Answer:
c^2 = a^2 + b^226^2 = 10^2 + b^2 676 = 100 + b^2 576 = b^2 shortest side length = 24 units
Step-by-step explanation:
A necklace calls for red, blue and white beads in the ratio of 5: 8:12. Ming has used
350 beads, how many of them are white in colour?
Answer:
168Step-by-step explanation:
find unity
350 : (5 + 8 + 12) =
350 : 25 = 14
multiply the units by the white ratio14 * 12 = 168
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.8 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median recovery time? days c. What is the Z-score for a patient that took 4 days to recover? d. What is the probability of spending more than 3.8 days in recovery? e. What is the probability of spending between 3.2 and 4.2 days in recovery? f. The 90th percentile for recovery times is days.
Using the normal distribution, we have that the desired information is given as follows:
a) X ~ N(3,1.8).
b) 3 days.
c) Z = 0.5556.
d) 0.33 = 33%.
e) 0.2048 = 20.48%.
f) 5.3 days.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 3, \sigma = 1.8[/tex]
Hence the distribution is X ~ N(3,1.8), and, as is standard in the normal distribution, the median is the same as the mean, which is of 3 days.
The Z-score for a patient that took 4 days to recover is Z when X = 4, hence:
Z = (4 - 3)/1.8 = 0.5556.
The probability of spending more than 3.8 days in recovery is one subtracted by the p-value of Z when X = 3.8, hence:
Z = (3.8 - 3)/1.8 = 0.44.
Z = 0.44 has a p-value of 0.67.
1 - 0.67 = 0.33.
The probability is of 0.33 = 33%.
The probability of spending between 3.2 and 4.2 days in recovery is the p-value of Z when X = 4.2 subtracted by the p-value of Z when X = 3.2, hence:
X = 4.2:
Z = (4.2 - 3)/1.8
Z = 0.67.
Z = 0.67 has a p-value of 0.7486.
X = 3.2:
Z = (3.2 - 3)/1.8
Z = 0.11.
Z = 0.11 has a p-value of 0.5438.
0.7486 - 0.5438 = 0.2048 = 20.48%.
The 90th percentile is X when Z = 1.28, hence:
1.28 = (X - 3)/1.8
X - 3 = 1.8 x 1.28
X = 5.3 days.
More can be learned about the normal distribution at https://brainly.com/question/15181104
#SPJ1
1 of 2. Very much apprexiated
Answer:x=5
Step-by-step explanation: 73+73+6x+4=180
150+6x=180
6x=30
x=5
Match each scenario with the type of correlation it shows.
the time spent practicing and the
number of free throws made
the number of items bought and the
checking account balance
the height of baseball player and the
number of hits made.
000
negative correlation
no correlation
positive correlation
The time spent practicing and the number of free throws made has a positive correlation. The number of items bought and the checking account balance has a negative correlation. The height of baseball player and the
number of hits made has no correlation.
About positive correlation:
Two variables that move together, or in the same direction, are said to have a positive correlation. When one variable rises while the other rises or when one variable falls while the other falls, there is a positive correlation.
About negative correlation:
A negative or inverse relationship between two variables in statistics exists when higher values of one variable tend to be correlated with lower values of the other. Such scenarios have negative correlation.
About no correlation:
When two events or variables are unaffected by each other or are not inter-related, they are said to possess no correlation.
Learn more about correlation here:
https://brainly.com/question/27886995
#SPJ1
Answer:
option 1 is positive option 2 is negative option 3 is none
Step-by-step explanation:
Enginuity said so
Help please I need this asap
Answer:
It is a little hard to see. I think that it is 10.
Step-by-step explanation:
They break even where the two lines intersect. If you look at the bottom of the graph and find 10 and then trace that straight up, I think that is where I see the lines crossing.
How many different 2-digit numbers are there with the following property:the tenth digit is greater than the units digit?
Answer:
45
Step-by-step explanation:
Simply start by listing out the numbers from smallest to largest.
We start out with the smallest number following this information being the number 10. The next are 21 and 20. The next are 32, 31, and 30. We can start to see a pattern. If the ten's digit is n, then there are n numbers within that ten-group that have a greater 10's digit than unit's digit. The largest ten-group (90 to 98) has 9 integers following the rules established. Thus, the number of 2-digit integers that have ten's digits greater than units digit is 1+2+3+...+9=45
PLS SOLVE ASAP. I will mark brainlest.
