Answer:
Answer:
xz=cb = 45/60 = .75
zy=ab = 30/40 = .75
xy=ac = 37.5/50 = .75
Step-by-step explanation:
Step-by-step explanation:
all lines when put into ratio format show .75 scale factor big to little triangle side lengths.
research suggests that people who work in business and professional settings spend 26% of their time speaking, compared to 23% writing, and 19% reading. what percentage do those same people spend listening?
32% of the same people spend their time listening.
The total number of mentioned people will be 100% or 1. Now, in the total people, the remaining ones who are not stated in the question, must be the listeners. Thus, calculating the remaining percentage of people, we will get the percentage of listeners in same people.
So, number of people who spend time speaking = 26%
Number of people who spend time speaking = \(\frac{26}{100}\)
Number of people who spend time speaking = 0.26
Number of people who spend time writing = 23%
Number of people who spend time writing = \(\frac{23}{100}\)
Number of people who spend time writing = 0.23
Number of people who spend time reading = 19%
Number of people who spend time reading = \(\frac{19}{100}\)
Number of people who spend time reading = 0.19
Total number of people involved in activities other than listening = 0.26 + 0.23 + 0.19
Total number of people involved in activities other than listening = 0.68
People who spend time listening = 1 - 0.68
People who spend time listening = 0.32
Percentage of people who spend time listening = 0.32 × 100
Percentage of people who spend time listening = 32%
Hence, 32% of the same people spend their time listening.
Learn more about percentage calculation -
https://brainly.com/question/24877689
#SPJ4
select the slope of the line that joins the pair of points. a. (9, 10) and (7, 2) 1 of 5. 4 b. (-8, -11) and (-1, -5) 2 of 5. select choice c. (5, -6) and (2, 3) 3 of 5. select choice d. (6, 3) and (5, -1) 4 of 5. select choice e. (4, 7) and (6, 2) 5 of 5. select choice
The required slopes are:
(a) slope = 4
(b) slope = 6/7
(c) slope = -3
(d) slope = 4
(e) slope = -5/2
We know that,
When a line passing through (x₁, y₁) and (x₂, y₂)
Then the slope of the line be,
slope (m) = (y₂ - y₁) / (x₂ - x₁)
Using this formula, calculate the slope for each given points
a. (9, 10) and (7, 2)
⇒ slope (m) = (2 - 10) / (7 - 9)
= -8/-2 = 4
So, the slope is 4.
b. (-8, -11) and (-1, -5)
⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))
= 6/7
So, the slope is 6/7.
c. (5, -6) and (2, 3)
⇒ slope (m) = (3 - (-6)) / (2 - 5)
= 9/-3
= -3
So, the slope is -3.
d. (6, 3) and (5, -1)
⇒ slope (m) = (-1 - 3) / (5 - 6)
= -4/-1
= 4
So, the slope is 4.
e. (4, 7) and (6, 2)
⇒ slope (m) = (2 - 7) / (6 - 4)
= -5/2
So, the slope is -5/2.
Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ4
The length of a rectangle is equal to triple the width. what is its width and length if its perimeter is 88 centimeters.
Answer:
56fifjjfiggitrireieisixii3eiirr
Answer:
Length = 33 cm
width = 11 cm
Step-by-step explanation:
a = 3w ⇒ eq. 1
88 = 2(a+w) ⇒ eq. 2
a = length
w = width
then:
replacing the value of the eq. 1 on the eq. 2
88 = 2(3w + w)
88/2 = 4w
44 = 4w
w = 44/4
w = 11 cm
from the eq. 1
a = 3w
a = 3*11
a = 33cm
Check:
perimeter = 88 = 2(a+w)
88 = 2(33+11)
88 = 2*44
roxanne bought 7 packs of bottled water and 9 boxes of soda. there were 10 bottles of water in each pack and 6 cans of soda in each box. how many drinks did roxanne buy in all? drinks
The total number of drinks Roxanne buy is 124
Roxanne bought 7 packs of bottled water and 9 boxes of soda. There were 10 bottles of water in each pack and 6 cans of soda in each box.
Roxanne bought 7 pack of bottled water.
