The new point is (-2, -9).
What happens when a point is reflected about an axis?
The x-coordinate remains constant when a point is reflected across the x-axis, but the y-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the x-axis as (x, -y).
The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).
Given, the point to be reflected is : A : (2, -9)
Also, the axis through which the point is to be reflected is y-axis.
Following the statement established in the literature, we have:
The point (2, -9) when reflected over the y-axis, the x-coordinate is assumed to be the additive inverse, thus the new co-ordinate is (-2, -9).
The new point is (-2, -9).
To learn more about reflection of points, tap on the link below:
https://brainly.com/question/12130378
#SPJ13
Sydney picked 28 raspberries and 35 blueberries to make two desserts.
She needs 4 raspberries for each raspberry tart and 5 blueberries for each
blueberry tart. She wants to know how many desserts she will be able to
make with the berries.
find the number of terms in the sequence 1,-4,16,...,65536
Answer:
9 terms
Step-by-step explanation:
The sequence given is a geometric sequence
In a geometric sequence, the nth term of the sequence can be found by the formula
[tex]a_n = a_1r^{n-1}[/tex]
[tex]\text{where }\\\\ a_n = \text {nth term}\\\\\text{$a_1 = $ first term}\\\\\text{$r = $ common ratio}[/tex]
In the given sequence,
a₁ = 1
r = -4
aₙ = 65536
So we get the relation:
65536 = 1· (-4)ⁿ⁻¹
65536 = (-4)ⁿ⁻¹
It is clear that n-1 has to be even so that the power of 4 is positive.
Substituting x = n -1 where x is even gives us
4ˣ = 65536
If we take logarithms to the base 4 on both sides we get
=> x = [tex]\log_465536 = 8\\\\[/tex]
Since x = n - 1 and x = 8, n = 9
So the 9th term in the series is 65536
a list of 1111 positive integers has a mean of 1010, a median of 99 and a unique mode of 88 what is the largest possible value of an integer in the list?
The largest possible value in the list is 35.
What is mean, median and mode?
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.
Given: There is a list of 11 positive integers.
Has a mean of 10, a median of 9 and a unique mode of 8.
Since the mode (8) is less than the median (9), the mode can only appear (at most) 5 times since the mode is the 6th number in the list (assuming the list has been sorted in ascending order).
If so, the first five numbers can be 8, the following four numbers can be 9, and the next greatest number can be 10, which means the largest number must be 110 - (8 x 5 + 4 x 9 + 10) = 110 - 86 = 24.
The largest number must be 110 - 77 = 33 if the mode repeats just twice, in which case we can let the first ten numbers be 1, 2, 3, 8, 8, 9, 10, 11, and 13, totaling 77.
The biggest number in this scenario is 110 - 75 = 35 if the mode repeats itself three times. Alternatively, we can let the first ten numbers be 1, 1, 8, 8, 8, 9, 10, 10, and 11 totaling 75.
Therefore, the largest possible value of an integer in the list is, 35.
To know more about mean, median and mode, click on the link
https://brainly.com/question/14532771
#SPJ4
what are the coordinates of a’?
Peter says,
"If you subtract 18 from my number and multiply the difference by -6, the result is -84."
What is Peter's number?
I already made the equation, I just am struggling solving it
-6(x-18)=-84
Answer:
x = 32
Step-by-step explanation:
-6(x-18) = -84
Divide both sides by -6
x - 18 = 14
Add 18 to both sides
x = 32
What is the value of q − 7 if q = −17? 24 10 −10 −24
PLEASE HELP!!!
When q = -17, the value of the equation, q - 7 would be: d. -24.
How to Evaluate an Equation?If we are given an equation to evaluate for a given value of a variable, we are to substitute the value of the variable into the equation and solve or simplify.
For example, if an equation is given as 3x + 4, and we are told that the x = 3, to determine the value of the equation, 3x + 4, substitute x = 3 into the equation as:
3(3) + 4
= 9 + 4
= 13
Here, we can now conclude that the value of the equation is 13.
Given the equation, q - 7, to find the value of the equation when q = -17, substitute the value of q into q - 7.
Therefore:
q - 7 = -17 - 7
= -24.
The value of the equation is: d. -24.
