Answer:
(i) 0.15708
(ii) 0.432488
(iii) 3
Step-by-step explanation:
Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.
There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.
As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.
Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.
So, p=1-0.99=0.01
According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is
[tex]P(r)=\binom{n}{r}p^r(1-p)^{n-r}\cdots(i)[/tex]
(i) The total number of persons randomly selected, n=400.
The probability that exactly 5 of them did not see a doctor
So, r=5 , p=0.01
Using equation (i),
[tex]P(r=5)=\binom{400}{5}(0.01)^5(1-0.01)^{400-5}[/tex]
[tex]=\frac{400!}{(400-5)!\times 5!}(0.01)^5(0.99)^{395}[/tex]
=0.15708
(ii) The probability that fewer than four of them did not see a doctor
[tex]=P(r<4)[/tex]
[tex]=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]
[tex]=\binom{400}{0}(0.01)^0(0.99)^{400}+\binom{400}{1}(0.01)^1(0.99)^{399}+\binom{400}{2}(0.01)^2(0.99)^{398}+\binom{400}{3}(0.01)^3(0.99)^{397}[/tex]
[tex]=0.017951+0.072527+0.146154+0.195856[/tex]
[tex]=0.432488[/tex]
(iii) The expected number of people who would not see a doctor
[tex]=np[/tex]
[tex]=300\times 0.01[/tex]
=3
Identify the center and write the equation of the circle that has the ends of the diameter at (17,12) and (13,16)
What is the slope of a line perpendicular to the line in the graph?
Answer:
the answer is b because perpendicular is when 2 line meet at a 90 degree angle
The value of a machine depreciates each year by 5% of its value at the beginning of that year. If its value when new on 1st January 1980 was # 10,250. 00, what was its value in January 1989 when its was 9years old. Give your answer correct to three significant figures.
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &10250\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=\textit{elapsed time}\dotfill &9\\ \end{cases} \\\\\\ A=10250(1 - 0.05)^{9}\implies A=10250(0.95)^9\implies A\approx 6460[/tex]
courtney bought 12 hair ties and 4 pairs of socks. the total amount that she paid for both was $15.72. If the price of each hair tie was $0.25, how much was each pair of socks?
Answer:
2.73 for each sock i believe
Step-by-step explanation:
Find the 21st term of the AP -
Answer:
above is the solution to the question
The librarian purchased 22 copies of a best-selling book for $385.66.
How much did each copy of the book cost?
Answer:
$17.53
Step-by-step explanation:
You know the total price of 22 copies was $365.66. To find the price of one copy, you divide 365.66 by 22 to get $17.53 per copy.
Answer:
17.53
Step-by-step explanation:
Scale of a map is 1 inches : 50 miles
Find the model size: round to the nearest whole number
300.25 miles
Answer: 300 miles,....
This is pretty simple but I need help. Thanks!!
Answer:
The answer is a.
Step-by-step explanation:
Please help! it's due tonight
Answer:
you could do like 110 length and 80 wide and that will give you a perimeter of 380 which is the same and a area of 8800 which is 400 higher than the original area
The number of inches in a foot is 12. How many centimeters are in a foot? Explain the steps you used to find the answer.
Answer:
30cm
Step-by-step explanation:
With reference to the scale,
1inch=2.5 cm
12 inch=12*2.5 cm =30 cm
Therefore, 1 foot =30 cm
what is the slope-intercept form of the equation of the line that contains the points (1,4) and (0,1)
Answer:
y = 3x + 1
Step-by-step explanation:
m = ( 1 - 4 ) / ( 0 - 1 ) = 3
( 0 , 1 )
y - 1 = 3(x - 0)
y - 1 = 3x
y = 3x + 1
Answer:
y=3x+1
Step-by-step explanation:
Slope is (y2-y1)/(x2-x1)
therefore slope =
(1-4)/(0-1)
-3/-1
m=3
therefore the equation is
y-y1=m(x-x1)
y-4=3(x-1)
y-4=3x-3
y=3x+1MARK ME AS BRAINLISTA veterinarian uses weights in kilograms to figure out what dosages of medicines to prescribe for animals. For every 10 kilograms, there are 22 pounds.
Calculate each animal’s weight in kilograms. Explain or show your reasoning. If you get stuck, consider drawing a double number line or table.
Bella the Chihuahua weighs 512 pounds.
Step-by-step explanation:
[tex]512 \times 10 \div 22 = 232.24[/tex]
Answer:
512x10/22=232.239
Step-by-step explanation:
Bella weight in kilogram is 232.239
need some help with this question in the image
Answer:
Five pizzas and twenty five hamburgers.
Step-by-step explanation:
5 (pizzas) times 5 is 25. That would be the total amount of hamburgers, because 5×5=25
30 (total) - the 25 hamburgers= 5 pizzas
Hope this helps
Answer:
Pizza = x
Ham = 5x
x + 5x = 30
6x = 30
x = 5
pizza = 5
ham = 5x5 = 25
Step-by-step explanation:
hope its helps!
9.35 9.323 9.42 9.3 9.305 9.371 least to greatest
Answer:
The rear number is always the one to look at
9.42, 9.371,9.35,9.32,9.305,9.03
Step-by-step explanation:
Answer:
I hope this helps :)
Step-by-step explanation:
9.3 - Least
9.305
9.323
9.35
9.371
9.42 - Greatest
The places without a number still have a zero there, it's just a placeholder so it doesn't change the value at all in this case that is. :)
Shannon test-drives a car in Germany and drives 95 kilometers per hour.What is her speed in miles per hour
Answer:
59
Step-by-step explanation:
numeros divisibles para 380
Answer: 760, 1140, 1520, 1900, ...
Step-by-step explanation: Multiplica 380 por cualquier número y cualquier número que obtengas es divisible por él.
what do you do on here like
Answer:
I come here to get answers for my homework and help other people
Plzz give me brainliest, i really need it to level up
Answer:
we answer each others questions and have fun !!
Does anyone know the answer? Please remember to explain! :D
Answer: your pic is upside down XD
Step-by-step explanation:
resubmit the question
An article was sold at a price of $360. If the profit made by the shopkeeper is 20%, find the cost price of the article
Answer:
288
step by step explanation:you first have to figure ot what
does 20% means. And this
questions is with subtracting.
So,
20% = 72
And since the question is with
subtracting we use our 360$
from before and we subtract.
360$ - 20% = 288 or
360$ - 72 = 288
I hope that explanation helped
you understand why the answer
is 288.
What is the measure of the third angle in the similar triangles below?
Triangle P Q R. Angle Q is 80 degrees and angle P is 35 degrees. Triangle W X Y. Angle W is 35 degrees and angle X is 80 degrees.
25º
65º
85º
115º
Answer:
65
Step-by-step explanation:
It’s 65 because 65+35=100 then u add 80 to get 180
The measure of the third angle in the triangle is 65°. The correct option is B.
What is geometry?One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that Triangle P Q R. Angle Q is 80 degrees and angle P is 35 degrees. Triangle W X Y. Angle W is 35 degrees and angle X is 80 degrees.
The third angle will be calculated as:-
Angle = 180 - 80 - 35
Angle = 65
Therefore, the measure of the third angle in the triangle is 65°. The correct option is B.
To know more about geometry follow
https://brainly.com/question/15996146
#SPJ6
Maths please help xx
Answer:
a= 210% it will rain and b is 40%
A brick is 230 mm long. What is the length of a single brick in centimetres?
Answer:
23cm
Step-by-step explanation:
to convert from millimetres to centimetres, you divide by 10.
10mm= 1cm.
so 230mm = 23cm.
Answer:
23 centimeter
Step-by-step explanation:
10mm = 1cm
230mm = 23cm
Pls help!!!!!!!!!:(9-16 The instructions are to label the difference of two squares as D in the perfect square trinominals as P factory expression the letters and numbers in red is the correct answer I’ve asked like 4 times!!!!!!!!!
Hey there!
9) Answer: D. :---- (x +8)(x-8)
10) Answer: P. :------(x-2y)^2
11) Answer: D. :-----(2a+3b)*(2a-3b)
12) Answer: P. :-----(a+4b)^2
13) Answer: P. :-----(x-3)^2
14) Answer:. D. :----(5xy+9z)*(5xy-9z)
15) Answer: P. :-----(2a+1)^2
16)Answer: D. :---(4ab+5)*(4ab-5)
Monica is trying to lower her credit card debt and has been tracking her expenses for the past month. She identified her variable expenses in relation to her fixed expenses. Without altering her variable expenses, how much extra could she possibly put towards her credit cards? A circle graph titled Monthly Income 2800 dollars. Variable expenses is 56 percent, fixed expenses is 36 percent, and net income is 8 percent. A. $1,792 b. $1,568 c. $224 d. $1,008.
Withoutbaltering her variable expenses is $224 extra could she possibly put towards her credit cards.
What is pie chart?The “ pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numericical value.
Given
Monica is trying to lower her credit card debt and has been tracking her expenses for the past month.
She identified her variable expenses in relation to her fixed expenses.
According to the pie chart, 36% and 56% are used for expenses, so there is 8% left over.
Multiply her monthly income by 8%:
2800 x 0.08 = 224
Hence, withoutbaltering her variable expenses is $224 extra could she possibly put towards her credit cards.
You can learn more about pie charts at;
https://brainly.com/question/25796636
Wednesday Progress
Data Set: 2, 5, 2, 4, 7
What is the mode?
Answer:
mode is 2
Step-by-step explanation:
the mode is the value that occurs most often in the data set , then
mode = 2
I need ASAP Will give brainliest and thanks. High School Math
8.2 transformations of exponential functions
Number eight out of ten
Thank youuuu
Step-by-step explanation:
f(x) = [tex]8^x[/tex]
look at it like this
y = [tex]8^x[/tex]
we need 1 down
down and up is the y line
down 1 means that when the line touches the y line it has to touch it at -1
so that would make the y intercept -1
do you know what to do from here
What is the following product? 3/34 . 3/45
Answer:
3/45
Step-by-step explanation:
the result of multiplying 45 with three is called the product does the product of 45 and 3 is as follows.
Answer:
3/45
Step-by-step explanation:
the result of multiplying 45 with three is called the product does the product of 45 and 3 is as follows
Write the equation of the trinomial h(x) with the zeros of x = - 9 and
x =1
what is the inverse of( 10x-2)23
Calvin kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit the ground. While the soccer ball was in the air it reached a height of approximately 25 feet. Assuming that the soccer ball’s height (in feet) is a function of time (in seconds), what is the range in the context of this problem?
Answer:
The range is 0-25 feet
Step-by-step explanation:
Mathematically, when we are talking of the range, we are simply referring to the values at the boundaries.
This refers to the y-axis values. That is the values of the dependent variable
If we are to plot the graph, we will have the time on the x-axis while the amount of time spent in air would be on the y-axis
The base height is from the ground which is marked 0 feet to a maximum height of 25 feet
So the range in the context of this problem is 0-25 feet