1 pack of water bottle contains 10 bottles of water,
Hence 7 pack of water bottle contains. \($7 \times 10=70$\) water bottles
Roxanne bought 9 boxes of soda, 1 box of soda contain 6 cans of soda, then 9 boxes of soda contains. \($x=$\) cans of soda,
Then the total number of drinks Roxanne buy\($=70=1$\)
The total number of bottles calculate by the Multiplication of number of packet of bottles and per packet bottles.
Therefore, the total number of drinks Roxanne buy = 124
For more such questions on Word multiplication:
https://brainly.com/question/4686237
#SPJ4
Find the values of x and y. Show all your work.
I hope it helps you.
Keep learning
The following question has two parts. First, answer part A. Then, answer part B.
Use the model to answer the questions.
A rectangle is divided into two sections by a vertical line. The left section is labeled inside with 260. The right section is labeled inside with B. The left edge of the rectangle is labeled 13. Across the top outside of the rectangle, the sections are labeled A tens, a plus sign above the vertical line, and C.
Part A
Carter wants to use the model above to solve 273÷13. Explain how he would find parts A, B, and C of the model.
Part B
The final quotient for 273÷13 is
The knowledge of place value helped in solving 273÷13 with a rectangular model developed by Carter
The part labelled A is 26 tens
The part labelled B is 13 units
The part labelled C is 13 ones
How to determine parts A, B, and C using rectangular model developed by Carterinformation given in the question
A rectangle is divided into two sections by a vertical line
The left section is labeled inside with 260
The left edge of the rectangle is labeled 13
other information is in the attached diagram
How to used the model
Carter's model is a rectangle of length 273 and breadth 13.
273 / 13 = 21
This means that dividing the length into 13 places each unit is 13
273 - 13 = 260
hence the 260 represents 20 units, since one unit is subtracted
The knowledge of place value help to get the numbers to be arranged in tens and ones
putting the numbers in tens is done by dividing by 10
= 260 / 10
= 26
hence, A in tens is equivalent to 26
putting the numbers in ones is dine by dividing by 1
C = 13 / 1
C = 13 ones
a unit is 13, B = 13
B covers same space as C so they are equal
Learn more about using rectangular models :
https://brainly.com/question/27271326
#SPJ1
what is the domain of the function -1,2, 3,6, 5,8
Answer: The domain of the function is -1,3, and 5.
Step-by-step explanation:
How did I get this answer? well, the word domain means the value of all x values and the word Range means that it is the value of all y values. In this problem it is asking : What the domain is, so that means we have to figure out what the x values are not the y's. so the x values would be -1, 3 and 5.
subset the data set to include only x2, x3, and x4. how many missing values are there in these three variables?
The subset of the data set with x2, x3, and x4 would include 6 missing values.
The subset of the data set with x2, x3, and x4 would include 6 missing values.
1. Subset the data set to include only x2, x3, and x4.
2. Count the number of missing values in each variable.
3. Add the number of missing values for each variable together.
4. The total number of missing values in these three variables is 6.
The subset of the data set with x2, x3, and x4 would include 6 missing values.
Subset the data set to include only x2, x3, and x4.
The complete question is :
Subset the data set to include only x2, x3, and x4. How many missing values are there in these three variables?
Learn more about data here
https://brainly.com/question/14893265
#SPJ4
suppose that we flip a fair coin until either it comes up tails twice or it is flipped it six times. what is the expected number of times we flip the coin? (enter the value of probability in decimals. round the answer to two decimal places.)
The value of the probability is 3.75.
What is a probability?It is a branch of mathematics. The possibility of the outcome of any random event is termed as probability. The range of the probability must be between o to 1. Here o indicates impossibility of an event and 1 indicates certainty. Probability can be expressed in proportions. Probability deals in finding the occurrence of an event. It is based on the possible chances of something that happen. Probability is of 3 types. They are:
1.Theoretical probability
2.Experimental probability
3.Axiomatic probability
P(N=2)=P(TT)=14
P(N=3)=P(HTT,THT)=28
P(N=4)=P(HHTT;HTHT;THHT)=316
P(N=5)=432
P(N=6)=1−14−28−316−432=316
E(N)=2(14)+3(28)+4(316)+5(432)+6(316)=154=3.75
The value of the probability up to 2 decimal places is 3.75
To know more about probability, visit:
brainly.com/question/11234923
#SPJ4
Determine the mean and standard deviation of the variable X in each of the following binomial distributions. a. n=5 and π=0.10 b. n=3 and π=0.40 c. n=5 and r=0.50 d. n=3 and π=0.80 a. When n=5 and π=0.10, determine the mean. μ= (Type an integer or a decimal. Do not round.)
