Pls help need anwser urgently.Shelly has a number cube with the faces numbered 1 through 6. She will roll the number cube twice What is the probability Shelly's first roll is a 5 and her second roll is a 4?1) 1/36 2) 1/30 3) 1/84) 1/3
Answers
Prob( a 5) = 1/6
Prob( a 4) = 1/6
Related Questions
What number is equal to 2.8 - 4 ÷ 4? 02 03 O 14 O 15
Answers
Answer:
1.8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2.8 - 4 ÷ 4
Step 2: Evaluate
Division: 2.8 - 1Subtraction: 1.8Read the sentences below. Choose the correct option to show which sentence uses a colon correctly.
a) We’ve chosen two cities to visit London: and Paris.
b) We’ve chosen: two cities to visit London and Paris.
c) We’ve chosen two cities: to visit London and Paris.
d) We’ve chosen two cities to visit: London and Paris.
Answers
Answer:
d
Step-by-step explanation:
colons are used to list
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Compare negative one and six tenths repeating and negative five thirds using symbols <, >, or =. negative one and six tenths repeating is less than negative five thirds negative one and six tenths repeating is greater than negative five thirds negative five thirds is equal to negative one and six tenths repeating negative five thirds is greater than negative one and six tenths repeating
Answers
Answer:
-1 6/10
is greater than
- 5/3
Step-by-step explanation:
please answer need help
Answers
Evaluate log4 exponent 0.5
Answers
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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Which choices are equivalent to the expression below? Check all that apply.
5^8/5^5
A. 5^ 8-5
B. 5^ 3
C. 13/10
D. 125
E. 5^ 5-8
F. 40/25
Answers
Answer:
Answer is option a,b and d.
Step-by-step explanation:
Property of exponents:
\( \frac{ {a}^{m} }{ {b}^{n} } = {a}^{m - n} \)
in exponential growth functions the base of the exponent must be greater than 1.how would the function change if the base of the exponent were1? how would the function change if the base of the exponents were between 0 and 1
Answers
The sum of the measures of the interior angles is 1449°. How many sides does the polygon have?
Answers
The sum of the measures of the interior angles is, S = 1440.
The total sum of interior angles of a polygon might be related to its number of sides by the following formula:
\(S=(n-2)\times180\)Here, S is the total sum and n is the number of sides.
Therefore, the number of sides can be calculated as,
\(n=\frac{S}{180}+2\)Substituting for S, we get,
\(n=\frac{1440}{180}+2=8+2=10\)Thus, the number of sides is 10.
The interior angles of a polygon are in A.P. If the smallest angle is 100 o
and the common difference is 4 o
, find the number of sides ?
Answers
The polygon has 21 sides whose interior angle are in Arithmetic Progression (A.P.)
The interior angles of a polygon are in an arithmetic progression (A.P) if the difference between any two consecutive angles is constant. To find the number of sides in a polygon given its smallest angle and the common difference of its interior angles, we can use the formula:
n = (180° - smallest angle) / common difference + 1, where n is the number of sides in the polygon.
In this case, the smallest angle is 100° and the common difference is 4°, so the number of sides can be calculated as follows:
n = (180° - 100°) / 4° + 1 = (80°) / 4° + 1 = 20 + 1 = 21.
Therefore, the polygon has 21 sides. It is important to note that a polygon with 21 sides is called an icosikaihenagon, which is a highly unusual and exotic shape, as most polygons have a smaller number of sides.
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Max used 12 1⁄2 pounds of deli meat in one week at his sandwich shop. If he uses 1⁄4 of a pound of meat for each sandwich, how many sandwiches did he make with the deli meat?
Answers
Answer:
\(12 \frac{1}{2} \div \frac{1}{4} = x \\ 12.5 \div 0.25 = x \\ x = 50\)
Max made 50 sandwiches
on a piece of paper, graph y=x^2+x-6 and identify the y-intercept. Then determine which answer choice matches the graph and y-intercept that you drew.
Answers
Answer:
c
Step-by-step explanation:
C is the correct answer
A submarine located 75 feet below the surface of water begins to descend further at a rate of 8 feet per minute. The expression-75-8m represents the depth of submarine after each minute, m. Find the depth of the submarine after 5 minutes?
