Answer:
RT = 23
Step-by-step explanation:
We will have a line that essentially goes like this:
R-----S-----T
The distance from R to S is 12 units.
The distance from S to T is 11 units.
We need to find the distance from R to T.
R is the starting point and T is the ending point.
To find the total distance, we can add both line lengths.
12 + 11 = 23 units
Best of Luck!
how to solve step by step 4(x-7)=-6x+12
Answer:
x = 3
Step-by-step explanation:
4 ( x - 7 ) = -6x + 12
→ Expand brackets
4x - 28 = -6x + 12
→ Add 6x to both sides
10x - 28 = 12
→ Add 28 to both sides
10x = 30
→ Divide both sides by 10
x = 3
what’s the answer ??
Answer:
3132
Step-by-step explanation:
2.2% of 3500 is 77 which leaves you with 3423 after one year. At this rate you can take 2.2% of 3423. using this formula five times you reach a final answer of 3132.
3500
-77
3423
-75.306
3347.694
-73.649268
3274.044732
-72.028984104
3202.0157479
-70.4443464538
3131.57140145
and rounding up to a whole leaves you with 3132
Help me !!!!!!!!!!!!!!!!
Answer:
c/9 >= 15
Step-by-step explanation:
c divided by 9 is greater than or equal to 15
What is the surface area of the rectangular prism below?
Answer:
D. 490
Step-by-step explanation:
If you multiply all you get 490 D
What Z-score value separates the top 70% of a normal distribution from the bottom 30%? a. z=0.52
c. z=-0.52 b. z=0.84 d. 2= -0.84 10.
The area to the left of the z-score corresponds to the cumulative probability up to that point. The correct answer is b. z=0.84.
To find the z-score that separates the top 70% from the bottom 30%, we need to look up the corresponding percentile in a standard normal distribution table.
The area to the left of the z-score corresponds to the cumulative probability up to that point. For example, if we look up a z-score of 0.84 in the table, we find that the area to the left of that value is 0.7995, or 79.95%.
Since we want to find the value that separates the top 70% from the bottom 30%, we subtract 0.30 (or 30%) from 1.00 to get 0.70 (or 70%). We then find the z-score that corresponds to that area, which is approximately 0.84.
Therefore, the answer is b. z=0.84.
To find the Z-score value that separates the top 70% of a normal distribution from the bottom 30%, you need to look for the Z-score corresponding to the 70th percentile. In this case, the correct answer is:
b. z=0.52
Here's a step-by-step explanation:
1. Determine the percentile you're looking for, which is the 70th percentile (separating the top 70% from the bottom 30%).
2. Consult a Z-score table or use a calculator to find the Z-score corresponding to the 70th percentile.
3. The Z-score for the 70th percentile is approximately 0.52.
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Marjorie needs to cut 7 yards of fabric into sections that are 7 of a yard long. How many sections will she be able to cut from the
fabric?
A
2
B.
14
C.
6/7
D.
49
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So she needs sections that are 1/7th of a yard long
There are 7 'sevenths' in one yard
Multiply this value by the number of yards:
7 x 7 = 49
The answer would be D. 49
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The theater director recorded the number of seats occupied at past performances and the total revenue per
performance.
After plotting her results, the director noticed that the relationship between the two variables was fairly linear,
so she used the data to calculate the following least squares regression equation for predicting the total
revenue, in dollars, from the number of seats occupied.
= -325 + 143
What is the residual of a performance with a revenue of $700 and 70 seats occupied ?
The residual of a theatre performance with a revenue of $700 and 70 seats occupied is 45.
What is the residual of the performance?From the information illustrated, the theater director recorded the number of seats occupied at past performances and the total revenue per performance.
The equation is given as:
y = -325 + 14x
y = actual performance for 70 seats occupied
For x = 70
y = -325 + 14x
= 325 + 14(70)
= -325 + 980
= 655
Therefore, the residual will be:
= 700 - 655
= 45
The residual is 45.
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Use the table of values to determine the line of regression. Determine if the regression line would be a good predictor of other data points.
x 7.2 7.4 9.8 9.4 8.8 8.4
y 116 154 245 202 200 191
A. ŷ = 40.2 - 157x; yes, because the r-value is high.
B. ŷ = -157 + 40.2x; yes, because the r-value is high.
C. ŷ = -157 +40.2x; no, because the r-value is low.
D. ŷ = 40.2 - 157x; no, because the r-value is low.
the correct answer is B. ŷ = -157 + 40.2x; yes, because the r-value is high. The regression line would be a good predictor of other data points because of the strong linear relationship between x and y, as indicated by the high r-value.
