Answer:
image is attached (shaded area is where x could be)
Step-by-step explanation:
[tex]6x < 90[/tex]
divide both sides by 6
[tex]x < 15[/tex]
this means x is strictly less than 15
Consider △DEF with vertices D(−5,−3),E(−1,1), and F(3,−7). Find the coordinates of the vertices of the final image of △DEF after the similarity transformation.
REE A manufacturer of window frames knows from past experience that 10 per cent of the production will have some type of minor defect that will require adjustment. Suppose 20 window frames are selected at random: a. How many window frames would you expect to have minor defects? (2 points) b. Calculate the standard deviation for the number of window frames to have minor defects in this random sample of 20 window frames. (2 points) c. Calculate the probability that exactly 2 window frames will need minor . adjustment. (2 points) d. What is the probability that more than 3 window frames will need minor adjustments? (7 points)
Answer:
10% to decimal is equal to 0.1.
Therefore 20 x 0.1 = 2
Step-by-step explanation:
Each window is independently probable for having minor defects. The expected number of window frames having minor defects = 2.
Other figures are:
Standard deviation for the number of windows frames to have minor defects in this random sample of 20 window frames = 1.34 approx.P(Exactly 2 windows will need minor adjustment) = 0.285 approx.P(More than 3 windows will need minor adjustment) = 0.1329 approx.How to find that a given condition can be modeled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are:
[tex]E(X) = np[/tex][tex]Var(X) = np(1-p)[/tex]For the considered case, we can assume that each window is independent of each other for having defects or being perfect.
Each window can be having defects (call it success) or no defects(call it failure).
Then, we can take:
X = number of windows out of 20 windows being perfect (no defect).
Then we get:
Success = window having defectn = 20p = 10% = 0.10 (as given in the problem)[tex]X \sim B(n=20,p=0.1)[/tex]Evaluating each sub parts one by one:
Case a: How many window frames would you expect to have minor defects?Expect number of defective windows = E(X) = np = 20 × 0.1 = 2
Case b: Calculate the standard deviation for the number of window frames to have minor defects in this random sample of 20 window frames.Standard deviation is the positive root of variance.
Standard deviation of number of windows (out of 20 windows of sample) having defects = [tex]\sqrt{Var(X)} = \sqrt{np(1-p)} = \sqrt{2(0.9)} \approx 1.34[/tex]
Case c: Calculate the probability that exactly 2 window frames will need minor adjustment.P(X = 2) = [tex]^{20}C_2(0.1)^2(0.9)^{18} \approx 0.285[/tex]
Case d: What is the probability that more than 3 window frames will need minor adjustments?P(X > 3) = 1 - P(X ≤ 3)
[tex]P(X > 3) = 1 -[ P(X = 0) + P(X = 1) +P(X= 2)+ P(X = 3)]\\\\P(X > 3) = 1- [^{20}C_0(0.1)^0(0.9)^{20} +^{20}C_1(0.1)^1(0.9)^{19} +\\\: \:\: ^{20}C_2(0.1)^2(0.9)^{18} +^{20}C_3(0.1)^3(0.9)^{17} ]\\\\P(X > 3) \approx 1-[ 0.1216 + 0.2702 + 0.2852 + 0.1901]=1-0.8671=0.1329 \\\\P(X > 3) \approx 0.1329[/tex]
Thus, the needed figures are:
Expected number of window frames having minor defects = 2Standard deviation for the number of windows frames to have minor defects in this random sample of 20 window frames = 1.34 approx.P(Exactly 2 windows will need minor adjustment) = 0.285 approx.P(More than 3 windows will need minor adjustment) = 0.1329 approx.Learn more about binomial distribution here:
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Can someone help me ?
Answer:
Write a composition in French about a market day
1. Data with two variables is called *
A double data.
.
B bivariate data.
C split data
D bipedal data
Answer:
B. "bivariate data"
Quizlet fortunately had the same question with this answer, so here you go! :)
Lakesha gave three tenths of her cookies to Bailey and five tenths of her cookies to Helen. What fraction of her cookies did Lakesha give away?
eight tenths of her cookies
five tenths of her cookies
three tenths of her cookies
two tenths of her cookies
Answer:
three tenths
Step-by-step explanation:
It says Lakesha gave her 3 tenths of her cookies to Bailey and 5 to helen so you can't reduce that so it would have to be 8/10s
is encanto a good movie
Answer:
yes
Step-by-step explanation:
Answer:
Aah I don't like it but many people love it. It really depends on what kind of person you are
Solve for N
28/4 = 21/N
Answer:
n = 3
Step-by-step explanation:
28/4 = 21/n
7 = 21/n
7/7 = 21/7
n = 3
For similar triangles ABC and DEF, the value of N=3.
What is similarity?Similarity of a triangle is the ratio of their corresponding sides or angles which are equal.
The given triangles are ABC and DEF,
Side AB = 21, BC = 28, DE = N and EF = 4.
Also, triangle ABC is similar to triangle DEF.
By similar triangle property,
AB/CD = DE/EF
21/28 = N/4
N = 21/7
N = 3
In the triangle DEF, side DE = 3.
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5x3x4x6
plz give me an answer quickly
Answer:
360
Step-by-step explanation:
5 * 3 * 4 * 6 = 5 * 4 * 3 * 6 = 20 * 18 = 360
Answer:
360
Step-by-step explanation:
5x3=15
15x4=60
60x6=36
what are 5 good questions i can ask as an 8th grader to my teacher about mathematics
can include, functions, correlations,scattered plots, graph, equations,systems of substitution etc.
BRALIEST AND 40 POINTS
Answer:
Ask about the usage of euler's number in real world situations.
Ask about the usage of "i" for higher levels of math.
Ask about area under the slope.
Come up with some more stuff you are genuinely interested.
Step-by-step explanation:
Which inequality compares 2/4 and 5/6?
Answer:
2/4 is greater
Step-by-step explanation:
if you reduce 2/4 its 1/2 and 5/6 cant be reduced so therefor 2/4 is greater
PLEASE HELP ME ON THAT I REALLY NEEDED. Tell be the statement and the reason please also please do it in order because is on aleks. THANKS!
Answer:
CD = EC ⇒ proved down
Step-by-step explanation:
If a point lies on a segment, then it divides the segment into two parts, the sum of their length equals the length of the segment
Example:
If point Z lies on the segment XY, then Z divides XY into segments XZ and ZY, where XY = XZ + ZY
Let us use this fact to solve the question
∵ BD and EF intersected at point C
∴ C divides BD into two segments BC and CD
∴ C divides EF into two segments EC and CF
→ By using the fact above
∴ BD = BC + CD
∴ EF = EC + CF
∵ BD = EF ⇒ given
→ Equate their right sides
∴ BC + CD = EC + CF
∵ BC = CF ⇒ given
→ That means their adding segments are equal
∴ CD = EC ⇒ proved
3/5x3/5 as exponenttt help me
Answer:
i think it is 3/5 raised (^) to the 2nd
Step-by-step explanation:
obvioulsy if its an exponent and seeing that you put it 2 time you have the original number and just raise its power by how many times its being multiplied! its easy, you got this champ!
Help math math please please
Answer:
[tex]\displaystyle 7x + 9y = 45[/tex]
Step-by-step explanation:
y = –⁷⁄₉x + 5
+ ⁷⁄₉x + ⁷⁄₉x
___________
⁷⁄₉x + y = 5 [We CANNOT leave the equation like this, so multiply by 9 to eradicate the fraction.]
9[⁷⁄₉x + y = 5]
[tex]\displaystyle 7x + 9y = 45[/tex]
I am joyous to assist you at any time.
what is the circumference of the circle if r = 3.5 feet? use 22/7 for pi
Answer:
22 feet
Step-by-step explanation:
the formula for the circumference of a circle is 2πr where r is the radius of the circle. this can also be written as πd where d is the diameter of the circle (because the diameter is 2×r)
2×3.5=7
(22/7)×7=22
What is the solution of the system of equations below?
y = x + 2
y = 3x
Answer:
x=1,y=3
Step-by-step explanation:
Does ARE NOT tell me to ADD or SUBTRACT?
Answer:
What is the question??
Step-by-step explanation:
Please help!
Recently, the National Safety Council collected data on the leading causes of accidental death. The findings revealed that for people age 20, 30 died from a fall, 47 from fire, 200 from drowning, and 1950 from motor vehicle accidents. What percent of the accidental deaths were not attributed to motor vehicle accidents? Round to the nearest percent.
Answer:
10% were not attributed to motor vehicle accidents.
Step-by-step explanation:
Kady took 83 Tootsie Rolls to give to Mrs. Kilongkilong's 6th
grade class. After passing out one Tootsie roll to each student,
Kady had 25 left over. Which equation could Kady use to figure
out how many students are in Mrs. Kilongkilong's class?
8 = 83 x 25
8 = 83:25
S =
= 25 - 83
8 = 83 - 25
I need help
Step-by-step explanation:
83 - 25 should be the right answer
Find the equation of the line with slope 25 and y-intercept (0,−2).
answer: Equation of line is : Y = mx +b
Y intercept is origin ( 0,0)
Therefore :
Y = 6/5 X
All lines passing through origin have equation:
Y = mX
Answer: y= 2x/5 -2
Step-by-step explanation:
y=mx+b
y=2/5x + (-2)
y=2x/5 -2
Use an area model to multiply (4x+3)(2x+5)
Fill in the blanks with the correct numbers.
Answer: [tex]12^{2}[/tex] + 43x + 35
Answer: I took the test and got 8x^2 + 26x + 15
I hope this helped!
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 36 and DC = 8, what is the length of BD in simplest radical form?
The length of BD is 16.97.
TrigonometryTo determine, given that right triangle ABC with altitude BD is drawn to hypotenuse AC, if AD = 36 and DC = 8, what is the length of BD in simplest radical form, the following calculation must be performed:
Hypotenuse AC = AD + DC = 36 + 8 = 44Altitude = square root of the multiplication of AD and DC√(36 x 8) = X√288 = X16.97 = XTherefore, the length of BD is 16.97.
Learn more about trigonometry in https://brainly.com/question/26719838
Which inequality is represented by the graph?
A. y≥−1/2x+2.5
B. y>−2x+2.5
C. y≤−2x+2.5
D. y≥−2x+2.5
Determine the absolute value. Type the numerical answer only. |10|
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
The answer is 10 because:
1) Absolute value makes all negative or positive numbers positive (unless there is a negative sign outside the absolute value sign).
2) Therefore, the absolute value of 10 is positive 10.
Hope this helps! :D
72 hundredths is ______ hundredths and _________hundredths, or 7 ________and 2 _____
Answer:
7 hundredths
2 tenths
Step-by-step explanation:
7 is in the hundredths place and there is no zero so then to would be in the tenths place
Ms.Barton ate an impressive number of slices, but Mr.weaver ate eight more slices than Ms.Barton did. Mr.Fitzgerald ate fifteen Fewer slices than twice as many as Ms.Barton did. Mr.Lloyd’s total was more thirty than half of Ms.Barton’s
If the teachers ate a total of 176 slices of pie, what was the finishing order of the contest and how many slices did the winner eat?
Let:
Ms. Barton = b
Mr. Weaver = b + 8
Mr. Fitzgerald = 2b - 15
Mr. Lloyd = 1/2b + 30
Find b:
176 = b + b + 8 + 2b - 15 + 1/2b + 30
176 = 9/2b + 23
153 = 9/2b
b=34
Plug in 9 to b:
Ms. Barton = 34 slices (4th place)
Mr. Weaver = 34 + 8 = 42 slices (3rd place)
Mr. Fitzgerald = 2(34) - 15 = 53 slices (1st place)
Mr. Lloyd = 1/2(34) + 30 = 47 slices (2nd place)
in each linear equation, identify the slope (m) and the y-intercept (b)
Hey there!
Let's find the slope & y-intercept of each equation.
The first one is y=4x-5.
Please remember that
In slope-intercept equations. the slope is the coefficient of x (the number before x)Also, the y-intercept is the number/variable that's added/subtracted to/from the slope.In other words, in slope-intercept form (y=mx+b), m is always the slope and b is the y-intercept.
Therefore, the slope of the first linear equation is 4, and the y-intercept is -5.
or
m=4, b=-5 (option A)
Same with the other equation:
m=-1, b=2/3 (option C is the right option)
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
Please answer this correctly without making mistakes
The front side of a warehouse is shown in this scale drawing. The width of the warehouse door in the drawing is 2.6 inches.
The scale that maps the drawing to the actual warehouse is 1 inch to 3.5 feet.
Answer:
the width of the door is 9.1 feetStep-by-step explanation:
2.6 feet into parts =
1 in
1in
0.6in
1in = 3.5 ft
3.5+3.5=7
0.6x3.5=
6x35=210
add the points,
2.10 or 2.1
0.6=2.1
7+2.1=9.1
so hence, your answer is 9.1 feet
Thanks!
You have to have 2 or more smiles so that you can share them to another person who doesn't have one.
:D
PLEASE HELP ME
I don’t understand
Answer: Learn
Step-by-step explanation:
Me neither, stop cheating and pay attention in class.
Answer:
75 degrees and 105 degrees.
Step-by-step explanation:
So this is a transversal. We can use a couple different methods to solve this. We can use many different theorems to solve this problem. So we know that m<2=m<4 because of vertical angles, we also know that m<4=m<6 because of alternate interior angles. We also know that m<6=m<8 because of vertical angles. So we know that m<2=m<4=m<6=<8. In a transversal, there are only two different measurements. And those two different measurements add up to 180 degrees. So since once of the measurements is 75, that means the other measurement has to be 105 degrees. Also, we see that m<4 and m<5 are same side interior angles and according to that theorem, they have to equal up to 180 degrees.
Suppose you borrow $1,000 for 5 years at an add-on interest rate of 6%, what is the approximate APR? Round your answer to one decimal place. Include the correct unit.
The approximate APR generated when you borrow $1,000 for 5 years at an add-on interest rate of 6%, = $300
Calculation of Annual percentage rateAnnual percentage rate is defined as the yearly interest generated by a sum that's charged to borrowers.
The formula for APR = p×t×r/100
The principal amount deposited (p)= $1000
Time (t) = 5 years
At the rate (r) = 6%
Therefore APR=
[tex] \frac{p \times t \times r}{100} [/tex]
[tex] \frac{1000 \times 5 \times 6}{100} [/tex]
[tex] \frac{30000}{100} [/tex]
APR = $300
Therefore, the approximate APR = $300
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