Assuming that the policyholder is healthy and has an average life expectancy, we can estimate the expected value of the policy by multiplying the probability of dying during the policy period by the amount that will be paid out in the event of death.
The probability of dying during the policy period can be estimated using actuarial tables, which provide information on life expectancies based on age, gender, and other factors. For a healthy 28-year-old female, the probability of dying during a one-year policy period is very low, likely less than 0.1%.
If we assume a probability of dying of 0.1%, the expected value of the policy would be:
Expected value = 0.001 x $200,000 = $200
This means that, on average, the policyholder can expect to receive $200 in benefits from the policy. However, it's important to note that this is just an estimate and actual benefits may be higher or lower depending on the policyholder's individual circumstances.
x + 5 < 7
x + 5 -? ? 7-?
x ??
<----—------————————--->
-5 - 4 - 3 - 2 - 1 0 1 2 3 4 5
Graph the solution after you get your answer
The inequality can be solved to get x < 2, the graph is on the image at the end.
How to solve and graph the inequality?Here we have the inequality.
x + 5 < 7
To solve this, we need to isolate the variable, subtracting 5 in both sides we will get.
x < 7 - 5
x < 2
The graph of this inequality will be a number line with an open circle at x = 2, and an arrow that extends to the left side (because x is smaller than 2)
Then we will get the graph that you can see in the image at the end.
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Use the FOIL method to find the product. Express the product in descending powers of the variable.
(7+6x)(1-5x)
Use the Law of Sines. Find the measure x to the nearest tenth.
Answer:
Step-by-step explanation:
Law of sines states that the lengths of the sides of a triangle are proportional to the sines of the corresponding angles.
sinM/17 = sinx/10
sin M = .94551
.94551/17 = sin x /10
cross mulitply and then divide.
.954551 · 10/17 = sin x
9.4555/17 = .5562
sin inverse is 33.793 ° or rounded to 33.8°
Students are making lemonade from a powdered lemon drink mix. Zachary mixes 11 cups of water and 5 cups of powdered lemon mix. Dianelys mixes 7 cups of water and 4 cups of powdered lemon mix. Use Zachary and Dianelys’s percent of powdered lemon mix to determine whose mix will be more lemony
The percentage of the powdered lemon mix in Dianelys's mix indicates that Dianelys's mix is more lemony.
What is a percentage?A percentage is an expression of a ratio of two quantities as a fraction of 100.
The number of cups of water Zachary mixes with 5 cups of powdered lemon mix = 11 cups of water
Number of cups of water Dianelys mixes with 4 cups of powdered lemon mix = 7 cups of water
Zachary's percentage of powdered lemon mix = (5/(11 + 5)) × 100 = 31.25%
Dianelys's percentage of powdered lemon mix = (4/(7 + 4)) × 100 = 36.[tex]\overline{36}[/tex]%
The percentage of powdered lemon mix for Dianelys which is more than the percentage in Zachary's powdered lemon mix indicates that Danialys mix is more lemony.
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Kyle submits a design for the contest, but his explanation was misplaced. How can figure A be mapped onto figure B? Can any other transformation be used to map figure A onto figure B
Answer:
A
Step-by-step explanation:
ita a bc i know its I did this before
Can someone answer these 4 trig questions fast and accurately ty
The evaluation of the trigonometric identities to find the sine of the sum of angles A and B, using the values for cos(A) and sin(B) indicates;
15. sin(A + B) = -52/85
16. A + B is in Quadrant III
What are trigonometric identities?Trigonometric identities are equations involving trigonometric ratios that are true for the values of the input variables.
