drivers have no prior driving record, an insurance company considers each driver to be randomly selected from the pool. This month, the insurance company writes 4 new policies for adults earning their first drivers license. What is the probability that these 4 will contain at least two more high-risk drivers than low-risk drivers
Answers
Complete question is:
A large pool of adults earning their first drivers license includes 50% low- risk drivers, 30% moderate-risk drivers, and 20% high-risk drivers. Because these drivers have no prior driving record, an insurance company considers each driver to be randomly selected from the pool. This month, the insurance company writes 4 new policies for adults earning their first drivers license. What is the probability that these 4 will contain at least two more high-risk drivers than low-risk drivers?
Answer:
probability that these 4 will contain at least two more high-risk drivers than low-risk drivers = 0.0488
Step-by-step explanation:
Let H represent High risk
M represent moderate risk
L represent Low risk.
The following combinations will satisfy the condition that there are at least two more high-risk drivers than low-risk drivers: HHHH, HHHL, HHHM, HHMM
The HHHH case has probability 0.2 ⁴ = 0.0016
The HHHL case has probability 4 × 0.2³ × 0.3 = 0.0096 (This is because L can be in four different places)
Similarly, the HHHM case has probability 4 × 0.2 ³ × 0.5 = 0.016
Lastly, the HHMM case has probability 6 × 0.2 ² × 0.3 ² = 0.0216 (This is because the number of ways to choose places for two M letters in this way is 6)
Summing all these probabilities, we have;
0.0016 + 0.0096 + 0.016 + 0.0216 = 0.0488
Related Questions
A researcher has found a new behavioral method to have children decrease their sugar intake. They want to know what percentage of children in their study actually had a decrease to below 40 grams of sugar per day. The average intake is M=50g, with a s=5g.
Answers
The researcher can anticipate that 2.28 per cent of the children in their study will consume less sugar than 40 grammes every day.
What is the percentage?According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.
To find the percentage of children in the study who had a decrease in their sugar intake to below 40 grams per day, we need to determine the proportion of children whose sugar intake is below 40g.
We can use the standard normal distribution and the z-score formula to find this proportion:
z = (40 - 50) / 5 = -2
Using a standard normal distribution table, we can find that the proportion of children with a sugar intake below 40g is approximately 0.0228 or 2.28%.
Therefore, the researcher can expect that approximately 2.28% of children in their study will have a sugar intake below 40 grams per day with the new behavioural method.
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An internet company randomly selected 50 of its
customers and asked them how many hours per
week they use the internet. Of those surveyed, 28
use the internet more than 15 hours per week.
Based on the data, if the company has 800
subscribers how many watch more than 10 hours
per week?
Answers
Answer:
448 subscribers
Step-by-step explanation:
First, find the percentage of people that use the internet more than 15 hours per week.
\(\%=\frac{28}{50}=0.56=56\%\)
Now, we can use this information to find 56% of 800.
\(56\%*800\)
Note that percentages can also be written as that number over 100.
\(\frac{56}{100}*800=\frac{44800}{100}=448\text{ subscribers}\)
In triangle GHI, m H is 20 more than
m G, and m G is 8 more than m I.
What is the measure of each angle?
Answers
H =20
G = 8 mor than I
the measure of H is 28 because it says that g is 8 more so that means I can be 0 and that means G is 8 and then H is 20. therefore solving your answer
sin^4x rewrite the power as a product of two squared terms
Answers
sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)
How to rewrite the expression?The sine expression is given as
sin^4x
The above means
sin x raised to the power of 4
This in other words, the expression is represented as
(sin(x))^4
Express 4 as 2 + 2
(sin(x))^(2 + 2)
Apply the law of indices
(sin(x))^2 * (sin(x))^2
This gives
sin^2(x) * sin^2(x)
Hence, sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)
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What is the area of
the segment? Express
the answer in terms
of pi.
Answers
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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The price of a 8-minute phone call is $2.80. What is the price of a 16-minute phone call?
Answers
Answer:
$5.60
Step-by-step explanation:
16 is twice as much as 8, so you just need to double the original price
Answer:
$5.60
Step-by-step explanation:
multiply the mins by 2 to get 16 mins so also multiply the money as well.
given that f(x)=(x+2)^3-3, write an expression for h(x) in terms of x
h(x)=
Answers
In response to the query, we can state that As a result, the cubic equation factored form is: f(x) = (x+3)(x+1)(x-2) (x-2)
What is equation?An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.
A cubic polynomial's graph is the one that is presented. We must determine the polynomial's x-intercepts or roots in order to determine its factored form.
The graph reveals the polynomial's three real roots, which are -3, -1, and 2.
As a result, the polynomial's factored form is:
f(x) = a(x+3)(x+1) (x-2)
where an is a constant that establishes the polynomial's leading coefficient. Using the graph's point (0,-6) as a reference, we may determine the value of a:
f(0) = a(0+3)(0+1)(0-2) = -6
If we condense this phrase, we get:
-6a = -6
When we multiply both sides by -6, we get:
a = 1
As a result, the cubic polynomial's factored form is:
f(x) = (x+3)(x+1)(x-2) (x-2)
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Ayuda
Sean f(x) =
2x + 1, X ≥1
x², X>1
y g(x) =
x² + 1, x ≥ 0
x , X< 0
Answers
The composite mapping (f o g)(x) ≥ 3 for the functions f(x) = 2x + 1 and g(x) = x² + 1. And (f o g)(x) > 0 for the functions f(x) = x² and g(x) = x.
What is composite mappingA mapping is composite when the co- domain of the first mapping is the domain of the second mapping.
For the functions f(x) = 2x + 1 and g(x) = x² + 1
If x > 0, say x = 1 then;
g(x) = 1² + 1
g(x) = 2
(f o g)(x) = 2(2) + 1
(f o g)(x) = 4 + 1
(f o g)(x) = 5
If x = 0, then;
g(x) = 0² + 1
g(x) = 1
(f o g)(x) = 2(1) + 1
(f o g)(x) = 2 + 1
(f o g)(x) = 3
For the functions f(x) = x² and g(x) = x
If x < 0, say x = -0.5, then;
g(x) = -0.5
(f o g)(x) = (-0.5)²
(f o g)(x) = 0.25
In conclusion, the composite mapping (f o g)(x) ≥ 3 for functions f(x) = 2x + 1 and g(x) = x² + 1 and (f o g)(x) > 0 for the functions f(x) = x² and g(x) = x.
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The average square of toilet paper measures 4.1" x 4.1." If one roll of toilet paper has 329 squares, what is the total area of a complete roll of toilet paper
Answers
Answer:
5,530.49\(inches^{2}\)
Step-by-step explanation:
4.1x4.1=16.81
16.81x329
Please explain how to solve this
Answers
The solution to the variables are x = 7 and y = 4
How to determine the solution to the variables?From the question, we have the following parameters that can be used in our computation:
Shape = Triangle
The marks on the triangles imply that
The visibly smaller triangle is an equilateral triangleThe other triangle is an isosceles triangleSo, we have the following representation
3x - 5 = 5y - 4
3x - 5 = y + 12
Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4
y + 12 = 5y - 4
Evaluate the like terms
4y = 16
So, we have
y = 4
Substitute y = 4 in 3x - 5 = y + 12
3x - 5 = 4 + 12
So, we have
3x = 21
This gives
x = 7
Hence, the values are x = 7 and y = 4
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I need help with this problem please
Answers
Answer:
dang i wish i knew but i dont ,_,
What happens to the area of a triangle after you translate it 2 units to the left and 1 unit up?
Answers
Why? Translate means you are just moving the same triangle to a new location on the graph
A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?
Answers
Answer:
$2,500 or 25%
Step-by-step explanation:
Let's use the same example:
Cost of Equipment = $10,000
Useful Life = 4 years
Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100
Annual Depreciation = Cost of Equipment / Useful Life
Annual Depreciation = $10,000 / 4 years
Annual Depreciation = $2,500
Depreciation Rate = ($2,500 / $10,000) * 100
Depreciation Rate = 0.25 * 100
Depreciation Rate = 25%
Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of P.x+y=96 and P=x^2y is maximizeda. Solve x+y=96 for y.y=b. Substitute the result from part a into the equation P=x2y for the variable that is to be maximized.P=c. Find the domain of the function P found in part b.= ? (Simplify your answer. Answer in interval notation.)d. Find dP/dx. Solve the equation dP/dx=0.dP/dx=Solve the equationx=? (Use a comma to separate answers as needed.)e. Evaluate P at any solutions found in part d, as well as the endpoints of the domain found in part c. Find P(0).P(0)=? (Simplify your answer.)Determine P(64)=? (Simplify your answer.)Find P(96)=? (Simplify your answer.)f. Give the maximum value of P, as well as the two numbers x and y for which x2y is that value.The maximum value of P is =?The values of x and y are x= and y=
Answers
the two numbers x and y for which x2y is that value, as well as the highest possible value .P at any solutions found in part d, as well as the endpoints of the domain found as The maximum value of P is =4092, The values of x and y are x=64, y=32.
a. Solve x+y=96 for y.
y=96-x
b. In the equation P=x2y, replace the variable to be maximized with the outcome from part a.
P=x^2(96-x)
c. Find the domain of the function P found in part b.
Dom(P)=[0,96]
d. Find dP/dx. Solve the equation dP/dx=0.
dP/dx=2x(96-x)-x^2=0
Solve the equation
x=0,96
e. Evaluate P at any solutions identified in part d, as well as the endpoints of the domain found in part c.
P(0)=0
P(64)=4096
P(96)=0
f. provide the maximum value of P, as well as the two numbers x and y for which x2y is that value.
The maximum value of P is 4096
The values of x and y that maximize P are x=64, y=32
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answers
Answer:
77 cm²
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
where b is the base length, and h is the altitude perpendicular to the base.
__
Here, you are shown b=22 cm and h=7 cm. The area is ...
A = 1/2(22 cm)(7 cm) = 77 cm²
do jakiej szkoły po podstawówce można iść bez matematyki (mniej ważna
Answers
Answer:
Gimnazjum?
Również twoje pytanie jest trudne dla ludzi, którzy mówią po angielsku ...
can u translate that question for me? ^_^
p (a) = .6, p(b) = .3, p(b | a) = .5
p(a or b) = ?
Answers
Answer:
Step-by-step explanation:
P(A or B) = P(A) + P(B) - P(A and B) = 0.6 + 0.5 - 0.3 = 0.8.
How many seconds equal 9 hours and 23 minutes?
w
563 seconds
1,380 seconds
33,780 seconds
12.420 seconds
Answers
Answer:
33780 seconds
Step-by-step explanation:
Answer:
33,780
Step-by-step explanation:
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the product and explain the process and reasoning.
0.67 x 0.3 =
Answers
Answer: 0.201
Step-by-step explanation:(0.67)(0.3)
0.201 The main point to focus on when multiplying decimals is to just treat the decimals normally, as if they were whole numbers by ignoring the decimal points and multiply them together. Then put the decimal point in the answer.
A 12 cm by 12 cm square piece of paper has 5 holes punched out of it. 4 of the holes are circles of radius 3 cm and 1 of the holes is a circle of radius 1 cm. The paper and punched holes can be visually interpreted as below. Determine the area of paper remaining after the holes have been punched out.
Answers
5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².
Firstly, we will calculate the area of the square of paper in which the holes are punched.
