Answer:
a) 0.68
b) 0.08
c) 0.74
Step-by-step explanation:
Given that:
Probability of hitting bulls eye, P(B) = 0.26
Probability of an inner, P(I) = 0.42
Probability of an outer, P(O) = 0.24
a) Probability of hitting an inner or better (inner or bulls eye):
P(I or B) = P(I [tex]\cup[/tex] B)
Formula for P(P [tex]\cup[/tex] Q) where P(P) and P(Q) are the probabilities of two mutually exclusive events i.e. having nothing in common:
P(P [tex]\cup[/tex] Q) = P(P) + P(Q)
P(I [tex]\cup[/tex] B) = P(I) + P(B) = 0.26 + 0.42 = 0.68
b) Probability of failing to hit the target:
P(F) = 1 - (P(B)+P(I)+P(O))
P(F) = 1 - (0.26 + 0.42 + 0.24)) = 1 - 0.92 = 0.08
c) Probability of failing to score a bulls eye:
P(B)' = 1 - P(B) = 1 - 0.26 = 0.74
So, the answers are:
a) 0.68
b) 0.08
c) 0.74
Convert 28 ounces to pounds. Express your answer in simplest form. a. 2 1/4 pounds b. 1 12/16 pounds c. 1 4/7 pounds d. 1 3/4 pounds
Answer:
1.75 pounds
Step-by-step explanation:
28 divided by 16 = 1.75!
Hope it helps!
Answer:
1.75 pounds or 1 3/4 pounds
Step-by-step explanation:
28/16 = 1.75
April has only consumed one glass of wine, so her body isn't affected by the alcohol because short-term effects only begin with the second drink. Please select the best answer from the choices provided. T F
ANSWER: False
This is false because alcohol can have effect as soon as the first drink, depending on the type of person you are.
For example, if your parents drank, and you were born early (a preemie) this can affect your ability to drink.
Hope this helps! ^^
Answer:
False
Step-by-step explanation:
Loooook above
I WILL MARK YOU BRAINLIEST!!!!
14. Suppose that 1 out of every 10,000 doctors in a certain region is infected with the SARS virus; in the same region, 20 out of every 100 people in a particular at-risk population also are infected with the virus. A test for the virus gives a positive result in 99% of those who are infected and in 1% of those who are not infected. A randomly selected doctor and a randomly selected person in the at-risk population in this region both test positive for the disease. Who is more likely to actually have the disease?
Answer:
The person in the at-risk population is much more likely to actually have the disease
Step-by-step explanation:
The probability of a randomly selected doctor having the disease is 1 in 1,000 (P(I)=0.0001).
The probability that a doctor is infected with SARS, given that they tested positive is:
[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.0001*0.99}{0.0001*0.99+(1-0.0001)*0.01}\\P(I|+)=9.9*10^{-3}[/tex]
The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).
The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:
[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.2*0.99}{0.2*0.99+(1-0.2)*0.01}\\P(I|+)=0.962[/tex]
Therefore, the person in the at-risk population is much more likely to actually have the disease
There are 4 red marbles and 3 blue marbles in a bag. Once a marble is drawn it is not replaced. Find the probability of drawing two red marbles in a row.
Answer:
2/7
Step-by-step explanation:
4 red marbles and 3 blue marbles in a bag = 7 marbles
P(red) = red/total = 4/7
No replacement
3 red marbles and 3 blue marbles in a bag = 6 marbles
P(red) = red/total = 3/6 = 1/2
P(red, no replacement, red) = 4/7 * 1/2 = 2/7
Reflect shape A in the line x=-1
Coordinates for the shape:
(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4)
Answer in in Image.
Reflection of shape:
Reflection is a type of transformation. To reflect an object, you need a mirror line. When a shape is reflected, its size does not change - the image just appears 'flipped'. Every point on the shape is the same distance away on the other side of the mirror line.
Here, After reflection, the reflected shape coordinates are:
(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4).
Learn more about reflection of diagrams here:
https://brainly.com/question/12757305?referrer=searchResults
#SPJ2
Calvin evaluated Negative two-thirds times 5 and one-sixth using the steps below. Step 1: Negative two-thirds time (5 + one-sixth) Step 2: (Negative two-thirds + 5) times (Negative two-thirds + one-sixth) Step 3: 4 and one-third times negative one-half Step 4: Negative 2 and one-sixth Which describes Calvin’s error? In step 1, he incorrectly broke up 5 and one-sixth. In step 2, he distributed the Negative two-thirds instead of the 5. In step 2, he confused the multiplication and addition signs. In step 3, he computed the addition and multiplication incorrectly.
