The probability of Max winning the first three games while losing the rest two is 0.023.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given that the probability of winning the game is 2/5. Since the sum of all the probability of an event is 1, therefore, the probability of losing the game can be written as,
Sum of all probability = Probability of winning + Probability of losing
[tex]1 = \dfrac25+\text{(Probability of losing)}\\\\\text{(Probability of losing)}=\dfrac35[/tex]
Thus, the probability of losing the game is 3/5.
As we need to calculate the probability of Max winning the first three games while he losing the rest two. Therefore,
[tex]P = \dfrac25 \times \dfrac25 \times \dfrac25 \times \dfrac35 \times \dfrac35 = \dfrac{72}{3125} = 0.023[/tex]
Hence, the probability of Max winning the first three games while losing the rest two is 0.023.
Learn more about Probability:
https://brainly.com/question/795909
The area of a square quilt is 196 square inches. There is a smaller square patch on the quilt with an area of 49 square inches. What is the difference between the overall perimeter of the quilt and the perimeter of the smaller square patch?
(5 points)
Points A and B are two of the vertices of a right triangle. They are the endpoints of the hypotenuse AB¯¯¯¯¯ of the triangle. The third vertex of the triangle lies in the first quadrant.
Plot a point at the location of the third vertex.
A plumber charged $78 for 4 hours' work. What is his rate per hour?
leah is placing books on a one meter long shelf. If each book is 2 cm wide, how many books will fit on the shelf?
How does the zero product property help you find the x intercept of y=x^2-x-12?
Two people start walking at the same time in the same direction. One person walks at 8 mph and the other person walks at 2 mph. In how many hours will they be 4.5 miles apart?
Final answer:
Two people walking at 8 mph and 2 mph, respectively, will be 4.5 miles apart in 0.75 hours, or 45 minutes, because they are moving apart at a relative speed of 6 mph.
Explanation:
To calculate the time it will take for two people walking at different speeds to be 4.5 miles apart, we need to find the relative speed at which they are moving apart. The first person walks at 8 miles per hour (mph), and the second person walks at 2 mph. The relative speed is the difference in their speeds, which is 6 mph (8 mph - 2 mph).
We know that they want to be 4.5 miles apart. To find the time (t), we use the formula distance = speed × time, or rearranged to solve for time, time = distance / speed. Plugging in our values we get time = 4.5 miles / 6 mph, which simplifies to 0.75 hours. Therefore, it will take them 0.75 hours or 45 minutes to be 4.5 miles apart.
Please help me with this.
Answer:
2(6x - 1 + 3x + 2) = 2(9x + 1) = 18x + 2
two softball players are comparing the throwing distance representing by HSN PF how many feet longer is HF then PF round your answer to the nearest whole number
State which of the following ordered pairs is a function.
Set A: (-1, 0), (-2, 1), (4, 3), (3, 4)
Set B: (1, 4), (2, 3), (3, 2), (4, 1)
Set C: (2, 1), (3, 2), (2, 3), (1, 4)
a. Set A
b. Set B
c. Both Set A and Set B
d. Set C
Answer:
c
Step-by-step explanation:
A round of table has a diameter of 28 inches. What is the area of the tabletop? Use 22/7 for pi
If I have a 40 % and my teacher puts in 3 100% what’s my grade ?
how many square feet is 20 ft by 20 ft
The result of rounding the whole number 724,804 to the nearest thousands place is:
Use the net to find the approximate surface area of the cylinder to the nearest square meter
Answer:
[tex]\text{Surface area of cylinder is }302\thinspace m^2[/tex]
Step-by-step explanation:
Given the cylinder with radius 3 m and height 13 m. we have to find the surface area of the cylinder to the nearest square meter.
Radius=3 m
Height=13 m
[tex]\text{Surface area of cylinder is }\\\\=2\pi r(r+h)\\\\=2\times\frac{22}{7}\times3(3+13)\\\\=\frac{132}{7}(16)=301,71\sim302\thinspace m^2[/tex]
[tex]Hence,\text{surface area of cylinder is }302\thinspace m^2[/tex]
Option 3 is correct.
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 5 .
1. 1 / 6
2. 1 / 3
3. 1 / 4
4. 2 / 3
The probability of rolling a number greater than 5 is 1/6.
What is probability?Probability is the ratio that shows the likelihood an event will occur or not from a given set of events.
We can find the probability of rolling a number greater than 5 below:The total number of faces that have a number greater than 5 = 6.
The total number of faces = 6.
Therefore, the probability of that can be found as shown below:
P( rolling a number greater than 5 ) = The total number of faces that have a number greater than 5/The total number of faces
= 1/6
We have found the probability.
Therefore, we have found that the probability of rolling a number greater than 5 is 1/6.
Learn more about probability here: https://brainly.com/question/251701
#SPJ2
A rectangular cake has a length of 13 1/2 inches and a width of 9 inches. How many whole, square pieces of cake with side lengths of 2 1/4 inches can be cut from the cake?
linda is building a rectangular playhouse. the width is x feet. the length is x + 3 the distance around the base of the playhouse is 36 feet. is 8 the value of x? explain
The value of x is 7.5, not 8. Hence, 8 is not the correct value of x.
