A number cube with the numbers 1 through 6 is rolled. Find the given probability.
P(number < 2)
A. start fraction 1 over 6 end fraction
B. start fraction 2 over 6 end fraction
C. The fraction is four-sixths.
D. three-sixths
Answer:
C.) The fraction is four-sixths.?
Step-by-step explanation:
What is a good Estimate 1537
Answer:
if you meant 15 divided by 37 it is 2 R 7.
15 goes into 37 2 times, so write a 2.
30 - 37 = 7.
notify me if you meant anything else!
hope it helps!
there are 20 computers in the school library and 80 sixth-grade students. what is the ratio in lowest terms of computers to sixth-grade students?
Answer:
The ratio is 1:4 or 1 computer for every 4 sixth graders.
Step-by-step explanation:
20 for 80 = 20:80
20:80 divided by 10:10 = 2:8
2:8 divided by 2:2 = 1:4
Which of the following properties could be used to rewrite the expression (2/3 . 1/5) . 5/2 as 2/3 . (5/2 . 1/5)
a. The commutative property used twice
b. The associative property followed by the commutative property
c. The commutative property followed by the associative property
d. The associative property used once
Answer:B
Step-by-step explanation:
a father and his son are shareholders in a public liability company and the father invest 4 times more than his son if there investment amount up to ¢9600 at ¢2 per share.find the total amount of share each has in a company
Proportionately, the total amount of share the father and son have in the public liability company is as follows:
Father = 3,840 sharesSon = 960 shares.What is proportion?Proportion is the equation of two ratios.
Proportion shows the quantity contained in another value.
The number of shares invested by the son in the public liability company = x
The number of shares invested by the father = 4x
The total investment amount by father and son = ¢9600
The price per share = ¢2
The total number of shares = 4,800 (¢9600/¢2)
Ratio = 1:4
Sum of ratios = 5
x + 4x = 4,800
5x = 4,800
x = 960
Son's share = 960 shares
Father's share = 3,840 shares (4 x 960)
Total shares = 4,800 shares (960 + 3,840)
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the graph of function f is shown. function g is represented by the equation. g(x)=8(1/2)^x which statement correctly compares the two functions?
The statement that correctly compares the two functions include the following: D. They have different y-intercepts but the same end behavior.
What is y-intercept?In Mathematics and Geometry, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).
By critically observing the graph and the functions shown in the image attached above, we can reasonably infer and logically deduce the following y-intercepts:
y-intercept of f(x) = (0, 4).
y-intercept of g(x) = (0, 8).
Additionally, the end behavior of both functions f(x) and g(x) is that as x tends towards infinity, f(x) and g(x) tends towards zero:
x → ∞, f(x) → 0.
x → ∞, g(x) → 0.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Diego's parents gave him a fish tank containing 12 goldfish.
Each month, Diego purchases 2 goldfish to add to his fish tank.
Which inequality can be used to find m, the number of months after receiving his fish tank, when Diego will have more than 24 goldfish in his fish tank?
A) 24m + 12 < 2
B) 2m + 24 < 12
C) 2m + 12 > 24
D) 12m + 2 > 24
Answer:
C) 2m + 12 > 24
Step-by-step explanation:
Diego already has 12 goldfish.
He is getting 2 fish each month.
He will have more than 24.
Go step by step that what helps me and that's why I got a 100 on the TFAR.
A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40 units to test for quality. The product is put through a wear-and-tear test to determine the number of days it can last. If the product has a lifespan of less than 26 days, it is considered defective. The table gives the sample data that a quality control manager collected.
39 31 38 40 29
32 33 39 35 32
32 27 30 31 27
30 29 34 36 25
30 32 38 35 40
29 32 31 26 26
32 26 30 40 32
39 37 25 29 34
The point estimate of
The point estimate of the mean of the sample is 32.30.
The point proportion of defective units is 0.05
How to calculate the valueFrom the information, a company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40 units to test for quality. The product is put through a wear-and-tear test to determine the number of days it can last
The point estimate of the mean of the sample is (39 + 31 + 38 + 40 + 29 + 32 + 33 + 39 + 35 + 32 + 32 + 27 + 30 + 31 + 27 + 30 + 29 + 34 + 36 + 25 + 30 + 32 + 38 + 35 + 40 + 29 + 32 + 31 + 26 + 26 + 32 + 26 + 30 + 40 + 32 + 39 + 37 + 25 + 29 + 34) / 40 = 1292/40 = 32.30
The point proportion of defective units is 2/40 = 0.05
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Find the factors of function f, and use them to complete this statement. From left to right, function f has zeros at , , , and .
