The most likely option (b) to be possible is making a grouped frequency table from an ordinary frequency table.
A frequency table is a way of organizing data into classes or categories based on the number of times a particular observation or value occurs.
Now, let's examine the options provided. Making a grouped frequency table from an ordinary frequency table is possible, as we can simply group the values into intervals and calculate the frequencies for each interval. This allows us to better visualize and understand the distribution of the data.
Making a normal curve from a bimodal distribution is not possible, as a bimodal distribution has two distinct peaks or modes, while a normal distribution has only one. A normal curve is symmetrical and bell-shaped, and represents a continuous distribution of values.
Making an ordinary frequency table from a grouped frequency table is also possible, as we can simply list the intervals or classes and their corresponding frequencies, without the need to group them into intervals.
Finally, making a bimodal distribution from a normal curve is possible, as we can add two normal distributions with different means and standard deviations to create a bimodal distribution. However, it is important to note that a bimodal distribution may not always be appropriate for the given data.
To know more about frequency here.
https://brainly.com/question/28931302
#SPJ4
which trig function do you use cos, tan, sin and how it is solved
We can use the sine ratio to solve this problem and the value of x would be 8.604.
What are trigonometric ratios?
Trigonometric ratios are ratios of the side lengths of a right triangle with respect to its acute angles.
Sine (sin) ratio: The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In the given figure, we have given the hypotenuse of the triangle, and an angle is given which is opposite to 35 degree, so we can use the sine ratio to find the value of x
sin35°= x/15
To solve for x, we can use the following steps:
Multiply both sides of the equation by 15 to isolate x:
sin 35° = x/15
15 * sin 35° = x
Use a calculator to approximate sin 35°:
sin 35° ≈ 0.5736
Substitute the approximation into the equation and solve for x:
x = 15 * 0.5736
x ≈ 8.604
Therefore, x is approximately equal to 8.604.
Hence, we can use the sine ratio to solve this problem and the value of x would be 8.604.
To learn more about trigonometric ratios, visit:
https://brainly.com/question/1201366
#SPJ1
Tina would like to withdraw an annual salary of $35,756 from an account paying 2.2% compounded annually for 35 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent.
Find the missing number so that the equation has infinitely many solutions.
– 2x+18=blank x+18
The missing term in the equation is n = -2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the missing term be represented as n
-2x + 18 = nx + 18
Subtracting 18 on both sides of the equation , we get
-2x = nx
Divide by x on both sides of the equation , we get
n = -2
Therefore , the missing term is n = -2
Hence , the equation is n = -2
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
I need help with this question how is dividing with an area model simlar to multiplaying with an area model differnt
Dividing with an area model and multiplying with an area model are similar in that they both involve partitioning a rectangular area into smaller parts.
However, dividing with an area model involves starting with the total area and then dividing it into equal parts to find the size of each part. For example, to divide 12 by 3, we could draw a rectangle with an area of 12 and then partition it into 3 equal parts to find that each part has an area of 4.
Multiplying with an area model involves starting with the size of the smaller parts and then combining them to find the total area. For example, to multiply 3 by 4, we could draw a rectangle with a width of 3 and a height of 4 and then calculate the area of the rectangle as 12.
So, while both methods involve using an area model, dividing starts with the total area and finds the size of the parts, while multiplying starts with the size of the parts and finds the total area.
To learn more about area here:
https://brainly.com/question/27683633
#SPJ4
Draw one candy
from the bag.
Pink=10
Purple= 6
Blue= 4
If you replace the candy each time,
predict how many times a purple
candy will be chosen out of 80 draws.
[?] times
Answer:
24 times out of 80 draws
Step-by-step explanation:
The probability of choosing a purple candy is 6 out of 20 candies, or 6/20, which simplifies to 3/10 or 0.3.
If you make 80 draws and replace the candy each time, the number of purple candies selected can be estimated using the expected value formula:
Expected value = number of trials * probability of success
In this case, the expected value is 80 * 0.3 = 24.
So, it can be estimated that a purple candy will be chosen 24 times out of 80 draws.
What are the 7 metric units?