To determine the line of regression, we can use linear regression analysis. The regression line is a straight line that best represents the relationship between the two variables. It is determined by minimizing the sum of squared deviations between the observed values and the predicted values of the response variable.
Using a calculator or statistical software, we can find that the regression line for this data set is:
ŷ = -22.2933 + 32.0472x
The r-value (correlation coefficient) for this data set is 0.969, which is relatively high. This indicates a strong positive linear relationship between x and y.
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the model below represents subsets of rational numbers. In which subset of real numbers does the number -1/6 belong?
Answer:
D
Step-by-step explanation:
Whole numbers are the basic counting numbers:
Integers are whole numbers and negative numbers:
Rational numbers are all fractions where m is an integer and n is a natural number.
Irrational numbers are all real numbers that are not rational.
Number is irrational number (it is not counting number, so it is not whole number, not integer number), it cannot be represented as a fraction, so it is not rational number, thus this number is irrational number.
The product of integer number -2 by irrational number is irrational number
Correct option - option D
s + –177 = –423 solve for s
Assume there is a sample of n
1
=4, with the sample mean
X
1
=35 and a sample standard deviation of S
1
=4, and there is an independent sample of n
2
=5 from another population with a sample mean of
X
ˉ
2
=31 and a sample standard deviation S
2
=5. In performing the pooled-variance t test, how many degrees of freedom are there? There are degrees of freedom. (Simplify your answer.)
There are 7 degrees of freedom.
In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)
Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7
Therefore, there are 7 degrees of freedom.
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There are 7 degrees of freedom for the pooled-variance t-test.
To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:
\(\[\text{{df}} = n_1 + n_2 - 2\]\)
where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.
In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:
\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)
In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.
To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.
In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.
Therefore, there are 7 degrees of freedom for the pooled-variance t-test.
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Alice and Bob have just met, and wonder whether they have a mutual friend. Each has 50 friends, out of 1000 other people who live in their town. They think that its unlikely that they have a friend in common, saying each of us is only friends with 5% of the people here, so it would be very unlikely that our two 5%s overlap. Assume that Alices 50 friends are a random sample of the 1000 people (equally likely to be any 50 of the 1000), and similarly for Bob. Also assume that knowing who Alices friends are gives no information about who Bobs friends are.
(a) Compute the expected number of mutual friends Alice and Bob have.
(b) Let X be the number of mutual friends they have. Find the PMF of X.
(c) Is the distribution of X one of the important distributions we have looked at? If so, which?
The expected number of mutual friends Alice and Bob have is 2.5.
In the scenario described, Alice and Bob each have 50 friends out of 1000 people in their town. They believe that the probability of having a mutual friend is low since each of them is only friends with 5% of the population. To calculate the expected number of mutual friends, we can consider it as a matching problem.
Alice's 50 friends can be thought of as a set of 50 randomly selected people out of the 1000, and similarly for Bob's friends. The probability of any given person being a mutual friend of Alice and Bob is the probability that the person is in both Alice's and Bob's set of friends.
Since the selection of friends for Alice and Bob is independent, the probability of a person being a mutual friend is the product of the probability that the person is in Alice's set (5%) and the probability that the person is in Bob's set (5%). Therefore, the expected number of mutual friends is \(0.05 * 0.05 * 1000 = 2.5\).
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Kim buys a carpet for a room. The carpet measures 6 metres by 6 metres. Kim pays £390 for the carpet. The room measures 5 metres by 5 metres. Work out the cost of the carpet she does not use.
Area = Length x width
Area of carpet = 6 x 6 = 36 square meters
Cost of carpet per square meter = total cost / area
Cost per square meter: 390 / 36 = £10.83
Area of room = 5 x 5 = 25 square meters.
Area of rug not used = area of room subtracted from area of carpet:
36 - 25 = 11 square meters
Cost of the carpet not used = area of carpet not used x cost per square meter
11 x 10.83 = 119.13
ANSWER: £119.13
Answer:
Area = Length x width
Area of carpet = 6 x 6 = 36 square meters
Cost of carpet per square meter = total cost / area
Cost per square meter: 390 / 36 = £10.83
Area of room = 5 x 5 = 25 square meters.
