identical water bottles. How many cups fill each bottle?
Answer:
.8 or 4/5ths cup
Step-by-step explanation:
divide number of bottles by cups
4 1/2 is 4.5
5 5/8 is 5.625
4.5/5.625 = .8 (or 4/5ths)
What is the inverse of (- 2 3?
The inverse of (- 2 . 3 ) is (1 / - 2.3 ).
In mathematics, the inverse of a number refers to the concept of taking its reciprocal; for instance (2 . w ) results in its reciprocal as ( 1/ 2. w ). When a number is multiplied by its inverse the result yields 1, meaning that the product of the number and its inverse, i.e. reciprocal always equals 1.
As per the given number which is (-2.3) and its inverse is ( 1 / -2.3 ), when these two numbers are multiplied together they result in 1. Such as:
(-2.3) x ( 1 / -2.3 ) = 1
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A sterilization procedure yields a decimal reduction time of
0.65 minutes. Calculate the minimum sterilization time required to
yield 99.9% confidence of successfully sterilizing 50 L of medium
containing 10^6 contaminating organisms using this procedure.
The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.
To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.
The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.
To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.
To calculate the minimum sterilization time, we can use the following formula:
Minimum Sterilization Time = D-value × log10(N0/Nf)
Where:
D-value is the decimal reduction time (0.65 minutes).
N0 is the initial number of organisms (10^6).
Nf is the final number of organisms (10^6 × 10^-3).
Let's calculate it step by step:
Nf = N0 × 10^-3
= 10^6 × 10^-3
= 10^3
Minimum Sterilization Time = D-value × log10(N0/Nf)
= 0.65 minutes × log10(10^6/10^3)
= 0.65 minutes × log10(10^3)
= 0.65 minutes × 3
= 1.95 minutes
Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes
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Firing a piece of pottery in a kiln takes place at different temperatures for different amounts of time. The graph below shows the temperatures in a kiln while firing a piece of pottery after the kiln is preheated to 200°F. During which time interval did the temperature in the kiln show the SMALLEST average rate of change? *
Answer: 0-1hr
Step-by-step explanation: lollll
Reduce as a power with a positive exponent. a.x⁴:x⁷
b.(1/2)-⁸ (1/2)⁸
c.(3-³×3⁸)/3³
d.(-2)⁵ (-2)-⁷
e.(2-⁴/2⁶)-²
f. 3⁴(-3)⁶
g. (x⁴y-²)-³
h. (ab)⁴ : a²b
i. (x/y)⁴ (y/z)² (z/x)³
j. ((a⁴bc²)-² (ab³c²)³)/(a²b²c)-¹
After reducing each in the positive exponent:
1) 1/x³
2) 0
3) 1 /\(3^{5}\)
4) \(-2^{-2}\)
5) \(2^{20}\)
6) \(-3^{10}\)
7) \(y^6/x^{12}\)
8) a²b³
9)xz / y²
10)\(b^{9} c^7 /a^3\)
1)
Given,
x⁴:x⁷
Now according to the power rule:
\(a^{m} / a^{n} = a^{m-n}\)
x⁴:x⁷
= 1/x³
2)
Given,
(1/2)-⁸ (1/2)⁸
∴\(a^{0} = 1\)
Hence,
1 - 1 = 0
3)
Given,
(3-³×3⁸)/3³
Using exponent rule,
(1/3³ × 3^0)/ 3²
use,
\(a^{m} * a ^n = a^{m+n}\)
= 1 /\(3^{5}\)
4)
Given,
(-2)⁵ (-2)-⁷
use,
\(a^{m} * a ^n = a^{m+n}\)
\(-2^{-2}\)
5)
Given,
(2-⁴/2⁶)-²
Now according to the power rule:
\(a^{m} / a^{n} = a^{m-n}\)
= \(2^{20}\)
6)
Given,
3⁴(-3)⁶
use,
\(a^{m} * a ^n = a^{m+n}\)
= \(-3^{10}\)
7)
Given,
(x⁴y-²)-³
use,
\(a^{m} * a ^n = a^{m+n}\)
=\(x^{-12} y^{6}\\ y^6/x^{12}\)
8)
Given,
(ab)⁴ : a²b
Now according to the power rule:
\(a^{m} / a^{n} = a^{m-n}\)
=a²b³
9)
Given,
(x/y)⁴ (y/z)² (z/x)³
\(= (x^4/y^4 )(y^2/z^2)(z^3/x^3)\\= (xz)/y^2\)
10)
((a⁴bc²)-² (ab³c²)³)/(a²b²c)-¹
Now according to the power rule:
\(a^{m} / a^{n} = a^{m-n}\)
\(=(a^-5 b^7 c^6)/ (b^{-2} c^{-1} )\\\\= b^9 c^7/a^3\)
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If the volume of a cubical room is 2700 cm^3 . Find its length
Step-by-step explanation:
If the volume of a cubical room is 2700 cm³ .
l³=2700
l=3 (100)⅓
BRAINLIEST HELP PLEASE
Given vector u= 20(cos30^degrees, sin30^degrees what are the magnitude and direction of −3u?
−60; −90°
−60; 30°
60; 90°
60; 210°
Answer:
(d) 60; 210°
Step-by-step explanation:
The factor -3 is equivalent to 3∠180°. The given product is then ...
u = 20∠30°
-3u = (3∠180°)(20∠30°) = (3·20)∠(180°+30°) = 60∠210°