Answer:
A) 0.5000; B) 0.9772; C) 0.9772; D) 0.8185; E) 0.9932; F) 1.0000
Step-by-step explanation:
For each of these, we will use a z score. The formula for a z score is:
[tex]x=\frac{X-\mu}{\sigma}[/tex]
A) Our X is 5, our mean is 5 and our standard deviation is 0.2:
z = (5-5)/(0.2) = 0/0.2 = 0
Using a z table, the value to the left of this, less than, is 0.5000; this means the area to the right of this, greater than, is 1-0.5000 = 0.5000.
B) Our X is 5.4, the mean is 5 and the standard deviation is 0.2:
z = (5.4-5)/0.2 = 0.4/0.2 = 2
Using a z table, the value to the left of this, less than, is 0.9772.
C) The probability for this will be the same as for B; there is no distinction between "less than" and "less than or equal to" in z tables.
D) We find the z score for each of the endpoints of this interval, find the probabilities and subtract them:
z = (4.6-5)/0.2 = -0.4/0.2 = -2; the probability is 0.0228.
z = (5.2-5)/0.2 = 0.2/0.2 = 1; the probability is 0.8413.
The area between them is 0.8413-0.0228 = 0.8185.
E) X is 4.5, the mean is 5 and the standard deviation is 0.2:
z = (4.5-5)/0.2 = -0.5/0.2 = -2.5; the probability less than this is 0.0062. This means the probability greater than this is 1-0.0062 = 0.9938.
F) X is 4, the mean is 5 and the standard deviation is 0.2:
z = (4-5)/0.2 = -1/0.2 = -5. Everything in the z table is larger than this, so the probability is 1.000.
Which of the following is not an inequality?
A.) p ≥ 5
B.) m > 16
C.) 3y = 15
D.) k < 9
C.) 3y=15 is not an inequality.
An inequality compares the magnitude of two numbers (greater than, less than, etc.). Choice C uses an equals sign.
Hope this helps!!
(10CQ) Find the length of c
Answer:
The length of c = 18.7 units ⇒ answer (d)
Step-by-step explanation:
In triangle ABC:
∵ measure of angle B = 17° 55'
∵ measure of angle C = 98° 15'
∵ The sum of measures of the interior angles of a triangle is 180°
∴ The measure of angle A = 180 - (17° 55' + 98° 15') = 63° 50'
∵ The length of a = 17 units
* To find the length of c use the sin Rule
- a/sin(A) = b/sin(B) = c/sin(C)
- a is the side opposite to angle A, b is the side opposite
to angle B and c is the side opposite to angle C
∴ 17/sin(63° 50') = c/sin(98° 15')
* By using cross-multiplication
∴ c = (17 × sin(98° 15')) ÷ sin(63° 50')
∴ c = 18.7 units
∴ The length of c = 18.7 units ⇒ answer (d)
Select the favorable outcomes for rolling a five on the first roll.
Please help.
A 1/6% chance because there are six sides and 5 is one of them
Answer:
(1-6) (2-5) (3-4) (4-3) (5-2) (6-1)
Step-by-step explanation:
I was just doing this lesson
I will give brainliest to whoever is right and provides an explanation
Answer:
1024π
Step-by-step explanation:
The formula for the surface area of a sphere is 4πr².
Since the radius is 16 cm, the surface area is:
SA = 4×π×16²= 1024π.
A=4πr^2
A = 4π(16)^2
A = 3216.99
which is the same as 1024π cm^2
An engineering professor acquires a new computer once every 2 years. the professor can choose from three models: m1, m1, and m3. if the present model is m1, the next model can be m2 with probability .2, or m3 with probability .15. if the present model is m2, the probabilities of switching to m1 and m3 are .6 and .25, respectively. and, if the present model is m3, then the probabilities of purchasing m1 and m2 are .5 and .1, respectively. represent the situation as a markov chain.
Final answer:
The engineering professor's choice of new computer models over time can be modeled using a Markov chain, with specific transition probabilities for moving between models M1, M2, and M3. These probabilities are used to construct a transition matrix that allows us to analyze the selection pattern.
Explanation:
The scenario described can be represented as a Markov chain, which is a mathematical system that undergoes transitions from one state to another, with probabilities that are dependent on the current state only. Here, we have three models, M1, M2, and M3, which represent the states of the Markov chain. The transition probabilities define how likely it is to move from one state to another.
To construct this Markov chain, we set up a probability matrix P where the rows represent the current state, and the columns represent the next state. For the given model:
If the current model is M1, we have transition probabilities of 0.2 to M2 and 0.15 to M3.
