Answers
The Correct choice is :
[tex]y = \dfrac{3}{5} x + 2[/tex]Explanation :As per given in the question, both the lines are parallel so they have equal slopes. that is slope of required line is :
[tex] \dfrac{3}{5} [/tex]now, let's use slope and the coordinates of the given points to find the equation of line in point - slope form :
[tex]y - y1 = m(x - x1)[/tex][tex](y - ( - 1)) = \dfrac{3}{5} (x - ( - 5))[/tex][tex]y + 1 = \dfrac{3}{5} (x + 5)[/tex][tex]5(y + 1) = 3(x + 5)[/tex][tex]5y + 5 = 3x + 15[/tex][tex]5y = 3x + 15 - 5[/tex][tex]5y = 3x + 10[/tex][tex]y = \dfrac{3x + 10}{5} [/tex][tex]y = \dfrac{3}{5} x + 2[/tex]therefore , the correct choice is A
Related Questions
A truck can be rented from Company A for $110 a day plus $0.50 per mile. Company B charges $80 a day plus $0.75 per mile to rent the same truck. Part A: Write an equation to find the number of miles in a day at which the rental costs for Company A and Company B are the same. Part B: Solve the equation.
Answers
m=number of miles
A=$110+$0.50m
B=$80+$0.80m
$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)
$30=$0.30m Divide each side by $0.30
100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.
3. A random sample of 100 people was taken. There were sixty people who favored Brand A. We are interested in determining whether or not the proportion of the population in favor of Brand A is significantly more than 55%. At a 0.05 level of significance, it can be concluded that the portion of the population in favor of Brand A is ____. a. Significantly greater than 60% b. Not significantly greater than 55% c. Not significantly greater than 60% d. Significantly greater than 55% e. None of the above
Answers
Testing the hypothesis, it is found that the correct option is:
b. Not significantly greater than 55%.
At the null hypothesis, we test if the proportion is not significantly more than 55%, that is:
[tex]H_0: p \leq 0.55[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 55%, that is:
[tex]H_1: p < 0.55[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.55, n = 100, \overline{p} = \frac{60}{100} = 0.6[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.6 - 0.55}{\sqrt{\frac{0.55(0.45)}{100}}}[/tex]
[tex]z = 1.01[/tex]
The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted by the p-value of z = 1.01.
Looking at the z-table, z = 1.01 has a p-value of 0.8438.
1 - 0.8438 = 0.1562.
The p-value of the test is 0.1562 > 0.05, which means that the proportion is not significantly greater than 55%, and option b is correct.
A similar problem is given at https://brainly.com/question/24330815
como se escribe 654,007,000 en letra
Answers
Answer:
seiscientos cincuenta y cuatro millones siete mil
2
Solve for :
WIN
(x - 4) = 2x. (1 point)
O
o
Answers
Answer:
D. X=-2
Step-by-step explanation:
Pairs of expressions are given. Select the pairs that are equivalent .
Answers
Answer:
All the options are correct
C. Direction : Arrange the events in the menstrual cycle. Write the number that corresponds to
the order of the event in the cycle.
________1. Menstrual flow
________2. Release of the egg
________3. Shedding of the
endometrium
__________4. Thickening of the endometrium
Answers
Answer:
4
3
2
1
Step-by-step explanation:
so thickening of the endometrium
then shedding of the endometrium
release of the egg
then menstrual flow
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answers
Answer: 171 attendees
Step-by-step explanation:
I answered another similar question by you earlier, so I really hope you read through this explanation, as I will go far in depth. It's important you learn to do this so as not to simply skate through homework, then struggle with assessment.
For this problem, you have to find something called a unit price.
A unit price is the price in dollars per thing.
In this case, the price in dollars for the whole group is $132 for many things, 66 attendees.
Because 66 attendees costs $132, to find out how much money a single attendee costs, simply divide $132 by 66 to get 2$ for 1 attendee.
With this information, it is very straightforward to determine the number of attendees for $342. Simply divide $342 by $2 to get 171 attendees.
I really hope it helps :) and please, let me know if you want me to explain in more depth, the unit you are currently in is a fundamental part of early math, and it is important you understand it.
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference? A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units. Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. The distance is exactly the difference. The distance is the absolute value of the difference. The distance is not related to difference.
Answers
Answer:
The distance is the absolute value of the difference. aka c
Step-by-step explanation:
-6.4x + 3.5y = 7? what is the slope
Answers
6.4/3.5, OR about 1.83
First job is to isolate the y.
