Answer:
B
Step-by-step explanation:
B has a slope of 7 while A has a slope of 6.
slope of B 14-7/2-1 = 7
A slope is y= mx+b and m is the slope. so 6.
The price of a technology stock has dropped to $9.63 today. Yesterday's price was $9.74. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
I belive the answer is 10
Step-by-step explanation:
$9.74
$9.63
_____
$0.11 rounded to the nearest thenth of a percent is 10
Answer:= ( -$0.09 / $9.63 )*100%
≅ -0.9 % (note: -0.9% means 0.9% decrease)
Step-by-step explanation:
the lengths of songs on the radio are normally distributed with a mean length of 210 seconds. if 38.2% of all songs have lengths between 194 and 226 seconds, then the standard deviation of this distribution is
Answer:
Step-by-step explanation:
Rewrite the statements in if-then form.
Exercise
Catching the 8:05 bus is a sufficient condition for my being on time for work.
Rewrite the statements in if-then form: If I catch the 8:05 bus, then I will be on time for work.
To write this statement in if-then form, we start with the "if" part of the statement, which is the condition that needs to be satisfied for the conclusion to follow. In this case, the condition is "catching the 8:05 bus". The "then" part of the statement is the conclusion that follows if the condition is satisfied, which is "being on time for work".
Therefore, the statement "Catching the 8:05 bus is a sufficient condition for my being on time for work" can be written as "If I catch the 8:05 bus, then I will be on time for work" in if-then form. This form of expressing the statement makes it clear what the condition and conclusion are and how they are related to each other.
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Find the specified value for each infinite geometric series.
a. a₁ =12, S=96 ; find r
The first term (a₁ = 12) and the sum (S = 96) of an infinite geometric series, the common ratio (r) is found to be 7/8.
To find the common ratio (r) of an infinite geometric series, given the first term (a₁) and the sum (S), we can use the formula:
S = a₁ / (1 - r)
In this case, we have a₁ = 12 and S = 96. Substituting these values into the formula, we can solve for r:
96 = 12 / (1 - r)
Multiplying both sides by (1 - r):
96(1 - r) = 12
Expanding the left side:
96 - 96r = 12
Rearranging the equation:
96r = 96 - 12
96r = 84
Dividing both sides by 96:
r = 84 / 96
Simplifying:
r = 7/8
Therefore, the common ratio (r) for the given infinite geometric series is 7/8.
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each of two persons tosses three gair coincs. what is the probability that they obtain the same numbre of heads
The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.
1/8
The probability of getting a head or a tail when flipping a coin is 1/2.
Therefore, the probability of getting two heads when tossing two coins is 1/2 x 1/2 = 1/4.
The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.
Since each person is tossing three coins, the probability that they both obtain the same number of heads is 1/8.
The probability of getting n heads when tossing n coins is 1/2^n. Therefore, the probability of getting the same number of heads when two people toss n coins is 1/2^n. This means that if two people each toss a coin, the probability that they both get heads is 1/4; if they each toss two coins, the probability that they both get two heads is 1/16; if they each toss three coins, the probability that they both get three heads is 1/64; and so on.
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A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, f(x) has the entries, 3, 3, 3, 3, 3, 3. A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, g(x) has the entries, 4, 3, 2, 1, 0, negative 1. The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true? x =
The input value for which f(x) = g(x) is true is -1
The formula for calculating the equation of a line is expressed as:
\(y=mx+b\)
m is the slope
b is the y-intercept
For table 1,
Get the slope:
\(Slope=\frac{3-3}{3-2}\\Slope =\frac{0}{1} \\Slope =0\)
Use the coordinate (-2, 3) and m = 0 to get the value of "b"
\(y=mx+b\\3 = 0(-2) + b\\b = 3\)
The required function for table 1 is f(x) = 3
For table 2:
Get the slope:
\(Slope=\frac{0-1}{3-2}\\Slope =\frac{-1}{1} \\Slope =-1\)
Use the coordinate (-2, 4) and m = -1 to get the value of "b"
\(y=mx+b\\4 = -1(-2) + b\\b = 4-2\\b=2\)
The required function for table 2 is g(x) = -x + 2
If the function f(x) = g(x), hence:
-x + 2 = 3
-x = 3 - 2
-x = 1
x = -1
Hence the input value for which f(x) = g(x) is true is -1
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Answer: -1
Step-by-step explanation:
A private jet flies the same distance in 7 hours that a commercial jet flies in 5 hours. If the speed of the commercial jet was 99 mph less than 2 times the speed of the
private jet, find the speed of each jet.
