the boston weatherman says there is a 75 percent chance of rain for each day of the labor day four-day weekend. if it doesn't rain, then the weather will be sunny. paul and yuri want it to be sunny one of those days for a world war iii preenactment, but if it's sunny for more than one day they won't know what to do with themselves. what is the probability they get the weather they want? give your answer as a fraction.
The probability that Paul and Yuri get the weather they want = 27/64
Given probability for rain = 75% = 3/4
The total probability is considered as 100% or 1.
So the probability for sunny day = 1 - 3/4 = 1/4
Paul and Yuri want a sunny day from labor day 4 -day weekend.
This means 3 days of rain and 1 sunny day. So 3 times the probability for rain and 1 time the probability for sunny day.
This one sunny day can be chosen from 4 days. In other ways there is 4C1 =4 different ways possible to choose 3 days of rain and 1 sunny day from 4 days.
So finally the probability that Paul and Yuri get the weather they want
= [tex]\frac{3}{4}^3 \times \frac{1}{4} \times 4[/tex] = 27/64
Learn more about probability at https://brainly.com/question/24756209
#SPJ4
what are the coefficients of 4x -7 - 8x +17
Which equation can be used to find 40 percent of 25?
A. Start Fraction 25 divided by 1 Over 40 divided by 1 End Fraction = Start Fraction 25 Over 40 End Fraction
B. Start Fraction 100 times 4 Over 40 times 4 End Fraction = Start Fraction 400 Over 16 End Fraction
C. Start Fraction 40 times 4 Over 25 times 4 End Fraction = Start Fraction 160 Over 100 End Fraction
D. Start Fraction 40 divided by 4 Over 100 divided by 4 End Fraction = Start Fraction 10 Over 25 End Fraction
Please help (❤´艸｀❤) What one is it?!?
Answer:
A
Step-by-step explanation:
The correct equation to find 40 percent of 25 is: D. Start Fraction 40 divided by 4 Over 100 divided by 4 End Fraction = Start Fraction 10 Over 25 End Fraction
Let's go through each option and determine the correct equation step by step.
A. Start Fraction 25 divided by 1 Over 40 divided by 1 End Fraction = Start Fraction 25 Over 40 End Fraction
This equation represents the division of 25 by 40. However, we want to find 40 percent of 25, not divide 25 by 40. So, this equation is not the correct one.
B. Start Fraction 100 times 4 Over 40 times 4 End Fraction = Start Fraction 400 Over 16 End Fraction
In this equation, we multiply 100 by 4 and divide it by 40 multiplied by 4. Simplifying this expression, we get 400 divided by 16, which is equal to 25. This equation does not give us the value of 40 percent of 25, so it is not the correct one.
C. Start Fraction 40 times 4 Over 25 times 4 End Fraction = Start Fraction 160 Over 100 End Fraction
Here, we multiply 40 by 4 and divide it by 25 multiplied by 4. Simplifying this expression, we get 160 divided by 100, which is equal to 1.6. This equation does not give us the value of 40 percent of 25, so it is also not the correct one.
D. Start Fraction 40 divided by 4 Over 100 divided by 4 End Fraction = Start Fraction 10 Over 25 End Fraction
In this equation, we divide 40 by 4 and divide 100 by 4. Simplifying this expression, we get 10 divided by 25, which is equal to 0.4. This equation represents 40 percent of 25, as 0.4 is equal to 40 percent when expressed as a decimal. Therefore, the correct equation is D.
To know more about percent, refer here:
https://brainly.com/question/31323953
#SPJ6
look at pic n answer plz, its math
Answer:
the answer is G because each grab the probability is 1/5 and 1/5*1/5= 1/25
what is a better deal
$23 for 10 lb or $32.05 for 15 lb
a line passes through the point (10, -9) and has a slope of -3/2. write an equation in slope-intercept form for this line.
helpppp!!!!!!!!!!!!!!
Answer:
3075
Step-by-step explanation:
Bob and Alice have designed and created a website for their high school. The first week they had 5 visitors to the site; the second week, they had 10 visitors; and during the third week, they had 20 visitors. If the trend continues, how many visitors can they expect in the fifth week? Explain your answer.
Answer: 80
Step-by-step explanation:
Number of visitors in first week = 5
Number of visitors in second week = 10
Number of visitors in third week = 20
The common ratio here is = 10/5 = 2
The fifth term will be:
= ar^n-1
where,
a = first term = 2
r = ratio = 2
n = number of terms = 5
= 5 × 2^(5-1)
= 5 × 2^4
= 5 × 16
= 80
A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).
What is the domain of the relation?
{x| x = –4 , 0, 1, 2}.
{x| x = –7, –6, 2, 3, 11}.
{y| y = –4, 0, 1, 2}.
{y| y = –7, –6, 2, 3, 11}.
The domain of the given relation (-6, 0), (2, 1), (-7, -4), (11, 2), (3, 2) is (A)
{x | x = -5, -3, 1, 2, 6}.
