The procedure that cannot be used are:
A. Knowing that 3² + 4² = 5², draw any two sides with a right angle between them. The third side will fit to form a right triangle.
B.
Knowing that 3 + 4 > 5, draw the 3 cm side and the 4 cm side with a right angle between them. The 5 cm side will fit to form a right triangle.
C.
Knowing that 3 + 5 > 6, draw the 3 cm side and the 5 cm side with a right angle between them. The 6 cm side will fit to form a right triangle.
What is the Pythagorean theorem?The Pythagorean theorem states that the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
The hypotenuse of a a given triangle is usually longer that the other two sides.
Therefore, the correct procedure when lengths such as 3 cm, 4 cm, 5 cm, and 6 cm should be knowing that 3² + 4² = 5², draw the 3 cm side and the 4 cm side with a right angle between them. The 5 cm side will fit to form a right triangle.
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if x, y, and z are integers and xy z is an odd integer, is x an even integer? (1) xy xz is an even integer. (2) y xz is an odd integer. a) statement (1) alone is sufficient, but statement (2) alone is not sufficient. b) statement (2) alone is sufficient, but statement (1) alone is not sufficient. c) both statements together are sufficient, but neither statement alone is sufficient. d) each statement alone is sufficient. e) statements (1) and (2) together are not sufficient.
c) both statements together are sufficient, but neither statement alone is sufficient.
According to the question
The query asks if statements (1) and (2) by themselves are sufficient to determine whether x is an even number. The answer is that neither assertion by itself is adequate to ascertain what x is worth. However, when both claims are taken into account, they are adequate to decide whether or not x is an even number. This is due to the fact that if xyz is even and yz is odd, x must be even. If x were odd, both xy xz and y xz would be strange as well. Due to this, the proper response is "c) neither statement is adequate when read alone, but both assertions taken together are sufficient."
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Nolan invested $5,300 in an account paying an interest rate of 3.8% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $6,880?
With compound interest of 3.8% compounded annually it will take 7 years for the value of the account to reach $6,880.
What is Compound interest?
Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.
Formula to find compound interest:
A=P(1+r/n)^nt
Where,
A = amount
P = principal
r = rate of interest
n = number of times interest is compounded per year
t = time (in years)
Alternatively, we can write the formula as given below:
CI = A – P
Where CI=Compound Interest
Now,
As given
A=$6880
P=$5300
r=3.8%
n=1
t=?
Therefore,
The time it would take to become $6880 will be
6880=5300(1+3.8/100)^t
From here t=7 years
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Identify the lower class​ limits, upper class​ limits, class​ width, class​ midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Blood Platelet Count of Males ​(1000 ​cells/mu​L) Frequency 0​-99 3 100​-199 54 200​-299 76 300​-399 21 400​-499 0 500​-599 0 600​-699 1 Identify the lower class limits​ (in 1000 ​cells/mu​L).
1) The lower class limits: 100, 200, 300, 400, 500, 600 .
2) The upper class limits: 199, 299, 399, 499, 599, 699.
3) The class width: 100.
4) Class midpoints: 149.5, 249.5, 349.5, 449.5, 549.5, 649.5.
5) Class boundaries : 99.5, 199.5, 299.5, 399.5, 499.5, 599.5, 699.5.
6) The number of individuals included in the summary : 155
The lower class limit in each class: 0,100, 200, 300, 400, 500, 600.
The upper-class limit is the biggest value in each class.
so the upper-class limit is: 99, 199, 299, 399, 499, 599, 699.
As we know the class width is the difference between the lower limit of one class and the lower limit of the previous class.
For example, 300 is the lower limit of one class and the lower limit of the previous class is 200 , so 300 - 200 = 100.
We know that, the class midpoints are the average of the limits of a class.
So, using midpoint formula the class midpoints are:
[tex]\frac{100+199}{2} = 149.5\\\\\frac{200+299}{2} = 249.5\\\\\frac{300+3199}{2} = 349.5\\\\\frac{400+499}{2} = 449.5\\\\\frac{500+599}{2} = 549.5\\\\\frac{600+699}{2} = 649.5\\[/tex]
We know that the class boundaries are nothing but the end points of an open interval which contains the class interval.