If the current model is M2, we have transition probabilities of 0.6 to M1 and 0.25 to M3.
If the current model is M3, we have transition probabilities of 0.5 to M1 and 0.1 to M2.
Since the probabilities must add up to 1, the probability of remaining in the same state is 1 minus the sum of transition probabilities to other states. With these probabilities, we can fill in the transition matrix P:
P(M2|M1) = 0.2, P(M3|M1) = 0.15, P(M1|M1) = 0.65.
P(M1|M2) = 0.6, P(M3|M2) = 0.25, P(M2|M2) = 0.15.
P(M1|M3) = 0.5, P(M2|M3) = 0.1, P(M3|M3) = 0.4.
By using this transition matrix, we can analyze the professor's behavior in selecting new computer models over time.
The length of a rectangle is 3 m longer than its width.
The area of the rectangle is 154 m².
What is the width of the rectangle?
Enter your answer in the box.
Answer:
The width is 51.333
Step-by-step explanation:
l * w = area of rectangle
3 * w = 154
w= 154/3
w=51.333
Answer:
11
Step-by-step explanation:
It right
Which of the following is the general solution of the differential equation dy/dx equals the quotient of 8 times x / y ?
A.)y^2 = x^2 + C
B.)x^2 - y^2 = C
C.)x^2 = 4x^2 + C
D.)y^2 = 8x^2 + C
I believe the answer is D
The general solution of the differential equation [tex]\frac{dy}{dx} = \frac{8x}{y}[/tex] using variable separable method is [tex]y^{2}= 8 x^{2} +C[/tex].
What is variable separable method?If it is possible to write a differential equation by the transportation of terms, in the form f(x) dx = g(y) dy where f(x) is the function of x and g(y) is the function of y, then we say that variables are separable.
The solution is given by:
[tex]\int\ {f(x)} \, dx = \int\ {g(y)} \, dy + c[/tex]
where c is the arbitrary constant.
[tex]\frac{dy}{dx} = \frac{8x}{y} \\\\y\, dy = 8x \,dx\\\\\int\ {y} \, dy = \int\ {8x} \, dx\\\\\frac{y^{2} }{2} = \frac{8x^{2} }{2} + C \\\\y^{2}= 8 x^{2} +C[/tex]
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PLEASE HELP ME ASAAP 1 ANSWER EQUALS ONE SAVE FROM MY MOM WHOPPING MY A 2/4 + 4/6
Answer:
5/6 I think
Step-by-step explanation:
Add 2/4 + 2/6 =
2*3/4*3 + 2*2/6*2 =
6/12 + 4/12 =
6+4/12 =
10/12 =
5/6
[tex] \frac{5}{6} \\ hope \: it \: helps \: \\ :)[/tex]
Which of the tables would show inverse variation?
Answer:
C
Step-by-step explanation:
An inverse variation is where the product of inputs and outputs is constant. This means x*y is always the same number.
A is not a solution since it has 3*-4 = -12 and -2*4 = -8. It's not the same.
B is not a solution since it has 2*8 = 16 and 3*12 = 36. It's not the same.
C is a solution since 12*4 = 48 and 8*6 = 48 and 4*12 = 48 and 3*16 = 48. It's the same.
D is not a solution since it has 1*6 = 6 and 2*4 = 8. It's not the same.
Given that line EH is a median of triangle EFG find FG
Answer:
12.2
Step-by-step explanation:
We can say that FG = FH + HG
Since EH is the median, FH and HG is equal. Thus we can find x.
[tex]FH=HG\\6x-1.1=4x+1.3\\6x-4x=1.3+1.1\\2x=2.4\\x=\frac{2.4}{2}\\x=1.2[/tex]
Now we can find FH = 6x - 1.1 = 6(1.2) - 1.1 = 6.1, and
HG = 4x + 1.3 = 4(1.2) + 1.3 = 6.1
Hence, FG = 6.1 + 6.1 = 12.2
Eric practice piano and guitar for 8 hrs. He practiced piano for 1 fourth of 8 hrs. How many hours did Eric practice the piano this week?
➷ Multiply the total value by 1/4:
1/4 x 8 = 2
He practiced it for 2 hours.
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
2 hours.
Step-by-step explanation:
The time he practiced the piano = 1/4 * 8 = 2 hours.
WILL GIVE BRAINLYEST
The Problem:
Ms. Chen is planning to take her camp group on a field trip to Pottery Bayou where each person will create her own piece of art pottery. The regular cost is $32 per person. There is a group special that costs $20 per person with an additional $84 fee for a private room. Ms. Chen is trying to decide if she should use the regular price or the group special.
