Answer:
The point-slope form of the equation of the parallel line is y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe point-slope form is of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the coordinates of a point lies on the line∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3
→ Compare it with the first form of the equation above
∴ m = [tex]\frac{3}{4}[/tex]
∴ The slope of it is [tex]\frac{3}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line is [tex]\frac{3}{4}[/tex]
∵ The point-slope form is y - y1 = m(x - x1)
→ Substitute the value of the slope in the form of the equation above
∴ y - y1 = [tex]\frac{3}{4}[/tex] (x - x1)
∵ The line passes through the point (4, 3)
∴ x1 = 4 and y1 = 3
→ Substitute them in the equation above
∴ y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
∴ The point-slope form of the equation of the parallel line is
y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12.
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
Of(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
O f(x) = 5x + 2
Answer: I think it’s f(x)=2x+2
Step-by-step explanation:
Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on
her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,
0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the
first light is red, and let R2 denote the event that the second light is red.
a) Determine the probability that at least one light will be red. (Show how you calculate this.)
b) Determine the conditional probability that the second light will be red given that the first light is
red. (Show how you calculate this.)
c) Are the events R1 and R2 independent? Justify your answer numerically.
d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.
Answer:
Explained below.
Step-by-step explanation:
The information provided is,
P (R₁) = 0.35
P (R₂) = 0.45
P (R₁ ∩ R₂) = 0.20
(a)
Compute the probability that at least one light will be red as follows:
P (at least one light will be red) = P (R₁ ∪ R₂)
= P (R₁) + P (R₂) - P (R₁ ∩ R₂)
= 0.35 + 0.45 - 0.20
= 0.60
Thus, the probability that at least one light will be red is 0.60.
(b)
Compute the conditional probability that the second light will be red given that the first light is red as follows:
[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]
[tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]
Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.
(c)
If two events, say A and B are independent then:
P (A|B) = P (A).
The value of P (R₂ | R₁) = 0.57.
And the value of P (R₂) = 0.45
P (R₂ | R₁) ≠ P (R₂)
Thus, the events R₁ and R₂ are not independent.
(d)
If two events, say A and B are mutually exclusive then:
P (A ∩ B) = 0
The value of P (R₁ ∩ R₂) = 0.20.
Thus, the events R₁ and R₂ are not mutually exclusive.
The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.
Answer:
Domain=All Real Numbers Range=y>2
Step-by-step explanation:
Since the graph expands infinitely across the x axis it is all real numbers
Since the Y covers all the numbers above 2 it is y>2
What is equal to d? I’m sorry but I need help.
Identify next 3 numbers in this sequence 2,6,3,9,6,18,15
A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
A 6: 11
B 11 : 6
C 3:11
D 11:3
Answer:
A
Step-by-step explanation:
ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?
Answer:
42
It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.
But at least its correct.
Ms. Smith still have 42 ounces of candy in her bag.
What is Subtraction?To subtract means to take away from a group or a number of things.
Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.
1 pound = 16 ounces
She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds
3 pounds = 16*3 ounces = 48 ounces
She ate 6 ounces of candy
Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.
Hence, Ms. Smith still have 42 ounces of candy in her bag.
For more references on Subtraction, click;
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Simplify the following expression.
5.3x − 8.14 + 3.6x + 9.8
A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66
Answer:
D
Step-by-step explanation:
5.3x − 8.14 + 3.6x + 9.8
group the numbers on one side and the x's on the other
5.3x + 3.6x - 8.14 + 9.8
solve
8.9x + 1.66
Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying a scarves what do the parts of the expression 48s represents
The expression 48s represents the cost of the scarves.
Given
Emiko makes Shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves.
Let s represent the price of the scarves.
The cost of each scarves is 48.
Therefore,
The cost of scarves = Number of scarves × cost of each scarves.
The cost of scarves = s × 48
The cost of scarves = 48s
Hence, the expression 48s represents the cost of the scarves.
To know more about Expression click the link given below.
https://brainly.com/question/18371860
Answer:In the expression 48s ,represents the number of scarves and 48 represents the price per scarf
Step-by-step explanation:
Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have
Answer:
72
Step-by-step explanation:
Stacy has 30 marbles
Let m= the number of marbles that mallory has
stacy has 1/2 m -6
30 = 1/2 m -6
Add 6 to each side
30+6 = 1/2m
36 = 1/2m
Multiply each side by 2
72 = m
Mallory has 72 marbles
Answer:
72
Step-by-step explanation:
I'm cool and the guy above me stinko
What is the measure of angle b?
Answer:
if those lines are parallel, then the m∠ = 92°
Step-by-step explanation:
The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.
Maria makes money
by commission rates.
She gets 15% of
everything she sells. If
Maria sold $23,000
worth of items this
month, what is her
salary for the month?
Show your work on
the slide!
Answer:
Monthly salary = $3450
Step-by-step explanation:
In this problem, it is given that, Maria gets 15% of everything she sells. If Maria sold $23,000 worth of items this month, we need to find her salary for the month.
It means we need to find the 15% of $23,000 to find her salary. Let the salary be x.
ATQ,
[tex]x=15\%\ \text{of}\ 23000\\\\x=\dfrac{15}{100}\times 23000\\\\x=\$3450[/tex]
Hence, her salary for the month is $3450.
Salary of Maria for the month is $3,450
Given that;
Amount of item sold by Maria = $23,000
Percentage of commission = 15%
Find:
Salary of Maria for the month
Computation:
Salary of Maria for the month = Amount of item sold by Maria × Percentage of commission
Salary of Maria for the month = $23,000 × 15%
Salary of Maria for the month = $3,450
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https://brainly.com/question/19193145?referrer=searchResults
i’ll literally give you 45 points but please answer it correctly i have a D in math class
I wrote out the answers on top of the sheet. Hope this helped!
the set
of whole number less than 20
Answer:
maybe 3, 6, 9, 12, 15, 18?
Step-by-step explanation:
sorry if this doesn't help but I hope someone else can help you! good luck
(x+5) (x+4) give me the answers quick please
[tex] \red { \orange {\boxed {\boxed{Answers}}}}[/tex]
[tex] = (x + 5)(x + 4)[/tex]
[tex] = {x}^{2} + 4x + 5x + 20[/tex]
[tex] = {x}^{2} + 9x + 20[/tex]
If f(x) and its inverse function, f'(x), are both plotted on the same coordinate plane, what is their point of
intersection?
Answer:
The plot coordinates are (3,3).
Step-by-step explanation:
Given:
A function f(x) and its inverse is f-1(x)
To find :
The plot of the coordinates for the intersection.
Solution:
Now we know that inverse function is changing the y=f(x) and then
changing to x to y and y to x
So given function is f(x)
Inverse function is y,
But value of inverse function is f-1(x)
So y=f(x)=f-1(x)
Therefore it becomes
y=x
Hence the value is y=x coordinates
Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent
change from last year to this year?
A
An increase of 10%
B
A decrease of 10%
С
An increase of 20%
D
A decrease of 20%
Answer:
C. An increase of 20%
Step-by-step explanation:
50/100 = 60/x
Cross products
50 x = 6000
Divide 50 by both sides
x = 120
60 is 120% of 50, so there is a 20% increase
Hope this helps!
-Jerc
Free pints get it lolololo
Answer:
Yayee
Step-by-step explanation:
A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
Can you please add a step by step
Answer:
4.8
Step-by-step explanation:
15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8
Answer:
4.8 meters
Step-by-step explanation:
[tex]\frac{15}{6} = 2.5[/tex] 12 ÷ 2.5 = 4.8 metersI hope this helps!
On an architect's blueprint, 1 inch corresponds to 2 feet. Find the length of a wall represented by a line 2 1/2 inches long on the blueprint
in quadrilateral abcd below,
Answer: where is the quadrilateral
Step-by-step explanation:
A regional office of the Internal Revenue Service randomly distributes returns to be audited to the pool of auditors. Over the thousands of returns audited last year, the average amount of extra taxes collected was $356 per audited return. One of the auditors, Jeffrey Jones, is suspected of being too lenient with persons whose returns are being audited. For a simple random sample of 30 of the returns audited by Mr. Jones last year, an average of $340 in extra taxes was collected.
Required:
Assuming a normal population of extra taxes collected with a standard deviation of $90, do the suspicions against Mr. Jones appear to be justified?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 356[/tex]
The sample size is n = 30
The sample mean is [tex]\= x = \$340[/tex]
The standard deviation is [tex]\sigma = \$ 90[/tex]
The null hypothesis is [tex]H_o : \mu = \$ 35 6[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne \$ 35 6[/tex]
Let assume the significance level is [tex]\alpha = 0.05[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]
=> [tex]t =-0.9737 [/tex]
Generally the sample size from the question is small that it is not greater than 30 hence we use t-test
Now the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 30- 1[/tex]
=> [tex]df= 29[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P (t > -0.9737 )[/tex]
Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of [tex]df= 29[/tex] for a two -tailed test is
[tex]P (t > -0.9737 ) = 0.33825793[/tex]
Hence p-value is
[tex]p-value = 2*0.33825793[/tex]
[tex]p-value = 0.676 [/tex]
From the value we obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified
Express the percent as a decimal. { 98% }
Answer:
98.
Step-by-step explanation:
Answer:
0.98 would be the 98% as a decimal
People living in a society where one person rules by force have which type of government?
Answer:
An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.
Hope this helps please give me brainliest!
God bless!
An autocracy.
An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.
A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level?
I think the answer is -51
oliver runs a mile in 6 minutes. he left his house and ran 2 miles north, 3 miles east, then run back to his house. what was the total distance of olivers run
Answer:
10 miles
Step-by-step explanation:
You add 2+3+2+3 which equals 10. The information about him running a mile in 6 minutes is completely irrelevant, they did that to confuse you.
You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Answer:
110d + 80 > 1620
d > 14
Step-by-step explanation:
The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d
Add 80 to this to represent the bonus points.
Use a greater than inequality, because you have to get more than 1620 points.
Put this all together:
110d + 80 > 1620
Then, solve for d:
110d + 80 > 1620
110d > 1540
d > 14
So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.
|2x+5|-4=16 find both answers
Answer:
x=7.5 and x=-12.5
Step-by-step explanation:
|2x+5|-4=16
|2x+5|=20
2x+5=20
2x=15
x=7.5
2x+5=-20
2x=-25
x=-12.5
HELP ME PLSSS SOMEONE HELPP ILL GIVE BRAINLIEST
tom sold 3 cars ( a total value of $112,500) in the month of january. it is paid only by commission for its seller. he receives a commission of 7%. what is tom’s salary for the month of january?
Answer:
First multiply 112,500 times 3 (because of the 3 cars) answer should be $337,500
Then do the percentage (7%) $23,625
I believe that 23625 is the answerrr
Round 34,138 to the nearest thousand??
Answer:
34,138 to the nearest thousand is 34,000!
Step-by-step explanation:
Hope this helps! Good luck! <3
Answer:
0
Step-by-step explanation: