Step-by-step explanation:
See image:
Answer:
area: 66.6 in²volume: 28.8 in³Step-by-step explanation:
You want the surface area and volume of a cuboid with dimensions 6.4 in, 3 in, and 1.5 in.
FormulasThe formulas for surface area (A) and volume (V) for a cuboid with length L, width W, and height H are ...
A = 2(LW +H(L +W))
V = LWH
ValuesThe values of area and volume can be found by using the given dimensions in these formulas:
A = 2((6.4 in)(3 in) +(1.5 in)(6.4 in +3 in)) = 66.6 in²
V = (6.4 in)(3 in)(1.5 in) = 28.8 in³
The surface area and volume are 66.6 in² and 28.8 in³, respectively.
a certain insecticide kills 60% of all insects in laboratory experiments. a sample of 9 insects is exposed to the insecticide in a particular experiment. what is the probability that exactly one insect will die? round your answer to four decimal places.
The probability that exactly one insect will die is 142.611.
Define probability.The subject of a random event is covered in the mathematical field of probability. For instance, if a coin is flung into the air, it could land on its Head or Tail. Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) (S) E is the event, P is the probability, and S is the sample area.
Given,
P( an insect will die) = 0.60
q = 1 - p
q = 1 - 0.60
q = 0.40
Sample size,
n = 9
Binomial distribution:
P(X) = ⁿCₓ pˣ qⁿ⁻ˣ
Probability that exactly one insect will die = P(X = 1)
= ⁹C₁ × 0.6¹ × 0.4⁸
= 362880 × 0.6 × 0.000655
= 142.611
The probability that exactly one insect will die is 142.611.
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what are the answers?
Answer:
if you can please explain more of the context (what do they mean by turn around sentence) I'd be happy to help!
Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and finds 200 volunteers who play golf to participate in an experiment. Half of the golfers are randomly assigned to wear a bracelet with magnets, while the other half wear a bracelet without magnets. Each golfer plays normally for a month, after which the length of their shots in a subsequent round is recorded.
What is the response variable in this experiment?
a. the age of each golfer
b. the 200 volunteers
c. the length of shots played by the golfers
d. whether the golfers wear or do not wear the bracelet
Answer:
I believe it is (C), the length of the golfers.
The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and theyre trying to figure out if the lengths of shots are dependent on the bracelet.
Because of this, we know A and B are already wrong.
Now we're left with C and D.
If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.
Which is why I believe, the length of the shots is the response variable.
ED2021
Goodluck :)
it is (C), the length of the golfers.
What is response variable?A response variable is a type of dependent variable. It is the one that changes the results. Furthermore, a response variable is the expected effect, and it responds to explanatory variables.
Here, we have,
The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and they are trying to figure out if the lengths of shots are dependent on the bracelet.
Because of this, we know A and B are already wrong.
Now we're left with C and D.
If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.
This is why, the length of the shots is the response variable.
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Help pls help pls help pls help pls help pls
Answer:
Domain: -2 < x ≤ 3
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:
(-2, 3] or -2 < x ≤ 3
Answer:
ramen is the true answer to lifes problems
Step-by-step explanation:
Which graph represents the hyperbola = 1?
Answer:
yall not all of the answers for these ones are on here. go to symbolab and type in the hyperbola like x^2/a^2-y^2/b^2=1 and look at where it intersects the axis. it'll get you the right answer
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The third graph aka the one that looks most like an X. It's right because Edge said so.
Assuming its y^2/6^2 - x^2/2^2 = 1 I repeat the answer is the third graph. C.
A grocery store stocks 1-gallon cartons of skim milk, 1% milk, 2% milk and whole milk. A customer is asked to buy 10 gallons of milk. The customer needs to buy at least one carton of each type of milk. How many different ways can the kinds of milk to buy be selected? 120 210 286
84
The number of different ways in which kinds of milk to buy can be selected is 36.
To find the number of different ways the kinds of milk can be selected, we can use the combination formula.
