The firm is requested to send 3 employees who have positive indications of asbestos on to a medical center for further testing. Suppose 40% of the employees have positive indications of asbestos in their lungs. a) Find the probability that exactly 10 employees will be tested in order to find 3 positives
Answer:
0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives
Step-by-step explanation:
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.
40% of the employees have positive indications of asbestos in their lungs
This means that [tex]p = 0.4[/tex]
a) Find the probability that exactly 10 employees will be tested in order to find 3 positives
2 within the first 9([tex]P(X = 2)[/tex] when [tex]n = 9[/tex]), and the 10th, with 0.4 probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{9,2}.(0.4)^{2}.(0.6)^{7} = 0.1612[/tex]
0.4*0.1612 = 0.0645
0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives
..........................................................................
Answer:
1. 17.8 cm
2. 32.0 cm
3. 15.9 m
Step-by-step explanation:
1. Determination of the length of the arc.
Radius (r) = 6 cm
Angle at the centre (θ) = 170°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 170/360 × 2 × 3.14 × 6
L = 17/36 × 37.68
L = 17.8 cm
2. Determination of the length of the arc.
Diameter (d) = 13 cm
Angle at the centre (θ) = 282°
Pi (π) = 3.14
Length of arc (L) = ?
Next, we shall determine the radius. This can be obtained as follow:
Diameter (d) = 13 cm
Radius (r) =?
r = d/2
r = 13/2
r = 6.5 cm
Finally, we shall determine the length of the arc. This can be obtained as follow:
Radius (r) = 6.5 cm
Angle at the centre (θ) = 282°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 282/360 × 2 × 3.14 × 6.5
L = 282/360 × 40.82
L = 32.0 cm
3. Determination of the length of the arc.
Radius (r) = 11 m
Angle at the centre (θ) = 83°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 83/360 × 2 × 3.14 × 11
L = 83/360 × 69.08
L = 15.9 m
Pls help me I’ll make brainliest
Answer:
$0.60
Step-by-step explanation:
just divide the 2 one
what half of 120?
60
60 cents
Two athletes practice for a marathon by running back and forth on an 11-mile course. They start running simultaneously, one at a speed 2 mph faster than the other's speed. How fast does each run if they meet 1 hour 6 minutes after starting? (The faster runner is already returning at this point.) How far from the starting point do the runners meet?
Answer:
Faster runner speed: 11 mph
Slower runner speed: 9 mph
Distance from starting point: 9.9 miles
Step-by-step explanation:
Let the slower runner speed be: x
Faster runner speed: x+2
1 hour 6 minutes = 1.1 hours
Slower: 1.1(x) = 1.1x miles
Faster: 1.1(x+2) = 1.1x+2.2 miles
This means that the faster runner had gone 2.2 miles more than the slower runner.
1.1x + 2.2 > 11 miles (This is true as we know the faster runner is coming back from the 11 mile run)
1.1x > 11 - 2.2 miles
1.1x > 8.8 miles
x > 8.8 / 2.2 miles
x > 8 mph
1.1x < 11 miles (we know this is true as the slower runner has to have gone less than 11 miles as the faster runner met him on his way back)
x < 11 / 1.1 miles
x < 10 miles
8 < x < 10
Although x could be any number including decimal between 8 and 10, the obvious first answer would be 9. However we need to check if this answer is correct.
Slower runner distance to the end:
1.1(9) = 9.9 miles
11 - 9.9 = 1.1 miles
Faster runners distance from the end (when coming back)
1.1(9+2) = 1.1(11) = 12.1 miles
12.1 - 11 = 1.1 miles
The speeds 9 mph and 11 mph are now proven to be the right speeds. Using our equation before, we can figure out the distance from the starting point that they meet at. This is just how far the slower runner has gotten. So, 1.1(9) = 9.9 miles from the starting point
Find the volume. 11 yd 5 yd 6 yd
HELP!!!! HURRY PLEASE
the length of a rectangle is 6 meters more than its width. if the area of the rectangle is 135 square meters, find its dimensions, PLease provide step by step info
Answer:
length 15 width 9
Step-by-step explanation:
Then the length can be represented by the following expression: (x + 6)
Since area is equal to length times width, we can write the following equation for the area:
A = length * width
135 = (w + 6) * w
Now we can solve for w after using the distributive property and factoring:
135 = (w + 6) * w
135 = w^2 + 6w
0 = w^2 + 6w - 135
This factors to:
0 = (w + 15) (w -9)
w = -15 OR w = 9
Use the GCF and the Distributive Property to
rewrite the following expression:
24 +30
Answer:
B = 6(4 + 5)
Step-by-step explanation:
GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.
Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac
The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)
24 divided by 6 = 4
30 divided by 6 = 5
This fits B the most: 6(4 + 5)
The answer is B, I hope this helps!
-3 < n < 1
n is an integer.
Write down the possible values of n.
Answer:
-2, -1
Step-by-step explanation:
they're the only integers you can get
What is 51.2% of 33?
Answer:
16.896
Step-by-step explanation:
Answer:
16.896
Step-by-step explanation:
Round 6.081 to the nearest hundredth 
Answer:
6.08
Have a good day!
10x – 3>-23
Please helpppp
Answer:
-2 i think i am not sure though
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
First, add 3 to both sides to get 10x > -20. Then, divide both sides by 10 to get x = -2. I hope this helps :)
Describe what probability is and how it is used in the real world. Explain how to calculate probability of an event. Explain the difference in something being unlikely, likely, certain, and equally likely to happen. Write 3-5 Sentences
Answer:
Nearly every day you use probability to plan around the weather. Meteorologists can't predict exactly what the weather will be. So they use tools and instruments to determine the likelihood that it will rain, snow or hail.
Step-by-step explanation:
For the following report about a statistical study, identify the items below: to find the public's views on obesity, researchers waited outside a fast food restaurant they had randomly selected from a list of such establishments. they stopped every 25th person who came out of the restaurant and asked whether he or she thought obesity was a serious problem.
1. The population:____.
a. all people except those who work at fast food restaurantfast food restaurants.
b. people.
c. every 25th person leaving the restaurant.
d. all people that go to fast food restaurantfast food restaurants.
2. The population parameter of interest:_____.
a. proportion who think obesity is not a serious problem.
b. proportion of people who think obesity is a serious problem.
c. proportion of people who answered the survey.
d. proportion of people who did not answer the survey.
3. The sampling frame:_____.
a. all people except those who work at fast food restaurantfast food restaurants.
b. people who think obesity is a problem.
c. every 25th person leaving the restaurant.
d. restaurant customers.
4. The sample:____.
a. people.
b. every person leaving the restaurant.
c. every 25th person leaving the restaurant.
d. all people except those who work at fast food restaurantfast food restaurants.
5. The sampling method, including whether or not randomization was employed:_____.
a. questionnaire (non-random).
b. not specified, non-random.
c. not specified, but at least "random".
d. systematic sampling.
6. Any potential sources of bias you can detect and any problems you see in generalizing to the population of interest:
A. Response bias is possible. The study is conducted in such a way as to achieve a desired response that may be different from the population in general.
B. Non-response bias is possible. Since some people leaving the restaurant may not respond to theinterview, the study may misrepresent the general population.
C. Undercoverage bias is possible. Since those interviewed just left a fast food restaurant commafast food restaurant, their opinions about obesity may differ from the population in general.
D. There is no indication of bias.
Answer:
Step-by-step explanation:
From the short passage given in the question, we are fill in the gaps with the options provided in each question. Below shows the correctly selected answer after thoroughly going through the passage.
1
b. people
2
[tex]\mathbf{b. \ proportion \ of \ people \ who \ think \ obesity \ i s \ a \ serious \ problem.}[/tex]
3
d. restaurant customers.
4
c. every 25th person leaving the restaurant.
5
d. systematic sampling.
6
C. Undercoverage bias is possible. Since those interviewed just left a fast-food restaurant, fast food restaurant, their opinions about obesity may differ from the population in general.
What is the solution to the system of equations graphed below?
y = 3x + 2
5
y = -2x - 3
Answer:
-2, 1 i'm very positivee
What this will look like on STAAR
Example 4: A wheel has a diameter of 10 millimeters,
Circle the answer
with shapes tool
C=
Now that we have estimated,
we can look for which is closest
Which measurement is closest to the circumference of the
circle in millimeters?
