Answer:
To simplify this equation you would use the distributive property and distribute -c through 11c+4
-c*11c=-11c^2
-c*4=-4c
-11c^2-4c would be your simplified express
Step-by-step explanation:
none
a box contains 7 red and 3 green balls. two balls are drawn one after another from the box. determine the probability that both are red
0.16 Rewrite as a simplified fraction.
Answer:
4/25 i belive
Step-by-step explanation:
The average mortgage payment for citizens in a small city is $1900 with standard deviation $400. What proportion of the mortgage payments are between $1100 and $2700?
a. about 99.7% b. unknown
c. about 95%
d. about 68%
e. at least 8/9
f. at least 3/4
The proportion of the mortgage payments between $1100 and $2700 is (c) about 95%
How to determine the proportionFrom the question, we have the following parameters that can be used in our computation:
Average = 1900
Standard deviation = 400
Payments are between $1100 and $2700
Calculate the z scores using:
Z = (X - Mean) / Standard deviation
So, we have
Z for $1100:
(1100 - 1900) / 400 = -2
Z for $2700:
(2700 - 1900) / 400 = 2
The proportion is then calculated as
P = (-2 < z < 2)
This gives
P = 0.9545
This means
P = approximately 95%
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In ΔNOP, the measure of ∠P=90°, NO = 49 feet, and OP = 19 feet. Find the measure of ∠N to the nearest degree
The measure of angle N is given as follows:
m < N = 23º.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:
Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.For angle N, we have that:
NO = 49 is the hypotenuse. (as P is the right angle).OP = 19 is the opposite side.Hence we apply the sine ratio to obtain the measure of angle N as follows:
sin(N) = 19/49
N = arcsin(19/49)
m < N = 23º.
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The distance between New Orleans and Houston is 353 miles. At 12:20 PM, a bus
leaves Houston for New Orleans at a speed of 60 mph. Forty-five minutes later, a
motorcycle leaves New Orleans for Houston at a speed of 72 mph. At what time will
the bus and the motorcycle pass each other if neither stops nor changes speed?
Answer:
3:25 pm
Step-by-step explanation:
The distance between New Orleans and Houston is : 353 miles
Departure time of the bus : 12:20 pm
Speed of the bus: 60 mph
After 45 minutes, the bus will be at a distance of : 45/60 * 60 = 45 miles
Distance remaining to cover = 353-45 = 308 miles
Speed of the motorcycle = 72 mph
Relative speed = 60 + 72 = 132 mph
Time the two will meet = 308 / 132 = 7/3 hrs
7/3 hrs = 2 hrs 20 minutes
Time the two will meet is ;
12:20 pm + 45 minutes + 2 hrs 20 minutes
= 3:25 pm
Both the bus and the motorcycle are driving opposite to each other.
From the given data, the time at which both the bus and the motorcycle will pass each other is 3:25 PM
Given that:Distance between New Orleans and Houston = 353 miles.Bus leaves Houston for New Orleans at 12:20 PM.Speed of bus = 60 mphAfter 45 minutes, the motorcycle leaves New Orleans for Houston at 72 mph.To find:The time at which both the motorcycle and the bus will pass each other.
Calculations:Let after t hour from the time when motorcycle starts, they both meet.
Then we have:
353 miles = 45 minute traveled by bus + distance traveled by bus in t hour + distance traveled by motorcycle in t time.
