Answer:
Explanation:
Here, given the speed at which each of the 3 move, we want to get the distance moved by them since we have the time too
Mathematically:
\(\text{Distance = sp}eed\text{ }\times\text{ time}\)To get the distance, we have to multiply the speed by the time
For example. let us take the time 10
For this, we have:
Alana = Alana's speed * time = 10 * 1 = 10 m
For Gilberto, we have: 2 * 10 = 20 m
For Leanne, we have:
2.5 * 10 = 25 m
We repeat the same process for the time of 20 seconds
We have this as:
Alana = 20 * 1 = 20 m
for Gilberto, we have :
20 * 2 = 40 m
For Leanne, we have
2.5 * 20 = 50 m
A bag contains 11 apples and 6 oranges. If you select 6 pieces of fruit without looking, how many ways can you select exactly 5 apples
Answer:
you have a 11/17 percent chance of getting an apple
Step-by-step explanation:
if there are 11 apples and 6 oranges. 11 out of 17 times you will get an apple
multiply 0.03858 by 0.02, leaving the answer in standard form
Answer:
0.03858 / 0.02 = 1.929
Step-by-step explanation:
The multiplication of 0.03858 by 0.02 gives 7.716 x 10^-4.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have to multiply 0.03858 by 0.02
So, 0.03858 x 0.02
Using indicies,
0.03858 x 0.02
(3.858 x 10^-2) x (2.0 x 10^-2)
3.858 x 2.0 x (10^-2 + -2)
7.716 x 10^-4
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i dont know what is 100x100 is
Answer:
100x100=10,000
A short and easy trick is to multiply only the first number since the rest are zero. So, multiply 1 and 1: 1 x 1. What do you get? 1, of course. Then, add the rest of the zero's after that. In 100, there are two zero's. In 100, there are two zero's. What is two plus two? Well: 2 + 2 = 4 so, four zero's. After that, add the 4 zero's after the 1. One is extremely important in this problem. 1, one zero, 10, two zero's, 100, three zero's, 1,000, and finally, four zero's, 10,000. So, the trick is to multiply the one by the other one, get 1, and add the zero's in the other numbers. This can work as long as it is something like: 10 x 10, 100 x 100, 1,000 x 1,000, or even beyond. Just remember to add the zero's!
Note: This only works with digits similar to the ones listed below.
Notice that they all have a 1 at the front and zero('s) behind them.
1) 10 x 10
2) 100 x 100
3) 1,000 x 1,000
This can continue to over 100 zero's per digit!
The solution to the expression is A = 10000
Given data ,
Let the expression be represented as A
Now , the value of A is
Let the first number be represented as p
The value of p = 100
Let the second number be represented as q
The value of q = 100
So, A = pq
On simplifying the equation , we get
A = p multiplied by the value of q
And , A = 100 x 100
A = 10000
Therefore , the value of A is 10000
Hence , the expression is A = 10000
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Find the area of the figure below.
Enter the answer as square inches.
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic
The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))
To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.
The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.
The total number of possible arrangements is given by the factorial of the total number of letters:
Total arrangements = 10!
However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:
Total arrangements = 10! / (2!)
To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.
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Use the coordinates of the labeled point to find the point-slope equation of
the line.
A. y-5=-3(x+3)
B.y-3-(x+5)
C. y + 5 = 3(x+3)
D. y + 5 = -3(x-3)
(3,-5)
By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.0 5 2 -2
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 + 5)/(0 - 3)
Slope (m) = -9/3
Slope (m) = -3
At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-5) = 3(x - 3)
y + 5 = -3(x - 3)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The shapes below are drawn on a centimetre grid. Show that the triangle and the square have the same area.
Both figures have an area of 4 units squared, so yea, the area is the same.
How to find the areas?The area of a square of side length S is equal to S squared, for the square, we can see that:
S = 2 units.
Then the area is:
A = (2 units)² = 4 square units.
For the triangle, we know that the area is equal to:
A = B*H/2
Where B = base, H = height.
We can see that:
B = 2 units.
H = 4 units.
Then:
A = (2 units)*(4 units)/2= 4 square units.
So yea, both have the same area.
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Simplify the expression. negative 15 plus the quantity negative 1 and six tenths plus 9 and 34 hundredths end quantity divided by 6 all times 3 squared minus 5 and 7 tenths
The expression is simplified to give -14. 5
What are algebraic expressions?Algebraic expressions are defined as those expressions that are made up of terms, coefficients, factors, constants and variables.
The different mathematical operations that make up algebraic expressions are;
AdditionSubtractionMultiplicationDivisionBracketParenthesesFrom the information given, we have that;
- 15 + {(-1 1/6) + 9 34/100} / 6 (3² - 5 7/10)
convert the fraction to improper fractions
- 15 + { - 7/6 + 934/100 } / 6(9 - 57/10)
convert the values to decimals
-15 + { -1. 2 + 9.34)/6(9 - 5.7)
- 15 + (8.14/19.8)
-15 + 0.41
add the values
-14. 5
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Try it Now 1
At some random moment, you look at your clock and note the minutes reading.
a. What is probability the minutes reading is 15?
b. What is the probability the minutes reading is 15 or less?
a) The probability the minutes reading is 15 is 1.667%.
b) The probability the minutes reading is 15 or less is 25%.
What is the probability?Probability is the likelihood or chance that an expected outcome occurs when other events can equally happen or occur.
Probability is a fractional value when it is less than 1 and more than 0. When the event is inevitable, its probability is depicted as 1. On the other hand, when the event is unlikely to occur, its probability is shown as 0.
As a fractional value, we use decimals, fractions, and percentages to show probability.
The probability of the minutes reading being 15 = 1/60 or 1.667% (1/60 x 100)
The probability of the minutes reading being 15 or less = 25% (1.667% x 15) or (15/60 x 100).
Thus, there is a one in 60 chance that the minute reading is 15 and a 25% in 60 cases that the minute reading is 15 or less.
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Can somebody help me?
h(x)=9*(2/3)^x
Answer:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0 .
Horizontal Asymptote: y = 0
Step-by-step explanation:
x y
-2 81/4
-1 27/2
0 9
1 6
2 4
Choose Equivalent or Not Equivalent
a. 6(3x+5) and 18x+30
b. 12y+3 and 3y+12
If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?
Answer:
The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.
Step-by-step explanation:
This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.
Mr. Heritage starts a new business, and to get it started he borrows $2 500 from a bank. If the loan is for two years, and the amount of interest for those two years is $175, what SIMPLE interest rate was he charged? (SIMPLE INTEREST: the principle and interest calculations dont change- they stay the same for the entire two year period!) BONUS- if he pays off the whole loan in the two years, what would his monthly bill be, (DON'T FORGET TO INCLUDE THE INTEREST CHARGE FOR HIS MONTHLY BILLS!!! YOU CAN ROUND YOUR CALCULATION TO THE NEAREST HUNDRETH- THAT IS, TO TWO DECIMAL PLACES...)
The rate of interest is given by the equation R = 3.5 %
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the rate of interest be represented as R
Now , the simple interest I = $ 175
The principal amount invested P = $ 2,500
The time period T = 2 years
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )
Substituting the values in the equation , we get
Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )
Rate of Interest R = 17500 / 5000
Rate of Interest R = 3.5 %
Hence , the interest rate is 3.5 %
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how do I write the rate of change in a fraction
Answer:
the rate of change? please explain to me what that is ;)
9514 1404 393
Answer:
(change in output)/(change in input)
Step-by-step explanation:
A "rate of change" is usually computed as the ratio of a change in the output of a function divided by the corresponding change in the function's input. This is naturally a ratio, a fraction.
The rate of change of a graph is often described as "rise" over "run", so the fraction is ...
rise/run
In other cases, the "rate of change" or "unit rate" is the ratio of one value to another. For example, "miles per gallon" is found by dividing miles by the corresponding number of gallons. Similarly, "dollars per pound" is found by dividing dollar cost by the corresponding number of pounds. These are naturally fractions, and may be reduced in the usual way fractions are reduced.
Plot the following points by hand or using an online graphing calculator. What is the function that best fits the points?
(-2,-11), (-1,-8), (0, -5), (1,-2), (2, 1)
Exponential
Linear
Quadratic
Answer:
Linear
Step-by-step explanation:
The trend is a straight line so linear
The trend is not parabola type so not quadratic
The general equation is
y=mx+bThe equation of line is y=3x-5
Answer:
Linear
Step-by-step explanation:
As the points lie on a straight line, it can be best described as a linear function.
Table :
\(\left[\begin{array}{ccc}x&y\\-2&-11\\-1&-8\\0&-5\\1&-2\\2&1\end{array}\right]\)
Graph :
what is 190 divided by 2/3
After divide, the solution of the expression is, 285
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
190 divided by 2/3.
Now, We can simplify as;
⇒ 190 ÷ 2/3
⇒ 190 × 3/2
⇒ 95 × 3
⇒ 285
Thus, The solution of the expression is, 285
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a study of long-distance phone calls made from general electric reveled the length of the calls, in minutes, follows the normal probability distribution. the mean length of time per call was 4.5 minutes and the standard deviation was 0.70 minutes. what is the probability that calls last between 4.0 and 6.0 minutes?
The probability that calls last between 4.0 and 4.6 minutes will be around 0.4332.
we have to standardize the values and utilize the standard typical dispersion table or calculator.
To discover the z-scores for 4.0 and 6.0 minutes:
z1 = (4.0 - 6.0 ) / 0.70 = 2.8
z2 = (4.5 - 6.0 ) / 0.70= 2.1
Since Employing a standard ordinary conveyance table, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:
P(0 ≤ Z ≤ 2.1) = 0.4332
However the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.
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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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Identify the next number in the following sequence and tell how:
25 - 49 - 97 - ?
a) 124 b) 171 c) 139 d)193
Answer:
d
Step-by-step explanation:
multiply by 2 then subtract 1
2(25)-1=49
2(49)-1=97
2(97)-1=193
PLEASE HELP ASAP!!!!!!
Answer:
20
Step-by-step explanation:
good luck!!
Answer:
24 or 20
Step-by-step explanation:
is 16 the decimal value of 1000
Answer:
0.016
Step-by-step explanation:
Answer:
0.016
Step-by-step explanation:
P=x-2 ÷ x+1 for whar value of x is P equal to zero
Answer:
x = 2
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
P will equal zero when the numerator is equal to zero , that is
x - 2 = 0 ( add 2 to both sides )
x = 2
P = 0 when x = 2
Which of the following is NOT a reason that Americans are moving to the South and West. A.to find jobs in factories. B.to find jobs in office. C.to find farming jobs. D.to find milder weather
Answer:
B
Step-by-step explanation:
Hope this helped! Please let me know if I'm wrong!
The floor of a round hut has a radius of 2 meters. What is the floor's area?
Answer:
12.57
Step-by-step explanation:
A = πr^2
3.14 x 2 x 2 = 12.57 meters ^2
ANSWER: approximately 18.84 meters
Step-by-step explanation:
The most commonly used equation for circumference is C=2πr. Where c is the circumference, π is pi (or 3.14159...), and r is the radius.
In your equation, you are given diameter. Remember that the radius is half of the diameter. So, in this case, the radius, r, is half of 6, or 3 meters.
Now, substitute the radius into the equation for circumference, and you get:
C= 2π(3)
=approximately 18.84 meters
What you know have found is the distance around the circle.
The given figure shows the intersection of plane S with a square pyramid.
Which shape depicts the cross-section?
OA.
D.
E
The cross section can be of these shapes square and triangle are; A, D
What is cross-segment ?A cross-segment is a plane segment that is a segment of a three-dimensional item that is parallel to one among its planes of symmetry or perpendicular to considered one of its traces of symmetry.
An instance of a go-segment would be a circle. A cross-section is seen whilst a 3-dimensional picture is reduce through a plane.
Then the case of the cone, a circular go-segment emerges while the cone is cut parallel with its base
The go-sectional region is the location of a 3-dimensional shape which is acquired whilst a three-dimensional object - inclusive of a cylinder - is sliced perpendicular to some designated axis at a point.
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which choice correctly expresses the number below in scientific notation?
0.000611
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
6.11/104
What is the ordered pair of your location if you start at (0, 0), move 2 units up, and then move 3 units right?
Answer:
(3,2)
Step-by-step explanation:
Write the number in Scientific notation form.
0.0755
Answer:
The scientific notation will be 7.55 x 10^-2
Step-by-step explanation:
You need to make the number at least 1 but below 10 so you would move the decimal over 2 places to the right
Hope this helps :)
Answer:
7.55 x 10⁻²
Step-by-step explanation:
0.0755
As we move the decimal two spaces to the right it will be a negative integer.
7.55 x 10⁻²
Look at attached image.
Find the value of x in the parallelogram
The value of x in the parallelogram is 112°.
In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.
To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.
Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.
Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.
Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.
This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.
For the given question, we know x° + 68° = 180°.
Then x° = 180° - 68°
x° = 112°
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A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep deprivation. What size sample should be obtained in order to be 99 % confident that the sample proportion will not differ from the true proportion by more than 4%? Round up to the nearest whole number.
The sample size needed to be 99% confident that the sample proportion will not differ from the true proportion by more than 4% is given as follows:
n = 1037.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error is given as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
As we have no estimate, the parameter is given as follows:
\(\pi = 0.5\)
Then the sample size for M = 0.04 is obtained as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.04\sqrt{n} = 2.575 \times 0.5\)
\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)
\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)
n = 1037.
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