Answer:
= 1 : 4
Step-by-step explanation:
14 : 56 in it's simplest form
= 14 / 56
= 1/4
= 1 : 4
14 : 56 = 1 : 4
Therefore, 14 : 56 in it's simplest form is 1 : 4
Given a set of 10 letters { I, D, S, A, E, T, C, G, M, W}, answer the following: len ( I, D, S, A, a) With the given letters above, we can construct a binary search tree (based on alphabetical
ordering) and the sequence < C, D, A, G, M, I, W, T, S, E is obtained by post-order traversing this tree. Construct and draw such a tree. NO steps of construction required.
The Binary Search Tree is as follows:
E
/ \
S T
/ \
I W
/ \
A M
/ \
C G
\
D
The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5
Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:
post-order sequence is: C, D, A, G, M, I, W, T, S, E.
To draw the binary search tree for the given post-order sequence, follow the steps below:
Start with the root node E and mark itFor the given post-order sequence C, D, A, G, M, I, W, T, S, E, identify the last element E as the root node. This node will be at the center of the drawing.Place the node containing the element S to the left of E, and mark it. Similarly, place the node containing the element T to the right of E, and mark it.Place the node containing the element I to the left of S, and mark it. Similarly, place the node containing the element W to the right of T, and mark it.Place the node containing the element A to the left of I, and mark it. Similarly, place the node containing the element M to the right of W, and mark it.Place the node containing the element C to the left of A, and mark it. Similarly, place the node containing the element G to the right of M, and mark it.Place the node containing the element D to the right of C, and mark it. Similarly, place the node containing the element E to the right of G, and mark it. This completes the construction of the binary search tree.To know more about Binary Search Tree, visit:
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Frank paid $46 in tax on a laptop that cost $920. What percent sales tax did Frank pay?
Answer:
743627367867628718473867267462664772
Step-by-step explanation:
i have a question why are most of these from 5th grade?
answerrrrrr plssss ill giveee brainliesttttt
\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)
Please Help 50 POINTS!!
Answer:
D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)
Step-by-step explanation:
hope this helps
Answer: D has the largest perimeter
Step-by-step explanation:
The top numbers of fractions describe the vertex and the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.
A.
P = 2(11) + 2(3)
P = 22+6
P=28
B.
P = 2(4) + 2(9)
p = 8 +18
P = 26
C.
P = 2(5) + 2(9)
P = 10 +18
P = 28
D.
P = 2(8) + 2(7)
P = 16 +14
P = 30
On his quiz, Jim answered 1
10
of the questions incorrectly.
What percent is equal to?
10
Answer:
90%
Step-by-step explanation:
A coin is flipped and a card is randomly selected from a deck of 52. What is the probability the coin will land on heads and the card will be a Queen? There are 4 queens in a deck of cards.
A. 1/104
B. 6/13
C. 1/26
D. 4/52
Answer:
The probability is 4/52
What is Probability?
the extent to which something is probable; the likelihood of something happening or being the case.
"the rain will make the probability of their arrival even greater"
Similar:
likelihood
likeliness
prospect
expectation
chance
chances
odds
possibility
a probable or the most probable event.
plural noun: probabilities
"for a time revolution was a strong probability"
Similar:
probable event
prospect
possibility
good/fair/reasonable bet
the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
"the area under the curve represents probability"
Use substitution to write an equivalent quadratic equation. (3x 2)2 7(3x 2) â€"" 8 = 0
Answer: We on da same question i do not know
Step-by-step explanation:
Simplify the expression –3(x 3)2 – 3 3x. what is the simplified expression in standard form? –3x2 – 18x – 27 –3x2 – 15x – 30 –3x2 3x 6 –3x2 3x – 30
The simplification of the given expression will be \((-3x^2-15x-30)\).