Since 45 minutes is three fourth of an hour, thus:
Distance traveled by bus in 45 minutes is calculated as:
\(D_{Bus}(45 \:\rm min) = 60 \times \dfrac{3}{4} \: \rm miles = 45 \: \rm miles\)
Distance traveled by bus in t hours is:
\(D_{Bus}(t \: \rm hours) = 60 \times t \: \rm miles = 60t \: \rm miles\)
Distance traveled by motorcycle in t hour is:
\(D_{motorcycle}(t \: \rm hours) = 72 \times t \: \rm miles = 72t \: \rm miles.\)
Thus, we have:
\(353 = 60t + 72t + 45\\\\308= 132t\\\\t = \dfrac{308}{132}\\\\t= \dfrac{7}{3}\: \rm hours\\\\t=2 \: \rm hours + 20 \: \rm minutes\)
Thus, time at which they meet was 12:20 PM + 45 minutes + 2 hours + 20 minutes = 3:25 PM
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Write an equation parallel to the line determined by the points (15, -6) and (-3, 13), through: (4, 2)
Answer:
The answer is
\(y = - \frac{19}{18} x + \frac{76}{2} \)Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
That's
Slope of the through points
(15, -6) and (-3, 13) is
\(m = \frac{13 - - 6}{ - 3 - 15} = - \frac{19}{18} \)Since the lines are parallel their slope are also the same
So slope of parallel line = - 19/18
Equation of the line using point (4,2) and slope -19/18 is
\(y - 2 = - \frac{19}{18} (x - 4) \\ y - 2 = - \frac{19}{18} x + \frac{38}{9} \\ y = - \frac{19}{18} x + \frac{38}{9} + 2\)We have the final answer as
\(y = - \frac{19}{18} x + \frac{76}{2} \)Hope this helps you
Answer:y=-1.583x-8.332
Step-by-step explanation:
First find slope from two points (-6-13)/(15+3)=-1.583
Now line is parallel so the slope would be same for the other line passing through (4,2) now as the general equation of line is
y=mx+c
2=-1.583(4)+c
Solving for c equals to -8.332
So final equation is
y=1.583x-8.332
What is the last digit when you multiply by 10?
5
1
0
Answer:
0 is the last digit. Hope this helps
Which relation is a function? (look at image below)
Answer:
Bottom Right Graph (Absolute Value)
General Formulas and Concepts:
Vertical Line TestStep-by-step explanation:
When we apply the VLT to the 4 different graphs, we see that the only graph that actually passes the VLT is the absolute value graph. Therefore, that is our answer (none of the other graphs pass the VLT).
What’s the answer !!
Fill in the missing value. 4:9 = ? : 36
i think it may be 16:36
explanation: if the 9 was multiplied by 4 which 9x4 is 36 it means that the 4 for the 4:9 will probably end up 16 hence 4x4 is 16 making the answer probably 16:36 to my own understanding
Check out this cube:
2
2
Find the surface area of the cube (above) using its net (below).
2
2
Answer:
8
Step-by-step explanation:
2 x 2 x 2
1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?
Answer:
$378
Step-by-step explanation:
(9000 x 0.70%) * 6 = 378
Write an algebraic expression that models the word phrase. the product of and the sum of a number x and 10
The algebraic expression that models the word phrase "the product of and sum of a number x and 10" is 8 × ( x + 10).
According to the given question.
We have a word phrase
"The product of and sum of 8 a number x and 10"
As, we know that an algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc).
Thereofre, the algebraic expression that models the word phrase "the product of and sum of a number x and 10" is
8 × ( x + 10)
Hence, the algebraic expression that models the word phrase "the product of and sum of a number x and 10" is 8 × ( x + 10).
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Help please with this bath problem the picture above
Answer:
a relation that is a function
Step-by-step explanation:
What are the common factors of 14 28 and 42?
The numbered list gives instructions to bisect a line segment, but the steps are out of order.
1. Use a straightedge or ruler to draw a straight line from the point where the arcs cross above the line segment to the point where the arcs cross below
2. Adjust the compass so that it is just a bit larger than half of the length of the line segment.
3. Use the compass to draw arcs above and below the line segment.
4. Place the pointed end of a compass at one of the terminal points of the line segment.
5. Without changing the compass width, place the point at the other terminal point, and draw arcs above and below the lir
If the line segment is already given, which is the correct order of the remaining steps to bisect the line segment?
O 1, 3, 2, 4, 5
O 3, 5, 1, 4, 2
O 4, 2, 3, 5, 1
O 5, 4, 3, 2, 1
Answer: 4, 2, 3, 5, 1
Step-by-step explanation:
First, you need to set your compass width or set the compass at one of the terminal points.
After, you can draw arcs above and below.
