Answer:The data set that is represented in the histogram is {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} Definition of a histogram An histogram is a graph that organises numerical data. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.Explaining the graphLooking at the histogram, the age group of 5 - 10 have 3 children in the carpool. the age group of 11 - 13 have 7 children in the carpool. the age group of 14 - 18 have 4 children in the carpool. This means that there are 14 children in the carpool. The correct option should have 14 ages that range between 5 and 18. Here are the options of this question: A. {3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4} B. {5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18} C. {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} D. {3, 5, 10, 11, 13, 7, 18, 14, 4}
Step-by-step explanation:
A bottle contains 1 2/5 litres of orange squash. To make one drink, 1/200 of a litre of squah is needed. How many drinks can be made from the bottle of squash?
Answer:
280 drinks
Step-by-step explanation:
Capacity of bottle [tex]=1\frac{2}{5}=\frac{7}{5}\: l[/tex]Squash needed to make one drink [tex]=\frac{1}{200}\:l[/tex]Total number of drinks [tex]=\frac{7}{5}\div\frac{1}{200}[/tex][tex]=\frac{7}{5}*200[/tex][tex]=7*40[/tex][tex]=280[/tex]Answer:
280 drinks. We need to divide 1 2/5 by 1/200 in order to get this answer.
3. Given: AABC, ADEF, and FEL CE
A
6
What is a correct sequence of similarity transformations that shows AABC~ ADEF?
A. a rotation of 180 degrees about point E followed by a horizontal translation
B. a counterclockwise rotation of 90 degrees about point E followed by a horizontal translation
C. a rotation of 180 degrees about point E followed by a dilation with a scale factor of 2 centered at point E
D. a counterclockwise rotation of 90 degrees about point E followed by a dilation with a scale factor of 2 centered
at point E
A correct sequence of similarity transformations that shows AABC~ ADEF is that D. a counterclockwise rotation of 90 degrees about point E followed by dilation with a scale factor of 2 centered at point E.
What is similarity transformation?A similarity transformation refers to a geometric similarity, or to a matrix transformation that results in a similarity.
In this case, the correct sequence of similarity transformations that shows AABC~ ADEF is that a counterclockwise rotation of 90 degrees about point E followed by dilation with a scale factor of 2 centered at point E.
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If investments double every 9 years and you start with a $600 investment, how much money would you have after 27 years? First, complete the equation: Future Amount = 600 (1 + [?]) ↑ ↑ initial amount growth rate Hint: Doubling means a 100% growth rate. time periods Enter
Answer:
600(1+1)^3 with future amount being 4800
Step-by-step explanation:
The amount of the money after 27 years will be $4800.
What is the amount?The quantity of money anyone has is termed as the amount. The solution to the question is given as follows:-
Given that investments double every 9 years and you start with a $600 investment. how much money would you have after 27 years?
We know that the amount is getting double in every 9 years so the number of times the amount will get doubled will be = 27 / 9 = 3
Future amount = 600(1+1)³
Future amount = 600 ( 2 )³
Future amount = 600 ( 8 ) = $4800
Therefore the amount of the money after 27 years will be $4800.
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3.991 nearest one hundred answer
[tex]\huge\purple{hi!}[/tex]
3.991 nearest one hundred is 3.99
The answer wood be 3.99
Since 1 is closer to 0 you round down and it is 3.99
In a class of 75 students, 50 like visiting and 50 like Picnic. If each student like at least one activity, using Venn diagram, find the number of students who like both.
please help me with this question.
If each student like at least one activity, the number of student that like both is 25
How to solve Venn diagram?The class have 75 students.
50 like visiting and 50 like picnic.
Therefore, if each student like at least one activity, the number of student that like both can be calculated as follows;
let
x = student that like both
75 = 50 + 50 - x
Therefore,
75 = 100 - x
75 - 100 = -x
-25 = -x
x = 25
Therefore, the number of students who like both are 25.
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If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
Answers: sin(2∅) = 120/169, cos(2∅) = 119/169, tan(2∅) = 120/119
What are trigonometric functions?Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.
Analysis:
If cos∅ = adjacent/hypotenuse = 12/13,
Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5
sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12
sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169
cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169
tan(2∅) = sin(2∅) / cos(2∅) = 120/169 ÷ 119/169 = 120/119
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A van can ferry a maximum of 12 people.By setting up an inequality , find the minimum number of vans that are needed to ferry 80 people.
Answer:
Given a bus can ferry a maximum of 12 people .by setting up an inquality find minimum number of bus that are needed to ferry 80 people
Given a bus can carry a maximum of 12 people. We need to find minimum number of buses to carry 80 people.
