The probability of not getting a '3' when a fair die is rolled four times, rounded to the nearest thousandth, is approximately 0.482.
Explanation:In a fair die, the probability of getting any one number, such as a 3, is 1/6 because a die has 6 possible outcomes (1 through 6). So, the probability of not getting a 3 is 5/6. If the die is rolled four times, the probability of not getting a 3 on each roll is (5/6)^4. To find this, multiply 5/6 by itself 4 times. The result is approximately 0.482, or rounded to the nearest thousandth, 0.482. So, "the probability of not getting a 3 on four rolls of a die to the nearest thousandth is 0.482."
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Anyone know the answer to these?
Step-by-step explanation:
Speakers =£ 31.5
Headphones =£ 4.8
Book =£ 3.85
Mobile phone =£ 36
mouse = £12.75
DVD =£ 10.2
Hope it will help you :)
Which answer shows 0.05 written in scientific notation?
0.5 times 10 Superscript negative 1
5 times 10 Superscript negative 2
5 times 10 Superscript negative 1
5 times 10 Superscript 2
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
If you have a negative exponent its like you divide it
10^-2 = 0.01 then multiply it by 5 = 0.01 x 5 = 0.05
Find the angle between u = (8,-2) and v = (19,3). Round to the nearest tenth of a degree.
A. 32.5
B. 6.3
C. 42.5
D. 16.3
max and some friends shared the cost of a meal. The meal cost $51 and each person contributes $17. How many people share the cost meal?
Answer:
3 people
Step-by-step explanation:
$51/$17 = 3 people
- We know to start with $51 dollars because that is the total price of the meal.
- We also know each meal costs $17.
- Next, ask youself what we are trying to find? We are trying to find how many people are eating.
- Therefore to find that we need to take our starting amount $51 divided by $17 because that is the cost of 1 meal.
- $51/$17 = 3 people (whole cost/individual cost = # of people)
- To check this take 3 x 17 = 51 (Now we know it is correct)
- If you would like a further explanation please let me know.
Find the quotient
4 / 9/10
Answer:
4 × 10/9 = 40/9 is the solution
A box contains four equal sized cards labeled 1, 3,5, and 7. Tim will select one card from the bow. What is the probability that Tim will select a card labeled 4?
Answer: The probability is zero.
Step-by-step explanation:
The labels on the 4 cards are 1, 3, 5 and 7. Because the cards are equal, the probability of dragging at random each one of them is equal to 1/4 = 0.25.
Now, the probability that Tim selects a card labeled with a 4 is equal to the number of cards labeled with a 4, divided the total number of cards.
We do not have cards labeled with a 4, so the probability is:
p = 0/4 = 0
because we do not have any card labeled with a 4, the probability of selecting one at random is equal to zero.
Final Answer:
The probability is zero.
Explanation:
The labels on the 4 cards are 1, 3, 5 and 7. Because the cards are equal, the probability of dragging at random each one of them is equal to 1/4 = 0.25.
Now, the probability that Tim selects a card labeled with a 4 is equal to the number of cards labeled with a 4, divided the total number of cards.
We do not have cards labeled with a 4, so the probability is:
p = 0/4 = 0
because we do not have any card labeled with a 4, the probability of selecting one at random is equal to zero.
Aidan works a different number of hours each week, depending on whether he is needed or not. For the last nine weeks, he has worked the following number of hours.
1, 3, 1, 1, 4, 5, 8, 6, 5
Which measure of central tendency would be the most effective for Aidan to use if he wants to demonstrate to his supervisor that he hasn't worked very many hours recently?
Answers
mean
median
mode
Answer:
Mean (Average) 3.7777777777778
Median 4
Range 7
Mode 1, appeared 3 times
Geometric Mean 2.8976123026694
Largest 8
Smallest 1
Sum 34
Count 9
Step-by-step explanation:
Im bored so i gave you everything
help find perimeter and area
Answer: perimeter = 96mm, Area = 564mm².
Step-by-step explanation:
From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x
Therefore,
25² = ײ + 7²
625 = x² + 49
x² = 625 - 49
x² = 576
x. = √576
= 24.
