Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road instead of side streets. He can travel three times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm he arrives home from work if he leaves late. Let x represent the number of minutes his normal commute takes when he leaves on time.
y equals one third times x plus twenty
y = 3x + 20
y equals one third times x minus twenty
y = 3x − 20
NO LINKS
Answer:
y =1/3x+20
Step-by-step explanation:
He starts 20 minutes late so we need to add 20 minutes to the time
He travels 3 times faster so he takes 1/3 of the normal time x
y =1/3x+20
Answer:
A) y = 1/3x + 20
Use the square roots property to solve equation (6x-7)/2+4=21
Answer:
[tex]22\frac{1}{6}[/tex]
Step-by-step explanation:
2+4=6
21X6=126
126+7=133
133/6= 22R1
Please help me!! I will try to give brainliest
If point A, having
coordinates (p, 3) and
point B, with coordinates
(6, p) lie on a line having
a slope of 2, what is the
value of p?
gradient or slope=y2 -y1
x2 - x1
so for A, p is x1 and 3 is y1..
For B, 6 is x2 and p is y2
2= p - 3
6 - p
2 ( 6 - p) = p - 3
12 - 2p = p - 3
-2p + p = -3 - 12
-p = - 15
p = 15
Does anyone know what is a passing grade in high school?
Answer:
yes. In highschool the passing grade is
80-89 (B) thats pretty much good.
70-79 (C) average
65-69 (D) passing
BELOW 65 (F) FAILING
Although A - is the highest grade you can receive on an assignment, and it's between 90% and 100% ... D - this is still a passing grade, and it's between 59% and 69% F - that pretty much a failing grade.
Suppose a large shipment of telephones contained 21% defectives. If a sample of size 498 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%
Answer:
[tex]P(-3\% < x < 3\%) = 0.901[/tex]
Step-by-step explanation:
Given
[tex]p = 21\%[/tex]
[tex]n = 498[/tex]
Required
[tex]P(-3\% < x < 3\%)[/tex]
First, we calculate the z score
[tex]z = \sqrt{p * (1 - p)/n}[/tex]
[tex]z = \sqrt{21\% * (1 - 21\%)/498}[/tex]
[tex]z = \sqrt{21\% * (79\%)/498}[/tex]
[tex]z = \sqrt{0.1659/498}[/tex]
[tex]z = \sqrt{0.000333}[/tex]
[tex]z = 0.0182[/tex]
So:
[tex]P(-3\% < x < 3\%) = P(-3\%/0.0182 < z <3\%/0.0182)[/tex]
[tex]P(-3\% < x < 3\%) = P(1.648 < z <1.648)[/tex]
From z probability, we have:
[tex]P(-3\% < x < 3\%) = 0.901[/tex]
factorize 16a4+4a2b2+b4
Answer:
16a^4 + 4a^2* b^2 + b^4
4a^2 ( 4a^2+b^2)+b^4
4a^2 (2a+b+b)^2 +(b^2)^2
4a^2 ( 2a+b+b^2)^2-4ab^2
4a^2-4ab^2(2a+b+b^2)
4a(a-b^2) (2a+b+b^2)
NO LINKS NO FILES!!!! Please.
Answer:
N
Step-by-step explanation:
the first 3 is the x value, or the horizontal line value, and the second 3 is the y value, or the vertical line value.
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.16. The probability that it will not rain and the flight will leave on time is 0.79. What is the probability that it is not raining if the flight has been delayed?a. P(delayed | rain) = 0.08.
b. P(delayed | rain) = 0.083.
c. P(rain | delayed) = 0.06.
d. P(rain | delayed) = 0.056.
Answer:
The appropriate answer is "0.437".
Step-by-step explanation:
Given:
P(rain) = 0.14
then,
P(no-rain) = 1-P(rain)
= 1-0.14
= 0.86
P(delay) = 0.16
P(rain and on time) = 0.79
then,
By using the conditional probability, we get
⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]
or,
⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]
By substituting the values, we get
⇒ [tex]=\frac{0.07}{0.16}[/tex]
⇒ [tex]=0.437[/tex]
Can you help me with these 3 !!!!!! And explain tooo!!!
9514 1404 393
Answer:
See the attachment. Brainly doesn't like function constructs using f as a function name. Hence the picture.
A person must score in the upper 7% of the population on an admissions test to qualify for membership in society catering to highly intelligent individuals. If test scores are normally distributed with a mean of 110 and a standard deviation of 5, what is the minimum score a person must have to qualify for the society
Answer: The minimum score a person must have to qualify for the society = 147.4
Step-by-step explanation:
Let X be the test scores.