Then, repeat for the other terminal point.
Finally, connect the intersection of the arcs.
TRICK QUESTION
(1st correct answer gets brainliest)
How do you go 100 days without sleeping?
Answer:
you go to sleep at night is the correct answer
a sweepstakes gives away $1 000 000, by giving away $25 in the first week, $75 in the second week, $225 in the third week, and so on. how many weeks will it take to give away all of the prize money.
It will take approximately 12 weeks to give away all of the prize money according to the given geometric progression
The series in question is a geometric series, meaning it can be defined by a formula. find out how many weeks it will take to give away all of the prize money. a sweepstakes gives away $1,000,000 by giving away $25 in the first week, $75 in the second week, $225 in the third week, and so on. To find out how many weeks it will take to give away all of the prize money, sum up the series.
The formula for the sum of a geometric series is given by;
\(S_n=\frac{a(1-r^n)}{1-r}\)
where a is the first term
- r is the common ratio
- n is the number of terms
In this case, a = 25 and r = 3. find how many weeks it will take to give away all of the prize money, find n such that the sum of the series is equal to $1,000,000. Therefore, we have;
\(S_n=\frac{25(1-3^n)}{1-3}\)
\(S_n=-\frac{25(3^n-1)}{2}\)
\(1,000,000=-\frac{25(3^n-1)}{2}\)
\(-40,000=3^n-1\)
\(3^n=39,999\)
\(n=\log_3 39,999 \approx 11.38\)
Therefore, it will take approximately 12 weeks to give away all of the prize money.
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An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table.
y
p(x, y)
0 5 10 15
x 0 0.03 0.06 0.02 0.10
5 0.04 0.15 0.20 0.10
10 0.01 0.15 0.13 0.01
(a) Compute the covariance for X and Y. (Round your answer to two decimal places.)
Cov(X, Y) =
(b) Compute rho for X and Y. (Round your answer to two decimal places.)
rho =
(a) The covariance for X and Y i.e., Cov(X,Y) = -0.01
(b) rho for X and Y is -0.00038 (rounded to two decimal places).
To compute the covariance of X and Y, we have the following formula:
Cov(X,Y) = E[XY] - E[X]E[Y]
Where E[X] and E[Y] represent the expected values of X and Y respectively, while E[XY] represents the expected value of the product of X and Y.
Now to compute the covariance:
XY: 0(0.03) + 5(0.04) + 10(0.01) + 5(0.15) + 10(0.15) + 15(0.02) + 20(0.2) + 30(0.1) + 15(0.13) + 30(0.01) = 8.2E[X] = 0(0.03+0.06+0.02+0.1) + 5(0.04+0.15+0.2+0.1) + 10(0.01+0.15+0.13+0.01) = 7.3E[Y] = 0(0.03+0.04+0.01) + 5(0.06+0.15+0.15) + 10(0.02+0.2+0.13) + 15(0.02+0.1) = 10.1
So Cov(X,Y) = E[XY] - E[X]E[Y] = 8.2 - 7.3(10.1) = -0.01
Therefore, Cov(X,Y) = -0.01
To compute the correlation coefficient, we have the formula:
ρ = Cov(X,Y) / (σ_xσ_y)
Where Cov(X,Y) is the covariance, σ_x is the standard deviation of X, and σ_y is the standard deviation of Y.
To find σ_x:
σ_x = sqrt[0(0.03+0.06+0.02+0.1) + 5(0.04+0.15+0.2+0.1) + 10(0.01+0.15+0.13+0.01) - (7.3)^2]σ_x = 4.25
To find σ_y:
σ_y = sqrt[0(0.03+0.04+0.01) + 5(0.06+0.15+0.15) + 10(0.02+0.2+0.13) + 15(0.02+0.1) - (10.1)^2]
σ_y = 6.48
So ρ = Cov(X,Y) / (σ_xσ_y) = -0.01 / (4.25)(6.48) = -0.00038
Therefore, rho = -0.00038 (rounded to two decimal places).
