What value of m would make parallelogram wxyz a square.
Answers
To make parallelogram WXYZ a square, the following conditions must be met:
1. All four sides of the parallelogram must have equal length.
2. The angles between adjacent sides must be 90 degrees.
Since a square is a special type of parallelogram with all sides equal and all angles equal to 90 degrees, we can determine the value of m that would make WXYZ a square by ensuring that these conditions are met. To find the value of m, we need more information about the dimensions or properties of the parallelogram WXYZ. Please provide additional details or measurements related to the parallelogram. The diagonals of a square are equal in length and bisect each other at 90-degree angles. The perimeter of a square is the sum of all four sides, and the area of a square is calculated by squaring the length of one side.In order for parallelogram WXYZ to be a square, it must have congruent sides and right angles at each vertex.
Since opposite sides of a parallelogram are congruent, we can equate the lengths of adjacent sides to find the value of m that would make it a square.
Let's assume that WX and XY are adjacent sides of the parallelogram.
If WX = XY, then the parallelogram would have congruent sides.
Let's say WX = m and XY = m.
To form a square, the angles at each vertex must be right angles. This means that WX and XY must be perpendicular to each other.
In a square, opposite sides are parallel, so the slopes of WX and XY must be negative reciprocals of each other.
The slope of WX can be represented as (change in y) / (change in x). Since it is perpendicular to XY, its slope will be the negative reciprocal of the slope of XY.
Let's assume the slope of XY is denoted as a. Then the slope of WX would be -1/a.
We can now equate the slopes of WX and XY:
-1/a = (change in y) / (change in x)
Simplifying this equation, we get:
a = -1
Therefore, the slope of XY is -1.
Now, we can equate the lengths of WX and XY:
m = m
Since WX = XY and both sides have length m, we can say that m = m.
So, any value of m would make parallelogram WXYZ a square as long as the sides WX and XY are congruent and perpendicular to each other, with a slope of -1.
hence, the value of m = -1.
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Related Questions
if 11 is subratecet from 4 times a number the result is 89 find the number
Answers
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
4x-11=89
4x=89+11
4x=100
x= 25
I hope this will help
an opinion poll on a political issue is taken by a campaign. out of 400 respondents, 210 support issue 1, others are against issue 1. there is a belief that the support of the issue 1 is different from the majority. find the p-value for this situation.
Answers
p-value < 0.0001, reject null hypothesis. Proportion of supporters for issue 1 is significantly different from the majority.
To find the p-an incentive for this present circumstance, we really want to direct a speculation test. We should expect the invalid speculation is that the extent of allies for issue 1 is equivalent to the larger part, and the elective theory is that the extent of allies is not the same as the larger part.
Utilizing a two-followed z-test with an importance level of 0.05, we can work out the z-measurement as:
z = (210/400 - 0.5)/sqrt(0.5 * 0.5/400) = 4.14
The p-an incentive for this test is the likelihood of getting a z-score more noteworthy than 4.14 or not exactly - 4.14, which is tiny (under 0.0001). In this way, we can dismiss the invalid speculation and presume that there is sufficient proof to propose that the extent of allies for issue 1 is altogether not quite the same as the larger part.
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Gabriella went shopping for a new pair of pants because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Answers
Answer:
Step-by-step explanation:
Just multiply by 0,3
For EXAMPLE
30% of 100 would be 30
100 x 0,3 = 30
Express 0.555... as a fraction in simplest form
Answers
Answer:
0.40404040.
Step-by-step explanation:
A new company wants to offer a line queuing service where customers book someone to wait in line on their behalf through a smart phone app. What concept is represented by the possibility that no one wants to pay someone else to wait in line ?.
Answers
A new company wants to offer a line queuing service where customers book someone to wait in line on their behalf through a smart phone app.
The possibility that no one wants to pay someone else to wait in line can be represented by the concept of probability.
The probability of an event occurring is defined by probability.
The outcome of an event may be known to us or unknown to us. When this happens we say that there is a chance that the event will happen or not.
We can identify probability by simply dividing the favorable number of possibilities by the entire number of possible outcomes.
Hence, probability is a numerical representation of the chance that a specific event will take place.
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Nicholas is saving $232 per month. If their account earns a 3.7% interest rate, how many years will it take before they can buy a $27,000 car? Lauren recently inherited $1,930,000, which they immediately invested in an equity index mutual fund. If they plan to withdraw $7,000 per month from their account, what annual interest rate must they earn in order to have $251,000 left after 27 years?
Answers
a. It will take Nicholas approximately 9.69 years to save enough to buy a $27,000 car. b. Lauren needs to earn an annual interest rate of 5.02% in order to have $251,000 left after 27 years.
To calculate the time it will take for Nicholas to save enough for a $27,000 car, we can use the formula for compound interest. The formula is given by:
Future Value = \(Present Value * (1 + interest rate)^{(number of periods)}\)
In this case, Nicholas is saving $232 per month, so the future value (FV) is $27,000 and the interest rate (r) is 3.7% per year. We need to find the number of periods (t) in years. Rearranging the formula, we get:
t = log(FV / PV) / log(1 + r)
Plugging in the values, we have:
t = log(27000 / (232 * 12)) / log(1 + 0.037)
≈ 9.69 years
Therefore, it will take Nicholas approximately 9.69 years to save enough to buy a $27,000 car.
To calculate the required annual interest rate for Lauren, we can use the formula for future value with regular withdrawals. The formula is given by:
\(Future Value = Withdrawal Amount * ((1 + interest rate)^{t - 1} / interest rate\)
In this case, the future value (FV) is $251,000, the withdrawal amount is $7,000 per month, and the time (t) is 27 years. We need to find the interest rate (r). Rearranging the formula, we have:
\(r = ((FV * interest rate) / Withdrawal Amount + 1)^{(1 / t) - 1}\)
Plugging in the values, we get:
\(r = ((251000 * r) / 7000 + 1)^{1 / 2}\)7) - 1
Solving this equation, we find that Lauren needs to earn an annual interest rate of approximately 5.02% to have $251,000 left after 27 years.
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Riboflavin is similar to thiamin in that _____. a. both are easily destroyed by heat. b. both are easily destroyed by ultraviolet light. c. though rare, both can be toxic when consumed in high amounts. d. both serve as coenzymes in energy metabolism. e. both are found in abundant amounts in pork.
Answers
Riboflavin is similar to thiamin in that option d: both riboflavin and thiamin serve as coenzymes in energy metabolism.
Riboflavin is similar to thiamin in that both serve as coenzymes in energy metabolism. Coenzymes are molecules that assist enzymes in carrying out their biological functions. In the case of riboflavin and thiamin, they play vital roles in the conversion of carbohydrates, fats, and proteins into usable energy for the body.
Riboflavin, also known as vitamin B2, is an essential nutrient found in various foods such as dairy products, meat, eggs, and leafy green vegetables. It is a water-soluble vitamin, meaning it dissolves in water and is not stored in the body to a significant extent. Therefore, it needs to be regularly replenished through the diet.
Thiamin, also called vitamin B1, is another water-soluble vitamin that plays a crucial role in energy metabolism. It is involved in converting glucose into energy and is found in foods like whole grains, legumes, nuts, and seeds.
Both riboflavin and thiamin work as coenzymes by participating in specific enzymatic reactions. They assist enzymes in catalyzing chemical reactions necessary for energy production. Riboflavin, in the form of its coenzyme derivatives flavin adenine dinucleotide (FAD) and flavin mononucleotide (FMN), acts as a carrier of hydrogen atoms in metabolic reactions. Thiamin, on the other hand, is converted into its active form, thiamin pyrophosphate (TPP), which plays a crucial role in the metabolism of carbohydrates.
Now, let's address the options mentioned in the question to understand how riboflavin is similar to thiamin:
a. both are easily destroyed by heat: While it is true that riboflavin and thiamin can be degraded by heat, riboflavin is more sensitive to heat than thiamin. Riboflavin is easily destroyed when exposed to high temperatures, such as during cooking or food processing. Thiamin, although also susceptible to heat, is relatively more stable.
b. both are easily destroyed by ultraviolet light: This statement is incorrect. Riboflavin is indeed sensitive to ultraviolet (UV) light, which is why it is often stored in opaque containers to protect it from light exposure. However, thiamin is not particularly affected by UV light.
c. though rare, both can be toxic when consumed in high amounts: While excessive intake of any nutrient can potentially be harmful, toxicity from riboflavin and thiamin is rare. These vitamins are considered safe for consumption in recommended amounts, and any excess is typically excreted in the urine.
d. both serve as coenzymes in energy metabolism: This statement is correct, as explained earlier. Both riboflavin and thiamin are essential coenzymes involved in energy metabolism.
e. both are found in abundant amounts in pork: While pork is a source of several nutrients, neither riboflavin nor thiamin is found in exceptionally high amounts in pork. Riboflavin is more commonly found in dairy products, while thiamin is abundant in whole grains and legumes.
In summary, the correct answer is option d: both riboflavin and thiamin serve as coenzymes in energy metabolism. They play important roles in converting food into energy and are essential for overall health and well-being.
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Patrick borrows $1400 from a bank with 10% simple interest each year. How much will patrick need to pay back in total in 2 years?.
Answers
Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280.
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 principal amount be = A
The value of A = $ 1400
Let the rate of interest be = r
The value of r = 10 %
Let the number of years = T
The value of T = 2 years
Now , the simple interest is calculated by the formula
Simple Interest = ( Principal Amount x Rate x Time Period ) 100
Substituting the values in the equation , we get
Simple Interest = ( 1400 x 10 x 2 ) / 100
Simple Interest = 14 x 20
Simple Interest = $ 280
Therefore , the simple interest in 2 years is $ 280
And , the total amount Patrick has to give back to the bank is given by the formula
Amount in 2 years = Principal + Interest
Amount in 2 years = 1400 + 280
Amount in 2 years = $ 1680
Therefore , the amount in 2 years is $ 1680
Hence , Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280
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let , be vectors in given by a) find a vector with the following properties: for any linear transformation which satisfies we must have . enter the vector in the form
Answers
If the result is zero, then we need to choose another vector and repeat the process. Therefore, we choose any non-zero vector and apply T to it.
Given, vectors , are given as:
We need to find a vector such that for any linear transformation T satisfying we must have , i.e.,
Here, is the null space of the linear transformation T.
Let us first find the basis for the null space of T.
Let be the matrix representing the linear transformation T with respect to the standard basis.
Since the columns of A represent the images of the standard basis vectors under T, the null space of A is precisely the space of all linear combinations of the vectors that map to zero.
Therefore, we can find a basis for the null space of A by computing the reduced row echelon form of A and looking for the special solutions of the corresponding homogeneous system.
Now, we need to find a vector which is not in the null space of T.
This can be done by taking any non-zero vector and applying T to it. If the result is non-zero, then we have found our vector.
If the result is zero, then we need to choose another vector and repeat the process.
Therefore, we choose any non-zero vector and apply T to it.
Let . Then,
Since this is non-zero, we have found our vector. Therefore, we can take as our vector.
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Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3)?
y = 1/2x - 4
y = 1/2 X-2
y = 1/2 x + 2
y = 1/2x + 3
Answers
A clock tower has a large bell that rings on the hour. The edge of the bell has a diameter of 4 yards. What is the edge's circumference?
Use 3.14 for . If necessary, round your answer to the nearest hundredth.
Answers
Answer:
Circumference of the edge is 12.56 yards
Step-by-step explanation:
\( { \rm{circumference = \pi d}} \\ { \rm{c = 3.14 \times 4}} \\ { \rm{c = 12.56 \: yards}}\)
Angel's net pay is 68%of her gross pay of $59, 600 per year. What is her monthly net pay? Show your work!
Answers
Answer:To find Angel's monthly net pay, we can use the following steps:
Calculate Angel's annual net pay:
Her net pay is 68% of her gross pay, so we can find her net pay by multiplying her gross pay by 0.68:
Net pay = Gross pay x 0.68
Net pay = $59,600 x 0.68
Net pay = $40,648
Divide Angel's annual net pay by 12 to find her monthly net pay:
Monthly net pay = Annual net pay / 12
Monthly net pay = $40,648 / 12
Monthly net pay = $3,387.33 (rounded to two decimal places)
Therefore, Angel's monthly net pay is $3,387.33.
Step-by-step explanation:
PLS HELP WRITE ABSOLUTE VALUE EQUATION FOR EACH GRAPH:
A)
B)
Answers
Answer:
Step-by-step explanation:
graph 1 : y = - |x +1| +1
graph 2: y = |x+1|
There are 100 people in a sport centre. 67 people use the gym. 62 people use the swimming pool. 56 people use the track. 38 people use the gym and the pool. 31 people use the pool and the track. 33 people use the gym and the track. 16 people use all three facilities. A person is selected at random. What is the probability that the person uses exactly one of the facilities?
Answers
Answer:
0.3 or 30%Step-by-step explanation:
Number of people using more than one sport facility:
38 - gym and pool31 - pool and track33 - gym and track16 - all threeSince 16 is counted for all three, total number of those using more than one facility is therefore:
38 + 31 + 33 - 16*2 = 70Number of people using exactly one facility is:
100 - 70 = 30Probability of the person using exactly one facility is:
30/100 = 0.3 or 30%what would be the effect on the trial balance if the purchase of marketable securities of $1,000 had been recorded to the equipment account in error? would the trial balance still be in balance?.
Answers
The effect on the trial balance if the purchase of marketable securities of $1,000 had been recorded to the equipment account in error is that the trial balance would not be in balance anymore.
A trial balance is a financial statement that summarizes all the accounts of a company's general ledger with its debit balances and credit balances to check if they are equal. When the purchase of marketable securities of $1,000 is recorded to the equipment account in error, this means that the entry was recorded in the wrong account. The equipment account would be overstated by $1,000 and there would be no change in the marketable securities account, thus leading to a mismatch between the total debit and credit amounts recorded. As a result, the trial balance would not be in balance anymore.
Explanation:A trial balance is a summary of all the accounts of a company's general ledger. It's a statement that lists all the debit balances in one column and all the credit balances in another column, which is used to confirm the accuracy of the accounts before preparing the financial statements of a company. The totals of both columns should match if the trial balance is correct. If not, it indicates an error that needs to be corrected.
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Question 5
5.) The dimensions of Amelia's garden are shown in the image below. She is calculating how many bags of
soll she should buy to cover the floor of the garden. At Bob's garden store, each bag will cover 25 square
meters of her garden?
Answers
Answer:
6
Step-by-step explanation:
I NEED HELP. PLEASE, THANKS! :)
a. Find the amplitude of a sinusoidal function that models this temperature variation.
b. Find the vertical shift of a sinusoidal function that models this temperature variation.
c. What is the period of a sinusoidal function that models this temperature variation?
d. Use t = 0 at 5 P.M. to write a sinusoidal function that models this temp. variation.
e. What is the model’s temperature at 10 A.M.? Compare this to the actual value?
Answers
Answer: (a) Amplitude = 19
(b) Vertical Shift = 59
(c) Period = 24
\(\bold{(d)\quad y=19\cos\bigg(\dfrac{\pi}{12}x\bigg)+59}\)
(e) The model = 50°, the actual value = 52°
Step-by-step explanation:
The equation of a cosine function is: y = A cos (Bx - C) + D where
Amplitude (A) is the distance from the center to the maximumPeriod (P) = 2π/B --> B = 2π/PPhase Shift = C/BCenter (D) is the vertical shift(a) Amplitude (A) = (Max - Min)/2
= (77 - 40)/2
= 37/2
= 18.5 (I rounded it up to 19)
(b) Vertical Shift (aka Center) (D)= (Max + Min)/2
= (77 + 40)/2
= 117/2
= 58.5 (I rounded it up to 59)
(c) Period (P) = 24
B = 2π/P
= 2π/24
= π/12
(d) There is no Phase Shift because the max is on the y-axis.
A = 19, B = π/12, C = 0, D = 59
⇒ y = 19 cos(π/12)x + 59
(e) let x = -2 (-2 represents 10 am on the graph)
⇒ y = 19 cos(π/12)(-2) + 59
= 19 cos (-π/6) + 59
= 19(-1/2) + 59
= -9.5 + 59
= 49.5
The model estimates the temperature at 10 am to be ≈ 50°
The actual temperature from the table is 52°
one number is 15 more than a second number.The sum of the number 115. What are the numbers?
Answers
The second number is 50
X= first number
Y= second number
X+Y= 115 > or 2y+15= 115 > subtract 15 from both side
2y= 100> divide by 2 on each side> y=50
There you have solved for y, now solve x
X= 50+15 > which is 65
So therefore, the first number is 65 and the second is 50.
If you want to find the energy quantum of light, you multiply the frequency of the radiation (v) by "h". What is "h"?
Answers
Answer:
H is E
Step-by-step explanation:
In the formula of the energy of photons "h" signifies Planck's constant.
What is Planck's constant?The Planck constant, often known as Planck's constant, is a crucial physical constant in quantum physics. The mass-energy equivalency establishes the relationship between mass and frequency, and the constant establishes the relationship between a photon's energy and frequency.
In the equation energy E = h X v. The "h" there signifies Planck's constant
Planck's constant is a value, that shows the rate at which the energy of a photon increases/decreases, as the frequency of its electromagnetic wave changes.
Therefore, in the formula of the energy of photons "h" signifies Planck's constant.
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ticket prices at an outdoor theatre performance are $2.50 for children and $5.00 for adults. one evening, $6350 is collected from a total of 1900 people attending. how many adults and how many children attend?:
Answers
As the ticket prices at an outdoor theatre performance are $2.50 for children and $5.00 for adults. one evening, $6350 is collected from a total of 1900 people attending. There are 640 adult and 1260 childrens.
Given in the questions:
Ticket price in outdoor Theater = $2.50
For Children = $5.00
Total tickets collected in evening = $6350(collected from 1900 people)
Let p be the adult and
1900 - p be the children's who attained the show.
Now,
2.5 × (1900- p) +5p = 6350
⇒ 4750 - 2.5p +5p =6350
⇒ 2.5p = 1600
⇒ p = 1600/2.5
⇒ p = 640
Since,
p = 640
Therefore,
1900 - p = children
⇒ Children = 1900 - 640
⇒ Children = 1260
Therefore, there are total 640 adults and 1260 children's in the theater.
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What is the equation of a line, in point slope form, that passes through (5, 3)and has a slope of ⅔
Answers
Answer:
y - 3 = 2/3(x - 5)
Step-by-step explanation:
Formula:
y - y1 = m(x - x1)
It doesn't apply to this problem but keep in mind that two negatives make a positive so instead of writing, for example, y - (-5), you can just write y +5.
Makes it a lot cleaner and easier to work with.
Hope this helps you :)
I will give you 5 stars and a brainlist.
Answers
Answer:
D.
Step-by-step explanation:
Answer: D.
this is the correct answer! pls give the other person who answered before me brainiest! (trying to help em out lol)
please someone help me with this problem
Answers
Answer:
x = 56
Step-by-step explanation:
The sum of a triangle add up to 180, so add all of the angles in the triangle and equate to 180
x + x + 7 + x + 5 = 180
collect like terms to simplify
3x + 12 = 180
subtract 12 on both sides
3x = 180 - 12
3x = 168
divide 3 on both sides
x = 168 ÷ 3
x = 56
Find the interest rate needed for an investment of $5,000 to grow to $8,000 in 9 years if interest is compounded continuously. (Round your answer to the nearest hundredth of a percentage point.)
Answers
The interest rate is 11.05%.
What is the interest rate?
The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.
Here, we have
Given: an investment of $5,000 to grow to $8,000 in 9 years if interest is compounded continuously.
We have to find the interest rate.
Investment = $5,000
Time(x) = 9 years
n = 12
Annual amount = $8,000
A = P(1+r/n)ⁿˣ
r = n(A/P)⁻ⁿˣ - 1
r = 12(8000/5000)⁻¹⁰⁸ - 1
r = 12(1.6)⁻¹⁰⁸ -1
r = 12(1.0043) - 1
r = 11.05%
Hence, the interest rate is 11.05%.
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Solve the compound inequality 6b < 36 or 2b + 12 > 6.
A. b<6 or b>6
B. b<6 or b>3
C. b > 6 or b < −3
D. b < 6 or b > −3
Answers
The solution to the compound inequality given as 6b < 36 or 2b + 12 > 6 is b < 6 or b > -3
How to solve the compound inequality?The compound inequality is given as:
6b < 36 or 2b + 12 > 6
Evaluate the like terms in the individual inequalities
6b < 36 or 2b > -6
Divide the individual inequalities by the coefficients of b
b < 6 or b > -3
Hence, the solution to the compound inequality given as 6b < 36 or 2b + 12 > 6 is b < 6 or b > -3
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The perimeter of a rectangular garden is 338 m.
If the width of the garden is 74 m, what is its length?
Answers
Answer:
l=95
Step-by-step explanation:
Perimeter is all the sides add up. So the equation if you know two of the sides, it should be: 338=(2*74)+(2*l)
Answer:
Step-by-step explanation:
the perimeter is 2w plus 2l
so 338 = 74(2)+2l
338 = 148+2l
190=2l
l=95
your length would be 95 m
Find the length of AB
Answers
Answer:
35.6 units
Step-by-step explanation:
By intersecting chords theorem:
10*x = 16*16
10x = 256
x = 256/10
x = 25.6
AB = 10 + x
AB = 10 + 25.6
AB = 35.6
Determine the value of the annuity for the indicated monthly deposit amount, the number of deposits, and the interest rate. You will need to determine the value for r to solve this problem. When finding r round it to the nearest ten thousandths. Deposit amount: $50; total deposits: 60; interest rate: 5%, compounded monthly The value for r is Answer The value of the annuity is $Answer
Answers
Answer:
$3,408.49
Step-by-step explanation:
To determine the value of the annuity, we need to use the formula for the future value of an ordinary annuity:
A = P * ((1 + r)^n - 1) / r
Where:
A = Value of the annuity
P = Monthly deposit amount
r = Interest rate per period (monthly interest rate in this case)
n = Total number of deposits
First, let's convert the annual interest rate of 5% to a monthly interest rate. We divide the annual interest rate by 12 (number of months in a year) and convert it to a decimal:
Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.0041667
Next, let's substitute the given values into the annuity formula:
P = $50
r = 0.0041667 (monthly interest rate)
n = 60
A = $50 * ((1 + 0.0041667)^60 - 1) / 0.0041667
Now we can calculate the value of the annuity using a calculator or spreadsheet:
A ≈ $50 * (1.0041667^60 - 1) / 0.0041667 ≈ $50 * (1.28370557 - 1) / 0.0041667 ≈ $50 * 0.28370557 / 0.0041667 ≈ $50 * 68.169768 ≈ $3,408.49
A container holds 20 red, 20 blue, and 10 green marbles.
is the probability of choosing a blue marble greater than or less than
the probability of not choosing a blue marble? Explain.
Answers
Answer:
the probability of choosing is blue marble is less than the probability of not choosing a blue marble
Step-by-step explanation:
the reasoning for this is that there are 50 marbles and only 20 of the 50 are blue. Which means that 30 are not blue. Since 30 is bigger and 20 (ie. there are more non-blue marbles than there are blue marbles), the probability of choosing a blue marble is less than the probability of not choosing a blue marble
Helppppp with this please
Answers
Answer:180
Step-by-step explanation:
hope this helps
Answer:
0.8 mm
Step-by-step explanation:
Given that you require the actual size.
The ant has been magnified by 15 X
To find the actual size divide magnified size by 15
actual size = 12 mm ÷ 15 = 0.8 mm