Required:
We need to find the statement which is NOT a misuse of statistics.
Explanation:
Recall that misuse of statistics occurs when a statistical argument asserts a falsehood.
Utilizing valid statistical methods and correct sampling techniques is not a misuse of statistics.
Final answer:
A. Utilizing valid statistical methods and correct sampling techniques
Which of these is a perfect square? Responses 29/ 78/ 144/ -6/
Here, 144=12×12=12². Therefore, 144 is a perfect square.
The given numbers are 29, 78, 144 and -6.
What is a perfect square?A perfect square is a positive integer that is obtained by multiplying an integer by itself. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves.
By perfect square definition
29=29×1
78=2×2×17
144=2×2×2×2×3×3=12×12
-6=-2×3
So, from the above factors it is clear that, 144 is a perfect square.
Here, 144=12×12=12². Therefore, 144 is a perfect square.
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what is the range of :
-6
-2.
11
8
10
12
Answer:
18
Step-by-step explanation:
The range is the biggest number minus the smallest number.
The biggest number is 12.
The smallest number is -6 .
Range = 12-(-6) = 18
12 nights camp accommodation costs #6720. What will be the cost of a)7 nights number b)4 nights
EXPLANATION :
The cost of a 12 nights camp accommodation is 6720.
We need to divide the cost by 12 to get the cost per day.
[tex]6720\div12=560[/tex]Now, we are asked to find the cost of 7 nights and 4 nights.
We just need to multiply the daily rate by the number of nights.
a. 7 nights :
7 x 560 = 3920
b. 4 nights :
4 x 560 = 2240
ANSWER :
a. 3920
b. 2240
Is this function continuous or discrete? How far can you get on 20 gallons? What is the domain and range of this function? How many gallons to get 500 miles? Where do the labels on the graph go?
EXPLANATION
The equation of the function can be represented as shown as follows:
[tex]G(m)=12m[/tex]-This function is discrete.
-If we have 20 gallons, we can obtain the number of miles by plugging in the value into the equation, as shown as follows:
[tex]20=12m[/tex]Dividing both sides by 12:
[tex]\frac{20}{12}=m[/tex]Simplifying:
[tex]\frac{5}{3}=m[/tex]We can make 1.67 miles with 20 gallons.
-The domain of the function are all the Real Numbers and the Range are also the Real numbers.
-Finally, drawing the graph of the function:
The points of the table are the following:
Gallons Miles
2 24
4 48
6 72
8 96
-We can get the number of gallons needed to, make 500 miles by plugging the value 500 into the equation, as shown as follows:
[tex]500=12m[/tex]Isolating m:
[tex]\frac{500}{12}=m[/tex]Simplifying:
[tex]41.7=m[/tex]The number of gallons to make 500 miles is equal to 41.7 gallons
Finally, labeling the graph:
Which set of ordered pairs (x, y) could represent a linear function?
A = {(-3,5), (0, 2), (3,-1), (7,-4)}
B = {(0,3), (1,5), (2,7), (4,9)}
C= {(-3,8), (-1,7), (1,6), (3,5)}
D = {(-5, -1), (-2,2), (1,4), (4,7)}
OA
C
B
D
Submit Answer
The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
How is a linear function written?The equation y = mx + b, where y is the y-coordinate, denotes a linear function. m represents the line's slope, or how steep it is. The coordinate for x is x.
The equation y = mx + b, where y is the y-coordinate, denotes a linear function.
m represents the line's slope, or how steep it is.The coordinate for x is x.the point where the line intersects the y-axis, or b.To learn more about Linear function refer to:
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Determine which angles are right triangles. Select all that apply
Answer:
[tex]A,B[/tex]Explanation:
Here, we want to get the right triangles
Mathematically, for us to have a right triangle, the square of the hypotenuse (which is the longest side) equals the sum of the squares of the two other sides. This is Pythagoras' theorem
We shall be testing this principle out on the given options
We proceed as follows:
[tex]\begin{gathered} a)\text{ 24}^2\text{ + 143}^2\text{ = 145}^2 \\ b)\text{ 28}^2\text{ + 195}^2\text{ = 197}^2 \\ c)\text{ 135}^2\text{ + 140}^2\text{ }\ne\text{ 175}^2 \\ d)\text{ 56}^2+\text{ 16}^2\ne\text{ 65}^2 \end{gathered}[/tex]What this means is that only options A and B is correct
a group of friends is taking part in a two-day walking event for charity. yesterday, they walked 28 miles in 9 hours and 44 minutes. today, they finished the last 10 miles in 2 hours and 55 minutes. what was the group's average speed for the two-day event?
Average speed of the group for the two day event is 0.105 miles\min.
The average is defined as the mean value that is equal to the ratio of the total sum of the number of a given set of values to the total number of values present in that set.
Time taken on day 1 in minutes = 9x60 + 44
= 540 + 44 = 584 minutes.
Time taken on day 2 in minutes = 2x60 + 55
= 120 + 55 = 157 minutes
Now we will be applying speed-distance formula we get,
Speed= Distance/time
On day 1,
[tex]Speed_{1}[/tex]= 28/584 = 0.0479 miles/min
On day 2,
[tex]Speed_{2}[/tex]= 10/175 = 0.0571 miles/min
Thus,the average speed is:
Average = [tex]Speed_{1} + Speed_{2}[/tex] = 0.0479 + 0.0571= 0.105 miles/min
Hence,the average speed is 0.105 miles/min
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Evaluate the function for the following values:
f(-2)=
f(0) =
f(3) =
I'm not good with graphs so I really need help solving and understanding this
4x + 3y = -24 (option D)
Explanation:To determine the orrect option, we would find the equation of the line.
Equation of line: y = mx + c
m = slope, c = y-intercept
Using the slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]We would use any two points on the graph.
Using points: (-6, 0) and (0, -8)
[tex]\begin{gathered} x_1=-6,y_1=0,x_2=0,y_2\text{ = -}8 \\ m\text{ = }\frac{-8-0}{0-(-6)} \\ m\text{ =}\frac{-8}{0+6}=\frac{-8}{6}=-\frac{4}{3} \end{gathered}[/tex]The y intercept is the point where the line crosses the y axis and the value of x is zero. It crosses the line at y = -8
The equation of line becomes:
y = -4/3 x + (-8)
y = -4/3x - 8
Multiply both sides by 3:
3(y) = 3(-4/3 x) - 3(8)
3y = -4x - 24
3y + 4x = -24
4x + 3y = -24 (option D)
Eric ordered a set of red and yellow pins. He received 70 pins in all. 21 of the pins were red. What percentage of the pins were red?
The percentage of red pins in total pins ordered by Eric is 30%.
According to the question,
We have the following information:
Eric received 70 pins in all.
21 of the pins are red.
Now, we will find the percentage of red pins:
Percentage of red pins = (Number of red pins*100/total number of pins)
Percentage of red pins = (21*100)/70
Percentage of red pins = 2100/70
Percentage of red pins = 30%
(In the same way, we can also find the number and percentage of yellow pins from the total pins.)
Hence, the percentage of red pins in total pins ordered by Eric is 30%.
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Paula measured the auditorium and made a scale drawing. The stage, which is 56 feet long in real life, is 84 inches long in the drawing. What scale did Paula use?
3 inches= ? feet
There are 2 feet in real life be 3 inches long in the scale drawing.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The stage, which is 56 feet long in real life, is 84 inches long in the scale drawing.
Let the x feet in real life be 3 inches long in the drawing.
According to the given question, we can write a ratio as
56 feet : 84 inches = x feet : 3 inches
⇒ 56 / 84 = x / 3
Apply the cross-multiplication operation,
⇒ 56 × 3 = x × 84
⇒ 168 = 84x
⇒ 84x = 168
⇒ x = 168 / 84
⇒ x = 2
Therefore, there are 2 feet in real life be 3 inches long in the scale drawing.
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Sylas loves cookies! If he bought 5 cookies for $6.65, how many cookies
could he buy with $20?
Answer:
15
Step-by-step explanation:
6.65:5=1.33
1.33х15=19.95$
we need to around the 19.95 and we get a 20$
have a nice day
-3+n ≥ -4n-3 or 3n-4≥4n + 1
Answer:
-3+n ≥ -4n-3
Step-by-step explanation:
its good to use a number for n
if n = 5
-3+n ≥ -4n-3 or 3n-4≥4n + 1
for
-3+n ≥ -4n-3
-3+5 ≥ -4(5)-3
-2 ≥ -20-3
-2 ≥ -23
true
for
3n-4≥4n + 1
3(5)-4≥4(5) + 1
15-4≥20 + 1
11 ≥20 + 1
11 ≥21
not true
A circle has a radius of 5 units, 3 students tried to calculate the circumference of the circle, put their answers in order from most accurate to least accurate31.4π units 10π units 31.4 units
A circle has a radius of 5 units, 3 students tried to calculate the circumference of the circle, put their answers in order from most accurate to least accurate
31.4π units
10π units
31.4 units
we know that
the circumference of a circle is equal to
[tex]C=2\pi r[/tex]we have
pi=3.14
r=5 units
substitute
[tex]\begin{gathered} C=2\pi(5) \\ C=10\pi\text{ units} \end{gathered}[/tex]the exact value is 10pi units
the approximate value (assume pi=3.14)
C=31.4 units
so
order from most accurate to least accurate is
10π units
31.4 units
31.4π units
order from least accurate to most accurate is31.4π units31.4 units10π unitsTell whether x and y show direct variation. Explain your reasoning.
y - x = 0. Find the value of k
In the given equation x and y show a direct variation of the form:
y = x
Where the value of k is 1.
Is there a direct variation?
A direct variation between two variables x and y is written as:
y = k*x
Where k is called the constant of proportionality.
Here we have the equation:
y - x = 0
moving x to the right side we get:
y = x
This is a direct variation with k = 1.
y = 1*x
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Lisa is putting money into a savings account, she starts with $350 in the savings account, and each week she adds $60
The total amount of money in the savings account after 11 weeks is $1010.
What is the total amount in the savings account?The from of the equation that can be used to determine the total amount of money in the savings account is a linear equation. A linear equation is an equation that has one variable that is raised to the power of one. When a linear equation is drawn on a coordinate graph, it is usually a straight line.
The form of the linear equation is:
Total amount = amount she starts with + (number of weeks x amount of money she adds each week)
S = $350 + ($60 x W)
S = $350 + $60W
Amount she would have in 11 weeks : $350 + ( 11 x $60)
$350 + 660 = $1010
Here is the complete question:
Lisa is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $60. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Jenny has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.
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Use the conditional statement "If it is January, then there is snow." for questic
17. Identify the hypothesis:
18. Identify the conclusion:
Hypothesis: It is January and Conclusion: There is snow
What is hypothesis and conclusion?The initial clause, or "if," of a conditional statement is the hypothesis. The second, or "then," component of a conditional statement is the conclusion. The theory led to the conclusion.
An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion. As indicated, this is pq. Read this: if p, then q. If the hypothesis is correct but the conclusion is untrue, a conditional statement is false.
Conditionals are in the form if P, then Q.
P is the hypothesis.
Q is the conclusion.
If It is January, then there is snow.
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The vertical distance is
. The horizontal distance is
. So the slope can be represented by the ratio
. The ordered pair for the red point on the line is
. If we substitute the numbers from the ordered pair in for x and y in the ratio, it will equal
please help ill give brainly
.
Answer:
. The horizontal distance
Step-by-step explanation:
The vertical distance is
. The horizontal distance is
. So the slope can be represented by the ratio
. The ordered pair for the red point on the line is
. If we substitute the numbers from the ordered pair in for x and y in the ratio, it will equal
please help ill give brainly
.
Good morning I could really use some help with this problem please!!
Hello!
First, let's write the coordinates of each vertex of this parallelogram:
• A (-4, 2)
,• B (2, 2)
,• C (5, -2)
,• D (-1, -2)
As line AB is parallel to the x-axis, we can find its measurement without formulas. We just need to count the number of squares from one point to the other.
So,
AB = 6 units.We will follow the same reasoning to calculate CD (because it's also parallel to the x-axis).
CD = 6 units.Now we have to use the formula of the distance between two points to calculate the sides BC and DA. The formula is:
[tex]d_{A,B}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]As we know the formula, let's replace it with the coordinates:
BC: 5 units[tex]\begin{gathered} d_{B,C}=\sqrt{\left(x_C-x_B\right)^2+\left(y_C-y_B\right)^2} \\ d_{B,C}=\sqrt{(5-2)^2+(-2-2)^2} \\ d_{B,C}=\sqrt{3^2+(-4)^2} \\ d_{B,C}=\sqrt{9+16} \\ d_{B,C}=\sqrt{25} \\ d_{B,C}=5\text{ units} \end{gathered}[/tex]DA: 5 unitsWe can solve it using the same formula as I used to solve BC, but now I'll show you how to solve it using Pythagoras Theorem (I think it will be easier). Look:
Solving by Pythagoras, we'll obtain:
[tex]\begin{gathered} x^2=4^2+3^2 \\ x^2=16+9 \\ x^2=25 \\ x=\sqrt{25} \\ x=5\text{ units} \end{gathered}[/tex]Remembering: the perimeter is the sum of all the sides of a figure. So, we will have:
[tex]\begin{gathered} P=AB+BC+CD+DA \\ P=6+5+6+5 \\ P=22\text{ units} \end{gathered}[/tex]WATER DEPTH An echo sounder is a device used to determine the depth of water by measuring the time it takes a sound produced just below the water surface to return, or echo, from the bottom of the body of water. The accuracy of an echo sounder is the positive difference between the depth of water reading on the echo sounder and the actual depth of water w. Write two absolute value expressions equivalent to the accuracy of an echo sounder.
The absolute value expressions of the echo sounder are |r - w| and |w - r|
How to determine the absolute value expressions of the echo sounder?The statement in the question is represented as
The accuracy of an echo sounder is the positive difference between ...
To solve further, we use the following representations
Depth of water reading = r
Actual depth = w
So, the statement becomes
The accuracy of an echo sounder is the positive difference between r and w
The difference can be represented as
Difference = r - w or Difference = w - r
Represented as absolute value expressions
Difference = |r - w| or Difference = |w - r|
Hence, the expressions are |r - w| and |w - r|
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Use the appropriate compound interest formula to compute the balance in the account after the stated period of time
$19,000 is invested for 2 years with an APR of 4% and daily compounding.
Compound interest exists as the interest you gain on interest. The balance in the account after 2 years is $42266.
What is meant by compound interest?Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.
'Compound interest' simply indicates earning interest on your savings, and also, eventually, on the interest that those savings earn.
The appropriate formula is
A = P(1 +r/n[tex])^{(nt)[/tex]
where P = 19,000, r = 0.4, n = 365, t = 2.
substitute the values in the above equation, we get
A = 19,000(1 +0.4/365[tex])^{(365 \times2)[/tex]
simplifying the above equation, we get
A = 42266.7592
The balance in the account after 2 years is $42266.
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In a bar graph the length of the bar need not be in proportion to the information being shown.
True
False
In a bar graph the length of the bar need not be in proportion to the information being False.
Bar graph. A bar chart is frequently used to compare values of different things at a specific time. It presents information visually using rectangles (bars). It generally serves as a visual aid for proportions, patterns, comparisons, and contrasts.
How do you describe a bar graph?To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (several bars that compare values in a category), and stacked bars can all be used to construct bar graphs (bars containing multiple types of information).
A relationship is proportionate if its graph is a line or ray that passes through the origin. It is not proportionate if the line or ray does not go through the origin. Additionally, something is not proportionate if it is not linear.
comparisons of several variables that are simple. clarity in the presentation of data trends. Simple value determination.
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Claudia can make 4 balloon animals in 12 minutes.How many balloon animals can she make in 21 minutes
Answer: Claudia can make 7 balloons in 21 minutes.
Step-by-step explanation:
21/12=1.75
1.75 x 4 = 7
answer pls
1. A surfer paddles out past breaking waves, rides a
wave, paddles back out past the breaking waves,
rides another wave back to the beach. Draw a sketch
of a graph (with labels) that shows the surfer’s
possible distance from the beach over time.