The factorized form of the given function, f(x) = 2x⁴ - x³ - 18x² + 9x, is, f(x) = x(2x - 1)(x + 3)(x - 3), and the complete statement is, From left to right, function f has zeros at x = -3, x = 0, x = 1/2, and x = 3.
In the question, we are asked to find the factors of the function f, and complete the given statement.
The function f, given to us is:
f(x) = 2x⁴ - x³ - 18x² + 9x.
To factor the function, we first group the terms as follows:
f(x) = (2x⁴ - 18x²) - (x³ - 9x).
Now, we take common terms out of the group as follows:
f(x) = 2x²(x² - 9) - x(x² - 9).
Now, we again take common terms, as follows:
f(x) = (2x² - x)(x² - 9),
or, f(x) = x(2x - 1)(x + 3)(x - 3).
This is the factored form of the given function, f.
The statement given to us is:
From left to right, function f has zeros at x = _, x = _, x = _, and x = _.
To find the zeroes of the function, we equate the factorized form to 0.
x(2x - 1)(x + 3)(x - 3) = 0.
By zero-product rule, the zeroes are at:
x = 0,
2x - 1 = 0, or, x = 1/2,
x + 3 = 0, or, x = -3,
x - 3 = , or, x = 3.
Arranging these in ascending order, the zeroes are at: -3, 0, 1/2, and 3.
Thus, the factorized form of the given function, f(x) = 2x⁴ - x³ - 18x² + 9x, is, f(x) = x(2x - 1)(x + 3)(x - 3), and the complete statement is, From left to right, function f has zeros at x = -3, x = 0, x = 1/2, and x = 3.
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For the complete question, refer to the attachment.
Answer: Edmentum/plato
Step-by-step explanation:
how many different digits are used in the hexadecimal number system?
Answer:16
Step-by-step explanation:
Help plzzzzzzz......
Answer:
A. England = 56000000
B. 1.046 * 10^7
C. 9.7 to 2sf
Step-by-step explanation:
A. England = 5.60*10000000
=56000000
B. Wale = 3.14*1000000 = 3140000
Scotland = 5.44*1000000 = 5440000
Northern Ireland = 1.88*1000000 =1880000
Total = 10460000
In standard form =1.046*10^7
C. Total population as at 2018 = 66460000
expected population by 2041 = 72900000
increase or change = (72900000 - 66460000) = 6440000
% change = (6440000/66460000)*100
= 0.0969003912 * 100
= 9.69003912
= 9.7 to 2sf
Tom woke up one morning and the temperature was −6° Celsius. The high temperature that day was 6° Celsius. What was the difference between the low temperature and the high temperature that day?
Answer:
12˚C
Step-by-step explanation:
If the high temperature is 6˚ and the low temperature is -6˚, the difference is
6˚-(-6˚)
=6˚+6˚
=12˚.
order the numbers from least to greatest
Answer:
can you give me points ??
Someone explain please
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
Is \(1-2x^{2}\) in standard form or factored form?
Answer:
standard form for a quadratic expression
Step-by-step explanation:
This is a quadratic expression. If you want this expression in standard form, write the terms in descending order of powers of x: -2x^2 + 1.
This -2x^2 + 1 has not yet been factored.
-2x^2 + 1 is in standard form.
a quadratic function f(x) is graphed in the xy-coordinate plane in which wuadrant eould the vertex of f (x+3)+2
Answer:
The vertex is located on the x-axis between the second and third quadrants
Step-by-step explanation:
Whereby the function is f(x) = (x + 3)², we have;
f(x) = (x + 3)² = x² + 6·x + 9
The vertex, (h, k), of the quadratic function given in general form, a·x² + b·x + c is found as follows;
h = -b/(2·a) and k = f(h)
Therefore by comparison of the given quadratic function and the general form of a quadratic function, we have;
a = 1, b = 6, c = 9
h = -6/(2 × 1) = -3
k = f(-3) = (-3)² + 6 × (-3) + 9 = 0
The vertex (h, k) = (-3, 0)
Therefore, the location of the vertex is on the x-axis axis between the second and the third quadrant.
-6x+4y=-18 -x-y=2 solve by subsitution
Point Form: (1, -3)
Equation Form: x = 1 , y = -3
helpp me asapp with this problem plss will crown brainiest !!!!