Now the perimeter
= 20 + 25 + 7 + 20 + 24
= 96mm.
Area of the figure will be
= 1/2( a + b )h
Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values
( 20 + 27) x 24
---------------------
2
= 47 x 24/2
= 47 x 12
= 564mm²
Jeff owns a coffee shop near a commercial zone. He used to pay $10 per hour to his employees. During the last year he opened three coffee shops in that same area. He could afford to do so because of the low wages. However, Jeff is now paying $15 per hour to his employees. Answer the following questions based on the supply and demand schedule of labor.
Who creates the demand for coffee shops? Who creates the demand for coffee shop employees?
Answer:
The consumers in that commercial area create the demand for coffee shops. However, Jeff is the consumer for coffee shop employees.
Step-by-step explanation:
The consumers in that commercial area create the demand for coffee shops.
Jeff creates the demand for coffee shop employees.
What is demand?Demand is an economic term that refers to the number of products or services that consumers wish to purchase at any given price level. The mere desire of a consumer for a product is not demand. Demand includes the purchasing power of the consumer to acquire a given product at a given period.
What is supply?Supply is the number of goods an individual or business provides to the market which refers to the amount they produce at a specific point in time. For example, if Apple manufactures 100 iPhones, then this is the supply that is brought to the market.
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If Jacob owns 12 books, how many different ways can he arrange 3 of these books on a single bookshelf
Final answer:
To find the number of different ways Jacob can arrange 3 books on a single bookshelf out of 12 books, we use the concept of permutations. The number of arrangements is 1320.
Explanation:
To find the number of different ways Jacob can arrange 3 books on a single bookshelf out of 12 books, we use the concept of permutations. Permutations calculate the number of ways to arrange objects in a specific order. In this case, we need to find the number of permutations of 3 books out of 12, which can be calculated using the formula:
P(n, r) = n! / (n - r)!
Where n is the total number of books (12) and r is the number of books to be arranged (3).
Substituting the values into the formula, we get:
P(12, 3) = 12! / (12 - 3)! = 12! / 9!
Calculating the factorial, we have:
12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 479,001,600
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880
Now, dividing the factorial values, we can calculate the number of arrangements:
P(12, 3) = 479,001,600 / 362,880 = 1320
Therefore, Jacob can arrange 3 books on a single bookshelf in 1320 different ways.
Which pair show equivalent expressions
A section of a rectangular floor is covered with square floor tiles as shown below
Answer:
[tex]\frac{20}{9}[/tex] square feet
Step-by-step explanation:
We are given that
Side of square tile=[tex]\frac{1}{3} foot[/tex]
Total number of tiles used in rectangular floor=20
Area of square=[tex](Side)^2[/tex]
Area of square tile=[tex](\frac{1}{3})^2=\frac{1}{9}[/tex]square feet
Area of rectangular floor covered by square tiles =Area of 20 square tiles
Area of rectangular floor covered by square tiles=[tex]20\times \frac{1}{9}[/tex] square feet
Area of rectangular floor covered by square tiles=[tex]\frac{20}{9}[/tex] square feet
Hence, the area of rectangular floor covered by square tiles=[tex]\frac{20}{9}[/tex] square feet
Casey wants to buy a gym membership. Gym A has a $50 joining fee & costs $40 per month. Gym B has no joining fee & cost $65 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?
Answer:
1; after 2 months
2; $130
Step-by-step explanation:
In this question, we are trying to compare the fees to be paid in two different gyms, to determine when the amount paid would be equal and also what this amount would be.
Now since we do not know the exact number of months, we can represent this unknown by x
so mathematically, at the end of m months, at the first gym , Casey would have paid a total of 50 + 40m
For the second gym, at the end of the second month, casey would have paid a total of 65m only
now we need to know when these fees would be the same. we simply equate what we have on both ends
mathematically, that is 50 + 40m = 65m
65m-40m = 50
25m = 50
m = 50/25
m = 2 months
The fees to be paid is
50 + 40(2) = 65(2) = $130
A scatterplot is produced to compare the size of a school building to the number of students at that school who play an instrument. There are 12 data points, each representing a different school. The points are widely dispersed on the scatterplot without a pattern of grouping. Which statement could be true?
