Answer:
14.7 cm
Step-by-step explanation:
Using Pythagoras Theorem,
The length of the other leg
[tex] = \sqrt{ {19}^{2} - {12}^{2} } [/tex]
[tex] = \sqrt{217} [/tex]
[tex] = 14.730919...[/tex]
= 14.7 cm (rounded to the nearest tenth)
Applicants for the University of Statland take two tests, one for writing ability and the other on critical thinking, and normalised scores are recorded on each between 0 and 1. For a given applicant, let XX be the score on the writing test and YY the score on the critical thinking test. A model for the joint probability density function for the two test scores can be taken as:
Answer:
hello your question is incomplete attached below is the complete question
answer : 1
Step-by-step explanation:
Given Function:
F(x,y)=[tex]\left \{ {{1/4(2x+y)} \atop {0}} \right.[/tex] for 0<x<1, 0<y<2
elsewhere.
Evaluating the marginal density of the writing test score at point
X = 1/2 = 1/4 ( 4x + 2 ) = 1/4 ( 4 * 1/2 + 2 ) = 1
attached below is the detailed solution
20. A biologist studied the populations of geckos and salamanders at Huntington Beach State Park over
a five year period. The biologist modeled the populations, in thousands, with the following polynomials
where x is time, in years.
Geckos: 9.7 x 2 - 0.8x + 2.3
Salamanders: -1.1 x2 + 7.7 x + 5.4
Which of the following polynomials models the total number of geckos and salamanders at Huntington Beach State Park?
Answer: b
Step-by-step explanation:
Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.
6. x2 – 20x + c
a. c = 64; (x – 8)2 b. c = 20; (x – 10)2 c. c = 100; (x + 10)2 d. c = 100; (x – 10)2
Answer:
d. c = 100; (x – 10)²
Step-by-step explanation:
Note that (x+a)²=x²+2ax+a².
In our case, 2a=-20, so 'a' must be -10.
Since c=a², and a=-10, c=(-10²)=100.
Since a=-10, the perfect square is (x – 10)²
It is estimated that 52% of drivers text while driving.
A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?
B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?
Answer:
a) 0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers
b) 0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.
Step-by-step explanation:
For each driver pulled, there are only two possible outcomes. Either they are texting, or they are not. The probability of a driver being texting is independent of any other drivers. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is estimated that 52% of drivers text while driving.
This means that [tex]p = 0.52[/tex]
A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?
This is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.52)^{3}.(0.48)^{2} = 0.324[/tex]
0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers.
B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?
None of the first four([tex]P(X = 0)[/tex] when [tex]n = 4[/tex]), and then the fifth, with 52% probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.52)^{0}.(0.48)^{4} = 0.0531[/tex]
0.0531*0.52 = 0.0276
0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.
graph a line with slope 1/3 and y-intercept -2
(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4
Answer:
C
Step-by-step explanation:
We want to find ratio of the area of the shaded region to the total area of the square.
First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:
[tex]A=(7)^2=49\text{ units}^2[/tex]
Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.
QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.
So, the area of ΔQRP is:
[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]
UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:
[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]
Therefore, the total area of the white region is:
[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]
Thus, the shaded region is:
[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]
Then the ratio of the shaded region to the total area of the square will be:
[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]
Our answer is C.
Find the greatest power of 3 that is divisible of 100!
Answer:
There is no greatest power of 3 that is divisible of 100.
Step-by-step explanation:
Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.
The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three radial tires, were chosen from different shifts over several days of operation, with the following results. Tread wear measurements are in hundredths of an inch. Sample Tread Wear 1 31 42 28 2 26 18 35 3 25 30 34 4 17 25 21 5 38 29 35 6 41 42 36 7 21 17 29 8 32 26 28 9 41 34 33 10 29 17 30 11 26 31 40 12 23 19 25 13 17 24 32 14 43 35 17 15 18 25 29 16 30 42 31 17 28 36 32 18 40 29 31 19 18 29 28 20 22 34 26 Assuming that these data were collected when the manufacturing process was believed to be operating in control, develop the R chart. Compute the upper and lower control limits for the R chart. (Round your answers to two decimal places.) UCL = LCL =
Answer:
LCL = 4.72
UCL = 18.08
Step-by-step explanation:
Sample size, n = 20
Sample _ tread wear, x __ Range
1 ______ 33.67 ___ 14
2______ 26.33 ___ 17
3 _____ 29.67 ____ 9
4 ______ 21 ______ 8
5 ______ 34 ______ 9
6 ______ 39.67 ___ 6
7 ______ 22.33 ___ 12
8 ______ 28.67 ___ 6
9 ______ 36 ______8
10 _____ 25.33 ___ 13
11 _____ 32.33 ____14
12 _____ 22.33 ___ 6
13 _____ 24.33 ___ 15
14 _____ 31.67 ___ 26
15 _____ 24 _____ 11
16 ____ 34.33 ____ 12
17 ____ 32 _______ 8
18 ____ 33.33 ____ 11
19 ____ 25 _______11
20 ___ 27.33 _____12
Sample mean, xbar = Σx / n = 29.167
Rbar = ΣR/ n = 11.4
The R chart control limit is given by :
Rbar(1 - 3(d3/d2))
From the R chart :
d3 = 0.729 ; d2 = 3.735
Hence,
LCL = 11.4(1 - 3(0.729/3.735))
LCL = 11.4(0.4144578) =
LCL = 4.72481892 = 4.72
UCL = 11.4(1 - 3(0.729/3.735))
UCL = 11.4(1.5855421)
UCL = 18.075180 = 18.08
Please help me, no links or random answers, please. When you are writing the answer please number it so I know which answer is for which question.
