Probabilities are used to determine the chances of events
The probability that two are nearsighted and one is not, is 0.0645
How to determine the probabilityThe given parameters are:
n = 3 -- the number of Australians selected
r = 2 --- the number that are nearsighted
p = 16% --- the proportion that are nearsighted.
The probability that two are nearsighted and one is not, is calculated using the following binomial probability formula
[tex]P(x = r) = ^nC_r * p^r * (1 -p)^{n-r}[/tex]
So, we have:
[tex]P(x = 2) = ^3C_2 * (16\%)^2 * (1 -16\%)^{3-2}[/tex]
[tex]P(x = 2) = 0.0645[/tex]
Hence, the probability that two are nearsighted and one is not, is 0.0645
Read more about probability at:
https://brainly.com/question/25870256
Quadratic Formula x2+ 10x + 28 = 3
OP - Operations with Polynomials Discussion
Let's say we are given three functions with the same domain.
a(x),
b(x), and
c(x), where c(x) = a(x) + b(x)
Each function has a maximum value (doesn't go to infinity, but rather stops at a maximum point).
S = the maximum value of a(x),
T = the maximum value of b(x), and
R = the maximum value of c(x).
Could there be a scenario where S + T = R for all cases? Is this always the case?
In this discussion, we will not fully answer the question (at first) but rather help each other come to a conclusion by posting an original argument of a case where S + T = R or a case where S + T ≠ R.
You must fully explain your case with equations or a picture using a graphing calculator (Links to an external site.).
Explanation:
S + T = RSuppose we define ...
a(x) = 2x, for 0 ≤ x ≤ 1
b(x) = x^2, for 0 ≤ x ≤ 1
Then we have the following:
c(x) = a(x) +b(x) = 2x +x^2, for 0 ≤ x ≤ 1
S = max(a(x)) = a(1) = 2
T = max(b(x)) = b(1) = 1
R = max(c(x)) = c(1) = 2 +1 = 3
This value of R satisfies S + T = R.
We note that for x=p=1, we have S = a(p), T = b(p), and R = c(p). The first attachment illustrates this case.
__
S + T ≠ RSuppose we define ...
a(x) = x, for 0 ≤ x ≤ 1
b(x) = 1 -x^2, for 0 ≤ x ≤ 1
c(x) = a(x) +b(x) = x + 1 -x^2, for 0 ≤ x ≤ 1
Then we have the following:
S = max(a(x)) = a(1) = 1
T = max(b(x)) = b(0) = 1
R = max(c(x)) = c(0.5) = 1.25 ≠ 1 + 1 = 2
This value of R does not satisfy S + T = R.
We note that for p, q, r we have S = a(p), T = b(q), R = c(r) and p≠q≠r. The second attachment illustrates this case.
Please help me with #5 !?
Answer:
4/15
Step-by-step explanation:
to find out the portion that is shaded we can do the following:
1 - (1/3 + 2/5)
now we want a common denominator, we can use 15:
15/15 - (5/15 + 6/15) → 15/15 - 11/15
the answer is 4/15
Answer:
1 over 3 is the answer have a nice night
if f(x)=3x-12 what is f(-2)
Step-by-step explanation:
f(-2) = 3(-2) - 12
→ -6 - 12 = -18 ans.
hope this helps you !
(5r+2)(3r-4 WHAT IS THE PRODUCT
Answer:
152−14−8
Step-by-step explanation:
Answer: The product is: 9r-28
Step-by-step explanation:
(5r+2)(3r-4)
5r x 3r = 15r
5r x -4 = -20r
2 x 3r = 6r
2 x -4 = -8
Put it all together:
15r-20+6r-8
Then simplify:
9r-28
Jim dan and David share some sweets in the ratio 5:4:5. Jim gets 65 sweets. How many did dan get?
Answer:
52
Step-by-step explanation:
I'm pretty sure the answer is 52.
