Answer:
125
Step-by-step explanation:
To find volume you use length x width x height. All sides of a cube or square with always be the same so just use the equation 5 x 5 x 5 to get the answer.
Subtracting -9 from any number is the same as
Answer:
0
Step-by-step explanation:
A turtle weights 153.7g what would be its weight in milligrams?
Answer:
153700
Step-by-step explanation:
Given that a rectangle has an area of 35cm^2 and a perimeter of 24cm. What are the length and width of the rectangle?
Answer: width= 5cm Length= 7
Step-by-step explanation:
Parallel Lines and Angle Relationships
#1 What is the value of y. Type your answer below. *
#2 If the m<4 is 110 degrees, what is m<1 ? (Give number value only.) *
#3 If e || f and a || b, what is the value of y. *
A) 87
B) 88
C) 91
D) 92
Answer:
1. y = 80°
2. m<1 = 70°
3. y = 92°
Step-by-step explanation:
1. Since lines c and b are parallel lines cut across by transversal a, therefore:
y = 80° (alternate exterior angles are congruent)
2. m<1 is the supplement of m<4, because the angle that forms a linear pair with <1, corresponds with <4.
Therefore: m<1 = 180° - 110° = 70°
3. First, find the value of x.
(x + 1)° + (x - 3)° = 180° (supplementary)
x + 1 + x - 3 = 180°
2x - 2 = 180°
2x = 180 + 2 (addition property of equality)
2x = 182
x = 182/2 (division property of equality)
x = 91
(x + 1)° = y° (alternate interior angles are congruent)
Substitute x = 91
91 + 1 = y
92° = y
What is f(g(13))?
A 16
B 26
C 32
D the function is undefined
Answer:
answer is 32
Step-by-step explanation:
google the answer
The sum of three consecutive multiples of 7 is 168 find the numbers
Answer:
the 3 numbers are 49 56 and 63
please help to find log 11 base 2. PLEASE HURRY UP INEED TO SUBMIT MY HOMEWORK TOMORROW.
HELP ME PLEASE
The value for log₂11 is 3.459.
To find the logarithm of 11 base 2, we need to determine the power to which we must raise 2 to obtain the value 11. In other words, we need to solve the equation 2^x = 11 for x.
Finding the exact value of log₂11 can be challenging since 11 is not a power of 2. Therefore, we can approximate the answer using numerical methods.
One way to approach this is by using the bisection method. We start by considering a lower bound and an upper bound for the value of x. Since 2^3 = 8 and 2^4 = 16, we can choose the interval [3, 4] as a starting point.
Next, we evaluate the midpoint of the interval, x = (3 + 4) / 2 = 3.5, and calculate 2^3.5 ≈ 11.314. Since this is larger than 11, we update our upper bound to 3.5.
We repeat the process by evaluating the midpoint of the new interval [3, 3.5], which gives us x = (3 + 3.5) / 2 = 3.25. Calculating 2^3.25 ≈ 10.63, we see that it is smaller than 11. Thus, we update our lower bound to 3.25.
We continue this iterative process, halving the interval each time, until we reach a satisfactory level of precision. After several iterations, we find that the value of x is approximately 3.459.
Therefore, an approximation for log₂11 is 3.459.
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A candy bowl has 50 pieces of candy. Gumballs make up 20% of the
candy bowl. How many pieces of candy are gumballs?
Answer:
10 gumballs
Step-by-step explanation:
Since gumballs are 20 percent of 50 pieces(or 1/5), we divide 50 by 1/5.
We then get ten as our answer.
How do you do this problem and what are the conditions met that makes this a binomial distribution(all 3 conditions)?
The three conditions of a binomial distribution are:
Each trial has two outcomes (eg: "yes or no", "true or false", "red chip or not red chip", etc)There are a fixed number of trials. This is the value of n.Each trial has the same probability of success. This is the value of p.In this case, all of the conditions of a binomial have been met because...
There are two outcomes. We either get a red chip, or we don't get a red chip. I'm focusing on the red chips because the question asks about the probability of getting 1 red chip.We have n = 5 trials, where each trial consists of selecting a chip and putting it back. It's important to put the chip back so that p is not altered.The probability of success is p = 6/9 = 2/3 This is the probability of selecting a red chip. This is because there are 6 red out of 6+3 = 9 total.Since we only want one red chip, and there are 5 slots to fill (1 red+4 black), this must mean there are exactly 5 ways to get what we want.
We could have the following selections
RBBBBBRBBBBBRBBBBBRBBBBBRWith R = red and B = black. This value 5 will be used as the binomial coefficient. You can find this value through the use of the nCr combination formula or using Pascal's Triangle.