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Write the following numbers in scientific notation: a. 20405000 b. 0.0202020 c. 0.3450 d. .000011111 e. 101010 f. 0.090650 2. Write the answers to the correct significant figures: a. 10.0592+5.601+4.210 b. (19.341−7.23)×6.9111/4.321= c. 2.34965×8.231= d. 51.41/5.42= e. (7.59+9.20)/(6.23×1.110) 3. Convert 425 K to
∘
F 4. Convert 30
∘
C to
∘
F 5. Conver 97
∘
F to K 6. 10 grams of Al occupy 4ml. What is the density 7. 30 grams of one item in 1.1 quarts. What is the density in g/ml 8. Convert 10Km to miles by using all the steps
a. 2.0405 x 10^7
b. 2.0202 x 10^-2
c. 3.450 x 10^-1
d. 1.1111 x 10^-5
e. 1.0101 x 10^2
f. 9.0650 x 10^-2
a. To convert 20405000 to scientific notation, we move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. This gives us 2.0405, and since we moved the decimal point 7 places to the left, we multiply by 10^7. Therefore, 20405000 can be expressed as 2.0405 x 10^7.
b. To convert 0.0202020 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 2.0202, and since we moved the decimal point 2 places to the right, we multiply by 10^-2. Therefore, 0.0202020 can be expressed as 2.0202 x 10^-2.
c. To convert 0.3450 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 3.450, and since we moved the decimal point 1 place to the right, we multiply by 10^-1. Therefore, 0.3450 can be expressed as 3.450 x 10^-1.
d. To convert 0.000011111 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 1.1111, and since we moved the decimal point 5 places to the right, we multiply by 10^-5. Therefore, 0.000011111 can be expressed as 1.1111 x 10^-5.
e. To convert 101010 to scientific notation, we move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. This gives us 1.01010, and since we moved the decimal point 2 places to the left, we multiply by 10^2. Therefore, 101010 can be expressed as 1.0101 x 10^2.
f. To convert 0.090650 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 9.0650, and since we moved the decimal point 1 place to the right, we multiply by 10^-1. Therefore, 0.090650 can be expressed as 9.0650 x 10^-2.
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An urban economist wishes to estimate the proportion of Americans who own their house. What size sample should be obtained if he wishes the estimate to be within 0.02 with 90% confidence if
(a) he uses a 2010 estimate of 0.669 obtained from the U.S Census Bureau?
(b) he does not use any prior estimate.?
(a) The sample size needed is 1,498 if the researcher uses the prior proportion of 0.669.
n = 1.497.87 or 1,498
(b) The researcher should use a sample size of 1,692 if the proportion is unknown.
n = 1,691.06 or 1,692
Sample Size:When a researcher is designing a sampling study to measure a population parameter, like the proportion, the sample size must be determined. The key to calculating sample size is the margin of error the researcher desires. The smaller the margin of error, the larger the sample size needed.
(a) The sample size needed is 1,498 if the researcher uses the prior proportion of 0.669.
To find sample size for the proportion use the equation:
\(n=\frac{Z^2\pi (1-\pi )}{e^2}\)
Where:
n is the sample sizeZ is the Z score which from a Z table, or Excel, is found to be 1.6449 for 90% confidence level.\(\pi\) = the population proportion = 0.669e = is the margin of error. = 0.02Substituting values:
\(n=\frac{1.6449^2*0.50*0.331}{0.02^2}\)
n = 1.497.87 or 1,498
(b) The researcher should use a sample size of 1,692 if the proportion is unknown.
Use the same equation as in part (a). However, to maximize \(\pi (1-\pi )\) use 0.5 for \(\pi\).
Substituting the values:
\(n=\frac{1.6449^2*0.50*0.500}{0.02^2}\)
n = 1,691.06 or 1,692
Always round up because it is impossible to have a fraction of an observation.
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Which equation represents the relationship between x and y?
Answer:
y=x+1
Step-by-step explanation:
The width of a yard is actually 20 ft, it is 16 in on the drawing. What is the scale of the drawing?
The scale of the drawing is 1:15
To determine the scale of the drawing, we need to find the ratio between the actual width of the yard and the width represented in the drawing.