What do we mean by domain?The domain of a function is indeed the set of values that can be plugged into it. This set contains the x values in a function like f(x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.So, consider the diagram provided.
The left side of the graph represents the input (x) values, while the right side represents the output (y) values.The domain is the set of all possible input values.Consider the following figure, where the set of input values is:{x | x = -5, -3, 1, 2, 6}Therefore, the domain of the given relation (-6, 0), (2, 1), (-7, -4), (11, 2), (3, 2) is (A) {x | x = -5, -3, 1, 2, 6}.
Know more about domains here:
https://brainly.com/question/2264373
#SPJ9
The correct question is given below:
A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).
What is the domain of the relation?
(Refer to the diagram for options)
what is the answer to x(4x+1)
Answer:
4x^2+x
Step-by-step explanation:
(x)(4x+1)=(x)(4x)+(x)(1)
Hope this helped :)
i need help solving this problem
Answer:
I think 12 but I gave it a shot
The equation of a line is given below.
-4x+13y=−26
Find the x-intercept and the y-intercept.
Then use them to graph the line.
X-Intercept: [tex](\frac{13}{2},0)[/tex]
Y-Intercept: [tex](0,-2)[/tex]
As for the graph, you mark 13/2, or 6.5 on the x-axis for your first point, and -2 on the y-axis for your second point. Then, draw your line and you have your graph.
Hope this helps! If so, lmk!
In the worst snowstorm in Milwaukee history, 8 inches of snow fell in 12 hours. What was
the unit rate of inches of snow per hour?
2
4 inches
11/3 inches
1/2 of an inch
2/3 of an inch
Music off
O
e
Da
10:18 AM
12/11/2020
Answer:
2/3 inch
Step-by-step explanation:
12 divided by 8
I need help on this question.
Answer:
18
Step-by-step explanation:
60% of 50 is 0.60x50=30
40% of 30 is 0.40x30=12
30-12=18
So 60% of 50 is 18 greater than 40% of 30.
pls help me idk what this is
Answer:
B. -6 ≤ y ≤ 9
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the line in the graph, our y-values span from -6 to 9. Since both are closed dot, they are inclusive in the range:
Range: [-6, 9] or -6 ≤ y ≤ 9
Answer:
B
Step-by-step explanation:
The solid circles at both ends of the graph are (- 10, - 6 ) and (0, 9 )
The range is the values of y covered by the graph, that is from - 6 to 9
Since the circles are solid then y can equal - 6 and 9
Thus
the range is - 6 ≤ x ≤ 9
If f ( x ) = 2 x 2 - 4 x , what is the value of f(3)?
Answer:
-6
Step-by-step explanation:
Answer the question in photo [ Brainliest + easy points ]
Answer:
for This you have to find the value of x.
Step-by-step explanation:
just add both of them the equation formed will be
22x - 26 = 19x -17
so you can calculate x
which is x = 3
so put the value in 14x -15
so TU will be 27
if you have any doubt you can comment it.
thankyou .
(adding and subtracting with scientific notation mc) calculate (8.42 x 109) − (2.35 x 108).
The sum of the scientific notation is 8.655 * 10^9
Sum of scientific notationThe standard form of a scientific notation is expressed as A * 10^n
where
A is any value between 1 and 10
n is any integer
Given the expression below;
(8.42 x 10^9) + (2.35 x 10^8)
This can also be expressed as
(84.2 x 10^8) + (2.35 x 10^8)
(84.2+2.35) * 10^8
86.55 * 10^8
8.655 * 10^9
Hence the sum of the scientific notation is 8.655 * 10^9
Learn more on the sum of the scientific notation here: https://brainly.com/question/22491567
#SPJ1
please help im about to get in trouble
The answer is by changing the values 0,4 3,6 6.8 9.10 make it 0,4 3,8 6,12 9,16
Step-by-step explanation:
I am just that smart
Clayton needs to reflect the triangle below across the line y = x. On a coordinate plane, triangle A B C has points (5.5, 7), (6, 2), (4, 4). Which statements about the reflection are true? Check all that apply.
Answer:
Clayton could use the relationship (x,y) - (y,x) to find the points of the image.
C’ will remain in the same location as C because it is on the line of reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures
Step-by-step explanation:
Clayton needs to reflect the triangle below across the line y=x
Which statements about the reflection are true? Check all that apply.
Clayton could use the relationship (x,y) - (y,x) to find the points of the image.Clayton could negate both the x and y values in the points to find the points of the image.C’ will remain in the same location as C because it is on the line of reflection.C’ will move because all points move in a reflection.The image and the pre-image will be congruent triangles.The image and pre-image will not have the same orientation because reflections flip figures.
Solution:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of a figure over a line. If a point A(x, y) is reflected over the line y=x, the new location is A'(y, x).
If the triangle ABC with vertices A(5.5, 7), B(6, 2), C(4, 4) is reflected over the line y=x, the new location would be A'(7, 5.5), B'(2, 6) and C'(4, 4).