Answer
Answer:
Private jet - 165 mphCommercial jet - 231 mphStep-by-step explanation:
Let the speed of the private jet is p and commercial jet is c.
Set equations7p = 5cc = 2p - 99Solve by substitution7p = 5(2p - 99)7p = 10p - 49510p - 7p = 4953p = 495p = 495/3p = 165Find c:
c = 2*165 - 99 = 330 - 99 = 231108k^3 simplify square root
Answer:
6√3
Step-by-step explanation:
√108= √(36×3)
√36×√6= 6×√3
=6√3
A plumbing contractor obtains 60% of her boiler circulators from Company 1 whose defect rate is 0.005 and the rest from Company 2 whose defect rate is 0.01. If a circulator is defective, what is the probability that it came from the first company? Fill in the contingency table below in order to find the answer. Write your answer as a decimal using 4 significant digits, like for example 0.0247. Defective Non-Defective Total 600 Company 1 Company 2 Total 400 1000
The probability that it came from the first company is 1/2.88⁹.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Given, A plumbing contractor obtains 60% of her boiler circulators from Company 1 whose defect rate is 0.005 so 40% of her boiler circulators from Company 2 whose defect rate is 0.01.
Now, The probability of the defect rate of company 1 is P(D1) = 0.005/60.
And, The probability of the defect rate of company 1 is P(D1) = 0.01/40.
Therefore, The probability of that it came from the first company is,
= (0.005/60)×( 0.01/40)/60.
= (1/12000)×(1/4000)/50.
= 1/2.88⁹
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3
Period
Date
5. If a teacher were to distribute sheets of
paper so that each student got two
sheets, there would be 8 sheets
remaining. However, if three sheets
were given to each student, the teacher
would be 11 sheets short. Which
equation could be used to find how
many students are in the class?
If teacher is distributing sheets in a class, then the equation which is used to find number of students in class is (d) 2x+8 = 3x - 11.
A "Linear-Equation" is a mathematical equation that represents a straight line in a coordinate plane. It is of form : y = mx + b
where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the point at which the line crosses the y-axis).
Let number of students in class be denotes as "x",
If each student get 2 sheets, then 8 sheets are remaining, it is mathematically represented as : 2x + 8 ,
If each student get 3 sheets each, then there would be 11 sheets less, and this is represented as : 3x - 11,
So, the equation which is used to find number of students in class is 2x+8=3x-11,
Therefore, the correct option is (d).
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The given question is incomplete, the complete question is
If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?
(a) 2(x - 8) = 3(x + 11)
(b) 2(x + 8) = 3(x - 11)
(c) 2x-8 = 3x + 11
(d) 2x+8 = 3x - 11
A tennis ball has a mass of 0.06 kg and a basketball has a mass of 0.6 kg. How is the mass of the basketball-related to the mass of the tennis ball? Write a sentence or equation to show your answer.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
0.06 x 10 = 0.6
Mass of the tennis ball x 10 = Mass of the basketball.
This means,
The mass of the basketball is ten times the mass of the tennis ball.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Mass of the tennis ball = 0.06 kg
Mass of the basketball = 0.6 kg
We can write as,
0.06 x 10 = 0.6
Mass of the tennis ball x 10 = Mass of the basketball.
This means,
The mass of the basketball is ten times the mass of the tennis ball.
Thus,
Mass of the tennis ball x 10 = Mass of the basketball.
The mass of the basketball is ten times the mass of the tennis ball.
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Mr.semmler drove 110 miles in 2 hours. At this rate, how many miles will he drive in 6 hours?
Answer:
330 miles
Step-by-step explanation:
If in 2 hours he drove 110 and you need to know how much miles will he have drove in 6, first you need to know if 2 is a multiple of 6, in this case it is so now you just divide 6/2 which is 3 so you multiply 110X3 wich gives you 330
what percentage of 7 1/2cm is 2 1/2cm?