The 7 metric units are part of the International System of Units, and this are km, m, cm, mm, kg, g and L. Each unit is based on a multiple of 10, making it easy to convert between them. For example, 1 kilometer is equal to 1000 meters, and 1 kilogram is equal to 1000 grams.
What are the 7 metric units?The 7 metric units are as follows:
Kilometer (km) - used to measure distance.Meter (m) - used to measure length.Centimeter (cm) - used to measure small lengths.Millimeter (mm) - used to measure very small lengths.Kilogram (kg) - used to measure mass.Gram (g) - used to measure small amounts of mass.Liter (L) - used to measure volume.Learn more about the International System of Units here: https://brainly.com/question/14288881
#SPJ11
In the figure, ACCB. D is a point on AB such that CD AB.
Prove that x = y.
Answer: x = y
Step-by-step explanation:
x and y are angles with vertical sides, and angles with vertical sides are always equal
A house has decreased in value by 38% since it was purchased. If the current value is $93,000, what was the value when it was purchased?
The value of the house when it was purchased was $150,000, before the 38% discount was applied.
A discount is a reduction in price or value, typically given as an incentive to purchase or to compensate for a decline in value.
In this case, we know that the house has decreased in value by 38% since it was purchased. This means that the current value is only 62% of its original value (100% - 38% = 62%).
Now, we can use a proportion to determine the original value of the house. We can set up the equation:
Current value / Original value = 62% / 100%
Substituting the given values, we get:
$93,000 / Original value = 62 / 100
To solve for the original value, we can cross-multiply and simplify:
100 x $93,000 = 62 x Original value
$9,300,000 = 62 x Original value
Dividing both sides by 62, we get:
Original value = $150,000
To know more about discount here.
https://brainly.com/question/3541148
#SPJ4
Question 2 of 10
Frank is a champion fish charmer who can charm fish with .62 probability of
success. If he attempts to charm 100 fish, what's the probability he'll charm
between 60 and 80 inclusive? Solve using two methods: normal
approximation without the continuity correction, and normal approximation
with the continuity correction.
A. 332, 337
B. 323, .291
OC. 337,.332
OD. .660,.697
OE. 337,.323
The Solution using two methods are 323, .291, the correct option is B`.
How can we interpret probability?Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment.
Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).
When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%.
Given;
Frank is a champion fish charmer who can charm fish with .62 probability of success
He attempts to charm 100 fish, what's the probability he'll charm
between 60 and 80 inclusive
Now, probability out of 100
=62
This is between 60 and 80
So, 323
Therefore, the probability will be 323 and .291
Learn more about interpretation of probability here:
https://brainly.com/question/23024246
#SPJ1
Select the correct answer. A line t runs upward to the right through two parallel horizontal lines r and s, forming 8 angles numbered from 1 to 8. Given: Transversal t passes through parallel lines r and s. Prove: ∠3 ≅ ∠6 ∠4 ≅ ∠5 Statement Reason 1. r || s given 2. ∠3 ≅ ∠7 ∠4 ≅ ∠8 For parallel lines cut by a transversal, corresponding angles are congruent. 3. What is the next step in the proof? Choose the most logical approach. A. Statement: ∠1 ≅ ∠8 and ∠2 ≅ ∠7 Reason: Congruent Supplements Theorem B. Statement: m∠3 + m∠4 = 180° and m∠7 + m∠8 = 180° Reason: Linear Pair Theorem C. Statement: m∠3 + m∠5 = 180° and m∠4 + m∠6 = 180° Reason: definition of supplementary angles D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem
Answer:
The correct answer is C. Statement: m∠3 + m∠5 = 180° and m∠4 + m∠6 = 180° Reason: definition of supplementary angles.
This statement uses the definition of supplementary angles, which states that two angles are supplementary if their measures add up to 180 degrees. Since ∠3 and ∠6 are corresponding angles, and ∠4 and ∠5 are also corresponding angles, their measures must add up to 180 degrees in order for the parallel lines to be cut by the transversal.
Answer:
Option, D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem
Step-by-step explanation:
In this question that you have put:
7 ≅ ∠6 and ∠8 ≅ ∠5 Reason =
Vertical Angles Theorem ( Or in similar terms VAT )
Make sure that you remember the following:
vertical angles are the angles that are opposite each other when the two line " meet together "
Thus, your answer to your questions is.