Note: we only have 3 black chips, but because we put the chip back each time, it means we can get more than 3 black selections.
We'll also be using x = 1 to find the probability of getting exactly one red chip
P(x) = (binomialCoefficient)*(p)^x*(1-p)^(n-x)
P(x) = 5*(p)^x*(1-p)^(n-x)
P(1) = 5*(2/3)^1*(1-2/3)^(5-1)
P(1) = 0.0411523
The probability of getting exactly one red chip is roughly 0.0411523
Answer:
0.04112
Step-by-step explanation:
The total number of chips here are 6 + 3 = 9 chips
The probability of there being red chips would be 6/9 = 2/3rds = 0.67
According to the binomial theorem P(x) = C(n, x) * px * (1 - p)(n - x). We know that the process is repeated until 5 chips have been drawn, so n = 5. The probability that one red chip is selected would make x = 1, so we would have to solve for P(1).....substituting appropriate values;
P(1) = C(5, 1) * 0.67^1 * (1 - 0.67)^4
= 0.67 * 5.1(1 - 0.67)^4C
= 0.33^4 * 0.67 * 5.1C
= 0.33^4 * 3.417C
= (About) 0.04112...C
The probability that one chip was selected would be about 0.04112
is 5.32147 rational or irrational
Answer:
5.32147 is a rational number
Step-by-step explanation:
5.32147 is a rational number because it can be turned into a fraction.
Numbers that Make Sense A rational number is any number that can be expressed as a ratio (or percentage) of two integers.
Rational number:It can be represented as a ratio of 2 integers, with the denominator not being 0, whereas it cannot be expressed in the infraction. The number of Irrational have non-terminating decimals, whereas rational numbers have termination decimals.
[tex]\to 5.32147 \\\\\to \frac{532147 }{100000}[/tex]
Therefore, the given number is a "rational number".
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6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A-Lot is $42 per day plus $0.72 per mile. The rental cost for Move-It-Truckers is $70 per day plus $0.12 per mile. Let m represent Emily’s mileage. Write an equation to represent the cost of renting each truck, and determine what will be the number if miles for which the truck cost the same amount.
What is the value of the expression below when y=8 and z=8?
10y-3z
Answer:
We have to find the value of 10y - 4zSolution :Given Values
y = 8z = 8Substituting these values in 10y - 3z
we get,
= 10 × 8 - 3 × 8
= 80 - 24
= 56
Hencevalue of 10y - 3z is 56Paul bought a package of 6 spiral notebooks for a total cost $13.50. Which equation represent p, the cost, in dollars, of each notebook?
A) p= $13.50-6
B) p=$13.50x6
C)p= $13.50+6
D)p= $13.50divided by 6
Answer:
It would be D
Step-by-step explanation:
Its d because if you put it in an equation it would be 6p=13.5
Isolate the p by dividing 6 on both sides.
p=13.5/6
theres your answer!
PLS HELP!
Shannon is designing a new rectangular
flag for the school's color guard and is determining the
angles at which to cut the fabric. She wants the measure of
22 to be three times as great as the measure of Z1. She
thinks the measures of 23 and 24 should be equal. Finally,
she wants the measure of 26 to be half that of 25.
Determine the measures of the angles.
3
Answer:
Step-by-step explanation:
Shannon is designing a rectangular flag.
Therefore, all the interior angles of this flag measure 90°.
m∠1 + m∠2 = 90°
Since, ∠2 is 3 times as great as the measure of ∠1.
m∠2 = 3(m∠1)
Therefore, m∠1 + 3(m∠1) = 90°
4(m∠1) = 90°
m∠1 = 22.5°
m∠2 = 3(m∠1)
= 3(22.5)°
= 67.5°
m∠3 + m∠4 = 90° [Interior angle of a rectangle]
She thinks ∠3 and ∠4 are equal,
m∠3 = m∠4
m∠3 + m∠3 = 90°
2m∠3 = 90°
m∠3 = 45°
m∠4 = m∠3 = 45°
m∠2 = m∠6 [Opposite angles of a parallelogram are equal]
Therefore, m∠2 = m∠6 = 67.5°
Finally she wants the measure of ∠6 is half of the measure of ∠5.
m∠6 = [tex]\frac{1}{2}[/tex](m∠5)
67.5° = [tex]\frac{1}{2}[/tex](m∠5)
m∠5 = 2(67.5)°
= 135°
Answer: Shannon is designing a rectangular flag.