The mean (μ) for the given binomial distribution is 0.50.
To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:
a. When n = 5 and π = 0.10:
μ = 5 * 0.10
= 0.50
For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.
b. When n = 3 and π = 0.40:
μ = 3 * 0.40
= 1.20
In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.
c. When n = 5 and π = 0.50:
μ = 5 * 0.50
= 2.50
For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.
d. When n = 3 and π = 0.80:
μ = 3 * 0.80
= 2.40
In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.
The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.
Learn more about binomial distribution here:-
https://brainly.com/question/10741251
#SPJ11
If f(x) is an exponential function where f(-1)=26 and f(6.5)=14, then find the value of f(5), to the nearest hundredth.
Given an exponential function f(x) where
f(-1) = 26 and
f(6.5) = 14.
We have to determine the value of f(5), rounded to the nearest hundredth.
An exponential function can be represented as f(x) = ab^x where a and b are constants.
We need to find the values of a and b.
Let's start with f(-1) = 26:
f(-1) = ab^-1
⇒ 26 = a/b. ......(1)
Similarly, f(6.5) = 14:
f(6.5) = ab^6.5
⇒ 14 = ab^6.5 .......(2)
Let's divide equation (2) by equation (1) to find the value of b.
14/26 = (ab^6.5)/(a/b)
⇒ 0.54 = b^6.5
⇒ b = 0.9196
Substitute this value of b in equation (1) to find the value of a:
26 = a/0.9196
⇒ a = 23.90
Therefore, the equation of the exponential function is
f(x) = 23.90 × (0.9196)^x.
To find f(5), substitute x = 5:
f(5) = 23.90 × (0.9196)^5
≈ 15.15
In the given problem, we are given an exponential function, f(x) where
f(-1) = 26 and
f(6.5) = 14
and we are required to find the value of f(5), rounded to the nearest hundredth
Thus, the value of f(5) is approximately equal to 15.15, rounded to the nearest hundredth.
In the given problem, we have successfully found the value of f(5), rounded to the nearest hundredth. We used the formula of the exponential function f(x) = ab^x and solved the equations to find the values of a and b. Finally, we substituted x = 5 in the equation to find the value of f(5).
To know more about exponential function visit:
brainly.com/question/29287497
#SPJ11
a bit is a 0 or a 1. a bit string of length 9 is a sequence of 9 digits, all of which are either 0 and 1. (a) how many bit strings of length 9 or less are there? (b) how many bit strings of length 9 or less are there?
(count the empty string of length zero also.)
A bit is a unit of information in computing that can have two values, typically represented as 0 and 1. A bit string of length 9 is a sequence of 9 digits, each of which is either 0 or 1.
(a) How many bit strings of length 9 or less are there?
To find the number of bit strings of length 9 or less, we can sum the number of bit strings of each length from 0 to 9.
For a bit string of length 0, there is only one possible string - the empty string.
For a bit string of length 1, there are two possible strings - 0 or 1.
For a bit string of length 2, there are four possible strings - 00, 01, 10, or 11.
For a bit string of length 3, there are eight possible strings - 000, 001, 010, 011, 100, 101, 110, or 111.
And so on, up to length 9.
That is:
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256= 511.
There are 511 bit strings of length 9 or less.
(b) How many bit strings of length 9 or less are there, including the empty string of length zero?
To find the number of bit strings of length 9 or less, we can use the same method as above, but exclude the strings of length 10:
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256= 511
There are 511 bit strings of length 9 or less, including empty string.
Learn more about bit strings here:
https://brainly.com/question/30774753
#SPJ11
PLEASE HELP MEEE
find the lateral area of a cone with a radius of 7ft and a slant height of 13ft use 3.14 for and round to the nearest tenth ADD EXPLANATION!!!!
The lateral area of the cone with a radius of 7ft and a slant height of 13ft is 285.7 ft².
What is the lateral area of the cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The lateral area of a cone is expressed as;
A = π × r × l
Where r is radius and l is slant height.
Given the data in the question;
Radius r = 7ftSlant height h = 13ftLateral area A = ?Plug the given values into the above formula and solve for the lateral area of the cone.