Learn more about the value of equation on:
https://brainly.com/question/1429964
#SPJ1
The value of q - 7, when q = - 17 is - 24.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, q = - 17.
∴ q - 7.
To solve our expression we'll substitute the numerical value of q in the given expression.
= (-17) - 7.
= - 17 - 7.
= - 24.
We can also take negative sign common in the second step and distribute them later.
- 17 - 7.
= - (17 + 7).
= - (24).
= -24.
learn more about numerical expression here :
https://brainly.com/question/14642484
#SPJ1
can anyone please solve this 3 dimensional equation?
The solution for the system of equations of three variables is:
x = 4
y = -1
z = -3
Or (4, -1, -3) written as a point.
How to solve the system of equations?
Here we have a system of equations on 3 variables, the system is:
3x + 2y + z = 7
5x + 5y +4z = 3
3x + 2y + 3z = 1
Notice that the "x" and "y" coefficients in the first and last equation are the same ones, so we can take the difference between these to get:
(3x + 2y + 3z ) - (3x + 2y + z ) = 1 - 7
2z = -6
z = -6/2 = -3
So the value of z is -3.
Replacing that in the first and second equation we get:
3x + 2y - 3 = 7
5x + 5y + 4*(-3) = 3
Now we can simplify these:
3x + 2y = 10
5x + 5y = 15
We can divide the second one by 5 to get:
(5x + 5y)/5 = 15/5
x + y = 3
Isolating x, we get:
x = 3 - y
Now we replace that in the other equation:
3*(3 - y) + 2y = 10
9 - y = 10
9 - 10 = y
-1 = y
Now we know the value of y, finally with:
x = 3 - y
We can get the value of x:
x = 3 - (-1) = 4
Learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
find mean propertion between 5 and 125
Find an equation for the perpendicular bisector of the line segment whose
endpoints are (-3, 2) and (7, 6).
Answer:
The perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is y = - 2.5x + 9================
Given Points (-3, 2) and (7, 6)To findThe equation of the perpendicular bisector of the segment with given endpoints.SolutionFind the midpoint of the segment and its slope to determine the perpendicular line passing through the midpoint.
The midpoint has coordinates:
x = ( - 3 + 7)/2 = 4/2 = 2,y = (2 + 6)/2 = 8/2 = 4.The slope:
m = (6 - 2)/(7 - (-3)) = 4/10 = 2/5We know perpendicular lines have opposite/reciprocal slopes.
So the slope of the perpendicular bisector is:
m = - 1/ (2/5) = - 5/2 = - 2.5Use the coordinates of the midpoint and point-slope equation to determine the line:
y - 4 = -2.5(x - 2)y - 4 = - 2.5x + 5y = - 2.5x + 5 + 4y = - 2.5x + 9Answer:
[tex]y=-\dfrac{5}{2}x+9[/tex]
Step-by-step explanation:
A perpendicular bisector is a line that intersects another line segment perpendicularly and divides it into two equal parts.
Given endpoints of the line segment:
(x₁, y₁) = (-3, 2)(x₂, y₂) = (7, 6)Substitute the given endpoints into the slope formula to find the slope of the line segment:
[tex]\implies \textsf{Slope $m$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{7-(-3)}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]
If two lines are perpendicular to each other, their slopes are negative reciprocals.
Therefore, the slope of the perpendicular line is -⁵/₂.
Find the midpoint of the given line segment by substituting the given endpoints into the midpoint formula:
[tex]\implies \textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{7-3}{2},\dfrac{6+2}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(2,4\right)[/tex]
To find the equation of the perpendicular bisector, substitute the found slope and midpoint into the point-slope form of a linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-4=-\dfrac{5}{2}(x-2)[/tex]
[tex]\implies y-4=-\dfrac{5}{2}x+5[/tex]
[tex]\implies y=-\dfrac{5}{2}x+9[/tex]
Therefore, the equation for the perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is:
[tex]\boxed{y=-\dfrac{5}{2}x+9}[/tex]
Which is the order from least to greatest of the following: 4/3, 0.8, 1/5, 30%?