Answer:
see below
Step-by-step explanation:
Since RT bisects QRS
1/2 QRS = TRS
1/2 ( 9x+214) = -9x+53
Multiply each side by 2
9x +214 = -18x+ 106
Add 18x from each side
9x +214+18x = 106
27x +214 = 106
Subtract 214 from each side
27x = 106-214
27x =-108
Divide by 27
27x/27 = -108/27
x = -4
TRS = -9x+53
=-9 *-4 +53
= 36+ 53
=89
Answer:
x is -4.
TRS is 89.
Step-by-step explanation:
So we know that QR bisects QRS. By the definition of an angle bisector, this means that the adjacent angles are equivalent. In other words:
\(\angle QRT=\angle TRS\)
We are told that QRS is (9x+214). QRS is the sum of QRT and TRS. Thus:
\(\angle QRS=\angle QRT+\angle TRS\)
And since we now that QRT and TRS are equivalent, substitute:
\(\angle QRS=\angle TRS+\angle TRS\)
Combine like terms:
\(\angle QRS=2\angle TRS\)
Substitute them for their equations:
\(9x+214=2(-9x+53)\)
Now, solve for x. On the right, distribute:
\(9x+214=-18x+106\)
Add 18x to both sides:
\(27x+214=106\)
Subtract 214 from both sides:
\(27x=-108\)
Divide both sides by 27:
\(x=-4\)
So, the value of x is -4.
To find TRS, substitute x=-4 back into the equation. So:
\(\angle TRS=(-9(4))+53\)
Multiply and add:
\(\angle TRS=36+53=89\textdegree\)
And we're done!
In the xy-plane, what is the slope of the line tangent to the graph of x² + xy + y2 = 7 at the point (2,1)? -4/3 -5/4 -1 -4/5 -3/4
Therefore, the slope of the line tangent to the graph of x² + xy + y² = 7 at the point (2,1) is -5/4.
To find the slope of the line tangent to the graph of the equation x² + xy + y² = 7 at the point (2,1), we need to find the derivative of the equation with respect to x and evaluate it at that point.
Differentiating the equation implicitly with respect to x:
2x + y + x(dy/dx) + 2y(dy/dx) = 0
Rearranging and solving for dy/dx:
(dy/dx) = -(2x + y) / (x + 2y)
Substituting the coordinates of the point (2,1) into the derivative:
(dy/dx) = -(2(2) + 1) / (2 + 2(1))
(dy/dx) = -5 / 4
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Which algebraic expression is equivalent to the expression below? 6(4x + 5) + 11
Answer:
24x + 41
Step-by-step explanation:
Distribute the 6.
6(4x + 5) + 11 = 24x + 30 + 11
Now we just add the 30 and the 11 which are at the back of the expression.
24x + 30 + 11 = 24x + 41
Therefore the answer is 24x + 41. Please mark brainliest if possible and i hope you get a good grade on your homework
In how many ways can a team of 8 people be selected from 5 women and 10 men?
Answer:
6435 ways
Step-by-step explanation:
Since the order does not matter, it is a combination, also because they do not indicate how many men and how many women should be in the group of 8, which means that it would be the ways of putting together a group of 8 with 15 people (10 men + 5 women)
That is to say:
nCr = n! / (r! * (n-r)!)
n = 15, r = 8, replacing:
15C8 = 15! / (8! * (15-8)!)
15C8 = 6435
which means that there are 6435 ways to arm the group
Suppose that cell H15 is an output cell in a spreadsheet for which we have run a simulation. How could you compute the probability of that cell's value exceeding 500
By using 1-PsiTarget(H15, 500) we compute the probability of cell H15's value exceeding 500 in a spreadsheet simulation.
PsiTarget is a function commonly used in spreadsheet simulation software to calculate probabilities.
The first argument (H15) specifies the cell you want to calculate the probability for.
The second argument (500) represents the target value you want to compare against.
The PsiTarget function returns the probability of the cell's value being less than or equal to the target value.
By subtracting this probability from 1, you get the probability of the cell's value exceeding the target value.
Therefore, the correct formula to compute the probability of cell H15's value exceeding 500 is 1-PsiTarget(H15, 500).
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A fish tank holds 180 gallons of water and is leaking at a rate of 8 gallons per day. A second fish tank holds 160 gallons of water and is leaking at a rate of 6 gallons per day. At how many days will the two fish tanks have the same amount of water?
