Answer:
y = -x.
Step-by-step explanation:
The slope of the line (m) = -1. ( because of the -x in y = -x - 5)
y - y1 = m (x - x1) where (x1, y1) is a point on the line, so we get;
y - 2 = -1(x - (-2))
y - 2 = -x + -1 * +2
y - 2 = -x - 2
y = -x.
What error, if any, did Noah make?
Answer:
breathing, jk buddy
Step-by-step explanation:
A motel has a policy of booking as many as 150 guests in a building that holds 140. Past studies indicate that only 85% of booked guests show up for their room. Find the probability that if the motel books 150 guests, not enough seats will be available.
Answer:
0.0015 = 0.15% probability that if the motel books 150 guests, not enough seats will be available.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex], if [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex].
150 guests booked:
This means that [tex]n = 150[/tex]
85% of booked guests show up for their room.
This means that [tex]p = 0.85[/tex]
Is the normal approximation suitable:
[tex]np = 150(0.85) = 127.5[/tex]
[tex]n(1-p) = 150(0.15) = 22.5[/tex]
Both greater than 10, so yes.
Mean and standard deviation:
[tex]\mu = E(X) = np = 150*0.85 = 127.5[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{150*0.85*0.15} = 4.3732[/tex]
Find the probability that if the motel books 150 guests, not enough seats will be available.
More than 140 show up, which, using continuity correction, is [tex]P(X > 140 + 0.5) = P(X > 140.5)[/tex], which is 1 subtracted by the p-value of Z when X = 140.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{140.5 - 127.5}{4.3732}[/tex]
[tex]Z = 2.97[/tex]
[tex]Z = 2.97[/tex] has a p-value of 0.9985.
1 - 0.9985 = 0.0015.
0.0015 = 0.15% probability that if the motel books 150 guests, not enough seats will be available.
Find the shortest distance from A
to C
in the diagram below.
9514 1404 393
Answer:
5√13 m
Step-by-step explanation:
The length of the space diagonal is the "Pythagorean sum" of the lengths of the edges of the cuboid.
AC = √(8² +6² +15²) = √325 = √(13·25)
AC = 5√13 . . . meters
__
AB is the hypotenuse of the right triangle with legs 6 and 8, so is 10 units. AC is the hypotenuse of right triangle ABC, so is ...
AC = √(AB² +BC²) = √(10² +15²)
If a triangular pyramid has a base area of 10ft and a height of 6ft, what is the volume?
. 20ft^3
. 40ft^3
.60ft^3
.80ft^3
.120ft^3
Answer: 20 ft³
Step-by-step explanation:
volume of triangular pyramid = [tex]\frac{1}{3} bh[/tex]
b = base area = 10 fth = height = 6 ftTherefore, the volume is:
[tex]\frac{1}{3} *10*6=\frac{1}{3}*60=\frac{60}{3}=20[/tex]
9(5x + 1) ÷ 3y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (ill give brainiest and if there is any troll answers I will report and take this down )
Answer
3y(5x+1)
Step-by-step explanation:
9*(5x+1)/3y
3(5x+1)y
Answer:
Step-by-step explanation:
sum: 5x + 1
factor: 3 which divides into 9 evenly
quotient: the answer to division: 9(5x + 1)/(3y) = 3(5x +1)/y
coefficent: this depends on what you have been told. In my day, there were two kinds of coefficents
numerical: 5 and 3
literal: x and y
Use the graph of the parabola to identify the domain and range of the function.
Answer:
C
Domain (-x,x): (-inf, inf)
Range (-y,y): [1, 0)
Step-by-step explanation:
Domain is -x to x which is the lowest x value marked to the parabola to the highest. Since their are arrows indicating that the parabola continues both ways, the domain is infinite both ways. The range has the endpoint of one and the continuation of 0 (you can tell by the brackets [], (), [), or (]; [ <- endpoint; ( or ) <- continuation), the range is [1, 0). :)
Find all complex solutions of 2x^2+x+6=0. (If there is more than one solution, separate them with commas.)