Therefore, all the interior angles of this flag measure 90°.
m∠1 + m∠2 = 90°
Since, ∠2 is 3 times as great as the measure of ∠1.
m∠2 = 3(m∠1)
Therefore, m∠1 + 3(m∠1) = 90°
4(m∠1) = 90°
m∠1 = 22.5°
m∠2 = 3(m∠1)
= 3(22.5)°
= 67.5°
m∠3 + m∠4 = 90° [Interior angle of a rectangle]
She thinks ∠3 and ∠4 are equal,
m∠3 = m∠4
m∠3 + m∠3 = 90°
2m∠3 = 90°
m∠3 = 45°
m∠4 = m∠3 = 45°
m∠2 = m∠6 [Opposite angles of a parallelogram are equal]
Therefore, m∠2 = m∠6 = 67.5°
Finally she wants the measure of ∠6 is half of the measure of ∠5.
m∠6 = (m∠5)
67.5° = (m∠5)
m∠5 = 2(67.5)°
= 135°
Step-by-step explanation:
When all n teams in a league play every other team twice, a total of N games are played, where N=n2−n. A soccer league has 5 teams and all teams play each other twice. How many games are played?
Step-by-step explanation:
using N=n^2-n
let n be 5 which is no of teams
N=5^2-5
N=25-5
N=20
where N is for only one match
so,let 2 matches be x
x=2N
x=2×20
x=40
so they played a total of 40 matches
2/3(g-7)=3 help with answer please
Answer:
g = 23/2
Step-by-step explanation:
Answer:
2/3(g-7)=3
We move all terms to the left:
2/3(g-7)-(3)=0
Domain of the equation: 3(g-7)!=0
g∈R
We multiply all the terms by the denominator
-3*3(g-7)+2=0
Wy multiply elements
-9g(g+2=0
01.01)
Evaluate 32 + (8 − 2) ⋅ 4 − 6 over 3. (1 point)
Answer:
In the explanation. :)
Step-by-step explanation:
Find the exact value using trigonometric identities.
50 , 3 p o i n t
Hope this helps. Have a great day!
Answer:
50 , 3
Step-by-step explanation:
Andrew is choosing between four loans. Loan P has a nominal rate of 10.393%, compounded daily. Loan Q has a nominal rate of 10.516%, compounded weekly. Loan R has a nominal rate of 10.676%, compounded monthly. Loan S has a nominal rate of 10.755%, compounded annually. Which loan will give Andrew the best effective interest rate? a. loan P b. loan Q c. loan R d. loan SAndrew is choosing between four loans. Loan P has a nominal rate of 10.393%, compounded daily. Loan Q has a nominal rate of 10.516%, compounded weekly. Loan R has a nominal rate of 10.676%, compounded monthly. Loan S has a nominal rate of 10.755%, compounded annually. Which loan will give Andrew the best effective interest rate? a. loan P b. loan Q c. loan R d. loan S
Answer:
D as in Drink
Loan S as a Snake
Step-by-step explanation:
The loan that offers the lowest effective interest rate is loan P.
What is the effective interest rate?Effective interest rate is the actual interest rate that is paid on a loan. It takes into effect the compounding.
What loan offers he lowest effect interest rate?Effective annual rate = (1 + APR / m ) ^m - 1
M = number of compounding
Loan P = (1 + 0.10393/365)^365 - 1 = 10.95%
Loan Q = (1 + 0.10516/52)^52 - 1 = 11.08%
Loan R = (1 + 0.10676 / 12)^12 - 1 = 11.2%
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Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes exactly 3 books from this shelf. Let s be the number of students which visit library on a particular day. Let b be the number of books left on the shelf at the end of that day.
a.How does the number of books left on the shelf depend on number of students visiting library? Find formula for the function b(s).
b.There are 150 students studying in this school. Use this information to find the domain of the function b(s).
Answer:
A. 3(s)
B. 3(150) = 450 and 560 - 450 = 110 remaining books
Step-by-step explanation:
A. The number of leftover books on the shelf depends on the number of students because 3 books are taken per student, and the more students there are, the more books are taken. Specifically in sets of 3, gradually decreasing the total number of books and leaving a smaller amount leftover each time. Using b(s), we would replace "b" with 3 to represent the set of 3 books, since they are multiplied by the amount of students, giving us the formula 3(s).
B. Now that we know how many students are in the school library, in this case 150 is provided, we will also replace "s" with 150, the amount of students that are studying and taking 3 books each. So 3(150) = 450 books, and to find the leftover amount of b, we simply subtract 450 from 560. 560 - 450 = 110, meaning 110 represents the books left on the shelf.
The total number of books that'll be left on the shelf will be 110 books.
