Answer:
the probability that the company's total hospital costs in a year are less than 50,000 = 0.7828
Step-by-step explanation:
From the given information:
the probability that the company's total hospital costs in a year are less than 50,000 will be the sum of the probability of the employees admitted.
If anyone is admitted to the hospital, they have [tex]\dfrac{1}{3}[/tex] probability of making at least one more visit, and a [tex]\dfrac{2}{3}[/tex] probability that this is their last visit.
If zero employee was admitted ;
Then:
Probability = (0.80)⁵
Probability = 0.3277
If one employee is admitted once;
Probability = [tex](0.80)^4 \times (0.20)^1 \times (^5_1) \times (\dfrac{2}{3})[/tex]
Probability = [tex](0.80)^4 \times (0.20)^1 \times (\dfrac{5!}{(5-1)!}) \times (\dfrac{2}{3})[/tex]
Probability = 0.2731
If one employee is admitted twice
Probability = [tex](0.80)^3 \times (0.20)^2 \times (^5_2) \times (\dfrac{2}{3})^2[/tex]
Probability = [tex](0.80)^3 \times (0.20)^2 \times (\dfrac{5!}{(5-2)!}) \times (\dfrac{2}{3})^2[/tex]
Probability = 0.1820
If two employees are admitted once
Probability = [tex](0.80)^4\times (0.20)^1 \times (^5_1) \times (\dfrac{1}{3}) \times (\dfrac{2}{3})[/tex]
Probability = [tex](0.80)^4 \times (0.20)^1 \times (\dfrac{5!}{(5-1)!}) \times (\dfrac{1}{3}) \times (\dfrac{2}{3})[/tex]
Probability = 0.0910
∴
the probability that the company's total hospital costs in a year are less than 50,000 = 0.3277 + 0.2731 + 0.1820
the probability that the company's total hospital costs in a year are less than 50,000 = 0.7828
Please answer this correctly without making mistakes
Shortest is Vindale to Wildgrove to Clarksville
18.9 + 13.2 = 32.1 km.
Calculate the length of the unknown side of this right angled triangle
Answer:
12.04
Step-by-step explanation:
Well to solve for the unknown side "c" we need to use the Pythagorean Theorem formula,
[tex]a^2 + b^2 = c^2[/tex]
We already have a and b which are 8 and 9 so we plug them in.
[tex](8)^2 + (9)^2 = c^2[/tex]
64 + 81 = c^2
145 = c^2
c = 12.04 rounded to the nearest hundredth.
Thus,
the unknown side is about 12.04.
Hope this helps :)
Need help with trig questions
Answer:
-8 i + 19 j , 105.07°
Step-by-step explanation:
Solution:
- Define two unit vectors ( i and j ) along x-axis and y-axis respectively.
- To draw vectors ( v and w ). We will move along x and y axes corresponding to the magnitudes of unit vectors ( i and j ) relative to the origin.
Vector: v = 2i + 5j
Mark a dot or cross at the originMove along x-axis by 2 units to the right ( 2i )Move along y-axis by 5 units up ( 5j )Mark the point.Connect the origin with the marked point determined aboveMake an arrow-head at the determined pointLies in first quadrant
Vector: w = 4i - 3j
Mark a dot or cross at the originMove along x-axis by 4 units to the right ( 4i )Move along y-axis by 3 units down ( -3j )Mark the point.Connect the origin with the marked point determined aboveMake an arrow-head at the determined pointLies in 4th quadrant- The algebraic manipulation of complex numbers is done by performing operations on the like unit vectors.
[tex]2*v - 3*w = 2* ( 2i + 5j ) - 3*(4i - 3j )\\\\2*v - 3*w = ( 4i + 10j ) + ( -12i + 9j )\\\\2*v - 3*w = ( 4 - 12 ) i + ( 10 + 9 ) j\\\\2*v - 3*w = ( -8 ) i + ( 19 ) j\\[/tex]
- To determine the angle ( θ ) between two vectors ( v and w ). We will use the " dot product" formulation as follows:
v . w = | v | * | w | * cos ( θ )
v . w = < 2 , 5 > . < 4 , -3 > = 8 - 15 = -7
[tex]| v | = \sqrt{2^2 + 5^2} = \sqrt{29} \\\\| w | = \sqrt{4^2 + 3^2} = 5\\\\[/tex]
- Plug the respective values into the dot-product formulation:
cos ( θ ) = [tex]\frac{-7}{5\sqrt{29} }[/tex]
θ = 105.07°
Amy have 398.5 L of apple juice . Avery have 40098 ml of apple juice how many do they have all together
Answer: 438.5L = 438000ml
Step-by-step explanation:
The question is with the image.
Answer:
A
Step-by-step explanation:
the graph of x'3 is B
the graph of x'(-1/3) is C
There are two pennies lying flat on a table. One of the pennies is fixed to the table, while the other one is being rolled around the fixed one staying tangent to it all the way. How many spins will it make by the time it returns to the starting point ?
Answer:
well if you want my answer even though it could not be right so dont get mad at me if i am wrong but i think that it is all mostly based on how far they are from each other the further it is the more it will roll the closer it is the less it it will roll
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
rolling it shows its circumference and the other pennine has the ame circumference
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?
Answer:
60 ounces
Step-by-step explanation:
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint, that is, the white paint (w) to blue paint (b) ratio is 5:4. We can apply this ratio to different units such as ounces. This means that the mixture has 5 ounces of white paint to 4 ounces of blue paint. If a can of paint contains 75 ounces of white paint, the ounces of blue paint in the can are:
75 oz w × (4 oz b/5 oz w) = 60 oz b
In a four-digit number, the sum of the thousands and hundred digits is 3.
The tens digit is 4 times the hundreds digit.
The ones digit is seven more than the thousands digit.
No two digits are equal.
What is the four-digit number?
Answer: 2149
Step-by-step explanation: If the sum of the first two digits is 3, the choices must be 1 and 2 (or 2 and 1) In order to satisfy the other specifications, "the tens digit is 4 times the hundreds digit." the hundreds digit can't be 2 because that would make the tens dight 8. and the ones digit would also have to 8 in order to satisfy the "seven more than the thousands digit" which would be a 1. And that violates the condition, "No two digits are equal."
So the only possible combination is 2149
4 is 4 times 1
9 is 7 +2
Points A,B,C and D are midpoints of the sides of the larger square. If the smaller square has area 60, what is the area of the bigger square?
Answer:
80
Step-by-step explanation:
From 1985 to 2007, the number B B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 B(t)=-329.4t+13747 where t is the year and t=0 corresponds to 1985. How many federally insured banks were there in 1990?
Answer:
12100
Step-by-step explanation:
If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985
In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990
The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;
B ( t ) = − 329.4 t + 13747
B(5) = -329.4(5) + 13747
B(5) = -1647+13747
B(5) = 12100
This shows that there will be 12100 federally insured banks are there in the year 1990.
Of 10 girls in a class, three have blue eyes. Two of the girls are chosen at random. Find the probability that: (a) both have blue eyes; (c) at least one has blue eyes; (b) neither has blue eyes; (d) exactly one has blue eyes.
Answer:
C.
Step-by-step explanation:
It's the most reasonable answer.
Simplify the expression.
Write your answer without negative exponents. NEED AN ANSWER ASAP
Answer:
[tex]\boxed{\frac{-3b^4 }{a^6 }}[/tex]
Step-by-step explanation:
[tex]\frac{-18a^{-8}b^{-3}}{6a^{-2}b^{-7}}[/tex]
[tex]\frac{-18}{6} \times \frac{a^{-8}}{a^{-2}} \times \frac{b^{-3}}{b^{-7}}[/tex]
[tex]-3 \times \frac{a^{-8}}{a^{-2}} \times \frac{b^{-3}}{b^{-7}}[/tex]
Apply the law of exponents, when dividing exponents with same base, we subtract the exponents.
[tex]-3 \times a^{-8-(-2)} \times b^{-3- (-7)}[/tex]
[tex]-3 \times a^{-8+2} \times b^{-3+7}[/tex]
[tex]-3 \times a^{-6} \times b^{4}[/tex]
[tex]{-3a^{-6}b^{4}}[/tex]
The answer should be without negative exponents.
[tex]a^{-6}=\frac{1}{a^6 }[/tex]
[tex]\frac{-3b^4 }{a^6 }[/tex]
Answer:
[tex] - \frac{3 {b}^{4} }{ {a}^{6} } [/tex]Step-by-step explanation:
[tex] \frac{ - 18 {a}^{ - 8} {b}^{ - 3} }{6 {a}^{ - 2} {b}^{ - 7} } [/tex]
Reduce the fraction with 6
[tex] \frac{ - 3 {a}^{ - 8} {b}^{ - 3} }{ {a}^{ - 2} {b}^{ - 7} } [/tex]
Simplify the expression
[tex] \frac{ - 3 {b}^{4} }{ {a}^{6} } [/tex]
Use [tex] \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b \: } [/tex] to rewrite the fraction
[tex] - \frac{3 {b}^{4} }{ {a}^{6} } [/tex]
Hope this helps...