3.5y=6.4x+7
Now divide both sides by 3.5 to get the equation into y=mx+b form.
That leaves a rounded equation of y=1.83x+2
In y=mx+b, the m is the slope. This means the slope of this line is 1.83, or 6.4/3.5
Please help me figure this out.
Answers
The Foldgers Black Silk K-cup coffee pods weigh on average .28 ounces with a standard deviation of .05 ounces. Answer each of the questions.
68%, 2.5%, 81.5%, 95%, 41-42, 20-21, 16%, 84%, 121-122, 5%, 87-88, 64, 35-36
What percentage of K-cups can be expected to fall within 2 Standard Deviations of the mean?
What is the probability that a K-cup will have more than .33 ounces?
Sam's club sells K-cups in a box of 128. How many of them will weigh less than .23 ounces?
K-cups that are more than 2 SD below the mean are considered to be to "weak". What percentage of K-cup are considered to "weak"
In a standard box of 44 k-cups, how many will weigh between .23 and .38 ounces
The ideal weight for K-cups are within 1 SD of the mean, how many of the Sam's Club box of K-cups are ideal?
Answers
Using the Empirical Rule, it is found that:
95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.0.16 = 16% probability that a K-cup will have more than .33 ounces.20 of them will weight less than 0.23 ounces.2.5% of K-cups are considered weak.36 will weigh between 0.23 and 0.38 ounces.30 of the Sam's Club box of K-cups are ideal.The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem:
The mean is of 0.28 ounces.The standard deviation is of 0.05 ounces.First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.
0.33 ounces is one standard deviation above the mean.
68% of the measures are between 0.23 and 0.33 ounces.The normal distribution is symmetric, which means that of the remaining 100 - 68 = 32%, 16% are less than 0.23 ounces and 16% are more than 0.33 ounces, thus:0.16 = 16% probability that a K-cup will have more than .33 ounces.
16% weigh less than 0.23 ounces. Out of 128:
[tex]0.16(128) = 20[/tex]
20 of them will weight less than 0.23 ounces.
5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.
0.23 is one standard deviation below the mean.0.38 is two standard deviations above the mean.Of the 50% below the mean, 68% are above 0.23.Of the 50% above the mean, 95% are below 0.38.Thus, the proportion between 0.23 and 0.38 is:
[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]
Out of 44:
[tex]0.815(44) = 36[/tex]
36 will weigh between 0.23 and 0.38 ounces.
68% are within 1 standard deviation of the mean.
Out of 44:
[tex]0.68(44) = 30[/tex]
30 of the Sam's Club box of K-cups are ideal.
A similar problem is given at https://brainly.com/question/13503878
Completely Factor the following equations.
a) 3x^3 + 15x^2 + 18x
Answers
3x^3 + 15x^2 + 18x
3(x^3+5x^2+6x)
Find one factor
3x(x^2+5x+6)
Factor by grouping
3x(x+2)(x+3)
Solution
3x(x+2)(x+3)
******Please help me please help me help please help*****
Answers
9514 1404 393
Answer:
(c) y = 36·5
Step-by-step explanation:
If x represents the number of chocolates, the given formula ...
y = kx
with the values k = 36 and x = 5 inputted will look like ...
y = 36·5
Set a timer for 20 seconds. Next, get ready to walk! Start the timer and count the number of steps you take in 20 seconds. Now for some math — using the number of steps you just counted, figure out the following:
The number of steps you took ÷ 20 seconds = _____ steps per second (round this to 2 decimals)
We want to make a five-second animation of a stick figure walking, so…
Five seconds x your # of steps per second = _____ steps
The walk cycle is for each foot taking a step, so two steps equals a walk cycle.
Total steps ÷ 2 = _____ walk cycles in your five-second animation
Answers
Answer:
1. 2.5 steps per second
2. 1.25 steps
Step-by-step explanation:
Pls need help, will give brianlist
Answers
Answer:
1) Your slope should be 1/5
2) Your slope should be [tex]\frac{-3}{2}[/tex]
3) Your slope should be 1/2
I hope this helps! : )
PLEASE HELP ITS MATH THANK YOUUUU
Answers
Answer:
35 : w = 1 : 2
obviously w = 70
Step-by-step explanation:
Hopefully this helps you :)
Have a nice day.
apokibunnyavatar
find the length of x rounded to nearest hundredth please!!
Answers
Answer:
4.00 pls give brainliest
Step-by-step explanation:
Hello turkshcutie11!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Find the value of x.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
It's given that the triangle in the figure is a right triangle (a triangle with one angle as 90°). So, we can use the pythagoras property to solve this question.
