Answer:
n=3
Step-by-step explanation:
9 x -1 x n = 9 x -3
-9n=-27
9n=27
n=27/9
n=3
So value of n is 3
Find the value of y so that y + 3, 4y + 1,
8y - 3 is an arithmetic progression.
A. 2
B. 3
C. 4
D. 5
E. 6
Answer:
A
Step-by-step explanation:
The common difference d in an arithmetic sequence is
a₂ - a₁ = a₃ - a₂ , substitute values
4y + 1 - (y + 3) = 8y - 3 - (4y + 1) ← distribute both sides and simplify
4y + 1 - y - 3 = 8y - 3 - 4y - 1
3y - 2 = 4y - 4 ( subtract 3y from both sides )
- 2 = y - 4 ( add 4 to both sides )
2 = y → A
The snow is now 52 inches deep. If this was a 77%
decrease, what was the initial depth
Answer:
29.3785310734 is the exact answer but you can estimate
Step-by-step explanation:
Let’s say the initial depth was 100%.
A 77% decrease would mean that 77% of the 100% was added to the hole so then it final result would be 177% of the initial hole which is also 52 as given. 177% is the same as 1.77 so we would divide 52 by 1.77 to get that x = 29.3785310734. Still confusing? Just look here:
What is the slope of the line?
need someone’s help with this please!!!
I'll give brainiest. A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.
Answer:
4
Step-by-step explanation:
64 divided by 16 is 4.
To check your answer, you can always add the top: 20+4 which is 24, and multiply that by 16: which is 384-the total number of seats.
Which expressions correctly show "the sum of the product of 3 and 8 and the product of 12 and 2"? Select two that are correct. *
3 + 8 + 12 + 2
(12 × 2) + (3 × 8)
3 × 8 × 12 × 2
(3 + 8) × (12 + 2)
(3 × 8) + (12 × 2)
Answer:
The two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)Step-by-step explanation:
Let 'a' and 'b' be the two numbers.
When we say the product of 'a' and 'b', it
algebraically means: a × bLet 'c' and 'd' be the two numbers.
When we say the product of 'c' and 'd', it
algebraically means: c × dAnd when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:
(a × b) + (c × d)
or
(c × d) + (a × b)
as
(a × b) + (c × d) = (c × d) + (a × b)
So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".
It algebraically means:
(12 × 2) + (3 × 8)
or
(3 × 8) + (12 × 2)
as
(12 × 2) + (3 × 8) = 24 + 24 ∵ 12 × 2 = 24, 3 × 8 = 24
= 48
(3 × 8) + (12 × 2) = 24 + 24 ∵ 3 × 8 = 24, 12 × 2 = 24,
= 48
Therefore, the two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)A brand of light bulbs has a mean lifetime of 1,500 hours and a standard deviation of 150 hours. A sample of 100 light bulbs gave a mean lifetime of 1,400 hours. What is the margin of error for the sample?
Answer:
15
Step-by-step explanation:
Given that:
Mean (μ) = 1500
Standard deviation (σ) = 150
Sample size = 100
Mean (m) = 1400
Margin of Error of sample :
Standard deviation / √sample size
σ / √n
150 / √100
150 / 10
= 15
help me solve this please!
Answer:
Step-by-step explanation:
30°-60°-90° k-k√3-2k
y =9√3
x=18
Answer: The value of x is 18 and the value of y is 9√3.
Step-by-step explanation:
1. 30°-60°-90°
2. k-k√3-2k
Mr. Kim paid $360 in interest in one year for his $4,000 car loan. Using the formula for simple interest, what was the rate of interest?
Answer:
The rate of interest is 9%.
Step-by-step explanation:
Given that the formula for simple interest is I = (P×R×T)/100 where I represents interest, P is principle, R is rate interest and T is number of years. So you have to substitute the values into the formula :
[tex]i = \frac{prt}{100} [/tex]
[tex]let \: i = 360,p = 4000,t = 1[/tex]
[tex]360 = \frac{4000 \times r \times 1}{100} [/tex]
[tex]36000 = 4000r[/tex]
[tex] \frac{36000}{4000} = r[/tex]
[tex]r = 9[/tex]
Jacob mixes ⅓ cup of yellow paint for every ⅕ cup of blue paint to make green paint. How many cups of yellow paint are needed for 1 cup of blue paint?