Answer:
x=-1/4+i*sqrt(47)/4 and x=x=-1/4-i*sqrt(47)/4
Step-by-step explanation:
Using quadratic formula, x=(-1±sqrt(1-48))/4.
x=-1/4+i*sqrt(47)/4 and x=x=-1/4-i*sqrt(47)/4
Answer:
If you do not understand any steps, please feel free to comment down below.
Sketch a linear graph given the following key features
Answer:
Step-by-step explanation:
f (-10) = ?
Evaluate piecewise functions
Answer:
f(- 10) = 150
Step-by-step explanation:
f(- 10) with t = - 10 corresponds to t ≤ - 10 with f(t) = t² - 5t , then
f(- 10) = (- 10)² - 5(- 10) = 100 + 50 = 150
for t=-10
f(t)=t²-5tSo
f(-10)
(-10)²-5(-10)100+50150Prior to a special advertising campaign, 23% of all adults recognized a particular companyâs logo. At the close of the campaign the marketing department commissioned a survey in which 311 of 1,200 randomly selected adults recognized the logo. Determine, at the .01 level of significance, whether the data provide sufficient evidence to conclude that more than 23% of all adults now recognize the companyâs logo.
Answer:
The answer is "2.4049"
Step-by-step explanation:
Calculating the test of Hypothesis: [tex]H_{0}: 23\% \ \text{off all adults which reconize the compony's logo}\\\\H_{1}: \text{more than 23\% of adult recornise the compony's logo}\\\\[/tex]
that is
[tex]H_{0}: p=0.23\ against \ H_{1}:p>0.01\\\\Z=\frac{P-p}{\sqrt{\frac{p(1-p)}{n}}}\sim N(0,1)\\\\[/tex]
Given:
[tex]p= 0.23\\\\ \therefore \\\\1-p=0.77\\\\n=1200\\\\ P=\frac{311}{1200}=0.2591\\\\\therefore\\\\Z= \frac{0.2591-0.23}{\sqrt{((0.23)\times \frac{(1-0.23))}{1200}}}=2.4049[/tex]
Z=2.576 tabled value. Because Z is 2.4049, that's less than Z stated, there is no indication that a null hypothesis is rejectable, which means that 23% of all adults record the logo of the Company.
Select the correct answer.
What is V200in simplest form?
OA. 2/10
OB.
1072
O C. 100/2
OD
20/10
Darot
Answer:
It is 10√2
Step-by-step explanation:
[tex] = \sqrt{200} \\ = \sqrt{2 \times 100} \\ = ( \sqrt{2} ) \times ( \sqrt{100} ) \\ = \sqrt{2} \times 10 \\ = 10 \sqrt{2} [/tex]
Amanda has 1 3/4yds of red ribbon and 7/8yds of green
ribbon. What is the total amount of ribbon that
Amanda has? (write answer as a fraction)
Answer:
21/8 yds or 2 5/8 yds
Step-by-step explanation:
First turn 1 3/4 yards into an improper fraction so you can add it to 7/8 yards.
1 3/4 as an improper fraction is 7/4 yds
7/4 yds = 14/8 yds
14/8 yds + 7/8 yds = 21/8 yds
So the total amount of ribbon Amanda has is 21/8 yds or 2 5/8 yds
PLEASE HELP!! WHOEVER HELPS FIRST AND GETS IT CORRECT GETS BRAILIEST!! By the way, TWO people need to answer so I can mark brainliest.
Answer:
what's is the question anyway
The value of my coins if I have p pennies, n nickels and twice as many quarters as pennies.
Answer:
Total value in cents = 51p+5nTotal value in dollars = (51p+5n)/100The answer varies depending if your teacher wants the answer in cents only, or in dollars only.
