[tex]b = 5, \: g = 3, \: r = 8[/tex]
[tex]total = 5 + 3 + 8 = 16[/tex]
[tex]p(b) = \frac{5}{16} [/tex]
[tex]p(g |without \: replacement|) = \frac{3}{16 - 1} = \frac{3}{15} = \frac{1}{5} \\ [/tex]
[tex]p(b \: and \: g) = \frac{5}{16} \times \frac{1}{5} = \frac{1}{16} [/tex]
What is the solution of the system of equations y =- 2x 8 y x 4?
The solution of the system of equations y =0 x=4
To solve the system of equations, we must set the two equations equal to each other and solve for x.
y = -2x + 8
y = x - 4
We start by subtracting the second equation from the first equation.
-2x + 8 = (x - 4)
We then add 4 to both sides of the equation.
-2x + 12 = x
We then subtract 12 from both sides of the equation.
-3x = -12
Finally, we divide both sides of the equation by -3.
x = 4
Now that we have solved for x, we can substitute 6 for x in either equation and solve for y.
y = -2(4) + 8
y = -8 + 8
y = 0
Therefore, the solution of the system of equations is (4, 0).
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The complete question:What is the solution of the system of equations y= -2x + 8 and y = x - 4?
If 25% of a number is 20 and 60% of the same number is 48, find 85% of that number
Answer:
68
Step-by-step explanation:
25% of a number is 20, where the number is 80 because 25% times 4 is 100% and 20 times 4 is 80.
We can check by doing 60% of 80 to see if it is 48. Instead of 60%, we can do 10% of 80, which is 8. Since we divided by 6, we multiply 8 by 6 which is 48.
Since we know 80 is the number, we have to find 85% of 80. First, let's find 5% of 80, which is 4 since 4 x 20 is 80 and 5% x 20 is 100%. Now, 85 divided by 5 is 17, let's multiply 17 by 4 to get 85% of 80. 17 x 4 is 68 which is 85% of 80.
A circle has a circumference of 487
centimeters. Maricela recorded that the
circumference was 150.8 centimeters. Is
150.8 less than a greater than 48-?
Explain your answer:
Answer:
[tex]150.8 < 487[/tex]
Step-by-step explanation:
Given
[tex]C = 487cm[/tex] -- Actual measurement
[tex]M = 150.8[/tex] -- Recorded measurement
Required
Is M < C or M > C?
By comparing both values, we can see that:
[tex]M < C[/tex]
Because, on a number line from right to left; 150.8 comes before 487.
Hence:
[tex]150.8 < 487[/tex]
Is the Z or Y axis vertical?
Answer:
yes!
Step-by-step explanation:
the y axis vertical, and the x axis is horizontal!
Please help if you want brianleist!!- NO LINkS child..
Ty
Answer:
D :)))
Step-by-step explanation:
Find the surface of the prism.
Answer:
520 yd^2
Step-by-step explanation:
The prism is a rectangular prism
2 * (14 * 5) + (5 * 10) + (14 * 10)= 520
Answer: 520 yards squared
Step-by-step explanation: The surface area is basically the area on every surface. So it’s (14x10)x2 + (14x5)x2 = 520 yards squared. Hope it helped! :)
write days in May to days in a year as a ratio.
Answer:
Step-by-step explanation:
Days in may = 31
Days in a year = 365
therefore, expected ratio = 31/365
Explain how the quotient was determined.
Find the x value of x. If necessary round to the nearest tenth. A=49sq.in.
Answer:
[tex]9.9 ~in[/tex] ✔︎
Step-by-step explanation:
[tex]A=1/2 ~ base * height[/tex]
[tex]49=1/2(x)(c)[/tex]
[tex]98=x^2[/tex]
[tex]x=\sqrt{98}[/tex]
[tex]x=7\sqrt{2}[/tex]
[tex]x=9.9[/tex]
༄❁༄❁༄❁༄❁༄
hope it helps...
have a great day!!
Factor.
2x² - 5xy - 3y^2
Answer:
2x² - 5xy - 3y²= (2x+y)(x-3y)
can i have brainliest please
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. What may be true
B. What must be true
C. None of these
D. What may be false
k
The correct option is B.Because when i use deduction and start from a given set of rules and condition is what must be true.If you analyze it to be true then it must be definitely true.
What is deduction in math?Deduction is a conclusion from something known or assumed. This is the type of reasoning we use in almost every step in a mathematical argument. For example to solve 2x = 6 for x we divide both sides by 2 to get 2x/2 = 6/2 or x = 3.
What is deduction rule in logic?In mathematical logic a deduction theorem is that justifies doing conditional proofs—to prove an implication A → B, assume A as an hypothesis and then proceed to derive B—in systems that do not have an explicit inference rule for this.
Now we able to know
Deduction is a term used to known as validated principle.This is when you analyze points through logic from a given set of rules and condition.
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A reading teacher recorded the number of pages read in an hour by each of her
students. The numbers are shown below.
