Answer:
10%
Step-by-step explanation:
10/100 = 10%
Answer:
90% or 0.9
Step-by-step explanation:
0.1 translates into 10% so we can subtract that from 100% to get 90%.
Neuroblastoma is a rare, serious, but treatable disease. A urine test, the VMA test, has been developed that gives a positive diagnosis in about 70% of cases of neuroblastoma. It has been proposed that this test be used for large-scale screening of children. Assume that 300,000 children are to be tested, of whom 8 have the disease. We are interested in whether or not the test detects the disease in the 8 children who have the disease. Find the probability that a) none will be missed. b) seven cases will be detected. c) two or more cases will be missed. d) exactly 75% will be detected. d) six or less cases will be detected.
Answer:
Part a) probability that none will be missed means none will have the disease= 0.058
Part b) probability that seven cases will be detected= 0.00122
Part c)probability that two or more cases will be missed.=0.744
Part d) ) probability that exactly 75% will be detected= 75% of 8= 6= 0.01000188
Part e) probability six or less cases will be detected = 0.171
Step-by-step explanation:
This is a binomial probability distribution . Here p= 0.7 and q= 1-0.7= 0.3 n= 8
Part a) none will be missed means none will have the disease
P (x= 0)= 8C0(0.7)^8 (0.3)^0
P (x= 0)=1*(0.7)^8 (0.3)^0=0.058
Part b) seven cases will be detected
P (x= 7)= 8C7(0.7)^1 (0.3)^7 = 0.00122
Part c) two or more cases will be missed.
1- P (x= 0)- P (x= 1)
1-0.058-0.198=0.744
Part d) ) exactly 75% will be detected= 75% of 8= 6
P (x= 6)= 8C6(0.7)^2 (0.3)^6=0.01000188
Part e) six or less cases will be detected.
1- P (x= 7)= 8C7(0.7)^1 (0.3)^7+P (x= 8)= 8C8(0.7)^0 (0.3)^8
1- 0.802+0.027=1- 0.829= 0.171
What is a difference between starch and glycogen?
Answer/Explanation:
Starch and glycogen are both polysacharide molecules, meaning they are made up of chains of monosaccharides - sugars. They are both polymers of glucose monomers.
However, they differ in structure. Glycogen is far more branched than starch.
Starch is the storage carbohydrate most often found in plants, whereas glycogen is the storage carbohydrate most often found in animals and fungi.
What is 3945 in expanded form?
Answer:
3000 + 900 + 40 + 5
Step-by-step explanation:
(3 x 1000) + (9 x 100) + (4 x10) + (5 x 1) = 3000 + 900 + 40 + 5
confidence interval of months to months has been found for the mean duration of imprisonment, , of political prisoners of a certain country with chronic PTSD.a. Determine the margin of error, E.b. Explain the meaning of E in this context in terms of the accuracy of the estimate.c. Find the sample size required to have a margin of error of months and a % confidence level. (Use months.)d. Find a % confidence interval for the mean duration of imprisonment, , if a sample of the size determined in part (c) has a mean of months.
Complete Question
A 95% confidence interval of 19.3 months to 47.5 months has been found for the mean duration of? imprisonment, ??,of political prisoners of a certain country with chronic PTSD.
a. Determine the margin of error, E.
b. Explain the meaning of E in this context in terms of the accuracy of the estimate.
c. Find the sample size required to have a margin of error of 13 months and a 99% confidence level.? (Use 38 months. for standard deviation )
d. Find a 99% confidence interval for the mean duration of? imprisonment, ??, if a sample of the size determined in part? (c) has a mean of 36.5 months.