====================================================
Explanation:
p = number of penniesn = number of nickels2p = number of quarters, since we have twice as many quarters compared to pennies.Based on that, we know,
p = number of cents from the pennies (1 penny = 1 cent)5n = number of cents from the nickels (5 nickels = 5 cents, multiply both sides by n)25(2p) = 50p = number of cents from the quartersand ultimately
p+5n+50p = 51p+5n
represents the total value of all the coins, and this value is in cents. We would divide by 100 to convert from cents to dollars. So we can say that 51p+5n cents = (51p+5n)/100 dollars
----------------
As an example, let's say
p = 4n = 5So we have
p = 4 penniesn = 5 nickelsq = 2p = 2*4 = 8 quartersThis would mean we have
p = 4 cents from the pennies only5n = 5*5 = 25 cents from the nickels only25q = 25*8 = 200 cents from the quarters onlyOverall we have p+5n+25q = 4+25+200 = 229 cents which converts to 229/100 = $2.29
We can also say 51p+5n = 51*4+5*5 = 204+25 = 229 which is a slight shortcut to get the same result (that result being in cents).
An just finished taking statistics, and wants to do a survey on the average salary of Spring 2019 HCC graduates. She calculates that the standard error of the mean is $128.13 after she surveyed a group of students who reported an annual income of $43,650 and she knows the population standard deviation is $2,050, how many students were randomly sampled by An?
Answer:
The appropriate answer is "256".
Step-by-step explanation:
Given:
Standard error,
SE = 128.13
Standard deviation,
[tex]\sigma[/tex] = $2050
As we know,
⇒ [tex]SE = \frac{\sigma}{\sqrt{n} }[/tex]
or,
⇒ [tex]\sqrt{n}= \frac{\sigma}{SE}[/tex]
By substituting the values, we get
[tex]=\frac{2050}{128.13}[/tex]
[tex]=\frac{205000}{12813}[/tex]
[tex]n = (\frac{205000}{12813} )^2[/tex]
[tex]=255.98[/tex]
or,
[tex]=256[/tex]
8 meters for every 2inches what is the area of 144 meters squared
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Answer:
9 square inches
Step-by-step explanation:
The area is proportional to the square of the linear scale factor. We can use this to write the proportion ...
A/(144 m²) = ((2 in)/(8 m))²
A = (144·4/64) in² = 9 in²
The area representing 144 square meters is 9 square inches.
An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is ____ ▼ mph miles hour and the speed of the wind is ____ ▼ mph. hour miles
Answer:
630 and 90 respectively
Step-by-step explanation:
Let the speed of wind be x and the plane speed be y
ATQ, (y+x)*3=2160 and (y-x)*4=2160. Solving it, we will get x=90 and y=630
The speed of the plane in still air is 630 miles per hour and the speed of the wind is 90 miles per hour.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return trip takes 4 hours against the wind.
Let 'x' be the speed of the plane and 'y' be the speed of the wind. Then the equations are given as,
x + y = (2160 / 3)
x + y = 720 ...1
x - y = (2160 / 4)
x - y = 540 ...2
Add equations 1 and 2, then we have
2x = 720 + 540
x = 1260 / 2
x = 630 miles per hour
Then the value of 'y' is calculated as,
630 + y = 720
y = 90 miles per hour
The speed of the plane in still air is 630 miles per hour and the speed of the wind is 90 miles per hour.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Divide into two triangles in a straight line
Step-by-step explanation:
I am not sure but is this question like this
if it's not i am sorry
please help
Evaluate 3^x for x = −2, x = 1, and x = 3.
A)1∕3, 0, 9
B) 9, 3, 27
C) 1∕9, 3, 27
D)1∕9, 9, 27
Step-by-step explanation:
1/3,0,9
9,3,27
1/9,3,27
Solve for x
A. 9
B. 10
C. 42
D. 12
Answer:
Option D, 12
Step-by-step explanation:
4x-8=80/2
or, 4x-8=40
or, 4x=48
or, x=12
Answer:
Given:-
m∠DEF= (4x-8) °
m DE= 80°
Using a property :- m ∠DEF= 1/2 (m DE)
[tex](4x-8)[/tex] ° [tex]= 1/2 (80)[/tex]
[tex](4x-8)[/tex]° [tex]=(40)[/tex] °
[tex]4x-8=40[/tex]
Add 8 to both sides:-
[tex]4x=48[/tex]
Divide both sides by 4:-
[tex]\frac{4x}{4}=\frac{48}{4}[/tex]
[tex]x=12[/tex]
OAmalOHopeO
PLEASE HELPPPPPPPPP!!!!!!!!!!!
please help, will give brainliest for correct answer
ain't it just 3 for each one unless i'm missing something
Which quadrilateral has equal diagonals
Select one:
a. trapezoid
b. rectangle
c. parallelogram
d. rhombus
Answer:
Option b: Rectangle
Explanation:
Give branliest pls ;)
Is x=-2 a solution for the equation below?