Since the customer needs to buy at least one carton of each type of milk, we can first distribute one carton of each type, leaving us with 6 gallons to distribute among the 4 types.
We can use the stars-and-bars method for this problem, which involves placing "stars" for gallons and "bars" to separate the types of milk. For 6 gallons and 3 bars, we have a total of 9 objects.
The number of combinations is given by the formula: C(n+k-1, k-1), where n is the number of gallons left (6) and k is the number of bars (3).
C(9, 2) = 9! / (2! * (9-2)!)
= 9! / (2! * 7!)
= (9 * 8) / (2 * 1)
= 36
So there are 36 different ways the kinds of milk can be selected.
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What is the probability that a green
car will be chosen out of the
following collection? 12 red cars, 14 blue cars, 11 green
cars, and 20 yellow cars.
Express the answer as a reduced
fraction.
Answer:11/57
Step-by-step explanation:
Please help! i will give brainliest or whatever if you help :)
each of two persons tosses three gair coincs. what is the probability that they obtain the same numbre of heads
The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.
1/8
The probability of getting a head or a tail when flipping a coin is 1/2.
Therefore, the probability of getting two heads when tossing two coins is 1/2 x 1/2 = 1/4.
The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.
Since each person is tossing three coins, the probability that they both obtain the same number of heads is 1/8.
The probability of getting n heads when tossing n coins is 1/2^n. Therefore, the probability of getting the same number of heads when two people toss n coins is 1/2^n. This means that if two people each toss a coin, the probability that they both get heads is 1/4; if they each toss two coins, the probability that they both get two heads is 1/16; if they each toss three coins, the probability that they both get three heads is 1/64; and so on.
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Solve for x (giving double points)
Answer:
x=-8
Step-by-step explanation:
x+15+x+16=15
=) 2x+31=15
=)2x=15-31
=)2x=-16
=)\(\frac{2x}{2} =\frac{-16}{2} \) (The 2(s) in \(\frac{2x}{2}\) cancel out, leaving x= \(\frac{-16}{2}\), or x=-8
Hope this helps!
Solve the following equation. Then place the correct number in the box provided.
6(x - 1) = 4(x - 2)
Answer:
x = -1
Step-by-step explanation:
First we expand both sides :
Let's start with the right side:
6(x-1) = 6x-6
Now we do the left side:
4(x-2) = 4x-8
Now we add 6 to both sides:
(6x-6)+6 = (4x-8)+6
Simplify:
6x = 4x -2
Subtract 4x from both sides:
6x - 4x = (4x-2) - 4x
Simplify:
2x = -2
Divide both sides by 2:
2x÷2 = -2÷2
Simplify:
x = -1
I dont see a box so can't do the second part.
Hope this helps and brainliest please
Sam has ⅙ of a book left to read. He wants to finish the book by reading the same amount every day for 4 days. How much of the book will Sam need to read each day?
4 (1/16) = 4/16 = 1/4
(1/4) / 4 = 1/16 each day
Answer:
\(\frac{5}{24}\) of the book each day
\(83\frac{1}{3}\) % of the book each day
Step-by-step explanation:
1 - ⅙
⅚
⅚ ÷ 4
\(\frac{5}{24}\)
Simplify
4x + 2y + x2 - x + 3 - x2 - 5
A. 3x2 + 5y - 8
B. 2x2 - 3x + 2y - 2
C. -5x + 2y - 2
D. 4x2 - 2y + 5x + 8 help help help pls help
Answer:
b
Step-by-step explanation:
u just have to think about it
The length of the base of a parallelogram is 14 meters. The parallelogram has an area of 308 square meters.
What is the height of the parallelogram?
Answer:
22 m
Step-by-step explanation:
A = bh
308 m² = 14 m × h
h = (308 m²)/(14 m)
h = 22 m
Answer: 22 m
if the patient must receive 0.190 millicuries of na-24 per kilogram of body weight, how many millicuries should be given to a patient who weighs 55.2 kilograms?