Answer:
To find the percentage of 2 1/2 cm in 7 1/2 cm, we need to divide 2 1/2 by 7 1/2 and then multiply the result by 100 to get the percentage.
First, let's convert the mixed fractions into improper fractions:
7 1/2 = (7 x 2 + 1)/2 = 15/2
2 1/2 = (2 x 2 + 1)/2 = 5/2
Now, we can divide 5/2 by 15/2:
(5/2) ÷ (15/2) = 5/2 x 2/15 = 1/3
So, 2 1/2 cm is 1/3 of 7 1/2 cm.
To convert this fraction to a percentage, we need to multiply by 100:
1/3 x 100 = 33.33%
Therefore, 2 1/2 cm is 33.33% of 7 1/2 cm.
what is the equation ? 8-6|a+7|=-28
Answer:
Hopefully correct:-
Step-by-step explanation:
8-6(a+7)=-28
2(a+7)=-28
(a+7)=-28-2
(a+7)=-30
a=-30-7
a=-37
What is 51⁄6 as an improper fraction? For Seneca Learning:
Answer:
Step-by-step explanation:
\(5\frac{1}{6}=\frac{(5*6)+1}{6}=\frac{31}{6}\)
Answer:
31/6 (improper fraction).
Step-by-step explanation:
5 1/6 = (6 × 5) + 1/6 = 31/6
31/6 is the improper fraction.
The scatter plot below shows nine points from a data set. 12.0 10.8 9.6 8.4 7.2 6.0 4.8 3.6 2.4 1.2 ● 0 1 2 3 4 5 6 7 8 9 10
A 4,4,5,5,6,6
b 4,10,4,11,4,12
C8,9,8,10,8,11
D10,10,10,11,10,12
Answer:
Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.
Step-by-step explanation:
The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.
Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.
Now let's examine the given answer choices:
A. .4,4,5,5,6,6
B. .4,10,4,11,4,12
C. 8,9,8,10,8,11
D. 10,10,10,11,10,12
Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.
Therefore, based on the given scatter plot, the set of numbers that matches the points is C.
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Consider the line y=7x-8.
Find the equation of the line that is parallel to this line and passes through the point (-5, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-5, 5).
Answer:
you can just use formula for perpendicular in the second question
m1 . m2 = -1
Write each fraction or mixed number as a decimal.
77/200
Denominator has to end in 10,100 or 1,000
The fraction 77/200 in decimal form is 0.385.
This fraction 77/200 can not be expressed in mixed fraction.
What is defined as the decimal form?Decimals are among the types of numbers in Algebra that have a whole number and a fractional part separated by such a decimal point. The decimal point is the dot that appears between the complete number and the fractions part. 34.5, for example, is a decimal number.The given is; 77/200
Divide 77 by 200 give 0.385,
Thus, decimal form of 77/200 is 0.385.
What is defined as the mixed fraction?A mixed fraction is one that is represented by its quotient and remainder. 2 1/3, for example, is a mixed fraction in which 2 is the quotient and 1 is the remainder. A mixed fraction is thus the product of a whole number and just a proper fraction.For the given fraction;
The given fraction's numerator 77 is less than the denominator 200.
Thus, the number 77/200 can not be represented in mixed fraction.
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Which of the following represent the distance formula? Select all that apply.
A. d=(x1−x2)2+(y1−y2)2−−−−−−−−−−−−−−−−−−−−−−−−−√
B. d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−−−−−−−−√
C. d=(x2+x1)2+(y2+y1)2−−−−−−−−−−−−−−−−−−−−−−−−−√
D. d=|x2−x1|2+|y2−y1|2−−−−−−−−−−−−−−−−−−−−−−−√
The distance formular is represented as :
d = √(x2 - x1)² + (y2 - y1)²
Let d = distance
The vertical and horizontal coordinates as x and y respectively ;
The square root of the sum of square of the difference between the x and y coordinates ;
Distance = √(x2 - x1)² + (y2 - y1)²
Hence, d = √(x2 - x1)² + (y2 - y1)²
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a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why
Answer:
As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.
Step-by-step explanation:
Given that
Volume of cube = V = 2197 cubic feet
Side of cube = a =?