Answer:
As the size of a school building increases, the number of student musicians increases because the scatterplot has a cluster that increases from left to right.
Step-by-step explanation:
Answer:
a is the answer
Step-by-step explanation:
A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters per second. At a certain instant, the car is 24 meters from the intersection. What is the rate of change of the distance between the car and the person at that instant (in meters per second)?
Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²
[tex]\Rightarrow y=\sqrt{x^2+100}[/tex]
Differentiating with respect to t
[tex]\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}[/tex]
[tex]\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}[/tex]
Since the car driving towards the intersection at 13 m/s.
so,[tex]\frac{dx}{dt}=-13[/tex]
[tex]\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)[/tex]
Now
[tex]\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)[/tex]
[tex]=\frac{24\times (-13)}{\sqrt{676}}[/tex]
[tex]=\frac{24\times (-13)}{26}[/tex]
= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
The rate of change of the distance between the car and the person is [tex]\(-\frac{65}{12}\)[/tex] meters per second, indicating decreasing distance.
To find the rate of change of the distance between the car and the person at the given instant, we can use the concept of related rates. We'll use the Pythagorean theorem to relate the distances involved.
Step 1:
Establish variables.
Let (x) represent the distance the car has traveled north from the intersection, and let (y) represent the distance between the car and the person.
Step 2:
Formulate the equation using the Pythagorean theorem.
[tex]\[x^2 + y^2 = 24^2\][/tex]
Step 3:
Differentiate both sides of the equation with respect to time.
[tex]\[2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 0\][/tex]
Step 4:
Plug in the given values and solve for [tex]\(\frac{dy}{dt}\)[/tex].
Given that the car is traveling north, [tex]\(\frac{dx}{dt} = 13\)[/tex]m/s.
When the car is 10 meters east, [tex]\(x = 10\).[/tex]
At that instant, when the car is 24 meters from the intersection, [tex]\(y = 24\).[/tex]
[tex]\[2(10)(13) + 2(24)\frac{dy}{dt} = 0\]\[260 + 48\frac{dy}{dt} = 0\]\[\frac{dy}{dt} = -\frac{260}{48} = -\frac{65}{12}\][/tex]
The rate of change of the distance between the car and the person at that instant is [tex]\(\boxed{-\frac{65}{12}}\)[/tex] meters per second. The negative sign indicates that the distance is decreasing.
HELP I NEED HELP ASAP!!
WHAT IS THE VOLUME OF THE CUBE SHOWN?
I WILL GIVE LOTS OF POINT TO THE ONE WHO GIVES THE CORRECT ANSWER!!
Answer:
8/125 ft
Step-by-step explanation:2/5 x 2/5 x 2/5 = 8/125
Answer:
The answer to your question is Volume of a cube = 8/125 ft³
Step-by-step explanation:
Data
length of a side = 2/5 ft
Formula
Volume of a cube = side x side x side
Substitution
Volume of a cube = 2/5 x 2/5 x 2/5
-Just multiply the numerator and multiply the denominators
-Simplification
The Volume of a cube = 8/125 ft³
Help pls I need this
Write a function rule for “The output is 6 greater than three times the input.” Use x for the independent variable and y for the dependent variable.
Answer:
y = 6+3x
Step-by-step explanation:
If y = f(x), it means y is depending on x. This shows that y is the independent variable and x is the dependent variable.
y variable will be the output depending on the input variable x.
According to the function rule, “The output is 6 greater than three times the input." This can be expressed mathematically as 3x+6 (x being the input)
Three times the input = 3x
6 greater than three times the input = 6+3x
Since y is output then;
y = 6+3x
The function rule is [tex]\boldsymbol{y=6+3x}[/tex].
Function RuleA function rule is an equation that represents the relationship of the dependent and independent variables.
[tex]\boldsymbol{x}[/tex] is the independent variable.
[tex]\boldsymbol{y}[/tex] is the dependent variable.
The output is [tex]6[/tex] greater than three times the input.
[tex]y=6+3x[/tex].
So, the function rule is [tex]\boldsymbol{y=6+3x}[/tex].
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Solve this equation for x. 2x² + 122 – 7= 0
2rº + 12z - 7 = 0
Step 1: What is the first step to solve this equation?
O Combine like terms.
O Factor the trinomial.
Isolate the constant term by adding 7 to both sides
of the equation.
Check
Intro
Answer:
Combine like terms is the first step.
Step-by-step explanation:
Subtract '122-7' on both sides and that gives you [tex]2x^2=-115[/tex]
Pablo buys a 4 pack of towels for $19.60 .
Find the unit price in dollars per towel.
If necessary, round your answer to the nearest cent.
Answer:
$4.90 per towel
Step-by-step explanation
If each towel costs and equal amount, you divide the full amount of the pack, $19.60, by the number of towels, which is 4, which gives you $4.90 as the answer.
I need to know what 2+2 is
Answer:
The answer for this question is 4.
Step-by-step explanation:
2+2=4
Recall that h, the phase shift, is any value of x that occurs at the beginning of a cycle.
The green point begins the –cosine cycle. What value of x corresponds to this point?
Answer:
h=0.748
Step-by-step explanation:
The value of x that corresponds to this point on the phase shift is 0.748.
What is phase shift?The phase shift simply means when the graph of the sine and cosine function is shifted from their usual position.
The phase shift, is any value of x that occurs at the beginning of a cycle. In this case, value of x that corresponds to this point on the phase shift is 0.748.
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4. A circular aluminum sign has a radius of 28 centimeters. If a sheet of aluminum
costs $0.33 per square centimeter, how much will it cost to make the sign? Use
3.14 to approximate a.
The cost for making the sign is $812.38
Step-by-step explanation:
Radius = 28 cm
Cost of aluminum per square cm = $0.33
Area of the sign = π(r x r)
= (3.14) (28 x 28)
= (3.14) (784)
= 2461.76 square cm
Total cost to make the sign = 2461.76 x 0.33
= 812.38
The cost for making the sign is $812.38
To find the cost of making the circular aluminum sign, first calculate the area of the circle, then multiply the area by the cost per square centimeter. The total cost is $812.65.
To determine the cost to make a circular aluminum sign with a radius of 28 centimeters, we first need to find the area of the circle. The formula for the area of a circle is:
→ A = πr²
Given:
→ Radius, r = 28 cm
→ π ≈ 3.14
We can now calculate the area:
→ A = 3.14 × (28 cm)²
→ A = 3.14 × 784 cm²
→ A = 2,462.56 cm²
Next, we calculate the cost of the aluminum sheet:
→ Cost = Area × Price per cm²
→ Cost = 2,462.56 cm² × $0.33/cm²
→ Cost = $812.65
Therefore, it will cost $812.65 to make the circular aluminum sign.
work out the missing numbers:
a)(-4)x =320
Answer:
x=-80
Step-by-step explanation:
Answer:
[tex]x=-80[/tex]
Step-by-step explanation:
[tex]a) (-4)x=320\\\\x=\frac{320}{-4} \\\\x=-80[/tex]
Trace needs a new carpet for her house the living are is an open floor plan of a dining room 6 feet c 4 feet sitting area 10 feet x 15 feet and a breakfasg nook 5 feet x 5 feet how many square feet of carpet does she need
Answer:
199 square feet
Step-by-step explanation:
Given:
Trace needs a new carpet for her house.
Dimension of dining room = 6 feet by 4 feet.
Dimension of sitting area = 10 feet by 15 feet.
Dimension of breakfast nook = 5 feet by 5 feet.
Question asked:
How many square feet of carpet does she need ?
Solution:
First of all we will calculate the area of each part of the house and then add up.
[tex]Area \ of \ dining\ room=length\times width[/tex]
[tex]=6\times4\\ \\ =24\ square\ feet[/tex]
[tex]Area \ of \ sitting\ part=length\times width[/tex]
[tex]=15\times10\\ \\ =150\ square\ feet[/tex]
[tex]Area \ of \ breakfast\ nook=(side)^{2}[/tex]
[tex]=5^{2} =25\ square\ feet[/tex]
Total carpet needed will be needed = For dining + For sitting area + For breakfast nook
= 24 + 150 + 25
= 199 square feet
Therefore, she needs 199 square feet of a new carpet for her house.
Which equation represents a proportional relationship?
A. y=-2x
B. -2x+3y=12
C. y=1/2x+3
D. -1x+2y=6
Which equation represents a proportional relationship?
C. y=1/2x+3
-8(5b + 2) -7(b - 5)
Answer:
-47b + 19
Step-by-step explanation:
which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y=2/3x-2
Answer: the first one
Step-by-step explanation:
Answer:
A or the first one on the left
The probability of none will have high blood pressure if twenty percent of Americans age 25 to 74 have blood pressure .If 16 randomly selected Americans age 25 to 74 are selected
Answer:
The probability that none will have high blood pressure is 0.0281
Step-by-step explanation:
The correct question is as follows;
Twenty percent of Americans ages 25 to 74 have high blood pressure. If 16 randomly selected Americans ages 25 to 74 are selected, find each probablility. a. None will have high blood pressure
This is a binomial problem. We shall solve in that line
The probability of success is 20% or 0.2 [(Americans ages 25 to 74 have high blood pressure)] p = 0.2
The probability of failure q is thus 1-p = 1-0.2 = 0.8
The probability of none is thus;
P(X= 0) = 16C0 p^0 q^16
= 16C0 * 0.2^0 * 0.8^16 = 0.0281
Can you please help me with this ima give you brainlylist
Answer: 16 pints
Step-by-step explanation:
There are 8 pints in a gallon so 8*2=
16 pints
Answer:
16 pints.
Step-by-step explanation:
Hello there!
There are 8 pints in a US gallon, so:
8x2=16 pints
A deli prepares sandwiches with one type of bread (white or wheat), one type of meat (ham, turkey, or chicken), and one type of cheese (cheddar or Swiss). Each combination is equally likely. Find the probability of choosing a sandwich at random and getting turkey and Swiss on wheat bread.
The probability of choosing a sandwich at random with turkey and Swiss on wheat bread is calculated by multiplying the independent probabilities of selecting each component. With 2 bread choices, 3 meat choices, and 2 cheese choices, the calculated probability is 1/12.
To find the probability of choosing a sandwich at random with turkey and Swiss on wheat bread, we consider the possible options for each category that can be selected independently. We have 2 bread options (white or wheat), 3 meat options (ham, turkey, or chicken), and 2 cheese options (cheddar or Swiss). To find the probability of one specific combination, we multiply the probabilities of each choice.
The probability of selecting wheat bread is 1/2 because there are 2 options for bread. The probability of selecting turkey as the meat is 1/3 since there are 3 meat options. Finally, the probability of selecting Swiss cheese is 1/2, as there are 2 cheese options.
The combined probability is the product of these probabilities:
(1/2) * (1/3) * (1/2) = 1/12
So, the probability of randomly choosing a sandwich with turkey and Swiss on wheat bread is 1/12.
The probability of randomly selecting a sandwich with turkey and Swiss on wheat bread is 1 out of 12 possible combinations.
To find the probability of choosing a sandwich at random that is turkey and Swiss on wheat, we need to calculate the total number of possible different sandwich combinations and then find the probability of the one specific combination. There are 2 types of bread (white, wheat), 3 types of meat (ham, turkey, chicken), and 2 types of cheese (cheddar, Swiss). The total number of sandwich combinations is the product of the number of choices for each component: 2 * 3 * 2 = 12.
Only one of these combinations is turkey and Swiss on wheat. Therefore, the probability of randomly selecting a turkey and Swiss on wheat sandwich is 1 out of the total number of combinations. Mathematically speaking, the probability (P) is P = 1/12.
The deli sandwich scenario is related to a fundamental concept in statistics and probability, where you assess the outcomes of a certain event given a set of choices.