If the patient must receive 0.190 millicuries of Na-24 per kilogram of body weight, 10.4928 millicuries of Na-24 should be given to a patient who weighs 55.2 kilograms.
To calculate the number of millicuries that should be given to a patient, you have to multiply the dose per kilogram of body weight by the patient's body weight in kilograms.
Here is the formula:
Millicuries to be given = dose per kilogram of body weight × body weight in kilograms
So, if the patient must receive 0.190 millicuries of Na-24 per kilogram of body weight, 10.4928 millicuries should be given to a patient who weighs 55.2 kilograms.
That is,0.190 millicuries /kg × 55.2 kg = 10.4928 millicuries
Therefore, 10.4928 millicuries of Na-24 should be given to a patient who weighs 55.2 kilograms.
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There are 60 players on a football team. 2/3 of the players are offensive team players 1/12 of the players are special team players The reaming players are defensive players. Each team member is either an offensive, defensive, or special team player. The number of defensive players is -
Answer:
15
Step-by-step explanation:
2/3 x 60 = 40
1/12 x 60 = 5
60 - 40 - 5 = 15
Sketch the following and then find the sum of the vertex
angles.
a. A hexagon
b. An octagon
c. A dodecagon.
To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.
a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.
b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.
c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.
Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.
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Find the sum of the vertex angles of the following polygons---
a. A hexagon
b. An octagon
c. A dodecagon.
i need help ASAP and just answer
Answer:
LOM= 66 and MON= 24
Step-by-step explanation:
I think
Answer:
<LOM=66,<MON=24
Step-by-step explanation:
(2x+46)+(3x-6)=90
2x+3x+46-6=90
5x+40=90
5x=90
x=10
2x+46=2*10+46=66
Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars
in tips.
Answer: 3h + 0.9s
Step-by-step explanation:
90% is the same as 0.9 of..
7 in
9 in
5 in
what is the volume
Answer:
157.5
Step-by-step explanation:
What does the absolute value measure?
Answer:
Mag, real num, complex num, vector
Step-by-step explanation:
Absolute values measures magnitude of a real number, complex number, or vector. All numbers in the absolute value become positive :)
Plz mark brainliest
Answer:
absolute value measure of the magnitude of a real number complex number or vector
Tell whether the system has one solution, infinitely many solutions, or no solution. (1 point) x=-71+34 x+71=32 O One solution O Infinitelv man solutions - No solution
The type of solution set in the system of equation is no solution
How to determine the type of solution set in the equation?From the question, we have the following parameters that can be used in our computation:
x=-71+34 x+71=32
This equation can be properly expressed as
x = -71y + 34
x + 71y = 32
Make x the subject in the second equation
x = -71y + 32
Substitute x = -71y + 32 in x = -71y + 34
-71y + 32 = -71y + 34
An equation that has no solution is represented as:
ay + b = ay + c
The above means that the variable term of both sides of the equations are the same, while the constant terms are different
The equation -71y + 32 = -71y + 34 conform to the statement above
Hence, the equation has no solution
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complete the function table if h(x)=2x-3
Answer:
x = -2: -7
x = 0: -3
x = 1: -1
x = 2: 1
x = 5: 7
Step-by-step explanation:
To complete the table, we plug in the values in the x column for x in 2x - 3 and simplify:
Plugging in -2 for x:
2(-2) - 3 = -4 - 3 = -7
Plugging in 0 for x:
2(0) - 3 = 0 - 3 = -3
Plugging in 1 for x:
2(1) - 3 = 2 - 3 = -1
Plugging in 2 for x:
2(2) - 3 = 4 - 3 = 1
Plugging in 5 for x:
2(5) - 3 = 10 - 3 = 7
how many functions are there from a set with 4 elements to a set with 8 elements?
There are 4096 functions from a set with 4 elements to a set with 8 elements.
