Answer:
-6
Step-by-step explanation:
[tex]y = 7x - 6 \\ \\ equating \: it \: with \\ \\ y = mx + b \\ \\ b = - 6 \\ y - intercept = - 6[/tex]
a polygon has 10080° as the total interior angle how many sides has the polygon
The formula for the sum of the interior angles of a polygon is (n - 2) * 180. In this formula, N is the number of sides. So, to find the number of sides that a polygon with an interior angle measure of 10080 has, we'll set the formula equal to 10080.
10080 = (n - 2) * 180
Divide both sides by 180
56 = n - 2
Add 2 to both sides
n = 58
Hope this helps!! :)
Answer:
58 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is 10,080°
n = the number of sides
(2n - 4)90 = 10080
2n - 4 = 10080/90 = 112
2n = 116
n = 58.
The temperature of a piece of metal was 32°C. It was then lowered into a glass of
hot water and the temperature of the piece of metal rose to 36°С. Find the
percentage increase in the temperature of the piece of metal.
Answer:
12.5%
Step-by-step explanation:
Given that,
Initial temperature of a piece of metal = 32°C
Final temperature of the piece of metal = 36°С
We need to find the percentage increase in the temperature of the piece of metal. The percentage increase in any value is given by the relation as follows :
[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{36-32}{32}\times 100\\\\=12.5\%[/tex]
So, the required percentage increase in the temperature of the piece of metal is equal to 12.5%.
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces? Round your answer to 4 decimal places.
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces? Round your answer to 4 decimal places.
Answer:
a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 8.0 ounces and a standard deviation of 1.1 ounces.
This means that [tex]\mu = 8, \sigma = 1.1[/tex]
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?
[tex]n = 5[/tex] means that [tex]s = \frac{1.1}{\sqrt{5}} = 0.4919[/tex]
This probability is the pvalue of Z when X = 9.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9.3 - 8}{0.4919}[/tex]
[tex]Z = 2.64[/tex]
[tex]Z = 2.64[/tex] has a pvalue of 0.9959
0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?
[tex]n = 6[/tex] means that [tex]s = \frac{1.1}{\sqrt{6}} = 0.4491[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 9. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9 - 8}{0.4491}[/tex]
[tex]Z = 2.23[/tex]
[tex]Z = 2.23[/tex] has a pvalue of 0.9871
1 - 0.9871 = 0.0129
0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
answer this for brainliest answer
Answer:
exact form of n=3/2
decimal form of n=1.5
mixed number form of n= 1 1/2
Question 4 Multiple Choice Worth 1 points)
(05.02 LC)
Find the measure of angle x in the figure below
A - 65°
B - 70°
C - 110°
D - 125
Answer:
B because 180 - 55 +55 u get 70 due to opposite sides x us also 70
Answer:
x=180-55-55=180-110=70° is your answer
Matthew and Lizbeth are college students. Matthew has $87 in his bank account. He spends $45 on groceries. He deposits $30 into his account. Then he spends $112 on books for school. Lizbeth has $41 in her bank account. She deposits $50 into her account. Lizbeth says that if she spends $130 on books she will have a greater debt than Matthew. Show are explain why Lizbeth's thinking is correct or incorrect. Enter your work or explanation in the box provided.
Answer:
$365
Step-by-step explanation:
did the math
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
Write your answer in the form a|x–h|+k, where a, h, and k are integers.
Answer:
g(x) = |x - 2| - 9
Step-by-step explanation:
Translations of a function f(x):
Translation of f(x) by a units to the right is given by f(x - a).
Translation of f(x) by a units to the left is given by f(x + a).
Translation of f(x) by a units down is f(x) - a
Translation of f(x) by a units up is f(x) + a
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
2 units right: f(x - 2) = |x - 2|
9 units down: f(x - 2) - 9 = |x - 2| - 9
The answer is: g(x) = |x - 2| - 9
A baby girl weighed 6 pounds at birth and 8
pounds one month later. How many ounces
did the baby gain in her first month of life?
A. 16 ounces
В.
64 ounces
C. 32 ounces
D. 48 ounces
Answer: C
Step-by-step explanation:
1 pound is equivalent to 16 ounces. She earned 2 pounds in 1 month, meaning that you have to multiply 16 times 2, which gives 32 ounces. Hope this can help you! Have a great day/night!
which of the following is an identity?
Answer:
B
Step-by-step explanation:
Tanx=sinx/cosx
Cotx=cosx/sinx
I NEED AN ASNWER ASAP!!!!