15. cos(A) = -15/17, sin(B) = 4/5
The trigonometric identity for the sine of the addition of two angles, the addition formula indicates that we get;
sin(A + B) = sin(A)·cos(B) + cos(A)·sin(B)
cos(B) = √(1 - (4/5)²) = √(1 - 16/25) = 3/5
sin(A) = √(1 - (-15/17)²) = 8/17
Therefore; sin(A + B) = (8/17) × (3/5) + (-15/17) × (4/5) = -52/85
sin(A + B) = -52/8516. π/2 < A < π, and 0 < B < π/2
Therefore; π/2 + 0 < A + B < π + π/2
The solution from the previous question indicates that we get;
sin(A + B) = -52/85
The sine of an angle is negative in the third and fourth quadrant
The fourth quadrant is; π + π/2 < θ < 2·π
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AquaWorks is training new employees to assemble hot water heaters. The
number of water heaters h that a trainee can assemble per 8-hour shift is given
by h = 2.1 0.9t + 4 where t is the number of days of training the trainee
has received. How many training days are required before a trainee can
assemble 9 heaters? Round up to the nearest day.
Answer:
A trainee requires 3 days of training before they can assemble 9 heaters.
Step-by-step explanation:
We are given the formula for the number of water heaters h that a trainee can assemble per 8-hour shift as:
h = 2.1 0.9t + 4
where t is the number of days of training the trainee has received. We need to find out how many training days are required before a trainee can assemble 9 heaters. So we set h to 9 and solve for t:
9 = 2.1 0.9t + 4
Subtracting 4 from both sides, we get:
5 = 2.1 0.9t
Dividing both sides by 2.1 0.9, we get:
t = (5 / (2.1 0.9))
Using a calculator, we get:
t ≈ 2.49
Rounding up to the nearest day, we get:
t = 3
Therefore, a trainee requires 3 days of training before they can assemble 9 heaters.
I need the answer to this please!!
Answer: 16 pounds
Step-by-step explanation:
12/3=4 and 4x4=16
Find the missing side lengths. Leave your answers as radicals in simplest form. I need help quickly!
Answer:
[tex]m = \dfrac{4}{\sqrt{3}} \text{ or, in rational form: } m = \dfrac{4\sqrt{3}}{3}[/tex]
[tex]n = \dfrac{2}{\sqrt{3}} \text{ or, in rational form: } n = \dfrac{2\sqrt{3}}{3}[/tex]
Not sure which form your teacher wants the answers, would suggest putting in both
Step-by-step explanation:
The missing angle of the triangle = 180 - (60 + 90) = 30°
We will use the law of sines to find m and n
The law of sines states that the ratio of each side to the sine of the opposite angle is the same for all sides and angles
Therefore since m is the side opposite 90° and 2 is the side opposite 60°,
[tex]\dfrac{m}{\sin 90} = \dfrac{2}{\sin 60}}\\\\[/tex]
sin 90 = 1
sin 60 = √3/2
So
[tex]\dfrac{m}{1} = \dfrac{2}{\sqrt{3}/2} \\\\m = \dfrac{2}{\sqrt{3}/2} \\\\m = \dfrac{2 \cdot 2}{\sqrt{3}} \\\\m = \dfrac{4}{\sqrt{3}}\\\\[/tex]
We can rationalize the denominator by multiplying numerator and denominator by √3 to get
[tex]m = \dfrac{4\sqrt{3}}{3}[/tex]
(I am not sure what your teacher wants, you can put both expressions, they are the same)
To find n
Using the law of sines we get
[tex]\dfrac{n}{\sin 30} = \dfrac{m}{\sin 90}\\\\\dfrac{n}{\sin 30} = m\\\\\dfrac{n}{\sin 30} = \dfrac{4}{\sqrt{3}}\\\\[/tex]
sin 30 = 1/2 giving
[tex]\dfrac{n}{1/2} = \dfrac{4}{\sqrt{3}}\\\\n = \dfrac{1/2 \cdot 4}{\sqrt{3}} \\\\n = \dfrac{2}{\sqrt{3}}[/tex]
In rationalized form
[tex]n = \dfrac{2\sqrt{3}}{3}}[/tex]
Suppose the probability density function of a random variable X is
f(x)=[tex]\left \{ {{cx^{2}, 1\leq x\leq 2 } \atop {0, else}} \right.[/tex]
a. Find the value of constant c
b. Find the value of P(X>3/2)
The value of,
constant c is 3/7 andP(x>3/2) is 27/18Given function f(x) = cx for 1 ≤ x ≤ 2
a) To find the value of constant x, we have to use the following p.d.f condition as shown below,
[tex]\int\limits^a_b {x} \, dx =1[/tex]
here, a is -∞ and b is ∞.