What will be the simplification of the given expression?Given expression is
\(-3(x+2)^2 -3+3x\)
By applying \((a+b)^2=a^2+2ab+b^2\) we get
\(-3(x^2+6x+9)-3+3x\)
Multiplying by -3 into the whole bracket we get
\(-3x^2-18x-27-3+3x\)
\(-3x^2-18x-30+3x\)
\(-3x^2-15x-30\)
Thus the simplification of the given expression will be \((-3x^2-15x-30)\)
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Answer:
B. –3x^2 – 15x – 30
Step-by-step explanation:
let h(x) be an antiderivative of x3+sinxx2+2. if h(5) = π, then h(2) =
Since, h(x) be an antiderivative of x3+sinxx2+2. if h(5) = π, then,
h(2) = (1/4)(2)⁴ - (1/2)√π erf(2√π/2) + 2(2) + C
In order to find the value of h(2), we can use the given information that h(x) is an antiderivative of the function x³ + sin(x²) + 2 and that h(5) is equal to π. By evaluating h(5), we can determine a relationship between h(x) and x³ + sin(x²) + 2. Then, we can use this relationship to calculate h(2).
To evaluate h(5), we can substitute x = 5 into the expression x³ + sin(x^2) + 2 and integrate it. The antiderivative of x³ is (1/4)x⁴, and the antiderivative of sin(x²) is (-1/2)√π erf(x√π/2), where erf represents the error function. However, since h(x) is an antiderivative of x³ + sin(x²) + 2, the constant term is included as well. So, we have h(x) = (1/4)x^4 - (1/2)√π erf(x√π/2) + 2x + C, where C is the constant of integration.
Given that h(5) = π, we can substitute x = 5 and π into the equation above to obtain π = (1/4)(5)⁴ - (1/2)√π erf(5√π/2) + 2(5) + C. Simplifying the equation, we can solve for C.
Now that we have the value of C, we can determine h(2) by substituting x = 2 into the expression for h(x).
Thus, h(2) = (1/4)(2)⁴ - (1/2)√π erf(2√π/2) + 2(2) + C. Plugging in the known values and the calculated value of C, we can compute the numerical result for h(2).
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Please help 100 points and will mark brainliest!!!!!!
An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles, as shown.
a. Write a formula for the perimeter of the indoor track.
P=
b. Solve the formula for x.
x=
c. The perimeter of the track is 660 feet, and r is 50 feet. Find x. Round your answer to the nearest foot.
x= feet
Answer:
A)
\(P=2x+2\pi r\)
B)
\(x=\frac{1}{2}(P-2\pi r)\)
C)
\(x\approx173\text{ feet}\)
Step-by-step explanation:
So, the track is composed of a rectangle and two semicircles.
The side length of the rectangle is x, and the radius of the semicircles is r.
Part A)
The perimeter is simply the length around the figure.
We can see that the perimeter will be equivalent to two times x plus two times the circumference of the semi-circles.
So, let's figure out the circumference of the semi-circles. The circumference of a normal circle is:
\(C_{\text{normal}}=2\pi r\)
A semi-circle is half of that. So, we will divide by 2:
\(C_{\text{ semi}}=\pi r\)
We are excluding the diameter from this.
So, our perimeter will be two times x and two times the circumference of a semi-circle (since there are two semi-circles). In other words:
\(P=2(x)+2(\pi r)\)
Simplify:
\(P=2x+2\pi r\)
Part B)
So we acquired the formula:
\(P=2x+2\pi r\)
To solve for x, first, subtract 2πr from both sides. So:
\((P)-2\pi r=(2x+2\pi r)-2\pi r\)
The right side cancels. So:
\(P-2\pi r=2x\)
Multiply both sides by 1/2:
\(\frac{1}{2}(P-2\pi r)=\frac{1}{2}(2x)\)
The right side cancels. So:
\(\frac{1}{2}(P-2\pi r)=x\)
Flip:
\(x=\frac{1}{2}(P-2\pi r)\)
Part C)
So we want to find x when the perimeter is 660 and r is 50 feet. So, substitute them into our formula. We have:
\(x=\frac{1}{2}(P-2\pi r)\)
Substitute 660 for P and 50 for r:
\(x=\frac{1}{2}(660-2\pi (50))\)
Multiply:
\(x=\frac{1}{2}(660-100\pi )\)
Distribute:
\(x=330-50\pi\)
Use a calculator. So:
\(x\approx173\text{ feet}\)
And we're done!
