Answer:D
Step-by-step explanation:y-4=3(x-1)
y-4=0 3(x-1)
y=-4 , 3x-3
y=-4=3x-3
3 3
y=-4, = x=1
y-x=1+4=5
the standard deviation of the data summarized in the given frequency distribution. 11) The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency distribution below summarizes the results. Find the standard deviation. Round your answer to one decimal place. Waiting time (minutes) Number of customer 0-3 9 4-7 16 8-11 15 12-15 8 16-19 0 20-23 2 A) 4.8 min B) 7.0 min C
To find the standard deviation of the data summarized in the given frequency distribution, we can perform the following calculations. The table provides the necessary calculations for the standard deviation of the data summarized in the given frequency distribution:
Waiting time (minutes) Number of customer Midpoint (x) of Class Boundary of Class
f(x) 0-39 (0+3)/2=1.5 -0.5, 3.5+1.5 (9) (1.5) (9) = 13.5
4-7 16(4+7)/2=5.5 -3.5, 7.5+3.5 (16) (5.5) (16) = 88.0
8-11 15(8+11)/2=9.5 -7.5, 11.5+7.5 (15) (9.5) (15) = 213.75
12-15 8(12+15)/2=13.5 -11.5, 15.5+11.5 (8) (13.5) (8) = 91.875
16-20 2(16+20)/2=18 -16, 20+16 (2) (18) (2) = 92
Sum 60 (363.2)
Mean = Sum of (f(x)) / Sum of (f) = 363.2 / 60 = 6.0533
The variance, σ², can be calculated using the formula [Sum of (f(x²)) - {Sum of (f(x))² / Sum of (f)}] / (Sum of (f) - 1). Plugging in the values, we get:
σ² = [1103.2 - {363.2² / 60}] / (60 - 1) = 104.36
The standard deviation, σ, can be calculated using the formula √σ². Hence, the standard deviation of the data summarized in the given frequency distribution is approximately 10.2 minutes.
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Solve the equation. 1 2 = 11 2
You have $90,000 for investment. You will invest S dollars in stocks and B dollars in bonds. You expect a 10% return on stocks and a 2% return on bonds. You want a total return of 5% on your investment.(a)The dollar amount of the total return is0.05 ✕ 90,000 = $4500.What is the dollar amount of return for stocks, and what is the dollar amount for bonds? (Suggestion: Your answers will involve the variables S and B.)
The dollar amount for the return on stocks is $3375 and the dollar amount for the return on bonds is $1125.
Two equations can be derived from the question:
s + b = $90,000 equation 1
0.1s + 0.02b = $4500 equation two
$4500 = 0.05 x $90,000
The above equation is a simultaneous equation and it would be solved using the elimination method.
The following steps would be take to determine the value of b
Multiply equation 1 by 0.1
0.1s + 0.1b = 9000 equation 3
Subtract equation 2 from 3
0.08b = $4500
b = $56,250
The following step would be taken to determine the value of s
Substitute for b in equation 1
s + $56,250 = $90,000
$90,000 - $56,250 = s
s = $33,750
Dollar amount for the return on stocks = $33,750 x 0.1 = $3375
Dollar amount for the return on bonds = $56,250 x 0,02 = $1125
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The measure of an angle is 1.6°. What is the measure of its complementary angle?
Step-by-step explanation:
From the image, let Angle 1 be x, and angle 2 be 16°
\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)
3. for questions 3-5, complete the missing values in each table below using the graph
The missing values are derived from the graph as follows:
3 ) 7, 14, 21, 28, 35
4) 3, 7, 10, 14, 17
5) 1, 21, 10, 49, 19
What is a graph?In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.
In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:
F(y) = 3.5x
In the first table, where x = 2
y= 3.5 *2
= 7
This iteration goes on and on and is consistent for all the values.
In the second table,
Where F(y) is known, for example 10.5, then x is derived as:
10.5 = 3.5x (divide both sides by 3.5)
x = 3
This iteration goes on and on and is consistent for all the values.
In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.
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For the function f(x)=x+4, what is the order pair for the point on the graph when x=3p?
Answer: f ( x ) = x + 4
x = 3 p
f ( 3 p ) = 3 p + 4
Answer. D )
The ordered pair is:
( x, y ) = ( 3 p, 3 p + 4 )
PLEASEEEE!!! GIVE ME A BRAINLY!!!!
During an experiment, the temperature of a substance increased at a constant rate of three
degrees Celsius ("C) per hour. Which graph represents this relationship?