Answer:
1/5, 30%, 0.8, 4/3
Lexi and Raymond are hosting events that are catered by the same company. Lexi plans to have 63 adults and 59 children attend, so the total projected cost of her meals is $2,582. Raymond has 63 adults and 93 children on her guest list, so he will pay the caterer $3,126. How much does the caterer charge for each meal?
Every adult's meal costs $
, and every child's meal costs $
.
The cost for children meal is $16 and the.cost for adult meal is $26.
How to calculate the value?Let cost of adult meal = a
Let cost of child meal = c
Lexi plans to have 63 adults and 59 children attend, so the total projected cost of her meals is $2,582.This will be:
63a + 59c = 2582 ...... i
Raymond has 63 adults and 93 children on her guest list, so he will pay the caterer $3,126. This will be;
63a + 93c = 3126 ...... ii
Collect both equations
63a + 59c = 2582 ...... i
63a + 93c = 3126 ...... ii
Subtract i from ii
34c = 544
Divide
c = 544 / 34
c = 16
The cost of children meal is $16.
From equation i, 63a + 59c = 2582
63a + 59(16) = 2582
63a + 944 = 2582
Collect like terms
63a = 2582 - 944
63a = 1638
a = 1638/63
a = 26
Adult meals is $26.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Which of the following statements is true about congruent angles?
Answer: Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles. They are seen everywhere, for example, in equilateral triangles, isosceles triangles, or when a transversal intersects two parallel lines.
Step-by-step explanation:
Harley rides her bicycle the same distance every day for 4 days. The total distance she rides is 814 miles. How many miles does she ride each day?
Answer:
203.5
Step-by-step explanation:
just divide 814 by 4
Answer:
203.5 miles per day
Step-by-step explanation:
divide 814 by 4= 203.5
can someone help me really quick please
The value of p is $ 6.75.
It is given in the figure that the price of 6 apples in the grocery store is $ 4.50.
We have to find the value of p which is the price of 9 apples.
By unitary method, we can write,
Price of 1 apple = 4.5/6 = 3/4 = $ 0.75.
Hence,
Price of 9 apples = 0.75*9 = 6.75 dollars
Hence, the value of p is $ 6.75.
Unitary method
The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.
To learn more about unitary method, here:-
https://brainly.com/question/22056199
#SPJ1
12. The length of one side of
a rectangle is
12cm.
The length of the diagnol of
the rectangle is 13cm
Calculate the area of the
rectangle
Answer :- 60 cm^2
Step-by-Step Solution :-
Let ABCD be the Rectangle.
Given :
AD = 12 cm
BD = 13 cm
To Find : Area of ABCD
Solution :
In ∆ADB,
AD = 12 cm and BD = 13 cm
By Pythagoras Theorem,
(BD)^2 = (AD)^2 + (AB)^2
13^2 = 12^2 + (AB)^2
169 = 144 + (AB)^2
AB^2 = 169 - 144 = 25
AB = √25
Therefore, AB = 5 cm
Now, to find the Area,
Area of Rectangle = length × breadth
Area of ABCD = 12 × 5
Therefore, Area of ABCD = 60 cm^2
complete the slope-intercept form of an equation that represents the relationship in the table
Answer:
y = 3x -4
Step-by-step explanation:
You want the slope intercept equation representing the relationship between x and y, given (x, y) = (1, -1) and (4, 8).
SlopeThe slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (8 -(-1))/(4 -1) = 9/3 = 3
InterceptThe y-intercept can be found using the equation ...
b = y1 -m(x1)
b = -1 -3(1) = -4
Slope-intercept equationThe slope-intercept equation of a line has the form ...
y = mx + b
Using the above values of m and b, this becomes ...
y = 3x -4
__
Additional comment
Attached is a graph showing the points and the line the equation represents.
<95141404393>
A small square has an area of 40 inches squared. A large square has sides that are 8 times longer than the small square. What is the area of the large square?
Solution
Given that
Area f small square = 40 inches squared.