Answer:
no
Step-by-step explanation:
-7+x^2-3x = 9+x-10
-7+(-2)^2-3*(-2) 9+(-2)-10
-7+4+6 9-12
3 > -3
if we substitute -2 to x, answer is not equal
Answer:
x= -2
-7 +x^2 - 3x = 9 +x - 10
-7 + (-2)^2 -3×(-2) = 9 + (-2) -10
-7 +4 +6 = 9 - 2 - 10
-7+10=9-12
3 =-3
Don't blame me if this is incorrect:)
Uche is a cartographer. He picks a scale to fit a map of India onto a page of an atlas. The page is 121212 by 121212 inches, with 0.750.750, point, 75 inch margins on all 444 sides. India measures 3{,}2143,2143, comma, 214 kilometers from north to south and 2{,}9332,9332, comma, 933 kilometers from west to east. Uche wants the longest dimension of India to fit exactly in between the margins of the page. If kkk is the number of kilometers per inch in Uche's scale, which equation best models the situation
The scale ratio of a point A to another point B is the division of the length of B by the length of A. The best equation that models the situation is: [tex]10.5k= 3214[/tex]
The page dimension is:
[tex]Length = 12[/tex]
[tex]Width = 12[/tex]
The length and the width of Uche's book are equal; this means the pages of Uche's book have the shape of a square
The margin of 0.75 on either sided means the usable dimension is:
[tex]Length = 12 - 2 * 0.75 =10.5[/tex]
The dimension of India is:
[tex]Length = 3214[/tex]
[tex]Width =2933[/tex]
The longest side in India's dimension is:
[tex]Longest = 3214[/tex]
From Uche's book, the longest dimension is:
[tex]Longest = 10.5[/tex]
So, the scale equation is:
k * longest length of Uche's book = longest side of India
This gives:
[tex]k * 10.5 =3214[/tex]
[tex]10.5k =3214[/tex]
Read more about scale ratio at:
https://brainly.com/question/16192120
if there are 5 routes to travel between A and B, how many options are there for a person to travel form A to B and retrun back?
Answer:
25
Step-by-step explanation:
Identify the segments that are parallel, if any, if ∠ADH≅∠ECK.
A. AE || CB
B. AD|| CB
C. none of these
D. AC|| CD
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Answer:
C. none of these
Step-by-step explanation:
The given information tells us ΔACD is isosceles, but gives no information about any lines that might conceivably be parallel.
A supervisor records the repair cost for 22 randomly selected VCRs. A sample mean of $75.50 and standard deviation of $18.07 are subsequently computed. Determine the 99% confidence interval for the mean repair cost for the VCRs. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The t value for 99% CI for 21 df is 2.831.
The critical value that should be used in constructing the confidence interval is (64.593, 86.407).
Step-by-step explanation:
Now the sample size is less than 30 and also population standard deviation is not known.
Then we will use t distribution to find CI
t value for 99% CI for 21 df is TINV(0.01,21)=2.831
The margin of error is [tex]E=t\times\frac{s}{\sqrt{n}}\\\\=2.831\times\frac{18.07}{\sqrt{22}}\\\\=10.907[/tex]
Hence CI is[tex]CI=\overline{x} \pm E\\\\ =75.50 \pm 10.907\\\\=(64.593,86.407 )[/tex]
in a group of 60 students, 30 can speak nepali only and 15 can speak English only how many can speak english and nepali students
Answer:
45 is the Answer
Step-by-step explanation:
Hope its helpful
Which side is the “adjacent” side to θ?
Answer:
third answer "a"
Step-by-step explanation:
