Answer:
y=-x+18
Step-by-step explanation:
Equation of a line
A line can be completely defined by two points. Suppose we know the line passes through points A(x1,y1) and B(x2,y2).
The equation for a line can be written as:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept. Both values can be determined by using the coordinates of the given points.
First, determine the slope with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are: A(15,3) B(3,15)
[tex]\displaystyle m=\frac{15-3}{3-15}=\frac{12}{-12}=-1[/tex]
The equation of the line can be written as:
[tex]y=-x+b[/tex]
Now, use any point to determine the value of b. Substitute (15,3):
[tex]3=-15+b[/tex]
Solve for b:
b=18
The equation of the line is
y=-x+18
The slope is -1 and the y-intercept is 18.
HELP
ME
PLEASE
I
DONT
UNDERSTAND
Answer:
Step-by-step explanation:
acid=16.5 % of 348
=0.165×348
≈57.4 ml
solve the inequality -2w < -18
Answer:
the answer is w > 9
Step-by-step explanation:
First you need to divide -2 on both sides. Then u get w < 9. But because your dividing by a negative you need to flip the sign and you get w > 9
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 66 people, and there are 66 different possible weapons and 99 possible rooms. At one point in the game, you have narrowed the possibilities down to 55 people, 55 weapons, and 66 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct
Answer:
The probability of the guess being correct is 1/150.
Step-by-step explanation:
The information provided for the game Clue is:
Clue is a board game in which you must deduce three details surrounding a murder. The guilty person can be chosen from 6 people. There are 6 different possible weapons.There are 9 possible rooms.Now it is provided that at some point the possibilities have been narrowed down to 5 people, 5 weapons, and 6 rooms.
The number of ways to select a guilty person from the 5 selected people is,
n (P) = 5
The number of ways to select a weapon from the 5 selected weapon is,
n (W) = 5
The number of ways to select a room from the 6 selected rooms is,
n (R) = 6
Then the total number of random guesses is,
N = n (P) × n (W) × n (R)
= 5 × 5 × 6
= 150
And only one of these 150 guesses is correct.
So, the probability of the guess being correct is 1/150.
A cell phone company is trying to find a waterproof cell phone case to add to its product line. Company managers know that plastic and silicone will be used. They also know that the depth of the water—less than five feet, between five feet and 20 feet, and more than 20 feet—affects the waterproof case. An experiment will compare all combinations of these choices. The cell phones will be subjected to each treatment, with one group dropped in water without a case, and all phones will be scored for quality. What is the control?
a. Cell phones in the plastic case
b. Cell phones in the silicone case
c. Cell phones in the plastic case dropped in water less than five feet deep
d. Cell phones in the silicone case dropped in water more than 20 feet deep
e. Cell phones with no case
Answer: the cell phones with no case
Step-by-step explanation:
this is because this is the option that neither the subject nor the group is tested for the dependent variable which is what helps you find a conclusion.
The cell phones will be subjected to each treatment. The correct option is E that is cell phones with no case.
What are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.
The variables who take their values based on some other variables' values are called dependent variables.
Since neither the subject nor the group is tested for the dependent variable which is helps to find a conclusion.
Thus, option E is correct that is e. Cell phones with no case.
Learn more about dependent variables. ;
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Suppose A and B are square matrices of the same size. Which of the following are necessarily true?
a. (A-B)^2=A^2-2AB + B^2
b. (AB)^2=A^2B^2
c. (A + B)^2-A^2 + 2AB + B^2
Answer:
c. (A + B)^2-A^2 + 2AB + B^2
Step-by-step explanation:
Given that:
a.
(A-B)^2 = A^2 - 2AB + B^2
If and only if AB = BA
Then;
(A-B)^2 = (A -B ) (A - B)
(A-B)^2 = A^2 - AB-BA + B^2 (FALSE)
b.
(AB)^2=A^2B^2
on true if any only if AB =BA
(AB)^2= (AB) (AB)
c.
(A+ B)^2 = A^2 + 2AB + B^2
(A+ B)^2 = (A + B) (A+B)
(A+ B)² = A × A + A × B + B × A + B × B
(A+ B)^2 = A^2 + A*B + B*A + B^2
This is true
.
Write a mixed number giving the amount shaded.
Answer:
see below
Step-by-step explanation:
We have two wholes shaded and 1 of 4 shaded in the third circle
mixed number
2 + 1/4 = 2 1/4
Each circle is divided into 4 parts
count the number of shaded parts
There are 9 shaded parts
Since the circles are divided into 4 parts, that goes into the denominator
Improper fraction
9/4
A field that is 3/4 acres must be planted with seed. If 28 people will split the job equally, how many acres must each person plant?
