Answer:
(a)
Number of cars with defective turn signals = 65
Number of cars with no defective turn signals = 410 - 65 = 345
Required probability:
P = 345/410*100% ≈ 84.15%(b)
Number of cars with defects = 65 + 35 = 100
Number of cars with no defects = 410 - 100 = 310
Required probability:
P = 310/410*100% ≈ 75.61%Which graph is a function?
Answer:
B
Step-by-step explanation:
A function is a relation in which each input, x, has only one output, y.
There are two ways to determine if a relation is a function:
1. If each x-input has only one, unique y-output, then it's a function. If some x-inputs share the same y-outputs, it's not a function.
2. Vertical Line Test on Graphs:
To determine whether y is a function of x, when given a graph of relation, use the following criterion: if every vertical line you can draw goes though only 1 point, the relation can be a function. If you can draw a vertical line that goes though more than 1 point, the relation cannot be a function.
Since we're given a graph relation, let's test both of the answers out.
If I were to draw a vertical line in a specific place on the first graph, I'd be hitting more than one point in the coordinate plane.
If I were to draw a vertical line in a specific place on the second graph, I'd only be hitting one point in the coordinate plane.
Therefore, choice B is a function.
Write a number in which the value of the 3 is ten times as great as the value of 3 in 135,864
Answer:
Step-by-step explanation:
the 3 in 135,864 is 30,000
if you mutiply that by 10 you get 300,000
you just need to write any number with a 3 in the hundred thousands place
If A={2,3,5,7} and B={2,4,6,8} then what is AnB?
Answer:
A∩B = {2}Step-by-step explanation:
It asks for the common set of A and B.
There only one element common to both the given sets:
A={2,3,5,7} and B={2,4,6,8} ⇒ A∩B = {2}Answer:
A ∩ B = {2}Step-by-step explanation:
∩ == this symbol stands for the common element/set
So according to this question you have to find the element which is common for both A and B sets.
A = { 2,3,5,7}B = {2,4,6,8}So now you can see that only number 2 is common for both.
So, the answer is,
A ∩ B = {2}At the Olympic games, many events have several rounds of competition. One of these events is the men's 100100100-meter backstroke. The upper dot plot shows the times (in seconds) of the top 888 finishers in the semifinal round at the 201220122012 Olympics. The lower dot plot shows the times of the same 888 swimmers in the final round. A dot plot is divided into 2 parts labeled, Semifinal Round and Final Round. The horizontal axis is labeled, Time, in seconds, from 52 to 54, in increments of 0.10 second. The portion of the dot plot dedicated to Final Round has dots above the following points; 52.2, 52.3, 52.8, 53.1, 53.2, 53.3, 53.5, and 53.8. The portion of the dot plot dedicated to Semifinal Round has dots above the following points; 52.7, 53, 53.3, 53.3, 53.5, 53.5, 53.5, and 53.7. Which pieces of information can be gathered from these dot plots? (Remember that lower swim times are faster.)
Answer: None of the above.
Step-by-step explanation:
I got it right on khan. I’ll explain a little though. Semifinals median=47.05. Finals median=53.05. Therefore A is not and option and B is DEFINITLEY not an option. Sorry I’m not good at explaining
Answer:
None of the above
Step-by-step explanation:
Got it right on test
An object travels along the x-axis so that its position after t seconds is given by x(t) = 2t2 – 5t – 18 for all times t such that t ≥ 0.
Which inequality describes all times t for which the object is traveling toward the right?
the function is given, and it's value is where the object is ("how far to the right").
so as long as it rises (going more right), this will be apply.
in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.
for the first 1.25 seconds the object goes to the left, and after that always to the right.
since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.
x(t) = 2t² – 5t – 18
x'(t) = 4t -5
x'(t) = 0
0 = 4t -5
5 = 4t
1.25 = t
plugging it into the second derivative
x''(t) = 4
x''(1.25) = 4
it's positive, so at t=1.25 there is a low point
(of course the second derivative is constant anyways.)
the object is traveling toward the right
the object is traveling toward the rightfor t > 1.25
The object is moving to the right, for t > 1.25, the object is moving in a rightward direction.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
An object travels along the x-axis so that its position after t seconds is given by:
x(t) = 2t² – 5t – 18
x'(t) = 4t - 5
x'(t) = 0
4t -5 = 0
t = 5/4 = 1.25 seconds
x''(t) = 4
x''(1.25) = 4
x''(1.25) > 0
At t = 1.25 the object travels at a low point.
Thus, the object is moving to the right, for t > 1.25, the object is moving in a rightward direction.
Learn more about the inequality here:
brainly.com/question/19491153
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A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for .
4 in.
6 in.
O A = 38.13 square inches, P = 32.84 inches
O A = 80.52 square inches, P = 32.84 inches
O A = 38.13 square inches, P = 23.42 inches
O A = 80.52 square inches, P = 23.42 inches
9514 1404 393
Answer:
(c) A = 38.13 square inches; P = 23.42 inches
Step-by-step explanation:
The radius of the circle is half the diameter, so is 3 inches. This means the entire figure will fit in a rectangle 6 inches wide and 4+3 = 7 inches high. The perimeter of such a rectangle is ...
P = 2(L+W) = 2(7+6) = 26 inches
The area of that rectangle is ...
A = LW = (7)(6) = 42 square inches
Then area of the given figure is less than 42 square inches, and the perimeter is less than 26 inches. The only answer choice that matches these bounds is ...
A = 38.13 square inches; P = 23.42 inches
Having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old. They can afford to save $440 per month. They place the money into an annuity that pays 5.5% per year, compounded monthly. How much will they have to spend on a car after 4 years?
having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old
find the value of x²-6x+13 when x=3+2i
Answer:
18
Step-by-step explanation:
x squared -6 +13
5 squared-6×3+2+13
25-20+13
5+13
=18
Một miếng đất hình chữ nhật có chu vi 80 mét.Nếu kéo dài thêm 8 mét nữa thì diện tích tăng thêm là 72 mét vuông.Tính chiều dài và chiều rộng hình chữ nhật ban đầu ?
Answer:
Step-by-step explanation:
(D+R) = 80:2 = 40
D = 40-R
(D+8) * R = 72X
Thay D=40-R
(40-R+8)*R = 72X
R=1.55, D=38.45
In an episode of the old school version of the game show Family Feud, 43 out of a random sample of 100 people said they pick their noses at red lights. Find a 95% confidence interval of the proportion of all people who pick their noses at red lights. Be sure to interpret your answer
Answer:
[tex]P_{95\%}=(0.333,0.527)[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=100[/tex]
Selected sample [tex]x=43[/tex]
Confidence Interval [tex]CI=95\%[/tex]
Significance Level [tex]\alpha=0.05[/tex]
Probability of picking nose is
[tex]P=\frac{x}{n}[/tex]
[tex]P=\frac{43}{100}[/tex]
[tex]P=0.43[/tex]
Generally the equation for standard error is mathematically given by
[tex]S.E=\sqrt{p*(1-p)}{n}[/tex]
[tex]S.E=\sqrt{0.4*(1-0.57)}{100}[/tex]
[tex]S.E=0.0495[/tex]
Therefore
The proportions 95\% interval is
[tex]P_{95\%}=[P-1.96x SE(P),P+1.96*SE(P)][/tex]
[tex]P_{95\%}=(0.43-1.96*0.0495,0.43+1.96*0.045)[/tex]
[tex]P_{95\%}=(0.333,0.527)[/tex]
Find the APR, rounded to the nearest tenth of a percent (one decimal place) for the loan. Purchase a living room set for $4,900 at 8% add-on interest for 4 years. Enter only the number without % sign.
9514 1404 393
Answer:
14.3%
Step-by-step explanation:
We assume this question is asking for the annual interest rate for an amortized loan that would produce the same total repayment amount as if 8% simple interest were added to the $4900 loan amount. There is no formula for that, but there are a number of apps and spreadsheets that can calculate it. In the attached, we have use a graphing calculator.
The APR is about 14.3%.
_____
The amount to be repaid is calculated using the simple interest formula:
A = P(1 +rt) = $4900(1 +0.08·4) = $6468
Then the required monthly payment (for 48 months) is ...
$6468/48 = $134.75
__
The payment amount for a 48-payment loan at rate r on a principal of $4900 will be ...
A = 4900(r/12)/(1 -(1 +r/12)^-48)
In the attachment, we show the value of r (in percent) that would make the payment amount A be $134.75. We have done this by casting the problem in the form f(r) = 0 and looking for the x-intercept of f(r).
_____
Additional comment
The second attachment uses a spreadsheet for the same purpose. Here, we have used Go.ogle Sheets with a "Goal Seek" add-on to adjust the value in cell B5 so that the computed payment on the loan (cell B6) is the same as the value we calculated in cell B4.
We found the graphing calculator solution to be much quicker, though in that case we actually had to know the formula to use to calculate the payment. The payment formula is built into the spreadsheet.
What are the coordinates of point K?
A (-2,4)
B (-2,-4)
C (2,-4)
D (2, 4)
Answer:
A
Step-by-step explanation:
I guess that is the answer
a. 1140
b. 1130
c. 1120
d. 115
Answer:
1130
Step-by-step explanation:
1109+7 = 1116
1116+7 = 1123
Adding 7 each time
1123+7 = 1130
6 + 7* log base 2 of x = 21
6 + 7* log base 2 of x = 21
Answer:
Step-by-step explanation:
16: The temperature yesterday at noon was 68.5 degrees. Today at noon
it was 59.9 degrees. What was the difference in temperature?
O A. 8.4 degrees
OB. 8.5 degrees
C. 8.6 degrees
O D. 8.7 degrees
Answer:
C
Step-by-step explanation:
It is 8.6 because we are finding the difference and using subtraction.
So I did 68.8-59.9 and I got 8.6
A line has a slope of 11 and passes through the point (5,7). Which of these is an equation for the line? O A. y-7 = -11(x - 5) B. y + 7 = 11(x + 5) O C. y-5 = -11(x - 7) O D. y - 7 = 11(x - 5) SUBMIT
Answer:
D. y - 7 = 11(x - 5)
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Plug in the given slope and point:
y - y1 = m(x - x1)
y - 7 = 11(x - 5)
So, the correct answer is D. y - 7 = 11(x - 5)
A sample of 4 different calculators is randomly selected from a group containing 14 that are defective and 34 that have no defects. What is the probability that at least one of the 4 calculators in the sample is defective
Answer:
The answer is "0.7616".
Step-by-step explanation:
Using formula:
[tex]\text{P( at least one de-fective) = 1 - P( all calculators work )}[/tex]
[tex]= 1-(\frac{34}{48}\times \frac{33}{47}\times \frac{32}{46}\times \frac{31}{45})\\\\= 1-(\frac{34}{1}\times \frac{11}{47}\times \frac{1}{23}\times \frac{31}{45})\\\\=1-(\frac{11594}{48647})\\\\=\frac{48647-11594}{48647}\\\\=\frac{37051}{48647}\approx 0.7616[/tex]
find the LCM of 210, 280, 360 by prime factorisation
Answer:
Step-by-step explanation:
210=2x3x5x7
280=2x2x2x5x7
360=2x2x2x3x3x5
Answer:
210= 2×3×5×7
280=2×2×2×5×7
360=2×2×2×3×3×5
common factors=2×2×2×3×5×7=840
uncommon factors=3
L.C.M=Common factors× uncommon factors
L.C.M=840×3
L.C.M=2520
Step-by-step explanation:
i hope it will be helpful
plzz mark as brainliest
Please helpppppp i need help…
///..
ASAP!!!!
!!!,,!!!!!!
Answer:
True
Step-by-step explanation:
64 - x^2
Rewriting as
8^2 - x^2
(8-x)(8+x)
This is the difference of squares
Samuel had 12 red marbles , 15 blue marbles , and 13 green marbles . Which fraction represents the number of red marbles he has
Answer:
12/40 or simplified it would be 3/10
Step-by-step explanation:
You plan to charge $1 for each time a student plays, and the payout for a win is $5. According to your calculations, the probability of a win is .05. What is your expected value for this game? The expected value
Answer:
- $0.75Step-by-step explanation:
For each game played the chance of winning is 0.05 and losing is 0.95.
If the student wins, they get $5 -$1 = $4, but they lose $1.
Expected value is:
4*0.05 - 1*0.95 = -0.75It means you will make $0.75 per average game.
Answer:
21.8
Step-by-step explanation:
Step 1
This is a problem on finding the mean of continuous grouped data. We first find the midpoint of each interval. For example, the first interval or class is 0 - 10. The mid-point of this class will be (0 + 10)/2 = 5.
fullscreen
Step 2
We now calculate the product of mid-point and frequency for each class. Here, the number of athletes in each class is the frequency of that class. For example, for the first class 0 – 10, its frequency is 3.
fullscreen
Step 3
We can now use the formula to calculate mean. Note that t...
Calculate the range and the standard deviation for the set of numbers.
6,5, 1, 5, 8, 5, 3, 5, 4,7
The range is
(Simplify your answer.)
Can I please get help with this problem?
Answer:
When time is short and you just want a rough estimate of the standard deviation, turn to the range rule to quickly estimate the standard deviation value. The standard deviation is approximately equal to the range of the data divided by 4. That's it, simple.
visually demonstrate the following value using the hundred square below
Answer:
just fill in 40 squres
Step-by-step explanation:
OLVE
(a) 3^2x+1=9^
2x-1
Answer:
x=2
Step-by-step explanation:
you first have to make the bases the same
3^2x+1=9^2x-1
3^2x+1=3^2(2x-1) if you make the bases the same you will use 3^2 because it's equal to 9
3^2x+1=3^4x-2
2x+1=4x-2
2x-4x=-2-1
-2x/-2=-4/-2
x=2
I hope this helps
I WILL GIVE BRAINLEST FAST PLEASE ANSWER THE QUESTION IN THE IMAGE
Answer:
Cannot be determined
Step-by-step explanation:
We only know one angle and we could only compare one set of sides.
We do not have enough information to determine if the triangles are similar
What is the surface area of a cylinder that has a radius of 7 m and a height of 18 m?
879.65 m2
1099.56 m2
615.75 m2
395.84 m2
1099.56m² is the surface area of a cylinder that has a radius of 7 m and a height of 18 m.
Please help me with this question
Find the difference between each number:
-11 to -3 is +8
-3 to 5 is +8
The difference is 8
Use the following formula:
Bn = b1 + d(b -1)
Answer: bn = -11 + 8( b-1)
What is the are of the polygon below!help please!
Answer:
Area= 525
Step-by-step explanation:
14x9=126
3x7=21
14x27=378
126+21+378=525
Write the sum using summation notation, assuming the suggested pattern continues.
100 + 121 + 144 + 169 + ... + n2 + ...
100 = 10², so the sum you're considering is the sum of squared integers starting with 10.
[tex]\displaystyle 100+121+144+168+\cdots+n^2+\cdots = \boxed{\sum_{k=10}^\infty k^2}[/tex]
Find the length of the missing side. If necessary, round to the nearest tenth.
A. 22
B. 15.6
C. 44
D. 484
Answer:
Option B, 15.6
Step-by-step explanation:
Using the Pythagoras theorem,
√(11²+11²)
= √(121+121)
= √(2×121)
= √121×√2
= 11√2
= 15.6
Answered by GAUTHMATH
Option B - 15.6 is Correct.
We have a figure in which a right angled triangle is shown with it base (b) = 11 and perpendicular(p) = 11.
We have to find the value of c or hypotenuse (h).
What is Pythagoras theorem?According to the Pythagoras theorem : for a right angled triangle -
[tex](h)^{2} = (b)^{2} +(p)^{2}[/tex]
According to the question -
[tex]b =11\\p =11\\h=c[/tex]
Substituting the values, we get -
[tex]c^{2} = (11)^{2} + (11)^{2} \\c^{2} = 121 + 121\\c^{2} =242\\c=15.55[/tex]
Rounding to nearest 10, we get -
c = 15.6
Hence , Option B is correct.
To solve more questions on Pythagoras theorem, visit the following link -
https://brainly.com/question/8587612
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