Best regards!!
A researcher predicts that the proportion of people over 65 years of age in a certain city is 11%. To test this, a sample of 1000 people is taken. Of this sample population, 126 people are over 65 years of age.
The following is the setup for this hypothesis test:
H0:p=0.11
Ha:p≠0.11
The p-value was determined to be 0.106.
Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select all that apply:
a. Reject the H0.
b. Fail to reject the H0.
c. There is NOT sufficient evidence to conclude the proportion of people over 65 years of age in a certain city is 11%.
d. There is sufficient evidence to conclude the proportion of people over 65 years of age in a certain city is 11%.
Answer:
Option b and d
Step-by-step explanation:
With the following data,
H0:p=0.11
Ha:p≠0.11
The p-value was determined to be 0.106 and significance level of 0.05.
Since the p value (0.106) is great than 0.05, then we will fail to reject the null hypothesis and conclude that There is sufficient evidence to conclude the proportion of people over 65 years of age in a certain city is 11%
HELP PLEASE ANYONE !!!!!
Answer:
B. -3x
Step-by-step explanation:
A term is defined as either a constant or a variable with a coefficient.
-3 is incorrect because there is no constant -3 in the expression.
-3x is correct because there is a -3x in the expression
(x + 4) is incorrect because that is a linear binomial and has yet to be distributed.
-7 is incorrect because it has to be distributed.
Find the midpoint of the segment between the points (17,−11) and (−14,−16)
Answer:
(1.5, -13.5)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in our coordinates into the formula:
x = (17 - 14)/2
x = 3/2
y = (-11 - 16)/2
y = -27/2
Answer:
(-1.5, -13.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
( 17+-14)/2 = 3/2 =1.5
To find the y coordinate of the midpoint, add the x coordinates and divide by 2
( -11+-16)/2 = -27/2= - 13.5
The quotient of a number and -5 has a result of 2. What is the number?
Type the correct answer in the box. Use numerals instead of words.
Answer:
-10
-5 * 2 = -10
Hope this is right
What is the measure of <A in the triangle below?
Answer:
62
Step-by-step explanation:
180-116 makes us find out that angle C is 64, thus to find out the inner angles you gotta do 64+ (2x+4)+(3x-13)=180
You follow this operation, find out x and perform 3(25)-13, which ends up giving you 62
Answer:
62°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is not sharing a common side
2x + 4 + 3x - 13 = 116° add like terms
5x - 9 = 116°
5x = 125° divide both sides by 5
x = 25 and angle A is 3x - 13 so 3×25 - 13 = 62°
Help thx!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Answer E
Step-by-step explanation:
If you think about it, the origin is just (0,0). Now, think which one is the closest to that. (0,1/2), or answer E, should be your assumption.
Which equation represents the function graphed
coordinate plane?
Answer:
b. y = |x+4| - 10
Step-by-step explanation:
When you see a v-shaped graph, it could very well relate to an absolute-value function.
The value of the absolute value function has the vertex at x= -4, meaning that it has a minimum value when x=-4, which means that the absolute value function is of the form |x+4| giving a zero when x= -4.
Also, the minimum of the function occurs at y = -10, meaning that the function has been translated by -10.
Therefore the function is
y = |x+4| - 10
Answer:
B
Step-by-step explanation:
EDGE unit review
Brainliest for correct awnser Estimate the line of best fit using two points on the line.A.y = −8x + 80B.y = 4x + 80C.y = −4x + 80D.y = 8x + 80
Answer:
A.y = −8x + 80B
Step-by-step explanation:
first you have to find the slope :
P1(2,64). P2(6,32)
slope=Y2-Y1/X2-X1
slope=64-32/2-6
slope= -8
y= -8x + b. now solve for "b" by using one of the coordinates given above.
y= -8x + b. I will use coordinate p(2,64)
64= -8(2) + b
64 + 16 = b
80= b
you can use any of the coordinates i.e either P1(2,64)or P2(6,32) it doesn't affect the value of "b".
line of equation is :
.y = −8x + 80B
Answer: y= -8x+80
Step-by-step explanation:
Find the volume of the region enclosed by the cylinder x squared plus y squared equals 36 and the planes z equals 0 and y plus z equals 36.