A, 15.71 mm
B. 31.42 mm
C. 62.83 mm
Answer:
Could you send a picture of the work please!
Step-by-step explanation:
50 points! Mhanifa please answer I will mark brainliest
Answer:
C. OBTUSE
Step-by-step explanation:
2. Paris was the son of the king and queen of Troy. When he was born, his mother dreamed that she was giving birth to a flaming torch. Fearful that this was a bad omen, King Priam ordered that the child be left on a hillside to die.
the answer is a. There is 1 as a right angle.
Find the length of segment LM.
Answer:
5 I think l to n is 10,so it will be half of it
what is the volume of the rectangular prism?
Answer:
7yd cubed
Step-by-step explanation:
The total length of all the sides are:
2 1/3 yards (length)
1 yard (width)
3 yards (height)
So just multiply 2 1/3*1*3
45 Tyrone is converting 50 to a percent. Which method should he use to find the percent? Divide the numerator and denominator of the fraction by 2. Subtract 40 from the numerator and denominator of the fraction. Multiply the numerator and the denominator of the fraction by 2. Add 50 to the numerator and denominator of the fraction.
Answer:
3. multiply the numerator and denominator of the fraction by 2
Step-by-step explanation:
Multiplying the numerator and denominator by 2 is like multiplying the fraction by 2/2. 2/2 is one so it doesn't change the value.
Answer:
❌Divide the numerator and denominator of the fraction by 2.
❌Subtract 40 from the numerator and denominator of the fraction.
✔️Multiply the numerator and the denominator of the fraction by 2.
❌Add 50 to the numerator and denominator of the fraction.
Please help I don't get this question
Answer:
D because 9 + 5 = 14 and one variable by itself is equal to 1 so 14 + 1 = 15 add the variable, 15x
HELp pls il give brainliest
Answer:
1. 25
2. 3
3. 10:00 am to 10:30
4. not letting you get all the answers. Try your best though the explain the answer is refering to number 3 Good luck!
Step-by-step explanation:
What is another way to write a2 b3 c2 d?
Answer:
A+A+B+B+B+C+C+D
Step-by-step explanation:
it's just the letter wrote the amount of times the number says
Which one does not belong?
Answer:
soooooooo where's the rest of the question? LOL
Step-by-step explanation:
Mariana owed her grandmother $2.75 but was recently able to pay her back $1.25. How much does Mariana currently owe her grandmother?
Which of the following statements is true for a point in the first quadrant of the coordinate plane?
Answer:
The point will have both a positive x value and a positive y value.
Step-by-step explanation:
Since the question leads me to believe this is multiple choice but there are no choices provided, I will do my best to guess what it is wanting.
Ten friends share 2 pumpkins pies equally. What fraction of a pumpkin pie does each friend get?
Answer:
1/5
Step-by-step explanation:
1/5
Answer:
Each friend would get 1/5 of pumpkin pie I believe
Step-by-step explanation:
45 is what % of 50. i need to know now
Answer:
90%
Step-by-step explanation:
Answer:
90%.
Step-by-step explanation:
50 is half of 100. 45 is half of 90.
So, 45 is 90% of 50.
4.
The probability that I will go sailing today AND the fair six-sided die will come up even on the next roll is .3.
these events are independent, what is the probability that I will go sailing today?
Answer:
Step-by-step explanation:
Let us consider P(A) to be the probability for the fact that I will go for sailing today
Likewise, P(B) will be the probability of a die to come up on an even number in the next roll.
Now, according to the question,
P(A and B) = 0.3
It is known to us that the probability of a die to land with an even number on its side up =
Moreover, we are given with the fact that both P(A) and P(B) are independent.
∴ P(A and B) = P(A) × P(B)
⇒ 0.3 = P(A) × 0.5
⇒ P(A) = = 0.6
Please some sons help thank you !!
Answer:
a trigong i think
Step-by-step explanation:
y= 2x+4
How many solutions does this linear system have?
x + 2y = 8
O one solution: (8,0)
one solution: (0, 8)
no solution
O infinite number of solutions
Answer:
the answer is (-8,0)
Step-by-step explanation:
thats the right answer