D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem
Learn more on similar questions here:
https://brainly.com/question/2496440
This shows a triangle.
7ft
8ft
What is the area of the triangle?
The area of the given triangle is 28 squared feet
What is the area of a triangleThe area of a triangle is a measure of the amount of space enclosed by the triangle. It is a scalar quantity, meaning that it is a single numerical value with no direction.
The area of a triangle can be calculated using various formulas, depending on the information available about the triangle.
In this problem, we have the value of base and the height of the triangle.
The formula is given as;
A = 1/2 b * h
Substituting the values into the formula;
A = 0.5 * 7 * 8
A = 28 squared feet
Learn more on area of triangle here;
https://brainly.com/question/12410386
#SPJ1
find an obtuse angle, θ, such that 0 ≤ θ ≤ 2π and has the same sine as -275° (please explain)
The obtuse angle such that has the same sine as -275° is θ = 95°
How to find the angle θ?We want to find an obtuse angle (with a measure larger than 90°) in the range 0 ≤ θ ≤ 2π (or 0 < θ < 360°, after that we can change the units from degrees to radians) such that sin(θ) = sin(-275°)
First, remember that the sine function has a periodicity of 360°, then:
sin(-275°) = sin(-275° + 360°) = sin(85°)
Now we know that the sine function is symmetric around x = 90°
Then:
sin(90° + x) = sin(90° - x)
if we take x = 5° we will get:
sin(90° + 5°) = sin(90° - 5°)
sin(95°) = sin(85°) = sin(-275°)
Thus we can conclude that θ = 95°
That is the obtuse angle.
Learn more about angles at:
https://brainly.com/question/5023725
#SPJ1
The diagram shows a prism
Draw the front elevation and the side elevation of the prism on the grids.
Use a scale of 2 squares to 1m
The sketch of the front elevation and the side elevation of the prism are added as an attachment
How to draw the front elevation and the side elevation of the prismFrom the question, we have the following parameters that can be used in our computation:
The prism
Using the figure as a guide, we understand that:
The front elevation is a rectangle of 2m by 0.5m
While the side elevation is a rectangle merged with a trapezoid
Next, we draw the elevations (see attachment)
Read more about prism at
https://brainly.com/question/23178481
#SPJ1
For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]A =1 2 11 1 1
AB = [1 0] is the 2x2 identity matrix so, AB=I.
[0 1]
To find a 3x2 matrix B such that AB=I, we need to solve the equation:
A × B = I
where I is the 2x2 identity matrix. We can use the hint given to us to find the columns of B.
Let B1 and B2 be the columns of B. Then we have:
A × B1 = I1
A × B2 = I2
where I1 and I2 are the columns of the 2x2 identity matrix I.
We can solve for B1 and B2 by setting up and solving the following systems of linear equations:
For B1:
1 × B1[1] + 1 × B1[2] = 1
2 × B1[1] + 1 × B1[2] = 0
1 × B1[1] + 1 × B1[2] = 0
For B2:
1 × B2[1] + 1 × B2[2] = 0
2 × B2[1] + 1 × B2[2] = 1
1 × B2[1] + 1 × B2[2] = 0
Solving these systems of equations, we get:
B1 = [-1, 1]
B2 = [1, -1]
Therefore, the 3x2 matrix B that satisfies AB=I is:
B = [-1 1]
[ 1 -1]
[ 0 0]
We can verify that AB is indeed equal to the 2x2 identity matrix I:
A × B = [1 2 1] × [-1 1 0] = [(-1)+2 (1)+(-1) 0+0] = [1 0]
[1 1 1] [ 1 -1 0] [ 1+1 (1)+(-1) 1+0] [0 1]
Therefore, AB = I:
AB = [1 0]
[0 1]
Learn more about matrix at
https://brainly.com/question/28180105
#SPJ4
The question is -
For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]
A = 1 2 1
1 1 1
4
ASSIGNMENT (USE YOUR ASSIGNMENT NOTE)
1. James runs 400m every day. Work out how far James runs in one week. Give your
[3 marks]
answer in kilometres.