__________________
Given sides :-
5 units (base)3 units (altitude)x units (hypotenuse)__________________
Using pythagoras property...
Hypotenuse ² = Base² + Altitude ²
x² = 5² + 3²
x² = 25 + 9
x² = 34
x = √34
x = 5.83 units (1st option).
__________________
Hope it'll help you!
ℓu¢αzz ッ
What single percentage change is equivalent to a 14% increase followed by a 11% decrease?
Options:
4.54% decrease
26.54% increase
4.54% increase
1.46% decrease
26.54% decrease
1.46% increase
Answers
Answer:
1.46%
Step-by-step explanation:
Pretend you have a number as a test dummy. We'll go with 100 for simplicity. A 14% increase to 100 would be 114. Then we can decrease 114 by 11%. We can find 11% of 114 with an equation like so: x/114 = 11/100. We can then cross multiply to get this" 100x = 1254, which can be simplified to x=12.54. Now, we can subtract 12.54 from 114, which will get us 101.46. Because percentage is based on 100, we can simply subtract 100 from 101.46, which gives us 1.46. So, the answer is 1.46%.
GUYS IS THIS CORRECT? CLASS 6 MATHS
Answers
Answer:
yes these all are correct
17. Bailey rode Coaster B four times. How
many feet did she ride? What is your
answer rounded to the nearest thousand?
DATA
18. Janna rode each of the four roller
coasters listed in the table twice. How
many feet of roller coaster did she ride?
Answers
Answer:
Step-by-step explanation:
Help help help help
Answers
Answer:
Step-by-step explanation:
A(0,4)
B(6,-4)
C(-2,-8)
just multiply every point by 2
from a piece 20m long ,100 pieces each 7.5cm are cut off how much remain
Answers
Answer:100*7.5=750cm=7.5 m
left rope=20-7.5=12.5m
Step-by-step explanation:
Pa Brainliest Kung Pwede.
Answer:
12.5 metres
Step-by-step explanation:
→ Multiply the pieces by the length
100 × 7.5 = 750 cm
→ Convert to metres
750 cm = 7.5 metres
→ Minus from original length
20 - 7.5 = 12.5 metres
A record-store owner assesses customers entering the
store as high school age, college age, or older, and
finds that of all customers 30%, 50%, and 20%, respectively, fall into these categories. The owner also found
that purchases were made by 20% of high school age
customers, by 60% of college age customers, and by
80% of older customers.
a. What is the probability that a randomly
chosen customer entering the store will make a
purchase?
Answers
Answer:
ongjdgffchcfgrsfedfcnfdrdghcmgh drdjcgfdrrjfvghjfdrejkgjbvdurfvgjkgb hj
jni'ipjh
Step-by-step explanation:
the force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , what is the object's mass? the unit for this mass is kg.
help me pls /ᐠ｡ꞈ｡ᐟ\
Answers
Answer: According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.
Step-by-step explanation:
If F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , then the mass in kg of the objects is 4 kg
What is Force?When a body tends to modify or change the state by an external cause, it is called Force.
Given:
F=ma
Where,
F = Force (N)
m = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
To learn more on force click:
brainly.com/question/25250873
#SPJ2
Find the distance between A(-4,4) and B(-2,2). Round your answer to the nearest tenth.
Answers
Answer:
6.3
Step-by-step explanation:
Two angles are complementary. One angle is 8º less than three times the other angle. Find the measures of the angles.
Part 1 of 2
The smaller angle is
Part: 1 / 2
Part 2 of 2
The larger angle is
Submit Assignment
Answers
Answer:
Step-by-step explanation:
complementary angles sum to 90°
Let angle 1 = x
angle 2 = 3x - 8
3x - 8 + x = 90
4x = 98
x = 24.5°
3(24.5) - 8 = 65.5°
or
90 - 24.5 = 65.5°
what is a Scalene triangle?
Answers
Answer:
A triangle that has no equal sides is a scalene triangle.
Help please I’ll give BRAINLIEST
Answers
Answer:
first one is M=0 and second one is undefined
HELPP! I will give brainliest
Answers
I when I'm 10, my brother is half of my age. How old is my brother if I am 44 now
Answers
Answer:
Step-by-step explanation:
A-B = 4–2 = 2 (age difference between A and B). IF A = 44,. B = A - 2 = 44 - 2 = 42 years old.
Answer:
39 years old
It could be;
10 ÷ 1/2 = 5
Age difference= 10 - 5= 5 years
So, 44 - 5 = 39 years old