[tex]\begin{gathered} a=40 \\ \\ \text{ since a}=l^2 \\ \\ \Rightarrow40=l^2 \\ \\ \Rightarrow l=\sqrt{40} \end{gathered}[/tex]Let the side of the large square be L
Since the large square has sides that are 8 times longer than the small square
=> L = 8l
[tex]\begin{gathered} \Rightarrow L=8l \\ \\ \Rightarrow L=8(\sqrt{40}) \end{gathered}[/tex]Hence, the area of Large square is;
[tex]A=L^2=(8\sqrt{40})^2=64\times40=256[/tex]Hence, the area of the large square is: 256 inches squared.
select all the angles that are congruent to <6
The angles that are congruent to angle 6 in the given diagram are:
∠2, ∠3, and ∠5.
What are Congruent Angles?Interior angles that lie opposite to each other along a transversal that cut across the parallel lines they are found on are said to be congruent angles based on the alternate interior angles theorem.
Also, vertical angles have angle measure that are the same, that is, they are congruent as well, so also are corresponding angles.
In the image given, angles 3 and 6 are alternate interior angles. Therefore, they are congruent.
∠5 is congruent to ∠6 because they are vertical angles.
∠2 is congruent to ∠6 because they are corresponding angles.
The angles that are congruent to angle 6 are: angles 3, 5, and 2.
Learn more about congruent angles on:
https://brainly.com/question/22190474
#SPJ1
Please fill in the blanks. I set it as 30 but I don't know how many points you get for answering lol
The function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.
In this question, we have been given a function y = k/d³
We need determine whether function is power function or not.
We know that, a power function is of the form y = x ^n where n is any real number.
We can write given function as,
y = k × d^(-3)
Given that, k represents a constant.
Here, the value of y depends on the value of d.
So, d is an independent variable and y is dependent variable.
also, the power of given function is -3
Therefore, the function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.
Learn more about the function here;
https://brainly.com/question/28193995
#SPJ1
solve the following equation 7x + 14=28
Answer:
x = 2
Step-by-step explanation:
The Question was:
7x + 14 = 28
Subtract 14 from both sides.
7x = 28 − 14
Subtract 14 from 28 to get 14.
7x = 14
Divide both sides by 7.
x = 14/7
Divide 14 by 7 to get 2.
x = 2
Answer:
x=2
Step-by-step explanation:
To solve a question like that, we have to isolate the variable.
What is the variable? A variable is a letter partaking in an equation that is in place of a number or solution that makes the equation true.
In this case, the variable is x.
To isolate the variable, we must do the opposite action that is being done to the number.
For example, if a number was added to one side by 28, we can subtract both sides by 28 so it negates the addition and does not alter the original equation.
7x+14=28 We can subtract the 14 on both sides to negate the -14 -14 addition.
7x=14 Divide each side by 7 to isolate x.
x=2
For her science fair project, Madelyn is growing crystals with sugar water. She wants to know if the size of the container has an effect on crystal growth. To start, Madelyn pours a sugar-water mixture into a small bowl. Then she pours triple the amount of the mixture into a large bucket. She decides to add red coloring so the crystals are more visible. Madelyn adds the same amount of red coloring to both containers. Which container's sugar water mixture is a darker shade of red?
The container whose sugar water mixture is a darker shade of red is: A. the small bowl's mixture is a darker shade of red.
What is a ratio?A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
In this scenario, the ratio of the sugar water mixture in the small bowl (S) to the sugar water mixture in the large bucket (L) can be represented by this mathematical expression:
S:L = 1:3
Also, when red coloring is added to both containers, we have:
S:L = 1r:3r
In this context, we can reasonably and logically deduce that the mixture in the small bowl would have a darker shade of red because it is less diluted in comparison with the sugar water mixture in the large bucket.
Read more on ratio here: https://brainly.com/question/28083504
#SPJ1
Complete Question:
For her science fair project, Madelyn is growing crystals with sugar water. She wants to know if the size of the container has an effect on crystal growth. To start, Madelyn pours a sugar water mixture into a small bowl. Then she pours triple the amount of the mixture into a large bucket. She decides to add red coloring so the crystals are more visible. Madelyn adds the same amount of red coloring to both containers. Which container's sugar water mixture is a darker shade of red?
answer choices
The small bowl's mixture is a darker shade of red.
The large bucket's mixture is a darker shade of red.
Neither. The mixtures are the same shade of red.