What is the value of x?The perimeter of a rectangle is expressed as:
Perimeter = 2( length + width )
Given that:
The width of the rectangular playhouse = x feet
The length = x + 3
Perimeter = 36 feet
To determine whether 8 is the value of x, we can set up an equation using the formula for the perimeter of a rectangle.
Perimeter = 2( length + width )
Plug in the given values:
36 = 2( (x+3) + x )
Solve for x:
36 = 2( 2x + 3 )
36 = 4x + 6
4x = 36 - 6
4x = 30
x = 30/4
x = 7.5
Based on the calculation, the value of x is 7.5, not 8.
Learn about area of rectangle here: brainly.com/question/12019874
#SPJ1
If you squeeze one orange you would get 4 ounces of juice do you want does make 32 ounces of juice how many oranges much you squeeze
??????????????????????????????????
A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain. The shop run by the chain serves 502 customers day. About how many customers does the local shop serve in a day
Answer:
about 112 customers
Step-by-step explanation:
we know that
To find out how many customers does the local shop serve in a day, multiply the fraction 2/9 by the number of customers that the shop run serve in a day
Let
x ----> the number of customers that the shop run serve in a day
y ----> the number of customers that the local shop serve in a day
[tex]y=\frac{2}{9}x[/tex]
we have
x=502
substitute the value of x in the equation
[tex]y=\frac{2}{9}(502)[/tex]
[tex]y=111.6[/tex]
Round up
so
about 112 customers
The local shop serves about 112 customers in a day
Further explanationOrder of Operations in Mathematics follow this following rule :
ParenthesesExponentsMultiplication and DivisionAddition and SubtractionThis rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem.
[tex]\texttt{ }[/tex]
This problem is about Percentage.
A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain.
[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times \texttt{National Chain's customers}[/tex]
[tex]\texttt{ }[/tex]
The shop run by the chain serves 502 customers day.
[tex]\texttt{National Chain's customers} = 502[/tex]
[tex]\texttt{ }[/tex]
[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times \texttt{National Chain's customers}[/tex]
[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times 502[/tex]
[tex]\texttt{Local Shop's customers} = 111\frac{5}{9}[/tex]
[tex]\texttt{Local Shop's customers} \approx 112[/tex]
[tex]\texttt{ }[/tex]
Conclusion:The local shop serves about 112 customers in a day
[tex]\texttt{ }[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
If a = 0.3 with a line over 3 and b = 0.5 with a line over 5, what is the value of a + b?
8/10
8/9
88/100
80/99
Eva is jumping on a trampoline. Her height h at time t can be modeled by the equation h=-16t^2+20t+6. Would Eva reach a height of 14 feet?
A function assigns the value of each element of one set to the other specific element of another set. Eva can not reach a height of 14 feet.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the function of the height of the jump, Eva is given as h=-16t^2+20t+6. Now, in order to know if Eva will reach 14 feet height, we need to substitute the value of her height of Eva as 14 feet, therefore,
[tex]h=-16t^2+20t+6\\\\14=-16t^2+20t+6\\\\16t^2 - 20t+14-6=0\\\\16t^2 -20t + 8=0[/tex]
If we calculate the discriminant of the given quadratic equation, we will understand that the given quadratic equation has imaginary roots.
Therefore, Eva can not reach a height of 14 feet.
Learn more about Function:
https://brainly.com/question/5245372
Suppose there is a relationship between independent and dependent variables represented by a scatterplot. Which statement is correct? The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right. The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right. The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right. The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right. Mark this and return
Answer:
B: The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.
Step-by-step explanation:
edg2021
dependent means it depends on something, such as the independent variable that will change it
The independent variable influences the dependent variable in a scatterplot regardless of whether the relationship is positive (upward slope) or negative (downward slope), which is shown by the direction in which the points trend.
The correct statement is: The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right. This means that the independent variable can have either a positive relationship or a negative relationship with the dependent variable. If there is a positive relationship, as the independent variable increases, the dependent variable also increases and vice versa. Conversely, in a negative relationship, as the independent variable increases, the dependent variable decreases, and as the independent variable decreases, the dependent variable increases. A scatterplot is a tool that helps visualize these relationships, with the independent variable typically plotted on the horizontal axis and the dependent variable on the vertical axis. The slope of the points in a scatterplot indicates the direction of the relationship, which can be assessed by observing whether most points lie around a line that slopes upwards or downwards.
-61/12=b-4/3 help me out please
Plz jphelp me answer this year 7 question and explain how u got the answer.
I have to use the distributive property to rewrite each algebraic ez
xpression i need answers please?1?1 3 (× + 1) =____?, 5(× + 8) =____?, 4 (× + 6) =___?
75 points
Write and solve an equation to find the measure of ∠NEP. Make sure you show all work.
Answer:
your anser is 110
Step-by-step explanation:
180 - 70 = 110
Ronaldo tossed a quarter and three dimes at the same time. The quarter landed heads up what is the probability that all the dimes also laded heads up
Find the area. The figure is not drawn to scale
What does the phrase “at the eleventh hour” mean in this sentence
The members of the House of Representatives approved the budget “ at the eleventh hour”
A) at a particular time of day
B) with unanimous agreement
C) before they needed to
D) at the last minute
Answer:um
Step-by-step explanation:d