Height of ware house = h = 14 feet
In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h
In order to check this we have to find the side/height of crate
So,
\(V = a^3\\2197 = a^3\)
Taking cube root on both sides
\(\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet\)
So the height of cube is 13 feet.
Comparing the height of c and height of ware house we can conclude that
Height of Warehouse > Height of crate
h>a
14>13
As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.
Your sister is getting married this summer and she asked you to help her select a D.J. for the big event. You called around and found that Dave the D.J. charges a $150.00 set-up fee, plus $10.50 per hour. You discover Marvin’s Mobile Music Machine has a $135.00 set-up fee, plus $15.00 per hour.
Which D.J. will you recommend to your sister? Be sure to clearly support your recommendation mathematically.
Find the perimeter of the rectangle.
A 10.5 m
B 17 m
C 21 m
D 34 m
The following dot plot represents a random sample of elementary students and the number of children that live in their home.
Part 1: What is the range of the data set?
Part 2: What is the interquartile range of the data set?
Part 3: What is the mean absolute deviation of the data set? [Round both the mean and the mean absolute deviation to the nearest tenth.]
Answer:
Part 1 is 5
Part 2 is 1
Part 3 is 4.8
Step-by-step explanation:
It is right indeed.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola
Answer:
The vertex of the parabola is (5, -4).
Hope this helps!
The t-statistic or t-ratio is used to test the statistical significance overall regression model used to test the statistical significance of each β i used to test to see if an additional variable which has not been observed should be included in the regression model is close to zero when the regression model is statistically significant none of the above
The correct statement is:
The t-statistic or t-ratio is used to test the statistical significance of each β_i in a regression model.
The t-statistic is calculated by dividing the difference between the sample mean and the hypothesized population mean by the standard error of the sample mean.
The formula for the t-statistic is as follows:
t = (sample mean - hypothesized population mean) / (standard error of the sample mean)
The t-statistic or t-ratio is used to test the statistical significance of each β_i (regression coefficient) in a regression model. It measures the ratio of the estimated coefficient to its standard error and is used to determine if the coefficient is significantly different from zero.
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the city council has 6 men and 3 women. if we randomly choose two of them to co-chair a committee, what is the probability these chairpersons are the same gender? select the correct fractional response. hint: consider there is no replacement of an individual who is already selected.
The probability that the two chairpersons chosen are of the same gender is 9/36.
Probability is a branch of mathematics that deals with the study of random events and their outcomes. It involves quantifying the likelihood of an event or outcome by assigning a numerical value between 0 and 1.
A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain.
Probabilities between 0 and 1 indicate the likelihood of the event occurring, with higher probabilities indicating a greater likelihood.
This can be calculated by looking at the number of possibilities when selecting two members from a group of nine (6 men, 3 women):
Total possibilities = 9C2 = 9!/(2!*7!) = 9*8/2 = 36
Ways of selecting two of the same gender = 6C2 + 3C2 = 6*5/2 + 3*2/2 = 15
Therefore, the probability of selecting two of the same gender is 15/36, which reduces to 9/36.
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what is the slope for (−3,1) and (4,−2)?
Answer:
\(\frac{-3}{7}\)
Step-by-step explanation:
Formula= (y2-y1)/(x2-x1)
(-3,1)/(4,-2)
-2-1=-3
4--3=7
-3
Answer= ---
7
Answer:
the slope is -3/7
Step-by-step explanation:
-2 minus 1 (basically adding negatives)= -3
4- (-3) (Adding positives together) =7
The Fast Repair Shop charges a $25 fee plus $30 an hour for labor. Write the equation for the cost of the repair job, y, if the repair job took x hours.
Answer:
y=30x+25
Step-by-step explanation:
y=mx+b (slope-intercept formula)
y= amount of money per hour of labor
m= 30 (amount per hour, slope)
b= 25 (y-intercept, starting rate)
Diameter of circle o
Answer:
The diameter of a circle is "2 x radius".
Which rectangular prism has a surface area of 62 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.
A rectangular prism with a length of 2, width of 2, and height of 6.
A rectangular prism with a length of 5, width of 3, and height of 2.
A rectangular prism with a length of 6, width of 2, and height of 4.
Answer:
The answer is C
Step-by-step explanation: