The answers to the questions are as follows: 1: FD = 1.1. 2: 25%. 3: There is a weak, negative linear association. 4: scatter plot with points plotted at 1,9, 3,7, 4,5, 4,6, 5,3, 6,4, 7,4, 8,4, 9,2, and 10,1, with a line drawn through 7,4 and 9,2.
Question 5: 90° clockwise rotation. 6: y = one-half times x minus 3. 7: Reflection across the x-axis and 8: option B. is the answer.
How did we arrive at these values?Going through each question step by step:
1. (Similar Triangles):
Triangle ABC is similar to triangle DEF. We are given the measurements of sides AB, CA, BC, and DE. However, more information to determine the measurement of side FD. Without additional information or ratios between corresponding sides, calculate the length of FD. The correct answer is: FD=1.1.
2. (Experimental Probability):
To find the probability of no heads, we need to find the frequency of outcomes where no heads occur. Looking at the table, we see that "Tails, Tails" occurs 50 times. The total number of trials is 200. Therefore, the probability of no heads is 50/200 = 25%. The correct answer is: 25%.
3. (Scatter Plots):
The scatter plot displays the relationship between the number of cupcakes and the cost per cupcake. By examining the plotted points, we can see that as the number of cupcakes increases, the cost per cupcake generally decreases. This indicates a negative association. However, the association is not very strong since the points do not form a perfect straight line. The correct answer is: There is a weak, negative linear association.
4. (Line of Fit):
The scatter plot shows a set of points. To determine which graph represents a line that fits the data, we need to examine the plotted points. Looking at the options, the scatter plot with a line drawn through the points (7,4) and (9,2) seems to follow the general trend of the data points. The correct answer is: scatter plot with points plotted at 1,9, 3,7, 4,5, 4,6, 5,3, 6,4, 7,4, 8,4, 9,2, and 10,1, with a line drawn through 7,4 and 9,2.
5. (Identifying Transformations):
The graph shows the original polygon ABCD in quadrant 1 and the transformed polygon A'B'C'D' in quadrant 4. By comparing the coordinates of corresponding points, we can observe a clockwise rotation of 270°. The correct answer is: 270° clockwise rotation.
6. (Linear Relationships):
A proportional relationship between two variables means that they are directly proportional, or in other words, they have a constant ratio. Looking at the given options, "y = one-half times x" represents a proportional relationship since the coefficient of x is the constant ratio. The correct answer is: y = one-half times x.
7. (Reflections):
The graph displays two polygons, ABCDE and A'B'C'D'E'. By comparing the coordinates of corresponding points, we can observe that the transformation results in a reflection across the x-axis. The correct answer is: Reflection across the x-axis.
8. (Graphing Linear Equations):
The painter pays $60 for supplies, which is a fixed cost, and charges $20 per room painted, which is a variable cost. This relationship can be represented by a linear equation. To graph it, we can plot the fixed cost of $60 as the y-intercept (0, 60) and use the slope of $20 per room to find additional points. The correct answer is: a coordinate grid with the x-axis labeled "rooms painted" and the y-axis labeled "amount of money earned" and a line going from the point (0, 60) through the point (3, 120).
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Answer:
Step-by-step explanation: the answer is opstion 3
There are 4 pink, 5 yellow, 2 violet and 3 gray marbles
in a hat. You pick 2 marbles from the hat. Marbles are
NOT returned to the hat.
P(pink, then violet)
P(gray, then gray)
P(not yellow, not yellow)
P(yellow, not yellow)
================================================
Work Shown for problem 1
P(pink, then violet) = P(pink)*P(violet given 1st was pink)
= (4/14)*(2/13)
= 8/182
= 4/91
------------------------------
Work Shown for problem 2
P(gray, then gray)
= P(gray)*P(gray given 1st was gray)
= (3/14)*(2/13)
= 6/182
= 3/91
-------------------------------
Work Shown for problem 3
P(not yellow, not yellow)
= P(not yellow)*P(not yellow given 1st was not yellow)
= (9/14)*(8/13)
= 72/182
= 36/91
-------------------------------
Work Shown for problem 4
P(yellow, not yellow)
= P(yellow)*P(not yellow given 1st was yellow)
= (5/14)*(9/13)
= 45/182
If samuel has 63 apples and wants to divide them between 7 kids, how would he be able to accomplish that?Just kafd
Answer:
9
Step-by-step explanation:
so basically, the paragraph states that he has 63 apples and wants to divide them between 7 kids
This shows a clear example of simple division
In this case...
63 divided by 7 equals 9
I hope this helps!!
Answer: He would give 9 apples to each kid.
Step-by-step explanation:
We are given that Samuel has 63 apples.
We are also given that he wants to divide them between 7 kids.
To solve this you would create a division problem:
63 ÷ 7 = ?
You can solve this by completing long division or using a calculator.
You find that 7 * 9 = 63
63 ÷ 7 = 9
You can also draw 63 apples (or circles) and divide them into 7 groups. The result will be that each group will have 9 apples.
There are 4, 6, and 7 points on three lines. How many triangles with vertices at these points are possible?
Carrie was 4ft 11in tall last year. She grew 6 in the past year. How tall is she now?
Answer:
5 feet 5 inches tall
Step-by-step explanation:
hoPE this help
What is the allusion:
"I don't know if this store carries shoes in your size, Sasquatch," my dad joked when we went shopping for another new pair of shoes, my second pair in two
months.
Shoes
Dad
Sasquatch
Two Months
The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.
The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.
The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.
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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 350 people entered the park, and the admission fees collected totaled $950.00. How many children and how many adults were admitted?
Answer:
Step-by-step explanation:
Children: x
Adults: y
x+y=350 and 1.5x+4y= 950
Solving the system of equations we get: x=180 and y=170
Let's use the following variables:
Let's call the number of children who entered the park "c"
Let's call the number of adults who entered the park "a"
We can set up two equations based on the information given:
The total number of people who entered the park is 350:
c + a = 350
The total admission fees collected is $950:
1.5c + 4a = 950
We can use the first equation to solve for one of the variables in terms of the other:
c = 350 - a
Now we can substitute this expression for "c" into the second equation:
1.5(350 - a) + 4a = 950
Expanding and simplifying:
525 - 1.5a + 4a = 950
2.5a = 425
a = 170
We can use this value to solve for "c" using the first equation:
c + 170 = 350
c = 180
Therefore, 180 children and 170 adults were admitted to the park.
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There are 4, 6, and 7 points on three lines. How many quadrilaterals with vertices at these points are possible?
The total number of possible quadrilaterals is 2,380 - 12 - 168 = 2,200.
To count the number of possible quadrilaterals with vertices at these points, we need to consider the different combinations of points that form the quadrilaterals.
To do this, we can use the formula for the number of combinations of k items from a set of n items, which is n choose k, denoted as nCk.
First, we need to choose 4 points from the total of 4+6+7=17 points. This is equivalent to calculating 17C4 = (17x16x15x14)/(4x3x2x1) = 2,380.
However, not all combinations of 4 points will form a quadrilateral. Some combinations may form a line or a triangle instead. We need to subtract the number of combinations that form a line or a triangle.
For a line, there are 3 choices of lines to choose from and 4 points on each line, so there are 3x4 = 12 combinations that form a line.
For a triangle, there are also 3 choices of lines to choose from, and we need to choose 1 point from each line.
This is equivalent to 4C1 x 6C1 x 7C1 = 4x6x7 = 168 combinations.
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what similarity is it when triangles are similar if they have two congruent angles
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
Gershoms,willy and fedrick jog around a circular temple.they complete their rounds in 24seconds,48seconds and 42seconds respectively. After how many minutes will they be together at the starting point
To find the time when they will be together at the starting point, we need to find the least common multiple (LCM) of their individual times.
The LCM of 24, 48, and 42 can be found by prime factorizing each number:
24 = 2^3 × 3
48 = 2^4 × 3
42 = 2 × 3 × 7
The LCM is the product of the highest powers of all the prime factors involved:
LCM = 2^4 × 3 × 7 = 168
Therefore, they will be together at the starting point every 168 seconds.
To convert this to minutes, we divide by 60:
168 seconds ÷ 60 = 2.8 minutes
Therefore, they will be together at the starting point every 2.8 minutes.
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An interior designer is redecorating a room that is 26 feet long by 18 feet wide by 9 feet high. At one end of the room is a door that is 6 feet 6 inches high and 4 feet wide. One of the walls contains 2 windows, each of which is 2 feet wide by 2 feet 6 inches high.
A: How much will it cost to carpet the floor if the carpet sells for $18.00 a square yard? $
B: How much will it cost to wallpaper all four walls if wallpaper costs $0.75 per square foot? $
C: How much will it cost to paint the ceiling using paint that sells for $25 per gallon if a quart of paint will cover 88 square feet? $
D: What will be the cost of the entire project? $
Answer: A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
Step-by-step explanation:
To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.
Given dimensions:
Room length: 26 feet
Room width: 18 feet
Room height: 9 feet
Door dimensions:
Height: 6 feet 6 inches
Width: 4 feet
Window dimensions (each):
Width: 2 feet
Height: 2 feet 6 inches
A: Carpeting the floor:
To find the area of the floor, we multiply the length and width of the room:
Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.
To convert to square yards (since the carpet is sold per square yard), we divide by 9:
Floor area in square yards = 468 square feet / 9 = 52 square yards.
Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.
B: Wallpapering the walls:
To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:
Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.
Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.
C: Painting the ceiling:
To find the area of the ceiling, we multiply the length and width of the room:
Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.
Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:
Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.
Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.
Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.
D: Cost of the entire project:
Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling
= $936.00 + $297.00 + $33.25 = $1266.25.
Therefore:
A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
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help w geometry.. will give brainliest answer
Answer:
x=7
m<CBD=46° m<BDC=65°
m<BCD=69° m<JBC=134°
It is a scalene or acute triangle
Step-by-step explanation:
19x+1=9x+6+65
19x=9x=6+65-1
10x=70
x=7
m<CBD=180-(9(7)+6+65)
m<CBD=46
m<BDC is given. 65
m<BCD=9(7)+6
m<BCD=69
m<JBC=19(7)+1
m<JBC=134
(Also, can do 180-46=134)
All three sides are different and all three angles are less than 90. Therefore, it is a scalene or acute triangle
Help!! a^n+3 -3a^n+2 -4a^n+1 -a^n by -a^n x²
[tex] \bold{a {}^{n + 3} - 3a {}^{n + 2} - 4a {}^{n + 1} - a {}^{n} \: \: by \: \: - a {}^{n} \: \: x {}^{2} }[/tex]
Step by step explanation :Case of multiplication of a Polynomial by a monomial. The rule says that, to multiply the monomial by each of the terms of the polynomial, taking into account the law of signs, separating the partial products with their own signs. That is, we apply the Distributive Law of multiplication.
Then, we will solve by Distributive law.
[tex]\bold{(a {}^{n + 3} - 3a {}^{n + 2} - 4a {}^{n + 1} - a {}^{n})( \: \: - a {}^{n} \: \: x {}^{2} ) }[/tex]
[tex] \sf{a {}^{n + 3}( - a {}^{n}x {}^{2}) - 3a {}^{n + 2}( - a {}^{n}x {}^{2}) - 4a {}^{n + 1} ( - a {}^{n} x {}^{2} ) - a {}^{n} ( - a {}^{n} x {}^{2}) }[/tex]
[tex] \sf{ - 1 \cdot 1a {}^{n + 3 + n}x {}^{2} + 3 \cdot1 a{}^{n + 2 + n}x {}^{2} + 4 \cdot1a {}^{n + 1 + n}x {}^{2} + 1 \cdot1a {}^{n + 2}x {}^{2} }[/tex]
[tex]\bold{ Answer}=\sf{- a {}^{2n + 3} x {}^{2} + 3a {}^{2n + 2}x {}^{2} + 4a {}^{2n + 2}x {}^{2} + a {}^{2n} x {}^{2}} [/tex]
Which expressions are equivalent to 5(x+7)-3(x-4)? Select three options.
05-3x+35-12
01/x+35-11/2x+12
5(x) + (5) (7) - (3) 1×x) + (3) (4)
01/x+35-11/2x-12
Answer:
3rd option
Step-by-step explanation:
there is no division so automatically take out the second and fourth options
A sales manager of a large insurance company collects the data on annual insurance sales ($1000s) and years
of experience of salespersons. (a) Define explanatory and response variables.
Answer:
Explanatory variable: Years of experience
Response Variable: Annual insurance rates
Step-by-step explanation:
As the years of experience increase, the annual insurance sales also increase. So annual insurance rates depend on the years of experience.
Consequently, years of experience is the explanatory variable while insurance rates is the response variable
Drag the dot to graph
-4 -3 -2
4
3-
2
1
-2
-3
-4-
39
1
2
3
C
2
3
32
4
X
●
Step-by-step explanation:
try this option (see the attached picture); the required point is marked with red colour.
simplify: 3-10+9•7
(a)-70
(b)14
(c) -130
(d)56
Answer: The answer is (d) 56
Step-by-step explanation:
543546, 30011, 3004, 12007, 7008, what's the next sequence
Answer:
To determine the next number in the sequence, let's analyze the differences between consecutive terms:
30011 - 543546 = -513535
3004 - 30011 = -27007
12007 - 3004 = 9003
7008 - 12007 = -5001
The differences alternate between negative and positive values. Based on this pattern, we can assume that the next difference will be negative.
To find the next term, we subtract the next difference from the last term:
7008 - (-5001) = 7008 + 5001 = 12009
Therefore, the next number in the sequence is 12009.
Which graph represents the solution of y ≤ x^2 + 1 and x > y^2 – 5?
The graph that represents the given inequalities are attached below.
To find the solution graph of the inequalities y ≤ x² + 1 and x > y² – 5, you would first graph the equations y = x² + 1 and x = y² – 5 separately.
The inequality [tex]y \leq x^2 + 1[/tex] represents the shaded region below the graph of the equation y = x² + 1.
This region includes the curve and all the points below it.
The inequality x > y² – 5 represents the shaded region to the right of the graph of equation x = y² – 5. This region includes the curve and all the points to the right of it.
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In the figure mZ1= (3x) and mZ2=(x+72)
The measure of angle Z1 is equal to 3 times the value of x, and the measure of Angle Z2 is equal to x plus 72.
The measure of angle Z1 is equal to 3 times some value x, and the measure of angle Z2 is equal to the sum of that value x and 72.
To clarify, it seems that we are dealing with two angles, Z1 and Z2, and their measures are expressed in terms of a variable x.
the given information:
- mZ1 = 3x
- mZ2 = x + 72
These equations indicate that the measure of angle Z1 is equal to 3 times the value of x, and the measure of angle Z2 is equal to x plus 72.
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Jill has graded 45% of her assessments. She has 27 assessments graded, how many total assessments does she need to gradE?
Answer:
Step-by-step explanation:
let total number of assessments = x
45% of total assessments = 27
(45/100)*x =27
x=60
Susan Marciano invested part of her $32,000
bonus in a fund that paid a 9% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,680.
The amount invested at 9%?
The amount invested in stock?
Answer:
$22,000 was invested at 9%.
$10,000 was invested in stock.
Step-by-step explanation:
Set up the equations:
x + y = $32,000 (equation 1)
0.09x - 0.03y = $1,680 (equation 2)
Solve equation 1 for x:
x = $32,000 - y
Substitute the expression for x in equation 2:
0.09($32,000 - y) - 0.03y = $1,680
Simplify equation 2:
$2,880 - 0.09y - 0.03y = $1,680
Combine like terms:
-0.12y = $1,680 - $2,880
Simplify further:
-0.12y = -$1,200
Divide by -0.12 to solve for y:
y = $10,000
Substitute the value of y back into equation 1 to solve for x:
x + $10,000 = $32,000
Simplify equation 1:
x = $22,000
The solution is:
$22,000 was invested at 9% profit.
$10,000 was invested in stock.
I need help please!
a) The binomial probability distribution is solved
b) The mean is 3 and standard deviation is 1.2247
c) The mean is 3 and standard deviation is 1.2247
Given data ,
a)
To construct a binomial probability distribution, we can use the binomial probability formula:
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
n = 5
p = 0.5
For x = 0:
P(X = 0) = (6C0) * (0.5^0) * ((1 - 0.5)^(6 - 0)) = 1 * 1 * 0.015625 = 0.015625
For x = 1:
P(X = 1) = (6C1) * (0.5)¹ * ((1 - 0.5)⁽⁶⁻¹⁾) = 6 * 0.015625 = 0.09375
For x = 2:
P(X = 2) = (6C2) * (0.5^2) * ((1 - 0.5)^(6 - 2)) = 15 * 0.015625 = 0.234375
For x = 3:
P(X = 3) = (6C3) * (0.5^3) * ((1 - 0.5)^(6 - 3)) = 20 * 0.015625 = 0.3125
For x = 4:
P(X = 4) = (6C4) * (0.5^4) * ((1 - 0.5)^(6 - 4)) = 15 * 0.015625 = 0.234375
For x = 5:
P(X = 5) = (6C5) * (0.5^5) * ((1 - 0.5)^(6 - 5)) = 6 * 0.015625 = 0.09375
For x = 6:
P(X = 6) = (6C6) * (0.5^6) * ((1 - 0.5)^(6 - 6)) = 1 * 0.015625 = 0.015625
Thus, the binomial probability distribution for the given table is as follows:
x: { 0, 1, 2, 3, 4, 5, 6 }
y: { 0.015625, 0.09375, 0.234375, 0.3125, 0.234375, 0.09375, 0.015625 }
b)
The mean is μ = Σ [ x P ( x ) ]
μ = (0 * 0.015625) + (1 * 0.09375) + (2 * 0.234375) + (3 * 0.3125) + (4 * 0.234375) + (5 * 0.09375) + (6 * 0.015625)
μ = 0 + 0.09375 + 0.46875 + 0.9375 + 0.9375 + 0.46875 + 0.09375
μ = 3
The standard deviation σ = √Σ (x²P(x) - μ ²)
Σ(x^2 * P(x)) = (0^2 * 0.015625) + (1^2 * 0.09375) + (2^2 * 0.234375) + (3^2 * 0.3125) + (4^2 * 0.234375) + (5^2 * 0.09375) + (6^2 * 0.015625)
= 0 + 0.09375 + 0.9375 + 2.8125 + 3.75 + 2.34375 + 0.65625
= 10.59375
Now, we can calculate the standard deviation:
σ = √(Σ(x^2 * P(x)) - μ^2)
σ = √(10.59375 - 3^2)
σ = √(10.59375 - 9)
σ = √(1.59375)
σ ≈ 1.261
Therefore, the standard deviation (σ) is approximately 1.261.
c)
To find the mean (μ) and standard deviation (σ) of a binomial probability distribution, we can use the following formulas:
Mean (μ) = n * p
Standard Deviation (σ) = sqrt(n * p * (1 - p))
Given the values n = 6 and p = 0.5, we can calculate the mean and standard deviation as follows:
Mean (μ) = 6 * 0.5 = 3
Standard Deviation (σ) = sqrt(6 * 0.5 * (1 - 0.5)) = sqrt(1.5) ≈ 1.2247
Hence , the mean of the binomial probability distribution is 3 and the standard deviation is 1.2247.
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Can someone answer this question?
The domain and range of the given piecewise function are (-∞, ∞) and [-10, ∞) respectively.
Given a function shown in the graph.
We have to find the domain and the range of the function.
Domain is the set of all x values for which the function is defined.
Range is the set of all the y values for the x values in the domain.
Here the function is quadratic.
The function is defined for all the real numbers.
Domain is thus (-∞, ∞).
y values ranges down from ∞ to -10 and then again goes up to ∞.
So range = [-10, ∞)
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The formula for an account that earns
compound interest is Pt = P0 ⋅ (1 + r)
t
,
where Pt
represents the balance in the
account after t years, P0 represents the
initial amount of the deposit, and r
represents the interest rate.
Carrie is considering depositing $1480 into
an account that pays compound interest.
How much will be in her account if she
receives 1.9% compound interest for
10 years? Round to the nearest cent.
After 10 years with a Compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.
The amount that will be in Carrie's account after 10 years with compound interest, we can use the formula Pt = P0 ⋅ (1 + r)^t.
Given:
P0 = $1480 (initial deposit)
r = 1.9% = 0.019 (interest rate as a decimal)
t = 10 (number of years)
Substituting these values into the formula, we get:
Pt = $1480 ⋅ (1 + 0.019)^10
Using a calculator, we can evaluate the expression inside the parentheses:
(1 + 0.019)^10 ≈ 1.201223
Now we can calculate the final amount in Carrie's account:
Pt ≈ $1480 ⋅ 1.201223
Pt ≈ $1777.87
Therefore, after 10 years with a compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.