Answer:
10 days
Step-by-step explanation:
\(180 - 8x = 160 - 6x\)
subtract 160 from both sides and add 8x to both sides
\(20 = 2x\)
divide both sides by 2
\(x = 10\)
What’s the slope of the line?
the cost of a meal at a restaurant was $\$15$ before tax and tip. if the $7\%$ tax and an $18\%$ tip are each based solely upon the cost of the meal, what is the total cost in dollars of the meal, tax and tip? express your answer as a decimal to the nearest hundredth.
Total cost in dollars of the meal, tax and tips is $18.75
What is tip?Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.
What is the total cost in dollars?given, cost of meal = $15 before tax and tip
After that $7% tax and $18% tip are included upon the cost of meal
Now, cost for tax = $ (7/100 × 15) = $1.05
cost for tip = $ (18/100 × 15) =$2.7
Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip
Total cost = $18.75
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A professor tells his class that the mean score on their first exam was 50 (there is no possible maximum value). He announces that he will add 20 points to each student's score. What is the new mean after each student has received those extra 20 points
Answer:
It will add 20
Step-by-step explanation:
If the mean is 50, we can make the guess that maybe there are 10 children with all 50. If we add 20 then the mean becomes 70.
Write the ratio using fractional notation.
8 to 9
Answer:
Step-by-step explanation:
The GCF of 8 and 9 is 1
Divide both terms by the GCF, 1:
8 ÷ 1 = 8
9 ÷ 1 = 9
The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :
This ratio is already in lowest terms.
Therefore:
8 : 9 = 8 : 9
please help me :(
Any Maths Moderator:( please help me; I am in great trouble
Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4
Answer:
x=4
Step-by-step explanation:
\((2x-4)^{12}\) =\(16^{6}\)
2x-4=\(\sqrt[12]{16^{6} }\) =4
x=4
You deposit $300 in a savings account. The account earns 10% simple interest per year.
a. What is the interest earned after 8 years?
The interest earned is $? after 8 years.
b. What is the balance after 8 years?
The balance is $?
after 8 years.
Answer:
Step-by-step explanation:
The interest after 8 years is $240
The balance after 8 years is $540
Hope this helps!
Plz, Mark Brainliest!
The interest after 8 years is $240 and the balance after 8 years is $540.
What is Simple interest?Simple interest is calculated by multiplying the daily interest rate by the principal, by the number of days that elapse between payments.
Given that, You deposit $300 in a savings account. The account earns 10% simple interest per year.
SI = P*R*T/10
Where P = principal
R = rate
T = time
a) The interest earned after 8 years:-
SI = 300*10*8/100 = $240
b) The balance after 8 years:-
Amount = 300+240 = $540
Hence, The interest after 8 years is $240 and the balance after 8 years is $540.
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Build a deterministic FA M
3
for the following language L
3
=L(M
3
)={x over {a,b,c}∣x has strictly more than 3c symbols and does not end in c} For example, abcca ∈
/
L
3
and bacccc ∈
/
L
3
, but cccca ∈L
3
and acbcaaabcccb ∈L
3
.
The deterministic finite automaton (DFA) M3 for the language L3, where strings have more than 3 'c' symbols and do not end in 'c', is designed with states q0, q1, q2, q3, and q4. Transitions and loops are created to determine acceptance.
To build a deterministic finite automaton (DFA) for the language L3 = {x ∈ {a, b, c}* | x has strictly more than 3 'c' symbols and does not end in 'c'}, we can design the following DFA M3:1. Start with an initial state q0.
2. Create a loop on q0 for 'a', 'b', and 'c' inputs, leading back to q0.
3. From q0, transition to a state q1 on input 'c'. This represents the first 'c' encountered.
4. From q1, create a loop for 'a' and 'b' inputs, leading back to q1.
5. Transition from q1 to q2 on input 'c'. This represents the second 'c' encountered.
6. Similarly, create a loop on q2 for 'a' and 'b' inputs, leading back to q2.
7. Transition from q2 to q3 on input 'c'. This represents the third 'c' encountered.
8. From q3, create a loop for 'a', 'b', and 'c' inputs, leading back to q3.
9. Create a final accepting state q4 and transition from q3 to q4 on 'a' or 'b' inputs.
In this DFA, any string that ends with 'c' or has less than three 'c' symbols will not reach the accepting state q4, hence not belonging to L3.
Therefore, The deterministic finite automaton (DFA) M3 for the language L3, where strings have more than 3 'c' symbols and do not end in 'c', is designed with states q0, q1, q2, q3, and q4. Transitions and loops are created to determine acceptance.
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