Answer:
• [tex](w \cdot u) (7)[/tex] = [tex]\bf 8[/tex]
• [tex](u \cdot w) (7)[/tex] = [tex]\bf 22[/tex]
Step-by-step explanation:
We are given:
[tex]u(x) = x^2 + 6[/tex]
[tex]w(x) = \sqrt{x + 9}[/tex].
• [tex](w \cdot u) (7)[/tex]. read as "w of u of 7", means we have to input 7 into the function [tex]u(x)[/tex], and use the output we get as input for the function [tex]w(x)[/tex] :
[tex](w \cdot u) (7)[/tex]
⇒ [tex]w(u(7))[/tex]
⇒ [tex]w(7^2 + 6)[/tex]
⇒ [tex]w(55)[/tex]
⇒ [tex]\sqrt{55 + 9}[/tex]
⇒ [tex]\sqrt{64}[/tex]
⇒ [tex]\bf 8[/tex]
• Similarly, we can evaluate [tex](u \cdot w) (7)[/tex] :
[tex](u \cdot w) (7)[/tex]
⇒ [tex]u(w(7))[/tex]
⇒ [tex]u(\sqrt{7 + 9})[/tex]
⇒ [tex]u(\sqrt{16})[/tex]
⇒ [tex]u(4)[/tex]
⇒ [tex]4^2 + 6[/tex]
⇒ [tex]\bf 22[/tex]
The answers are :
(w o u)(7) = 8
(u o w)(7) = 22
To find the first answer, substitute u(x) in w(x), and set x = 7.
u(7) = 7² + 6 u(7) = 49 + 6u(7) = 55w(u(7)) = √(55 + 9)w(u(7)) = √64w(u(7)) = 8(w o u)(7) = 8To find the second answer, substitute w(x) in u(x), and set x = 7.
w(7) = √(7 + 9)w(7) = √16w(7) = 4u(w(7)) = 4² + 6u(w(7)) = 16 + 6u(w(7)) = 22(u o w)(7) = 22julianna wrote -16+ x = -8 on the board.Do not solve.Tell how you would simplify julianna's expression?
Answer:
x = 8
Step-by-step explanation:
→ Add 16 to both sides
x = 8
The correct solution for the given expression [tex]-16+x = -8 \\[/tex] is [tex]x[/tex] is equal to [tex]8[/tex].
Given expression:
[tex]-16+x =- 8 \\[/tex]
To solve for [tex]x[/tex], Rearrange the equation or isolate [tex]x[/tex] terms on one side of the expression.
Add [tex]8[/tex] on both side of the equation:
[tex]-16+x+8=-8+8[/tex]
Simplify:
[tex]x-8 = 0[/tex]
Isolate [tex]x[/tex] on one side:
[tex]x= 8[/tex]
The correct value of [tex]x[/tex] is [tex]8[/tex].
Lear more about simplification here:
https://brainly.com/question/24295244
#SPJ3
At school, the teacher surveyed the color preferences of 21 students. Out of every
7 students surveyed, 4 said they liked blue the best. How many students said their favorite
color was blue?
Taking into account the definition of proportion, 12 students said their favorite color was blue.
Definition of ratioThe ratio is the comparison of two quantities and is measured from the division of two values. In other words, the ratio between two magnitudes is defined as their ratio or division; that is, given the quantities a and b, the ratio between them is a÷b.
The result of this division can be understood as how many times one quantity is in another.
Definition of proportionThe relationship of equality that exists between two ratios, that is, between two comparisons between two determined quantities, is known as a proportion. So if a/b corresponds to the ratio, then a/b = c/d equals a proportion.
Students that said their favorite color was blueAt school, the teacher surveyed the color preferences of 21 students. Out of every 7 students surveyed, 4 said they liked blue the best. This can be expressed as a proportion as follow:
4÷7= x÷ 21
where x is the number of students of the 21 students surveyed who like blue.
Solving:
(4÷7)×21= x
12= x
Finally, 12 students said their favorite color was blue.
Learn more about proportion:
brainly.com/question/27396612
brainly.com/question/27125652
#SPJ1
In whice of the pictures will the string form a knot if you pull on its ends?
Answer:
3
Step-by-step explanation:
i used process of elimination... 1 and 2 looks unreasonable, and 4 doesn't work cus i tried it irl. i might be wrong though, don't rely on me :>
If $1= rs 115.4 ( buying rate ) and $1=rs116.20(selling rate). find the profit while selling and buying $6000.