Write an equation to show the total cost of the regular price with x people (8 points)
Write an equation to show the total cost of the group special with x people (8 points)
1) regular cost for one person is: 32 ×1 = $32
for X people it would be 32X as you should times by the number of people.
= 32x
2)1 person is (20×1) + 84
20 + 84 = $104
for X people it would be 20x + 84
= 20x + 84
HELP
What is the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x) ?
A)1/3
B)1/2
C)2
D)13
Answer:
[tex]\large\boxed{C)\ 2}[/tex]
Step-by-step explanation:
[tex]2.5(6x-4)=10+4(1.5+0.5x)\qquad\text{use the distributive property}\\\\(2.5)(6x)+(2.5)(-4)=10+(4)(1.5)+(4)(0.5x)\\\\15x-10=10+6+2x\qquad\text{subtract 2x from both sides}\\\\13x-10=16\qquad\text{add 10 to both sides}\\\\13x=26\qquad\text{divide both sides by 13}\\\\x=2[/tex]
Answer:
C)2
Step-by-step explanation:
Trust me here boyzz
you put $634 into an investment at 6% compounded annually for six years. what will be the balance be at the end of six years?
Final answer:
The balance at the end of six years will be approximately $899.48.
Explanation:
To calculate the balance at the end of six years, we can use the formula for compound interest:
[tex]A = P(1 + r/n)^(nt)[/tex]
where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
Plugging in the values, we have:
[tex]A = 634(1 + 0.06/1)^(1*6)[/tex]
[tex]= 634(1.06)^6[/tex]
= 634(1.418519)
= $899.48
What is the slant height x of the square pyramid?
Express your answer in radical form.
Answer:
x = [tex] 4 \sqrt { 3 } [/tex]
Step-by-step explanation:
We are given a diagram of a pyramid with a right angled triangle which has [tex]30[/tex]°, [tex]60[/tex]° and [tex]90[/tex]° angles an the hypotenuse is [tex]8cm[/tex].
Since we have a right angled triangle, we can apply sin here:
We know that [tex]sin 60 = \frac{\sqrt{3} }{2}[/tex] so we can write it as
[tex]\frac{\sqrt{3} }{2} = \frac{x}{8}[/tex]
So we get the slant height of x = [tex]4\sqrt{3}[/tex].
Answer:
The slant height of square pyramid = 4√3 m
Step-by-step explanation:
From the figure we can see a square pyramid with lateral edge 8 m
Also the one angle of face triangle is 60° , therefore the face triangle is an equilateral triangle.
Therefore the base is 8 m
To find the slant height
slant height² = Lateral edge² - (base/2)²
= 8² - (8/2)² = 8² - 4²
= 64 - 16 = 48
Slant height = √48 = 4√3 m
Therefore slant height of square pyramid = 4√3 m
The shapes of the horizontal cross-sections of the cone below are all congruent. True or false
Answer:
the answer is false
Step-by-step explanation:
False, The shapes of the horizontal cross-sections of the cone below are not all congruent.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We are given the statement,
'The shapes of the horizontal cross-sections of the cone are all congruent'.
Now, if we cut the cone horizontally, the cross-sectional shape is a 'circle'.
Further, the radius of the circle vary depending on the position form where the cone is cut i.e.
If cut from the top, the circle is approximately equal to a point.
If cut from the middle, the radius of the circle is less than the radius of the cone.
If cut from the bottom, the radius of the circle is equal to the radius of the cone.
Now, 'two figures are congruent if they overlap each other'.
Since, the circles have different radius, they will not overlap each other.
Thus, all the cross-sections of the cone would not be congruent.
Hence, the given statement is false.
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A game company makes a board game that comes with 2 dice and a card game that comes with 3 dice. Which expression shows the total number of dice in b boxes for the board game and the card game?
Answer:
5
Step-by-step explanation:
3 + 2 = 5
The expression for the total number of dice in b boxes for both a board game, which comes with 2 dice, and a card game, which comes with 3 dice, is 5b. This is calculated by adding the number of dice in each box (2b for the board game and 3b for the card game).
Explanation:The question is asking for an expression that shows the total number of dice in b boxes of the board game and the card game. The board game comes with 2 dice and the card game comes with 3 dice.
To get the total number of dice, one needs to multiply the number of dice in each type of game by the number of boxes, b, and then add the results together.
The total number of dice in the board game is 2b and the total number of dice in the card game is 3b. The sum of these two amounts gives the total number of dice. So the expression for the total number of dice in b boxes of both games is 2b + 3b, which simplifies to 5b.
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Mr. Lubec put her 28 students into four equal groups she gave each group 35 sheets of paper how many sheets of paper to each student get
Answer:
5 sheets.