So, the class boundaries for the first class = (99.5, 199.5)
the class boundaries for the second class = (199.5, 299.5)
the class boundaries for the third class = (299.5, 399.5)
the class boundaries for the fourth class = (399.5, 499.5)
the class boundaries for the fifth class = (499.5, 599.5)
The total of individuals is equal to the sum of all the frequencies of each class: 3 + 54 + 76 + 21 + 0 + 0 + 1 = 155
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The complete question is:
Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Blood Platelet Count of Males (1000 cells/muL) Frequency 0-99 3 100-199 54 200-299 76 300-399 21 400-499 0 500-599 0 600-699 1 Identify the lower class limits (in 1000 cells/muL).
help please all 4 problems
The equation of the slope is y = -5x + 72.
What is slope?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
Given that:
72 inches is the depth of the liquid level in water tank.
Water drains at a rate of 5 inches per minute.
Let y represent the tank's height, which is given as 72.
Let x be the total number of minutes, here x = 0.
Therefore, the slope's equation is the rate at which the water drains, that is:
m = -5
The equation of the line is given by the formula:
y = mx + c
Substitute the values:
72 = -5(0) + c
c = 72
And the equation is:
y = -5x + 72
Hence, the equation of the slope is y = -5x + 72.
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Help me please! (Worth 50 points!!!!)
Question 8: A system of equations is given.
-2y = 2 - 3x
-5y = 10 - 5x
Part 1: Use elimination to solve the system of equations & show all work.
Part 2: Identify the values for x & y by filling in the blanks below.
x = ______
y = ______
Answer:
Step-by-step explanation:
-2y=2-3x-5y=10-5x
-2y=10-5x
2-3x-5y-5x
(SIMPLIFY)
5x-2y=10
2x-5y=8
(MULTIPLY BOTH SIDES)
-25x-10y=-50
4x-10y=16
(ELIMINATE ONE VARIABLE BY ADDING THE EQUATIONS)
-21x=-34
(DIVIDE BOTH SIDES)
X=34/21
(SUBSTITUTE THE VALUE OF X)
2x34/21-5y=8
(SOLVE EQUATION)
Y=-20/21
(A POSSIBLE SOLUTION IS)
(X,Y)=(34/21 , -20/21)
(CHECK THE SOLUTION)
-2x(-20/21)=2-3x 34/21 - 5x (-20/21)=10-5 X 34/21
(SIMPLIFY)
40/21=40/21=40/21
(X,Y)= (34/21 , -20/21)
(SOLUTION)
What is the probability of flipping a coin 8 times and getting heads 2 times?
Round your answer to the nearest tenth of a percent.
OA. 21.9%
OB. 27.3%
OC. 3.1%
OD.
10.9%
SUBMIT
Answer:
10.9%
Step-by-step explanation:
You want to do the number of ways that can happen, which is [tex]_8C_2 = 28[/tex] divided by the total number of possibilities which is [tex]2^8[/tex] to get 10.9%
For the following right traingle, find the side length x. Round your answer to the nearest hundredth
Answer:
20
Step-by-step explanation:
(Hypotenuse)²=(Opposite)²+(Adjacent)²
(25)²=(15)²+(A)²
A²=625-225
A=✓400
A=20.00
how many ways are there to pick two successive cards (without replacement) from a normal 52 card deck so that: (a) the first is an ace and the second is not a queen?
There are 188 ways to pick one ace and next card as not a queen.
There are 4 aces in a normal 52 card deck, and once one is picked, there are 51 cards left.
If we want to pick two successive cards from a normal 52 card deck so that the first is an ace and the second is not a queen, we can use the following formula:
Number of ways = (number of aces) x (number of cards not a queen)
In this case, the number of aces is 4, and the number of cards not a queen is 47 (52 cards total - 4 queens - 1 ace that has been picked).
So the number of ways to pick two successive cards from a normal 52 card deck so that the first is an ace and the second is not a queen is 4 x 47 = 188.
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solve (4+8x) over 12x
Answer:
C
Step-by-step explanation:
(4+8x)/12 simplifies to (1+2x)/3x
The group of linear function is shown on the coordinate grid. What is the slope of the line?
