Answer:
The insurance company should charge $1,873.5.
Step-by-step explanation:
Expected earnings:
1 - 0.99813 = 0.00187 probability of the company losing $1 million(if the client dies).
0.99813 probability of the company earning x(price of the insurance).
What premium would an insurance company charge to break even on a one-year $1 million term life insurance policy?
Break even means that the earnings are 0, so:
[tex]0.99813x - 0.00187(1000000) = 0[/tex]
[tex]0.99813x = 0.00187(1000000)[/tex]
[tex]x = \frac{0.00187(1000000)}{0.99813}[/tex]
[tex]x = 1873.5[/tex]
The insurance company should charge $1,873.5.
what Is an equation of the line that passes through points (-12 -8) (-17 -16)
Find the solution set.
The solution set for 5v2 – 125 = 0
solve for the solution of each linear equation.
1. 3x+1=4
2. 7x-6=0
3. 4x-5=19
4. 9x+6=8
5. 8x-7=15
Answer:
no.1 answer 0
Step-by-step explanation:
3x + 1= 4
or; 3x = 4 - 1
or; x = 3 ÷ 3
x = 0
URGENT GIVING BRAINLIEST
Approximately 5% of workers in the US use public transportation to get to work. You randomly select 25 workers and ask if they use public transportation to get to work. Find the probability that exactly 2 workers say yes.
Answer:
0.2305 = 23.05% probability that exactly 2 workers say yes.
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they say yes, or they say no. The probability of a worker saying yes is independent of any other worker, which means that the binomial probability distribution is used to solve this question.
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.
5% of workers in the US use public transportation to get to work.
This means that [tex]p = 0.05[/tex]
You randomly select 25 workers
This means that [tex]n = 25[/tex]
Find the probability that exactly 2 workers say yes.
This is P(X = 2). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305[/tex]
0.2305 = 23.05% probability that exactly 2 workers say yes.
For the same set of observations on a specified dependent variable, two different independent variables were used to develop two separate simple linear regression models. A portion of the results is presented below.
Based on the results given above, we can conclude that:_______.
A. A prediction based on Model 1 is better than a prediction based on Model 2.
B. A prediction based on Model 2 is better than a prediction based on Model 1.
C. There is no difference in the predictive ability between Model 1 and Model 2.
D. There is not sufficient information to determine which of two models is superior for prediction purposes.
Answer:
A. A prediction based on Model 1 is better than a prediction based on Model 2.
Step-by-step explanation:
Given :
Model 1 :
R² = 0.92
s = 1.65
Model 2 :
R² = 0.85
s = 1.91
The Coefficient of determination of the first model is 0.92 which is greater than the coefficient of determination of the Second model, the coefficient of determination gives the proportion of variation in the dependent variable which is caused by the regression line. Hence, we can say a prediction based on Model 1 is better than a prediction based on Model 2 because a larger proportion of the variation in the dependent variable is predictable from the independent variable.
What is the GCF of 1683t, 4085, and 68t??
O 4
O 483t
O 8
O 8837
Answer:I’m pretty sure ( not 100% thou ) the awnser would be A) 4
5.A shipment of 200microwavescontains twentydefective units. In how many ways can a vending company buy fifteenof thesemicrovavesand receivea.No defective units(2pts)b.Exactly two defective units.(2pts)c.At least one defective unit.(2pts)
Answer:
Step-by-step explanation:
Total no. of goods, n = 200
no. of defective units in the goods, d = 20
hence the no. of proper units,
g = n-d
g = = 200-20
g = 180
a)
ways in which a vending company buys fifteen of these microwaves and receive no defective units be:
[tex]^{180}C_{15}=\frac{180!}{15!\times (180-15)!}[/tex]
[tex]\approx 2.83\times 10^{21}[/tex]
b)
ways in which a vending company buys fifteen of these microwaves and receive exactly two defective units be:
[tex]^{20}C_2\times ^{180}C_{13}=\frac{20!}{2!\times (20-2)!} \times \frac{180!}{13!\times (180-13)!}[/tex]
[tex]\approx 190\times (2.146\times 10^{19})[/tex]
[tex]\approx 4.076\times 10^{21}[/tex]
c)
ways in which a vending company buys fifteen of these microwaves and receive at least one defective units be:
[tex]^{20}C_{1}\times ^{199}C_{14}=\frac{20!}{1!\times (20-1)!} \times \frac{199!}{13!\times (199-13)!}[/tex]
[tex]\approx 20\times (8.258\times 10^{19})[/tex]
[tex]\approx 1.652\times 10^{21}[/tex]
24. What are the intercepts of -3x + 5y - 2z = 60?
(-20, 0, 0), (0, 12,0), (0, 0, -30)
(-60, 0, 0), (0, 60, 0), (0, 0, -60)
(-180, 0, 0), (0, 300, 0), (0, 0, -120)
(-3, 0, 0), (0,5, 0), (0, 0, -2)
I need help! please!!