Which inequality is represented by this graph?
x greater-than negative 53
x less-than-or-equal-to negative 53
x less-than negative 53
x greater-than-or-equal-to negative 53
Answer:
X is greater than negative 53
X+3y=-2
3x+4y=-6
USE SYSTEMS BY SUBSTITUTION.
X=
Y=
Answer:
X=-2
Y=0
Step-by-step explanation:
X+y=-2 = x=-2-y
3x+4y=-6
3(-2-y)+4y=-6
-6-3y+4y=-6
y=0
x+3(0)=-2
x=-2
Answer:
[tex]\boxed {\boxed {\sf (-2,0)}}[/tex]
Step-by-step explanation:
To solve by substitution we must first isolate 1 variable in an equation.
Let's use the first equation.
[tex]x+3y= -2[/tex]
Subtract 3y from both sides to isolate the variable x.
[tex]x+3y-3y= -2 -3y[/tex]
[tex]x= -2 -3y[/tex]
Now we can substitute the expression (-2-3y) in for x in the second equation.
[tex]3x+4y= -6[/tex]
[tex]3(-2-3y)+4y= -6[/tex]
Distribute the 3. Multiply each term inside the parentheses by 3.
[tex](3*-2)+ (3*-3y)+4y=-6\\-6-9y+4y=-6[/tex]
Combine the like terms on the left side.
[tex]-6-5y= -6[/tex]
Add 6 to both sides to isolate the variable.
[tex]-6+6-5y=-6+6\\-5y=0[/tex]
Divide both sides by -5.
[tex]-5y/-5=0/-5 \\y=0[/tex]
Now we know that y is equal to 0 and can substitute it into the first equation and find x.
[tex]x+3(0)=-2[/tex]
[tex]x+0=-2 \\x= -2[/tex]
x is equal to -2 and y is equal to 0.
what is the standard form of y= 2/3x + 6
Answer: 2x/3 +6
Step-by-step explanation: You have to combine 2/3 and x to get 2x/3+6
The graphs give the prices of different sizes of TVs available in the market. Which graph contains the line that best fits the given data and shows a positive association?
Answer:
3.05kilograms to grams
Answer: it’s graph D
:)
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far, she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.
Complete question is;
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far
she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.
Let a represent the number of hours that have elapsed since Zac started traveling. Let y represent the number of miles traveled. Write a system of linear equations that represents the distance each of them has traveled since Zac left on his trip.
Assume Zac and Lynn continue to travel at the same constant rates and make no stops.
Determine the solution of the system of linear equations.
Answer:
Zac: y = 55a
Lynn: y = 60(a - ½)
6 hours after Zac started traveling, both Zac and Lynn would have covered 330 miles each.
Step-by-step explanation:
Zac has traveled 123.75 miles in 2.25 hours. Since he travels at constant speed, we can say;
zac's speed = 123.75/2.25 = 55 mi/hr
Similarly, Lynn traveled 105 miles in 1.75 hours. Thus, since she travels at a constant speed;
Lynn's speed = 105/1.75 = 60 mi/hr
Now, we are told that a represents the number of hours that have elapsed since Zac started traveling and y represents the number of miles traveled.
Thus;
a hours after Zac started travelling, his distance covered will be;
Zac: y = 55a
Now,for Lynn, since she started ½ an hour after Zac, it means a hours after Zac started, she had traveled (a - ½) hours.
Thus, Lynn's distance traveled after Zac started = 60(a - ½)
Lynn: y = 60(a - ½)
The solution will be when they have travelled equal distances a hours after Zac started. Thus;
55a = 60(a - ½)
55a = 60a - 30
60a - 55a = 30
5a = 30
a = 30/5
a = 6 hours
Putting 6 for a in y = 55a, we have;
y = 55 × 6
y = 330 miles
The first is 4 inches wide and 15 inches long. The second is 9 inches wide. Find the length of the second rectangle. A 6.67 inches B 2.4 inches C 41 inches D 33.75 inches
Answer:
D - 33.75
Step-by-step explanation:
If the rectangles are similar, then you can use this cheat:
Width:
9/4 = 2.25
2.25 is the scale factor between the two rectangles.
Using the new-found scale factor, you can do this:
15 x 2.25 = 33.75
This means the length on the second rectangle is 33.75 inches long.
Hoping this helps you! :)
Bailey works at the donut shop and saves 10% of each paycheck. She put $12.50 into her savings account out of her most recent paycheck. What was the amount of
Bailey's most recent paycheck?
$1250.00
Answer:
125$
Step-by-step explanation:
1250/10=125
Answer:
$125
Step-by-step explanation:
$1250 ÷ 10 = $125
Which equation represents a line with slope -1/2
that passes through (-3, 4) ?
