Instead of using the values {1, 2, 3, 4, 5, 6} on dice, suppose a pair of dice have the following {1, 2, 2, 3, 3, 4} on one die and {1, 3, 4, 5, 6, 8} on the other. Find the probability of rolling the sum of 7 with these dice. Be sure to reduce.
The dice will show a sum of 7 if you roll
• 1 and 6
• 2 and 5 (2 ways)
• 3 and 4 (3 ways)
so there are 6 ways of rolling a sum of 7. Out of 6 × 6 = 36 possible outcomes, the probability of rolling a sum of 7 is 6/36 = 1/6.
A company which employs 10 unskilled and 8 skilled workers produce two models of a toy, Model A and Model B. • Model A requires 20 hours of unskilled labour while Model B requires 15 hours of unskilled labour • Model A requires 10 hours of skilled labour while Model B requires 25 hours of skilled labour Each worker provides 40 hours of labour per week. (a) Calculate the maximum number of hours available per week for (i) unskilled labour
The Maximum number of hours available for unskilled labour
= 400 hours
Maximum number of hours available for skilled labour be, = 320 hours
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
The company employs 10 unskilled workers and each worker provides 40 hours of labour per week.
The company also employs 8 skilled workers and each worker provides 40 hours of labour per week.
Maximum number of hours available for unskilled labour be,
= 40 × 10
= 400 hours
Maximum number of hours available for skilled labour be,
= 40 × 8
= 320 hours
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30. The average of a list of 4 numbers is 92.0. A new list
of 4 numbers has the same first 3 numbers as the
original list, but the fourth number in the original list
is 40, and the fourth number in the new list is 48. What
is the average of this new list of numbers?
F. 81.0
G. 92.0
H. 94.0
J. 94.4
K. 96.6
Answer:
H. 94.0
Explanation:
The original list: [tex]a _1[/tex] [tex]a _2[/tex] [tex]a _3[/tex] [tex]40[/tex]
The new list: [tex]a_1[/tex] [tex]a_2[/tex] [tex]a_3[/tex] [tex]48[/tex]
[tex]\frac{a_1+a_2+a_3+40}{4} =92[/tex]
[tex]a_1+a_2+a_3=92[/tex] × [tex]4-40=328[/tex]
[tex]\frac{a_1+a_2+a_3+48}{4} =\frac{328+48}{4} =94[/tex]
Find the value of X express your answer in simplest radical form.
[tex]\text{Apply Pythagorean theorem,}\\ \\~~~~~~~x^2 = 25^2 +75^2\\\\\implies x =\sqrt{25^2 +75^2}\\ \\\implies x = \sqrt{625+5625}\\\\\implies x = \sqrt{6250}\\\\\implies x =\sqrt{625 \times 10}\\\\\implies x = \sqrt{25^2 \times 10}\\\\\implies x = 25\sqrt{10}[/tex]
(128 ÷ 32) ÷ -4?
tysm for de help :D
Answer:
-1
Step-by-step explanation:
(128 ÷ 32) ÷ -4?
Alright, first things first lets think about PEMDAS.
Parenthesis first so 128/32 is 4!
4/-4 is going to be -1!
Your answer will be -1
Hope this helps!
The graph shows the solution to a system of equations. What is that solution?
A)
(–2,2)
B)
(2,2)
C)
(–2,–2)
D)
(2,–2)
Answer:
A, (-2,2)
Step-by-step explanation:
Evaluate what is the answer to
3.4
+
5.14
Evaluate h(x)=-2x+9 when x=-2,0, and 5 .
h(-2)=
h(0)=
h (5)=
Answer:
The answer is 13, 9 and (-1)
Step-by-step explanation:
Given;h(x) = (-2x + 9)To Find;h(x) = (-2x + 9) when x = (-2), 0 and 5.For x = (-2)
h(x) = (-2x + 9)
h(-2) = [-2(-2) + 9]
h(-2) = (4 + 9)
h(-2) = 13
For x = 0
h(x) = (-2x + 9)
h(0) = [-2(0) + 9]
h(0) = (0 + 9)
h(0) = 9
For x = 5
h(x) = (-2x + 9)
h(5) = [-2(5) + 9]
h(5) = [(-10) + 9]
h(5) = (-1)
Thus, The answer is 13, 9 and (-1) when x = (-2), 0 and 5 respectively.
Janay cut a drinking straw into three pieces (shown below) to investigate a triangle postulate. He moves the straw pieces to make triangles that have been translated, rotated, and reflected from an original position. The end of one piece is always touching the end of another piece. Which postulate could Zhan be investigating using only these straw pieces and no other tools?