[tex]\sqrt{x} ^2+2x-3[/tex]
The result of the expression given is 3x - 3
Simplification of Linear EquationTo solve this problem, we have to simplify the equation, and write the expression.
Given that
[tex]\sqrt{x^2}+ 2x -3[/tex]
For every square root having a square inside, they both cancel out each other to have the variable only.
Lets apply that in this expression
[tex]\sqrt{x^2} + 2x - 3\\x + 2x - 3[/tex]
To solve the expression, we would have the final answer to the question.
[tex]x + 2x - 3\\3x - 3[/tex]
The value of the expression given is 3x - 3
Learn more on simplification of linear equation here;
https://brainly.com/question/2030026
#SPJ1
freddy is having a fall harvant party for his friends they have 30 to decorate and 36 sets of material to make mini scarecrows how many kids decorate pumpkins and make scarecrows if he wants each person to have the same amount of crafts with nno left overs material
Based on the highest common factor, the number of kids that can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers is 5.
What is the highest common factor?The highest common factor (HCF) is the number that can divide between 30 and 36 without a remainder.
Pumpkins Materials
Units 30 36
HCF 6 6
Average used 5 6
Thus, dividing 30 and 36 by their HCF of 6, respectively, shows that 5 kids can decorate the 30 pumpkins using 6 materials each to make the scarecrows.
Learn more about the highest common factor at https://brainly.com/question/21504246
#SPJ1
The number of kids who can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers would be; 5.
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
The highest common factor (HCF) is defined as the number which can divide between 30 and 36 without a remainder.
Given that they have 30 to decorate and 36 sets of material to make mini scarecrows.
Their HCF is 6. The averages used are 5 and 6 respectively.
Hence, their HCF of 6, shows that 5 kids can decorate the 30 pumpkins by using 6 materials each to make the scarecrows.
Learn more about the highest common factor at ;
brainly.com/question/21504246
#SPJ1
a particular community in the mid west experiences on average 3.9 tornadoes every year. what's the probability that the next tornado comes after 7 months have passed? give your answer in decimal form with three significant digits.
0.8973 is the probability that the next tornado will occur within the next seven months.
Applying the rule of three, we can infer that since the average number of tornadoes in a year is 3.9, the average number of tornadoes in a nine-month period is 3.9*7/12 = 2.275. It is reasonable to believe that the distribution of tornadoes over time is Poisson. Let's refer to X as the number of tornadoes in a seven-month period. X has a Poisson distribution with a parameter of 2.27.
The probability of X being greater than or equal to 1 is equivalent to the likelihood that the next tornado will occur within the next seven months.. However P(X≥1) = 1-P(X=0), and
[tex]p(X=0) = (e^{2.275} * 2.275^{0}) / 0![/tex] = 0.1027
Thus, the probability that the next tornado comes within the next 7 months is 1-0.1027 = 0.8973.
Learn more about Poisson Distribution here :
https://brainly.com/question/17280826
#SPJ4
Ms. Wilson invested $30,000 in two accounts, one yielding 8% interest and the
other yielding 9%. If she received a total of $2,590 in interest at the end of the
year, how much did she invest in each account?
The amount invested at 8% was $
The amount invested at 9% was $
Answer:
The amount invested at 8% was $11,000
The amount invested at 9% was $19,000
Step-by-step explanation:
Let the variable x represent the amount in $ invested at 8% and let y be the amount in $ invested at 9%
Total amount invested:
x + y = 30000 [1]
8% = 8/100 = 0.08
9% = 9/100 = 0.09
Interest at 8% on $x = 0.08x
Interest at 9% on $x = 0.09x
Total Interest :
0.08x + 0.09y = 2590 [2]
Using equations [1] and [2] we can solve for x and y
We have
x + y = 30000 [1]
0.08x + 0.09y = 2590 [2]
Multiply equation 1 by 0.08 to get
0.08x + 0.08y = 0.08(30,000)
0.08x + 0.08y = 2,400 [3]
Subtract [3] from [2] :
0.08x + 0.09y = 2590
-
0.08x + 0.08y = 2400
----------------------------------
0x + 0.01y = 190
Divide both sides by 0.01
0.01y/0.01 = 190/0.01
y = = 19,000
Use [1] to get value of x
x + y = 30,000
x + 19,000 = 30,000
x = 30,000 - 19,000
x = 11,000
Evelyn needs to order some new supplies for the restaurant where she works. The restaurant needs at least 769 glasses. There are currently 205 glasses. If each set on sale contains 12 glasses, write and solve an inequality which can be used to determine xx, the number of sets of glasses Evelyn could buy for the restaurant to have enough glasses.