Answer:
[tex]\mathbf{V = 1296 \pi }[/tex]
Step-by-step explanation:
Given that :
Find the volume of the region enclosed by the cylinder [tex]x^2 + y^2 =36[/tex] and the plane z = 0 and y + z = 36
From y + z = 36
z = 36 - y
The volume of the region can be represented by the equation:
[tex]V = \int\limits \int\limits_D(36-y)dA[/tex]
In this case;
D is the region given by [tex]x^2 + y^2 = 36[/tex]
Relating this to polar coordinates
x = rcosθ y = rsinθ
x² + y² = r²
x² + y² = 36
r² = 36
r = [tex]\sqrt{36}[/tex]
r = 6
dA = rdrdθ
r → 0 to 6
θ to 0 to 2π
Therefore:
[tex]V = \int\limits^{2 \pi} _0 \int\limits ^6_0 (36-r sin \theta ) (rdrd \theta)[/tex]
[tex]V = \int\limits^{2 \pi} _0 \int\limits ^6_0 (36-r^2 sin \theta ) drd \theta[/tex]
[tex]V = \int\limits^{2 \pi} _0 [\dfrac{36r^2}{2}- \dfrac{r^3}{3}sin \theta]^6_0 \ d\theta[/tex]
[tex]V = \int\limits^{2 \pi} _0 [648- \dfrac{216}{3}sin \theta]d\theta[/tex]
[tex]V = \int\limits^{2 \pi} _0 [648+\dfrac{216}{3}cos \theta]d\theta[/tex]
[tex]V = [648+\dfrac{216}{3}cos \theta]^{2 \pi}_0[/tex]
[tex]V = [648(2 \pi -0)+\dfrac{216}{3}(1-1)][/tex]
[tex]V = [648(2 \pi )+\dfrac{216}{3}(0)][/tex]
[tex]V = 648(2 \pi )[/tex]
[tex]\mathbf{V = 1296 \pi }[/tex]
For the population {0, 1, 2, 3, 5, 7},
(a) List all the simple random samples of size 5.
(b) Give an example of a systematic sample of size 3 where the elements are listed
in the order : 0, 1, 2, 3, 5, 7.
(c) Give an example of a proportional stratified sample of size 3 where the strata are
{0, 1, 2, 3}, {5, 7}.
(d) Give an example of a cluster sample size of 2 where the clusters are {0, 1}, {2,3},
{5, 7}.
In the given diagram, find the values of x, y, and z.
a. x = 36°, y = 36°, z = 34°
b. x = 44º, y = 44°, z = 44°
c. x = 34º, y = 34°, z = 34°
d. x = 36°, y = 34°, z = 34°
Answer:
a. x = 36°, y = 36°, z = 34°
Step-by-step explanation:
X = 36° because x and 144° are supplementary angles and the sum of supplementary angles = 180°
The sum of interior angles in a triangle is equal to 180° since one of the angle is given as 110° the sum of z and y must be equal to 70° the option that fits these qualities is a. x = 36°, y = 36°, z = 34°
The area of a circle is found using the formula A=\pi r^(2) , where r is the radius. If the area of a circle is 36π square feet, what is the radius, in feet? A. 6 B. 6π C. 18 D. 9π
Answer:
A. 6 feetStep-by-step explanation:
[tex]A=\pi r^2\\Area = 36\pi\\r = ?\\36\pi = \pi r^2\\Divide \:both \:sides \:of\: the \:equation\: by\: \pi\\\frac{36\pi}{\pi} = \frac{\pi r^2}{\pi} \\r^2 = 36\\Find\: the\: square\: root\: of\: both\: sides\: \\\sqrt{r^2} =\sqrt{36} \\\\r = 6\: feet\\[/tex]
Solve the proportion below.
X =
A. 24
B. 49
c. 27
D. 6
Answer:
A. 24
Step-by-step explanation:
4/9 = x/54
x= 54*4/9 ===== multiplying both sides by 54
x= 24
Answer is 24, choice A is correct one
The drama club is selling T-shirts and caps to raise money for a spring trip. The caps sell for $5.00 each, and the T-shirts sell for $10.00 each. The drama club needs to raise at least $500.00 for the trip. The inequality that represents this situation is graphed, with x representing the number of caps sold and y representing the number of T-shirts sold. Which solution is valid within the context of the situation?
Answer:
The correct answer to this question is C: (72,24).
Step-by-step explanation:
We are given that:
The cost of 1 cap is $5 each
The cost of 1 t-shirt is $10 each
Let x be the number of caps sold
Let y be the number of t-shirt sold
In the context we are given that the drama club needs to raise at least $500 to go on the trip.
So based on this information we can create a inequality as:
the number of caps sold x (times) the cost of a single cap + the number of shirts x (times) the cost of a single t-shirt ≥ (greater than or equal to) 500
Inequality: 5x+10y ≥ 500 ( We used a greater than or equal to symbol because it said that the drama club need at least $500 for the trip.
