Answer:
\(y = \frac{1}{4} x + 1\)
Step-by-step explanation:
He got the slope wrong and the y-intercepz wrong
Answer:
He is wrong. His slope is right but his y-intercept is wrong. He did -1 instead of +1.
Step-by-step explanation:
Help I need this badlyuu
Which statement(s) are true? multiple choice question
Step-by-step explanation:
the more likely an event the closer it is to being certain
the more unlikely an event the closer it is to being impossible
greatest common factor for the numbers 18 and 5
Answer:
1
Step-by-step explanation:
they can only go in each 1 time no other numbers possible
HELPPPP simplify: 7! = ?
The solution of number 7! is,
⇒ 5,040
We have to given that,
To simplify 7! and find its value.
Now, by definition of factorial or a number, we get;
⇒ 7!
⇒ 7 × 6 × 5 × 4 × 3 × 2 × 1
Multiply it,
⇒ 5,040
Therefore, The solution of number 7! is,
⇒ 5,040
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a researcher computes a 90% confidence interval for the mean weight (in lbs) of widgets produced in a factory. the interval is (7.2, 8.9). which of these is a correct interpretation of this interval?
(A) There's a 90% chance the population value is between 7.2 and 8.9 oz.
What is confidence interval?You should know that In frequentist statistics, a confidence interval (CI) is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used
The confidence interval is the probability that the population value would fall within a range of values for a number of times. The confidence interval are calculated by adding and subtracting the margin of error to/from the mean.
A 90% confidence interval of (7.2, 8.9) means that their is a 90% confidence or chance that the population value is between 7.2 and 8.9 oz
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PLEASE HELP I NEED THIS ANSWER
Answer:
E
Step-by-step explanation:
Since the value of x is 10 and the value of y is -2, we can plug it into the equation for E. -2 = -1/5(10) which makes it -2=-2 which is true.
Step-by-step explanation:
For every 10 units across (0 to 10),
the line decreases by 2 units (0 to -2).
Slope of line
= Rise / Run = (-2) / (10) = -1/5.
Also the y-intercept of the line is 0
as it passes through the origin.
Hence the equation is y = -1/5 x. (E)
HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
1. The ratio of faculty members to students at a college is 1:18. If there are 16000 students, how many faculty members are there? Round to the nearest whole number
Therefore, there are approximately 889 faculty members at the college.
What is ratio?Ratio is a mathematical concept that expresses the relationship between two or more quantities or values. It is a way to compare the size of two numbers, by dividing one number by the other. The result of this division is a numerical expression of the relative size of the two numbers.
Ratios are often expressed as a fraction or a colon (:) between the two numbers. For example, if there are 4 red balls and 6 blue balls in a bag, the ratio of red balls to blue balls can be expressed as 4/6 or 4:6. This means that for every 4 red balls in the bag, there are 6 blue balls.
Ratios are commonly used in various fields, such as finance, statistics, and science, to compare different values and make meaningful interpretations.
To solve this problem, we need to use the ratio between faculty members and students, which is given as 1:18. This means that for every one faculty member, there are 18 students.
If there are 16000 students in the college, we can find the number of faculty members by dividing the number of students by the ratio of students to faculty members:
Number of faculty members = 16000 / 18
This gives us 888.888, but since we are asked to round to the nearest whole number, we should round up to 889. Therefore, there are approximately 889 faculty members at the college.
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Hi it’s RoseI’m having trouble on this problem from my prep guide, need help solving it
The Equation of a Circle
If a circle has its center at the point (h, k) and has a radius r, the equation of the circle is:
\((x-h)^2+(y-k)^2=r^2\)We are only given the endpoints of the diameter of the circle (3, -2) and (-5, 8). We need to find its center and radius.
These facts will help us to find both parameters:
* The diameter passes through the center of the circle.
* The center of the circle is the midpoint of the diameter.
* The radius of the circle is half the length of the diameter.
The midpoint of the diameter can be calculated as:
\(\begin{gathered} x_m=\frac{3-5}{2} \\ x_m=\frac{-2}{2} \\ x_m=-1 \end{gathered}\)\(\begin{gathered} y_m=\frac{8-2}{2} \\ y_m=\frac{6}{2} \\ y_m=3 \end{gathered}\)The coordinates of the midpoint are (-1, 3) and it happens to be the center of the circle, thus h = -1 and k = 3.
To find the radius, we need to calculate the distance from the center to any of the endpoints. Let's use the points (-1, 3) and (3, -2) and use the formula of the distance:
\(\begin{gathered} r^2=(3+1)^2+(-2-3)^2 \\ r^2=16+25 \\ r^2=41 \end{gathered}\)We don't need to calculate the value of r. Its square is enough to substitute in the general form of the circle to get:
\(\boxed{\mleft(x+1\mright)^2+\mleft(y-3\mright)^2=41}\)Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
Question
A data set is summarized in the frequency table
below. The data set contains a total of 40 data
values. What is the missing frequency?
Value
1
2
3
4
Cr
5
6
7
8
Frequency
2
4
9
[]
6
8
2
4
The required Missing Frequency is 3.