The profit is Rs.4800.
What is profit?When, in a transaction, the selling price is greater than the cost price, it means we earn a profit. It is calculated with the help of the formula: Profit = Selling price - Cost price.
Given that,
S.P =$6000
C.P = $6000
If, 1$ = Rs.115.4 (in cost price)
1$ = Rs.116.20 (in selling price)
Then,
C.P = Rs. 115.40×6000
S.P = Rs. 116.20×6000
Then,
Profit = S.P-C.P
= 116.20×6000 -115.40×6000
= (116.20-115.40)×6000
= 0.80×6000
= Rs.4800
Hence, The profit is Rs.4800.
To learn more about profit from the given link:
https://brainly.com/question/19104371
#SPJ4
Find all x-values in the interval for which the function is equal to its average value. (enter your answers as a comma-separated list. )
All the x-values in the interval for which the function is equal to its average value [tex]5-\sqrt{5}[/tex] .
An interval program language period accommodates the numbers mendacity between specific given numbers. for instance, the set of numbers x gratifying 0 ≤ x ≤ five is a c programming language that contains zero, five, and all numbers among 0 and five.
The interval program language period is the distinction between the higher class restriction and the lower magnificence restriction. As an example, the dimensions of the class c program language period for the first class is 30 – 21 = 9. further, the size of the class c programming language for the second magnificence is forty – 31 = nine.
In arithmetic, an interval language is fixed of actual numbers that carry all actual numbers mendacity among any numbers of the set. For example, the set of numbers x pleasurable zero ≤ x ≤ 1 is a language that includes zero, 1, and all numbers in between.
f(x)=(91-55 [0,1]
value of the function on the interval [0,1] is (9-0)
Let x-5=3
now, find the value of x, for which
f(x) =(2x-5) 2 =
5/X-5 =√5
24 X = 54√5 and 5. √5
Strs [ay] and 5- 5-√5 €0.4]
value of x is 5- sqrt15
Learn more about intervals here https://brainly.com/question/4679134
#SPJ4
A certain amount of concentrate is mixed with water to create a juice. The table shows the amount of concentrate, in ounces remaining, in the original container after x ounces of juice are made. How many ounces of concentrate were in the original container before any juice was made? PLEASE HELP ME
TheThe number of ounces of concentrate that were in the original container before any juice was made is 320 ounces and the number of juice that can be made using the whole container of concentrate is 1600 ounces.
Number of ouncesA. Let assume the two are linear relationship
Let y represent juice made
Let x represent the concentrate remaining
Hence:
Slope=600-200/200-280
Slope=400/-80
Slope=-5
y=-5x+b
Where:
x=200
y=-5(200)+b=600
y=-1000+b=600
b=1600
Thus,
y=-5x+1600
y=0. -5x+1600=0
-5x=-1600
divide both side by 5x
x=-1600/-5
x=320 ounces
B. x=0
y=1600 ounces
Therefore the number of ounces of concentrate that were in the original container before any juice was made is 320 ounces and the number of juice that can be made using the whole container of concentrate is 1600 ounces.
Learn more about number of ounces here:https://brainly.com/question/19645621
#SPJ1
if a sum of money of rs 25000 increaes by 1/10 of itsself every year what time eill it amount to rs 30000?
pls answer correctly and quickly!
Answer:
the answer is 1.5/10 cause the 5000 is added to 30000
In a right angled triangle ABC with hypotenuse c and sides a and b. Find the unknown leangth
b = 5dm, a=5√7dm, c = ?
Step-by-step explanation:
since it has a hypotenuse C
using pythagoras theroem
hpy²=opp²+adj²
=(5)²+(5√7)²
=25+175
=200
hyp=√200
=10√2
Tyler's brother works in a shoe store.
Tyler's brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his
commission?
The store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?
Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour. After the raise, how much will Tyler's brother make per
hour?
The ______ a system of linear equations that has at least one solution is ---select--- , whereas a system of linear equations that has no solution is ---select--- . need help?
The system of linear equations has at least one solution is consistent , whereas a system of linear equations that has no solution is inconsistent
What is a system of linear equations?
A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.
The subject of linear algebra, which is employed in most areas of contemporary mathematics, is based on the theory of linear systems. Numerical linear algebra includes computational strategies for obtaining the solutions, which are crucial to the fields of engineering, physics, chemistry, computer science, and economics. A helpful strategy when creating a mathematical model or computer simulation of a relatively complex system is to approximate a system of non-linear equations by a linear system (see linearization).