Answer:
[tex]\frac{5}{3}[/tex] cups
Step-by-step explanation:
Jacob mixes [tex]\frac{1}{3}[/tex] cup of yellow paint for every [tex]\frac{1}{5}[/tex] cup of blue paint to make green paint.
The ratio of yellow paint to blue paint = [tex]\frac{1}{3} : \frac{1}{5}[/tex]
= 5:3
[tex]\frac{1}{5}[/tex] cup of blue paint = [tex]\frac{1}{3}[/tex] cup of yellow paint
1 cup of blue paint = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{5}[/tex] cup of yellow paint
⇒ [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{5}[/tex]
⇒ [tex]\frac{5}{3}[/tex]
Hence, For 1 cup of blue paint needed [tex]\frac{5}{3}[/tex] cups of yellow paint.
I WILL MARK BRAINLIST
Answer:
a
Step-by-step explanation:
if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb witha mean of 130 and 27.3
Answer:
The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Step-by-step explanation:
Let X = weight of pilots.
It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.
Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:
[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]
Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Need help !!ILL GIVE BRAINLEST!
Answer:
Step-by-step explanation:
Whats the question???
When x = 19,
y = 209. Find
the value of x
when y = 143.
Answer:
13
Step-by-step explanation:
19=209
?=143
19*143
=2717
2717/209
=13
Gina Wilson unit 4 homework 10 parallel and perpendicular lines PLEASE HELP
Answer/Step-by-step Explanation:
To determine if segment AB and CD are parallel, perpendicular, or neither, calculate the slope of each.
✍️If the slope of AB and CD are the same value, then they are parallel.✅
✍️If the slope of one is the negative reciprocal of the other, then they are perpendicular.☑️
✍️If their slopes are different, or the slope of one is not the negative reciprocal of the other, then they are neither.❌
1. AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 13}{0 -(-2)} = \frac{-10}{2} = -5 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{10 -(-5)} = \frac{3}{15} = \frac{1}{5} [/tex].
☑️-5 is the negative reciprocal of ⅕, therefore segments AB and CD are perpendicular
2. AB formed by (3, 7) and (-6, 1)
CD formed by (-6, -5) and (0, -1)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{-6 - 3} = \frac{-6}{-9} = \frac{2}{3} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 -(-5)}{0 -(-6)} = \frac{4}{6} = \frac{2}{3} [/tex].
✅Segment AB and CD have the same slope value of ⅔. Therefore, they are parallel.
3. AB formed by (-6, 2) and (-2, 4)
CD formed by (-1, 11) and (5, -7)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{-2 -(-6)} = \frac{2}{4} = \frac{1}{2} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - 11}{5 -(-1)} = \frac{-18}{6} = -3 [/tex].
❌The slopes of Segments AB and CD are not the same (½ and -3). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
4. AB formed by (-3, 8) and (2, 3)
CD formed by (-4, 6) and (-8, 2)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 8}{2 -(-3)} = \frac{-5}{5} = -1 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 6}{-8 -(-4)} = \frac{-4}{-4} = 1 [/tex].
❌The slopes of Segments AB and CD are not the same (1 and -1). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
5. AB formed by (-8, -1) and (-4, 2)
CD formed by (0, -3) and (12, 6)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 -(-1)}{-4 -(-8)} = \frac{3}{4} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 -(-3)}{12 - 0} = \frac{9}{12} = \frac{3}{4} [/tex].
✅Segment AB and CD have the same slope value of ¾. Therefore, they are parallel.
6. AB formed by (6, 5) and (3, -1)
CD formed by (2, -5) and (-4, 7)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 5}{3 - 6} = \frac{-6}{-3} = 2 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-5)}{-4 - 2} = \frac{12}{-6} = -2 [/tex].
❌The slopes of Segments AB and CD are not the same (2 and -2). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
To determine if the given equations are parallel, perpendicular, or neither, ensure both equations are in the slope-intercept form, y = mx + b, where m is the slope.
7. 3x + 2y = 6 and y = -³/2x + 5
Rewrite the first equation in slope-intercept form
3x + 2y = 6
2y = -3x + 6
y = -3x/2 + 6/2
y = -³/2x + 3
The slope of the first equation is -³/2.
The slope of the second equation is -³/2.
✅Both equations have the same slope value of -³/2. Therefore, they are parallel.