What is frequency ?Frequency is a measure of the number of occurrences of a given event within a specified period of time. It can refer to the number of times a particular event happens in a unit of time.
Such as the number of times a wave or vibration occurs in a second, or the number of times an action occurs in a given period. In physics, frequency is measured in hertz (Hz); in electrical engineering, it is measured in cycles per second (cps). Frequency is also used in mathematics, music, and sound engineering.
Value Frequency
1 2
2 4
3 9
4 ?
5 6
6 8
7 2
8 4
Total 40
We have to find the Missing frequency:
Computation:
Missing frequency = Total frequency - Counted
Missing frequency = 40 - 37
Missing frequency = 3
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simplify 9/14divided7/10
Answer:
45/49
Step-by-step explanation:
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
9/14 * 10/7 = 90/98
divide the numerator and the denominator by 2.
90 * 2 = 45
98 * 2 = 49
45/49
Use rounding to estimate the product of 1249 and 1194. Round both numbers to the nearest hundred to find your answer.
Answer:
1,440,000
Step-by-step explanation:
1249 is rounded to 1200 because 49 is less than half of 100.
1194 is rounded to 1200 because 94 is more than half of 100.
1200 x 1200 = 1,440,000
Part 1
The graph shown is that of a function, f. Determine (a) f(); (b) the domain; (c) all x-values such that f(x); and (d) the range.
Question content area bottom left
Part 1
a) f()
enter your response here
Part 2
b) Find the domain. Select the correct choice below and fill in the answer box to complete your choice.
A.
The domain is the set
.
(Use a comma to separate answers as needed.)
B.
The domain is the interval
enter your response here.
(Type your answer in interval notation.)
Part 3
c) Find all x-values such that f(x). Select the correct choice below and fill in the answer box to complete your choice.
A.
f(x) only for the specific value(s) x
enter your response here.
(Use a comma to separate answers as needed.)
B.
f(x) for all values of x in the interval
enter your response here.
(Type your answer in interval notation.)
Part 4
d) Find the range. Select the correct choice below and fill in the answer box to complete your choice.
A.
The range is the set
.
(Use a comma to separate answers as needed.)
B.
The range is the interval
enter your response here.
(Type your answer in interval notation.)
.
.
.
Question content area right
Part 1
-12
-10
-8
-6
-4
-2
2
4
6
8
10
12
-12
-10
-8
-6
-4
-2
2
4
6
8
10
12
x
y
A coordinate system has a horizontal x-axis labeled from negative 12 to 12 in increments of 1 and a vertical y-axis labeled from negative 12 to 12 in increments of 1. From left to right, a curve starts at a closed dot at (negative 5, negative 7), rises at a decreasing rate, flattens out to pass through (negative 2, 2), and rises at an increasing rate until it ends at a closed dot at (2, 10). The curve also passes through the points left parenthesis negative 4 comma negative 2 right parenthesis and left parenthesis negative 3 comma 1 right parenthesis.
Answer:
Step-by-step explanation:
Part one is when you need to do area/perimiter.
DO
Anna bought $4000of company stock, she sold 75% if it when the value doubled and the remainder at four times the purchase price, what is here total profit
Anna's total profit was $6000 + $16000 - $4000 = $14000.
How did Anna earn profit
Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.
Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.
Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.
Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.
what translation was the similarity moved through ?
What is the surface area of the rectangle pyramid below 13 13 13
Answer:
Step-by-step explanation:
Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:
First, we need to calculate the area of the rectangular base, which is simply length x width:
Area of rectangular base = 13 x 13 = 169 square units
Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.
To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:
a² + b² = c²
where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.
13² + 13² = c²
338 = c²
c ≈ 18.38
Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:
Area of isosceles triangle = (1/2) x base x height
Area of isosceles triangle = (1/2) x 13 x 18.38
Area of isosceles triangle ≈ 119.14 square units
To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:
Area of right triangle = (1/2) x base x height
Area of right triangle = (1/2) x 13 x 18.38
Area of right triangle ≈ 119.14 square units
Since there are two of each type of triangular face, the total surface area of the pyramid is:
Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle
Surface area = 169 + 2 x 119.14 + 2 x 119.14
Surface area = 546.28 square units
Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.
What is the standard form of the following equation?
y= -3x+2
3x+y=2
y-2=-3x
y-3x=2
3x-y=2
Answer:
(a) 3x +y = 2
Step-by-step explanation:
You want the equation y = -3x +2 written in standard form.
Standard formThe standard form of a linear equation is ...
ax +by = c
where a, b, c are mutually prime integers with a ≥ 0. If a=0, then b > 0.
To put the given equation into that form, we can add 3x to both sides:
3x +y = 3x -3x +2
3x +y = 2
Given g(x) = -1, if g(x) = -16, find x.
The value of x is -15
What are functions?Functions are simply defined as expressions or rules showing the relationship between two variables.
These variables are listed as;
The independent variableThe dependent variableFrom the information given, we have that;
g(x) =x -1, if g(x) = -16
Now, we have to equate the two functions, we get;
x - 1 = -16
collect the like terms, we get;
x =-16 + 1
add the values, we have;
x = -15
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The complete question:
Given g(x) =x -1, if g(x) = -16, find x.