Temperature (C)
Temperature (C)
03
23
SUBSTANCE
TEMPERATURE
2
Time (hours)
SUBSTANCE
TEMPERATURE
Time (hours)
Temperature (0)
Temperature (°C)
24
23
.......
SUBSTANCE
TEMPERATURE
1
2
Time (hours)
SUBSTANCE
TEMPERATURE
2
3
Time (hours)
A graph which represents this relationship between the temperature of a substance and time is: graph D.
What is a graph?
In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).
What is temperature?In Science, temperature can be defined as a measure of either the degree of hotness or coldness of a physical body (object).
Since the temperature of a chemical substance increased at a constant rate of three degrees Celsius (3°C) per hour, a graph which represent the relationship that exist between the temperature of a substance and time is shown in the image attached below.
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A company sells three types of gift baskets. The basic basket has two movie passes and one package of microwave popcorn, and costs $15.50. The medium basket has two movie passes, two packages of microwave popcorn, and one DVD, and costs $37. The super basket has four movie passes, three packages of microwave popcorn, and two DVDs, and costs $72.50.
Create a system of equations and solve using matrices to find the price of each basket item.
The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.
Let x represent the cost of each movie, y represent the cost each microwave and z represent the cost of each DVD.
For the basic:
2x + y = 15.50 (1)
For medium:
2x + 2y + z = 37 (2)
For super:
4x + 3y + 2z = 72.50 (3)
\(\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right] \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}15.5&37&72.5\end{array}\right] \\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] =\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right]^{-1}\left[\begin{array}{c}15.5&37&72.5\end{array}\right]\\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}7&1.5&20\end{array}\right] =\)
The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.
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answer the question below
Divide total cost by total cans:
c = 8.96 / 32
c = 0.28 per can
The ratio of boy to girl who play kickball at rece i 6 to 2. There are 18 girl on the team. What i the nu
mber of boy who play kickball at rece?
The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.
The ratio of boy to girl who play kickball at race is 6 to 2
6 boys: 2 girls
Multiply the number of girls by the ratio:
18 girls x (6 boys / 2 girls) = 18 x 3 = 54
Subtract the number of girls from the total to get the number of boys:
54 - 18 = 36
Therefore, there are 12 boys who play kickball at race.
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Diego has 90 songs on his playlist. How many songs are there for each genre?
Answer: Diego's playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.
Based on the number of songs Diego has and the proportion of the genres, Diego's song classification is:
Rock = 36 songsCountry = 9 songsHip Hop = 27 songsElectronica = 18 songsThe number of songs from a particular genre is:
\(= \text{Total number of songs}\times\text{Percentage of genre}\)
Rock:
\(= 40\% \times 90\)
\(\bold{= 36 \ songs}\)
Country:
\(= 10\% \times 90\)
\(\bold{= 9 \ songs}\)
Hip hop:
\(= 30\% \times 90\)
\(\bold{= 27 \ songs}\)
Electronica:
\(= (100\% - 40\% - 10\% - 30\%) \times 90\)
\(\bold{= 18 \ songs}\)
In conclusion, there are various genres on Diego's phone.
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Complete Question:
Diego has 90 songs on his playlist. How many songs are there for hip-hop?
40% rock
10% country
30% hip-hop
The rest is electronica
The sampling distribution of differences between means approximates a normal curve whose _____is zero.
The sampling distribution of difference between means approximates a normal curve whose mean is zero.
The sampling distribution means the probability distribution based on the large number of samples of size n from the given population
Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.
Here they used the normal curve, sot its mean value is zero
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If a study introduces parallel forms of the same measurement instrument to the same person, the researcher is assessing_____
Multiple Choice
O item Interpretability
O item economy
O item equivalence
O item stability
O item convenience
The researcher is assessing item equivalence, If a study is in parallel forms of the measurement instrument to the same person. The correct option is C).
When a study introduces parallel forms, the researcher is assessing item equivalence. Item equivalence refers to the extent to which the different forms of the measurement instrument produce similar results for the same individual.
This assessment is crucial in research because it allows researchers to evaluate the consistency and reliability of the measurement instrument across different versions. By administering parallel forms to the same person, any differences in responses can be attributed to individual factors rather than variations in the instrument.
This helps ensure that the instrument is measuring the intended construct consistently and accurately. The correct option is C).
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Please show work, will give brainlist
Answer:
10x - 28
Step-by-step explanation:
The square root of anything raised to the second power is itself.
g(f(x)) = 5(sq rt 2x - 5)^2 - 3
= 5(2x - 5) - 3
= 10x - 25 - 3
= 10x - 28
Maria drove from Los Angeles (elevation 330ft) to Death Valley (elevation-282ft.What is the difference in elevation between Los Angeles and Death Valley?