Side of square = 12 cm
Area of square = side²
= (12) ²
= 144 cm²
Now, we will calculate the area of the bigger punch holes
Radius of big punch hole = 3 cm
Area of 1 big punch = π (radius) ²
= 22/7 × (3)²
22 / 7 × 9
= 198 / 7 cm²
Area of 4 punches = 4 × 198/7
= 792/7 cm²
Now, we will calculate the area of smaller punch whose radius is 1cm
Area = 22/7 × 1²
= 22/7 cm²
Now, we will calculate the total area covered by circles
Total area covered by circles = area of small punch + area of 4 big punch
= 22/7 + 792/7
= 814 /7 cm²
Remaining area = area of square - area of circles
= 144 - 814/7
= (1008 - 814) / 7
= 194 / 7
= 27.714 cm²
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helppppppp pleaseeeee ill give brainliest answer pleaseeeee helppp me
Answers
Answer:
Floor 48
Right and left rectangles 80
Two triangles 24
48+80+24 =152
Let f(x)=5-4x. Find f(3)
Answers
Answer:
-7
Step-by-step explanation:
f(x) = 5 - 4x
f(3) = 5 - 4(3) (since x = 3)
f(3) = 5 - 12
f(3) = -7
WILL MARK BRAINLIEST!!
In a baseball game, a batter standing at home plate sees the second baseman standing on the baseline between 1st and 2nd base as shown in the figure.
If θ=14∘, how far is the second baseman from second base?
Round to the nearest hundredth.
The distance to second base is approximately _________ feet.
Answers
The distance to second base is approximately 127.28 feet. Round to the nearest hundredth
How to determine the distance to second baseSince the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse
Using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
x² = 90² + 90²
x² = 16200
x = √16200
x = 90√2
x = 127.28 ft (to the nearest hundredth)
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40$ to 50$ is what percent increase
Answers
Answer:
25 %
It's just like adding tax. You do $40 x 0.25 which equals $10. $40 + 25% increase = $50
a small business estimates that the value V(t) of a copy machine is decreasing according to the function
V(t)=4000(4)^0.13t
where t is the number of year's that have elapsed since the machine was purchased and V(t) is in dollars.
Answers
Answer:
ZujADADA
Step-by-step explanation: 1+2=3
5. Which equation is solved for the height of the cone based on theinformation given below ?
Answers
The equation for the Volume (V) of the cone given is,
\(V=\frac{1}{3}\pi r^2h\)We are to isolate 'h' in the equation above
SOLUTION
Multiply both sides by 3
\(3V=3\times\frac{\pi}{3}r^2h\)Simplify
\(3V=\pi r^2h\)Divide both sides by πr²
\(\frac{3V}{\pi r^2}=\frac{\pi r^2h}{\pi r^2}\)Simplify
\(h=\frac{3V}{\pi r^2}\)Hence, the answer is
\(h=\frac{3V}{\pi r^2}\text{ (OPTION D)}\)What number is halfway between -5.5 and 4.5 on a number line? Show your
Answers
Answer:
-.5
Step-by-step explanation:
-5.5 + 5 = -.5
4.5 - 5 = -.5
Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.Which of the following is the correct interpretation of the pp-value?If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.A. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.C. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.D. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.
Answers
Answer:
B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Step-by-step explanation:
Null hypothesis:
H0: The population proportion B = population proportion A
Alternative hypothesis:
H1: The population proportion of B > population proportion A
The P value, also called calculated probability, is that of getting test results which are at least as extreme as the results which were observed in a Statistical test. We assume the null hypothesis to be true.
Therefore if the population proportion of B = A (H0 is true), then we conclude that the probability of observing a difference of at least 0.15 is = 0.34.
Karmen wants to purchase a pair of jeans with an
original price of $35.00. The jeans are on sale for 30%
off and she had a coupon for $2.00 off any purchase.
Her mom wants her to determine the actual price
before they go to the store.
How much money would she save?
Answers
Answer:
Ok, this is complicated. First you multiply 35 by .30. This gets you $10.50 OFF of the original price. Ok? So then you add the 2 dollar coupon. This gets you $12.50 OFF. So she would save $12.50.
YOUR ANSWER IS $12.50! Hope this helps! Please mark me brainliest!
Choose as many answers as apply.
According to the lesson, things you can do to help you decide on a bank include:
compare interest rates
determine which bank has the most attractive buildings
ask friends where they bank
visit two or three branch office
Answers
Some things you can do to help you decide on a bank include:
Ask friends where they bankVisit two or three branch officesCompare interest ratesWhy are these important?When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.
To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.
Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.
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