A = π × r × l
A = 3.14 × 7ft × 13ft
A = 285.7 ft²
Therefore, the lateral area is 285.7 square feet.
Learn about volume of cones here: brainly.com/question/1984638
#SPJ1
If the perimeter of the window is 8 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted.
The exact value of x that will allow the greatest amount of light to be admitted is 2 feet. This will give us a window with dimensions 2 feet by 2 feet, which has an area of 4 square feet.
Let's assume that the window is a rectangle, which means that opposite sides are equal in length. If the perimeter of the window is 8 feet, that means that the sum of all four sides is 8 feet.
Let's label the length of the two horizontal sides as x, and the length of the two vertical sides as y. That means that:
2x + 2y = 8
Simplifying that equation, we get:
x + y = 4
Now, we want to find the exact value of x that will allow the greatest amount of light to be admitted. We know that the area of a rectangle is length x width, so in this case:
Area = x * y
We want to maximize this area, so we need to express y in terms of x using the equation we derived earlier:
y = 4 - x
Substituting that into the area equation, we get:
Area = x * (4 - x)
Expanding that equation, we get:
Area = 4x - x^2
To maximize this area, we need to find the value of x that will give us the maximum value of Area. We can do this by taking the derivative of the area equation and setting it equal to zero:
d(Area)/dx = 4 - 2x = 0
Solving for x, we get:
x = 2
Substituting this value of x back into the equation for y, we get:
y = 4 - 2 = 2
So the exact value of x that will allow the greatest amount of light to be admitted is 2 feet. This will give us a window with dimensions 2 feet by 2 feet, which has an area of 4 square feet.
Learn more about Maxima and Minima here: brainly.com/question/29562544
#SPJ11
With the full moon at position 3, which two positions experience low tide? 3 and 5 5 and 9 6 and 12 9 and 12
When the full moon is at position 3, positions 9 and 12 experience low tide.
The correct option is 9 and 12.
The positions of the moon and the sun have an impact on the tides of the Earth's oceans.
What is a tide?
Tides are the regular rise and fall of the sea level due to the gravitational influence of the Moon and the Sun on the Earth. The gravitational pull of the Moon on the Earth produces two tidal bulges, one on the side of the Earth facing the Moon and one on the side opposite the Moon. The Moon's gravitational pull causes high tides in the area of the bulge and low tides elsewhere on the Earth. The tides are affected by the location of the Sun and the Moon as they orbit the Earth.
In order to determine which two positions experience low tide, the Moon's position must be considered.
When the Moon is directly overhead or opposite to the Earth, its gravitational pull has the greatest effect, causing the greatest difference between high and low tides, also known as spring tides.
When the Moon is at a 90-degree angle to the Earth, its gravitational pull is less, causing a smaller difference between high and low tides, also known as neap tides.
In the given case, when the full moon is at position 3, positions 9 and 12 experience low tide.
Thus, the correct option is 9 and 12.
To know more about positions refer here:
https://brainly.com/question/2593598
#SPJ11
In the figure, C ll D. What are the measures of 1 and 2? Enter your answer in the boxes.
The measure of the angles are as follows:
∠1 = 105°
∠2 = 75°
How to find the angles when a transversal cut parallel lines?when a transversal line cut across parallel lines, angle relationships are formed. Examples are corresponding angles, alternate angles etc.
Therefore,
∠2 ≅ 75 degrees(corresponding angles)
Hence,
∠1 = 180 - ∠2 (angles on a straight line is 180 degrees)
∠1 = 180 - 75
∠1 = 105 degrees
learn more on angles here: https://brainly.com/question/3727301
#SPJ1
What does this equal?
FInd the measure of the exterior angle of a triangle if the remote interior angles are 75 degrees and 42 degrees?
Answer:
117°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 remote interior angles , then
exterior angle = 75° + 42° = 117°
Find the range for the possible measure of the third side of a triangle given two sides?
4 cm, 6 cm
Range:
Answer:
The possible range of the measure of the third side is 2 < 3rd side < 10
Step-by-step explanation:
In any triangle:
The sum of the lengths of any two sides must be greater than the length of the 3rd sideThe length of any side must greater than the difference of the lengths of the other two sidesThe difference of the other sides < The side < The sum of the other sidesLet us solve the question
∵ The measures of the two sides of a triangle are 4 cm and 6 cm
∵ The difference between their measures = 6 - 4 = 2 cm
∵ The sum of their measures = 6 + 4 = 10 cm
→ By using the rules above
∴ The measure of the third side is between 2 and 10
∴ 2 < the third side < 10
∴ The possible range of the measure of the third side is 2 < 3rd side < 10
Can you help me solve these?