8. 3y = 4x + 15 and 9x + 12y = 12
Rewrite both equations in slope-intercept form.
3y = 4x + 15
y = 4x/3 + 15/3
y = ⁴/3x + 5
And
9x + 12y = 12
12y = -9x + 12
y = -9x/12 + 12/12
y = -¾x + 1
The slope of the first equation is ⁴/3.
The slope of the second equation is -¾..
☑️-¾ is the negative reciprocal of ⁴/3. Therefore both AB equations are perpendicular.
9. 8x - 2y = 4 and x + 4y = -12
Rewrite both equations in slope-intercept form.
8x - 2y = 4
-2y = -8x + 4
y = -8x/-2 + 4/-2
y = 4x - 2
And
x + 4y = -12
4y = -x - 12
y = -x/4 - 12/4
y = -¼x - 3
The slope of the first equation is 4.
The slope of the second equation is -¼..
☑️-¼ is the negative reciprocal of 4. Therefore both AB equations are perpendicular.
10. 3x + 2y = 10 and 2x + 3y = -3
Rewrite both equations in slope-intercept form.
3x + 2y = 10
2y = -3x + 10
y = -3x/2 + 10/2
y = -³/2x + 5
And
2x + 3y = -3
3y = -2x - 3
y = -⅔x - 1
The slope of the first equation is -³/2.
The slope of the second equation is -⅔.
❌The slopes of the first equation and second equation are not the same (-³/2 and -⅔). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
11. -4y = -2x + 8 and 3x - 6y = 6
Rewrite both equations in slope-intercept form.
-4y = -2x + 8
y = -2x/-4 + 8/-4
y = ½x - 2
And
3x - 6y = 6
-6y = -3x + 6
y = -3x/-6 + 6/-6
y = ½x - 1
The slope of the first equation is ½.
The slope of the second equation is ½.
✅Both equations have the same slope value of ½. Therefore, they are parallel.
12. y = 8 and x = -1
The first equation is a horizontal line. The slope of am horizontal line is always zero.
The second equation is a vertical line. The slope of a vertical line is undefined.
❌Therefore, they are neither parallel nor perpendicular.
what is the distance between (2,7) and(4,2)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]d = \sqrt{ ({2 - 4})^{2} + ({7 - 2})^{2} } [/tex]
[tex]d = \sqrt{ ({ - 2})^{2} + ({5})^{2} } [/tex]
[tex]d = \sqrt{4 + 25} [/tex]
[tex]d = \sqrt{29} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which of the following sequences of transformations is used to obtain figure T′U′V′W′ from TUVW? (4 points)
a
Reflection about the y-axis followed by a translation left by 2 units
b
Reflection about the x-axis followed by a translation left by 2 units
c
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
d
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
Answer: a (reflection over y-axis, followed by a translation of 2 units left)
Step-by-step explanation:
is × = 5 a solution to the equation 19 - × = 14
Answer:
19 - 5 = 14
Step-by-step explanation:
this answer is correct
JKL and LMN are shown.
What is m
Answer:
<KJL is 54.
Step-by-step explanation:
K=72
180-72=108
J and L are congruent, so 108/2 since there is 2 angles, 108/2 =54
KGL is 54.
The measure of ∠KJL = 54°
What is triangle?
A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given are triangle JKL and triangle LMN.
∠KJL = ∠KLJ
In ΔJKL -
72 + 2∠KJL = 180
2∠KJL = 108
∠KJL = 54°
Therefore, the measure of ∠KJL = 54°.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ5
A C B, X Z Y
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement.
If no, justify your answer.
Answer:
Yes.
∆CAB ≅ ∆XYZ by AAS Congruence Theorem.
Step-by-step explanation:
There's enough information provided in the diagram above for us to prove that ∆CAB is congruent to ∆XYZ.
From the diagram, we cam observe the following:
<A ≅ <Y
<B ≅ <Z
side CA ≅ XY
Using the Angle-Angle-Side (AAS) Congruence Theorem, since two angles, <A and <B, and a non-included side, CA, in ∆CAB are congruent to two the corresponding angles, <X and <Z, and a non-included side, XY, in ∆XYZ, then ∆CAB is congruent to ∆XYZ.
At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm?