Answers
Answer:
115 feet below surface
Step-by-step explanation:
The starting depth of the submarine is 75 feet. Multiply 8ft.*5 to then get 40ft. Add 75ft to 40ft to get 115 ft.
What is the product?
5k/6 3/2k3
Answers
Answer:
5k^4/4
hope you get it correct! c:
Answer:
5
4K2
Step-by-step explanation:
Problem Situation: Ike has $126 in his bank account. He gets $20 for his birthday.
He also has a part-time job that pays $8 per hour. How many hours will he need to
work to have $250 in his bank account?
.
Answers
Answer: 13h
Step-by-step explanation:
126 + 20 = 146
250 - 146 = 104
104 : 8 = 13
He will need 13h
Answer:
13.5
126 plus 20 is $146
250 minus 146 is 108
108 divided by 8 is 13.5
Swornima is an unmarried nurse in a
hospital. Her monthly basic salary is Rs
48,000. She has to pay 1% social
security tax on her income up to Rs
5,00,000 and 10% income tax on Rs
5,00,001 to Rs 7,00.000. She gets 1
months' salary as the Dashain
allowance. She deposits 10% of her
basic salary in Citizen Investment Trust
(CIT) and gets 10% rebate on her
income tax. Answer the following
questions. (i) What is her annual
income? How much tax is rebated to
her? (iii) How much annual income tax
should she pay?
Answers
To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:
Monthly basic salary: Rs 48,000
Social security tax rate: 1%
Income tax rate on income up to Rs 5,00,000: 0% (no tax)
Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%
Dashain allowance: 1 month's salary
Deposit in Citizen Investment Trust (CIT): 10%
Rebate on income tax: 10%
(i) Annual Income:
Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:
Annual Basic Salary = Monthly Basic Salary x 12
= Rs 48,000 x 12
= Rs 5,76,000
Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:
Annual Income = Annual Basic Salary + Dashain Allowance
= Rs 5,76,000 + Rs 48,000
= Rs 6,24,000
Swornima's annual income is Rs 6,24,000.
(ii) Tax Rebate:
Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.
(iii) Annual Income Tax:
First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.
Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000
= Rs 1,24,000
Income Tax in this range = Taxable Income x Tax Rate
= Rs 1,24,000 x 0.1
= Rs 12,400
Now, let's calculate the total annual income tax:
Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000
= Rs 12,400
Next, we calculate the rebate on income tax:
Tax Rebate = Total Annual Income Tax x Rebate Rate
= Rs 12,400 x 0.1
= Rs 1,240
Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.
To summarize:
(i) Swornima's annual income is Rs 6,24,000.
(ii) Swornima's tax rebate is Rs 1,240.
(iii) Swornima should pay an annual income tax of R
PLEASE SOLVE THIS IM GIVING 40 POINTS
Answers
The coordinates of the point P lying between AB is found as (7, -2/5).
What is termed as the section formula?The Section formula is used to calculate the coordinates of a point that separates a line segment either internally or externally into a certain ratio. When a point separates a line segment in some ratio, we just use section formula to determine the coordinates of the that point.For the given question;
The two end coordinates are;
(x₁, y₁) = (8, 0)
(x₂, y₂) = (3, -2)
The ratio of the division is;
AP/PB = 1/4
OR
m:n = 1:4
The Formula for finding the coordinates of P for internally crossing is;
x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Put the values;
x = (mx₂ + nx₁)/(m + n)
x = (1×3 + 4×8)/(1 + 4)
x = (3 + 32)/5
x = 7
Now for y coordinates.
y = (my₂ + ny₁)/(m + n)
y = (1×(-2) + 4×0)/(1 + 4)
y = -2/5
Thus, the coordinates of the point P lying between AB is found as (7, -2/5).
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I need help on the Math HW. I don’t get how to get the answers.
Answers
Answer:
1
A= 34
B= 112
C= 34
Step-by-step explanation:
A and C are vertical angles so would have the same angle degree. The 112 and B are same side interior angles so have the same degree
A and 112 are opposite interior angles so they have to add up to 180.
So 180-112=68
then 68 divided by 2 to get both A and C
hope that made sense
c) Evaluate: 3√11x√2
Answers
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
if the x is inside the square root
Which is an advantage of using an ATM as opposed to a bank teller? Select all that apply.
24-hour access
greater number of locations
faster transactions
personal interactions
more types of services
Answers
The American customer satisfaction index scores of McDonalds restaurants grew from 61 in 2002 to 71 in the year 2014. Find the average rate of change for the data. Show work.