In Jim and Dave each got 5 and David got 4 then :
65/5 = 13
65 - 13 = 52
or
5 4 5
10 8 10
15 12 15
20 16 20
25 20 25
30 24 30
35 28 35
40 32 40
45 36 45
50 40 50
55 44 55
60 48 60
65 52 65
£396 in the ratio 5:4
help please
Answer:
5 : 4 10 : 8 15 : 12 20 : 16 25 : 20
30 : 24 35 : 28 40 : 32 45 : 36 50 : 40
55 : 44 60 : 48 65 : 52 70 : 56 75 : 60
80 : 64 85 : 68 90 : 72 95 : 76 100 : 80
105 : 84 110 : 88 115 : 92 120 : 96 125 : 100
130 : 104 135 : 108 140 : 112 145 : 116 150 : 120
155 : 124 160 : 128 165 : 132 170 : 136 175 : 140
180 : 144 185 : 148 190 : 152 195 : 156 200 : 160
205 : 164 210 : 168 215 : 172 220 : 176 225 : 180
230 : 184 235 : 188 240 : 192 245 : 196 250 : 200
255 : 204 260 : 208 265 : 212 270 : 216 275 : 220
280 : 224 285 : 228 290 : 232 295 : 236 300 : 240
305 : 244 310 : 248 315 : 252 320 : 256 325 : 260
330 : 264 335 : 268 340 : 272 345 : 276 350 : 280
355 : 284 360 : 288 365 : 292 370 : 296 375 : 300
380 : 304 385 : 308 390 : 312 395 : 316 400 : 320
405 : 324 410 : 328 415 : 332 420 : 336 425 : 340
430 : 344 435 : 348 440 : 352 445 : 356 450 : 360
455 : 364 460 : 368 465 : 372 470 : 376 475 : 380
480 : 384 485 : 388 490 : 392 495 : 396 500 : 400
Online Ratio Solver
Use this online tool to solve for the unknown value in the proportion.
4
:
3
=
1440
:
d
Ezoicreport this ad
What is a Ratio?
A contrast, which exists between two particular numbers, is defined as ratio. Our ratio calculator is developed to compute this contrast and find out the relationship between these numbers.
How to Calculate Ratios
In order to keep numbers in direct relation you should first divide or multiply, which depends on your task, them in the ratio. Therefore, a ratio of 8/6 is an equivalent ratio of 4/3: in that particular ratio calculation, you should just multiply 4, as well as 3, by 2.
Y
Find the area of the polygon
A) 59 square units
B) 65 square units
C) 72 square units
D) 83 square units
Answer:
B) 65 square units
Step-by-step explanation:
Triangle[SUT]=4.8/2=16
Trapezoid [SUQR]=(8+6).7/2=49
16+49=65
Shawn used 6 cups of sugar to make 8 quarts of frozen yogurt. How much sugar is needed for one quart of yogurt?
Answer:
for each quart of yogurt, there needs to be 3/4 or 0.75 of a cup of sugar.
we know this since the ratio for cups of sugar to quarts of yogurt is 3:4. which means that for each ONE quart of yogurt there needs to be 3/4 or .75 cups of sugar
is the point(-1,4) a function
Answer:
Yes. This relation is a function.
Step-by-step explanation:
Since there is one value of y for every value of x in (−1,4), this relation is a function.
2 4/5 divided by (6 divided by 2 1/2)
i really need help this is from my little sister she is in 4th grade and doesn't know how to do this.....
2 4/5÷(6÷2 1/2)
2 4/5÷2 2/5
1 1/12
HELP HELP HELP HELP help pls help
Answer:
supplementary
Step-by-step explanation:
angles that are over 90° that over all equal to 180° are supplementary. 156° is over 90° and adding 24° is simple math, meaning 156+24=180
hope this helps
What is the solution to the equation?
3(x+9)^3/4 = 24
A. -3
B. 6
C. 7
D. 25
Answer:
C. 7
Step-by-step explanation:
I hope this helped! Have a great day!
Lilac~
Answer:
c=7
Step-by-step explanation:
Which graph represents a function?
[PLS HELP]
Answer:
A
Step-by-step explanation:
It's the only one that passes the vertical line test
Find the measures of the numbered angles in the rhombus.
there is four angles I need someone plz help
keeping in mind that in a rhombus the diagonals always meet at right-angles, Check the picture below.
Elmer works 65 hours and is paid $12.50 per hour. How much did Elmer earn?
1. Heaven hasn markers. Miley has marker fewer than twice the number of
markers Heaven has. Write and simplify an expression for the total number of
markers they have.
Answer:
hey are you new i love this app so much a get my answers right evarytime but i dont have any folowers but thats okay its the thaught that counts wright
At a certain school, 7/8 of the students are boys. Today, 3/4 of the boys brought their lunch. What fraction of the students are boys who brought their lunch today?
Answer:
6/8
Step-by-step explanation:
7/8 of students are boys and we need a fraction that matches the denominator. 3/4 can also be represented as 6/8 if you multiply by 2. therefore, 6/8 boys brought lunch.