Next we need to figure out how many caps and t-shirt were sold.
- We can already take out two of the options which are the two answer with negatives in them because we know that when you multiply a positive number with a negative number we get a negative number and we don't want that. (So Option A and Option D are out.)
Now all we do is plug x and y into our inequality equation ( 5x+10y ≥ 500 )
B) x=65 caps, y= 17.5 t-shirts ----> 5(65)+10(17.5) =500 which you get $500
YOU MAY THINK THIS IS THE ANSWER BUT! if you look closely at variable y it said they sold 17.5 t-shirt, but here there thing how do you sell 17 shirts and a half of shirt? Which means this option is also wrong!
C) x =72 caps, y =24 t-shirts ------> 5(72)+ 10(24)= $600 which is more than the original amount they were going for because it said at least $500.
So the correct option to this question is C, they sold 72 caps and 24 t-shirts and earned $600 dollars.
Answer: C
Step-by-step explanation: Each coordinate point is located within the solution set, as shown on the graph.
First, take out any solution that includes a negative number, since there cannot be a negative number of bags. So, (-2,10) and (9,-3) are not solutions.
Next, take out any solution that does not have all whole numbers because the bags are whole objects. So, (4.5,9) is not a solution.
So, (8,5) is a valid solution in the context of the situation.
A company is evaluating which of two alternatives should be used to produce a product that will sell for $35 per unit. The following cost information describes the two alternatives.
Process A Process B
Fixed Cost $500,000 $750,000
Variable Cost per Unit $25 $23
Requirement:;
i) Calculate the breakeven volume for Process A. (show calculation to receive credit)
ii) Calculate the breakeven volume for Process B. (show calculation to receive credit)
III) Directions: Show calculation below and Circle the letter of the correct answer.
If total demand (volume) is 120,000 units, then the company should
select Process A with a profit of $940,000 to maximize profit
select Process B with a profit of $450,000 to maximize profit
select Process A with a profit of $700,000 to maximize profit
select Process B with a profit of $690,000 to maximize profit
Answer:
A.50,000 units
B.62,500 units
C.Process A with a profit of $700,000 to maximize profit
Step-by-step explanation:
A.Calculation for the breakeven volume for Process A
Using this formula
Breakeven volume for Process A= Fixed cost/(Sales per units-Variable cost per units)
Let plug in the formula
Breakeven volume for Process A=500,000/(35-25)
Breakeven volume for Process A=500,000/10
Breakeven volume for Process A=50,000 units
B.Calculation for the breakeven volume for Process B
Using this formula
Breakeven volume for Process B= Fixed cost/(Sales per units-Variable cost per units)
Let plug in the formula
Breakeven volume for Process B=750,000/(35-23)
Breakeven volume for Process B=750,000/12
Breakeven volume for Process B=62,500 units
C. Calculation for what the company should do if the total demand (volume) is 120,000 units
Using this formula
Profit=(Total demand*(Sales per units-Variable cost per units for Process A)- Process A fixed cost
Let plug in the formula
Profit =120,000*($35-$25)-$500,000
Profit=120,000*10-$500,000
Profit=1,200,000-$500,000
Profit= $700,000
Therefore If total demand (volume) is 120,000 units, then the company should select Process A with a profit of $700,000 to maximize profit.
Please help. I’ll mark you as brainliest if correct
Answer:
1,-1,3,4
1,6,-2,-4
-4,6,-6,6
Step-by-step explanation:
I believe you just put in the values into the box. Watch the video to see how they did it to make sure it looks like how I did it.
PLEASE HELP ASAP. Drag each tile to the correct box
Answer:
3 <1<4<2
hope it worked
pls mark me as
BRAINLIEST
plss
Answer:
3>1>2>4
Step-by-step explanation:
A school has 39 vacancies for teachers.out of which 22 are for English language,21 are for mathematics and 17 are for fine arts.of these vacancies 11 are for both English language and mathematics,8 for mathematics and fine arts and 7 for both English and fine arts.calculate the number of teachers who must be able to teach all subjects and fine arts only
Answer:
12
Step-by-step explanation:
let
x= no. for English
y= no. for maths
z= no. for fine arts
a= no. for all subjects
x= 22
y= 21
z= 17
x+y+z= 39
x intersect y= 11
y intersect z= 8
x intersect z= 7
(4+a)+ (11-a)+ (7-a)+ (8-a)+ (2+a)+ (2+a)+ a= 39
34+a =39
a= 5
no.of teachers who teaches all & fine art only
= a + (2+a)
= 5+7
= 12