Answer:
B. If three sides of one triangle are congruent to three sides of a second triangle then, the triangles are congruent.
The prices of bicycles at two stores are shown. Bikeville: 140, 160, 800, 235, 250, 450, 80, 115, 220, 250, 96, 290, 150 Discount Bicycles: 50, 180, 300, 110, 120, 150, 155, 285, 120, 200, 70, 175, 95
Sketch box plots to represent the prices of the bicycles.
Identify the five key values of each store’s prices.
Compare the two box plots.
Answer:
1. unknow
2. mean median range spread average
3. the bike Ville is more expensive in everything
Using Average, the prices of bicycles at two stores are compared.
What is average?Average is the" sum of observations divided by total number of observations".
According to the question,
The price of bicycles at two stores are shown.
Bikeville: 140 160 800 235 250 450 80 115 220 250 96 290
Discount Bicycles: 50 180 300 110 120 150 155 285 120 200 70 175 95
Average of bikeville = [tex]\frac{sum of observations}{Total number of observation}[/tex]
= 140 + 160 + 800 + 235 + 250 + 450 + 80 + 115 + 220+250+96+29
= 3086
Average of bikeville= 3086/12
= 257.167
Average of Discount of bicycles:
( 50 +180+100+110+120+150+155+285+
120+150+155+285+120+200+70+175+95) =2720
= 2720/15
=181.33
Average of Discount of bicycles is 181.33.
Hence, using Average the prices of bicycles at two stores are compared.
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What angles are coterminal to an angle measuring 2π3 or −11π7?
By definition of coterminal angles, the angle 2π/3 has two coterminal angles: θ' = 14π/3 and θ' = - 4π/3. The angle - 11π/7 has no coterminal angles.
How to find coterminal angles
Two angles are coterminal when their terminal ends have the same direction. By the fact that two consecutive coterminal angles have a difference of 2π, we find the following definition:
θ' = θ ± 2π · i, i ∈ [tex]\mathbb{N}_{O}[/tex] (1)
Now we proceed to determine the coterminal angles for each case:
a) θ = 2π/3
θ' = 14π/3, θ' = - 4π/3
b) θ = - 11π/7
There are no coterminal angles.
By definition of coterminal angles, the angle 2π/3 has two coterminal angles: θ' = 14π/3 and θ' = - 4π/3. The angle - 11π/7 has no coterminal angles.
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A certain commercial jet plane uses a mean of 0.15 gallons of fuel per passenger-mile, with a standard deviation of 0.01 gallons. Find the mean number of gallons the plane uses to fly 8000 miles if it carries 210 passengers.
Answer:
I do not know I am very sorry brother now begone
a
0) Chelsea invests $4,734 in a savings
account with a fixed annual interest rate of
4.02% compounded 4 times per year.
What will the account balance be after 12
years?
A) $7,962.65 B) $8,625.82
C) $8,287.61 D) $7,650.44
Answer:
$7650.44
Step-by-step explanation:
Annual interest rate = 4.02%
but compound 4 times per year, means quarterly compound
quarterly interest rate = 4.02%/4 = 1.005%
Account balance = 4734 * (1.01005)^48 [compound 4 times a year for 12 years]
= 4734 * 1.616
= 7650.44
Answer:
D) $7,650.44
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $4,734r = 4.02% = 0.0402n = 4 (quarterly)t = 12 yearsSubstituting the given values into the formula and solving for A:
[tex]\large \text{$ \sf \implies 4734\left(1+\frac{0.0402}{4}\right)^{4 \times 12} =7650.435473$}[/tex]
answer the question then, I will award you with a answer to your question!
Answers: 585, 587, and 593
Basically everything except 599
==============================================================
Why?
Those answers in bold are closer to 590 than they are to 580 or 600. When rounding to the nearest ten (not tenth) we look at the units digit. If it is 5 or larger, then we bump the tens digit up by 1 and replace the units digit with a 0.
This explains why 585 and 587 round to 590
The number 599 rounds to 600 for similar reasoning, but we cross it off the list since we want 590.
The number 593 rounds to 590 because the 3 in the units digit isn't 5 or larger. So we just replace the 3 with 0 and keep everything else as is.
PLESSE HELP IM FAILING MATH RN
Graph the following features:
Slope = -3
Y-intercept = 5
Answer:
y=-3x+5
Step-by-step explanation:
what is the decimal equvalent of 5/6
Answer:
0.833
Step-by-step explanation:
Name the largest and the smallest angle
Is this triangle acute, right, or obtuse?
acute
right
obtuse
Answer:
right triangle
Step-by-step explanation:
it has a 90 degree sign by the base of the triangle
Which expression can be used to find 532 divided by 4?