Mr.O’Donnell bought 3 shirts for x dollars. He also bought shoes for $100. If he spent $160, how much did each shirt cost
Answer:
$20
Step-by-step explanation:
3x + 100 = 160
3x = 60
x = 20
10. Mr. Larsen ran out of gas 10
kilometers from the nearest gas
station. He walked 4.2 km and stopped
to rest. Then, he walked 2.1 km before
resting again. How much farther does
he have to walk?
F
G
1.1 km
3.7 km
4.7 km
5.3 km
H)
J
Answer:
3.7 km further to walk
Step-by-step explanation:
Distance to travel to gas station = 10km
Distance remaining is (10km - distances walked)
(10km - 4.2km - 2.1km)
(10km - 6.3km)
3.7 km further to walk
Please help me!!!!!!!!!!
Answer:
The answer is One Solution
The answer is One Solution
PLEASE HELP (image attached)
Answer:
1: 3 choice 2: choice 1
Step-by-step explanation:
6x+9+5x-20 = 11x -11
x-8 - 3x - 3 = -2x-11
the radius of a circle is 9 times of the radius of a smaller circle. the area of the smaller circle is 50 square cenimeters. what is the area of the larger circle
Answer:
4050 cm²
Step-by-step explanation:
This is a question of scale factors:
The radius of the larger circle is 9× that of the smaller circle;
This is the linear scale factor of the enlargement of the smaller to larger circle;
The scale factor of the area pertains to 2 dimensions so the scale factor will be the square of the linear scale factor, which is:
9² = 81
The area of the larger circle is found by the area of the smaller circle multiplied by this number:
50 × 81 = 4050
Whats the zeros and the vertex !
Answer:
The vertex is (0,3), and the zeroes are at -1 and -7
Step-by-step explanation:
Since the function is going upward, the vertex is the minimum value
So the vertex is (0,3)
The zeros of a function are where the function touches the x-axis, or when y is 0.
We can find the zeros by making y (or f(x)) 0.
(x+4)^2-9=0
x^2+8x+16-9=0
x^2+8x+7=0
Factoring
(x+1)(x+7)=0
The zeroes are at -1 and -7.
Find the value of each variable.
Youlanda bought a new laptop for $459 and paid 7.5% in sales tax. How much did Youlanda pay in sales tax?
Good evening!
In this question, we were asked to solve for the sales tax of the laptop that Youlanda bought.
We were given:
- Cost of laptop: $459
- Sales Tax: 7.5%
In order to find the amount Youlanda paid for the sales tax, we would multiply the cost of the laptop ($459) by the sales tax (0.075):
Calculate:
459 × 0.075 = 34.425
Your answer would be: $34.425
Need help asap!
Find the value of X
Answer:
x = 155°
Step-by-step explanation:
most left upper angle = 180° - 35° - 90° = 55°
inner middle top angle = 180° - 60° - 55° = 65°
inner middle has right angle, that is 90°
inner middle bottom angle is then, 180 - 90° - 65° = 25°
then as x lies on a straight line with 25°
x + 25° = 180°
x = 180° - 25°
x = 155°
The value of x is 155° .
Sum of all the angles on a line is 180°.
Sum of all the interior angles of a triangle is 180°.
My sister and ate some of a chocolate bar she had 1/4 and I had 5/8 how much of the chocolate bar did we eat
Answer:
7/8
Step-by-step explanation:
1/4 times 2/2 = 2/8. you would have to do this because the only way you can add fractions is if they have the same denominator. so 2/8 + 5/8= 7/8
Answer:
You ate 7/8 of the chocolate bar.
Step-by-step explanation:
First, we need to change 1/4 and 5/8 so that they have the same denominators (bottom numbers).
There's a common multiple of 8.
What you do to the bottom needs to be done to the top.
1 x 8 = 8
1 x 5 = 5
5/8
Your amount of chocolate stays the same.
4 x 2 = 8
1 x 2 = 2
2/8 is how much the sister had,
Finally, add the two fractions together.
2/8 + 5/8 = 7/8
You ate 7/8 of the chocolate bar.
Hope this helps, have a good day! :D
$360,000 is what percent of $600,000?
a and b are right I just need help for c
Answer:
yes
Step-by-step explanation:
The 0830 train from Aberystwyth to Shrewsbury arrives at 1017. 4 hours later is 1017 +400 = 1417. Judy would have 2 minutes to catch the 1419 train to Birmingham.