Answers
Answer:
\(\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}\)
Step-by-step explanation:
Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:
In order to solve for the average rate of change, we could simply use the average rate of change formula:
Average rate of change = Change in output/Change in input
\(\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}\)
Let (x₁, y₁) = (61, 2002)
(x₂, y₂) = (71, 2014)
Substitute these values into the average rate of change formula:
\(\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}\)
\(\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}\).
Architect Frank Lloyd Wright included a pool shaped like a right triangle in his design of Taliesin West in Scottsdale, Arizona. The sides of the pool that represent the legs measure 41 ft and 40 ft. Calculate the perimeter of the pool. Round the answer to the nearest foot.
A.
136 ft
B.
138 ft
C.
140 ft
D.
144 ft
Answers
Answer:
B
Step-by-step explanation:
41 + 40 + 57.28 ft, 138.28 ft.
To find the area of △KNM, the length of the base, segment MK, is 2b, and the height is a. So an expression for the area of △KNM is
Answers
An expression for the area of △KNM is = 1/2 x 2b x a
Given,
In the question:
In triangle KNM ;
The length of the base (MK) = 2b
and, height of the triangle is= a
To write an expression for the area of △KNM .
Now, According to the question:
We know that :
Area of triangle is = 1/2 x base x height
The length of the base (MK) = 2b
and, height of the triangle is= a
Plug all the values in the area of triangle :
Here, Area of triangle is = 1/2 x 2b x a
Hence, An expression for the area of △KNM is = 1/2 x 2b x a.
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Express the solution graphically of 1/4 (x-3) ≤ -2
Answers
Answer:
Step-by-step explanation:
x = 5
Solution of 1/4 (x-3) ≤ -2 is x ≤ 5 . The value of x will be less than or equal to 5 .
Graph is attached below.
Given,
1/4 (x-3) ≤ -2
Now,
Inequality : 1/4 (x-3) ≤ -2
Solve for x,
x - 3 ≤ -8
Take -3 from LHS to RHS.
-3 will be converted to 3 in RHS .
x ≤ -8 + 3
x≤ -5
The value of x will be less than or equal to -5.
The graph of inequality is attached below and represents the the value of x is less than or equal to 5 .
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The fitness center needs $125,000 in five years for more workout machines. Find the total interest earned if payments are made at the end of each quarter with interest at 6% compounded quarterly.
Answers
Answer:
$38,562.5
Step-by-step explanation
Using the compound interest formula
A = P(1+r/n)^nt
P is the principal = $125,000
r is the rate = 6% = 0.06
time t = 5years
n = 0.25 (quarterly payment)
Substitute
A = 125000(1+0.06/0.25)^5(0.25)
A = 125000(1+ 0.24)^1.25
A = 125000(1.24)^1.25
A = 125000(1.3085)
A = 163,562.5
Hence the interest earned = 163,562.5 - 125000
interest earned = $38,562.5
3.Rhombi have 4 sides that are congruent.
True
O
False
Answers
Answer:
true
Step-by-step explanation:
-9 = 1/3m + 6
SHOW WORK.
Answers
Step-by-step explanation:
Sorry its messy but if you cant understand tell me
What is the difference between a copyright and a trademark, and how are they used to protect intellectual property?
Answers
Answer: Copyright protects original work, whereas a trademark protects items that distinguish or identify a particular business from another.
The trademark laws protect the product or service name and any slogans used in the advertising, while the copyright laws protect the additional creative written expression contained in the ad. Hope this helps!
Step-by-step explanation:
An annual gross income of $56,262 is taxed at a rate of 20.2%. Find the annual net income. Round your answer to the nearest cent.
Answers
Let's begin by listing out the information given to us
Annual gross income = $56,262
Tax rate = 20.2%
Annual net income = Annual gross income - (Annual gross income * Tax rate)
Annual net income = 56,262 - (56262 * 0.202) = 56262 - 11,364.924
Annual net income = 44,897.076
Annual net income = $44,897.08
solve for x if;
log(3×+1) +log(1/2)+log(2×+5)=0
Answers
Answer:x=- 17-root 217/12
Step-by-step explanation:
the answer is x=17
Step-by-step explanation:
I just did it
A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
Answers
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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