As per given,
X is normally distributed.
Mean [tex](\mu) = 110[/tex]
[tex]\sigma=5[/tex]
[tex]$$\begin{array}{l}\quad P(z>2)=0.07 \\\therefore \quad 1-P(z<2)=0.07 \\\therefore \quad P(2<2)=1-0.07 \\\therefore \quad P(2<2)=0.93 \\\qquad \begin{aligned}P(z<1.48) &=0.93[\text { using } z- \text { -table] } . \\z=1.48 \\\text { let } z &=\frac{x-\mu}{\sigma} \\x &=\mu+2 \sigma \\x &=140+(1.48)(5) \\x &=147.4\end{aligned}\end{array}$$[/tex]
The minimum score a person must have to qualify for the society = 147.4
Develop the three-week moving average forecasts for this time series. (Round your answers to two decimal places.)WeekTime SeriesValueForecast118211316410 Incorrect: Your answer is incorrect.517 Incorrect: Your answer is incorrect.615 Incorrect: Your answer is incorrect.Compute MSE. (Round your answer to two decimal places.)MSE
Answer:
Three-week moving average forecast
[tex]\begin{array}{ccc}{Week} & {Time\ Series\ Value} & {Forecast} & {1} & {18} & { } & 2 & {13} & { } & {3} & {16} & { } & {4} & {11} & {15.67 } & 5 & {17} & {13.33 } & {6} & {14} & {14.67 } \ \end{array}[/tex]
[tex]MSE = 11.90[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccc}{Month} & {1} & {2} & {3} & {4} & {5}& {6} & {Value} & {18} & {13} & {16} & {11} & {17} & {14} \ \end{array}[/tex]
Solving (a): Three-week moving average forecast
This is calculated as:
[tex]F_{t+1} = \frac{\sum recent\ k\ data}{k}[/tex]
Since it is three-week, we start from t = 3
For t = 3; we consider months 1, 2 and 3
[tex]F_{3+1} = \frac{18 + 13 + 16}{3}[/tex]
[tex]F_{4} = \frac{47}{3}=15.67[/tex]
For t = 4; we consider months 2, 3 and 4
[tex]F_{4+1} = \frac{13 + 16+11}{3}[/tex]
[tex]F_{5} = \frac{40}{3}=13.33[/tex]
For t = 5; we consider months 3, 4 and 5
[tex]F_{5+1} = \frac{16+11+17}{3}[/tex]
[tex]F_{6} = \frac{44}{3}=14.67[/tex]
So, the forecast are:
[tex]F_{4} =15.67[/tex]
[tex]F_{5} = 13.33[/tex]
[tex]F_{6} = 14.67[/tex]
[tex]\begin{array}{ccc}{Week} & {Time\ Series\ Value} & {Forecast} & {1} & {18} & { } & 2 & {13} & { } & {3} & {16} & { } & {4} & {11} & {15.67 } & 5 & {17} & {13.33 } & {6} & {14} & {14.67 } \ \end{array}[/tex]
Solving (b): MSE
To do this, we simply calculate the square of the forecast error
The forecast error (E) is:
[tex]E = Time\ Series\ Value - Forecast[/tex]
So, we have:
Forecast error The square
[tex]E_4 = 11 - 15.67 = -4.67[/tex] [tex]E_4^2 =21.81[/tex]
[tex]E_5 = 17 - 13.33 = 3.67[/tex] [tex]E_5^2 = 13.45[/tex]
[tex]E_6 = 14 - 14.67 = -0.67[/tex] [tex]E_6^2 = 0.45[/tex]
[tex]MSE = \frac{E_4^2 + E_5^2 + E_6^2}{3}[/tex]
[tex]MSE = \frac{21.81 + 13.45 + 0.45}{3}[/tex]
[tex]MSE = \frac{35.71}{3}[/tex]
[tex]MSE = 11.90[/tex]
How many triangles of any size are there in a star?
There are many shapes of a star. It depends on the shape of the star. If you’re referring to this star, then the number of triangles is 5.
Hope this answers your question!
What is the square root of -1?
Answer: i
Step-by-step explanation:
It is imaginary, since if you try squaring numbers, ex: -1, 1,0,2 you always get a number bigger or equal to 0.
For years mathematicans argued weather the square root of -1 (or any negative number) should exist.
Then one day, a mathematician proposed a soulution, the square root of -1 could be i. Everyone liked that and so now the square root of -1 is i
PLS HELP!! need the answer asap
Answer:
x = 8
Step-by-step explanation:
Since the lines are parallel:
the given angles are alternate exterior angles and alternate exterior angles has same measures
8x = 64 divide both sides by 8
x = 8
Pls helpp pls pls pls
Answer: 16^2 + 12^2
Step-by-step explanation:
20^2 = 400
16 x 16 = 256
12 x 12 = 144
256 + 144 = 400
Rectangle PQRS is shown with its diagonals, PR and QS.