The difference in the elevation between Los Angeles and Death Valley is 48 feet.
Given that,
Maria drove from Los Angeles to Death Valley.
Elevation of Los Angeles = 330 feet
Elevation of Death Valley = 282 feet
We have to find the difference in elevation between Los Angeles to Death Valley.
Difference in elevation between Los Angeles to Death Valley is,
Difference = 330 feet - 282 feet
= 48 feet
Hence the difference is 48 feet.
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What is the number 0 gonna be?
12 Step-by-step explanation:cause 6x2 = 12
Answer: change the number 0 to 2. the correct answer is 792 and 780.
Step-by-step explanation:
Q1. Interpreting Direct Proportion
In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the Following:
(2, 9) (5, 22.5) (12, ?) (?, 90) (?, ?)
What is the constant of proportionality k when y=kx: ?
Question 5
This dot plot shows the number of cakes sold each day in Aunt
Alice's Cake Shop last month.
What is the median number of cakes sold each day?
Aunt Alice's Cake Shop
000
0 1 2
3
4
5
6
7
8
9
Cakes Sold (each day)
?
Answer:
9
Step-by-step explanation:
The range of a data set is the difference between the highest and lowest values.
The highest value is 9 and the lowest is 0; this makes the range
9-0 = 9.
Answer:
It's 2 because look at 1 it's the highest and 2 is the second highest which is closer to 1. So it's 2.
Refer to the coordinate grid. find point q on line rs that is 5/8 of the distance from r to s
Point Q on line RS, which is 5/8 of the distance from R to S, is (4.75, 4.5).
To find point Q on line RS that is 5/8 of the distance from R to S, we can use the concept of dividing a line segment into a given ratio.
Here's how we can find point Q:
1. Identify the coordinates of points R and S on the coordinate grid. Let's say the coordinates of point R are (x1, y1) and the coordinates of point S are (x2, y2).
2. Calculate the distance between points R and S using the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
3. Multiply the distance between R and S by 5/8 to find 5/8 of the distance.
Distance_QR = (5/8) * Distance
4. Determine the coordinates of point Q by moving 5/8 of the distance from R to S along the line segment.
To do this, we can use the following formulas:
xQ = x1 + ((x2 - x1) * 5/8)
yQ = y1 + ((y2 - y1) * 5/8)
5. Substitute the values of x1, y1, x2, y2, and Distance into the formulas from step 4 to calculate the coordinates of point Q.
For example, let's say the coordinates of point R are (1, 2) and the coordinates of point S are (7, 6). Here's how we can find point Q:
1. R = (1, 2) and S = (7, 6).
2. Distance = sqrt((7 - 1)^2 + (6 - 2)^2) = sqrt(36 + 16) = sqrt(52).
3. Distance_QR = (5/8) * sqrt(52).
4. xQ = 1 + ((7 - 1) * 5/8) = 1 + (6 * 5/8) = 1 + (30/8) = 1 + 15/4 = 1 + 3.75 = 4.75.
yQ = 2 + ((6 - 2) * 5/8) = 2 + (4 * 5/8) = 2 + (20/8) = 2 + 2.5 = 4.5.
Therefore, point Q on line RS, which is 5/8 of the distance from R to S, is (4.75, 4.5).
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4 km 20) Determine the distance across the lake? 6 km Lake 6
hope this helps you
4. Justin is training for his black belt in Tae Kwon Do, and needs to be able to
complete 100 pushups on his test. He has set up a practice schedule to
build up his strength. When he begins he is able to complete 30 pushups, but
intends to train daily and increase his pushups by 3 each week. How many
full weeks will Justin need to train in order to be ready for his black belt test?
(Only an algebraic solution will receive full credit)
Answer:
24 full weeks needed
Step-by-step explanation:
30 + 3x = 100
3x = 70
x = 23.333
24 weeks needed
To begin answering our original question, test the claim that the proportion of children from the low income group that drew the nickel too large is greater than the proportion of the high income group that drew the nickel too large. Test at the 0.1 significance level.
Recall 24 of 40 children in the low income group drew the nickel too large, and 13 of 35 did in the high income group.
a) If we use LL to denote the low income group and HH to denote the high income group, identify the correct alternative hypothesis.
H1:pL>pHH1:pL>pH
H1:pL
H1:μL<μHH1:μL<μH
H1:pL≠pHH1:pL≠pH
H1:μL≠μHH1:μL≠μH
H1:μL>μHH1:μL>μH
The correct alternative hypothesis is H1: pL> pH.