Answer:
a
[tex]E = 14.1 [/tex]
b
In this context E tell us that the true mean will lie within E = 14.1 of the sample mean
c
[tex]n =57 [/tex]
d
[tex] 23.514 < \mu < 49.486[/tex]
Step-by-step explanation:
Considering question a
From the question we are told that
The upper limit is U = 47.5 months
The lower limit is L = 19.3 months
Generally the margin of error is mathematically represented as
[tex]E = \frac{U - L }{2}[/tex]
=> [tex]E = \frac{ 47.5 - 19.3 }{2}[/tex]
=> [tex]E = 14.1 [/tex]
Considering question b
In this context E tell us that the true mean will lie within E = 14.1 of the sample mean
Considering question c
Generally the sample size is mathematically represented as
[tex]n = [ \frac{ Z_{\frac{\alpha }{2} * \sigma }}{ E} ]^2[/tex]
Here E is given as E = 13
Given that the confidence level is 99% then the level of significance is
[tex]\alpha = (100 - 99 )\%[/tex]
=> [tex]\alpha = 0.01 [/tex]
From the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58[/tex]
So
[tex] n = [ \frac{2.58 * 38}{13}]^2[/tex]
=> [tex]n =57 [/tex]
Considering question d
From the question
The sample mean is [tex]\= x = 36.5[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{n}[/tex]
=> [tex]E = 2.58 * \frac{38 }{57}[/tex]
=> [tex]E = 12.986 [/tex]
Generally the 99% confidence interval for mean distribution is mathematically represented as
[tex] 36.5 - 12.986 < \mu < 36.5 + 12.986[/tex]
=> [tex] 23.514 < \mu < 49.486[/tex]
Which is the equation of the line that passes through the point (2, -2) and has a slope
of 3?
y= 223 +2
y = 2x + 3
y = 3x - 8
y = 3x - 2
Answer:
The answer is
y = 3x - 8Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1) \\ [/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (2, -2) and slope is 3
The equation is
[tex]y + 2 = 3(x - 2) \\ y + 2 = 3x - 6 \\ y = 3x - 6 - 2[/tex]
We have the final answer as
y = 3x - 8Hope this helps you
Can someone explain how my teacher did this? I don't understand it at all.
Without using a calculator put these side lengths in order from least to greatest
Answer:the correct order is 2√6 cm > 2√3 cm > √2 cm.
Step-by-step explanation:I got it correct on edmentum
Factor out the GCF of (2x+1)
Answer:
Step-by-step explanation:
The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.
Urgent
ALMN is reflected about the line y = 3.
Answer:
B
Step-by-step explanation:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). ... the line y = x is the point (y, x). The reflection of the point (x,y) across. the line y = -x is the point (-y, -x).
Which set of parametric equations over the interval 0 ≤ t ≤ 1 defines a line segment with initial point (–5, 3) and terminal point (1, –6)?
x(t) = –5 + t; y(t) = 3 – 6t
x(t) = –5 + 3t; y(t) = 1 – 6t
x(t) = –5 + 6t; y(t) = 3 – 9t
x(t) = –5 + 8t; y(t) = 1 – 7t
Given:
A line segment with initial point (–5, 3) and terminal point (1, –6).
To find:
The set of parametric equations over the interval 0 ≤ t ≤ 1 which defines the given line segment.
Solution:
Initial point is (–5, 3). So,
[tex]x(0)=-5,y(0)=3[/tex]
Terminal point is (1, –6).
[tex]x(1)=1,y(1)=-6[/tex]
Check which of the given set of parametric equations satisfy [tex]x(0)=-5,y(0)=3,x(1)=1,y(1)=-6[/tex].
Put t=1 in each set of parametric equations.
In option A,
[tex]y(1)=3-6(1)=3-6=-3\neq -6[/tex]
So, option A is incorrect.
In option B,
[tex]y(1)=1-6(1)=1-6=-5\neq -6[/tex]
So, option B is incorrect.
In option C,
[tex]y(1)=3-9(1)=3-9=-6[/tex]
[tex]x(1)=-5+6(1)=-5+6=1[/tex]
Put t=0, in this set of parametric equations.