Number of books that are placed on the table = 560 books
Number of books taken by each student = 3 books each
Number of students that took books = s
Therefore, the number of books that are left on the shelf at the end of that day will be:
b = 560 - 3(s)
b = 560 - 3s
Therefore, when there are 150 students studying in this school, the number of books that will be left on the shelf will be:
b = 560 - 3s
b = 560 - 3(150)
b = 560 - 450
b = 110
There'll be 110 books left on the shelf.
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Beto got paid $100 dollars for washing a car. He put $40 in savings and bought 7 pizzas at $5 each. How much does he have left?
Answer:
25
Step-by-step explanation:
If h(x) = -2x - 10, find h(-4).
Answer:
8 - 10 or -2
Step-by-step explanation:
h(-4) = -2(-4) - 10 = 8 - 10. If you want the answer to the problem, 8 - 10 = -2.
Roulette is a very popular game in many American casinos. In roulette, a ball spins on a circular wheel that is divided into 38 arcs of equal length, bearing the numbers 00, 0, 1, 2, ..., 35, 36. The number of the arc on which the ball stops is the outcome of one play of the game. The numbers are also colored in the following manner:
Red: 1,3,5,7,9,12,14,16,18,19,21.23,25,27,30,32.34,36
Black: 2.4,6,8,10,11,13,15,17,20,22,24.26,28,29,31,33,35 Greerz: 00,O
Players may place bets on the table in a variety of ways, including bets on odd, even, red, black, high, low, etc. Define the following events:
A: (Outcome is an odd number (00 and 0 are considered neither odd nor even)]
B: (Outcome is a black number]
C: {Outcome is a low number (1-18))
Calculate the probabilities of the following events:
a. AUB
b. A ∩ C
c. BU C
d. Bc
e. A ∩ B ∩ C
Answer:
a. P(AUB) = 0.74
b. P(A∩C) = 0.24
c. P(BUC) = 0.71
d. P(Bc) = 0.55
e. P(A∩B∩C) = 0.11
Step-by-step explanation:
n(U) = Total number of elements in the set = number of elements in the universal set = 38
A: (Outcome is an odd number (00 and 0 are considered neither odd nor even)]
An odd number referred to any integer, that is not a fraction, which is not possible to be divided exactly by 2. Therefore, we have:
A: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35
B: 2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35
C: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
a. Calculate the probability of AUB
AUB picks not more than one each of the elements in both A and B without repetition. Therefore, we have:
AUB = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 33, 35
n(AUB) = number of elements in AUB = 28
P(AUB) = probability of AUB = n(AUB) / n(U) = 28 / 38 = 0.736842105263158 = 0.74
b. Calculate the probability of A ∩ C
A∩C picks only the elements that are common to both A and C. Therefore, we have:
A∩C: 1, 3, 5, 7, 9, 11, 13, 15, 17
n(A∩C) = number of elements in A∩C = 9
P(A∩C) = probability of A∩C = n(A∩C) / n(U) = 9 / 38 = 0.236842105263158 = 0.24
c. Calculate the probability of BUC
BUC picks not more than one each of the elements in both B and C without repetition. Therefore, we have:
BUC: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 22, 24, 26, 28, 29, 31, 33, 35
n(BUC) = number of elements in BUC = 27
P(BUC) = probability of A∩C = n(BUC) / n(U) = 27 / 38 = 0.710526315789474 = 0.71
d. Calculate the probability of Bc
Bc indicates B component it represents all the elements in the universal set excluding the elements in B. Therefore, we have:
Bc: 00, 0, 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36
n(Bc) = number of elements in Bc = 20
P(Bc) = probability of Bc = n(Bc) / n(U) = 20 / 38 = 0.526315789473684 = 0.55
e. Calculate the probability of A∩B∩C
A∩B∩C picks only the elements that are common to A, B and C. Therefore, we have:
A∩B∩C: 11, 13, 15, 17
n(Bc) = number of elements in A∩B∩C = 4
P(A∩B∩C) = probability of A∩B∩C = n(A∩B∩C) / n(U) = 4 / 38 = 0.105263157894737 = 0.11
Note: All the answers are rounded to 2 decimal places.
Help !! Plz don’t understand
Answer:
see the attachment
Step-by-step explanation:
We hope this assignment came with an explanation. Otherwise, it's a meaningless image of numbers and circles.
__
We suspect the top circle is supposed to contain the product of the left and right circles, and the bottom circle is supposed to contain their sum.
When you're given only the product and sum, it can work reasonably well to look at the factorization of the product, and the sums of the factor pairs. It usually doesn't take long to find the sum of interest, if the numbers you're looking for are integers. (For the last problem, we had to look at several factor pairs before we found the right one.)