2. For the table, identify the independent and
dependent variables, Represent the relationship
using words, an equation and a graph.
# of cases of
bottled
water, c
# of bottles
of water,
b
1 24
2 48
5 120
10 240
20 480
for this one i only need the graph cannot find it out
3. Sketch a graph of the function shown by the table. Is
its linear or nonlinear?
x y
1 0
2 1
3 8
4 20
5. Write a function rule to represent the situation:
The volume, V, remaining in a 243 ft3 pile of gravel
decreases by .2 ft3 with each shovelful, s, of gravel
spread in a walkway
Tell whether the relation is a function. Explain your
reasoning.
{(-1, 7), (9, 4), (3, -2), (5, 3) , (9, 1)
7. Tell whether the relation is a function. Explain your
reasoning. find graph below
Describe the pattern in the sequence. Find the next
two terms of the difference.
-2, -5, -8, -11,
the graph for 7
Answer:
V = 243 - 0.2s
Step-by-step explanation:
See attached document for questions 1 - 3.
5. Write a function rule to represent the situation:
The volume, V, remaining in a 243 ft3 pile of gravel
decreases by .2 ft3 with each shovelful, s, of gravel
spread in a walkway.
Volume Remaining (V) = Initial - Used
Volume Remaining (V) = 243 ft^3 - (0.2 ft^3/shovel)(s shovels)
V = 243 - 0.2s
6. Tell whether the relation is a function. Explain your
reasoning.
{(-1, 7), (9, 4), (3, -2), (5, 3) , (9, 1)
This is not a function. When x = 8, it results in more than one output.
7. Pattern:
-2
-5
-8
-11
Each step decreases by 3
-14
-17
8.
a ball dropped from rest and falls for 8 seconds
whats the final velocity
and whats te average velocity
how far did it fall
Vince and Wendy share $2000 in the ratio Vince : Wendy = 19 : 21. Calculate the amount of money that Vince receives
workout:
19+21=40
2000÷40=50
Vince=50×19=950
Wendy=50×21=1050
-u can check by adding 950+1050=2000 (which means the ratio is correct)
Answer:
(vince:wendy)= 950:1050
Answer:
V:W
19:21
19 + 21 = 40
19 over 40 × 200
Vince received $950
Can a triangle have sides with the given lengths?a2 in, 4 in, 6 inYesNo
In general, if the sides of a triangle are a, b, and c, they must satisfy the inequalities below
[tex]\begin{gathered} a,b,c\rightarrow\text{ sides of a triangle''} \\ \Rightarrow a+b>c \\ b+c>a \\ c+a>b \end{gathered}[/tex]Therefore, in our case,
[tex]\begin{gathered} 2+4>6\Rightarrow6>6\rightarrow False \\ 4+6>2\Rightarrow10>2\rightarrow True \\ 6+2>4\Rightarrow8>4\rightarrow True \end{gathered}[/tex]The first inequality is false; thus, the triangle cannot exists. The answer is No.Which of the following describes the graph of y 3 -3 in a coordinate plane?
ANSWER
The boundary line is a solid horizontal line that passes through (0, -3). The half-plane that does not contan the origin is shaded.
(the answer is the second option)
EXPLANATION
The graph is
Find 3 ratios that are equivalent to 5:13
Composite Functions 60 POINTS Help please asap
Answer:
(g ∘ f)(6) = 216
Step-by-step explanation:
Pre-SolvingWe are given the functions f(x) = 2x - 6 and g(x)=x³
We want to find the value of (g∘f)(6), where we first find the value of f(6), and then substitute that value into g(x).
SolvingSubstitute 6 as x in f(x)=2x-6.
f(6)=2(6)-6
Multiply
f(6)=12-6
Subtract
f(6)=6
Now substitute 6, which is the value of f(6) as x in g(x) = x³.
g(6)=6³ = 6 * 6 * 6 = 36 * 6 = 216
The value of g(6) is the same as the value of (g ∘ f)(6), as the 6 that we plugged into g(x) is the value of f(6).
Therefore, (g ∘ f)(6) = 216.
