Answer:
1. 3.33333333333
2. -1.3
3. 2.61904761905
4. 2.00833333333
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
Ava scored 18 points in a basketball game. She scored seven points more than Claire. Let c
be the number of points scored by Claire. Set up an equation that lets you solve for the value
of c.
Answer:
11 points
Step-by-step explanation:
Claire had 11 points because 18-7=11
C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Ava scored 18 points in a basketball game.
Let Ave score be represented as A.
Ave scored seven points more than Claire.
Let C be the Claire score.
A=7+C
As given Ava scored 18 points in a basketball
so the value of A is 18
18=7+C
Now let us find the value of C
Subtract 7 from both sides
18-7 =C
11=C
Hence, C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.
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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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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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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
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.
What is 1 2/3 multiple 2/3
Answer:
[tex]1\frac{1}{9}[/tex]
Step-by-step explanation:
Given the following question:
[tex]1\frac{2}{3} \times\frac{2}{3}[/tex]
In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.
[tex]1\frac{2}{3} =3\times1=3+2=\frac{5}{3}[/tex]
[tex]\frac{5}{3} \times\frac{2}{3}[/tex]
[tex]5\times2=10[/tex]
[tex]3\times3=9[/tex]
[tex]=\frac{10}{9}[/tex]
Convert the improper fraction into a mixed number:
[tex]\frac{10}{9}[/tex]
[tex]\frac{10}{9} =10\div9=1\frac{1}{9}[/tex]
[tex]=1\frac{1}{9}[/tex]
Your answer is "1 1/9."
Hope this helps.
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.
According to the Centers for Disease Control and Prevention (CDC) , 47% of adults in the United States have hypertension. In a random sample of 500 U.S adults, find the probability that sample the proportion of adults with hypertension is greater than 0.5.
The probability that sample the proportion of adults with hypertension is greater than 0.5 is 0.090
How to determine the probability?The given parameters are:
p = 47%
Sample size, n =500
The standard deviation is calculated as:
[tex]\sigma = \sqrt{np(1 - p)[/tex]
So, we have:
[tex]\sigma = \sqrt{500 * 47\%(1 - 47\%)[/tex]
Evaluate
σ = 11.16
The number of adults with hypertension is calculated as:
x = 500 * 0.5 = 250
And the mean is:
μ = 500 * 0.47 = 235
Start by calculating the z-score
[tex]z = \frac{x - \mu}{\sigma}[/tex]
This gives
[tex]z = \frac{250 - 235}{11.16}[/tex]
Evaluate
z = 1.34
The probability is then calculated as:
P(z >1.34) = ??
From z table of probabilities, we have:
P(z >1.34) = 0.090
Hence, the probability that sample the proportion of adults with hypertension is greater than 0.5 is 0.090
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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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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:)
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
What is the value of the expression when n = 3?
6 (n² + 2)
n
O 16
O22
O 30
O 66
Answer:
66
Step-by-step explanation:
6(n² + 2)
6(3² + 2)
6(9 + 2)
6(11)
66
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
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
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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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
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.
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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~Just a smiley person helping fellow students :)
lmk if u can figured it out
Answer:
see explanation
Step-by-step explanation:
since the triangles are congruent , then corresponding sides and angles are congruent.
(1)
Δ HIJ ≅ Δ LMN
sides angles
--------- -----------
HI ≅ LM ∠ H ≅ ∠ L
HJ ≅ LN ∠ I ≅ ∠ M
IJ ≅ MN ∠ J ≅ ∠ N
(2)
Δ XYZ ≅ Δ JKL
sides angles
-------- ------------
XY ≅ JK ∠ X ≅ ∠ J
XZ ≅ JL ∠ Y ≅ ∠ K
YZ ≅ KL ∠ Z ≅ ∠ L
Answer:
1. ΔHIJ ≅ ΔLMN
sides: HI ≅ LM, IJ ≅ MN, HJ ≅ LN.angles: ∠H ≅ ∠L, ∠I ≅∠M, ∠J ≅∠N.2. ΔXYZ ≅ ΔJKL
sides: XY ≅ JK, YZ ≅ KL, XZ ≅ JL.angles: ∠X ≅ ∠J, ∠Y ≅∠K, ∠Z ≅∠L.Step-by-step explanation:
I believe it's asking to list the corresponding sides and pairs of angles in the congruent triangles.
Look at the order of the letters HIJ and LMN. There are 3 letters, which represent 3 sides and 3 angles. The first, second, and third letters of the first triangle correspond to the first, second, and third letters of the second triangle.
1. ΔHIJ ≅ ΔLMN
sides: HI ≅ LM, IJ ≅ MN, HJ ≅ LN.angles: ∠H ≅ ∠L, ∠I ≅∠M, ∠J ≅∠N. (these can also be written as ∠HIJ ≅ ∠LMN, ∠HJI ≅ ∠LNM, ∠IHJ ≅ ∠MLN... but it depends on what the instructor wants really).2. ΔXYZ ≅ ΔJKL
sides: XY ≅ JK, YZ ≅ KL, XZ ≅ JL.angles: ∠X ≅ ∠J, ∠Y ≅∠K, ∠Z ≅∠L.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.
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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What is the value of x in the equation three-fifths x = negative 45? –75 –27 27 75
Answer:
x = -75
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] x = - 45 ( multiply both sides by 5 to clear the fraction )
3x = - 225 ( divide both sides by 3 )
x = - 75
Answer:
A
Step-by-step explanation:
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:
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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9(w – 4) – 7w = 5(3w – 2)
Answer:
-2 =w
Step-by-step explanation:
9(w – 4) – 7w = 5(3w – 2)
The first step is to distribute
9w -36 - 7w = 15w -10
Combine like terms
2w -36 = 15w -10
Subtract 2w from each side
2w -36 -2w = 15w-10-2w
-36 = 13w -10
Add 10 to each side
-36+10 =13w-10+1-
-26 = 13w
Divide by 13
-26/13 =13w/13
-2 =w
Marc is trying to determine how many blue marbles are in a bag of `100` marbles. he can only fit `10` marbles in his hand at a time. he takes `11` samples of `10` marbles, returning the marbles to the bag each time. based on these results, how many of the `100` marbles do you expect are blue
Based on the result from the box plot, the number of blue marbles is equal to the median of the data set and this is equal to 40.
What is a boxplot?A boxplot is a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread. Also, the five-number summary include the following:
MinimumFirst quartileMedianThird quartileMaximumFor this exercise, we would create a box plot (see attachment) for the marbles in a bag of 100 marbles. By critically observing the box plot, we can logically deduce that the number of blue marbles is equal to the median of the data set and this is given by:
Median = 4 × 10
Median = 40.
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Do the ordered pairs in the table represent a linear function?
Answer:
No.
Step-by-step explanation:
If you look at the y values, they do not have a constant rate of change. The numbers in the row for y: 3+1 is 4. 4+1 is 5. 5+7 is 12 .12+19 is 31. 31+ 37 is 68. So, as you can see, the rates at which each number changes are not constant. Therefore, the table does not represent a linear function.
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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