44, 49, 39, 43, 50, 44, 45, 49, 51
For this data, which summary statistic is NOT correct?
1.The minimum is 39.
2.The median is 45.
3.The lower quartile is 44.
4.The maximum is 51.
Write the place value and value of each digit of the decimals 6905.327 also write its name and expanded form
Answer:
6000.000 + 900.000 + 0 + 5 + 3/10 + 2/100 + 7/1000
six thousand nine hundred and five ones point(.) three tenths two hundredths and seven thousandths
Step-by-step explanation:
right!!!
giving 100 pts/ brainliest!! please help this is due in 20 minutes
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
What is the system that models this situation?
Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.
Answer:
p + m = 5, p + 0.2m = 0.6(5)2.5 lb peanuts; 2.5 lb almond mixStep-by-step explanation:
You have peanuts and an 80-20 almond-peanut mix, and you want to know how many pound of each are needed for 5 lb of a 60% peanut mix.
System of equationsThe system of equations relating the pounds of peanuts (p) and the pounds of almond mix (m) will describe the total mixture weight, and the weight of the peanuts.
p + m = 5 . . . . . . total mixture weight is 5 lb
p + 0.20m = 0.60(5) . . . . . weight of peanuts in the 60% peanut mix
SolutionWe can subtract the second equation from the first to eliminate the variable p:
(p +m) -(p +.2m) = (5) -(.6)(5)
0.8m = 0.4(5) . . . simplify
m = 2.5 . . . . . . . . divide by 0.8
p = 5 -m = 2.5
The solution to the system is 2.5 lb peanuts and 2.5 lb mixture.
HELP PLEASE!!!
b) What if you triple the diameter of a circle. What happens to the area?
Explain using examples.
Easy Points !!✅
Casey’s starting balance was $922.36. He had $256.71 in deposits and $1,317.24 in debits. What is his ending balance ?
Since starting balance is $922.36 and she deposits $256.71 and then debits $1317.24. Ending Balance will be 922.36+256.71-1317.24=$138.17 in debt.
Deposits? What do you mean?You make a deposit when you add money to your bank account. To build savings and earn interest, you should put money in a bank. For money you can withdraw at any time, a demand deposit is made. A time deposit is an investment for the long term. When you take out a loan, you might also pay a deposit as collateral.
Debit and credit mean what?In double-entry bookkeeping, debits and credits are entries made in account ledgers to record value changes brought on by business transactions. A credit entry represents a value transfer from the account, whereas a debit entry represents a transfer of value to the account.
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A school administrator wants to know what proportion of teachers in their state have a Master's degree. The administrator takes an SRS of 100100100 teachers from a statewide database containing every teacher, and they find 555555 teachers in the sample have a Master's degree. The administrator wants to use this data to construct a one-sample zzz interval for a proportion.Which conditions for constructing this confidence interval did their sample meet
When we construct the confidence interval their sample must have some conditions which are as follows,
The data should be a random sample from the population of interest.np^ ≥ 10 n(1 - p^) ≥ 10Individual observations can be taken as independent.Therefore , these are the conditions which the administrator should use to construct a one-sample z interval for a proportion.
When two ratios are equivalent to each other , they are said to be in a state called proportion. The proportion formula is used to see whether the given ratios or fractions are equal or not . The proportion formula can be given as, The product of means is equal to the the product of extremes. This can be written as ad = bc.
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I need help, please
and can someone explain so I can stop posting so many of these?
it's infinitely many bc the equations have the same line
Answer:
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
Step-by-step explanation:
How many solutions does the following system have?
y = -2x – 4
y = 3x + 3
Solution:
Given y = -2x – 4
y = 3x + 3
Rewriting to the general form
-2x – y – 4 = 0
3x – y + 3 = 0
Comparing the coefficients,
(a1/a2) = -⅔
(b1/b2) = -1/-1 = 1
(a1/a2) ≠ (b1/b2)
Hence, this system of equations will have only one
Which is a possible benefit of having a good credit history?
Answer:
When you have a good credit score, you're more likely to meet lending approval guidelines and borrow money when you need it most, explains McClary. This can help if you're ever in a pinch and need to open a credit card. You're more likely to qualify for a 0% APR card like the Citi Simplicity® Card.
•35 POINTS• don’t explain.
SSS
SAS
ASA
SAA
HL
Reason:
The tickmarks tell us that the pair of hypotenuses are congruent.
The shared horizontal sides at the bottom are the pair of congruent legs of the right triangles. Therefore, we can use the hypotenuse leg (HL) theorem. This theorem only works for right triangles.
A circular flower garden has a diameter of 16 feet. At the center of the garden is a circular pool 5 feet in diameter. If a coin is tossed at random into the garden, what is the probability that the coin will land in the pool.
Answer:
0.0977
Step-by-step explanation:
From the question,
A = πR²...................... Equation 1
Where A = Area of the circular flower garden, R = Radius of the circular flower garden.
