Answer:
The required probability is 0.0155.
Step-by-step explanation:
We are given that the one-year survival rate for pancreatic cancer is 20%.
Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.
The above situation can be represented through binomial distribution;
[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]
where, n = number of trials (samples) taken = 12 people
r = number of success = 6 survived
p = probability of success which in our question is probability of
one-year survival rate for pancreatic cancer, i.e; p = 20%
Let X = Number of people survived one year
So, X ~ Binom(n = 12 , p = 0.20)
Now, the probability that 6 survived one year is given by = P(X = 6)
P(X = 6) = [tex]\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}[/tex]
= [tex]924 \times 0.20^{6} \times 0.80^{6}[/tex]
= 0.0155
PLEASE URGENT: 30 POINTS GIVEN
Jen wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 4%, charged as simple interest. They lend her $5000 for 6 years. She makes no payments except the one at the end of that time.
Answer the following questions. If necessary, refer to the list of financial formulas.
(a) How much total interest will Jen have to pay?
$
(b) What will the total repayment amount be (including interest)?
$
If they lend her 5000 for 6 years, and the annual interest is 4%, you would get 24% total interest
A) 1200
For B, you add the 5000 to the interest.
B) 6200
Answer:
6200 i think
Step-by-step explanation:
Help Plz
A rectangular swimming pool is 19 meters long, 10 1/2 meters wide, and 5 1/2 meters deep. What is its volume?
Answer:
The volume is 1097.25 meters cubed.
Step-by-step explanation:
Answer:
Hello There. The correct answer 1,410.75 is you need to find the volume of length x width x height. Then multiply of the numbers what i just put there.
19m× 13.5m× 5.5m= 1,410.75 meters.
Hope It Helps! .ω.
ItsNobodyPLEASE HELP!
Brianna is planting a sapling. The garden center recommended she stabilize the sapling with guy wires for the first few months after planting. If Brianna places the guy wires 6 feet up the trunk of the sapling and 5 feet from the base, how much total wire, to the nearest tenth of a foot, will she need for the two guy wires? *
Answer:
15.6 feet
Step-by-step explanation:
The total length of the two wires for planting the sapling is L = 15.6 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the total length of the two wires for the sapling be L
Now , let the triangle be represented as ΔABC
where the base of the triangle BC = 5 feet
The height of the triangle AB = 6 feet
And , the hypotenuse of the triangle AC = length of one wire
So , L = 2 ( AC )
On simplifying , we get
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
The length of 2 wires = 2AC = 2√ ( AB )² + ( BC )²
The length of 2 wires = 2AC = 2√ ( 6 )² + ( 5 )²
The length of 2 wires = 2AC = 2√ ( 36 + 25 )
The length of 2 wires = 2AC = 2√61
On further simplification , we get
The length of 2 wires = 2AC = 2 x 7.8
The length of 2 wires = 2AC = 15.6 feet
Hence , the length of the wires for the sapling is 15.6 feet
To learn more about triangles click ;
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Please list all the vertices of this figure
Step-by-step explanation:
BAC, BCA, CBA, ACG, ABE, EGC, GEB, EDG, EDA are all vertical of this figure.
Kelly has 2 liters of milk in the refrigerator. she used 1/2 liter of milk in the morning with breakfast. she then use the same quantities of milk at both lunch and dinner, such that she used up all the milk. what quantity of milk does she use at dinner?
Answer:
3/4 liter
Step-by-step explanation:
Kelly starts at 2 liters, then uses 1/2 liter in the morning, so we have 1 1/2 liters. Then, the rest is used for lunch and dinner, and both being the same amount, she used 3/4 liter of milk for dinner.
3/4 litres of milk used by her at dinner.
How to elaborate the problem ?
Kelly has 2 litres of milk in her refrigerator.
She used 1/2 litres of milk with the breakfast in morning.
Remaining milk in her refrigerator = (2- 1/2) litres = 3/2 litres
What is the quantity of milk she use at dinner ?By the problem, She use the same quantities of milk at both lunch and dinner.
So, She use half of the remaining milk at dinner.
∴ The quantity of milk used by her at dinner = 1/2 of 3/2 litres
= (1/2 × 3/2) litres
= 3/4 litres
Learn more about milk measure problem here :
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A line has an c intercept of 3 and a y intercept of negative 6. What is the slope intercept form of it’s equation
y=2x+3
y=2x-6
y=-2x+3
y=-2x-6
Answer:
y = 2x - 6
Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The y-intercept is already given and is -6.
By c intercept, I am assuming you meant x-intercept. With an x-intercept of 3, the point is (3,0). With a y-intercept of -6, the point is (0,-6).
Use the two points to find the slope using the following equation.
[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]
Plug the points into their respective positions and solve.
[tex]m=\frac{-6-0}{0-3}\\ m=\frac{-6}{-3} \\m=2[/tex]
The slope is 2.
Your equation is y = 2x - 6.
Find the area of the composite shape
Answer:
[tex]13.735[/tex] [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of a circle.