Answer:
y=-1/2x+5/2
Step-by-step explanation:
y-4=-1/2(x-(-3))
y-4=-1/2(x+3)
y-4=-1/2x-3/2
y=-1/2x-3/2+4
y=-1/2x+5/2
Help me plzzzzzzzzzZzzzzzzzzzZ
Answer:
Option A is correct answer..
Pls sandhya se baat karado yaar ,
nhi to mai mar jaunga .
Pls sandhya baat karlo na yaar .
ʜᴀᴠᴇ ᴀ ɢᴏᴏᴅ ᴅᴀʏ
❥︎ ʏᴜɢᴀʟᵇᵒˢˢ!
Answer:
its A
Step-by-step explanation:
Complete the equation of the line whose slope is -2 and y-(0,8)
Answer:
Equation: y = -2x + 8
Step-by-step explanation:
REMEMBER: The slope intercept form is y - mx + b. In slope intercept form, m is the slope and b is the y-intercept.
I need help with part b and c, I did a already
Answer:
a) V = 35.1 in.^3
b) V = 288 pi in.^3
c) h = 2.7 in.
Step-by-step explanation:
a)
radius of base = 2 in.
height = 8 in.
volume of cone = (1/3)(pi)(r^2)h
V = (1/3)(pi)(2 in.)^2(8 in.)
V = 35.1 in.^3
You are correct.
b)
You must leave the answer in terms of pi, so do not use 3.14 or another approximation for pi.
radius of base = 6 in.
height = 24 in.
volume of cylinder = (pi)(r^2)h
V = (1/3)(pi)(6 in.)^2(24 in.)
V = 288 pi in.^3
c)
volume = 288 pi in.^3
radius = 18 in.
288 pi in.^3 = (1/3)(pi)(18 in)^2 h
288 in. = (1/3)(324)h
288 in. = 108h
h = 2.666 in.
h = 2.7 in.
Can anyone help me I will really appreciate it.
Answer:
-9 = Yes
8 = Yes
-8 = Yes
9 = No
PLEASE HELP ASAP is this relationship linear, exponential, or neither?
Answer:
neither
gfhhhufkufjkg
Can someone tell me what x equals!
Answer:
12
Step-by-step explanation:
hope u find this helpfull
Answer:
Step-by-step explanation:
x = 12
the triangle was made smaller (i forget what the term is)
it was made smaller by [tex]1\frac{1}{3}[/tex]
to find that you divide 24 by its equivalent side on the other triangle which would be 18
24 / 18 = [tex]1\frac{1}{3}[/tex]
to find what x is equal to you have to find the equivalent side on the other triangle. this would be 16. since the triangle with 16 is bigger the equation is:
16 / [tex]1\frac{1}{3}[/tex] = 12
so x = 12
There were 5 girls to every boy that attended the Spring Semester Mixer last year. At this rate, how many attended the mixer if 150 girls attended the mixer,
Answer:
150:30
Step-by-step explanation:
It's essentially saying 5:1, 5 girls to one boy.
so with this in mind.
150:x
150/5
30
therefore
150:30
Answer:
30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )
Step-by-step explanation:
1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.
Thats it lol.
Btw can I have brainliest if I got it correct please?
Question 6 of 10
Which of the following appear in the diagram below?
Check all that apply.
zd
ОА. Иму
B. Y
I C. ZXYZ
OD. ZYXZ
SUBMIT
PREVIOUS
Answer:
83 dz
Step-by-step explanation:
yeahlets bbzkalaamN
The graphs of two linear equations are shown.
y = 3x – 3
y= 2x - 8
Which is the solution of this system of equations?
What is the slope of a line perpendicular to the line whose equation is
X+ 3y = –15. Fully simplify your answer.
PLEASEE help 10 points?
Answer:
3
Step-by-step explanation:
картопля містить 20 % крохмалю. скільки картоплі потрібно для одержання 12 кг крохмалю
Answer:
Для виготовлення 1 кг крохмалю потрібно 6 кг картоплі.Скільки крохмалю одержали з 30 кг картоплі. только пожалуйста условие задачи а не ее решение
Step-by-step explanation:
Complete the equation of the line through (-10.-7) and (5.9).
15 POINTS PLEASE
Answer:
y=16/15x-11/3
Step-by-step explanation:
(9--7)/(5--10)
slope = 16/15
y=16/15(x)+b
-9=(16/15)(-5)+b
b=-11/3
A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 6 feet
in length. How many 18-inch pieces can the dressmaker cut from 10 of these rolls of
ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in
total?