Area of rug not used = area of room subtracted from area of carpet:
36 - 25 = 11 square meters
Cost of the carpet not used = area of carpet not used x cost per square meter
11 x 10.83 = 119.13
ANSWER: £119.13
Step-by-step explanation:
what does most specifically describe? a. a minor arc b. a major arc c. a semicircle d. a chord
The term "most specifically" is used to indicate the option that is the most specific or narrowest in meaning among the choices is d. chord.
The term "most specifically" is used to indicate the option that is the most specific or narrowest in meaning among the choices. Let's examine each option in the context of geometry:
a. A minor arc: A minor arc is a portion of a circle that measures less than 180 degrees. It is not the most specific term because it encompasses a range of arc sizes smaller than a semicircle, but it does not provide a narrower definition than other options.
b. A major arc: A major arc is a portion of a circle that measures more than 180 degrees. Similar to a minor arc, it does not provide the narrowest definition among the options.
c. A semicircle: A semicircle is a half of a circle, dividing it into two equal halves. This option is more specific than both minor and major arcs because it refers to a precise geometric shape with a 180-degree angle. However, there is one more option left to consider.
d. A chord: A chord is a straight line segment that connects two points on a circle. It is the most specific option among the choices because it refers to a specific geometric element—a line segment—within a circle.
So, The option that most specifically describes a geometric concept is:d. a chord.
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Using the quadratic formula, solve the
equation below to find the two possible
values of t.
6x^2-35=-11x
Give each value as a fraction in its
simplest form.
Answer:
x= 19/12, -41/12
Step-by-step explanation:
I'm guessing x is "t".
The quadratic formula is x=(-b+-sqrtb^2-4ac)/2a I know that this is hard to read sorry!
Plug in a, b, and c.
Oh yeah, first convert it to the form Ax^2+bx+c
so 6x^2-35=-11x
6x^2+11x-35=0
(-11+-sqrt11^2-(-4*6*35))/2*6
Simply: (-11+-sqrt 121+840)/12
(-11+-sqrt961)/12
(-11+-31)/12
-11+30=19
-11-30=-41
x= 19/12, -41/12
The graph below shows a household’s budget. What angle measure was used to construct the section representing insurance?
43.2°
46.8°
36°
72°
Answer:
\(.12 \times 360 \: degrees = 43.2 \: degrees\)
help please ?
A.62.8
B.20.9
C.41.9
D.120
Answer: a
Step-by-step explanation:
the most recent earthquake in texas reached a magnitude of 3.3 on the richter scale. determine the seismograph reading of the earthquake. using M(I)=log (I/.001)
The seismograph reading of the earthquake is approximately 1.99526.To determine the seismograph reading of the earthquake with a magnitude of 3.3 on the Richter scale, we can use the formula M(I) = log(I/0.001), where M(I) represents the magnitude and I represents the intensity of the earthquake.
In this case, we are given the magnitude of 3.3. Let's substitute this value into the formula and solve for I:
3.3 = log(I/0.001)
To isolate I, we need to convert the equation into exponential form:
10^(3.3) = I/0.001
Simplifying the equation, we have:
I = 10^(3.3) * 0.001
Using a calculator, we find that 10^(3.3) is approximately 1995.26.
So, the seismograph reading of the earthquake is:
I = 1995.26 * 0.001
≈ 1.99526.
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Suppose the mean percentage in Algebra 2B is 70% and the standard deviation
is 8%. What percentage of students receive between a 70% and 94% Enter the
value of the percentage without the percent sign.
HELP PLEASE!!
Answer:
49.87%
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 70%
σ is the population standard deviation = 8%
a) For x = 70%
z = 70% - 70%/8%
z = 0
Probability value from Z-Table:
P(x = 70) = 0.5
b) For x = 70%
z = 94% - 70%/8%
z = 3
Probability value from Z-Table:
P(x = 94) = 0.99865
The probability of students that receive between a 70% and 94%
P(x = 94) - P(x = 70)
0.99865 - 0.5
0.49865
Therefore, the percentage of students that receive between a 70% and 94% is
0.49865 × 100
= 49.865%
Approximately = 49.87%
If the product of p*q*r is an irrational number, and p is a rational number,
which of the following statement can be said about g andr
Only a can be irrational
Both q and must be irrational
Both qand may be irrational
may beration
Answer:
only q or r can be irrational
Step-by-step explanation:
Rational numbers are numbers that can be expressed in the form a/b, where both a and b are integers and b ≠ 0. The decimal representation of an rational numbers either repeats the sequence of digits over again or terminates at a finite number.
Irrational numbers are numbers that are not rational. The decimal representation of an irrational number does not repeat a sequence of digits over again and never terminates. e.g √2, π.