Step-by-step explanation:
There are 28 / 4 = 7 students in one group.
Each group was given 35 sheets of paper so each student got 35/7
= 5 sheets.
Each student will get 5 sheets of paper. This is found by dividing the total number of sheets per group (35) by the number of students in each group (7).
Explanation:To solve the problem, we first need to understand that Mr. Lubec's 28 students are divided into four equal groups. We divide 28 by 4 to determine how many students are in each group, which is 7 students. Mr. Lubec gave each group 35 sheets of paper. To find out how many sheets of paper each student receives, we divide the total number of sheets per group by the number of students in each group.
So, we calculate 35 sheets ÷ 7 students, which equals 5 sheets of paper per student. Therefore, each student will get 5 sheets of paper.
Can someone help me with this problem
Answer:
A = 20P = 6√10Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
A(-3, 0) , B(3, 2)
[tex]AB=\sqrt{(3-(-3))^2+(2-0)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=\sqrt{4\cdot10}=\sqrt4\cdot\sqrt{10}=2\sqrt{10}[/tex]
A(-3, 0), D(-2, -3)
[tex]AD=\sqrt{(-2-(-3))^2+(-3-0)^2}=\sqrt{1^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}[/tex]
AB = CD and AD = BC
The area of a rectangle:
[tex]A=(AB)(AD)[/tex]
Substitute:
[tex]A=(2\sqrt{10})(\sqrt{10})=(2)(10)=20[/tex]
The perimeter of a rectangle:
[tex]P=2(AB+AD)[/tex]
Substitute:
[tex]P=2(2\sqrt{10}+\sqrt{10})=2(3\sqrt{10})=6\sqrt{10}[/tex]
Maria buys a sweater at a department store. The sweater costs $40. The store is having a 35% off sale on everything in the store. Enter the amount of money, in dollars, Maria saves from the sale. Do not consider the sales tax.
Answer:
Maria gets $14 off of the original price of $40
Step-by-step explanation:
Find the length of side a. Round to the nearest tenth.
A) 12
B) 378.4
C) 18.3
D) 19.5
Answer:
D) 19.5
Step-by-step explanation:
The law of cosines gives you the relation ...
a² = b² + c² - 2bc·cos(A)
Substituting the given values, you have ...
a² = 13² + 11² - 2·13·11·cos(108°) ≈ 378.379
a ≈ √378.379 ≈ 19.452 . . . . take the square root
a ≈ 19.5
Explain the difference between an absolute minimum and a local minimum. a function f has an absolute minimum at x = c if f(c) is the smallest function value on the entire domain of f, whereas f has a local minimum at c if f(c) is the smallest function value when x is near
c.
Answer:
Step-by-step explanation:
Absolute minimum is where, in the infinite domain of f(x), the least value the function is the absolute minimum.
However, the local minimum is only a specific interval on the domain of f(x) where the lowest value is, but only in that interval.
So, usually, this comes up when you're dealing with 1st and 2nd derivatives. The first derivative tells you where local max and mins are, where the 2nd derivative tells you if the concavity is up or down.
An absolute minimum is the lowest point on the entire domain of a function, while a local minimum is the lowest point in a specific interval or neighborhood around a point on the graph.
Explanation:
An absolute minimum and a local minimum are both points on a graph where the function reaches its lowest value, but there are key differences between them.
An absolute minimum is the lowest point on the entire domain of the function. In other words, it is the smallest function value among all the points.
On the other hand, a local minimum is the lowest point in a specific interval or neighborhood around a particular point on the graph. It is possible for a function to have multiple local minima.
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Please answer this multiple choice question, will give brainliest!
Answer:
A angle V and angle Z
Step-by-step explanation:
Using the equilateral triangle's definition of all sides and angles are equal, we can determine that V, Z, and U are congruent.
What is the probability that the roll of a six-sided die will be either even or odd? A) 1 6 B) 1 4 C) 1 2 D) 1
Answer:
D) 1
Step-by-step explanation:
Every whole number (including the ones on a die) are either even or odd, nothing else. So it is guaranteed for the number to be even or odd.
Big Smiles Toy Company needs to pack marbles into a box. The company has two boxes they can use. Box A is 9 inches wide, 13 inches long, and 11.5 inches high. Box B is 14 inches wide, 8.5 inches long, and 12 inches high. Big Smiles Toy Company wants to use the larger box. Which box should the company choose and how much larger is it?
Answer:
The answer is Box B by 82.5 inches, let me know if it helped.
Step-by-step explanation
The company should choose Box B as it is larger than Box A. The volume of Box A is 1,497.75 cubic inches and the volume of Box B is 1,428 cubic inches, making Box A 69.75 cubic inches larger than Box B.