A. Clayton could use the relationship (x,y) - (y,x) to find the points of the image. Reflection across the line y = x is the swapping of the x and y coordinates. Option A is correct
B. Clayton could negate both the x and y values in the points to find the points of the image. Option B is wrong
C. C’ will remain in the same location as C because it is on the line of reflection. C is on the line of reflection, hence it remains the same. Option C is correct.
D. C’ will move because all points move in a reflection.
Option D is wrong.
E. The image and the pre-image will be congruent triangles.
Option E is correct. Reflection preserves the shape and length of an object.
F. The image and pre-image will not have the same orientation because reflections flip figures. Option F is correct
Answer:
A, C, E, F
Step-by-step explanation:
graph the line that passes through( -1,5)perpendicular to a line whose slope is -1/6
Answer:
y - 5 = 6(x+1)
Step-by-step explanation:
if it is perpendicular to a line whose slope is -1/6, the slope of this line is the negative reciprocal which is 6.
y - 5 = 6(x+1)
this is point slope form btw
Out of 40 children in a class, 10 are boys. What is the percentage of boys?
Step-by-step explanation:
total children = 40
number of boys = 10
then
percentage of boys = 10/40*100
25percent are boys
Answer:
10/40×100.
1/4×100.
25%.
I need a lot of help this is due in like 5 minute
Answer:
the slope is up 2 over 3 and the y intercept is -1
Step-by-step explanation:
Can someone help me with this math problem asap??
please answer correctly or I'll report it!
Answer:
13
Step-by-step explanation:
Like the previous problem, let's state what we know.
We know 4 and k = 17
so
4+k=17
Which means k=13
PLZ ANSWER CORRECTLY 1 2⁄6 ÷ 4 1⁄3
Answer:
0.30715935334
Step-by-step explanation:
8/6 ÷ 13/3
1.33÷ 4.33
0.30715935334
Answer:
4/13
Step-by-step explanation:
i know im 6 days late but i tried to find this answer but i got it wrong so 4/13 is the answer(im answering this incase if someone else is looking for the answer)
Can someone please help mee ? Will give brainlist
Answer:
I told my parents and x= 18
Step-by-step explanation:
I WILL MARK 10/10 IF U GET ANSWER CORRCET!!10 Fill in the blanks to make each equation true.
5
-6.5•(-0.4) =
2.6
b.
.
-27
-10
c.
-6+ (-3)-(-5) =
d.
+ -(-3) -
3
10
-8
e.
-4.5 1.8.3.2
Answer:
a) 2.6
b) -15
c) 9
d) [tex]\frac{3}{10}-(-\frac{2}{3})=\frac{3}{10}+\frac{2}{3}=\frac{9}{30}+\frac{20}{30}=\frac{29}{30}[/tex]
e) 1.26
Step-by-step explanation:
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.
Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.
A.
(2.5, 15)
B.
(5, 20)
C.
(7.5, 12.5)
D.
(17.5, 5)
E.
(19, 1)
Answer:
A C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Leah wants to earn at least 120 dollars a month and she has two job options. This is written as
5x + 8y > 120
She also can't work more than 20 hours, leading us to the second equation
x + y = 20
First we solve for one variable
y = 20 - x
then substitute it into the first equation
5x + 8(20 - x) = 120
Solve for x
5x + 160 - 8x = 120
3x = 40
x = 40/3
Then we solve for y
y = 20 - x
y = 20/3
x < 40/3
y > 20/3
B and D will not work because their x+y is greater than 20.
E will also not work because the value is less than 120
Nola was selling tickets at the high school dance. At the end of the evening, she picked up the cash box and noticed a dollar lying on the floor next to it. She said, I wonder whether the dollar belongs inside the cash box or not. The price of tickets for the dance was 1 ticket for $5 (for individuals) or 2 tickets for $8 (for couples). She looked inside the cash box and found $200 and ticket stubs for the 47 students in attendance. Does the dollar belong inside the cash box or not? (justify/defend)
Answer:
yes
Step-by-step explanation:
s + 2c = 47
5s+8c = 200
which one checks as in the other solution does not have a solution in non-negative integers. On the other hand, the analogous system
s + 2c = 47
5s+8c = 201
with solution s=13 and c=17. So, as in the other solution, we conclude that the extra dollar belongs in the cash box, with 13 singles and 17 couples attending the dance.
A school supply company produces wooden rulers and plastic rulers. It takes 30 minutes to
cut, shape, and sand a wooden ruler. It takes 15 minutes to mold, dry, and cut a plastic ruler. A
maximum of 480 minutes per day is set aside for these tasks.
It takes 6 minutes to paint the lines and numbers on both types of rulers. A maximum of
180 minutes per day is set aside for this task.
a. What is a system of inequalities that models this scenario?
b. What is the graph of the solution to this system?
Answer:
30w+ 15p<480
6w<180
Step-by-step explanation:
Answer:
Y≥0 X≥0 6x+6y≤180 30x+15y≤480