Answer:
In step 2, he confused the multiplication and addition signs
Step-by-step explanation:
Answer:
In step 2, he confused the multiplication and addition signs.
Step-by-step explanation:
Factor completely 9x2 + 42x + 49
Answer:
(3x + 7)²
Step-by-step explanation:
You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.
Answer: (3x + 7)^2
Step-by-step explanation:
9x^2 + 42x + 49
3^2x^2 + 2 * 3x * 7 + 7^2
3x^2 + 2 * 3x * 7 + 7^2
(3x + 7)^2
David and Eric went out to dinner. Their total bill was $45. They added 20% gratuity to the bill. If they split the bill in half, how much did each person spend?
1) Write an equation/expression for the word problem.
2) How much did each person spend?
Answer:
1)(45x 1.2) /2
2) $27 each
Step-by-step explanation:
Hi, to answer this question we have to multiply the initial bill amount by the gratuity percentage in decimal form (divided by 100)
45 x (20/100) = 45 x 0.2= $9
Now, we have to add the tip amount (9) to the initial bill amount
45+9= $54 (total bill amount with tip)
(We could obtain the same result if we multiply the initial bill amount by 1.2)
Finally, we have to divide the final bill amount by 2:
54/2 = $27 each
1) (45x 1.2) /2
2) $27 each
Feel free to ask for more if needed or if you did not understand something.
(07.06 MC) What is the solution to the equation 1.2m − 0.8 = −2.0m? m = 0.25 m = 0.4 m = 1 m = 4
Answer:
m = 0.25
Step-by-step explanation:
-0.8 = -3.2m
m = 0.25
Answer:
0.25 :)
Step-by-step explanation:
The mapping of DEFG to D'E'F'G' is shown. 2 parallelograms have identical side lengths and angle measures. The second parallelogram is a reflection of the first. Which statements are true regarding the transformation? Check all that apply. EF corresponds to E'F'. FG corresponds to G'D'. ∠EDG Is-congruent-to ∠E'D'G' ∠DEF Is-congruent-to ∠D'E'F' The transformation is not isometric. The transformation is a rigid transformation.
Answer:
(A)EF corresponds to E'F'
(C)∠EDG Is-congruent-to ∠E'D'G'
(D)∠DEF Is-congruent-to ∠D'E'F'
(F)The transformation is a rigid transformation.
Step-by-step explanation:
Given:
Parallelogram DEFG is mapped to D'E'F'G'DEFG and D'E'F'G' have identical side lengths and angle measures.The following applies:
EF corresponds to E'F'∠EDG Is-congruent-to ∠E'D'G'∠DEF Is-congruent-to ∠D'E'F'Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:
The transformation is a rigid transformation.Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.
FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'
Answer:
1346
Step-by-step explanation:
Given that 5 x − 3 y = 32 Find y when x = 4
Answer:
y=-4Solution,
X=4
Now,
[tex]5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
y = 16/3 or 5.333333...
Step-by-step explanation:
5x - 3y = 4
→ Substitute the value of x = 4 into the expression
(5 × 4) - 3y = 4 ⇔ 20 - 3y = 4
20 - 3y = 4
→ Minus 20 from both sides to isolate -3y
-3y = -16
→ Divide both sides by 3 to isolate y
y = 16/3 or 5.333333...
Um comerciante comprou uma caixa de um determinado produto, teve um custo fixo com transporte de
R$ 200,00. Venderá cada unidade por R$ 25,00, o lucro final será dado em função das x unidades vendidas. Sabendo que Lucro = venda - custo Responda:
a) Qual é a lei dessa função f?
b) Se o comerciante vender 1 unidade desse produto terá lucro ou prejuízo? c) Se o comerciante vender 10 unidades desse produto terá lucro ou prejuízo?
d) Se o comerciante vender 25 unidades desse produto terá lucro ou prejuízo?