We test whether the proportion of children in the low-income group who drew the nickel too large is greater than the proportion of children in the high-income group who drew the nickel too large.
Proportion of children in the low-income group (denoted pL) who also drew a nickel. large is greater than the proportion of the high-income group (indicated by pH) that attracted nickel too large, we test at the 0.1 significance level.
a) First, we need to identify the correct alternative hypothesis. The alternative hypothesis in this case should be:
H1: PL > pH
This hypothesis states that the proportion of children in the low-income group who drew oversized nickels would be greater than the proportion of children in the high-incomegroup who drew oversized nickels.
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Hi. Please help I have to pass this I don’t mind marking you brainlest
what is the answer of 3x-5>1/2x+8x?
Answer:
x < -10/11
Step-by-step explanation:
Isaiah is working yo buy a new bicycle. He is wanting a HARO bike because he has dreams of being on the x-games. The bike he has his eye on is $719.99. He has saved his money up and already has $125 to go towards his bike. He is going to mow grass to make his money. He has decided he is going to charge $25 per yard. a.) Write an equation that mimics the given situation b.) How many yards will Isaiah have to mow in order to buy the bike?
dora is traveling to visit diego at an average speed of mi/h. dora realizes that if she drives at an average speed of mi/h, her travel time will be reduced by minutes. how many miles per hour would dora's travel need to average for her travel time to increase by minutes?
Dora's travel need to average for 50 miles per hour for her travel time to increase by 6 minutes.
Dora is traveling to visit diego at an average speed 60 of mi/h.
∴ Distance = Speed x Time
d = 60 x t (i)
If dora travels with an average speed of 75 mi/h then, her travel time reduce by 6 mins the,
d = 75 x (t-6) (ii)
By solving equations we get,
60 x t = 75 x (t-6)
60t = 75t - 450
15t = 450
t = 30.
In order to increase the travel time by 6 minutes ,
d = s x (t + 6)
60t = s (t + 6)
60x30 = s (36)
s = 50 mi/hr.
So Dora will travel at 50 mi/h for her to increase the time of her journey by 6 minutes.
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Two sides of a parallelogram are 530 feet and 120 feet. The measure of the angle between these sides is 138°. Find the area of the parallelogram to the nearest square foot.
Answer:
42,557 ft²
Step-by-step explanation:
Area of the parallelogram = 2×(Area of ∆)
Area of parallelogram = 2×(½×a×b×sin(θ))
Where,
a = 120 ft
b = 530 ft
θ = 138°
Plug in the values into the formula
Area of parallelogram = 2×(½×120×530×sin(138))
= 120×530×sin(138)
= 42,557 ft² (nearest square foot)
Sylvia has a piece of material that is 668.36 square.she mark the material into 4 equal and then cut out one of the pieces.how much of the material remains? Round the answer to the nearest hundredth .
Aiden has a smart phone data plan that costs $25 per month that includes 2 GB of data, but will charge an extra $10 per GB over the included amount. How much would Aiden have to pay in a month where he used 2 GB over the limit? How much would Aiden have to pay in a month where he used went over by xx GB?
Total cost when over by 2 GB:
Total cost when over by xx GB:
need answer quick
Answer:
45 dollars for going over 2GB
Step-by-step explanation:
If he pays 25 dollars every month and he goes over 2 GB then he’ll have to pay 20 dollars extra since every GB over cost 10 dollars. The equation is 25+10+10 which equals 45.
An expression is a mixture of terms that are combined by using operations such as subtraction, addition, multiplication, and division.
The amount when 2 GB is used over the limit in a month is $45.
What is an expression?An expression is a mixture of terms that are combined by using operations such as subtraction, addition, multiplication, and division.
Example: 2x + 3x2 is an expression.
We have,
Cost of data plan with 2 GB = $25
Cost of one GB = $10
The equation that can be used to find the amount to pay when using x GB over the limit in a month:
= 25 + 10x
The amount when 2 GB is used over the limit in a month:
= 25 + 10 x 2
= 25 + 20
= $45
Thus,
The amount when 2 GB is used over the limit in a month is $45.
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what is the radius of the circle in the xy-plane that has the center at 1, 5 and contains the point 4, 9 ?
The radius of the circle is 5 units.
To find the radius of the circle in the xy-plane with a center at (1, 5) and containing the point (4, 9), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, we have the center at (1, 5) and the point on the circle at (4, 9). Plugging these values into the distance formula, we get:
d = √((4 - 1)^2 + (9 - 5)^2)
= √(3^2 + 4^2)
= √(9 + 16)
= √25
= 5
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