The unit rate at which Darrell walks is 1.5 meters per second.
What is the unit rate?
A ratio that compares two amounts of DIFFERENT types of UNITS is called a rate. When a rate is expressed as a fraction, the denominator is 1 unit. Divide the numerator and denominator of the rate by the denominator to represent a rate as a unit rate.
Here, we have
Given
Darrell is walking for a distance of 90 meters in time 60 seconds.
We have to find the unit rate at which he walks.
To find out the unit rate we must divide the distance traveled by Darrell by the time taken to travel that distance.
The unit rate is given by :
Unit rate = Distance traveled in meters / Time taken in seconds
Unit rate = 90 meters / 60 seconds
Unit rate = 1.5 meters per second.
Hence, the unit rate at which Darrell walks is 1.5 meters per second.
In 60 seconds, Darrell walks 90 meters. Select the two answers that describe the unit rate at which he walks.
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Simplify 14 divide by 2+5 x 4
Answer:
27
Step-by-step explanation:
14/2+5 x 4
7+20
27
Answer:
27
Step-by-step explanation:
14 divided by 2 + 5 x 4
5 x 4 first (pemdas)
5 x 4 is 20
14 / 2 = 7
7 + 20 = 27
if you don’t know pemdas it’s:
p arenthases
e xponents
m ultiply
d ivide
a dd
s ubtract
Brainliest to who ever gets this correct. Evaluate the function below for x=4
A. 29
B. 81
C. 45
D. 97
Answer:
D.
Step-by-step explanation:
\(4^3+2*16+1=97\)
The volume of a cube depends on the length of its sides. This can be written
in function notation as v(s). What is the best interpretation of v(4) = 64?
A. 4 sides of the cube have a total length of 64 feet.
B. A cube with side lengths of 4 feet has a volume of 64 cubic feet.
C. 4 of these cubes will have a total volume of 64 cubic feet.
OD. A cube with a volume of 4 cubic feet has side lengths of 64 feet.
Answer:
C is the correct answer.
what is 13 = g - (-7) ?
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.
What is probability?Probability is defined as the total number of possible outcome of an event.
The repeated colour which are numbered from 1 to 8 are as follows:
Sections 1 and 8 are purple. The probability of getting a purple = 2/8 = 1/4Sections 2 and 3 are yellow. The probability of getting a yellow = 2/8 = 1/4 Sections 4, 5, and 6 are blue. The probability of getting a blue = 3/8Section 7 is orange. The probability of getting a orange = 1/8.Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.
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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.
Step-by-step explanation:
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
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The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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x2 - 3|x - 2| - 4x = - 6
Solve for x
Answer:
if that is x^2 -3|x-2|-4x=-6, then this should be the answer other wise it would be a biiiit diffrent
Step-by-step explanation:
Irina’s basketball team has a 1 in 6 chance of winning the first-place trophy. She rolled a six-sided number cube repeatedly, assigning her team a number from 1 to 6 to demonstrate the probability that her team would win. Which method did she use to collect her data? survey simulation experiment observational study
Answer:
b is right (simulation)
Step-by-step explanation:
edg
The method of data collection used is the simulation method
What is a number cube?A number cube (also known as a die) is a device that is used in simulating probabilities
Below is how to determine the method she used.
From the question, we have the following highlights:
Chance of winning = 1/6She rolls a number cubeThe outcome is assigned to the team that would winThe highlight 3 above implies that the method of data collection used in this question is the simulation method
This is so because the winning team is determined by rolling a number cube
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helpppp plsss!!!!!!
Answer: y = -1/4x +5 (option A)
Step-by-step explanation:
you should substitute the point in the equation so, you have to use "+c" instead of the "-3". the equation you have to use is y = -1/4x + c
(4,4)
y = -1/4x + c
4 = -1/4(4) + c
4 = -1 + c
4+1=c
c = 5
So the -3 in the equation should be replaced with 5 in the equation and that's the parallel line passing through the point (4,4)
therefore the equation is - y = -1/4x +5
If the sum of a number and 3 is doubled, the result is one less than the number. Find the number.
The unknown number that is summed with 3 and double whose result is one less that the number would be = -7
How to determine the unknown number used above?To determine the unknown number, let the unknown number be = n
From the question statement;
2(n + 3) = n-1
2n + 6 = n-1
Bring the like terms together;
2n-n = -6-1
n = -7
Therefore, the number that represents the unknown number used in the statement above would be = -7.
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11. Delila is multiplying three negative numbers and determines that the solution will be negative. Is she correct or incorrect? Justify your thinking.
Answer: CORRECT
Step-by-step explanation: Because any negative number will be positive when multiplied together but since there are 3 negative number the 3rd negative will always negate the positive so therefore Delila is correct
She is correct.
Why multiplying negative numbers odd number of times gives a negative result ?A odd number is 1 less or one greater than an even no. so when we multiply negative nos. odd no. of time we will have only one no. remaining to be multiplied and the rest of the nos. will be paired and we know a pair of negative nos. multiplied together is positive then multiplying it with one more negative no. will make the whole thing negative.
According to the given question
Delila is multiplying three negative numbers and determines that the solution will be negative.
When we multiply negative numbers odd number of times we get the result in negative and when we multiply negative numbers even number of times the obtained result is positive.
(-1)ⁿ( make all the given numbers positive)
Here n represents the number of times we have multiplied.
We know that 1 raised to the power anything is 1 it self so it doesn't effect the equation.
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2. For rectangle , m angle PLE=5x+2 and m angle NLE=3x . Determine the value of x, m angle PLE , and m angle NLE .
Answer:
hmmmmmm
Step-by-step explanation:
Answer:
CAN SOMEONE ACTUALLY SOLVE IT PLEASE
Step-by-step explanation:
7x-3y=-7 slope of line perpendicular
Answer: -3/7
Step-by-step explanation:
The first step is to find the slope of the line
y = mx + c where m is the slope of the line
Rearrange the equation and we get
3y = 7x + 7
y = 7x/3 + 7/3
So the slope of the line 7x - 3y = -7 is 7/3
There is another rule that states: The product of the slopes of two lines perpendicular to each other is -1
So, the slope of the line perpendicular to 7x - 3y = -7 is -1/(7/3) = -3/7
A side of the triangle below has been extended to form an exterior angle of 130°. Find the value of x
Answer:
x = 17°
Two ways to solve:
Since the 130° angle is on a straight line, 180°, we can do the following:
180° - 130° = 50°
Then, a triangle's angles add up to 180
180° - 50° - 113° = x
17° = x
x = 17°
--------------------------------------
The exterior angle is equal to the two opposite interior angles added together,
130° = x + 113°
17° = x
x = 17°
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Enter the equation of the circle described below. Center (-1, 0), radius = sqrt 3
Answer:
(x + 1)² + y² = 3
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (- 1, 0 ) and r = \(\sqrt{3}\) , then
(x - (- 1) )² + (y - 0)² = (\(\sqrt{3}\) )² , that is
(x + 1)² + y² = 3
QUESTION 7 A family moved to Orlando, FL and bought a home. They paid $350,000 for their house. In their neighborhood the mean price of a home is $375,000 with a standard deviation of $7,500. Calculate the z-score for the price of their home and indicate if the price they paid for their home usual or unusual. Choose one • 10 points The z-score is 3.333 and it is usual The z-score is -3.333 and it is usual The z-score is 3.333 and it is unusual The z-score is -3.333 and it is unusual
Step-by-step explanation:
The z-score for the price of the family's home can be calculated as follows:
z = (350,000 - 375,000) / 7,500 = -3.333
A negative z-score indicates that the value is below the mean. Therefore, the price the family paid for their home is lower than the average price of homes in their neighborhood, so it can be considered unusual.
So, the answer is: The z-score is -3.333 and it is unusual.
Evaluate the expression when a = -6 and y=2 . a-6y
Answer:
-18
Step-by-step explanation:
So we have the expression:
\(a-6y\)
And we want to evaluate it when y=2 and a=-6.
Substitute in these values:
\(=(-6)-6(2)\)
Multiply:
\(=(-6)-12\)
Subtract:
\(=-18\)
Answer:
-18
Step-by-step explanation:
We are given the expression:
\(a-6y\)
and asked to evaluate when a= -6 and y=2.
Therefore, we must substitute -6 in for a and 2 in for y.
\(a-6y , a=-6, y=2\)
\((-6)-6(2)\)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction.
Multiply 6 and 2.
\((-6)-(6*2)\)
\((-6)-(12)\)
\((-6)-12\)
Subtract 12 from -6.
\((-6-12)\)
\(-18\)
The expression a-6y when evaluated for a=-6 and y=2 is equal to -18.
One grocery clerk can stock a shelf in 25 min. A second clerk requires 45 min to stock the same shelf. How long would it take to stock the shelf if the two clerks worked together?
Answer:
clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Step-by-step explanation:
Let the first clerk be A and the second clerk be B
A can stock a shelf in 20 min
B can stock a shelf in 45 min
Consider the complete work to be W
A’s rate of stocking = per minute
B’s rate of stocking = per minute
When, A and B work simultaneously, rate of work done =
Total work done simulatenously = 180/13
Therefore, clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Answer:
Step-by-step explanation:
The rate of each clerk is 1/25 and 1/45 respectively so together they can stock the shelf
t/25+t/45=1 (the least common multiple of 25 and 45 is 225)
t/25(9/9)+t/45(5/5)=1
(9t+5t)/225=1
9t+5t=225
14t=225
t=225/14 min
t=16 minutes (rounded to nearest minute)
( or 16 minutes and about four seconds :) )
help me solve this queston
TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
To represent the given problem as a system of equations, we can use the following information:
John is 70 years younger than Sharon: j = s - 70
Sharon is 4 times as old as John: s = 4j
Let's plot the graph for this system of equations:
First, let's solve equation (2) for s:
s = 4j
Now substitute this value of s in equation (1):
j = s - 70
j = 4j - 70
3j = 70
j = 70/3
Substitute the value of j back into equation (2) to find s:
s = 4j
s = 4(70/3)
s = 280/3
The solution to the system of equations is j = 70/3 and s = 280/3
In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.
Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
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Algebra help! 1 question
what is the area of the shaded region? use 3.14 for pi
Answer:
13.8
Step-by-step explanation:
Area of square = πr²
=22/7 × 4²
=50.2
Area of square = l²
=8²
= 64
Area of shape is 64 - 50.2 = 13.8
Answer:
The answer is 13.8
Step-by-step explanation:
Yes
spaghetti packs are sold in 3 different sizes
a 500g pack is on offer for 3 for £1.39.
a 1kg pack costs £1.03
a 2kg pack costs £1.97
which pack is the best value for money?
Answer:
2kg for 1.97 is indeed the best option
Evaluate the expression for h = 6 and j = 5.
hj - h² =
Submit
Therefore, when h = 6 and j = 5, the value of hj - h² is -6.
What are arithmetic operations:Arithmetic operations are basic mathematical operations that involve manipulating numbers to perform calculations. There are four main arithmetic operations:
Addition: Adding two or more numbers together. The symbol used to represent addition is "+", and the result is called the sum.
Subtraction: Subtracting one number from another. The symbol used to represent subtraction is "-", and the result is called the difference.
Multiplication: Multiplying two or more numbers together. The symbol used to represent multiplication is "×" or "*", and the result is called the product.
Division: Dividing one number by another. The symbol used to represent division is "÷" or "/", and the result is called the quotient.
These operations can be combined to perform more complex calculations. Additionally, there are other arithmetic operations, such as exponentiation (raising a number to a power) and finding roots, which involve using arithmetic principles.
by the question.
To evaluate the expression hj - h² for h = 6 and j = 5, we simply substitute these values into the expression and perform the arithmetic operations:
hj - h² = (6)(5) - 6²
= 30 - 36
= -6
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Share $200 between Alice and Brian in the ratio 3 : 5
Alice’s share .......……………………Brian’s share .......……………………
Answer:
Alice: $75
Brian: $125
Step-by-step explanation:
3 + 5 = 8
200 ÷ 8 = 25
25 × 3 = 75
25 × 5 = 125
if a questions asks to find the area of half of the circle would you do 3.14(pie) times r2(radius squared) times 1/2? and if no then what would you do?
Answer:
\(A=\dfrac{3.14r^2}{2}\)
Step-by-step explanation:
The area of a circle is given by :
\(A=\pi r^2\)
Where
r is the radius of the circle.
If we talk about the area of half of the circle, it means we have to half the area such that,
\(A=\dfrac{\pi r^2}{2}\\\\or\\\\A=\dfrac{3.14r^2}{2}\)
Hence, this is the required solution.
data are collected on the 35 students in a college history course. which of the following is not a variable for the data set? responses student birth month student birth month political affiliation of student political affiliation of student student age student age student address
The correct statement is-number of students in the data set
In research and data collecting, something that is being measured and whose values can change is referred to as a variable.
Given that we have a range of alternatives from January to December, the aforementioned example demonstrates how the student birth month is a variable. The student's ability to indicate whether they support particular political parties or not makes their political affiliation another variable. Since they are college students, the age of the student is another variable, with replies falling within a range of 20 to 25.
Since students will give different answers, whether they live at the same address or a different one, student address is also a variable.
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Numbers get 10x bigger or smaller when you move one place to the right on the decimal scale. true or false
Answer:
It is true!!!'djjfdjidjdneidid
When a certain radioactive element decays, the amount, in milligrams, that remains after t years can be approximated by the function A above. Approximately how many years would it take for an initial amount of 800 milligrams of this element to decay to 400 milligrams?
a. 173
b. 347
c. 693
d. 1,386
e. 2,772
Answer: C.693
Step-by-step explanation:
A student is measuring the length of an icicle, y, every hour, x. The icicle is currently 14 inches long and is melting at a rate of 0.9 inches per hour. Find and interpret the slope for this relationship. −0.9; for every additional hour, the length of the icicle decreases by 0.9 inches 0.9; for every additional hour, the length of the icicle increases by 0.9 inches −14; the length of the icicle when the student first measures it 14; the length of the icicle when the student first measures it
The answer is: −0.9; for every additional hour, the length of the icicle decreases by 0.9 inches