The slope of the line is -5/2
Slope m = -5/2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of the line be A
Now , the equation of line is expressed as
5x + 2y + 9 = 0
Now , the equation of line is expressed in the form y = mx + c
5x + 2y + 9 = 0
Subtracting 9 on both sides of the equation , we get
5x + 2y = -9
Subtracting 5x on both sides of the equation , we get
2y = -5x - 9
Divide by 2 on both sides of the equation , we get
y = ( -5/2 )x - 9/2
So , the slope of the equation is y = mx + c
The slope of the line is m
The slope is m = -5/2
Hence , The slope of the line is -5/2
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Suppose that the amount of time teenagers spend weekly working at part-time jobs is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn, and each reported the amount of time spent at part-time jobs (in minutes). These are listed here. Determine the 95% confidence interval estimate of the population mean.
Complete Question
Suppose that the amount of time teenagers spend weekly working at part-time jobs is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn and each reported the amount of the time spent at part-time jobs (in minutes). These are listed here 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125. Determine the 95% confidence interval estimate of the population mean.
Answer:
The 95% confidence interval is [tex] 127.09 < \mu < 167.57 [/tex]
Step-by-step explanation:
From the question we are told that
The standard deviation is [tex]\sigma = 40[/tex]
The sample size is n = 15
The data given is 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{ \sum x_i}{n }[/tex]
=> [tex]\= x = \frac{ 130 + 150 + \cdots + 125 }{ 15 }[/tex]
=> [tex]\= x = 147.33[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{40}{\sqrt{15} }[/tex]
=> [tex]E =20.24 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex] 147.33 -20.24< \mu < 147.33 + 20.24 [/tex]
[tex] 127.09 < \mu < 167.57 [/tex]
I WILL MARK BRAINIEST
Answer:
x=20
4=140
1=40
Step-by-step explanation:
7x=2×+100
5×=100
×=20
4=7(20)=140
1=180-140=40
Answer:
x=20
m<4=140
m<1=40
Step-by-step explanation:
to figure out angle 1 just subtract 140 from 180
Hi! I just need somebody to explain how this is done.
I don’t understand the process of this well and I cant find many videos that explain it. thanks!
Answer:
Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]
Rounded to the Nearest Tenth: x = 12.9
Step-by-step explanation:
In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle
In the given figure
∵ ∠C is the right angle
∴ ΔACB is a right triangle
∵ m∠B = 57°
∵ AC = 10.8
∵ AC is the opposite side of ∠B
∵ AB is opposite to the right angle
∴ AB is the hypotenuse
∵ AB = x
→ We can use the function sine to find x
∵ sin∠B = [tex]\frac{opposite}{hypotenuse}[/tex]
∴ sin∠B = [tex]\frac{AC}{AB}[/tex]
→ Substitute the values of ∠B, AC, and AB in the rule of sine above
∴ sin(57°) = [tex]\frac{10.8}{x}[/tex]
→ By using cross multiplication
∵ x × sin(57°) = 10.8
→ Divide both sides by sin(57°)
∴ x = [tex]\frac{10.8}{sin(57)}[/tex]
∴ x = 12.87752356
→ Round your answer to the nearest tenth
∴ x = 12.9
Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]
Rounded to the Nearest Tenth: x = 12.9
This is my question it is in the screen shot please help me.
Seven more than a number, x, is at most 20
Answer:
x+7 ≤ 20
Just take it step by step:
seven more than a number is a number plus 7 (x+7)- keep in mind we dont know what the number is so we use x to represent the number.
it then says it's equal to at most 20.
This means that it cant equal anything above 20 since 20 is the max. Therefore, it must be 20 and below that x+7 equals
x+7≤ 20
≤ -this symbol means less than or equal to
Step-by-step explanation:
When you divide 7.7 by 700, how many decimal places will the quotient have?
A bakery baked 16 pies in preparation for Thanksgiving. 3/4 of the pies were already sold. How many pies have been sold?
Answer:
12
Step-by-step explanation:
We have to find 3/4 th of 16
So it's 3/4 * 16 = 12
PLS ANWSER QUICK TIMED ASSIGNMENT
Which equation represents a circle with a center at (2,-8) and a radius of 11
(x-8)^2+(y+2)^2=11
(x-2)^2+(y+8)^2=121
(x+2)^2+(y-8)^2=11
(x+8)^2+(y-2)^2=121
The second one, because when you square the right side of the equation you get 11 which is your radius. On the right side you get 2,-8 when you solve for the radius. aka solve for x and y
you have a bill of $100. find a 10% tip?
Answer:
10 bucks
Step-by-step explanation:
Answer:
$10
Step-by-step explanation:
10%=0.1
100*0.1=10
$10
20 less than the sum of eight and a number?
Answer:
(8 + x) - 20
Step-by-step explanation:
Answer:
The answer is (8 + x) - 20
Step-by-step explanation:
Amy has 9 cups of flour. If this is 3/4 of the amount she needs to make cake, how many cups does she need?
ugh sorry no answer.. my answer is wrong..
Which method could be used to prove they are similar?
1.5
3
4.5
Jy
Answer:
Prove what is similar?????