Now 12 people can go in 1 bus.
Therefore 1 person can go in 1/12 bus
Now 1 person can go in 1/12 bus
Therefore 80 people can travel in 1/12 x 80
= 6.6
= 7
Therefore minimum buses needed will be 7
Now we can write inequality as 12 x x > = 80
Or x ≥ 80 / 12
or x > = 6.6
Step-by-step explanation: Hopes it help
Please mark my answer as a brainliest!
1st Spin
4
5
2nd Spin
What is the probability of
spinning a green, spinning
a purple, and then flipping
a coin that lands on tails?
1
20
2|5
The probability of spinning a green, spinning a purple, and then flipping a coin that lands on tails will be 0.02
How to calculate the probability?From the information given, the probability of spinning a green, spinning a purple, and then flipping a coin that lands on tails will be calculated thus:
= 1/5 × 1/5 × 1/2
= 0.2 × 0.2 × 0.5
= 0.02.
Therefore, the probability is 0.02.
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Evaluate function at the given value using the remainder theorem.
f(a)=a^4-2a^3-10a^2-7a at a=-2
Answer:
6
Step-by-step explanation:
[tex]f(a)=a^4-2a^3 -10a^2 -7a \\\\f(-2) = (-2)^4-2(-2)^3 -10(-2)^2 -7(-2)\\\\~~~~~~~~~=16-2(-8)-10(4)+14\\\\~~~~~~~~~=30+16-40\\\\~~~~~~~~~=46-40\\\\~~~~~~~~~=6[/tex]
what is the simple interest of $16000 interested for 5 years at 4% p.a?
Answer:
3200
Step-by-step explanation:
Simple interest = PRT/100
= (16000 × 5 × 4%\)/100
= 320000/100
= 3200
If the length of a rectangle is 6 more than twice the width and the total perimeter is 84cm, what is the rectangle's length?
Step-by-step explanation:
length = 2×width + 6
84 = 2×length + 2×width
now using the first in the second equation :
84 = 2×(2×width + 6) + 2×width = 4×width + 12 + 2×width
84 = 6×width + 12
72 = 6×width
width = 12 cm
length = 2×width + 6 = 2×12 + 6 = 24 + 6 = 30 cm
2. A used PlayStation 4 is on sale for 10% off the regular price of $160.00. If the sales tax rate is 9%, how much would I pay for the DVD player?
Answer:
$156.96
Step-by-step explanation:
10% off of $160.00 would be $16.00 so minus that by $160.00. Which then equals $144.00. Sales tax should be reduced to the sale price. So that would make it 144 times 0.09 for the 9% which equals $12.96 then add the $144.00 which then makes it $156.96. Hope it helps and I'm not wrong about sales tax:)
A group of friends are playing a trivia game. players spin a spinner 2 times to find the 2 categories of trivia questions they will be asked. the spinner has 5 sections. the "music" and "sports" sections are each 1-half the size of the 3 larger sections.
to the nearest percentage, what is the probability that a player will be asked a math question ,begin emphasis,and then,end emphasis, a music question? enter the answer in the box.
The probability that a player will be asked a math question and then a music question is 0.03125
How to determine the probability?The size of the sections are given as:
Music = 0.5
Sport = 0.5
Others = 1
So, the total size is:
Total = 0.5 + 0.5 + 1 + 1 + 1
Evaluate
Total = 4
The probability of asking a math question is:
P(Math) = 1/4 = 0.25
The probability of asking a music question is:
P(Music) = 0.5/4 = 0.125
The required probability is:
P(Math and Music) = P(Math) * P(Music)
This gives
P(Math and Music) = 0.25 * 0.125
Evaluate
P(Math and Music) = 0.03125
Hence, the probability that a player will be asked a math question and then a music question is 0.03125
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Write the following as algebraic expressions. r decreased by 3
Answer:
r - 3
Step-by-step explanation:
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to write the verbal phrase "r decreased by 3" as an algebraic expression.
[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]
Think about it. "decreased by". If we decrease a number by another number, what happens to the first number?Here we decrease the variable "r" by 3.
Remember, variables always represent some number.
Let's think about it this way...
///\\\////\\\\////\\\///\\\///\\\///\\\///\\\///\\///\\///\\///\\///\//\\///\\\///\\\///\\\///\\///\\\///\
So we have a number r, and we decrease it by 3.
Now its value is less than the original value.
We subtracted 3 from the original value of r, and now its value is less than the original one.