From the above condition to find the value of c,
[tex]\int\limits^2_1{cx^2} \, dx[/tex] = 1
c * [[tex]\frac{x^3}{3}[/tex]]²₁ = 1
c * [8/3 - 1/3] = 1
c * 7/3 = 1
c = 3/7.
b) To find the value of P(x>3/2) we have to substitute the value of 3/2 in the given expression of f(x) = 3/7 * x²
f(3/2) = 3/7 * (3/2)²
= 3/7 * 9/4
= 27/28.
From the above solution, we solved both problems.
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Shape of sampling, distribution, CLT application and proportion
1. normally distributed if the sample size is 30 or larger.
2. Not always normally distributed.
3. Skewed to the right is still normally distributed
4. normally distributed.
1. normally distributed if the sample size is 30 or larger.
2. If the population from which samples are drawn is not normally distributed, then the sampling distribution of the sample mean is not always normally distributed. It depends on the sample size and the shape of the population distribution.
3. The sampling distribution of the sample mean for a sample of 10 elements taken from a population with a bell-shaped distribution that is skewed to the right is still normally distributed, by the central limit theorem, as long as the sample size is sufficiently large (typically at least 30) or the population distribution is approximately normal. Therefore, the answer is normally distributed.
4. The sampling distribution of the sample mean for a sample of 36 elements taken from a population with a bell-shaped distribution is normally distributed regardless of the population's skewness. Therefore, the answer is "normally distributed".
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A right rectangular prism and its net are shown below.
Answer:
A = 5
B = 4
C = 8
D = 3
Step-by-step explanation:
This is more of a visual calculation so I can't really explain much about it other than that you match up the side in the prism with the side in the net
Answer: 108
Step-by-step explanation:
If you turn the shape, where the pointy side of the ramp is facing you and you flipped it open and laid out the sides, that's the "net" image on right
A = 5 the long side of that triangle is also the short side of that rectangle
B = 3 it's the short side of the triangle
C = 8 long part of the rectangle
D = 4 long side of triangle
To find surface area. Find the area of each of the shapes and add it all up
Top Rectangle:
A=Lw=C*A = 5*8 = 40
Middle Rectangle:
A=Lw = B*C = 3*8 = 24
Bottom Rectangle:
A=LW = 4*C = 4*8=32
Triangles are same
A=1/2 bh = 1/2 D*B = 1/2 * 4* 3 =6
But there are 2 of them so A=12
Now add all the shapes together
A(total)=40+24+32+12=108
years from 1970 through 2010. X a mathematical model p+ 2 =44
Given the above model, we can state that it's predictions were accurate.
How is this so?The model uses the variable x which represents no. of years from 1970 to 2010
2010 -1970 = 40
P + (x/2) = 44
P + 40/2 = 44
P + 20 = 44
P = 44 - 20
p = 24
The model, it predicted 24% of the population would be smoking in this city in the year 2010. Whereas the data from the graph tell us that
28 % of the adults actually smoked in the city in 2010. Hence the model is accurate .
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Full Question:
The mathematical model
p+ x/2 =44
Describes the percentage, p, of adults who smoked cigarettes x years after 1970
Does the mathematical model underestimate or overestimate the percentage of adults who smoked cigarettes in 2010? By how much?
A sample of a radioactive substance has an initial mass of 45.1 mg. This substance follows a continuous exponential decay model and has a half-life of 19
minutes.
(a)let t be the time (in minutes) since the start of the experiment, and
let y be the amount of the substance at time t.
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
y = ()e^()t
(b) How much will be present in 9 minutes?
Do not round any intermediate computations, and round your
answer to the nearest tenth.
a) The formula relating y to t is: y = 45.1 * e^(-0.693/19 * t) b) there will be approximately 30.1 mg of the substance present after 9 minutes.
How to Write a formula relating y to t.(a) The general formula for exponential decay is y = y0 * e^(-kt), where y is the amount at time t, y0 is the initial amount, k is the decay constant, and e is Euler's number.