Answer:
Step-by-step explanation:
a. Y intercept is where the line crosses the y axis, so for l1 it’s (0,4). Answer is 4.
b. Y intercept for l2 is point (0,2). Answer is 2.
c. l1 gradient is -1/2. Rise/run
So l1 equation is y = -1/2x + 4
l2 gradient is 1.
Equation is y = x + 2
e. x+2= -1/2x + 4
1.5x = 2
x = 1.333...
y = plug into one of the equations value of x. So y = 3.333...
f. 1.33+ 2 = 3.33
-1/2 times 1.33 + 4 = 3.33 (rounded)
Divide by using long division:
(8x ^2+ 4x – 3) = (2x - 3)
Answer: Hello Luv......
The chosen topic is not meant for use with this type of problem. Try the examples below.
45665
8723
209÷32
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
Complete the following equation using <,>, or = 7___24/4
Answer:
<
Step-by-step explanation:
Have a Great Day!!!
pls help PLS PLS PLS PLS
20 POINTS
Answer:
Step-by-step explanation:
X squared over 6
+
2x cubed over 3
Answer:
x^2/6 + 2x^3/3
Step-by-step explanation:
I used (m)athway to simplify the expression
which one of the following piecwise graphs is not a function
Answer:
Perhaps this could be answered, if the graphs were included.
Step-by-step explanation:
Show all steps 2a=22
Answer:
Hello! answer: a = 11
Step-by-step explanation:
2 × 11 = 22 So therefore a = 11 HOPE THAT HELPS!
Pls help I need a good grade
A
Step-by-step explanation:
m+n
2..................
I NEED HELP NOW PLEASE
Answer: B : Stretches vertically by factor 3
Step-by-step explanation: Can you mark this brainliest if this is right?
What is the value of x?
Answer:
value we donnot know so we try to find it by equations
Answer:
Any number of possibilities...
Step-by-step explanation:
how to find the length of EF?
[tex]CD = \frac{HG + EF}{2} \Leftrightarrow EF = 2CD - HG[/tex]
[tex]2x - 2 = 2x - x + 3\\2x - 2x + x = 3 + 2\\x = 5[/tex]
[tex]EF = 2 * 5 - 2 = 10 - 2 = 8[/tex]
Answer: 8.
Answer:
EF=8
Step-by-step explanation:
HG=x-3
CD=x
EF=2x-2
Since HG is 3 less than CD, EF has to be 3 more than CD
x+3=2x-2
3+2=2x-x
5=x
x=5
HG=2
CD=5
EF=8
(Can Someone Help Answer This Problem) + No Links
Answer:
50 + 100n
Step-by-step explanation:
The cost is the cost of the visit plus the cost of the cavities
50 + 100n where n is the number of cavities
Answer:
P = 50 + 100*n
Step-by-step explanation:
1. The visit is $50
2. Additional cavity is $100
3. n cavities would cost 100*n
increase 53.20 by 7%
Answer:
56.924
Step-by-step explanation:
Step-by-step explanation:
Change the problem into something you recognize
7% = 7 x 10^-2 = 0.07
Multiply by this decimal
53.20 x 0.07 = a
Then add this to the original
53.20 + a
look at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)
Yolanda is planning out her square vegetable garden. One side 4 feet. How
can I represent the area with exponents? *
HELPP MEEE ASAP PLSS
Find the mode of the data. 65, 65, 60, 62, 60, 69, 60, 68, 63, 66 mode =
Answer:
60
Step-by-step explanation:
The mode is the value which occurs the most in the set. We see that 60 occurs three times, 62 occurs once, 63 occurs once, 65 occurs twice, 66 occurs once, 68 occurs once, and 69 occurs once.
Thus, the mode is 60.
Answer:
The mode is 60
Step-by-step explanation:
The mode is the number that appears most in the set of data. 60 appears the most, appearing 3 times.
What is the slope of the line that passes through the points (26, 7) and (-39, 12)?
A 11/13
Step-by-step explanation:
1
What is the equation for this word problem?:
Ravi needs to read 3 novels each month.
Let N be the number of novels Ravi reads in M months
Help!
Answer:
N = 3M
Step-by-step explanation:
[tex]3/11 divided by 44[/tex]
Answer:
3/484
Step-by-step explanation:
3/11 ÷ 44
~Turn whole number into a fraction and use copy dot flip
3/11 ÷ 44/1
3/11 * 1/44
3/484
Best of Luck!
Complete the statement.
63 mi
mi
h
sec
Please answer ASAP worth 25 points
Answer:
63miles/hour=63miles/[60×60]sec=
0.0175miles/sec
Answer this simple quick question!! Pls :)
Answer:
D
pls mark me as Brainiest :}
Step-by-step explanation:
i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer:
20% of them we flavored vanilla that day
Step-by-step explanation:
pls answer quick, I need an answer.
Steve bought a triangular mat to cover a corner of his room.