A: (500 divided by 4)+(30 divided by 4)
B: (500 divided by 4)+(32 divided by 4)
C: (500 divided by 4)+(30 divided by 4)+2
D: (500 divided by 4)+(32 divided by 4)+2
C: (500 divided by 4)+(30 divided by 4)+2
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 532 ÷ 4 in expanded notation form is (500 divided by 4)+(30 divided by 4)+2
Is there any bias in the survey question? Explain.
What do you think would help students pay more attention in class?
SOMEONE PLEASE HELP!!!
Answer:
yes
Step-by-step explanation:
because everyone has a different method that works for them.
but then again it uses the pronoun you which means its asking for your opinion its not phrased
what would help študents pay more attention in class
so yes and no
The longest straw that can fit inside a 5-inch cylindrical cupm if the straw is placed at the angle in the cup, is 6- inches.
what is the approximate length of the cylinder's radius?
Since the straw is 6 inches long, the approximate length of the cylinder's radius is 3.32 in
To find the radius of the cylinder, we need to apply Pythagoras' theorem.
What is Pythagoras' theorem?Pythagoras' theorem states that in any right-angled triangle, the square of the hypotenuse side equals the sum of the squares of the other two sides.
Mathematically, c² = a² + b² where
c = hypotenusea and b = other sides.Now, since the 6 inch straw inclined at an angle forms a right angle with the radius,r and length of the cylinder, h.
Since the length of the straw is the hypotenuse side, L we have that
L² = h² + r²
Radius of the cylinderMaking r the radius of the cylinder subject of the formula, we have
r = √(L² - h²)
Given that
L = 6 in and h = 5 inSubstituting the values of the variables into the equation,we have
r = √(L² - h²)
r = √(6² - 5²)
r = √(36 - 25)
r = √11
r = 3.316 in
r ≅ 3.32 in
So, the approximate length of the cylinder's radius is 3.32 in
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pls solve and show steps!
Answer:
? Not a solution
Step-by-step explanation:
<
Translate the sentence into an equation.
The sum of 5 times a number and 6 is 9.
Use the variable y for the unknown number.
Answer:
5y + 6 = 9
Step-by-step explanation:
If you want to take it a step further and solve it:
5y = 3
y = 3/5
Suppose E is an event whose probability of occurring is
2
3
. What is the probability that E will NOT occur?
A) -
2
3
B) -
3
2
C)
1
2
D)
1
3
sorry the nubers are fractions
Answer:
D. 1/3
Step-by-step explanation:
Answer:
A 1/3
Step-by-step explanation:
Event e either will take place or not. The probability that it'll take place is already given as 2/3.this means that 1/3 is the probability that it won't take place
Wht is the range of g?
Answer:
D
Step-by-step explanation:
Range = Y coordinats of a the points
Determine the solubility for cuc2o4(s) in pure water. Ksp for is 2. 9 × 10^-8
Based on the elements and charges in Copper (II) Oxalate, CuC₂O₄(s), the solubility in pure water is 1.7 x 10⁻⁴ M.
What is the solubility of Copper (II) Oxalate in pure water?The solubility equilibrium (Ksp) is 2.9 x 10⁻⁸ so the solubility can be found as:
Ksp = [Cu²⁺] [C₂O₄²⁻]
Solving gives:
2.9 x 10⁻⁸ = S x S
S² = 2.9 x 10⁻⁸
S = 1.7 x 10⁻⁴ M
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The value of solubility for cuc2o4(s) in pure water when the value of solubility product, Ksp for it is 2.9 ×10⁻⁸, is 1.703 × 10⁻⁴.
What is solubility?The solubility of a chemical compound or an element is the property or ability of it to be dissolved, specially in water.
The solubility for CuC₂O₄(s) in pure water has to be found out. The solubility product is,
[tex]K_{sp}=2. 9 \times 10^{-8}[/tex]
Let suppose x is the molar solubility of CuC₂O₄(s). From the ICE approach solution,
[tex]K_{sp}=x^2\\2. 9 \times 10^{-8}=x^2\\x=\sqrt{2. 9 \times 10^{-8}}\\x=1.703 \times 10^{-4}\rm\; M[/tex]
Thus, the value of solubility for cuc2o4(s) in pure water when the value of solubility product, Ksp for it is 2.9 ×10⁻⁸, is 1.703 × 10⁻⁴.
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Solve for x.
4(5+x) = 2x + 2
3
Please help me
Step-by-step explanation:
4(5 + x) = 2x + 2
that is my understanding of the given problem.
if you made a typo, please adapt the following solution.