Help I’m giving all my points for this question and brain will be given
Answer:
55,000
Step-by-step explanation:
Look at 40 on the x-axis and the y-axis. The line is inbetween 50 and 60 so the best answer would be 55,000
[3r-15] if r is less than 5
When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.
Given that r is less than 5, let's substitute r = 4 into the expression:
[3(4) - 15]
= [12 - 15]
= -3
Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.
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In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of thirteen candidates for six local teaching positions consisted of seven who had enrolled in paid internships and six who enrolled in traditional student teaching programs. All thirteen candidates appear to be equally qualified, so six are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired.
Find the probability that two or more internship trained candidates are hired.
Answer:
0.9225 = 92.25% probability that two or more internship trained candidates are hired.
Step-by-step explanation:
Candidates are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Group of 13 individuals:
This means that \(N = 13\)
6 candidates are selected:
This means that \(n = 6\)
6 in trained internships:
This means that \(k = 6\)
Find the probability that two or more internship trained candidates are hired.
This is:
\(P(X \geq 2) = 1 - P(X < 2)\)
In which
\(P(X < 2) = P(X = 0) + P(X = 1)\)
So
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 0) = h(0,13,6,6) = \frac{C_{6,0}*C_{7,6}}{C_{13,6}} = 0.0041\)
\(P(X = 1) = h(1,13,6,6) = \frac{C_{6,1}*C_{7,5}}{C_{13,6}} = 0.0734\)
\(P(X < 2) = P(X = 0) + P(X = 1) = 0.0041 + 0.0734 = 0.0775\)
\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0775 = 0.9225\)
0.9225 = 92.25% probability that two or more internship trained candidates are hired.
Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere
x^2+y^2+z^2=125
The parametrization shown below,
\(x(t),y(t),z(t)=10cost,5,10sint\)
Given equation of sphere,
\(x^{2} +y^{2} +z^{2} =125\)
Substitute y = 5 in above relation.
\(x^{2} +z^{2}=125-25=100\\ \\x^{2} +z^{2}=10^{2}\)
For parametrization,
Substitute \(x=rcos(t),z=rsin(t)\) and \(r=10\)
So that, \(x(t),y(t),z(t)=10cost,5,10sint\)
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Which problem is best modeled by the equation One-half divided by 8 = n ?
Answer:
i think it is n= 0.0625
Step-by-step explanation:
you just need to devide and the answer is n
CAN SOMEONE HELP. i will give 150 points if some one can explain and solve you have to find the missing angle measures.
Answer:
\angle ACB=40^{\circ}, \angle ABC=63^{\circ}
Step-by-step explanation:
Finding x:
We know that \(\angle DAB=180^{\circ}\), because it's a straight line. So, \(\angle CAB=180^{\circ}-103^{\circ}=77^{\circ}\).
We know that the sum of the angles of any triangle will be \(180^{\circ}\).
So, we have that \((3x-14)+(3x+9)+77=180\).
Combining like terms on the left gives \(6x+72=180\).
Subtracting \(72\) from both sides gives \(6x=108\).
Dividing both sides by \(6\) gives \(x=18\).
Finding missing angle measures:
\(\angle ACB=3x-14=3(18)-14=54-14=40\).
\(\angle ABC=3x+9=3(18)+9=54+9=63\).
So, \(\angle ACB=40^{\circ}\) and \(\angle ABC=63^{\circ}\) and we're done!
Note: \(\angle ACB+\angle ABC=\angle CAD\). Coincidence? If not, try and prove it!
Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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A football team loses 2 yards every 5 minutes. How many yards did the team lose after 15 minutes?
321
The measurement of a rectangular vessel
is 40cm x 30cmx socm. How many litres
of oil can be put inside it to fill it
completely? (100cm3_flitre) tell in easy way
Answer: 60 L
Step-by-step explanation:
Given
The measurement of a rectangular vessel is \(40\ cm\times 30\ cm\times 50\ cm\)
If we multiply the given terms then it will give the volume of the rectangular vessel in \(cm^3\).
So, the volume of the rectangular vessel is
\(\Rightarrow V=60,000\ cm^3\)
Also, we know \(1000\ cm^3=1\ L\) i.e. to convert \(cm^3\) to L, divide the result by 1000.
\(\Rightarrow V=60,000\ cm^3=60\ L\)
Bill drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Bill
drove home, there was no traffic and the trip only took 5 hours. If his average rate was 18 miles per hour faster on the
trip home, how far away does Bill live from the mountains?
Do not do any rounding.
Answer: 315 miles
Step-by-step explanation:
let onward speed = x mph, then distance = 7x
return speed = (x+18) mph, (same) distance = 5(x+18)
equating the two,
7x = 5(x+18)
2x = 90 ==> x = 45 mph
so distance = 7*45 = 315 miles
what are three ratios that are equivalent to 12:18
Answer:
6:9, 4:6, 24:36
Step-by-step explanation:
To get these, you can divide both numbers by the same number or multiply