To find the decay constant, we can use the fact that the half-life is 19 minutes. The formula for half-life is t1/2 = ln(2) / k, where ln(2) is the natural logarithm of 2.
Substituting t1/2 = 19 and ln(2) = 0.693 into the formula gives:
19 = 0.693 / k
k = 0.693 / 19
So the formula relating y to t is:
y = 45.1 * e^(-0.693/19 * t)
(b) To find how much will be present in 9 minutes, we can plug t = 9 into the formula we found in part (a):
y = 45.1 * e^(-0.693/19 * 9) ≈ 30.1 mg
So, there will be approximately 30.1 mg of the substance present after 9 minutes.
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What is the end behavior of this radical function?
The end behavior of this radical function is "as x approaches positive infinity, f(x) approaches positive infinity".
As we know that the function f(x) = 4√(x − 6) is a radical function with an even index (4), which means that the function is defined for all non-negative values of x.
As x approaches positive infinity, the value of x − 6 also approaches positive infinity, and the square root function grows without bound.
Since the function is multiplied by a positive constant (4), the entire function f(x) also grows without bound as x approaches positive infinity.
Therefore, the end behavior of the function is that as x approaches positive infinity, f(x) approaches positive infinity.
Hence, option A correctly describes the end behavior of the function.
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A shopper has $430 to spend on a winter coat. Write and solve an inequality to find the prices p of coats that the shopper can buy. Assume that p is greater than or equal to 175.
The inequality that represents the range of prices of winter coats the shopper can buy as 175 ≤ p ≤ 430
To write the inequality, we can use the variable p to represent the price of the coat. The inequality we can write is:
p ≥ 175
This inequality means that the price p of the coat must be greater than or equal to $175.
Now, we also know that the shopper has a budget of $430 to spend on a winter coat. This means that the price p of the coat must be less than or equal to $430. We can represent this inequality as:
p ≤ 430
This inequality means that the price p of the coat must be less than or equal to $430.
To find the range of prices that the shopper can buy, we need to find the values of p that satisfy both of these inequalities. We can do this by finding the intersection of the two inequality regions on a number line, or by solving the system of inequalities:
p ≥ 175
p ≤ 430
To solve this system, we simply need to find the values of p that satisfy both inequalities simultaneously. We can do this by taking the intersection of the two inequality regions:
175 ≤ p ≤ 430
This means that the price p of the winter coat must be greater than or equal to $175 and less than or equal to $430. Therefore, the shopper can buy any winter coat with a price in this range.
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Needdd help pleaseeeee
The value of the matrix 4G + 2F is [tex]4[G] + 2[F] = \begin{bmatrix}34 & -4 & 28 & -18 & 58 \\-42 & -8 & 16 & 30 & 8 \\24 & 34 & 4 & 34\end{bmatrix}[/tex]
Matrices are an essential tool in mathematics and can be used to solve a variety of problems. In this case, we are given two matrices G and F, and we are asked to find the value of 4G + 2F.
To understand how to calculate the value of 4G + 2F, we first need to understand what it means to multiply a matrix by a scalar. When we multiply a matrix by a scalar, we simply multiply every element in the matrix by that scalar.
Now that we understand scalar multiplication, we can use it to find the value of 4G + 2F. We simply need to multiply each matrix by its respective scalar and then add the results element-wise.