Explanation:The company should choose Box B as it is larger than Box A. To calculate the size difference, we need to find the volume of each box, which is calculated by multiplying the length, width, and height of the box. For Box A, the volume is 9 inches * 13 inches * 11.5 inches = 1,497.75 cubic inches. For Box B, the volume is 14 inches * 8.5 inches * 12 inches = 1,428 cubic inches. Therefore, Box A is 69.75 cubic inches larger than Box B.
How many 5-letter combinations can be created from the letters in the word "friendly"?
Answer:
1). infer 2). fired 3). filed 4). filer 5). elfin 6). nerdy 7). felid 8). finer 9). liner 10). lined 11). fiery 12). fiend 13). ferly 14). ferny 15). lindy 16). fined 17). lifer 18). field 19). redly 20). riley 21). riled 22). liney 23). rifle 24). drily 25). fried 26). diner 27). flier 28). flied 29). idler 30). deify 31). reify 32). yield 33). refly 34). dynel 35). edify 36). flyer
hope this helps :)
If 1 4 of a gallon of milk is shared equally between 6 friends, how much milk will each friend have?
1 Gallon = 4 quarts of milk
1/4 = 1 quart of milk
4 quarts of milk = 8 pints of milk
8/6 = 1.33 pints of milk
Each friend has 1.33 pints of milk
Each friend will get 1/24 of a gallon of milk.
To find out how much milk each friend will have, we need to divide 1/4 of a gallon by 6.
how much milk each friend gets,
(1/4) ÷ 6
(1/4) × (1/6)
= 1/24
Therefore, each friend gets 1/24 of a gallon of milk.
In conclusion, if 1/4 of a gallon of milk is shared equally among 6 friends, each friend will have 1/24 of a gallon of milk.
The circumference of a circle is 34π
find the diameter and radius
please put an explanation, I desperately need help with finding diameter/radius with circumference
The circumference of a circle is calculated like this:
[tex]c = 2 \times \pi \times r = \pi \times d[/tex]
If the circumference of the circle is 34π, its diameter is 34(cm), therefore its radius is 17(cm).
To find the diameter and radius of a circle when given the circumference, you can use the formulas C = 2πr or C = πd. In this case, the circumference is 34π. The circle's diameter is 34 units, and the radius is 17 units.
Explanation:To find the diameter and radius of a circle when given the circumference, you can use the formula C = 2πr or C = πd, where C is the circumference, r is the radius, and d is the diameter. In this case, the circumference is given as 34π. Using the formula C = πd, we can substitute the value of the circumference and solve for the diameter:
34π = πd
Dividing both sides of the equation by π, we get:
34 = d
So, the diameter of the circle is 34 units. To find the radius, we can use the formula r = d/2:
r = 34/2
r = 17
Therefore, the circle's diameter is 34 units, and the radius is 17 units.
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PLEASE HELP!!!! WILL MARK BRAINLIEST!!!
A science museum has a spherical model of the earth with a diameter of 8.5 m. What is the volume of the
model? Use 3.14 for
and round your answer to the nearest whole number. Show your work.
Answer:
The volume of the model is [tex]321\ m^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the sphere (model of the earth) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
In this problem we have
[tex]r=8.5/2=4.25\ m[/tex] ----> the radius is half the diameter
substitute the values
[tex]V=\frac{4}{3}(3.14)(4.25)^{3}=321\ m^{3}[/tex]
Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month average for monthly tips? June July August Septemper October November $133.45 $235.31 $239.45 $258.87 $298.45 $115.67 a. Her monthly average would have decreased by $19.57. b. Her monthly average would have increased by $19.57. c. Her monthly average would have increased by $2.07. d. Her monthly average would have decreased by $2.07.
Answer:
Correct answer is B.) Her monthly average would have increased by $19.57.
Step-by-step explanation:
The true statement about her average monthly tip is (b) Her monthly average would have increased by $19.57.
What is average?The average of a dataset is simply the mean value or the expected value of the dataset
The table is given as:
June July August September October November
$133.45 $235.31 $239.45 $258.87 $298.45 $115.67
For the 6 months, the average is:
Average = (133.45+235.31+239.45+258.87+298.45+115.67)/6
Average = 213.53
For the 5 months (i.e. exclusive of December), the average is:
Average = (133.45+235.31+239.45+258.87+298.45)/5
Average = 233.10
The 5 months average is greater than the 6 months average.
And the difference (d) is:
d = 233.10 - 213.53
Evaluate
d = 19.57
Hence, Her monthly average would have increased by $19.57.
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