The day of the month is nominal (option c).
What is nominal data?Nominal data is data that can be labelled or classified into mutually exclusive categories within a variable. A nominal variable is a categorical variable that is qualitative.
A ratio scale is quantitative. A ratio scale is a variable with a true zero. An example is weight. An interval variable is a variable where each value is measured along a scale. An example of an interval variable is credit score.
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To draw a graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of ___, a second point by going over 3 and up ___, and then draw a line through the points
For drawing the graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of __7_, a second point by going over 3 and up __8.25__, and then draw a line through the points.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
For this case, the equation given to us is:
\(y = \dfrac{3}{4}x + 7\)
Any equation of the form \(y = mx + c\) where m and c are constants and x and y are variables is the equation of a straight line.
For a straight line to be characterized, only two points are sufficient.
For x = 0, the y-coordinate would be such that it would satisfy the equation \(y = \dfrac{3}{4}x + 7\)
Putting x = 0, we get:
\(y = \dfrac{3}{4} \times 0 + 7 = 7\)
Thus, y-coordinate of the point on this line whose x-coordinate is 0 is 7. Thus, (0,7) is one of the point's coordinate on the considered line.
Putting x = 3, we get:
\(y = \dfrac{3}{4} \times 3 + 7 = 9.25\)
Thus, y-coordinate of the point on this line whose x-coordinate is 0 is 9.25 . Thus, (0,9.25) is another of the point's coordinate on the considered line.
Thus, for drawing the graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of __7_, a second point by going over 3 and up __8.25__, and then draw a line through the points.
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Find the least positive integer, written only by numbers 0, 1 and 2, which is divisible by 225.
9514 1404 393
Answer:
1,222,200
Step-by-step explanation:
A search using a computer program found ...
5432 × 225 = 1,222,200
__
1000 mod 225 = 100
4 × 225 = 900
This suggests that if we have some number of thousands whose digits total 9, that we will have the number of interest. Of course, we can add 200 to some number of thousands with a digit total of 7. The smallest such digit total will be had with the number 1222 using the specified digits {0, 1, 2}. This gives rise to the result above: 1222×1000 +200 = 1,222,200. It also explains why moving the 1 to the right will also give a multiple of 225.
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
You have 12 coins. Some quarters and dimes. You have a total of $2.40, how many of each coin do you have?
Answer:
8 quarters and 4 dimes
Step-by-step explanation:
4 quarters = 1 dollars
4 quarters = 1 dollars
4 dimes = 40 cents
2.40$
============================================
Work Shown:
d = number of dimes
q = number of quarters
1 dime = 10 cents
d dimes = 10d cents
1 quarter = 25 cents
q quarters = 25q cents
d+q = 12 since we have 12 coins total
q = -d+12 after solving for q
10d+25q = total value in cents
10d+25q = 240
10d+25(-d+12) = 240 ... plug in q = -d+12
10d-25d+300 = 240
-15d+300 = 240
-15d = 240-300
-15d = -60
d = -60/(-15)
d = 4
q = -d+12
q = -4+12
q = 8
Since d = 4 and q = 8, this means we have 4 dimes and 8 quarters
-----------------------------
Check:
4 dimes = 4*10 = 40 cents
8 quarters = 8*25 = 200 cents
(4 dimes) + (8 quarters) = (40 cents) + (200 cents) = 240 cents
240 cents = 240/100 = $2.40
We have 4+8 = 12 coins total
The answers are confirmed
7. Write an equation or an inequality to represent: "The sum of a number y and 17 is at most 36."
Answer:
y + 17 ≤ 36
Step-by-step explanation:
Given the functions flx) = 3x2, g(x) = x2 - 4x + 5, and h(x) = -2x2 + 4x + 1, rank them from leasrto greatest based on their axis of symmetry.
9514 1404 393
Answer:
f(x), h(x), g(x)
Step-by-step explanation:
For a quadratic in standard form, ...
ax² +bx +c
the axis of symmetry is ...
x = -b/(2a)
For the various functions, the axes of symmetry are ...
f(x): x = 0/(2·3) = 0
g(x): x = -(-4)/(2·1) = 2
h(x): x = (-4)/(2(-2)) = 1
From least to greatest axis of symmetry the functions are ...
f(x), h(x), g(x)
Please help I am so lost thank you all
h = hours till they're 58 miles apart
Check the picture below.
so they're travelling in opposite directions, however the combined distances is 58 miles at say "h" hours, by the time that happend Hopi has been walking "h" hours and Brittany has also being walking "h" hours too.
Since the combined distance is 58 miles than if Hopi has covered "m" miles then Brittany covered the slack of "58 - m".
\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hopi&m&15&h\\ Brittany&58-m&14&h \end{array}\hspace{5em} \begin{cases} m=(15)(h)\\\\ 58-m=(14)(h) \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{substituting on the 2nd equation}}{58-(\stackrel{m}{15h})=14h}\implies 58=29h\implies \cfrac{58}{29}=h\implies \boxed{2=h}\)
A company sells x units of an item each day at the rate of Rs. 50. The cost of manufacturing each unit of an item is Rs. 36.50 and the dristributor demands a charge of Rs. 3.50 per unit. If the daily overhead charge is Rs. 2600, find the profit function. Also find the profit if 360 units of an item are produced and sold daily?
Answer:
Y(x) = 10x - 2600
Profit= RS. 1000
Step-by-step explanation:
Amount sold per item=RS. 50.
Cost of manufacturing= RS. 36.5
Distributor charges= Rs 3.5
Daily over head charge= RS.2600
Profit function Y (x)
Y (x) =x(50) -36.5(x) -3.5(x)-2600
Y(x) = (50-36.5-3.5)x-2600
Y(x) = 10x - 2600
If x= 360
Profit Y = 10(360) - 2600
Profit Y = 3600-2600
Profit = 1000
Profit= RS. 1000
In the figure below, AMNO APQR. Determine the length of QR.
The safe load, L, of a wooden beam of width w, height h, and length l, supported at both ends, varies directly as the product of the width and the square of the height, and inversely as the length. A wooden beam 4 inches wide, 8 inches high, and 216 inches long can hold a load of 5050 pounds. What load would a beam 2 inches wide, 5 inches high, and 144 inches long, of the same material, support? Round your answer to the nearest integer if necessary.
We have the following, L, of the beam varies as the product of the width and the square of the height:
\(L\propto w\cdot h^2\)And varies inversely as the lenght of the wooden beam:
\(L\propto\frac{w\cdot h^2}{l}\)therefore:
\(L=k\cdot\frac{w\cdot h^2}{l}\)where k is the proportionality constant
w = 4, h=8, l = 216 and L = 5050
\(\begin{gathered} 5050=k\cdot\frac{4\cdot8^2}{216} \\ k=\frac{5050\cdot216}{256} \\ k=4260.93 \end{gathered}\)now, if w = 2, h = 5, l = 144:
\(\begin{gathered} L=4260.93\cdot\frac{2\cdot5^2}{144} \\ L=1479.5 \end{gathered}\)What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?
(Hint: it is the same number. Input only one number in the blank.)
will give (brainlist)
Answer:
1st box: 1
2nd box: 1
Step-by-step explanation:
1: 3 * 7 = 21, so only put the 1 and carry the 2.
2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.
I hope this helps :)
I need help solving this
Given
Radius : 6 cmTo find
Area of the semicirclewe know that
Area of a semicircle = πr²/2Inserting the value of radius
Area of the given semicircle = (3.14 x 6cm x 6cm)/2 Area of the given semicircle = 113.04cm²/2 Area of the given semicircle = 56.5 cm²Multiply 5/7 x 1/2
A: 25/77
B: 12/35
C: 1/6
D: 5/14
In ΔXYZ, x = 830 cm,
m
m∠Y=141° and
m
m∠Z=25°. Find the length of z, to the nearest 10th of a centimeter.
=======================================================
Explanation:
Use the two given angle measures (Y and Z) to find angle X.
X+Y+Z = 180
X+141+25 = 180
X+166 = 180
X = 180-166
X = 14
Angle X is 14 degrees.
-----------
Now use the law of sines to determine side length z.
Make sure your calculator is in degree mode.
z/sin(Z) = x/sin(X)
z/sin(25) = 830/sin(14)
z = sin(25)*830/sin(14)
z = 1449.9438
z = 1449.9 cm is the final answer.
The solution is : the length of z, to the nearest 10th of a centimeter is, 1449.9 cm.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Explanation:
Use the two given angle measures (Y and Z) to find angle X.
X+Y+Z = 180
X+141+25 = 180
X+166 = 180
X = 180-166
X = 14
Angle X is 14 degrees.
Now use the law of sines to determine side length z.
z/sin(Z) = x/sin(X)
z/sin(25) = 830/sin(14)
z = sin(25)*830/sin(14)
z = 1449.9438
z = 1449.9 cm is the final answer.
Hence, The solution is : the length of z, to the nearest 10th of a centimeter is, 1449.9 cm.
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the weight of an apple is 150g, rounded to the nearest 5g. What is the lower bound of the weight of the apple?
What is the upper bound of the weight of the apple?
Answer:
1 answer
Answer:lower bound = 147.5gupper bound = 152.5gStep-by-step explanation:if you were rounding a single digit number to the nearest 5, ...
Step-by-step explanation:
which of these is most likely to weigh 2 kilograms car roast chicken horse egg tea bag
The item most likely to weigh 2 kilograms is a roast chicken.
Which of them would weight 2 kilograms?
The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.
The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.
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for a sample size n = 24 and a population parameter of p = 0.4, a normal curve can be used to approximate the sampling distribution.
A. True
B. False
Answer:False
Step-by-step explanation:
Find the missing side. Round to
the nearest tenth.
Solve for x. Round to the nearest tenth, if necessary.
Using the sine ratio, the value of x in the right triangle shown is calculated to the nearest tenth as: 2.6 units.
How to Find the Value of x Using the Sine Ratio?The sine ratio is part of the trigonometry ratios that can be applied to solve a right triangle, and it is written as:
sin ∅ = length of the opposite side / length of the hypotenuse of the right triangle
We are given the following information from the image above:
Reference angle (∅) = 75 degrees
length of the opposite side = x
length of the hypotenuse = 9
Plug in the values:
sin 75 = x/9
9 * sin 75 = x
x = 8.7 [to the nearest tenth]
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Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done
Here is the final matching of multiplication expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173
81.4 x 32.1 ≈ 2,618
32.9 x 4.81 ≈ 158
46.7 x 31.7 ≈ 1,479
59.3 x 3.57 ≈ 212
Match each multiplication expression on the left with the best estimate of its product on the right:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9
81.4 x 32.1
32.9 x 4.81
46.7 x 31.7
59.3 x 3.57
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
Estimates for the remaining expressions:
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
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convert 6¼ % into decimal
Answer:
6.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.25 percent would be 0.0625
A line segment has endpoints P (1, -1) and Q (-9,-6). What are the coordinates for point R, also on the segment, that will place point R 3/5 of the distance from P to Q?
A line segment has the following endpoints
\(P(1,-1)\: and\: Q(-9,-6)\)We are asked to find the coordinates of point R, such that the point R will be 3/5 of the distance PQ.
Let us first find the distance from P to Q.
The distance between two points P and Q is given by
\(PQ=\sqrt[]{\mleft({x_2-x_1}\mright)^2+\mleft({y_2-y_1}\mright)^2}\)Let us substitute the given points into the above distance formula
\(\begin{gathered} PQ=\sqrt[]{({-9_{}-1_{}})^2+({-6_{}-(-1)_{}})^2} \\ PQ=\sqrt[]{({-9_{}-1_{}})^2+({-6_{}+1_{}})^2} \\ PQ=\sqrt[]{({-10})^2+({-5})^2} \\ PQ=\sqrt[]{100^{}+25^{}} \\ PQ=\sqrt[]{125} \\ PQ=11.18 \end{gathered}\)Now let us find the coordinates of point R such that R is equal to 3/5 of PQ.
So the ratio is m:n = 3:5
\(R_x=\frac{nx_1+mx_2}{n+m},R_y=\frac{ny_1+my_2}{n+m}\)Let us substitute the given values into the above formula
\(\begin{gathered} R_x=\frac{5\cdot1+3\cdot(-9)}{3+5},R_y=\frac{5\cdot(-1)+3\cdot(-6)}{3+5} \\ R_x=\frac{5-27}{8},R_y=\frac{-5-18}{8} \\ R_x=\frac{22}{8},R_y=\frac{-23}{8} \\ R_x=\frac{11}{4},R_y=\frac{-23}{8} \end{gathered}\)Therefore, the coordinates of the point R is
\(R(\frac{11}{4},-\frac{23}{8})\)Question 10
A car park has 880 parking spaces.
Some of the spaces are reserved.
The ratio of reserved spaces: not reserved spaces = 1:10.
Work out the number of spaces that are not reserved.
Step-by-step explanation:
work he in a department store
Two students, Ruth and William, want to find out who has the higher GPA when compared to each of their schools. Ruth hasa GPA of 3.7, and her school has a mean GPA of 3.0 and a standard deviation of 0.4. William has a GPA of 3.75, and hisschool has a mean of 3.2 and a standard deviation of 0.5. Who has the higher GPA when compared to each of their schools?
ANSWER
Ruth, since she has a higher z-score.
EXPLANATION
Given a mean μ and a standard deviation σ, the z-score of a measure x is:
\(z=\frac{x-\mu}{\sigma}\)For Ruth, her GPA is x = 3.7. Her school has a mean GPA of 3.0 and a standard deviation of 0.4. The z-score is:
\(z=\frac{3.7-3.0}{0.4}=1.75\)For William, his GPA is x = 3.75. His school has a mean GPA of 3.2 and a standard deviation of 0.5. His z-score is:
\(z=\frac{3.75-3.2}{0.5}=1.1\)Since Ruth has a higher z-score, her GPA is higher when compared to each of their schools.
100 points + brainliest!
Answer: D = √2
(please respond if im wrong)
Step-by-step explanation:
The fold is made along BE. A folds onto A′.
A′B = AB =√2 ⇒ A′C = 1
(by Pythagoras)
ΔA′BC
is therefore a right-angled isosceles triangle.
⇒∠BA′C=45∘ ⇒∠EA′D=45∘
⇒ ED = A′D = √2−1
What is the sign of -456 +456
Answer:
0
Step-by-step explanation:
-456 +456
( - , + ) = -
so answer is 0
Answer:
0
Step-by-step explanation:
bc i know
Find a function whose graph is a parabola with vertex (4,-5) and that passes through the point (2, 3).
Answer:
4 ,-5
Step-by-step explanation:
I hope it's helpful for you43,761 rounded to the nearest thousands
Answer:
44,000
Step-by-step explanation:
The number 43,761 rounded to its nearest thousands is 4400.
What is place value?The place value of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 = thousandths place value
We have,
43,761
3 is in the thousand place.
So,
We will round 3761 to its nearest thousand value.
There are two options:
3000 or 4000
If It is greater than 3499 it will round to 4000.
If it is less than 3500 it will round to 3000.
Now,
3761 > 3499.
So,
The number is rounded to 4000.
Thus,
43,761 is rounded to 4400.
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complete each statement to describe the terms
the variable h represents: the cost per hour or the number of hours
the constant 20 represents: the initial rent price or the number of hours
the variable term 12.5h represents: the hourly rental amount or the number of hours
constant 20 represents: initial priceReason: the problem says that Boat charges an initial price of 20
variable term 12.5h represents: the price per hourReason: it says that Boat word charges $12.50 dollars per hour which translates into '12.5 times 'h'
Hope that helps!
Plsss help!!! I can’t figure this out
The volume of the solid figure is 1795.5 metres squared. Therefore, the answer is d.
How to find the volume of a figure?The volume of the figure is the area of the base multiplied by the height of the figure.
Therefore, let's find the volume of the figure as follows:
volume of the figure = area of the base × height of the figure
area of the base =1 / 2 (a + b)h
where
a and b are the basesh = heightTherefore,
area of the base =1 / 2 (a + b)h
area of the base = 1 / 2 (11 + 16)9.5
area of the base = 128.25
Therefore,
volume of the figure = area × height
volume of the figure = 128.25 × 14
volume of the figure = 1795.5 metres squared
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