[tex]4G = 4\begin{bmatrix}8 &-5 &8 &-2 &10 \\-6& -7&1 & 9& 2\\4&6 &3 &7 &5 \\-4 & -3& 0& -10& -9\end{bmatrix}= \begin{bmatrix}32 & -20 & 32 & -8 & 40 \\-24 & -28 & 4 & 36 & 8 \\16 & 24 & 12 & 28 & 20 \\-16 & -12 & 0 & -40 & -36\end{bmatrix}[/tex]
Now we have to find the value of 2[F]. that can be calculated as follows
[tex]2F = 2\begin{bmatrix}1 &8 &-2 &-5 &9 \\-9& 10&6 &-3&0\\4&5 &-4 &3 &7 \\2 &-10&-6 & -1& -8\end{bmatrix}= \begin{bmatrix}2 & 16 & -4 & -10 & 18 \\-18 & 20 & 12 & -6 & 0 \\8 & 10 & -8 & 6 & 14 \\4 & -20 & -12 & -2 & -16\end{bmatrix}[/tex]
Now we can add the two matrices element-wise to get the final result:
[tex]4G + 2F = \begin{bmatrix}32 & -20 & 32 & -8 & 40 \\-24 & -28 & 4 & 36 & 8 \\16 & 24 & 12 & 28 & 20 \\-16 & -12 & 0 & -40 & -36\end{bmatrix} +\begin{bmatrix}2 & 16 & -4 & -10 & 18 \\-18 & 20 & 12 & -6 & 0 \\8 & 10 & -8 & 6 & 14 \\4 & -20 & -12 & -2 & -16\end{bmatrix}[/tex]
[tex]4[G] + 2[F] = \begin{bmatrix}34 & -4 & 28 & -18 & 58 \\-42 & -8 & 16 & 30 & 8 \\24 & 34 & 4 & 34\end{bmatrix}[/tex]
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I NEED HELP WITH STATISTICS
The median of this data set is equal to 9.
The mean of this data set is equal to 13.7.
The number of mode that this data set have is zero modes.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
For the total number of data, we have;
Total, F(x) = 26+ 0 -1 + 33 + 2 + 31 + 10 + 21 + 7 + 8
Total, F(x) = 137
Mean = 137/10
Mean = 13.7.
Median = (8 + 10)/2
Median = 18/2
Median = 9.
In conclusion, the mode of the data set is non-existent or zero modes because all of the number have the same frequency.
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Help me please man, I’m stuck
The value of function g (5) is,
⇒ g (5) = 30/13
We have to given that;
Function is,
g (x) = {(x² + 5) / (x + 8) if x ≠ - 8
= { x - 1 ; if x = - 8
Hence, The value of function g (5) is,
⇒ g (5) = (x² + 5) / (x + 8)
⇒ g (5) = (5² + 5) / (5 + 8)
⇒ g (5) = (30) / (13)
Thus, The value of function g (5) is,
⇒ g (5) = 30/13
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Which of the following statements is true and would show that the 4 points are the vertices of a parallelogram? A. DA = AB = BC = CD = v17 B. AB = CD = v13; DA = BC = v17C. DB = v18; AC = v38
Answer:
B. AB = CD = sqrt(13); DA = BC = sqrt(17)
This is because in a parallelogram, opposite sides are equal in length. In this statement, AB is equal to CD and DA is equal to BC, so opposite sides are equal. The values of AB, CD, DA, and BC are given as the square root of 13 and the square root of 17, which matches the condition of the statement.
In statement A, all sides are equal in length, which means the shape is a rhombus, not necessarily a parallelogram.
Find each of the following probabilities for a normal distribution.
a. p(z > 1.25)
b. p(z > –0.60)
c. p(z < 0.70)
d. p(z < –1.30)
The solution is: the following probabilities for a normal distribution is:
a. 0.5434
b. 0.5746
c. 0.2957
d. 0.0902
Here, we have,
Explanation:
To find each probability we need to use the normal distribution table that is accumulated to the left, so each probability is equal to
P(-1.80 < z < 0.20) = P( z < 0.20) - P( z < -1.80)
P(-1.80 < z < 0.20) = 0.5793 - 0.0359
P(-1.80 < z < 0.20) = 0.5434
P(-0.40 < z < 1.40) = P( z < 1.40) - P( z < -0.40)
P(-0.40 < z < 1.40) = 0.9192 - 0.3446
P(-0.40 < z < 1.40) = 0.5746
P(0.25 < z < 1.25) = P(z < 1.25) - P(z < 0.25)
P(0.25 < z < 1.25) = 0.8944 - 0.5987
P(0.25 < z < 1.25) = 0.2957
P(-0.90 < z < -0.60) = P(z < -0.60) - P(z < -0.90)
P(-0.90 < z < -0.60) = 0.2743 - 0.1841
P(-0.90 < z < -0.60) = 0.0902
Therefore, the answers are, the following probabilities for a normal distribution is:
a. 0.5434
b. 0.5746
c. 0.2957
d. 0.0902
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Please help me with this
Answer:
a) y = 5.2727x + 32.5276
b) y = 5.2727(6) + 32.5276
= 64.1638 inches
c) y = 5.2727(7.153) + 32.5276
= 70.2432 inches
!! will give brainlist !!