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AABC is dilated by a factor of 2 to produce ▲A'B'C'. Which statement is not true? 62⁰ 34 16 A 28° 30
The statement that is not true is (a) A = 74 degrees
How to determine which statement is not true?From the question, we have the following parameters that can be used in our computation:
The dilation of ABC by a scale factor of 2
This means that
Scale factor = 2
The general rule of dilation is that
Corresponding sides are similar i..e they have the same ratioCorresponding angles are equalusing the above as a guide, we have the following:
AC = 2 * 5 = 10
C = 53 degrees
BC = 2 * 3 = 6
A = 37 degrees
Hence, the statement that is not true is (a) A = 74 degrees
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C 1 Adam is arranging flowers. Three of the 12 total flowers are tulips. Which shows the ratio of tulips to flowers that are NOT tulips?
1:4
3:1
1:3
4:1
Answer:
1:3
Step-by-step explanation:
3 if the 12 are tulips
9 of the 12 aren't tulips
3:9 = 1:3
Choose all the ways that show 2.56.
2 ones + 5 tenths + 6 hundredths
O2 ones + 56 tenths
2 ones + 50 tenths + 6 hundredths
25 tenths + 6 hundredths
The correct ways to represent 2.56 are options 1 and 3: 2 ones + 5 tenths + 6 hundredths and 2 ones + 50 tenths + 6 hundredths.The representation of the number 2.56 can be expressed in different ways depending on the place value of each digit.
Let's evaluate each option:
2 ones + 5 tenths + 6 hundredths: This representation correctly shows 2 ones, 5 tenths, and 6 hundredths, which sums up to 2.56.
02 ones + 56 tenths: This representation is not accurate since the leading zero in the ones place does not affect the value of the number. Therefore, this option is incorrect.
2 ones + 50 tenths + 6 hundredths: This representation is accurate as it includes 2 ones, 50 tenths, and 6 hundredths, which totals to 2.56.
25 tenths + 6 hundredths: This representation is incorrect as it only accounts for tenths and hundredths, not including the ones place. Thus, this option does not correctly represent the number 2.56.
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Let: R = It will rain this evening, B = The barometric pressure is dropping, T = The temperature is below 50 degrees F, S = It will snow this evening.
Choose the formula that represents the following probability: "The probability that it will not snow this evening conditional on the barometric pressure dropping."
The Probability of no snow that the barometric pressure is dropping.
The formula that represents the probability "The probability that it will not snow this evening conditional on the barometric pressure dropping" is P(¬S | B).
In this formula:
- P(¬S | B) represents the probability of "not snowing (¬S)" given that "the barometric pressure is dropping (B)."
- The vertical bar | indicates conditional probability.
This formula calculates the likelihood of it not snowing this evening when we know that the barometric pressure is dropping. It considers the condition of the barometric pressure dropping and calculates the probability of it not snowing under that condition.
It's important to note that the symbol ¬ represents negation or "not," and in this context, ¬S represents "not snowing." Therefore, P(¬S | B) quantifies the probability of it not snowing given that the barometric pressure is dropping Conditional probability allows us to adjust the likelihood of an event based on the occurrence of another event. In this case, we are interested in determining the probability of no snow given the information that the barometric pressure is dropping.
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What is the value of x? In a triangle JKL, PQ is parallel line to JL. The length of JP is 3 and length of PK is x - 6. The length of QL is 5 and length of KQ is x.
A. √ 3
B. √21
C. 9
D. 15
A submarine dives to a depth of 3775 m. It then climbs to a depth of 1395 m before descending one more time to a depth of 2890 m. How many meters in total has the submarine dived? What is the total distance (up and down) it has travelled? (Include the first descent in your calculations).
Answer:
5270 m
Step-by-step explanation:
It first went down 3775 m.
The it went down 1495 (2890 - 1395)
3775 + 1495 = 5270
Answer:
dived 5270 below sea level
total distance traveled is 8060
Step-by-step explanation:
-3775+1395-2890
3775+1395+2890