[tex]x(0)=-5+6(0)=-5[/tex]
[tex]y(0)=3-9(0)=3[/tex]
So, option C is correct.
In option D,
[tex]y(1)=1-7(1)=1-7=-3\neq -6[/tex]
[tex]x(1)=-5+8(1)=-5+8=3\neq 1[/tex]
So, option D is incorrect.
Gas costs $3.05 a gallon, and your car travels at 27 miles for each gallon of gas. How far
can you travel in your car with $95 in your pocket?
A: 7800
B: 11 miles
C: 870 miles
D: 840
We can travel approximately 840 miles with $95.
The correct answer is option (D) 840 miles
What is ratio?"It is a quotient of two mathematical expressions."
What is proportion?"It is a mathematical expression where two ratios are equal."
For given example,
the gas costs $3.05 a gallon.
This means, 1 gallon gas = $3.05
We need to find the distance, we can travel in a car with $95 in pocket.
Let 'm' gallon gas costs $95
The ratio of amount of gas to the price must be proportion.
So, [tex]\frac{1}{3.05} = \frac{m}{95}[/tex]
⇒ 95 = 3.05 m
⇒ m = 95/3.05
⇒ m = 31.14 gallon
Since, car travels at 27 miles for each gallon of gas.
Let car travels 'x' miles for 31.15 gallon of gas.
The ratio of amount of gas to the distance traveled by car must be proportion.
⇒ [tex]\frac{27}{1} = \frac{x}{31.14}[/tex]
⇒ 27 × 31.14 = x
⇒ x = 840.7
⇒x ≈ 840 miles
Therefore, we can travel approximately 840 miles with $95.
The correct answer is option (D) 840 miles
Read more about ratio and proportion here:
https://brainly.com/question/26974513
#SPJ2
f (x) = 3x^2+ 2x
Find f (-4)
Answer:
I think it is 40
Step-by-step explanation:
Simplify open parentheses x to the two fifths power close parentheses to the 3 sevenths power.
Answer:
x^(6/35)
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)^c = a^(bc)
__
[tex](x^{\frac{2}{5}})^{\frac{3}{7}}=x^{\frac{2\cdot 3}{5\cdot 7}}=\boxed{x^{\frac{6}{35}}=\sqrt[35]{x^6}}[/tex]
!!!WILL GIVE BRANLIEST ASAP!!!
State the domain and range. Is it a function?
WRITE YOUR ANSWER FROM LEAST TO GREATEST USING ( ). NO SPACES.
X
y
3
1
0
5
4
7
-3
0
Domain=
Ranger
Is it a Function? Y/N
Answer:
Domain: (-3,-3,0,4)
Range: (-5,0,1,7)
Function: No
Step-by-step explanation:
Because there is a repeating -3 in the domain.
Brainliest please!
Using the digits 0, 3, 4, 5 and 6, and any mathematical signs, can you make an expression equal to 8?
Answer: 6 + 4 + 3 - 6 - 0
Step-by-step explanation: Add 6, 4, and 3 which gives you 13. Then subtract 5 which gives you 8, then to use all the numbers, subtract 0. There's probably other ways but this is a very simple way.
You’re baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is in each cupcake
Answer:
1/12=x/100
Step-by-step explanation:
1/2=x/100
1*100=100
100 dived by 12 =
8
Solve This −15y+7+17y=2y+70
Answer:
0 = 63
No Solution
Step-by-step:
-15y + 7 + 17y = 2y + 70
2y + 7 = 2y + 70
2y - 2y = 70 -7
0 = 63
Answer:
y=-61/2=-30 1/2=-30.5
Step-by-step explanation:
Add −15 and 7 to get −8.
−8+17=2y+70
Add −8 and 17 to get 9.
9=2y+70
Swap sides so that all variable terms are on the left hand side.
2y+70=9
Subtract 70 from both sides.
2y=9−70
Subtract 70 from 9 to get −61.