The product of two irrational numbers is a rational number, the product of two rational numbers is a rational number while the product of a rational and irrational number is an irrational number. Hence since in p*q*r is an irrational number and p is a rational number, If both q and r are irrational then:
q*r = irrational * irrational = rational
p*(q*r) = rational * rational = rational. Since the result is not an irrational number then both q and r cannot be irrational.
But, If either q and r are irrational then:
q*r = irrational * rational = rational * irrational = irrational
p*(q*r) = rational * irrational = irrational. Since the result is an irrational number then only q or r can be irrational
Answer:
1) Both q and r may be rational
2) r may be rational if q is irrational
Step-by-step explanation:
I did the quiz and got it right. Also I watched the video twice. You got this!!!!
Relational databases are heavily based on the mathematical concept of: A) Set Theory. B) Bet Theory. C) Get Theory. D) Met Theory.
Relational databases are heavily based on the mathematical concept of: Set Theory. The correct option is (A).
Relational databases are based on the principles of set theory, which deals with sets of elements and their relationships with each other. In a relational database, data is organized into tables, with each table representing a set of related data.
The tables are then related to each other through the use of keys, which allow for the establishment of relationships between different sets of data. The principles of set theory also govern the use of operations such as union, intersection, and difference, which can be used to manipulate the data in the tables.
Therefore, the mathematical concept of set theory is a fundamental part of the design and use of relational databases.
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AJSKASJASJJAJSKJSAKSJAJKS What is x
A car salesman sold two cars worth a total of $67,500. He was paid a commission of $2,025.
Answer:
280%
Step-by-step explanation:
67,500 divided by 2,025 is 280.25
The original price of a television is reduced by 25%. This new price is then increased by 25%. Calculate the price of the television now as a percentage of the original price.
Answer: 93.75%
Step-by-step explanation: We can assume any price and find the percentage change. I'll choose $100, since it is easy to work with.
The first 25% reduction means we subtract $25 from the $100, for a sales price of $75. We then increase the sales price by 25% (1.25*75) = $93.75.
$93.75/$100 = 93.75% of the original price
Here are the statements
Answer:
Step-by-step explanation:
the answer is c
Multiply the Polynomials:
(2x+3) (-x+2y-4)
The result of multiplying the polynomials is (2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
How to multiply the polynomials?The polynomial expression is given as
(2x + 3) (-x + 2y - 4)
Expand the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = 2x * (-x + 2y - 4) + 3 * (-x + 2y - 4)
Open the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 8x + -3x + 6y - 12
Evaluate the like terms in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
Hence, the solution is -2x² + 4xy - 11x + 6y - 12
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I need help. What does n equal.
\(5n^{2}=7n-2\)
Answer:
\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)
Step-by-step explanation:
\(\rightarrow 5n^2 = 7n -2\)
\(\rightarrow 5n^2 - 7n +2=0\)
\(\rightarrow 5n^2 - 5n -2n+2=0\)
\(\rightarrow 5n(n - 1) -2(n-1)=0\)
\(\rightarrow (5n-2)(n-1)=0\)
\(\rightarrow 5n-2= 0,\: n-1=0\)
\(\rightarrow 5n= 2,\: n=1\)
\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)
Step-by-step explanation:
\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)
9 (p - 4) = -18 what is the value of the p
Answer:
p=2
Step-by-step explanation:
9(p-4)=-18
9p-36=-18
9p=18
p=2
Answer: p=2
Step-by-step explanation:
Divide -18 by 9 to get (p-4)=-2 and then add the 4 to the 2 to get the answer of 2
what is the area of the figure. 6mm 6mm 8mm 8mm
please hurry
Answer:
224
Step-by-step explanation:
For the square 6*6 = 36
and for the triangles 8*6*2 = 96
96*2 for 2 triangles is 96*2 = 192
192+36 = 224
The formula for the square is length x width or height x base
The formula for EACH triangle is base x height x 2 or divided by 1/2
I multiplied 96 times 2 because there were 2 triangles
Simplify; (³√729)³ + 24
Answer:
\((\sqrt[3]{729} )^{3}\) + 24 can be simplified to 753.
Step-by-step explanation:
If you take the root of a number to a specific number, then square that by the same number you took the root by, then you will have the same number you started with. In this case, \(\sqrt[3]{729}\) equals 9, and \(9^{3}\) equals 729, so \((\sqrt[3]{729} )^{3}\) equals 729. 729 + 24 = 753, so that is the simplified answer.