4×5 + 4×x = 2x + 2
20 + 4x = 2x + 2
20 + 2x = 2
2x = -18
x = -9
50 hours total 20 spent joggin what % is that
Answer:
40%
Step-by-step explanation:
Total hours = 50Hours spent on jogging = 20Jogging percentage =[tex]\frac{20}{50}\times 100[/tex]Jogging percentage = 40%solve the equations:
1.) 8x-3=7
2.) 5+7x=24
3.) 5=6+4x
Hi Student!
Usually the first step that I take for any problem would be to gather any important information that would be needed in the problem. However, for this problem, it is pretty straight forward because we just need to solve for the unknown which is x.
Add 3 to both sides
[tex]8x - 3 = 7[/tex][tex]8x - 3 + 3 = 7 + 3[/tex][tex]8x = 10[/tex]Divide 8 from both sides
[tex]\frac{8x}{8} = \frac{10}{8}[/tex][tex]x = \frac{10}{8}[/tex][tex]x = 1.25[/tex]For the first equation, we were able to solve for x and get that the solution for the unknown is 1.25
Subtract 5 from both sides
[tex]5+7x=24[/tex][tex]5 - 5+7x=24- 5[/tex][tex]7x=19[/tex]Divide both sides by 7
[tex]\frac{7x}{7}=\frac{19}{7}[/tex][tex]x=\frac{19}{7}[/tex]For the second equation, we are able to solve for x and get that the solution for the unknown is 19/7
Subtract 6 from both sides
[tex]5=6+4x[/tex][tex]5-6=6-6+4x[/tex][tex]-1=4x[/tex]Divide both sides by 4
[tex]\frac{-1}{4}=\frac{4x}{4}[/tex][tex]\frac{-1}{4}=x[/tex][tex]-0.25=x[/tex]For the final equation, we are able to solve for x and get that the solution for the unknown is -0.25
Answer:
1) [tex]x=\frac{5}{4}=1\frac{1}{4}[/tex]
2) [tex]x=\frac{19}{7}=2\frac{5}{7}[/tex]
3) [tex]x=-\frac{1}{4}[/tex]
Step-by-step explanation:
1) 8x - 3 = 7
1. Group all constants on the right side of the equation
[tex]8x-3=7[/tex]
Add 3 to both sides:
[tex]8x-3+3=7+3[/tex]
Simplify the arithmetic:
[tex]8x=7+3[/tex]
Simplify the arithmetic:
[tex]8x=10[/tex]
2. Isolate the x
[tex]8x=10[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{10}{8}[/tex]
Simplify the fraction:
[tex]x=\frac{10}{8}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]x=\frac{5\cdot 2}{4\cdot 2}[/tex]
Factor out and cancel the greatest common factor:
[tex]x=\frac{5}{4}[/tex]
2) 5 + 7x = 24
1. Group all constants on the right side of the equation.
[tex]5+7x=24[/tex]
Subtract 5 from both sides:
[tex]5+7x-5=24-5[/tex]
Group like terms:
[tex]7x+5-5=24-5[/tex]
Simplify the arithmetic:
[tex]7x=24-5[/tex]
Simplify the arithmetic:
[tex]7x=19[/tex]
2. Isolate the x
[tex]7x=19[/tex]
Divide both sides by 7:
[tex]\frac{7x}{7}=\frac{19}{7}[/tex]
Simplify the fraction:
[tex]x=\frac{19}{7}[/tex]
3) 5 = 6 + 4x
1. Swap sides
[tex]5=6+4x[/tex]
Swap sides:
[tex]6+4x=5[/tex]
2. Group all constants on the right side of the equation
[tex]6+4x=5[/tex]
Subtract 6 from both sides:
[tex]6+4x-6=5-6[/tex]
Group like terms:
[tex]4x+6-6=5-6[/tex]
Simplify the arithmetic:
[tex]4x=5-6[/tex]
Simplify the arithmetic:
[tex]4x=-1[/tex]
3. Isolate the x
[tex]4x=-1[/tex]
Divide both sides by 4:
[tex]\frac{4x}{4}=\frac{-1}{4}[/tex]
Simplify the fraction:
[tex]x=\frac{-1}{4}[/tex]
----------------------
Why learn this:
Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
---------------------
Terms and topics
Linear equations with one unknownThe most common use of linear equations is to solve problems involving an unknown variable, generally (but not always) x, and a known constant.
Solving linear equations requires isolating the unknown variable on one side of the equation and simplifying the remainder. Anything done to one side of the equation must also be done to the other when simplifying.
An equation of:
[tex]ax+b=0[/tex]
A typical linear equation with one unknown is in which a and b are constants and x is the unknown variable. In this case, we would isolate x by removing b from both sides of the equation before solving for it. We'd then multiply both sides of the equation by a, yielding the following result:
[tex]x = -\frac{b}{a}[/tex]
-------------------
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