HELP PLS I NEED THIS DONE ASAP
Answer:
a = 4, b = 0
Also, a = 0 and b = 0 :)
One of the vertices of an equilateral triangle is on the vertex of a square and two other vertices are on the not adjacent sides of the same square. Find the side of the triangle if the side of the square is 10 ft.
Answer:
10.35 ftStep-by-step explanation:
Refer to attachment
Let the side of the triangle be a
The line segment x as per Pythagorean is: √(a² - 10²)
Therefore the vertices of the triangle are equidistant from the vertex of the square, so the distance x is same for both vertices
From the triangles we have side of the triangle:
a = √(100 + x²) anda = √(10 - x)² + (10 - x)²Comparing the two we have:
100 + x² = 2(10 - x)²100 + x² = 200 - 40x + 2x²x² - 40x + 100 = 0x² - 2*20x + 20² = 300(x - 20)² = 300x - 20 = ±10√3x = 20 ± 10√3x = 20 ± 17.32x = 37.32 - this is excluded as it can't be greater than side of the squarex = 2.68 ftSo the value of a is:
a = √(100 + x²)a = √100 + 2.68² = √107.1824 = 10.35 ftAnswer:
10√6 - 10√2
Step-by-step explanation:
The shorter leg of the small triangle created by the square and the equilatoral triangle = x
Other leg = 10
One of the triangles is a 45-45-90 triangle, so the hypotenuse, which also happens to be a side of the equilatoral triangle can be denoted as √2(10-x).
Using pythagoearn theorem, we know that relative to the other 2 of the 15-75-90 triangles, their hypotenueses which also happen to be sides of the equilatoral triangle are √(100+x^2)
So using transitivity, we can create this equation:
√(100+x^2)=√2(10-x)
Solving this using quadratic equations, we get that x= 20+10√3, x=20-10√3
The first equation can't be true since x has to be <10, so that means
x=20-10√3
We has substitute this into another equation to get a side length of the equilatoral triangle.
The answer is 10√6 - 10√2
The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the breakrooms. She considers two methods of obtaining a sample of 600 employees from the 4,700 employees at the company. Part A: To make the process easier, the CEO considers surveying the first 600 employees who enter a company annual conference center. Identify the type of sampling method proposed and discuss why this sampling method might be biased. (5 points) Part B: The second method the CEO is contemplating involves a stratified random sample of 600 employees. The company has two campuses with male and female employees at each campus. What circumstances would stratification by campus give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender? (5 points)(10 points)
Answer:
Methods of obtaining a sample of 600 employees from the 4,700 workforce:
Part A: The type of sampling method proposed by the CEO is Convenience Sampling.
Part B: When there are equal number of participants in both campuses, stratification by campus would give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender. Another method to ensure that stratification by campus gives a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender is to ensure that the sample is proportional to the proportion of each campus to the whole population or workforce.
Step-by-step explanation:
A Convenience Sampling technique is a non-probability (non-random) sampling method and the participants are selected based on availability (early attendees). The early attendees might be different from the late attendees in characteristics such as age, sex, etc. Therefore, sampling biases are present. All non-probability sampling methods are prone to volunteer bias.
Stratified sampling is more accurate and representative of the population. It reduces sampling bias. The difficulty arises in choosing the characteristic to stratify by.
A child walks 3/10 of a mile in 1/5hour. How far will he child walk in 1 hour?
Answer:
3/10 times 5
15/10 or 1 1/2
A child can walk one and a half miles in one hour.
Answer:
1.5 miles
Step-by-step explanation:
1 hour is 5 times longer than 1/5 of an hour.
So multiply the distance by 5.
5 X 3/10 = 15/10 or 1 5/10 or 1 1/2 miles
How do I find the missing
Answer:
x = 11.4783
Step-by-step explanation:
cos∅ = adjacent / hypotenuse
Since we are dealing with right triangles, we can use trig to help us solve missing values:
cos28° = x/13
13cos28° = x
x = 11.4783
Which transformation will always map a parallelogram onto itself?
OA
a 90° rotation about its center
OB.
a reflection across one of its diagonals
OC.
a 180° rotation about its center
O D.
a reflection across a line joining the midpoints of opposite sides
what is 4/9 simplified
Answer:
4/9 can not be simplified
Answer:
4/9
Step-by-step explanation:
You cant simplify 4/9 anymore. But in order to check you have to see if you can divide by 2, you can't. Then you see if you can divide by 3, you can't. Then you only have one more number left so you see if you can divide by 4, you can't. So your answer is 4/9.