Answer:
3/112
Step-by-step explanation:
you take 3/4 and divide it between how many workers you have so that equals 3/112
Estimate a 10% tip on a bill of $168.48 by first rounding the bill amount to the nearest ten dollars.
Answer:
$17
Step-by-step explanation:
168.48 rounded to nearest ten
is $170.00 because the number behind the tens place is larger than 5 (8). Therefore you round up
170 x 0.10 is 17
Calculate the value of tan (48°19'23'').
Answer:
tan (48°19'23'') => 1.1232
Step-by-step explanation:
60' minutes are present in a degree, and 60 * 60' seconds are present in a degree;
48°19'23'' = 48 + 19/60 + 23/3600
= [tex]\frac{172800}{3600}+\frac{1140}{3600}+\frac{23}{3600}[/tex]
= [tex]\frac{172800+1140+23}{3600}[/tex]
= [tex]\frac{173963}{3600}[/tex] = 48.323°
tan(48.323°) = 1.1232
Whats the first step to slove 15x + 7 =3x
PLZ HELP!!! TIMED WORKSHEET
Answer:1. 152.4
2. 0.0009
3. 680
Step-by-step explanation:
What is the length of BC?
Answer:
15 units
Step-by-step explanation:
Write an
equation that represents the line.
Use exact numbers.
Answer:
y = 2/3x + 4/3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find slope m
[tex]m=\frac{4-2}{4-1}[/tex]
[tex]m=\frac{2}{3}[/tex]
y = 2/3x + b
Step 2: Find y-intercept b
2 = 2/3(1) + b
2 = 2/3 + b
b = 4/3
Step 3: Write linear equation
y = 2/3x + 4/3
Answer:
y = 2/3x+4/3
Step-by-step explanation:
We have two points ( 1,2) and (4,4)
We can find the slope
m = ( y2-y1)/(x2-x1)
= ( 4-2)/(4-1)
= 2/3
We can use the slope intercept form of the equation of a line
y = mx+b where m is the slope and b is the y intercept
y = 2/3 x+b
Substituting a point into the equation
4 = 2/3(4) + b
4 = 8/3 +b
Subtract 8/3 from each side
12/3 - 8/3 = 8/3 +b-8/3
4/3 = b
y = 2/3x+4/3
According to the bar graph above how many people sleep six hours or more?
Answer:
D
Step-by-step explanation:
6-8:35
8-10:25
35+25=60
The correct answer is D.
PLSS HELP OOOOFF
How many groups are in 2/3 are in 3/5?
A.9/15
B.9/10
C.1 1/3
D.1 1/9
Answer:
The answer is B: 9/10
Step-by-step explanation:
You have to divide.
3/5 ÷ 2/3 =
3/5 × 3/2= 9/10
Find the sample standard deviation. 7,17,16,10,9,8,15,13,11
im sorry im very bad at math ;w; what is 1/5 + 2/15 = ???
Answer:
the answer is 1/3
Step-by-step explanation:
.........
[tex] = \frac{1}{5} + \frac{2}{15} [/tex]
[tex] = \frac{(1 \times 3)}{15} + \frac{(2 \times 1)}{15} [/tex]
[tex] = \frac{3}{15} + \frac{2}{15} [/tex]
[tex]= {\frac{5}{15}}[/tex]
[tex] = \frac{5 \div 5} {15 \div 5} [/tex]
[tex]\color{hotpink}= \frac{1}{3} [/tex]
Therefore :-
[tex]\color{olive}\bold{ \frac{1}{5} + \frac{2}{15} =\color{hotpink} \frac{5}{15} \: \: \texttt{or} \: \: \frac{1}{3} }[/tex]
A cube has a side length of 5 inches.
Select all the values that represent the cube's volume in cubic inches.
5.5
25.5
5 5
53
25. 25
125
Answer:
125
Step-by-step explanation:
To find volume you use length x width x height. All sides of a cube or square with always be the same so just use the equation 5 x 5 x 5 to get the answer.
A survey of a large number of high school students reported that 18.6%
read the newspaper. Results of the surveys of this size can be off by as
much as 1.5 percentage points. Which inequality describes the actual
percentage of students that read the newspaper,x?
Answer:
The inequality that describes the actual percentage of students that read the newspaper is 17.1% ≤ x ≤ 20.1%.