Thus, "decreased by" is the same as "subtracted" in mathematics.
r decreased by 3 ⇒ [tex]\star\large\pmb{r-3}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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How many rational numbers lie between any two fractions?
Answer:
Infinite number of rational numbers exist between any two distinct rational numbers. We know that a rational number is a number which can be written in the form of qp where p and q are integers and q =0.
a simple question
1. Why x/∞=0 for x real numbers. can you explain it?
2.why x/0 for x real numbers is infinity (∞)?
STOP COPY PASTE THIS IS NOT A SERIOUS QUESTION BUT BECAUSE I AM CURIOUS!
DON'T ANSWER JUST FOR A POINTS BUT TO HELP PEOPLE!
Neither of these statements are true.
x/∞ = 0 is a nonsensical statement. It's more accurate to say
[tex]\displaystyle \lim_{y\to\infty} \frac xy = 0[/tex]
for any real number x. The important bit is that y is an arbitrarily large number as it approaches ∞. To convince yourself that this expression approaches 0 as y gets larger and larger, try fixing x and pick any increasing sequence of numbers for y.
For example, let x = 1 and take y from the sequence of increasing powers of 10, {10, 10², 10³, …}, which grows without bound. Then
1/10 = 0.1
1/10² = 0.01
1/10³ = 0.001
and so on. Naturally, the larger the power of 10 and thus the larger y gets, the closer x/y gets to 0.
Similarly, x/0 is nonsense, but the "limit-ized" version of the claim is also incorrect. For any fixed real number x, the limit
[tex]\displaystyle \lim_{y\to0} \frac xy[/tex]
does not exist. Suppose x > 0. If y approaches 0 from above, then y > 0 and x/y > 0 and
[tex]\displaystyle \lim_{y\to0^+} \frac xy = +\infty[/tex]
which you can convince yourself is true by reversing the example from before. Let x = 1 and take y from the sequence of decreasing powers of 10, {1/10, 1/10², 1/10³, …}, which converges to 0. Then
1/(1/10) = 10
1/(1/10²) = 100
1/(1/10³) = 1000
and so on. The smaller y gets (while still being positive), the larger x/y becomes.
But now suppose y < 0 and that y approaches 0 from below. Then x/y < 0, and
[tex]\displaystyle \lim_{y\to0^-} \frac xy = -\infty[/tex]
The limits from either side do not match, so the limit as y approaches 0 does not exist.
You can use the same reasoning for when x < 0.
The case of x = 0 is special, however. Since y is approaching 0, it's never actually the case that y = 0. 1/y is then some non-zero real number, and multiplying it by x = 0 makes x/y = 0. Then
[tex]\displaystyle \lim_{y\to0} \frac 0y = 0[/tex]
So in general,
[tex]\displaystyle \lim_{y\to0} \frac xy = \begin{cases}0 & \text{if }x = 0 \\ \text{does not exist} & \text{otherwise}\end{cases}[/tex]
Which of the following tables represents a function?
Reason:
Choices A, C and D have repeated x values. It allows us to rule them out.
Table A has x = 6 repeating. Table C has x = 3 and x = -3 repeated. Table D has x = 4 and x = 5 show up twice each.
Whenever we have repeated x values, it indicates we do not have a function. A function is only possible when each x value goes to exactly one y value only.
Table A has the input x = 6 lead to y = 2 and y = -2 at the same time. Table C and table D are a similar story. So this is another way to rule out choices A, C and D.
Luckily table B has no repeated x values. Each x input leads to exactly one and only one y output. Therefore, table B is a function.
Side Note: the y values can repeat, but the function won't be one-to-one.
Is y=2x-3 a funtion?
Answer:
yes
Step-by-step explanation:
Yes.
The graph of y = 2x - 2 is a straight line sloping up to the right.
It passes the vertical line test, so it is a function.
Name something that you cannot find when looking at a box and whisker plot
Answer:
how many are of each number
Step-by-step explanation:
because it just shows the range, and the average, and the quarters, you can't really tell how many of the "item" of associated with each number
In her free time, isabelle likes to read. she kept track of the number of pages in each book she read last summer. this box plot shows the results. what fraction of the books has 200 or fewer pages?
200 is the median (50%) of the data represented in the box plot. The fraction of the books has 200 or fewer pages is: 1/2.
What is the Median of a Data in a Box Plot?In a box plot, the median is indicated as the value marked by the vertical line that divides the rectangular box of the box plot.
The median is the middle of the data and represents the 50th percentile. That is 1/2 the data.
In the box plot given, 200 pages is the median. Therefore, the fraction of the books that have 200 or fewer pages is: 1/2.
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Which measurements could create more than one triangle?
A. Angles measuring 85°, 45°, and 60°
B. Angles measuring 95°, 35°, and 50⁰
C. Sides measuring 8 cm and 15 cm and an included angle measuring 60°
D. Sides measuring 5 inches, 7 inches, and 13 inches
Answer:
A.
Step-by-step explanation:
The sum of angles of a triangle is 180. if you add 85+45+60 you get 190. That is more than 180.
Selma's house is 1,450 cm long. How many meters
long is Selma's house?
Answer:
14.5 Meters
Step-by-step explanation:
1 centimeter= 0.01 Meters
1450 cm x 0.01 =14.5
Pretest: Unit 8
Question 12 of 13
Which option below provides the best description of the relationship between
a quadratic parent function and a square root parent function?
A. The square root function is the quadratic function reflected across
the y-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
C. The square root function is the quadratic function reflected across
the x-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
graph y=x^2 and y=√x and y=x
graph is attached
gathmath
Evaluate the expression.
1/4 × 2/5 ÷ 1/3
Write your answer as a fraction or as a whole or mixed number.
it would help if you answered it as a fraction pls
Answer:
The answer is [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
The equation of the line with slope = 3, going through point (2, 4) is:
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-3}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-3x+6\implies y=-3x+10[/tex]
Quadrilateral abcd has vertices a(1,0) b(5,0) c (7,2) d(3,2). use slope to prove that abcd is a parallelogram.
[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]
[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]
As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.
Which expression is equal to p + (q + r)?
(p + q) ⋅ r
(p + q) + r
p + qr
q + pr
Answer:
(p + q) + r
is the correct answer
Evaluate the following numerical expressions.
a. 2 × 5 + 3 × 2 + 4
b. 2 × (5 + 3 × 2 + 4)
30
c. 2 × 5 + 3 × (2 + 4)
d. 2 × (5 + 3) × 2 + 4
e. (2 × 5) + (3 × 2) + 4
f. 2 × (5 + 3) × (2 + 4)
Can the parentheses in any of these expressions be removed without changing the value of the expression? Explain why or why not.
Answer:
Step-by-step explanation:
A. 20
B. 20 (what is the 30 thing)
C. 28
D. 36
E. 20
F. 96
One year, the population of a city was 358,000. Several years later it was 286,400. Find the percent decrease.
A percentage is a way to describe a part of a whole. The percentage decrease is 20%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
One year, the population of a city was 358,000. Several years later it was 286,400. Therefore, the percentage decrease is,
Percentage decrease = (358,000-286,400)/(358,000) × 100% = 20%
Hence, the percentage decrease is 20%.
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Hypothesis Test for the Population Mean (II)
A team averaging 110 points is likely to do very well during the regular season. The coach of your team has hypothesized that your team scored at an average of less than 110 points in the years 2013-2015. Test this claim at a 1% level of significance. For this test, assume that the population standard deviation for relative skill level is unknown.
You are to write this code block yourself.
Use Step 3 to help you write this code block. Here is some information that will help you write this code block. Reach out to your instructor if you need help.
The dataframe for your team is called your_team_df.
The variable 'pts' represents the points scored by your team.
Calculate and print the mean points scored by your team during the years you picked.
Identify the mean score under the null hypothesis. You only have to identify this value and do not have to print it. (Hint: this is given in the problem statement)
Assuming that the population standard deviation is unknown, use Python methods to carry out the hypothesis test.
Calculate and print the test statistic rounded to two decimal places.
Calculate and print the P-value rounded to four decimal places.
The test statistic is -0.46 and the p-value is gotten as 0.3340
How to Calculate the P-value?The question is not complete because the data from the sample is 105, 107, 117, 106, 110.
Mean of sample is;
Mean = (105 + 107 + 117 + 106 + 110)/5
Mean; x' = 109
From online standard deviation calculator, the standard deviation of the sample is; S = 4.848
Now, the claim is that your team scored an average significantly less than 110 points. Thus, let's define the hypothesis as;
Null Hypothesis; μ = 110
Alternative Hypothesis; μ < 110
standard error of the mean; S_m = S/√n
S_m = 4.848/5
S_m = 2.17
Thus, the t-statistic is;
t = (x' - μ)/S_m
t = (109 - 110)/2.17
t = -0.46
Degree of freedom for this sample size is;
D.F = N - 1 =5 - 1 = 4
From online p-value from t-score calculator, we have;
p-value = 0.3340
The p-value is greater than the significance value and as such we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that your team scored an average significantly less than 110 points.
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