To know more about system of linear of equation........
https://brainly.com/question/14323743
#SPJ4
Select the correct answer!
Help asap thanks
The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
Calculating areaFrom the question, we are to determine the area of the shaded region
The area of the shaded region = Area of the semicircle - Area of the triangle
First, we will determine the diameter, d, of the semicircle
d² = 3² + 4² (Pythagorean theorem)
d² = 9 + 16
d² = 25
d = √25
d = 5
∴ Diameter of the semicircle is 5
Thus,
Radius, r = 5/2 = 2.5
Now,
Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)
Area of the shaded region = 1/2(π×6.25) - 1/2(12)
Area of the shaded region = 3.125π - 6
Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
Learn more on Calculating area here: https://brainly.com/question/14989383
#SPJ1
Wes can paint a certain room in 8 hours. Sally can paint the same room in 5 hours. How long will it take them working together to paint the room? Give a rational expression to solve the problem,(5 points) then solve the problem.(5 points) Round your answer to the nearest hundredth if necessary.
The time it takes them working together to paint the room is 3.08 hours
Rational expressionRational expression are equation written as a ratio of two expressions or equations.
If Wes can paint a certain room in 8 hours, she can paint 1/8 of the room in 1 hr
Similarly, if Sally can paint the same room in 5 hours, , she can paint 1/5 of the room in 1 hr
Determine the time it takes them to paint the room altogether.
Time together = x
Using the expression below to determine the value of x
1/x = 1/8 + 1/5
1/x = 5+8/40
1/x = 13/40
x = 40/13
x = 3.08
Hence the time it takes them working together to paint the room is 3.08 hours
Learn more on rational expression here; https://brainly.com/question/2264785
#SPJ1
If two qrs complexes are less than 15 mm apart (three large boxes), what does this signify?
What this has to signify would be the fact that there is a the spread of a stimulus through the ventricles.
What is the QRS complex?This is used to refer to the term that has to do with the combination of the different types of waves. These are the Q wave, the R wave as well as the S wave. This is used in ECG measurement. It has to do with the measurement of the chambers of a person heart to check its normal function.
When the ECG are in this category, it can be regarded as a high. This may put a person to have the more likelihood of having a death that is caused by coronary diseases.
Read more on the QRS complex here:
https://brainly.com/question/10842164
#SPJ1
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indica
Answer: GET BRAINLY PLUS FOR VERIFIED ANSWERS NOW
Step-by-step explanation:
NOW
look at the graph below. what is the slope of the line a. -3 b.-1/3 c.1/3 d. 3
Answer:
-1/3
Step-by-step explanation:
Slope is rise over run. Every 3 units to the left, it rises 1 unit, so the slope is -1/3.
b) Madan Bahadur deposited a sum of money at his bank account at the rate of 10% p.a.. After 5 years, he received Rs 1900, the net interest when 5% of the total interest was charged as income tax. Find, how much sum was deposited by him?
According to the total interest gained, the sum deposited by Madan Bahadur was Rs 4,000.
What is the formula for total interest?For the principal [tex]P[/tex] and the rate of interest [tex]r\%[/tex] per annum, the total interest after [tex]t[/tex] years is given by the formula: [tex]I=\dfrac{Prt}{100}[/tex].
Given that after 5 years Madan Bahadur got a net interest of Rs 1900 after charging 5% of the total interest as income tax where the rate of interest was 10% p.a.
Suppose the sum deposited was [tex]P[/tex] and the total interest was [tex]I[/tex].
So, the net interest would be [tex]I_n=I-I\times \frac{5}{100}=\frac{19I}{20}[/tex].
Now, given that the net interest [tex]I_n=1900[/tex]. So, we must have [tex]\frac{19I}{20}=1900\\\Longrightarrow I=\frac{1900\times 20}{19}\\\therefore I=2000[/tex] (1)
Thus, the total interest after 5 years is Rs 2,000.
Also, using the above formula for the total interest, the total interest of the sum [tex]P[/tex] at the rate [tex]r=10\%[/tex] p.a. after [tex]t=5[/tex] years would be [tex]I=\frac{Prt}{100}=\frac{P\times 10\times 5}{100}=\frac{P}{2}[/tex].