Given that the actual width of the yard is 20 ft and it is represented as 16 in on the drawing, we need to convert the measurements to the same units before finding the ratio.
Since 1 ft is equal to 12 inches, the actual width of the yard in inches is:
20 ft * 12 in/ft = 240 in.
Now we can calculate the scale of the drawing by finding the ratio between the width in the drawing and the actual width:
Scale = Width on the drawing / Actual width
Scale = 16 in / 240 in
Simplifying the ratio:
Scale = 1/15
Therefore, the scale of the drawing is 1:15, which means that every inch on the drawing represents 15 inches in reality.
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The local softball field has a lemonade stand. The graph shows the amount that of money in the cash register of the lemonade stand
1. What is the y-intercept?
2.What dose the y-coordinate of the y-intercept of the function represent
3. What is the slope
4What dose the slope of the function represent
Answer:
Cant tell you without data
Step-by-step explanation:
What are the Slope, Y-Intercept, and equation?
What is the area of triangle ABC if a = 7, c = 11, and B = 55°?
Round the answer to the nearest hundredth.
The area of the triangle is 31.54 square units
How to determine the area of the triangleFrom the question, we have the following parameters that can be used in our computation:
We have the following values
a = 7 units
c = 11 units
B = 55 degrees
The area of the triangle is calculated using the following area formula
Area = 1/2absin(C)
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * 7 * 11 * sin(55 degrees)
Evaluate
Area = 31.54
Hence, the area is 31.54 square units
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"Another name for Phase 5: Systems Implementation is ________.
A) Feasibility
B) Conversion
C) Analysis
D) Development"
Phase 5: The system of implementation is conversion.
Option B is the correct answer.
We have,
Phase 5 of the system development life cycle is commonly referred to as "Conversion" or "Systems Implementation."
During this phase,
The focus shifts from planning and designing the system to actually implementing it.
This phase involves the conversion of the old system to the new system, which includes activities such as data conversion, software installation, hardware setup, user training, and system testing.
The term "Conversion" is used because it signifies the transition from the old system to the new system.
It involves migrating data, processes, and operations from the existing system to the new system.
This phase ensures that the newly developed system is successfully integrated into the organization and becomes fully operational.
Thus,
Phase 5: The system of implementation is conversion.
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Question:
x^2+7x+12
Help please, thank you❤️
a 20 pound turkey serves 28 how many will a 30 pound turkey serve
Answer:
42
Step-by-step explanation:
half of 20 is 10
half of 28 is 14
so 10 pounds=14 people
if 10 pounds=14 people and theres 30 people
you add 14 3 times for each ten
hope this helps give me my piece of turkey now
captain rusczyk tracked down a pirate who had stolen $2345 {6}$ dollars worth of goods from his ship. after winning an epic duel, the captain demands that the pirate return $41324 {5}$ dollars. how much has the pirate gone in debt due to his encounter with rusczyk? express your answer in base $10$.
The pirate has gone into debt by $38,979 in base 10 due to his encounter with Captain Rusczyk.
To determine the amount of debt, we need to calculate the difference between the value of the goods the pirate stole and the amount demanded by Captain Rusczyk. The pirate initially stole $2345_6, which means it is in base 6. Converting this to base 10, we have $2\times6^3 + 3\times6^2 + 4\times6^1 + 5\times6^0 = 2\times216 + 3\times36 + 4\times6 + 5\times1 = 432 + 108 + 24 + 5 = 569$.
Captain Rusczyk demanded $41324_5, which means it is in base 5. Converting this to base 10, we have $4\times5^4 + 1\times5^3 + 3\times5^2 + 2\times5^1 + 4\times5^0 = 4\times625 + 1\times125 + 3\times25 + 2\times5 + 4\times1 = 2500 + 125 + 75 + 10 + 4 = 2714$.
Therefore, the pirate has gone into debt by $569 - 2714 = -2145$. Since the pirate owes money, we consider it as a negative value, so the pirate has gone into debt by $38,979 in base 10.
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