Answer:
what grid
Step-by-step explanation:
find an equation of a plane containing the three points (3, -1, -2), (1, -6, -4), (1, -5, -2) in which the coefficient of is -8.
The phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this* equation be used to find the original price of the phone case? If so, what is the original price of the item? Explain.
*The equation in question - (0.7c) = 42
Please hurry!
Answer:
Step-by-step explanation:
The selling price of a phone case with a 25% coupon is $56 and the original selling price of the phone case without any discount is $80.
What is the selling price?
The price at which an article is sold is known as the selling price of that article.
Given that you have a 25% off coupon and paid $42.00 for a phone case. The phone case was marked down 30%. So,
Let's consider that you use a 25% off coupon and then paid $42 for the phone case. The price of phone case including coupon is,
75 % of price = $42.00
100% of price =
h. Write a decimal number and a fraction commonly used as
approximations
for pi.
The decimal number and the fraction commonly used as approximations for pi are 3.142 and 22/7
How to determine the decimal and the fraction?from the question, we have the following parameters that can be used in our computation:
pi
The pi variable is a mathematical constant that has the following fractional value
pi = 22/7
When converted to decimal in 3 decimal places, we have
pi = 3.142
Hence, the representations are 22/7 and 3.142
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A pair of sneakers costs $46.99. You have a coupon for 15% off. What is the total cost of the sneakers after 5% sales tax is included?
Answer:
The cost of the sneakers after the coupon is applied would be $46.99 - ($46.99 * 15%) = $39.94.
The total cost of the sneakers after 5% sales tax is included would be $39.94 + ($39.94 * 5%) = $41.94
Answer: $41.94
15% off means the sneakers are at 85% of it's original price.
85% = 0.85
$46.99 x 0.85
= $39.94 after 15% coupon
5% sales tax means you are adding 5% to the price.
105% = 1.05
$39.94 x 1.05
$41.94, after the coupon and sales tax.
I'm a bit Confused on this math problem could someone help me please? thanks if you do! :D
Answer:
Step-by-step explanation:
Alright so let me try and explain this as best as I can:
So the graph isn't linear because the graph shows a parabola (a boomerang kind of shape that happens if you use an exponent somewhere in a y=mx+b formula if I remember correctly) and not a straight line. Linear graphs cannot curve, and this one does. Not sure why it it would be a function though. Assuming the answer chosen is correct, my best guess as to why it might be a function is because it continues to go in the same direction forever, there is a predictable amount of change between each point and you can follow a formula to find every point on the graph.
I really hope this helps a little!
Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing AB?
Triangles X Y Z and A B C are congruent. Triangle X Y Z is reflected across a line to form triangle A B C. It is also slightly higher than triangle A B C.
Triangles A B C and A Y C are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C.
Triangles A B C and X Y Z are congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C.
Triangles A B C and X Y Z are congruent. Triangle A B C is rotated to the right to form triangles X Y Z. Triangle X Y Z is also higher and to the right of triangle A B C.
( the answer is not B )
The triangle pairs that can be mapped to one another using both a translation and a reflection across the line containing AB will be A based on the provided information. Triangles A B C and X Y Z are similar. Triangle A is created by reflecting triangle X, Y, and Z across a line. The correct option is A.
What is the Triangles about?The first triangle pair is a pair that can be mapped to one another using both translation and reflection across a line containing AB.
The first figure is made up of the coordinates XYZ and ABC, which are translations and reflections of one another across the line AB.
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Answer: it is A
Step-by-step explanation: just took the test
Write your answer as a fraction or whole number without exponents.
4 ^–1 =
The index form 4 ^–1 as a fraction or whole number without exponents is 1/4
What are index forms?The index form of a number described as the number that is written as an exponential expression
Index forms are also described as a single number that is raised to another number or variable.
The index or exponent of an exponential expression shows how many times to multiply the base by itself in the expression.