Use trigonometric ratios to find the value of each variable. Round answers to the nearest tenth.
Answer:
Set your calculator to degree mode.
2) tan(43°) = x/8.2
x = 8.2tan(43°) = 7.6
3) sin(29°) = 3.5/x
x sin(29°) = 3.5
x = 3.5/sin(29°) = 7.2
N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?
Answer: According to the problem, N Heracio used the computer for 40 hours last week. We are asked to find the difference between the time spent on shopping online and doing homework.
To do this, we first need to find the amount of time spent on each activity. We can do this by multiplying the total computer time by the percentage of time spent on each activity:
Time spent on videos = 10% of 40 hours = 4 hours
Time spent on homework = 15% of 40 hours = 6 hours
Time spent on games = 20% of 40 hours = 8 hours
Time spent on social media = 25% of 40 hours = 10 hours
Time spent on shopping online = 20% of 40 hours = 8 hours
Therefore, Heracio spent 6 hours on homework and 8 hours on shopping online.
The difference between these two amounts is:
6 hours - 8 hours = -2 hours
This means that Heracio spent 2 hours more on shopping online than on doing homework.
Step-by-step explanation:
Find the y value if the line through (-4, -10) and (2, y) has a slope of 4.
Answer:
y=14
Concept Used:
Slope of a line: [tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where (x1,y1) and (x2,y2) are passing points
Step-by-step explanation:
On substitution:
[tex]4 = \frac{y-(-10)}{2-(-4)}[/tex]
Solving for y:
y = 14
A publisher reports that 72% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 380 found that 67% of the readers owned a personal computer. Find the value of the test statistic. Round your answer to two decimal places.
Answer: The value of the test statistic to 2 d.p is z= 1.65
Step-by-step explanation:
P cap= 0.72
n= 170
P= 0.66
q= 1- p
q= 1- 0.66
q= 0.34
Z=( p cap - p)/√(p*q)/n
Z= (0.72- 0.66)/√(0.66*0.34)/170
Z= 0.06/0.036332
Z= 1.65
Helpppppppp pleaseeeeee
The value of the product of -4 row one and row 3 is [90 -9 -1]
What is the product of a matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or expression.
The given matrix is
[tex]\left[\begin{array}{ccc}1&2&1\\0&4&-2\\4&-1&6\end{array}\right] \left[\begin{array}{ccc}-5&\\3\\-8&\end{array}\right][/tex]
the product is given as
-4[1 2 1] + [4 -1 3]
= [ -4 -8 -4] + [ 4 -1 3]
= [90 -9 -1]
The sum of the product is [90 -9 -1]
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I just don’t know what you do here!? Please help!!
Solve the problem and show how you solved it.
Georgia is a long-distance swimmer. She swims 2 miles
every day. How many miles does she swim in 5 days?
Answer:
Step-by-step explanation:
chickennnnnnnnn
What is the value of "x", when 1/3x = 9 1/3?
Answer:
x=28
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable.
have a good day :)
Answer
x=3 1/9
Step-by-step explanation:
In circle e, Ed =4 and m/FEG = 45 find the area of shaded sector express your answer as a fraction time pi
The area of the sector is 2π/1
How to determine the areaThe formula for calculating the area of a sector is expressed as;
A = θ/360 πr²
Given that the parameters are;
A is the area of the sector.θ takes the value of the angle.π takes the constant value of 3.14r is the radius of the circleFrom the information given, we have that;
The angle = 45 degrees
radius, r = 4
Substitute the values, we have;
Area = 45/360 × π × 4²
Divide the values
Area = 3/ 24 × π × 16
Multiply the values, we have;
Area = 48π/24
Divide the values, we have;
Area = 2π/1
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