Given:
The slope of the line is 3.
The line passes through the point (2,-1).
To find:
The equation of the line.
Solution:
Point slope form of a line: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (2,-1) with slope 3. So, the equation of the line is
[tex]y-(-1)=3(x-2)[/tex]
[tex]y+1=3(x-2)[/tex]
Therefore, the required equation is [tex]y+1=3(x-2)[/tex]. Hence, all the options are incorrect.
Kayley has a craft box full of buttons. The craft box has 6 yellow buttons, 7 black buttons, 4 red buttons, 2 pink buttons, 8 green buttons, and 3 buttons. If Kayley is randomly choosing buttons out of the box one at a time and then returning them, choose all the statements that are true.
A. Kayley has 1/15 chance in picking a pink button.
B. Kayley has an equal chance in choosing any color button.
C. Kayley has 2/15 chance in choosing a green button.
D. Kayley has a 4/5 chance in picking a button that is not yellow.
E. Kayley will more likely pick a brown button than a red button.
Answer: D
Step-by-step explanation:
I need help with this urgently
Leo has purchased a fee-for-service health insurance plan from Leroux Health Insurance. Plan A includes a $225.00 monthly premium and an annual deductible of $5,500.00 (not including co-pays). Except for chronic back pain, Leo is a fairly healthy man. He visits his primary care physician four times a year on scheduled visits. He sees a chiropractic specialist every two weeks to help with his lower back pain. He has no current prescriptions that need refilling regularly. Assuming Leo maintains his regular visits with his primary care physician and his chiropractor, and avoids any trips to the emergency room or urgent care, how much will Leo pay in health care related fees this year, including his premium payments? See the table below: *
$8300.00
$1960.00
$4660.00
$6216.00
What is the probability (rounded to the nearest whole percent) that a randomly selected gym member would buy passion fruit vitamin water and tropical grape
Vitamin water?
The infamous psychologist, dr. Visegrip, claims that his secret
Answer:is that he likes you
Step-by-step explanation:
What is the equation of the line?
A. y= 1/3x - 1
B. y= -1/3x + 1
C. y= -3x + 1
D. y= 3x - 1
what is 3/5 multiplied by 1/7?
3/12
3/35
4/12
10
35
3/35 is the answer!
3 x 1 = 3
___
5 x 7 = 35
#2.) Shipment Times. A survey of 36 selected recording companies showed these numbers of days that it took to receive a shipment from the day it was ordered. Find the class mean and the modal class for the data.
Days / Frequency
1-3 6
4 - 6 8
7-9 10
10 - 12 7
13 - 15 0
16 - 18 5
Answer:
1. Mean => 8.2
2. Modal class => 7 - 9
Step-by-step explanation:
From the question given above, the following data were obtained:
Days >>>>>> Frequency
1 - 3 >>>>>>> 6
4 - 6 >>>>>> 8
7 - 9 >>>>>> 10
10 - 12 >>>>> 7
13 - 15 >>>>> 0
16 - 18 >>>>> 5
Next, we shall determine the the day mark.
The day mark is obtained by adding the the lower and upper class intervals and diving the result by 2.
This is illustrated below:
Days >> Day mark >>> Frequency
1 - 3 >>> 2 >>>>>>>>>> 6
4 - 6 >>> 5 >>>>>>>>> 8
7 - 9 >>> 8 >>>>>>>>> 10
10 - 12 >> 11 >>>>>>>> 7
13 - 15 >> 14 >>>>>>>> 0
16 - 18 >> 17 >>>>>>>> 5
1. Determination of the mean.
Summation of (day mark × frequency) = (2×6) + (5×8) + (8×10) + (11×7) + (14×0) +(17×5)
= 12 + 40 + 80 + 77 + 0 + 85
= 294
Summation of frequency = 6 + 8 + 10 + 7 + 0 + 5
= 36
Mean = Summation of (day mark × frequency) / Summation of frequency
Mean = 294 / 36
Mean = 8.2
2. Determination of the modal class.
The modal class is simply the class with the highest frequency.
Days >>>>>> Frequency
1 - 3 >>>>>>> 6
4 - 6 >>>>>> 8
7 - 9 >>>>>> 10
10 - 12 >>>>> 7
13 - 15 >>>>> 0
Considering the data given above, the class with the highest frequency is 7 - 9.
Thus, the modal class is => 7 - 9
The average annual per capita consumption of fuel, in gallons, for a forty-year period is shown.
Year
0 5 10 15 20 25 30 35 40
Fuel Consumed (gallons) 654 711 712 675 619 563 527 527 584
What polynomial models these data?