To find the number of functions from one set to another, we use the formula:
Number of functions = (Number of elements in the codomain)Number of elements in the domain
In this case, the domain is the set with 4 elements and the codomain is the set with 8 elements. Plugging in these values into the formula, we get:
Number of functions = 84
Number of functions = 4096
Therefore, there are 4096 functions from a set with 4 elements to a set with 8 elements.
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PLEASE HELP ASAP
The graph of which function has an axis of symmetry at x = one-quarter?
A: f(x) = 2x2 + x – 1
B: f(x) = 2x2 – x + 1
C: f(x) = x2 + 2x – 1
D: f(x) = x2 – 2x + 1
Answer:
its A) f(x)= 2\(x^{2}\)+x-1
Step-by-step explanation:
Answer: A sounds correct
Step-by-step explanation:
explain what each term in this model means and why it has the algebraic form (for example, sp2) that it does.
The s-orbital is spherical in shape, while the p-orbitals are composed of two lobes that are directed at an angle of 120 degrees apart.
It is composed of three atomic orbitals: one s-orbital and two p-orbitals. The s-orbital is spherical in shape, while the p-orbitals are composed of two lobes that are directed at an angle of 120 degrees apart. The combination of these three orbitals forms a hybrid orbital that is shaped like a flat trigonal planar, with a bond angle of 120 degrees. This hybrid orbital is known as the sp2 hybrid orbital.
The "s" in sp2 stands for the s-orbital, which is a single, spherical orbital. The "p" represents the two p-orbitals, which have two lobes and form an angle of 120 degrees with each other. The "2" in sp2 indicates that two p-orbitals are involved in the hybridization process. The hybridization of the s and two p-orbitals creates the sp2 hybrid orbital, which is trigonal planar in shape.
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Estimate the answers after rounding to the indicated place value
748-154 (tens)
a:610
b:600
c:500
d:590
e:900
The value of the expression after rounding to the nearest tens is 600
How to estimate the expression?The expression is given as:
748 - 154
When rounded to the nearest tens, we have:
750 - 150
Evaluate the difference
600
Hence, the value of the expression after rounding to the nearest tens is 600
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3. In the figure, BE bisects CBD. If CBE = (3x – 7)
and CBD = 94°, find the value of x.
Answer:
18 = x
Step-by-step explanation:
BE bisects CBD so that means
1/2 CBD = CBE
1/2 (94) = 3x-7
47 = 3x-7
Add 7 to each side
47+7 = 3x-7+7
54 = 3x
Divide by 3
54/3 = 3x/3
18 = x
10
25°
Х
find value of
triangles
Answer:
x = 21.4
Step-by-step explanation:
Reference angle (θ) = 25°
Opposite = 10
Adjacent = x
Apply trigonometric function, TOA:
Tan θ = Opp/Adj
Tan 25 = 10/x
x*Tan 25 = 10
x = 10/Tan 25
x = 21.4450692 ≈ 21.4 (nearest tenth)
2.4,1.6,3.2,0.3,1.5 each piece of data is increased by 10 calculate the new mean
Answer:
The new mean is: 11.8
Step-by-step explanation:
Given the data set
2.4 1.6 3.2 0.3 1.5
Sum of terms = 2.4 + 1.6 + 3.2 + 0.3 + 1.5 = 9
Number of terms = 5
We know that the mean of a data set is the sum of the terms divided by the total number of terms, so
Mean = Sum of terms / Number of terms
substituting Sum of terms = 9 and Number of terms = 5
= 9/5
= 1.8
Thus, the Mean = 1.8
We need to determine the mean when each piece of data is increased by 10.
All we need is to add 10 in the determined mean to determine the new mean.
New Mean = Mean + 10
= 1.8 + 10
= 11.8
Therefore, the new mean is: 11.8
VERIFICATION:
When each piece of data is increased by 10
\(2.4+10+1.6+10+3.2+10+0.3+10+1.5+10=59\)
so,
\(\frac{59}{5}=11.8\)