Rectangle P Q R S is shown. Diagonals are drawn from point P to point R and from point S to point Q and intersect at point T.
What type of triangle is △STR?
right triangle
equilateral triangle
isosceles triangle
scalene triangle
Answer:
the triangle is an isosceles triangle
The type of triangle STR is Isosceles triangle
Properties of a rectangleOpposite side are parallelOpposite sides are congruentOpposite angles are congruentDiagonal are congruent and they bisect each other.Since the diagonal bisect each other, the triangle STR formed has two opposite sides equal to each other and the base angle of the triangle STR are congruent.
Therefore, triangle STR is an Isosceles triangle.
Isosceles triangle have two of it sides equal to each other.
learn more on rectangle here: https://brainly.com/question/2229933
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal? points anyone
Answer:
77
Step-by-step explanation:
13 x 77 = 1001 which is 1 more than enough, so the answer would be 77.
Answer:
77 boxes
Step-by-step explanation:
Hello there! Let's solve this problem together:
First, we will review our numbers.
13 girls have to sell 1,000 boxes.
Now, we will do the math.
We will solve this problem by dividing.
We will keep multiply by one until we reach 1000 or more.
They have to each sell at least 77 boxes.
Best of Luck!
What expressions are
equivalent to 4(z+3)?
Answer:
4z+12
hope this helps
have a good day :)
Step-by-step explanation:
Solve: 9x - 3 = 729 x =
Answer:
Its 6 <3
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
If 8 headphones cost a dollars, how
much would b headphones cost?
(what is the equation)
Answer:
0.125b
Since 1 headphone would be 1/8=0.125, 0.125 x b would be the equation
Identify the angles that are coterminal with 135 degrees choose all that apply
Answer:ok
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answer:
V=27/2 units^3
Step-by-step explanation:
The volume of a rectangular prism is l*w*h
V=l*w*h
We are already given the w*h, which is 27/5 units^2.
Now all we need to do is multiply that with the length, 5/2 units. So,
V=(5/2 units) * (27/5 units^2)
V=27/2 units^3
66 is what percentage of 400? pls answer
Answer:
16.5
Step-by-step explanation:
Hey Mate Please Mark Me As Brainlist
WILL BE MARKED BRAINLY
Answer:
112+31=143
180-143=37
DF-->DE-->EF
Step-by-step explanation:
Which is the smallest of these
fractions', '/8, 1/4,?/s, '/2.
Answer:
1/8
Step-by-step explanation:
FREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Help me please someone ( finals )
Step-by-step explanation:
the first one is ( vertical )..
the third one is 59.
Question is in the image
Answer:
0.722
Step-by-step explanation:
First of all add up the sections 1 to 8 to make sure they add to 360
They do actually.
1 102 203 304 405 506 607 708 80Total 360
This is an area question. Every time you spin the spinner, it must come to an area labeled 1 to 8.
You could do this by setting up a ratio of each section and subtract the section for 3 and 7. That's the long way.
The shorter way is to add up the degrees for 3 and 7 and subtract them from the total (360)
Area 3 + area 7 = 30o + 70o = 100 degrees.
So the probability of landing in 3 or 7 is 100 / 360 = 0.278 (rounded)
The probability of Not landing on 3 or 7 is 1 - 0.278 = 0.722
Use trigonometric ratios to solve the right triangle.
Answer:
[tex]DF=15, DE=5\sqrt{3}[/tex]
Step-by-step explanation:
[tex]sin(60)=\frac{DF}{EF} =\frac{DF}{10\sqrt{3} }\\DF=10\sqrt{3} sin(60)=10\sqrt{3} \times \frac{\sqrt{3} }{2} =15\\cos(60)=\frac{DE}{EF} =\frac{DE}{10\sqrt{3} }\\DE=10\sqrt{3} cos(60)=10\sqrt{3} \times \frac{1 }{2} =5\sqrt{3}[/tex]
I need the answer in standard form
Answer:
5x+4y = 24
Step-by-step explanation:
We know the y intercept = 6
We can find the slope
(0,6) and (4,1)
m = ( y2-y1)/(x2-x1) = ( 1-6)/(4-0) = -5/4
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = -5/4x+6
Multiply each side by 4
4y = -5x+24
Add 5x to each side
5x+4y = 24
The standard form of a line is
Ax +By = C where A,B C are integers and A > 0