Answer:
r=8°.answerStep-by-step explanation:
95°=6r°+47{ vertically opposite angle are equal}95°-47°=6r°6r°=48°r=48/6r=8°hope it helps.stay safe healthy and happy.Answer:
8
Step-by-step explanation:
95°=6r°+47(being vertically opposite angle)
or,48°=6r
or,48=/6=r°
or,r=8°
Express the radical using the imaginary unit, i.
Express your answer in simplified form.
±sqrt(-35)
Answer:
-7i or 7i
Step-by-step explanation:
You can't take the square root of a negative number, so the value "i" is automatically taken out. You're now left with i +/- sqrt(35). The square root of 35 now can either be -7 or 7 because of the +/-, so the final answer is -7i or 7i.
The programming code below shows an ''if-else'' function. After the code is run, the variable ''y'' is equal to _______.
int x, y;
x = 0; y = 0;
if (x < 0) { y = y + 1; }
else { y = y + 2; }
Answer:
2
Step-by-step explanation:
Since x=0, and it's not <0, the "else statement" is executed making y=0+2
There is a category called "computer and technology", maybe you can get better answers if you select that instead of "mathematics"
What is the value of a if the point ( a, -1) is on the line 4x -3y = 15?
Answer:
a = 3
Step-by-step explanation:
(a, -1) is (x, y)
Plug in the value of y into the given equation to solve for a (x):
4x - 3(-1) = 15
4x + 3 = 15
4x = 12
x = 3
(x, y) is (a, -1) so (a, -1) = (3, -1)
Answer: a=3
Step-by-step explanation:
We are given a point and an equation. To see what "a" is, we can plug in the coordinate into the equation and solve for x.
4a-3(-1)=15 [multiply]
4a+3=15 [subtract both sides by 3]
4a=12 [divide both sides by 4]
a=3
Now, we know that a=3.
How would the fraction [tex]\frac{7}{1-\sqrt{5} }[/tex] be rewritten if its denominator is rationalized using difference of squares?
Answer:
[tex] \frac{7 + 7 \sqrt{5} }{ - 4} [/tex]
Step-by-step explanation:
We would multiply the fraction by its conjugate
( A conjugate is a expression that has the same integer or number values but have different signs) for example
[tex]5x + 2[/tex]
and
[tex]5x - 2[/tex]
ARE Conjugates.
The conjugate of
[tex]1 - \sqrt{5} [/tex]
is
[tex]1 + \sqrt{5} [/tex]
So this means we will multiply the expression by 1 plus sqr root of 5 on the numerator and denominator.
Our new numerator will be
[tex]7 \times (1 + \sqrt{5} ) = 7 + 7 \sqrt{5} [/tex]
We can apply the difference of squares for the denominator.
[tex](x + y)(x - y) = x {}^{2} - {y}^{2} [/tex]
So our denominator will be
[tex]1 - 5 = - 4[/tex]
So our rationalized fraction will be
[tex] \frac{7 + 7 \sqrt{5} }{ - 4} [/tex]
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.
Test H0 : p=0.2 vs Ha : p≠0.2 using the sample results p^=0.27 with n=1003
Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.
Answer:
The value of teh test statistic is [tex]z = 5.54[/tex]
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that the proportion differs from 0.2.
Step-by-step explanation:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]
Using the sample results p^=0.27 with n=1003
This means that [tex]X = 0.27, n = 1003[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.27 - 0.2}{\frac{0.4}{\sqrt{1003}}}[/tex]
[tex]z = 5.54[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0.2 by at least 0.07, which is P(|z| > 5.54), that is, 2 multiplied by the p-value of z = -5.54.
Looking at the z-table, z = -5.54 has a p-value of 0.