From the information given, we have the index form as;
4^-1
This is represented as a fraction;
1/4^1
Note that any number that is raised to 1 is equal to the number
1/4
Hence, the value is 1/4
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HELPPPPPPPPPPPP DUE IN 20 MIN
Answer: D
Step-by-step explanation: the amount per cashews (c) is $2.45. Therefore, its 2.45c
The amount per pounds of sugar is $0.61. Therefore, its 0.61s
And, since its "buying" (basically, adding), you gotta add them. So, the answer would be: 2.45c+0.61s
A number increased by 7 gives 20, what is the number?with steps pls
Answer: 13
Step-by-step explanation:
13+7= 20
Answer:
The number is 13.
Step-by-step explanation:
"A number" is a number we don't know to begin with. It should be represented by a variable. Let's use n. We'll probably be trying to find this number.
"increased by" usually means that there is adding going on here.
So far, we have:
n + 7
that is algebra for "A number increased by 7"
"gives 20" is a little strange wording, but it means yields or equals.
So now we have the whole equation:
n + 7 = 20
To solve, subtract 7 from both sides (of the equal sign)
n = 20 - 7
n = 13
The number is 13.
Check:
13 increased by 7 gives 20?
13 + 7 = 20 ?
20 = 20 ✔Yes! Done!
I think of a number. I halve it and multiply it by 4. my answer is 40. What is the number? pls it's needed urgently due in 10mins
Answer:
The number is 20
Step-by-step explanation:
First we have n, then n/2, then 4n/2, which equals 40. Thus, we have 2n=40, or n=20 which is the number.
Answer:
20
Step-by-step explanation:
Using suitable identity evaluate the following:
(i) 98³
(ii) 188 × 212
(i) 98³
(100-2)³
100³ + 2³ + 3(100*2)(100+2)
[by using the equation (a-b)3=a3+b3+3ab(a+b)]
1000000+8+(600*102)
The solution is 1000008+61200 1061208.
(ii) 188 × 212 = 39856
Given:
The ratio of 188 to 212
To locate
the importance of adopting a proper identity
Equation: (a + b) = (a2 - b2 ( a - b )
Solution:
Phase 1 of 2:
Note the supplied expression in writing.
The formula is 188 212. Step 2 of 2:
Find the expression's value.
188 × 212\s= ( 200 - 12 ) × ( 200 + 12 )
= ( 200 + 12 ) × ( 200 - 12 ) ( 200 - 12 )
= 200² - 12²
= 40000 - 144
= 39856
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your colleague has built a model to show how the weather has an impact on daily sales of ice cream in your shop. the variable that tells you what the weather was like, is known as what?
Answer:
Independent variable. cause the sales will be depending upon the weather.
Step-by-step explanation:
Noah drew a pentagon with sides of length 1 inches. He wants to increase the length of each side by x inches so the pentagon is still a pentagon and has a perimeter of 25 inches.
The value of x that will give a perimeter of 25 inches is 4 inches
How to find the value of x that will give a perimeter of 25 inches?
The perimeter of a pentagon is the sum of the lengths of all its sides. The formula to calculate the perimeter of a pentagon is:
P = 5L
where is the side length
Initially, the sides of length, L is 1 inches
Now, we increase L by x and perimeter is 25 inches. Thus, can write:
25 = 5(1 + x)
25 = 5 + 5x
5x = 25 - 5
5x = 20
x = 20/5
x = 4 inches
Therefore, the value of x is 4 inches
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Help please!
Select ALL the equation with the same y-intercept.
The equations with the same y-intercept are y = 9x + 2, y = 8x + 2, y = 3x + 2 and y = (1/4)x + 2.
How to determine the equation with the same y-intercept?
The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system
The slope-intercept form of the equation of a line is y = mx+b,
where m is the slope and b is the y-intercept
Let's compare the given equations with y = mx+b:
y = 5x - 2, y-intercept (b) = -2
y = 9x + 2, y-intercept (b) = 2
y = 8x + 2, y-intercept (b) = 2
y = 3x - 7, y-intercept (b) = -7
y = 3x + 2, y-intercept (b) = 2
y = 3x + 4, y-intercept (b) = 4
y = (1/4)x + 2, y-intercept (b) = 2
Therefore, y = 9x + 2, y = 8x + 2, y = 3x + 2 and y = (1/4)x + 2 have the same y-intercept
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Mai says that the equation 2x + 2 = x + 1 has no solution because the left hand side is double the right hand side. Do you
agree with Mai
No, the equation 2x + 2 = x + 1 has solution which is equal to x = -1.
Mia gave statement for the equation:
Left hand side is double the right hand side implies it has no solution.
2x + 2 = x + 1
Verification for the solution:
Simplify the above equation by subtracting 'x' both the sides we get,
⇒ 2x - x + 2 = x - x + 1
⇒ x + 2 = 1
Now subtract '2' from both the sides of the equations we get,
⇒ x + 2 - 2 = 1 - 2
⇒ x = -1
The above equation has no solution is incorrect statement.
Therefore, the equation 2x + 2 = x + 1 has no solution is wrong statement as the solution is given by x = -1.
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Which decimal number is less than 1.4 and greater than 1.35?
A. 1.34
B. 1.39
C.1.40
D. 1.53
Answer:
B
Step-by-step explanation:
The decimal number less than 1.4 and greater than 1.35 is A = 1.39
What are decimal numbers?The decimal numbers can only be expressed as fractions since they contain a fractional component. The accepted method for representing both integer and non-integer numbers is the decimal numeral system. There are 10 single-digit numbers in the decimal system:
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. After the number 9, comes 10, then comes 11, then 12, and so on. Each time the digit to the right exceeds 9, the number on the left is increased by 1.
Given data ,
Let the decimal number be represented as A
Now , the value of A is
Let the first number be p = 1.4
Let the second number be q = 1.35
Now , q < A < p
The value of A is less than 1.4 and greater than 1.35
So , A = 1.39
Hence , the decimal number is A = 1.39
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using a systematic sample guarantees that members of each group within a population will be sampled. question content area bottom part 1 choose the correct answer below. a. true. b. false. using a stratified sample guarantees that members of each group within a population will be sampled. c. false. using a cluster sample guarantees that members of each group within a population will be sampled.
The correct answer is option B : False. Using a stratified sample guarantees that members of each group within a population will be sampled. and true statement is "Using a random sample guarantees that members of each group within a population have an equal chance of being sampled".
False. Using a systematic sample does not guarantee that members of each group within a population will be sampled. A systematic sample is a type of probability sampling in which a random starting point is chosen and then every nth item is selected from the population. This can lead to bias if the population contains patterns or cycles.
A true statement would be: "Using a random sample guarantees that members of each group within a population have an equal chance of being sampled."
The given statement is False
The correct form is given below-
Using a random sample guarantees that members of each group within a population have an equal chance of being sampled.
Thus, The correct answer is option B : False. Using a stratified sample guarantees that members of each group within a population will be sampled. and true statement is "Using a random sample guarantees that members of each group within a population have an equal chance of being sampled".
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Write the explicit formula for each geometric sequence.
Then determine the 8th term of each sequence.
Show work below.
Part A) 4, 16, 64, 256,...
Answer: The explicit formula for a geometric sequence is given by:
an = a1 * r^(n-1)
Where a1 is the first term, r is the common ratio, and n is the term number.
Part A) In this sequence, the first term is 4, and the common ratio is 4/1 = 4.
So the explicit formula for this sequence is:
an = 4 * 4^(n-1)
To find the 8th term of this sequence, we can substitute n = 8 into the formula:
a8 = 4 * 4^(8-1)
a8 = 4 * 4^7
a8 = 4 * 16,384
a8 = 65,536
Therefore, the 8th term of this sequence is 65,536.
Step-by-step explanation:
Which sentence uses correct punctuation?
A. Exercise and diet; these are the keys to living a long life.
O
B. There are three places I want to visit: Japan, India, and France.
C. Mara wished she could visit the stars: she often dreamed of it.
D. Dr. Chu has this to say about sugar; "Only eat small amounts."
Answer:
C. Mara wished she could visit the stars: she often dreamed of it.
Taylor and Raimi each earn an hourly wage. Taylor earns $308 for working 14 hours. Raimi earns $288 for working 12 hours. Which person earns more per hour?