Answer:
a) 224 oz
b) 96 oz
Step-by-step explanation:
first you multiply 7 by 32 to get 224oz
then you subtract 4 from 7 which is 3 and thats how many she has left but the question is asking for the weight of this so you multiply 3 by 32 and the answer is 96oz
Can someone please help? I'm stuck
Answer:
sure .... ok since the store just bought 14 sweaters for 154$. that is 11$ for each sweater. but the store sells it for 448$ all 14 of them.. so the question is how much profit does the store make PER sweater. well... it makes about 32$ per sweater. since i just had to divide 448 /14
hope this helps!!! have a great day!!
Please help! Find the length of each arc. Do not round. Put answers in terms of pi.
Answer:
14π cm---------------------
Use the formula:
s = (θ/360) × 2πr,where θ is the central angle in degrees, r is the radius
We have:
θ = 315 and r = 8.Substituting the given values, we get:
s = (315/360) × 2π(8)s = (7/8) × 2π(8) s = 14πTherefore, the length of the arc is 14π cm.
Function or not function please help I will give brainless
Answer:
It is a not a Function.
Because one number has two arrows pointing to two different numbers.
Answer:
No
Step-by-step explanation:
(the image is fuzzy so you can't really see the lines)
It seems that when x = 1, f(x) is both 4 and 5.
While two different x values can equal the same y value, one single x value cannot be equal to more than one value.
If this was a function that could be graph, there would be an extra dot at (1, 4) or (1, 5) since 1 is equal 4 or 5. This is why it is not a function.
The upper class is composed primarily of CEOs, government officials, celebrities, and very successful professionals. Approximately what percentage of the population does this represent
The upper class represents approximately 1-2% of the population. The upper class is composed primarily of CEOs, government officials, celebrities, and very successful professionals.
This class is the smallest among the five social classes, comprising only a tiny percentage of the population (1-2 percent).Individuals in the upper class are often referred to as the "social elite," as they are frequently born into money, live in luxurious estates, and are members of exclusive clubs. Upper-class individuals usually have excellent education and a variety of skills that have helped them accumulate wealth and power. Therefore, the upper class represents approximately 1-2% of the population.
Know more about social elite here:
https://brainly.com/question/29038983
#SPJ11
PLS HELP.... If 4x^2 + bx + 9 = 0, where b is the constant, has exactly one solution, what is a possible value of b ?
A. 72
B. 36
C. 12
D. 6
-x-y=11
convert from standard form to slope intercept form
Answer:
y = - x - 11
Step-by-step explanation:
-x-y=11
+x +x
-y=11+x
/- /-
y=-11-x
rearrange
y = - x - 11
Answer:
y =-x-11Step-by-step explanation:
Slope intercept form : y=mx+b
\(-x-y=11\\\\-y =x +11\)
Multiply by -1(reverse the inequality)
\(-1(-y=x+11)\\\\y =-x-11\)
Find the slope of the line through
(-5, 18) and (11, 20)
Answer:
Slope = 1/8
Step-by-step explanation:
(20-18)/11- - 5)
= 2/16
= 1/8
If x is a positive acute angle and cos x = 1/2, what is the value of sin 1/2 x?
A)1
B)2
C) square root 3/ 2
D)1/2
f(x) is a function true or false
Answer:
Depends on the x value
Step-by-step explanation:
f(x) can only be a function if the x values are not repeating.
25 POINTS
Which graph represents the linear equation y equals one half times x minus 2 on the coordinate plane?
graph of a line passing through the points 0 comma negative 2 and 2 comma negative 1
graph of a line passing through the points negative 4 comma 0 and 0 comma 2
graph of a line passing through the points negative 5 comma 0 and 0 comma 1
graph of a line passing through the points 0 comma 1 and negative 4 comma 0
Answer:
Answer A - (0,2), (2,-1)
Step-by-step explanation:
GRAPH FOR EQUATION GRAPHED BELOW
If we look at the graph it goes through points (0,2), (2,-1)