Answer:
actual percentage of the students that read the news paper is 17.1% <×>20.1 %
simplify 8^6 divided by 8 plssss :/
Answer:
.8^6/8( 262,144)/8= 32,768Step-by-step explanation:
Hope that will help youPls help willing to give brainiest
Which describes the transformation of trapezoid LMNO?
A)reflection over the y-axis
B)reflection over the x-axis
C)reflection over the origin
D)reflection over the line y = -2
Answer:
Its B bc the other shape is inverted
Answer:
B)reflection over the x-axis
Aaron buys 11 bottles of apple juice at the corner store for a total cost of $5.17. If each bottle costs the same amount, how much is each bottle of juice?
Answer:
56.87.
Step-by-step explanation:
Answer:
0.47
Step-by-step explanation:
5.17/11
There are _____ spots for every 2 eyes
There are _____ spots for every 1 eye
Help
Answer:
3 and 1.5
Step-by-step explanation:
there are 3 spots seen and thats for two eyes so for 1 eye since its half 3 in half is 1.5
a taxi ride costs 40 dollars for the first 500 meters and each additional 300 meters (or a fraction thereof) adds $3.50 to the fare.How much will a taxi passenger pay for a three kilometer ride?
Answer:
$ 71.5
Step-by-step explanation:
firstly kilometer to meters
1 km = 1000 m
therefore 3 km = 3000m
for the first 500 = $40
hence deduct the 500 from 3000m
3000 - 500 = 2500
now find out how many 300m go into 2500
2500 / 300 = 8.33
which is rounded up to 9
therefore the total amount is :
40 + 9 * 3.5
= $71.5
he percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers are as follows. The scores range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
Job Satisfaction Score IS Senior Executives (%) IS Middle Managers (%)
1 5 4
2 9 10
3 38 19
4 42 46
5 6 21
Develop a probability distribution for the job satisfaction score of a randomly selected senior executive.
This shows that the Probability distribution of the scores of a randomly selected senior executive is correct.
Probability distribution for the job satisfaction score of a randomly selected senior executive
A probability distribution is a table of all possible values of a variable (like scores) and the likelihood of their occurrence.
The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives are given as:Job Satisfaction Score IS Senior Executives (%)1 5%2 9%3 38%4 42%5 6%
To determine the probability distribution of the scores for a randomly selected senior executive, we convert the percentage distribution into a probability distribution by dividing the percentage frequency of each score by 100. Then, we add up the probabilities of all scores to verify that they sum up to 1 (or 100%).
Therefore, the probability distribution is:
Job Satisfaction Score Probability of Occurrence1
0.052 0.093
0.384 0.425 0.06
The sum of the probabilities of all scores is 0.05 + 0.09 + 0.38 + 0.42 + 0.06 = 1.00 or 100%.
This shows that the probability distribution of the scores of a randomly selected senior executive is correct.
For more questions on Probability .
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HELP ITS DUE IN A FEW MINS WITH MY OTHER QUESTION BUT I NEED MY LAST HELP PLS AND TYYY I WOULD APPRECIATE IT SM <3
Answer:
y=3/4x+1
Step-by-step explanation:
up 3 right 4. U better hurry up and answer that question my guy!
Tan weighs 146 pounds. Minh weighs 15 pounds more than Tan. How much does Minh weigh?
Provide your answer below:
pounds
Answer:
Minh weighs 161 pounds.
Step-by-step explanation:
Add 15 to 146 and you get 161. Hope this helps :)
Answer:
Tan = 146 pounds
Let x be Minh's weight
x = 146+15
x = 161
Therefore, Minh weighs 161 pounds.
A ball is thrown from an initial height of 2 meters with an initial upward velocity of 20 m/s. The ball's height h (in meters) after t seconds is given by the following.
Find all values of t for which the ball's height is 7 meters.
h = 2 + 20t - 5t^2
Round your answer(s) to the nearest hundredth.
Answer:0.27
Step-by-step explanation:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
4 / 15 = 0.266
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 266
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule II applies, so 4/15 (or 0.266) rounded to the nearest hundredth in decimal format is:
0.27
Which equations can be represented using the number line?
Jaylen’s beta fish tank holds 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. What is the flow rate of the water in gallons per minute NEED HELP ASAP IT DUE TODAY HELP MEE
Answer:
12/5
Step-by-step explanation:
His fish tank is 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. So you need to find out how many gallons you can pour in 1 minute. You can eliminate A because he is filling more than 1 gallon per minute. You can divide 4.5 (4 1/2) by 1.875 (1 7/8). You get 2.4. Convert it back to a fraction, and you get 2 4/10. Simplify the fraction 2/5. Now convert it to an improper fraction. 12/5.