Write an expression to model the phrase:
Myles has $635 nd is earning $120 each
week as a lifeguard.
Answer:
\(Y= 120n+635\)
Step-by-step explanation:
Alright!
we are expected to model the total amount of money Myles have\
firstly he has with him $635
and he is earning $120 weekly
Say the number of weeks he worked is given is n
and let the amount of money Myles will have after n weeks be y
hence we can now model the equation to represent how much Myles will have after n weeks
\(Y= 120n+635\)
The expression is same as the equation for a straight line
i.e \(y= mx+c\)
pts If I have a two-way between subjects ANOVA with two groups per factor, how many factors do I have and how many groups do I have overall in my study? (Hint: the first number should be the number of factors that you have and the second number should be the number of groups that you have) O2; cannot be determined O 2:4 O 4; cannot be determined O 4: 2
If I have a two-way between subjects ANOVA with two groups per factor, 2 factors and 4 groups overall in the study.
In a two-way between-subjects ANOVA, the term "two-way" indicates that there are two factors being studied. Each factor has two groups. Therefore, the number of factors is 2, and the number of groups is 4.
The two factors in the ANOVA refer to the independent variables or conditions being manipulated in the study. Each factor has two levels or groups, which are the different conditions or treatment combinations being compared. In total, there are four groups formed by the combinations of the two factors.
Understanding the number of factors and groups is important in interpreting and analyzing the results of the ANOVA. It helps identify the specific independent variables under investigation and the various groups or conditions within each factor. This knowledge is essential for conducting appropriate statistical tests and drawing meaningful conclusions from the study.
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An apartment building has 24 apartments. The floor area of each apartment is 786 square feet.
Which shows the equation you can use to find the floor area, f, of all the apartments and the value of f?
A. 24 + 786 = f; 810 square feet
B. 24 × 786 = f; 28,864 square feet
C. 24 × 786 = f; 18,864 square feet
D. 24 × 786 = f; 17,864 square feet
Answer:
c.
Step-by-step explanation:
i think at least i just used the calculator
14+ х = 3х2
What is the answer?
Answer:
It is -8
Step-by-step explanation:
i know this because what is 14-6 which equally 8 so i just put a negative sighn in front so it is -8
A genetic experiment with peas resulted in one sample of offspring that consisted of 475 green peas and 193 yellow peas. Find the 94% confidence interval to estimate the percentage of yellow peas. It was expected that 25% of the offspring peas would be yellow, do the results contradict the expectations? Round to the hundredths place of a percent-do not enter the % symbol.
Given:
Number of green peas = 475
Number of yellow peas = 193
Let's find the 94% confidence interval to estimate the percentage of yellow peas.
Where:
Total number of peas = 475 + 193 = 668
For the sample proportion, we have:
\(\begin{gathered} p^{\prime}=\frac{194}{668} \\ \\ p^{\prime}=0.2889 \end{gathered}\)For a 94% confidence interval, the significance level will be:
1 - 0.94 = 0.06
For the critical value, using the z-table, we have:
\(z_{\frac{\alpha}{2}}=z_{\frac{0.06}{2}}=z_{0.03}=1.881\)Now, to find the 94% confidence interval, apply the formula::
Where:
To find the margin of error E, we have:
\(E=z_{\frac{\alpha}{a}}*\sqrt{\frac{p^{\prime}(1-p^{\prime})}{n}}=1.881*\sqrt{\frac{0.2889(1-0.2889)}{668}}=0.032987\)Thus, we have:
\(\begin{gathered} p^{\prime}-EHence the confidence interval will be:
Lower limit = 0.2559 ==> 25.59%
Upper limit = 0.3219 ==> 32.19 %
The confidence interval does not contain 0.25, hence we can say that the true results contradicts the expectations.
ANSWER:
The confidence interval does not contain the expectation of 25%, hence, the true results contradicts the expectation.
Which inequality does the graph represent?
A. y −x − 3
B. y > −x − 3
C. y ≤ −x − 3
D. y ≥ −x − 3
Answer:
y > −x − 3
Step-by-step explanation:
What is the rate of change of e=3h+200
Answer:
3
Step-by-step explanation:
"Rate of change" is the real-world problem way of saying "slope."
So whenever a question asks you to find "rate of change", simply look for the slope.
y = mx + b
e = 3h + 200
mx = slope/rate of change
So, 3 would be your answer.
Find the magnitude and direction of the vector <3,9>
Round angles to the nearest degree and other values to the nearest tenth.
9; 72°
9.5; 80°
9; 80°
9.5; 72°
The magnitude of the vector (3, 9) is 3√10 and the measure of the angle is 71.6°
What are dot products and cross products?The cosine of the angle between the vectors and their magnitude are combined to form the dot product.
The dot product is represented by A.B = ABCos θ.
The sine of the angle between the vectors and their magnitude are combined to form the cross-product.
The cross product is represented by A×B = ABSin θ.
We know, The magnitude of a vector (a, b) is √(a² + b²), and the angle it possesses with respect to the positive x-axis is, tan(b/a).
Therefore, The magnitude of the vector (3, 9) is,
= √(3² + 9²).
= √90.
= 3√10.
And the angle is, Ф = tan⁻¹(9/3).
Ф = tan⁻¹(3).
Ф = 71.6°.
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Is the following number rational or irrational?
-117
Choose 1 answer:
Rational
Irrational
Answer:
-117 is irrational number
Answer:
Irrational
Step-by-step explanation:
Irrational number can't be written as a faction, -11pie can't be written as a fraction. Therefore it is a irrational number.
Joe walked is dog 3/3 mile every morning how much mike did he walked his dog every morning
Answer:
1 mile.
Step-by-step explanation:
3/3 mile is equal to 1 mile.
Answer:
Joe walked his dog 1 mile.
Step-by-step explanation:
3/3 =1 mile.
Which of the following statements is false?
2 ≥ 8
2 ≤ 8
8 ≤ 8
2 < 8
The false statement among the options provided is 2 ≥ 8. This statement claims that 2 is greater than or equal to 8, which is incorrect.
In reality, 2 is less than 8, so the statement is false.
0.25 recurring as a fraction
0.25 recurring can be expressed as the fraction 25/99.
What are Fractions?A fraction is a mathematical expression representing a part of a whole, or a ratio between two numbers. It consists of a numerator, which represents the part or ratio being considered, and a denominator, which represents the whole or total.
To express 0.25 recurring as a fraction, we can use the following method:
Let x = 0.25 recurring
Then 100x = 25.25 recurring (multiply both sides by 100 to move the decimal point)
Subtracting the first equation from the second equation, we get:
100x - x = 25.25 recurring - 0.25 recurring
99x = 25
x = 25/99
Therefore, 0.25 recurring can be expressed as the fraction 25/99.
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The price of a stock decreased by $20\%$ in 2001, and then decreased by $20\%$ in 2002. What percent increase in 2003 will restore the price to its value at the beginning of 2001? Express your answer to the nearest hundredth. Please explain!
oh come on
(read the comments(all of them))
The Top-Notch Middle School had athletes from all the grades playing on a sports team.
6th grade 7th grade 8th grade
Basketball 2 4 7
Baseball 1 6 5
Soccer 7 4 4
Football 8 15 10
Explain what the ratio 8:73 represents.
The ratio 8:73 represents the ratio of total athletes to 7th grade football players.
The ratio 8:73 represents the ratio of 6th grade football players to total athletes.
The ratio 8:73 represents the ratio of 8th grade baseball players to total athletes.
The ratio 8:73 represents the ratio of 6th grade athletes to total athletes.