2y=−61
Divide both sides by 2.
y=-61/2
Fraction
−61/2 =−30.5 can be rewritten as − 61/2=−30.5 by extracting the negative sign.
y=-61/2=-30 1/2=-30.5
What is the prime factorization of 150?
2x3 x 5
2*3*52
22 x 3 x 5
2x32x5
Answer:
2*3*5^2
Step-by-step explanation:
What's the Unit Rate? please. :')
Answer:
The unit rate is 8.
Step-by-step explanation:
(5, 40) = 8
(10, 80) = 8
(15, 120) = 8
you can simply divide and find the unit rate.
The University of Oklahoma has a renowned radar research program within the School of Electrical and Computer Engineering. Say that there are two radar prototypes under development, A1 and A2, and the effectiveness of each is determined by their ability to spatially detect a particular object. A1 has a probability of 0.5 of detecting the object, and A2 has probability 0.3 of detecting the object. a. Find the probability that the object is detected. b. Find the probability that the object is detected by exactly one of the radar prototypes. c. Given that the object was detected by exactly one of the prototypes, find the probability that it was A1 that detected it.
Answer:
a) = 0.65
b) = 0.5
c) = 0.7
Step-by-step explanation:
a)
First, using either A1 detected the object or A2 detected it or both did, the probability that the object is detected can be determined by any of it
so
P( probability that object is detected) = (p1 * q2) + (p2 * q1) + (p1 * p2)
so we substitute
P( probability that object is detected = (0.5 * 0.7) + (0.3 * 0.5) + (0.5 * 0.3)
= 0.65
b)
probability that object is detected by exactly 1 of the radar prototypes.
P( object is detected by exactly one of the radar prototypes ) = (p1 * q2) + (p2*q1)
= (0.5*0.7) + (0.3*0.5)
= 0.5
c)
probability that A1 that detected it.
using the Bayes theorem,
P(detected by A1 / detected by exactly one of the prototypes) = (p1 * q2) / (p1 * q2 + p2*q1) = (0.5 * 0.7) / (0.5 * 0.7) + (0.3 * 0.5)
= 0.35 / 0.5
= 0.7
A chemical supply company guarantees the precision weighing of its products. They advertise that a certain product weighs 8 oz +/- 0.03 oz. What is the tolerance interval?
Answer:
ti like ya cut g
Step-by-step explanation:
What is mZPQR?
R
(x + 1)
(3x - 5)
S
o
Answer:f '(x) = 2(3x2 + 5) + 6x(2x - 1)
= 6x2 + 10 + 12x2 - 6x
= 18x2 - 6x + 10
Step-by-step explanation:
Henry wants to create a vegetable garden in his backyard against the back wall of his
house. He has 60 feet fence to protect the garden from the deer. What is the maximum
area of the garden he can create (in square feet)?
What is the new function’s equation (green)?
Answer:
[tex]f(x)=-(x+3)^2[/tex]
Step-by-step explanation:
The parent function is f(x) = x^2.
This can be reasoned by the fact that this is a postive parabola that is on the origin.The green function is moved 3 units to the left. This means that the function changes like this:
[tex]x^{2}[/tex] --> [tex](x+3)^2[/tex]The green function is also reflected over the x-axis.
Functions that are reflected over the x-axis take are multiplied by an exterior negative (literally, a negative on the outside)
Ex; f(x) flipped over x-axis= -f(x)So, we put a negative on the outside.
[tex](x+3)^2[/tex] --> [tex]-(x+3)^2[/tex]
The function isn't moved up or downwards, so we don't have to add or subtract anything on the outside.
The function is also not stretched or shrunk.
So, the equation of the green function is:
[tex]f(x)=-(x+3)^2[/tex]
Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
Answer:
the answer is - 0.5
Step-by-step explanation:
x+y+z=−4
2x+3y−2z=10
−x+2y−3z=−12
solve for x,y,z
WILL MARK BRAINLIEST!!!