A resposta é B, Não há de quê
2x-6+17=9
Explain the answer and why plz
Answer: x = -1
Step-by-step explanation:
2x - 6 + 17 = 9
Subtract 17 from both sides
2x - 6 = -8
Add 6 to both sides
2x = -2
Divide by 2 on each side
x = -1
BC = -2x+85 BD = 5x-48 What is the length of BC?
Answer:
-2x + 85 = 5x - 48
85 = 7x - 48
7x = 133
x = 19
BC = -2(19) + 85
BC = -38 + 85
therefore, BC = 47
Step-by-step explanation:
Solve - 2/3 x > 8 or - 2/3 x < 4.
Answer:
Brainliest? I solved both!
Step-by-step explanation:
Please help me!!!!!!!!! thanks!
Answer:
4.19 units^3
Step-by-step explanation:
The volume formula for spheres is [tex]V = \frac{4}{3} r^3[/tex]
If you plug in the radius which is 1 in this problem you'll get the volume of the sphere.
Answer: 4.19 cu. units
Step-by-step explanation:
Volume of a sphere = 4/3πr^3
= 4/3 x 3.14 x 1^3
= 4/3 x 3.14 x 1
= 4.19 cu. units
Find the area of the circle.
Use 3.14 for pi
Answer:
A =153.86 cm^2
Step-by-step explanation:
The diameter is 14 so the radius is d/2 = 14/2 = 7
A = pi r^2
A = (3.14) (7)^2
A =153.86 cm^2
Answer:
Step-by-step explanation:
First you take the diameter and cut it in half to find the radius. 14/2 = 7
Next you times the radius to the power of 2. 7^2= 49
Then you times your answer by 3.14. 49*3.14 = 153.86
153.86cm² is your answer
Zara travelled in a train moving at an average speed of 120km/h and covered a distance of 40km towards East. 1. Calculate the time taken by the train to cover this distance.
Answer:
0.33 hours or 20 minutes
Step-by-step explanation:
Speed is given as distance divided by time.
That is:
s = d / t
Therefore, time will be:
t = d / s
The train traveled a distance of 40 km at 120 km/h. Therefore, the time taken will be:
t = 40/120 = 0.33 hours or 20 minutes
Write 18-2 square root of -9 in the form of a+bi
Answer:
[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]
Step-by-step explanation:
PLZ ANSWER ASAP 20 POINTSTriangle ABC has AB=18, AC=24, BC=27. Point M is the midpoint of AC, and point N is on segment AB so that BN=2. What is the length of MN? PLZ ANSWER ASAP PLZ 20 POINTS
Answer:
Step-by-step explanation:
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6? −7 −3 4 6
Answer:
-3
Step-by-step explanation:
Variables are letters which are used to represent particular unknown quantities in equations.
Now the variable in this question is x.
When we talk about coefficient , we mean the number before the variable in question.
We can see that the variable is written as -3x
-3 is the value before the variable so we can agree that -3 is its coefficient
Answer:
its -3, i took the test
Have a great day!!
Step-by-step explanation:
Decode the addition or subtraction problem (Change asterisks to digits, to make the operations correct.) 6*5* − *8*4=2856
Answer:
[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
Step-by-step explanation:
[tex]\left\begin{array}{ccccc}&6&*&5&*\\-&*&8&*&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
10-4=6Therefore the last digit of 6*5* is 0.
[(5-1)+10]-5=98+8+1=176-(1+2)=3Therefore:
[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
Which of the following are like radicals? Check all of the boxes that apply.
Answer:
3x√x²y, –12x√x²y, x√yx², 2√x²y.
Step-by-step explanation:
Data obtained from the question include:
3x√x²y, –12x√x²y, –2x√xy², x√yx²,
–x√x²y², 2√x²y
Like radical in this case talks about those havin the same entity in the square root.
With a careful consideration of the data obtained from the question, the like radicals are:
3x√x²y, –12x√x²y, x√yx², 2√x²y.
Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are [tex]3x\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex] and [tex]2\sqrt{x^2y}[/tex].
Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are:
A) [tex]3x\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
B) [tex]-12\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
C) [tex]-2x\sqrt{xy^2}[/tex]
This is not the like radical with the entity [tex]xy^2[/tex] inside the square root.
D) [tex]-12\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
E) [tex]-x\sqrt{x^2y^2}[/tex]
This is not the like radical with the entity [tex]x^2y^2[/tex] inside the square root.
F) [tex]2\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
So, the correct options are A), B), D), and F).