Answer:
Step-by-step explanation:
/,
The ratio 8:73 represents the ratio of 6th grade football players to total athletes. The Option B is correct.
How do we derive the answer?We must add up the number of football players in each grade to get the ratio/
Data:
6th grade: 8 football players
7th grade: 15 football players
8th grade: 10 football players
The total number of football players is:
= 8 + 15 + 10
= 33.
The total number of athletes is:
6th grade: 2 (basketball) + 1 (baseball) + 7 (soccer) + 8 (football) = 18
7th grade: 4 (basketball) + 6 (baseball) + 4 (soccer) + 15 (football) = 29
8th grade: 7 (basketball) + 5 (baseball) + 4 (soccer) + 10 (football) = 26
The total number of athletes is:
= 18 + 29 + 26
= 73.
Therefore, the ratio of 6th grade football players to total athletes is 8:73.
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identify the linear expression that does not belong with the other three. Explain your reasoning?
a. (-5x+3)-(-7x-1)
b. ((-3x+3)-(-5x-2)
c. (x-6)-(-x-10)
d. (-7x+2)-(-9x-2)
Answer:
The linear expression that does not belong with the other three is (x-6)-(-x-10).
The reason is that the other three expressions involve subtracting two terms that are being multiplied by a negative number. In expression a, we have (-5x+3)-(-7x-1), where the second term is the negative of (-7x-1). In expression b, we have ((-3x+3)-(-5x-2)), where the second term is the negative of (-5x-2). In expression d, we have (-7x+2)-(-9x-2), where the second term is the negative of (-9x-2).
However, in expression c, we have (x-6)-(-x-10), where the second term is the negative of (-x-10). This expression does not fit the pattern of the other three, and therefore it is the expression that does not belong.
Step-by-step explanation:
Numbers 1,2,3,4,5,6,7,8, and 9 are written separately in a piece of paper. They are folder and put in a box. One piece of paper is chosen randomly. What is the event of getting a number?
The event of getting a number can be defined as selecting a piece of paper from the box that has one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, or 9 written on it.
In this scenario, the sample space consists of all the possible outcomes, which are the individual pieces of paper in the box. The sample space contains 9 elements, each corresponding to a different number.
The event of getting a number is a subset of the sample space, specifically the subset that includes the pieces of paper with numbers written on them. The event consists of the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9.
When a piece of paper is randomly chosen from the box, the event of getting a number occurs if the selected paper has one of the numbers written on it.
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In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse.
If b = 6.8 centimeters and c = 9.7 centimeters, what is the perimeter? If necessary, round to
the nearest tenth.
Answer:
P=23.4
Step-by-step explanation:
so using the pytogoren theroum
c2-b2= a2
so a= 6.9
so P= 6.9+6.8+9.7=23.4
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. Find the sum of the series ∑▒〖4n-1〗.
n = 1
Answer:
3
Step-by-step explanation:
Find the rejection region for a one-dimensional chi-square test of a null hypothesis concerning if k = 5 and α = .025.
The rejection region for this one-dimensional chi-square test with k = 5 and α = 0.025 is: Chi-square test statistic > C.
To obtain the rejection region for a one-dimensional chi-square test with a null hypothesis concerning k = 5 and α = 0.025, we need to determine the critical chi-square value.
The rejection region for a chi-square test is determined by the significance level (α) and the degrees of freedom (df).
In this case, k = 5 represents the number of categories or groups in the test, and the degrees of freedom (df) for a one-dimensional chi-square test are given by df = k - 1.
Since k = 5, the degrees of freedom would be df = 5 - 1 = 4.
To find the critical chi-square value at α = 0.025 and df = 4, we can refer to chi-square distribution tables or use statistical software.
The critical chi-square value for this test would be denoted as χ^2(0.025, 4).
Let's assume that the critical chi-square value is C.
The rejection region for the test would be the right-tail region of the chi-square distribution beyond the critical value C.
In other words, if the calculated chi-square test statistic is greater than C, we reject the null hypothesis.
So, the rejection region = Chi-square test statistic > C.
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