So, we must have from (1),
[tex]\frac{P}{2}=2000\\\Longrightarrow P=2000\times 2\\\therefore P=4000[/tex]
Therefore, according to the total interest gained, the sum deposited by Madan Bahadur was Rs 4,000.
To know more about total interest, refer: https://brainly.com/question/13005100
#SPJ9
The expression above can also be written in the form . For this expression, a = , b = , and c = . b 3 and 5/5
For this expression, the variables are equal to:
a = 15b = 7c = 4What is an expression?An expression is a mathematical equation which shows the relationship existing between two or more numerical quantities or variables.
Given the following expression:
[tex]\sqrt[4]{15^{7} }[/tex]
From the law of indices, we have:
[tex]\sqrt[c]{a^{b} } =a^{\frac{b}{c} } \\\\\sqrt[4]{15^{7} } =15^{\frac{7}{4} }[/tex]
For this expression, the variables are:
a = 15b = 7c = 4Read more on expressions here: https://brainly.com/question/12819629
#SPJ1
Answer: A = 15, B = 7, C = 4, I got it right
:)
The
accompanying
table shows the value
of a car over time that was purchased for
16700 dollars, where x is years and y is the
value of the car in dollars. Write an
exponential regression equation for this
set of data, rounding all coefficients to the
nearest hundredth. Using this equation,
determine the value of the car, to the
nearest cent, after 11 years.
Years (x) Value in Dollars (y)
0
1
2
3
4
5
6
16700
14370
12520
10301
9871
7982
6984
Using a calculator, the exponential regression equation for the data is:
y = 16615.21e^(-0.14x)
Using it, the estimate for the value of car after 11 years is $3,561.99.
How to find the equation of exponential regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points are given as follows:
(0, 16700), (1, 14370), (2, 12520), (3, 10301), (4, 9871), (5, 7982), (6, 6984).
Inserting these points in the calculator, the equation is:
y = 16615.21e^(-0.14x)
Hence the value of the car after 11 years is given by:
y = 16615.21e^(-0.14 x 11) = $3,561.99.
More can be learned about exponential regression at https://brainly.com/question/9302810
#SPJ1
where should i place the points!!! help!!
Answer:
-7
Step-by-step explanation:
A private jet flies the same distance in 10 hours that a commercial jet flies in 7 hours. if the speed of the commercial jet was 144mph less than 2 times the speed of the private jet, find the speed of each jet.
The speed of private jet is = 252 mph
The speed of commercial jet is = 360 mph
What is speed ?
Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector.Let the speed of private jet be x mph.
Then the speed of commercial jet will be = 2x - 144
Equation forms:
10x = 7 ( 2x - 144 )
Solving for x
10x = 14x - 1008
⇒ 10x - 14x = - 1008
⇒ - 4x = - 1008
⇒ x = 252
So, x = 252
Hence, the speed of private jet is = 252 mph
The speed of commercial jet is = = 2(252) - 144 = 360 mph
Learn more about speed
brainly.com/question/7359669
#SPJ4
A 10-acre parcel was sold for $3.50 per square foot. What was the total selling price for the parcel
Answer:
The total selling price for the parcel is 1,524,600 dollars.
Step-by-step explanation:
We are given that 10 acre parcel was sold for $3.50.
First we need to figure out how many square foot is in 10 acres.
when we convert 10 acres we get 435600 square feet.
Since we know that parcel was sold for $3.50 per square foot we simply multiply 435600 by 3.5 = 1,524,600
3. What is the greatest common factor for the two expressions? Use ^ to mean an exponent (use Shift +6 key). For example, 3x2 would be written as 3x^2. 15v³ and 12v² Write your response on the line below. Do not use any spaces or words.
The greatest common factor of the two expressions given as in the task content is; 3v².
What is the greatest common factor of the two expressions given?It follows from the task content that the terms whose greatest common factor are to be determined are: 15v³ and 12 v².
15v³ and 12v²
= 3v²(5v) and 3v²(4)
= 3v²(5v) and (4)
Consequently, in a bid to factorise the two expressions by means of their greatest Common factor, the greatest common factor can be determined as; 3v².
The correct answer choice which therefore represents the greatest common factor as required in the task content is; 3v².
Read more on greatest common factor;
https://brainly.com/question/219464
#SPJ1
A 164 ft^2
B 1233 ft^2
C 1395 ft^2
D 1557 ft^2
Answer:
B 1233 ft^2
Step-by-step explanation:
I hope this is right