Also,
A' = πr²..................... Equation 2
Where A' = Area of the circular pool, r = radius of the circular pool.
If a coin is tossed at random into the garden, the probability that the coin will land in the pool is
Pr = Area of the pool(A')/Area of the garden(A)
Pr = A'/A....................... Equation 3
Substituting equation 1 and 2 into equation 3
Pr = πr²/πR².
Pr = r²/R².................... Equatio 4
Given: R = 16/2 = 8 feet, r = 5/2 = 2.5 feet.
Substitute these values into equation 4
Pr = 2.5²/8²
Pr = 6.25/64
Pr = 0.0977
A loan of $9,000 has an annual simple interest rate of 3.5%. What would be the simple interest rate if a loan of $9,000 that is repaid in 6 years has a total cost of $11,052?
Answer: 3.8%
Step-by-step explanation:
First find the interest cost:
= Amount repaid - Amount borrowed
= 11,052 - 9,000
= $2,052
This cost is the simple interest and because it is the same figure per year, the annual simple interest can be determined by dividing the above by the number of years:
= 2,052 / 6
= $342
Now that we have the simple interest amount, divide it by the amount borrowed to find the rate:
= 342 / 9,000
= 3.8%
What is the first month in which the board will see the cumulative total number of cars shipped to Japan exceeded the cumulative total in Vietnam
The cumulative total in Vietnam j(n) is 23(n-1),cumulative takes into account all data up to the present. In month four, j(n) will be worth more than v(n).
Is the sum the same as the total?The distinction between total and cumulative is that total refers to the entirety of something, whereas cumulative takes into account all data up to the present.
When a new number is added to a series of numbers, the running total is updated by adding the new number's value to the previous running total. Partially sum is another name for it. Running totals serve two distinct objectives.
We take it for granted that you mean that vehicles delivered to Vietnam should be modeled by v(n) = 5 + 11 and those sent to Japan by j(n) = 23(n-1).
In month four, j(n) will be worth more than v(n).
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Mr. Petrov was trying to choose between two different plans for dollhouses for his daughter.
Both dollhouses have a rectangular prism base with a length of 6 inches, width of 6 inches, and height of 5 inches. Dollhouse 1 has a triangular prism top. The triangular base has a base of 6 inches and height of 4 inches. The prism has a height of 6 inches. Dollhouse 2 has a square pyramid top with a base of 6 inches by 6 inches and height of 4 inches.
Which statements are true about the dollhouses? Select three options.
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.
Answer:
Step-by-step explanation:
A B D
Answer:
Its A,B,D
i got them right on the quiz :)))
A bedroom (14 ft by 12 ft) and hallway (9 ft by 3 ft) are getting new wood flooring. Wood flooring is priced at $6.00 per square foot. How much will it cost to add the wood flooring? It will cost $for the flooring.
Answer:
about 20 feet
Step-by-step explanation:
Answer:
$1170
Step-by-step explanation:
Please find and explain the answer to this problem(algebra 2)
Answer:
you need to add the problem. or at least a photo of it.
Answer:
u need to write or add a pic of the question
Step-by-step explanation:
A population of 40 foxes in a wildlife preserve quadruples in size every 13 years. The function y=40•4x, where x is the number of 13-year periods, models the population growth. How many foxes will there be after 26 years?
Answer:
640
Step-by-step explanation:
y = 40(4)^x
x = 26/13 = 2
y = 40(4)^2
y = 40 (16)
y = 640
Please help fast
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second. The height h, in feet, of the rock t seconds after it was thrown can be modeled by the function h(t)=-16t^2 +96t+40. Find the height of rock 4 seconds after it was thrown.
The height of rock 4 seconds after it was thrown is 168 ft.
What is speed?Speed is measured as distance moved over time.
Speed = Distance/ Time.
Here, given that,
we have
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second.
The height h, in feet, of the rock
t seconds after it was thrown can be modeled by the function
h(t)=-16t^2 +96t+40.
where
h -----> is the height in feet of the rock
t -----> the time in seconds
For , t=4, we get,
substitute the value of t in the function and find the value of h
h(4)=-16×4^2 +96×4+40.
So, h= 168
Hence, the height of rock 4 seconds after it was thrown is 168 ft.
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h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does hhh have a negative average rate of change?
The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Given expression,
h(x) = x² - 1
Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).
Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.
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find Angles in isosceles triangles
Step-by-step explanation:
[tex]\sf \hookrightarrow \: x + x + 88 = 180 \\ \sf \hookrightarrow \: 2x +88 = 180 \\ \sf \hookrightarrow \: 2x = 180 - 88 \\ \sf \hookrightarrow \: 2x = 92 \\ \sf \hookrightarrow \: x = \frac{92}{2} \\ \sf \hookrightarrow \: x = 46[/tex]
Answer:
46 degrees
Step-by-step explanation:
Sum of interior angles of a triangle is 180,
x + x + 88 = 180
2x + 88 = 180
2x = 180 - 88
2x = 92
x = 92 / 2
x = 46 degrees