G(a) = 1.50x2 + 18.31x + 654.01
O G(x) = 0.025x3 - 1.50x? + 18.31x + 654.01
G(x) = 0.02523 + 654.01
O G(x) = 0.0252 + 18.31x + 654.01
Answer:
O G(x) = 0.025x3 - 1.50x? + 18.31x + 654.01
Step-by-step explanation:
An air-conditioning repair technician claims to complete 67% of repairs in under an hour. A random sample of 31
repairs was chosen, and 22 of those were completed in under an hour. Let p = the proportion of the random
sample that were completed in under an hour.
The probability that 71% or more of this technician's repairs were completed in under an hour is 0.317. Does this
result provide convincing evidence against the technician's claim?
Yes, it is expected that 22 of the units at most will be repaired in under an hour.
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by
chance alone is very unlikely.
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
No, the difference between the sample result and what is expected is not extreme enough. The probability of it
occurring by chance alone is not unlikely.
Answer:
D No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.
Step-by-step explanation:
Got it right on unit test review
The probability of it occurring by chance alone is not unlikely.
We have given that,
An air-conditioning repair technician claims to complete 67% of repairs in under an hour. A random sample of 31.
repairs was chosen, and 22 of those were completed in under an hour. Let p = the proportion of the random.
The sample was completed in under an hour.
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
The probability that 71% or more of this technician's repairs were completed in under an hour is 0.317.
D No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.
To learn more about the probability visit:
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122)
Find ..
leverd
A
122
B
61
с
58
D
29
n
Answer:
29
Step-by-step explanation:
x= (180 - 122) / 2
x= 58/2
Find the value of x. x + 0.6 = -1 *
Step-by-step explanation:
I need help I need this
Done by today
Answer:
for every 3 layla has, ruby has 4 followers
Answer:
For every 3 followers Layla has, Ruby has 4 followers.
Step-by-step explanation:
15 : 20
divide both by 5
3 : 4
The dimensions of a rectangular sandbox are 4x + 2 by 2x + 4. The dimensions of a rectangular garden are 3x - 2 by x + 4. Which
expression represents how much more area the sandbox covers than the garden?
O A 5x2 + 10x + 16
OB. 10x2 + 8
o C. 8x2 + 20x + 8
O D. 11x2 + 30x
Answer:
A. 5x²+10x+16
Step-by-step explanation:
Sandbox Dimensions - Garden Dimensions
(4x+2)(2x+4) - (3x-2)(x+4)
(8x²+20x+8) - (3x²+10x-8)
5x²+10x+16
b.) Evaluate x + 12 when x = 5
Answer:
17
Step-by-step explanation:
Answer:
a. x + 5 = 12 b. 4 · x = -20.
6 1 8 4 2 7 what is the next two numbers?
Answer:
I think 4 and 9 im not sure pls tell me if you get it right, if you do pls mark me brailist
Step-by-step explanation:
when u look at the differance between 7 and 2 you get 5 and its goes low number to high in 2, 7 and 9-4=5 too and you do low to high!
(10 A person flying a kite has released
123 ft of string. The string makes an
angle of 21 degrees with the ground. How high
is the kite ?
Answer:
The kite is about 44.1 feet high.
Step-by-step explanation
Since you are trying to find the height, you would draw a triangle to diagram which sides you need to use. The 123 ft of string would be the hypotenuse of the triangle while the 21 degrees is the theta. You are trying to find the height and from the theta that would be the opposite side so you would use sine because you are using opposite and hypotenuse.
sin21=x/123
You have sin of 21 because that is the angle measure, then opposite over hypotenuse which is x/123.
You then multiply both sides by 123 to get the variable of x alone on one side.
123sin21=x
Then just plug this into your calculator and round to the nearest tenth and you get 44.1 feet.
Hope this helped explain how to do these problems, I had trouble doing them awhile back in Algebra 2 so hope this helped out a little.
Last week at the park Haeather ran 4 miles in 48 minutes when she runs her next race she Hope's to improve her time by 2 minutes per mile
Last week at the park what was haeather rate of speed in miles per hour
Answer:
Haeather ran at a speed of 5 miles per hour.
Step-by-step explanation:
Given that last week at the park Haeather ran 4 miles in 48 minutes, to determine what was Haeather rate of speed in miles per hour the following mathematical calculation must be performed:
48/4 = 12
Thus, Haeather ran 1 mile every 12 minutes.
60/12 = 5
1 x 5 = 5
Therefore, Haeather ran at a speed of 5 miles per hour.
⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP PLEASEEEE I HAVE 7 MINUTES LEFT ⚠️⚠️⚠️⚠️⚠️
Answer:
(6,6) for B and (12,6) for C
Step-by-step explanation:
3,3·2=6,6
6,3·2=12,6
Is 3.13 greater than 3.12
Answer:
yes
Step-by-step explanation:
if we figure out the difference between the two numbers by subtracting one from the other, if the product comes out positive, then the number you subtracted from is greater, if the product comes up negative, then the number you subtracted from is lesser
say we did 3.13 as our first number
3.13 - 3.12 = 0.01
this means that 3.13 is greater by 0.01, if we switch the two numbers however...
3.12 - 3.13 = -0.01
then that means that 3.12 is lesser by 0.01
i hope this makes sence, working with decimals may get tricky sometimes lol
Yes, 3.13 is greater than 3.12.
What is decimal?A decimal number is a number in which whole number part is separated from a decimal.
How to find greater number?We have been given two numbers 3.13 and 3.12 and we have to find the greater number from these two numbers. When two numbers are in decimal then firstly we have to see the digit before the decimal, the number having large digit becomes large. If the digit before decimal is same in both numbers then we have to see whether the first digit after the decimal is greater or not. If this digit is also same then we will move towards left and so on.
In the numbers 3.12 and 3.13, 3 which is second digit after decimal is greater than 2. So 3.13 is greater than 3.12.
Hence 3.13 is greater than 3.12.
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Helpppppp....... 75 points givin
What is the value of (-14^0)^-2 <—- picture also down below
Options
A. -1/196
B. 1/96
C. 0
D. 1
Answer:
Step-by-step explanation:
I believe it is C
Answer:
65 4 67. 1.23 A histogram (using the classes 10–14, 15–19, 20–24, etc.) is ... fairly symmetric with center around 2% to 3%, spread from −14.7% to 19.2%. (c) ... (b) Below. (c) The distribution is skewed to the left, with center (median) around 7.8. ... Using table values: 1.45 ± 1.96(0.40) = 1.45 ± 0.784, or 0.666 to 2.234 grams.
Can anyone Help me pleasee ?
Answer:
First one
Step-by-step explanation:
.20 is 20% of 100 and there is 5 boxes and 5 times 20 = 100
Find the rule. Solve for n
The sum of two numbers is twenty-four. The second number is equal to twice the first number. Call the first number m and the second number n.
translate
Step-by-step explanation:
m+n=24.....(1)
n=2m
put value of n in equation 1
m+2m=24
3m=24
m=8
n=2(8)
n=16
Hiii pple can yall help me out here plz
Single term algebraic expression is called?
1. Monomial
2. Binomial
3. Trinomial
4.None of these
Answer:
the answer is Monomial I hope this helps
Answer:
Monomial - an expression that consist of 1 term
Step-by-step explanation:
Bi - two
Binomial - an expression consisting of two terms
Tri - three
Trinomial - an expression consisting of three terms
Helpppp me prettyyyy please I’m confused
Answer:
For every 1 vote cast for Candidate D, there were 4 votes for candidate C.
Step-by-step explanation:
Hope this helps! Have a good day!
Answer:
For every 1 vote cast for Candidate D, there were 4 votes cast for Candidate C.
Evaluate the expression for p = 2.
4p =
Answer:
4p = 8
Step-by-step explanation:
2 × 4 = 8
4p = 8
There are 42 kids and I want give them each 1/3 of a large sub sandwich. How many sub sandwiches do I need?
Answer:
14 sub sandwiches
Step-by-step explanation:
42 x [tex]\frac{1}{3}[/tex]
42/3 = 14 sub sandwiches
1. Find the equation of the line that passes through the point
(2,12) and is parallel to the equation below.
y = 40 - 1
A. y = 43 – 20
B.y = 45 + 4
C. y = + 14
D.y = x + 10
Answer:
None of the above ? （the equation should be y=12）
Step-by-step explanation:
the line parallel to line y=40-1=39 means it's a horizontal line. Which means it's y coordinate is also a constant. Since it pass through （2,12）,it means the constant of y is 12.
what is the answer???
Answer:
360 seconds
Step-by-step explanation:
ALL YOU HAVE TO DO IS MULTIPLY 1/2 AND 12, WHICH GETS YOU 6! now in seconds just multiply 6 times 60 to get 360!
Answer:
6 minutes
Step-by-step explanation:
We multiply the amount of problems by the time per problem to get the equation (1/2)(12)=x where x is the time she takes to complete 12 questions. (1/2)*(12) = 6.
Nadia correctly answered 32 questions correct out of 40. What percent correct did she answer correctly?
Answer:
She answered 90% correctly
Answer:
80%
Step-by-step explanation:
divide 32 by 40 to get 0.8 or 80%