2. Here is a signpost
Town Center
3.5km
Park
650m
How far apart are the Town Centre and the Park?
Give your answer in kilometres.
(3 marks)
3. A bottle contains 1.75 litres of lemonade.
A can contains 330 ml of lemonade. Phil has 2 bottles of lemonade and 6 cans of
lemonade. How much lemonade does he have in total? Give your answer in millilitres.
For question 1,
James runs 400m in a day
In a week = 7 days
400m × 7 days = 2800m
To convert 2800m to km
1km = 1000m
So, 2800m/1000m
= 2.8 km
For question 2,
How far are the Town Center and the Park
3.5 km and 650m
650m to km
1km = 1000m
To km = 0.65km
The distance = 3.5km - 0.65km
= 2.85km
So, they are 2.85km apart
For question 3,
A bottle = 1.75 liters of lemonade
A can = 330 ml of lemonade
1.75 liters to milliliters
1 liter = 1000 milliliter
= 1.75 × 1000 ml
= 1750 ml
2 bottles of lemonade
1750ml × 2
= 3500 ml
6 cans of lemonade
330ml × 6
= 1980 ml
In total, 3500ml + 1980ml
= 5480 ml
Read more about Word Problem
https://brainly.in/question/12426468
#SPJ1
Please answer it’s for school
Using the vertices given, the area of triangle PQR is 18 squared units
What is the area of the triangleThe area of triangle PQR can be found using the Shoelace Theorem. This theorem states that the area of a polygon can be calculated by taking the sum of the products of the coordinates of its vertices and subtracting the sum of the products of the coordinates of its vertices in reverse order.
In this case, the vertices of triangle PQR are P(-8, 2), Q(-2, 4), and R(-6, 8), so the area can be calculated as follows:
A = 1/2 * |(-8 * 4) + (-2 * 8) + (-6 * 2) - (2 * -2) - (4 * -6) - (8 * -8)| = 1/2 * |-32 + 16 + -12 - 4 + 24 + 64| = 1/2 * |36| = 18 square units
So the area of triangle PQR is 18 square units.
Learn more on area of triangle here;
https://brainly.com/question/12410386
#SPJ1
Find the value of z such that 0. 14 of the area lies to the left of z. Round your answer to two decimal places.
The value of z is -1.09.
The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a specific data point deviates from the mean. In essence, standard deviation represents the degree of variability present in a given data collection.
Given: P(Z<z)=0.14
To find the value of z such that 0.14 of the area lies to the left of z.
We will use z-score table to get the value of z here.
IN z-score table, we have
For P(Z<-1.09)=0.14
Hence, the value of z is -1.09.
Its approximate value is -1.09
So the final answer is z=-1.09.
Know more about Z score click here;
https://brainly.com/question/15016913
#SPJ4
what is the solution to 2j=16+4j
Answer: j = -8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
2j = 16 + 4j
collecting like terms, you would have
2j - 4j = 16
-2j = 16
divide both sides by 2
j = 16/(-2)
j = -8
Rewrite in simplest radical form
(X) 4.7.PS-15
Question Help
A rectangular garden has a walkway around it. The area of the garden is 2(3.5x+2.5). The combined area of the garden and
the walkway is 2.5(6x+4). Find the area of the walkway around the garden as the sum of two terms.
The area of the walkway around the garden is
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
The area of the walkway of the garden is 8x - 15 square units.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
Given, The area of the garden is 2(3.5x + 2.5) and the combined area of the garden and the walkway is 2.5(6x + 4).
Therefore, The area of the walkway is,
= 2.5(6x + 4) - 2(3.5x + 2.5).
= 15x - 10 - 7x - 5.
= 15x - 7x - 10 - 5.
= 8x - 15 square units.
learn more about rectangles here :
https://brainly.com/question/28993977
#SPJ1
Raito tables green blue
12 16
Blank 4
36 Blank
The ratio tables based on the information will be:
12 16
3 4
36 48
How to calculate the valuesRatio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
This simply indicates that you're dividing the variable A by B. Let us say for instance, the ratio will be 3/10 if A is 3 and B is 10.