2*0 = 0.
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that the proportion differs from 0.2.
How Do I do this equation
Answer:
Part A 12 ≤ 6x ≤ 36
Part B 2 ≤ x ≤ 6
Step-by-step explanation:
find the h.c.f. if 84 and 72
Answer:
12
Step-by-step explanation:
First lets list all the factors of these numbers
72: 1,2 3,4,6,8,9,12,18,24,36,72
84: 1 , 2 , 3 ,4 , 6 , 7 , 12 , 14 , 21 , 28 , 42 , 84
Now lets find the biggest number that is a factor of both 84 and 72
as we can see the highest number that is the factor of both 84 and 72 is 12
12 is the hcf
Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ θ ≤ 2π. Enter your answers as a comma-separated list of ordered pairs.) r = 1 − sin(θ) horizontal tangent
The tangent to the curve at a point P (x, y) has slope dy/dx at that point. By the chain rule,
dy/dx = (dy/dθ) / (dx/dθ)
We're in polar coordinates, so
y (θ) = r (θ) sin(θ) ==> dy/dθ = dr/dθ sin(θ) + r (θ) cos(θ)
x (θ) = r (θ) cos(θ) ==> dx/dθ = dr/dθ cos(θ) - r (θ) sin(θ)
We're given r (θ) = 1 - sin(θ), so that
dr/dθ = -cos(θ)
Then the slope of the tangent to the curve at P is
dy/dx = (dr/dθ sin(θ) + r (θ) cos(θ)) / (dr/dθ cos(θ) - r (θ) sin(θ))
dy/dx = (-cos(θ) sin(θ) + (1 - sin(θ)) cos(θ)) / (-cos²(θ) - (1 - sin(θ)) sin(θ))
dy/dx = - (cos(θ) - sin(2θ)) / (sin(θ) + cos(2θ))
The tangent is horizontal if dy/dx = 0 (or when the numerator vanishes):
cos(θ) - sin(2θ) = 0
cos(θ) - 2 sin(θ) cos(θ) = 0
cos(θ) (1 - 2 sin(θ)) = 0
cos(θ) = 0 or 1 - 2 sin(θ) = 0
cos(θ) = 0 or sin(θ) = 1/2
[θ = π/2 + 2nπ or θ = 3π/2 + 2nπ] or [θ = π/6 + 2nπ or θ = 5π/6 + 2nπ]
where n is any integer.
In the interval 0 ≤ θ ≤ 2π, we get solutions of θ = π/6, θ = 5π/6, and θ = 3π/2. (We omit π/2 because the denominator is zero at that point and makes dy/dx undefined.) So the points where the tangent is horizontal are themselves (√3/4, 1/4), (-√3/4, 1/4), and (0, -2), respectively.
The tangent is vertical if 1/(dy/dx) = 0 (or when the denominator vanishes):
sin(θ) + cos(2θ) = 0
sin(θ) + (1 - 2 sin²(θ)) = 0
2 sin²(θ) - sin(θ) - 1 = 0
(2 sin(θ) + 1) (sin(θ) - 1) = 0
2 sin(θ) + 1 = 0 or sin(θ) - 1 = 0
sin(θ) = -1/2 or sin(θ) = 1
[θ = 7π/6 + 2nπ or θ = 11π/6 + 2nπ] or [θ = π/2 + 2nπ]
Then for 0 ≤ θ ≤ 2π, the tangent will be vertical for θ = 7π/6 and θ = 11π/6, which correspond respectively to the points (-3√3/4, -3/4) and (3√3/4, -3/4). (Again, we omit π/2 because this makes dy/dx non-existent.)
If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75°?
A. 105
B. 75
C. 180°
O
D. 90°
SUBMIT
Answer:
A
Step-by-step explanation:
180 - 75 = 105
Find x so that B = 3x i +5j is perpendicular to is perpendicular to A=2i - 6j
Answer:
5
Step-by-step explanation:
I'm going to call x, x1 because I want to use x as a variable.
So we have a ray with points (0,0) and (3x1,5) on it. This equation for this ray would be y=5/(3x1)×x.
We have another ray with points (0,0) and (2,-6). This equation for this ray would be y=-6/2×x or y=-3x.
We want these two lines' slopes to be opposite reciprocals. The opposite reciprocal of -3 is 1/3.