Calculate the average speed of a train that
completed a 525 km trip in 4.7 h. Round
your answer to the nearest whole number.
Answer:
4
Step-by-step explanation:
$24,000 for new Honda, 2.75% interest rate for 4 years. What is the monthly payment? ( Explanation needed)
Answer:
(Use the attached formula)
24,000 for 4 years (48 months) at 2.75% interest
We divide rate by 1,200 which equals 0.0022916667
Monthly Payment = 0.0022916667 + {(0.0022916667 / [(1.0022916667)^48 -1]} * 24,000
Monthly Payment = 0.0022916667 + (0.0022916667 / (1.1161375981 -1) * 24,000
Monthly Payment = [0.0022916667 + (0.0022916667 / 0.1161375981 ] * 24,000
Monthly Payment = [0.0022916667 + 0.0197323411 ] *24,000
Monthly Payment = 0.0220240078 * 24,000
Monthly Payment = 528.5761872 = 528.58 (rounded)
Step-by-step explanation:
Alina wants to make some yummy sugar cookies today!
The recipe written in her book is:
2 3/4 cup flour + 1 cup butter + 1 1/2 cup sugar + 1 egg + 1 tsp baking soda + 1/2 tsp baking powder = 24 cookies
But Alina has the following ingredients in her kitchen: 9 cups flour, 5 cups butter, 4.5 cups sugar, 8 eggs and a excess of baking soda and powder.
1. How many cookies can she make?
2. Which ingredient is her limiting reactant?
3. Besides, baking soda and powder, how many of each reactant will be left over in her kitchen?
Answer:
3.2
Step-by-step explanation:
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages.
Answer: There are 210 pages that ty read in 6 hours.
Step-by-step explanation:
can someone please help just for a sec and help me with these questions. -7x = -91 and
0.5x + 1.75 = 10 and last one is
0.75h + 3 = 12
Answer:
13, 16.5, 12
Step-by-step explanation:
-7x= -91 divide both sides by -7 to isolate x
[tex]\frac{-7}{-7} x=\frac{-91}{-7}[/tex] any number divided by itself like in -7/-7 =1
x=13
0.5x + 1.75 = 10 subtract 1.75 from both sides
0.5x +1.75-1.75 =10 -1.75
0.5x = 8.25 divide by 0.5 both sides
[tex]\frac{0.5}{0.5} x=\frac{8.25}{0.5}[/tex]
x=16.5
0.75h +3=12 subtract 3 from both sides
0.75h = 12-3 divide both sides by 0.75
[tex]h= \frac{9}{0.75}[/tex] = 12
What is the scale factor for the dilation of triangle ABC to produce triangle A’B’C’?
0.25, 0.5, 2, 3
What is the scale factor for the dilation of triangle ABC to produce triangle A’’B’’C’’?
0.25, 0.5, 2, 3
Answer:
.5 for the first blank
2 for the second blank
Whar is the square root of 9604?
Answer:
98
Step-by-step explanation:
the square root of 9604 is 98 which lie between 97 and 99
What is the equation?
Answer: y= 2x + 2
Step-by-step explanation:
select the correct answer(click the photo)
Answer:
B.
General Formulas and Concepts:
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define function
f(x) = 8x + 4
Step 2: Prep
Rewrite: y = 8x + 4Swap x and y: x = 8y + 4Step 3: Find Inverse (Solve for y)
Subtract 4 on both sides: x - 4 = 8yDivide both sides by 8: (x - 4)/8 = yRewrite: y = (x - 4)/8Rewrite: f⁻¹(x) = (x - 4)/8What is a number greater than 260 that rounds to 260
Answer:
263 (if u round to the nearest tens)
Step-by-step explanation:
Answer:
261, 262, 263, 264
Step-by-step explanation:
They are all higher and if you go to 5+ you round up.
HELP PLZZZ i need it plz
Find the value of n. 103 × n = 630 The value of n is .
Answer:
The answer would be n=6.11
Step-by-step explanation:
The answer would be n=6.125
It is asking for the value of a variable, in this case, the variable is "n" and it can be found by isolating it on one side of the equation using basic mathematical operations such as division, multiplication, addition and subtraction. The question is asking to find the value of n, by solving the equation 103*n = 630.
To find the value of n, we can divide both sides of the equation by 103.
103 * n = 630
n = 630/103
n = 6.125
Therefore, The value of n is 6.125
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What is the constant proportionality in the table below?
Answer:
1/2
Step-by-step explanation:
Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2
John wants to make a triangular garden. Which of the following are possible dimensions?
Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out
2:5 =4: ?
Answer
Explain
help please I’m struggling badly because Im bad at math
Answer:
40º
Step-by-step explanation:
if u look at the triangle it would show you
Answer:
40 degrees
Step-by-step explanation:
since JKM is congruent to PQR then,
Q is congruent to K so they have the same measure.
Solve the equation -11<-x+2<3
Answer:
13 > x > -1
Step-by-step explanation:
-11 < -x + 2 < 3
~Subtract 2 both sides
-13 < -x < 1
~Divide -1 to both sides
13 > x > -1
Best of Luck!
For every 2 hours, approximately $1,689 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
1,01340 cuase 1,689 times 2 equal 3,378 and times 30 equal 101340