Since the ratio is 3:4. When the smaller number is 36, the larger number will be:
= 4/3 × 36.
= 48
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
Subtract and simplify. Show work to earn full credit. (9^2 − 4 − 4) − (−2^3 − + 12)
The simplified form of the numerical expression (9² - 4 - 4) - (- 2³ - + 12) is 93.
What is a numerical expression?Numerical expression is a combination of the words numerical, which refers to numbers, and expression, which denotes a statement. Consequently, it is a statement that uses numbers.
Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.
By mixing numbers with different mathematical operators, we can create a numerical expression. There is no restriction on how many operators can be used in a numerical expression. Between two numbers, some mathematical expressions utilize just one operator, whereas others may use multiple operators.
Given, An expression (9² - 4 - 4) - (- 2³ - + 12).
= (9×9 - 8) - (- 2×2×2 - 12).
= (81 - 8) - (- 8 - 12).
= (73) - (- 20).
= 73 + 20.
= 93.
To learn more about numerical expressions visit:
brainly.com/question/29199574
#SPJ1
5x-5=3x+15
it’s confusing someone help
Answer:
x=10
Step-by-step explanation:
First, add 5 to both sides of the equation, getting rid of the -5 on the left side but still making them equal.
5x=3x+20
Then, do the same with 3x, Subtract from both sides.
2x=20
Lastly, Divide both sides by 2 and you'll get your answer
x=10
Answer:
[tex] \sf \: x = 10[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 5x - 5 = 3x + 15
Then the value of x will be,
→ 5x - 5 = 3x + 15
→ 5x - 3x = 15 + 5
→ 2x = 20
→ x = 20 ÷ 2
→ [ x = 10 ]
Hence, the value of x is 10.
your father told you that he picked more than 1 apple this year. what is the probability that he picked 3 apples, given that information?
1) The probability of picking more than 1 apple is 0.8. 2) the expected number of apples you can pick each year is 2.65. 3) the expected number of apples you can pick each year is 2.65.
To find the probability of picking more than 1 apple, we need to find the sum of the probabilities of picking 2, 3, and 4 apples. Using the table, we have P(N>1) = P(2) + P(3) + P(4) = 0.15 + 0.35 + 0.3 = 0.8. So, the probability of picking more than 1 apple is 0.8. The expected number of apples you can pick each year can be calculated using the formula: E(N) = ∑N * P(N), where the sum is taken over all possible values of N. Using the table, we have E(N) = (1 * 0.1) + (2 * 0.15) + (3 * 0.35) + (4 * 0.3) = 0.1 + 0.3 + 1.05 + 1.2 = 2.65. So, the expected number of apples you can pick each year is 2.65. To find the probability of picking 3 apples, given that your father picked more than 1 apple, we need to use the conditional probability formula. We have P(3|N>1) = P(3 and N>1) / P(N>1) = P(3) / P(N>1) = 0.35 / 0.8 = 0.4375. So, the probability of your father picking 3 apples, given that he picked more than 1 apple, is 0.4375
To learn more about probability click here
brainly.com/question/11234923
#SPJ4
Complete Question
Imagine you have an apple tree, and you pick apples from it each fall. Empirically, the number of apples (N) that you can harvest and the corresponding probability (P) can be summarized in the following table, the table = N - O, 1, 2, 3, 4 And P = 0.1, 0.15, 0.35, 0.3, 0.1
1) What is the probability that you can pick more than 1 apple? 2) What is the expected number of apples you can pick each year? 3) Your father told you that he picked more than 1 apple this year. What is the probability that he picked 3 apples, given that information?
if a seed is planted, it has a 69% chance of growing into a healthy plant. let x be the number of seeds grow into healthy plants when 75 seeds are planted. what is the distribution of x? x ~ ? (,) please show the following answers to 4 decimal places. what is the probability that exactly 44 seeds grow into healthy plants? what is the probability that at least 44 seeds grow into healthy plants? what is the probability that more than 44 seeds grow into healthy plants? what is the probability that between 19 and 53 (including 19 and 53) seeds grow into healthy plants?
The probability that between 19 and 53 (including 19 and 53) seeds grow into healthy plants is 0.9941.