Answer:
x = 13
y = -10
z = -7
Step-by-step explanation:
x+y+z=−4
2x+3y−2z=10
−x+2y−3z=−12
Add the first and the third equations to eliminate x
x+y+z=−4
−x+2y−3z=−12
--------------------
3y -2z = -16 Equation A
Add the second and twice the third equation to eliminate x
2x+3y−2z=10
−2x+4y−6z=−24
----------------------------
7y -8z = -14 Equation B
Take Equation A and multiply by -4
-4*( 3y -2z) = (-16)*-4
-12y + 8z = 64
Add this to Equation B
-12y + 8z = 64
7y -8z = -14
-----------------------
-5y = 50
Divide by -5
-5y/-5 = 50/-5
y = -10
Now using equation A
3y -2z = -16
3*-10 -2z = -16
-30 -2z = -16
Add 30 to each side
-2z = -16+30
-2z = 14
Divide by -2
-2z/-2 = 14/-2
z = -7
Now find x using the first equation
x+y+z = -4
x -7-10 = -4
x -17 = -4
Add 17 to each side
x-17+17 = -4+17
x = 13
1. The first year you obtain your Professional Engineer seal, you design and observe construction of small dams, each of which is in a different area of the country. Each of these dams is designed to pass the 200-year storm without overtopping, since they are relatively small and no loss of life or damage to property is likely if they do fail. After that first year, you never design another dam for the rest of your career since you move into management. a. What is the probability that the very first dam you designed will overtop during your anticipated 45-year career
Answer:
The probability that the very first dam you designed will overtop during your anticipated 45-year career is 0.7985.
Step-by-step explanation:
The question is related to the reliability function.
The reliability of the dam built follows an Exponential distribution with mean time between failure as 200 years.
Then the parameter of the exponential distribution will be:
[tex]\lambda=\frac{1}{200}=0.005[/tex]
The reliability function for the time in which the dam will overtop is given by:
[tex]R(t)=e^{-\lambda t}[/tex]
Compute the probability that the very first dam you designed will overtop during your anticipated 45-year career as follows:
[tex]R(t)=e^{-\lambda t}[/tex]
[tex]R(45)=e^{-0.005\times 45}[/tex]
[tex]=e^{-0.225}\\=0.7985[/tex]
Thus, the probability that the very first dam you designed will overtop during your anticipated 45-year career is 0.7985.
Most breeding birds in the northeast US migrate elsewhere during the winter. The number of bird species on an Ohio preserve oscillates between a high of 30 in June, and a low of 10 in December. Find a formula for the number of bird species B as a function of t months since January.
i) amplitude
ii) period
iii) Average value
iv) Horizontal shift
Answer:
The answer is below
Step-by-step explanation:
The function B can be represented by the function:
B = C + Acos(Pt)
a) From the graph of the function, it starts from 30, hence it is a cosine function.
The amplitude (A) = (highest value - lowest value) / 2 = (30 - 10) / 2 = 10
A = 10
b) The function completes an oscillation every 12 months, hence its period (P) = 12
c) The average value = 10/√2
d) The vertical shift (C) is the difference between the highest and lowest value.
Therefore, C = 30 - 10
C = 20
Which of these answers describes a conflict?
A hiker gets lost on a mountain during a snowstorm.
A hiker decides to try hiking a new trail.
A hiker takes her dog along on a camping trip.
A hiker tries out her new campi
Answer:
A
Step-by-step explanation:
8 × 1 + 5 × ( 1/100) + 9 ×( 1/1000) = 8.059?? did I do this correctly???
Answer:
Yes you did it correctly
Step-by-step explanation:
the answer is
[tex]8.059[/tex]
Answer:
Hello! :) i hope I’m correct!!
Step-by-step explanation:
Yes, you have done it correctly.
The answer should be 8.059 or 8059/1000
So, your absolutely correct!!
Hope this helps!
By: BrainlyAnime ^-^