[tex]A=\pi r^{2}[/tex]
[tex]r=d/2\\r=8/2\\r=4[/tex]
[tex]A=\pi \times 4^{2}[/tex]
[tex]A=16\pi[/tex]
[tex]A \approx 50.2654824574[/tex]
Area of a square.
[tex]A=s^{2}[/tex]
[tex]A=8^{2}[/tex]
[tex]A=64[/tex]
Subtract the area of the square with the area of the circle.
[tex]64-50.2654824574[/tex]
[tex]= 13.7345175426[/tex]
I hope it helps.
Brainliest much appreciated.
The radius of a circle is 3 in. Find its area to the nearest tenth.
Answer:
28.27 in²
Step-by-step explanation:
A= π r² = π · 3² ≈ 28.27433in²
rounded: 28.27in²
hope this helped!
Steps:
Shape: Circle
Solved for area
Radius: 3 in
Formula: A=πr2
Description:
Using the formula for the area A=πr2. We calculate the area of a circle. Your answer will come as A≈28.27in² after calculating. Round it up to the nearest tenth = 28.27. So it will be the same number when you round it.
Answer: A≈28.27in²
Nearest tenth = 28.27
Please mark brainliest
Hope this helps.
Purchasing an item costing (x) amount before a 6.5% tax could be represented by which of the following?
A. x - 0.065x
B. x + 0.065x
C. 0.935x
D. 1.065x
E. Both A & C
F. Both B & D
will mark BRAINLIEST
PLEASE HELPPPP ! to maintain her income susan must work 50 hours each week susan works 7 hrs on monday tuesday and wednesday and 8 hrs on thursday if the variable t stands for the number of hrs over the rest of the week susan will have to work to meet her goal her goal which of the following choices is the most reasonable value for t . A weeks B dollars C jobs D hours PLEASE HELPPPPPP MEEEEE
Answer:
D
Step-by-step explanation:
We need to know how many hours left she needs to work, not how many weeks because it is for one week. It is not money because her requirment is not about how much money you make per week. It is also not jobs because in the requirements, there is nothing that talks about jobs.
Which statement is true
It would be the first one
Step-by-step explanation:
PLZ HELP WILL GIVE BRAINLIEST AND 80 POINTS
a.) Draw a rectangular prism with these dimensions: 3 units x 9 units x 27 units.
b.) Draw a net of the rectangular prism and label each face with its surface area.
c.) Use the net of the rectangular prism to find the surface area of the solid.
Answer:
check attached image :)
Step-by-step explanation:
Two triangles both have angles that measure 30º, 60º, and 90º. Two quadrilaterals both have angles that measure 60º, 90º, 90º, and 120º.
Which statements must be true? I. The two triangles are congruent. II.
The two triangles are similar.
III. The two quadrilaterals are congruent
. IV. The two quadrilaterals are similar.
A Statements I, II, III, and IV
B Statements I, II, and IV
C Statements II and IV
D Statement II only
Answer:
Option C
Step-by-step explanation:
If all the angles are equal in a triangle and a quadrilateral, they are similar. They are not congruent since the length of the sides may vary.
The triangles are similar by AAA or AA similarity criterion.
simplify the radical expression 4 sqrt y to the 12th power
Answer:
Square root of four is 2 and two to the 12th power I hope that helps
Help. Use two points on the line to find the equation of the line in,standard form
Answer:
3x - 4y = - 12
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Calculate the equation in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0+4}[/tex] = [tex]\frac{3}{4}[/tex]
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = [tex]\frac{3}{4}[/tex] x + 3 ← in slope- intercept form
Multiply through by 4
4y = 3x + 12 or
3x + 12 = 4y ( subtract 12 from both sides )
3x = 4y - 12 ( subtract 4y from both sides )
3x - 4y = - 12 ← in standard form
Cell phone Company ABC charges a $12 start-up fee plus $0.08 per minute, x/ Cell phone Company WYZ charges $0.20 per minute, x, with no start-up fee. Which function represents the difference in cost between Company ABC and Company WYZ?
Answer:
difference of cost between two company = 12 - 0.12 x
Step-by-step explanation:
For company ABC
start up fee = $12
cost of one minute call = $0.08
if x minute call are done then cost of x call = 0.08*x = 0.08x
total cost incurred in company ABC= startup fee+ cost of x minute call = 12+0.08X
___________________________________________________
For company WYZ
start up fee = 0
cost of one minute call = $0.20
if x minute call are done then cost of x call = 0.20*x = 0.20x
total cost incurred in company WYZ plan = startup fee+ cost of x minute call = 0+0.20x = 0.20x
______________________________________________
difference of cost between two company = 12+0.08x - 0.20x
difference of cost between two company = 12 - 0.12x (Answer)
What is the value of f(4), if f(x) = 2x - 16?
PLS HELP. Write an equation that represents the clues given. Clue #1: The sum of six times the first number and four times the second number is equal to 550. Clue #2: The sum of half the first number and four times the second number is equal to 1000
Answer:
Clue#1: 6x+4y=550
Clue #2: 1/2x+4y=1000
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
The first number will be x, and the second number y:
The sum of six times the first number and four times the second number is equal to 550
Six times the first number means that the first number must be multiplied by 6.(6x); the same for four times the second number (4x).