Answer: 769 bottles ≤ 12x + 205, or 564 bottles ≤ 12x
Step-by-step explanation:
➜ They need at least 769 bottles, so our inequality will use either ≤ or ≥ depending on how we set it up.
➜ They currently have 205 bottles, so we will use addition to show there are some glasses currently owned
➜ If each set contains 12 glasses, we will multiply x, the number of sets bought, by 12
With these details, we will write an inequality.
769 bottles ≤ 12x + 205
Read more about a similar question here: https://brainly.com/question/25326258
PLEASE HELP 20−(2)(−7)+(−9)÷(−3)
Answer:
37
Step-by-step explanation:
Use PEMDAS, in this case, start with multiplication: (2)(-7), don't forget there is a minus sign in front of the two which is important later, then move on to dividing (-9) by (-3). Then you are left with 20-(-14)+3, which is the same as 20+14+3, which equals 37.
How far does a rider travel in one complete rotation around the Ferris wheel?
Use 3.14 as an approximation for Pi and round the second answer below to the nearest whole number.
If the diameter of the Ferris wheel is 80 meters, then a rider will travel 251.2 meters in one complete rotation around the Ferris wheel.
The diameter of the Ferris wheel = 80 meters
The radius of the Ferris wheel = Diameter / 2
= 80/2
= 40 meters
The Total distance travelled by the rider in one revolution = The circumference of the wheel
The circumference of the wheel = 2πr
Where r is the radius of the wheel
Substitute the values in the equation
The circumference of the wheel = 2×3.14×40
= 251.2 meters
Hence, if the diameter of the Ferris wheel is 80 meters, then a rider will travel 251.2 meters in one complete rotation around the Ferris wheel
The complete question is :
If the diameter of the Ferris wheel is 80 meters, how far does a rider travel in one complete rotation around the Ferris wheel?
Learn more about circumference here
brainly.com/question/17009295
#SPJ1
study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. it was found that children not wearing any restraints had hospital stays with a mean of 7.37 days and a standard deviation of 3 days with an approximately normal distribution. (a) find the probability that their hospital stay is from 5 to 6 days, rounded to five decimal places. (b) find the probability that their hospital stay is greater than 6 days, rounded to five decimal places.
The probability that their hospital stay is greater than 6 days is equal to 0.67724 and the probability that their hospital stay is from 5 to 6 days is equal to 0.108
Mean (μ) = 7.37
Standard deviation (σ) = 3
we need to calculate probability that their hospital stay is from 5 to 6 days i.e.
⇒ P(5 < X < 6) = P(X < 6)-P(X < 5)
Here we will use standard normal distribution where,
Z-score = (X -μ )/ σ = (6 - 7.37)/3 = -0.46
Z-score = (5 - 7.37)/3 = -0.79
from Z table we found p-value
⇒P(5<X<6) = P(X<6) - P(X<5) = 0.32276 - 0.21476 = 0.108
So there is 0.108 probability that their hospital stay is from 5 to 6 days.
we need to calculate probability that their hospital stay is greater than 6 days i.e.
We get: P(X > 6) = 1 − P(X < 6)
Here we will use standard normal distribution where,
Z-score = (X - μ)/σ = (6 - 7.37)/3 = -0.46
from Z table we found p-value
P(X > 6) = 1 - P(X<6) = 1 - 0.32276 = 0.67724
So there is 0.67724 probability that their hospital stay is greater than 6 days.
To learn more about probability visit:
https://brainly.com/question/13604758
#SPJ4
The perimeter of a rectangle is 48 centimeters, The relationship
between the length, the width, and the perimeter of the rectangle
can be described with the equation 2 • length + 2 • width = 48.
Find the length, in centimeters, if the width is:
1. 10 centimeters
2. 3.6 centimeters
3. w centimeters