The probability distribution of x, where x is the number of seeds that grow into healthy plants when 75 seeds are planted, is a binomial distribution with parameters n = 75 and p = 0.69. The probability of x = 44 is calculated by using the formula for the probability mass function of the binomial distribution:
[tex]P(x=44) = (75 choose 44) * (0.69)^44 * (1-0.69)^(75-44) = 0.1578[/tex]
The probability of x >= 44 is calculated by using the formula for the cumulative probability function of the binomial distribution:
[tex]P(x > = 44) = 1 - P(x < = 43) = 1 - (75 choose 43) * (0.69)^43 * (1-0.69)^(75-43) = 0.7406[/tex]
The probability of x > 44 is calculated by subtracting the probability of x = 44 from the probability of x >= 44:
P(x > 44) = P(x >= 44) - P(x = 44) = 0.7406 - 0.1578 = 0.5828
The probability of 19 <= x <= 53 is calculated by subtracting the probability of x <= 18 from the probability of x <= 53:
[tex]P(19 < =x < =53) = P(x < =53) - P(x < =18) = 0.9994 - 0.0053 = 0.9941[/tex]
Therefore, the probability that exactly 44 seeds grow into healthy plants is 0.1578, the probability that at least 44 seeds grow into healthy plants is 0.7406, the probability that more than 44 seeds grow into healthy plants is 0.5828, and the probability that between 19 and 53 (including 19 and 53) seeds grow into healthy plants is 0.9941.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ4
2. Order the following decimals from least to greatest.
0.439
0.394
0.441
0.531
0.342
Answer: 0.342 -> 0.394 -> 0.439 -> 0.441 -> 0.531
Step-by-step explanation:
0.342 -> 0.394 -> 0.439 -> 0.441 -> 0.531
If you convert the decimals into fractions out of a hundred, then it will be easily to keep going from least to greatest or greatest to least and soon you won't need help. Keep trying! :)
Edward and his little brother made up
a game using coins. They flip the coins
towards a cup and receive points for
every one that makes it in. Edward
starts with 20 points, and his little
brother starts with 18 points. Edward
gets 2 points for every successful
shot, and his brother, since he is
younger, gets 3 points for each
successful shot. Eventually, the
brothers will have a tied score in the
game. How many additional shots will
each brother have made? How many
points will they both have?
Edward and his brother will have each
made ________
shots, for a tied score
of ________
A 35-year-old woman purchases a $100,000 term life insurance policy for an annual payment of $360. Based on a period life table for the U.S. government, the probability that she will survive the year is 0.999057. Find the expected value of the policy for the insurance company.
The expected value of the policy for the insurance company: $359.38
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The expected value of the policy for the insurance company can be calculated as follows:
Expected value = (Probability of survival) x (Annual payment)
= 0.999057 x $360
= $359.38
So, the expected value of the policy for the insurance company is $359.38.
It's important to note that this is just an estimate based on statistical probabilities and does not guarantee the outcome. The actual value could be higher or lower than this estimate, depending on the actual lifespan of the policyholder.
To know more about Probability check:
https://brainly.com/question/30034780
#SPJ1
A pet store has 80
geckos and anole lizards altogether.
The ratio of geckos to anole lizards is 1:3
.
How many geckos does the pet store have?
Answer:
About 54 geckos
Isabella is conducting an experiment with a 12 sided dice. The sample space is 1 through 12. What is the percent probability that Isabella will roll a 14?
Responses
20
20
0
0
10
10
15
The percent probability that Isabella will roll a 14 is 0%, since the dice she is using has a sample space of 1 through 12 and there is no 14 on the dice. Therefore, the probability of her rolling a 14 is 0%.
The probability of Isabella rolling a 14 with a 12-sided dice is 0%. This is because the sample space of the dice is 1 through 12, and there is no 14 on the dice. In order to calculate the probability, you would need to take the number of possible outcomes (the sample space) and divide it by the number of outcomes you are looking for. In this case, the sample space is 12 and the outcome being searched for is 1, giving you 12 divided by 1 which is 0. This means that the probability of Isabella rolling a 14 is 0%. This is because the sample space does not contain a 14, thus making it impossible for Isabella to roll a 14.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