6x+4y=550
The sum of half the first number and four times the second number is equal to 1000
Half the first number means the first number (x) divided by 2,or multiplied by 1/2.
1/2x+4y=1000
Besides phone numbers, what are the other categorical variables in your survey? (The survey asks for family size, the kind of pets they have, the grade of the youngest child in the family, the family's annual income in dollars, what the dad does for a living, whether the mom works, and their phone number.)
A.
Everything but annual income
B.
Grade of youngest child, dad's occupation, whether mom works, and kind of pets
C.
Family size, dad's occupation, whether mom works, and kind of pets
D.
Everything but family size
E.
Dad's occupation, whether mom works, and kind of pets
Answer:
I believe it would be C.
Step-by-step explanation:
Answer:
Grade of Youngest child, dad's occupation, whether mom works, and kinds of pets
Step-by-step explanation:
For the school dance only three members from the student government sold tickets. James sold ten more tickets than Bonnie and Bonnie sold twice as many tickets as Mike.1) Write an algebraic expression to represent how many tickets each boy sold.
I know you're looking for an answer but in doing a challenge where i have to answer 10 questions by the end of today, I'm sorry! :(
A glass vase factory recently produced 3 vases that were chipped and 12 vases that were not. What is the experimental probability that the next vase will be chipped?
Write your answer as a fraction or whole number.
Answer:
3/15 or 1/5 or 20%
Step-by-step explanation:
3+12=15 which is the total number of vases. 3 out of 15 vases were chipped so the probability that the next vase will be chipped is 3/15 or 1/5 or 20%.
Whats the area of the figure ?
Answer:
82 square feet.
Step-by-step explanation:
You count the amount of 1ft x 1ft squares in the diagram and multiply that number by itself.
value of -8/13*26/-3 is
Answer:
5 1/3
Step-by-step explanation:
-8/13*26/-3
A negative times a negative is positive
Rewriting
8/3 *26/13
8/3 * 2/1
16/3
5 1/3
Answer:
[tex] = \frac{16}{3} = 5 \frac{1}{3} \\ [/tex]
Step-by-step explanation:
We know that,
[tex]( - ) \times ( - ) = ( + )[/tex]
Let's solve now
[tex] - \frac{8}{13} \times - \frac{26}{3} \\ = \frac{208}{39} \\ = \frac{16}{3} = 5 \frac{1}{3} [/tex]
What is the quotient?
Please help
Answer: 4 x 10^12
Step-by-step explanation: first you distribute the powers into tens. Any multiply 10 to the eighth power to six, and multiply 10 to the -4th power to 1.5. After that you divide the first number in parentheses by the second number in parentheses. This answer on a regular calculator would be 4+12 zeros. Thus creating the answer 4,000,000,000. Which is, simplified in scientific notation, 4×10 to the 12th power.
PLS HELP ASP HURRY BEST GETS BRAINLESST AND FOLLOW
Answer:
4.07g= 4070mg
9kg= 9000g
Step-by-step explanation:
Thank me later
Hope this helps!!!
Jose drove 300 miles on his vacation. He drove an average of 1.5 times faster on the second 150 miles of his trop than he did on the first 150 miles of his trip. How much time did he spend driving? Let x = his speed on the first half of the trip.
Answer: [tex]t=\dfrac{250}{x}[/tex]
Step-by-step explanation:
Given
Jose drives [tex]300\ miles[/tex]
In first 150 miles he 1.5 times faster than the second half
Let [tex]x (miles/hr)[/tex] be the speed on the second half so
in first half speed is [tex]1.5x[/tex]
time taken in first half [tex]t_1=\dfrac{\text{Distance}}{\text{speed}}[/tex]
[tex]\Rightarrow t_1=\dfrac{150}{1.5x}[/tex]
For second half
[tex]\Rightarrow t_2=\dfrac{150}{x}[/tex]
Total time [tex]=t_1+t_2[/tex]
[tex]t=\dfrac{150}{1.5x}+\dfrac{150}{x}[/tex]
[tex]t=\dfrac{250}{x}\ hr[/tex]
Which one is correct
Answer:
D
Step-by-step explanation:
The seven should be on the outside because it is on the denominator
Write the slope intercept form Through:(5,-3) and (0,0)
Answer:
[tex]y=-\frac{3}{5}x[/tex]
what is the point slope form of a line with slope -3 that contains the point (2,-2)
Answer:
y+2 = -3(x-2)
Step-by-step explanation:
Point slope form of an equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -2 = -3( x-2)
y+2 = -3(x-2)
Answer:
Y=-3x+4
Step-by-step explanation:
Please graphing and all I did was input the coordinates into the Y=mx+b form, got the b and filled in everything else. Hope this helps!
How high is a stack of library books in one book is one and 3/8 in high the second book is one and 5/6 in high and the third is 2 1/3 in high explain how you solve this problem?
Answer:
3 7/8 inches high
Step-by-step explanation:
You convert mixed numbers into improper fractions and use the LCM property in order to add all the numbers together
OK i was right the first time
I hope this helped and I hope it is right:)