So we want to find x1 such that 5/(3x1)=1/3.
Cross multiply: 15=3x1
Divide both sides by 3: 5=x1
We want x1 to be 5 so that 5/(3×5) and -3 are opposite reciprocals which they are.
Another way:
If two vectors are perpendicular, then their dot product is 0.
The dot product of <3x,5> and <2,-6> is 3x(2)+5(-6).
Let's simplify:
6x-30.
We want this to be 0.
6x-30=0
Add 30 on both sides:
6x=30
Divide both sides by 6:
x=5
A movie theater has a seating capacity of 283. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2060 on a sold out night, how many children, students, and adults attended
Answer: adults = 79
children = 158
student = 46
Step-by-step explanation:
Let a = adults
Let c = children
Let s = student
From the information given,
a + c + s = 283 ....... i
c/a = 2, c = 2a ....... ii
5c + 7s + 12a = 2060 ...... iii
Put the value of c = 2a into equation i
a + c + s = 283
a + 2a + s = 283
3a + s = 283
s = 283 - 3a
Note that c = 2a
From equation iii
5c + 7s + 12a = 2060
5(2a) + 7(283 - 3a) + 12a = 2060
10a + 1981 - 21a + 12a = 2060
10a + 12a - 21a = 2060 - 1981
a = 79
Note c = 2a
c = 2 × 79 = 158
Since a + c + s = 283
79 + 158 + s = 283
s = 283 - 237
s = 46
adults = 79
children = 158
student = 46
Which description can be written as the expression StartFraction n Over 4 EndFraction minus 13?
Answer:
Joel wants to find the quotient of a number and 4, minus thirteen
Step-by-step explanation:
Given the expression :
n/4 - 13
The options B and D cannot be possible answers as they are referring to products and sums which is not a part of the operation used in the expression.
However, the most appropriate option would be A because,
13 is subtracted from the quotient of n/4 which is what the first option expresses.
What is meant by option C however is :
13 - n/4
Hence. Option A is the correct choice.
Answer:
Joel wants to find the quotient of a number and 4, minus thirteen
Step-by-step explanation:
What is the sum of the 14th square number and the 3rd square number?
Answer:23
Step-by-step explanation:
Suppose that the middle 95% of average scores in the NBA per player per game fall between 8.18 and 31.34. Give an approximate estimate of the standard deviation of the number of the points scored. Assume the points scored has a normal distribution.
Answer:
An approximate estimate of the standard deviation of the number of the points scored per game is of 5.79.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Suppose that the middle 95% of average scores in the NBA per player per game fall between 8.18 and 31.34.
This means that there is 4 standard deviations within this interval. So
[tex]4s = 31.34 - 8.18[/tex]
[tex]4s = 23.16[/tex]
[tex]s = \frac{23.16}{4}[/tex]
[tex]s = 5.79[/tex]
An approximate estimate of the standard deviation of the number of the points scored per game is of 5.79.
What is the amount f rainfall that Miami receives, round to the nearest half or whole? 55 9/10"
Answer:
56"
Step-by-step explanation:
Determine the intercepts of the line
Y ——-,——-
X——-,——-
Answer:
(-8,0), (0,-6)
Step-by-step explanation:
Write an equation
that represents the line.
Answer:
the eq of given line is 2x+y+3=0
Please help I’m really stuck this is my last attempt
What is the mode for the set of data?
Ages
Stem Leaves
5 0, 4, 6
6 0, 2, 3, 4, 8, 8, 9
7 0, 2, 3, 4, 4, 4, 8, 9
8 4, 5, 6, 8
5|0 = 50 years old
33
68
4
74
Answer:
I THINK IT IS 74 NOT 4
I HOPE THIS HELPS!!!!!
Help me with moth of these questions please
Answer:
10. CD + DE = CE
11. BC + CE = BE
Step-by-step explanation:
10. CD and DE lie on a straight line, therefore, CD + DE = CE based on the segment addition postulate.
11. BC and CE lie on a straight line, therefore, BC + CE = BE based on the segment addition postulate.
A square has an area of 25 yd^2. What is the length of each side?
Answer:
5 yd
Step-by-step explanation:
Formula to find area of a square is a² where each side is a,
So, a²=25
or, a=√25
or, a=±5
since a side can't be negative, so a = 5 yd
Answered by GAUTHMATH