Answer:
4:5
Step-by-step explanation:
The ratio will be 60 : 75
When simplified becomes 4:5
Suppose a local university researcher wants to build a linear model that predicts the freshman year GPA of incoming students based on high school SAT scores. The researcher randomly selects a sample of 40 sophomore students at the university and gathers their freshman year GPA data and the high school SAT score reported on each of their college applications. He produces a scatterplot with SAT scores on the horizontal axis and GPA on the vertical axis. The data has a linear correlation coefficient of 0.506701. Additional sample statistics are summarized in the table below. Sample Variable Sample standard deviation mean Variable description high school SAT score freshman year GPA x= 1504.291401 sx 105.782904 у y = 3.240805 Sy = 0.441205 r=0.506701 slope = 0.002113 Determine the y-intercept, a, of the least-squares regression line for this data. Give your answer precise to at least four decimal places. a =
Answer:
a = 0.0617
Step-by-step explanation:
Given That:
Relationship between GPA and SAT Scores :
Linear correlation Coefficient (r) = 0.506701
x= 1504.291401
Sx = 105.782904
y = 3.240805
Sy = 0.441205
The intercept (a) :
a = y - b(x)
b = slope of the regression line
b = r(Sy/Sx) ;
Hence,
b = 0.506701(0.441205 / 105.782904)
b = 0.506701(0.0041708)
b = 0.0021133485
Hence,
a = y - b(x)
a = 3.240805 - 0.0021133485(1504.291401)
a = 3.240805 - 3.1790919758662485
a = 0.0617130241337515
a = 0.0617
Hence, intercept = 0.0617
write the slope-intercept form of the equation of each line. identify the slopes y-intercept.
Answer:
1) -3,1
2)-4,4
3)4,4
4)-3,4
5)-2,-4
6)-4,1
7)-1,4
8)3,-3
The figure below shows total costs for three gym memberships. Which is the most accurate statement?
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Answer:
$432.9
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = $400, σ = $20
P(z > z*) = 0.05
P(z < z*) = 1 - 0.05 = 0.95
z* = 1.645
[tex]z=\frac{x-\mu}{\sigma} \\\\1.645=\frac{x-400}{20}\\\\x-400=32.9\\\\x=432.9[/tex]
Therefore $432.9 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05.
A path for a new city park will connect the park entrance to Main Street, as shown to the right. The path should be perpendicular to Main Street. What is an equation that represents the path?
Answer:
[tex] y = -\frac{1}{2}x + 3 [/tex]
Step-by-step explanation:
To create an equation in slope-intercept form, y = mx + b, for the path, we need to find slope (m) of the path, and also determine the y-intercept (b) of the path.
First, find the slope of the main street:
Using two points on the main street, (2, 3) and (3, 5),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{5 - 3}{3 - 2} = \frac{2}{1} = 2 [/tex]
Since the path would be perpendicular to the main street, therefore, the slope of the path would be the negative reciprocal of 2.
Thus, the slope of the path, m = -½.
The y-intercept of the path is the point at which the line of the path cuts across the y-axis.
The path intercepts the y-axis at y = 3. Therefore, the y-intercept (b) = 3.
Substitute m = -½, and b = 3 into [tex] y = mx + b [/tex].
✅The equation that represents the path would be:
[tex] y = -\frac{1}{2}x + 3 [/tex]
Answer:
its y=1/2x+4 lol the other guy was 1 off
Step-by-step explanation:
What happens to the particles in iodine when you increase
the temperature to 200 degrees Celsius?
Answer:
When you have iodine gas at 200 degrees, the temperature and thus pressure as so high, that when cooling down you enter the liquid phase. And when some of this gas then condenses, the pressure drops. So the remaining part of the gas can sublime.
Step-by-step explanation:
An electric company charges each of its customers a monthly fee of $19 to maintain the account and nine cents per kilowatt hour what is an equation that relates the monthly cost c in dollars of power consumed P in kilowatt hours 
Answer:
c = 19 + 0.09P
Step-by-step explanation:
The total cost is the $19 monthly fee plus the amount per hour.
c = 19 + 0.09P
Estimate the following sum by first rounding each decimal to the nearest hundred. Is the answer 800?
Which graph represents a function!!!!???? Pls help
Answer:
The 3rd one.
Step-by-step explanation:
A function needs to have an unique x for every y, This means there can't be 2 xs for a single y. The 3rd one is the only one that satisfies this condition.