For more information, refer to the link given below:
https://brainly.com/question/16181471
7/5 x -3/12 + 7/6 + 7/5 x 1/4
Answer:
7/6 or 1.166666667
Step-by-step explanation:
I solved it on calculator
To 1 d.p 1.2
Answer:
7/6
Step-by-step explanation:
7/5 × -3/12 + 7/6 + 7/5 × 1/4
Multiply first.
-21/60 + 7/6 + 7/20
Find the common LCM of the fractions.
-21/60 + 70/60 + 21/60
Add the fractions.
(-21+70+21)/60
-21 and 21 cancels.
70/60
Simplify.
7/6
Organisms A and B start out with the same population size.
Organism A's population doubles every day. After 6 days, the
population stops growing and a virus cuts it in half every day for 4
days.
Organism B's population grows at the same rate but is not infected
with the virus. After 10 days, how much larger is organism B's
population than organism A's population?
Answer:
At the end of ten days, the size of population B is 256 times that of population A
Step-by-step explanation:
We work under the premise that population A and B start both with the same number of individuals. Let's call such initial population [tex]N_0[/tex]
Now, we write the exponential expression that describes population A as a function of days (t) for the first 6 days:
[tex]N_A=N_0\,(2)^t[/tex]
which represents the starting point with [tex]N_0[/tex] individuals on day zero, doubling after one day (t= 1), and keeping on doubling the following days for 6 days.
So at the end of 6 days, population A would have the following number of individuals:
[tex]N_A=N_0\,(2)^6\\N_A=N_0\,(64)\\N_A=64\,N_0[/tex]
That is 64 times the starting number of individuals.
After this, the population stops growing and starts reducing to one-half each day. This behavior can be represented by:
[tex]N_A=64\,N_0\,(\frac{1}{2} )^t[/tex]
therefore after 4 days in this pattern, this culture has the following number of organisms:
[tex]N_A=64\,N_0\,(\frac{1}{2} )^4\\N_A=64\,N_0\,(\frac{1}{16} )\\N_A=4\,N_0[/tex]
which is now just four times what the culture started with.
Now, on the other hand, population B grows doubling each day without interruption, so at the end of 10 days its size is given by:
[tex]N_B=N_0\,(2)^t\\N_B=N_0\,(2)^10\\N_B=N_0\1024\\N_B=1024\,N_0[/tex]
that is it has 1024 times the initial number of organisms.
So if we compare both populations at day 10:
[tex]\frac{N_B}{N_A} =\frac{1024\/N_0}{4\,N_0} =256[/tex]
Therefore, at the end of ten days, population B is 256 times the size of population A
Answer:
After 10 days, population B has grown to be 256 times the size of population A.
Step-by-step explanation:
find the vertex of this function and decide if it is a maximum or a minimum point.
Answer: maximum point at (-3, 2)
Step-by-step explanation:
The vertex is either the highest or lowest point in the graph. You can see on that graph that the vertex is (-3, 2) because it the x-value -3 points from 0, and the y-value is 2 points from 0. You can also see that the vertex is the highest point on the graph because no points are above it, so it is the maximum value.
PLEASE HELP me ! I NEED HELP
Answer:
Step-by-step explanation:
Let x = the number of 50-cent increases in the cost of a book rental.
Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:
$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.
The number of rentals is:
38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.
(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:
-2x² + 7x + 114
Maths Question:
The vase has a radius of 5cm,
There are 1000cm cubed of water in the vase,
Work out the depth of the water in the vase.
Give your answer to 1 decimal place.
Answer:
The depth is 12.7 cmStep-by-step explanation:
Let the shape of the vase be a cylindrical shape
the volume of the cylinder is given as
let the depth be h
[tex]v= \pi r^2h[/tex]
Given
radius r= 5 cm
volume v= 1000 cm
height h= ?
Substituting the values we can find the depth(h)
[tex]1000= 3.142*5^2*h\\1000= 3.142*25*h\\\\1000= 78.55*h\\[/tex]
Dividing both sides by 78.55 we have
[tex]h= \frac{1000}{78.55} \\\h= 12.73[/tex]
to 1 dp h= 12.7 cm
Some red, white, and blue candies were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl. According to the table below, if the candy is blue,
what is the probability that it does not contain any nuts?
Answer:
20%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation: