Answer:
Angle CBD = 34°
Step-by-step explanation:
Since sides CD = CB their corresponding angles will also be same
Ellis is going on a tour that costs $65 while on vacation. He was told to bring $118 to pay for the cost of the tour and dinner. Which of the following inequalities represents the money Ellis can spend on dinner?
Answer:
if ellie paid $65 for tour and she as told to bring 118 so total she had to pay is $183
Step-by-step explanation:
pls add me as your friend and make me
brainliest
Can someone please help me again! Tysm!!!
Answer:
129
Step-by-step explanation:
so they are basically the same angles but on different planes. Set them equal to each other.
14x+17=19x-23 solve for x
40=5x isolate x by dividing by 5
x=8
check
14(8)+17=19(8)-23
129=129
please help brainliest for correct answer and please show work
Answer:
13 and one third
Step-by-step explanation:
16 x 36 x 25 = 14400 5 x 12 x 18 =1080 so the answer is 14400/1080 simplified 13.3
Pedro bought a skateboard last week. The list price of the skateboard was $64.90. He has a 20% coupon. He has to pay 8.5%
sales tax. What is total price of the skateboard with the discount, including tax? Round to the nearest cent if necessary.
Two friends bring lemonade to your cookout. one brings 2.7 liters and the other brings 3.54 liters. how much lemonade do they bring
The total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.
The methods we use to add or subtract decimals are as follows:
Vertically align the decimal points. Any necessary zeros should be entered.Treat the integers as whole numbers when adding or subtracting them.Align the decimal point with the numbers being added or subtracted so that it sits vertically above the sum or difference.In the question, we are informed that two friends bring lemonade to the cookout. The first brings 2.7 liters and the second brings 3.54 liters.
We are asked to find the total lemonade brought by them to the cookout.
To find the total lemonade, we add both the decimal quantities following the steps discussed.
2.7
+ 3. 54
Step 1: Adding zeroes:
2.70
+ 3. 54
Step 2: Treating them as numbers and adding:
2.70
+ 3. 54
________
624
Step 3: Aligning decimal points:
2.70
+ 3. 54
________
6.24
Thus, the total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.
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e are conducting a hypothesis test using α = 0.05. h0:do not build brick-and-mortar store. ha:build brick-and-mortar store. we determine that the p-value is .20. what is our decision?
Based on the hypothesis test using a significance level (α) of 0.05 and a p-value of 0.20, we fail to reject the null hypothesis, which suggests that we should not build a brick-and-mortar store.
In hypothesis testing, we compare the p-value to the significance level (α) to make a decision about the null hypothesis (H0). The null hypothesis states that there is no significant effect or relationship, while the alternative hypothesis (Ha) suggests otherwise.
In this case, the null hypothesis (H0) states that we should not build a brick-and-mortar store, and the alternative hypothesis (Ha) suggests that we should build one. When the p-value is higher than the significance level (α), it means that we do not have enough evidence to reject the null hypothesis.
Given that the p-value is 0.20 and the significance level (α) is 0.05, the p-value is greater than α. Therefore, we fail to reject the null hypothesis, indicating that there is not enough evidence to support building a brick-and-mortar store. This means that based on the statistical analysis, it would be recommended not to proceed with constructing a physical store.
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martin is a food critic reviewing a restaurant that has 6 main courses, 3 desserts, and 5 appetizers he has yet to try. martin asks the server to surprise him with one of the remaining items. what is the probability that martin is served a main course?
3/7 is the probability that martin is served a main course.
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
In addition to being expressed as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.
A = Served with main course
n(A) = 6
S = sample space total no of different courses
n(S) = 6 + 3 + 5 = 14
P(A) = n(A)/n(S) = 6/14 = 3/7
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triangles abc and xyz are similar. the length of the sides of abc are 121 cm, 105 cm, and 98 cm. the length of the smallest side of xyz is 52 cm, what is the length of the longest side of xyz? round your answer to one decimal place.
Since triangles abc and xyz are similar, their corresponding sides are proportional.
Let's label the sides of triangle xyz as a, b, and c. We know that the smallest side of xyz (side a) is 52 cm. We need to find the length of the longest side of xyz (which we can label as side c).
We can set up a proportion to solve for c: 121/52 = 105/b = 98/c
Solving for b, we get: 121/52 = 105/b
b = (105*52)/121
b ≈ 45.6
Now we can set up a new proportion to solve for c: 121/52 = 98/c
Multiplying both sides by c, we get: 121c/52 = 98
Solving for c, we get:
c = (98*52)/121
c ≈ 42.3
Therefore, the length of the longest side of xyz is approximately 42.3 cm.
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Help would be appreciated for this question!!!
Answer:
A
Step-by-step explanation:
Recall that sin = opposite over hypotenuse
For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.
The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem
\(a^2+b^2=c^2\) where a and b = legs and c = hypotenuse
we are given that the legs = 2 and 4 and need to find the hypotenuse
That being said we plug in what we are given and solve for c
\(2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2\)
In order to get the exact value of c we must get rid of the exponent.
To do so we can take the square root of both sides
\(\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}\)
hence, the hypotenuse = √20
Now lets look back at the question
Find sin∠A to the nearest hundredth.
well remember sin = opposite over hypotenuse
The opposite of sin∠A is 2 and the hypotenuse is √20
Hence, sin∠A = \(\frac{2}{\sqrt{20} }\) which is equivalent to .447213595
Our last step is to round to the nearest hundredth
We get the sin∠A = .45
HELP PLEASE I HAVE 15 MINS LEFT
In AABC median AM is drawn from vertex A to BC, BM = 14x and MC = 6x + 56. Determine and
state the value of x.
Answer:
x = 7
Step-by-step explanation:
A median bisects the opposite side length, therefore
14x = 6x+56
8x = 56,
x = 7
Answer:
x = 7
Step-by-step explanation:
given:
AM is the median
BM = 14x
MC = 6x + 5x
since the median is drawn fron vertex A to BC it bisects the BC into two equal halves. So,
14x = 6x + 54
14x - 6x = 54
8x = 54
x = 54/8
x = 7
The General Social Survey asked 1676 people how many hours per day they were able to relax. The results are presented in the following table: 0 114 1 156 2 336 3 251 4 316 5 231 6 149
7 33
8 60
Total 1676 Consider these 1676 people to be a population. Let X be the number of hours of relaxation for person sampled at random from this population a) Construct the probability distribution of X. (3 marks) b) Find the probability that a person relaxes more than 4 hours per day. (2 marks) c) Find the probability that a person relaxes from 2 to 6 hours per day d) Find the probability that a person does not relax at all (2 marks) e) Compute the mean Mx. (3 marks) f) Compute the standard deviation Ox: (3 marks)
The probability distribution of the number of hours per day people are able to relax is constructed, and probabilities of relaxing more than 4 hours, between 2 to 6 hours, and not relaxing at all are 0.283, 0.767 and 0.068 respectively. The mean and standard deviation are 3.326 hours and 1.950 hours (approx.) respectively.
The probability distribution of X is:
X Frequency Probability
0 114 0.068
1 156 0.093
2 336 0.201
3 251 0.150
4 316 0.189
5 231 0.138
6 149 0.089
7 33 0.020
8 60 0.036
1676 1.000
The probability that a person relaxes more than 4 hours per day is:
P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)
= 0.138 + 0.089 + 0.020 + 0.036
= 0.283
The probability that a person relaxes from 2 to 6 hours per day is:
P(2 ≤ X ≤ 6) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)
= 0.201 + 0.150 + 0.189 + 0.138 + 0.089
= 0.767
The probability that a person does not relax at all is:
P(X = 0) = 0.068
The mean Mx is:
Mx = Σ(X * P(X))
= 00.068 + 10.093 + 20.201 + 30.150 + 40.189 + 50.138 + 60.089 + 70.020 + 8*0.036
= 3.326 hours
The standard deviation Ox is:
Ox = sqrt[Σ(X^2 * P(X)) - Mx^2]
= sqrt[(0^20.068)+(1^20.093)+(2^20.201)+(3^20.150)+(4^20.189)+(5^20.138)+(6^20.089)+(7^20.020)+(8^2*0.036) - 3.326^2]
= 1.950 hours (approx.)
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What proportion of these candy bars have fewer than 200 calories? (round your answer to two decimal places.)
The proportion of candy bars with fewer than 200 calories cannot be determined without additional information.
To calculate the proportion of candy bars with fewer than 200 calories, we need to know the total number of candy bars and the number of candy bars that have fewer than 200 calories.
Without this information, we cannot determine the proportion. The number of candy bars with fewer than 200 calories could vary greatly depending on the specific dataset or context.
The proportion of candy bars with fewer than 200 calories cannot be determined without additional information regarding the total number of candy bars and the number of candy bars that fall into that category.
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Given the following ANOVA table for three treatments each with six observations: df Mean square Source Treatment Error Total Sum of squares 1,122 1,074 2,196 What is the treatment mean square? Multiple Choice O 71.6 71.8 O O 561 537 a
The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.
Based on the ANOVA table you've provided, you're interested in determining the treatment mean square. The treatment mean square (also called mean square between) is calculated by dividing the treatment sum of squares by the treatment degrees of freedom (df). Unfortunately, the ANOVA table appears to be incomplete, and I am unable to give you the specific numbers for the calculations.
However, I can guide you on how to calculate the treatment mean square. Once you have the treatment sum of squares and treatment df, simply follow this formula:
Treatment Mean Square = Treatment Sum of Squares / Treatment df
After applying this formula, you'll be able to choose the correct answer from the multiple-choice options you've mentioned: 71.6, 71.8, 561, or 537.
The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.
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the sides of a parallelogram are 11 feet and 17 feet. the longer diagonal is 22 feet. find the length of the shorter diagonal.
Length of the shorter diagonal of the parallelogram will be 18.46 feet
Let the Parallelogram ABCD with BD and AC as it’s diagonal
According to the question,
AB = 17 feet
AD = 11 feet
As the opposite sides of a parallelogram are parallel and equal
Therefore, AB = CD = 17 feet
AD = BC = 11 feet
Also the longer diagonal, BD = 22 feet
In triangle BCD, using cosine formula
\(BD^{2}\) = \(CD^{2}\) + \(BC^{2}\)- 2BC.CD.CosC
\(22^{2}\) = \(17^{2}\) + \(11^{2}\) - 2(11)(17)Cos C
484 = 289 + 121 - 374CosC
-0.197 = Cos C
C = arc Cos(-0.197)
Therefore, C = \(110^{0}\)
Now ∠C + ∠D = \(180^{0}\)
101+ ∠D = 180
∠D = \(79^{0}\)
Now, in triangle ADC
\(AC^{2}\) = \(AD^{2}\) + \(CD^{2}\) - 2AD.CD.CosD
\(AC^{2}\) = \(11^{2}\) + \(17^{2}\) - 2(11)(17)Cos79
\(AC^{2}\) = 121 + 289 - 374Cos79
\(AC^{2}\) = 410 -364(.19)
\(AC^{2}\) = 340.84
AC = sqrt(340.84)
AC = 18.46
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The quality control manager at a factory records the number of equipment breakdown each day . Let the random variable Y represent the number of breakdowns in one day. Does standard deviation of why is 0.28. Which of the following is the best interpretation of the standard variable
Answer:
On average, the number of breakdowns per day varies from the mean by about 0.28.
Step-by-step explanation:
What type of number is √/2?
Let R be a relation defined on ℤ as follows: For all m, n ε ℤ, m R n iff 4 | (m2 – n2). a) Prove that R is an equivalence relation. b) Describe the distinct equivalence classes of the relation R. c) Do the distinct equivalence classes form a partition of ℤ? Explain.
the distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ.
What is Equivalence relation?
An equivalence relation is a relation between elements of a set that satisfies three properties: reflexivity, symmetry, and transitivity.
a) To prove that R is an equivalence relation, we need to show that it satisfies three properties: reflexivity, symmetry, and transitivity.
Reflexivity: For any integer m, we need to show that m R m, i.e., 4 |\((m^2 - m^2).\) Since the difference of squares is 0, which is divisible by 4, the relation is reflexive.
Symmetry: For any integers m and n, if m R n, then we need to show that n R m. If 4 | \((m^2 - n^2)\), then \((m^2 - n^2)\) is divisible by 4. Taking the negative of both sides, we have\((-n^2 + m^2) = (m^2 - n^2)\), which is also divisible by 4. Therefore, n R m, and the relation is symmetric.
Transitivity: For any integers m, n, and p, if m R n and n R p, then we need to show that m R p. Suppose 4 |\((m^2 - n^2)\)and 4 \(| (n^2 - p^2)\). This means \((m^2 - n^2) and (n^2 - p^2)\)are both divisible by 4. Adding these two divisibility statements, we get (m^2 - p^2) is also divisible by 4, which implies m R p. Hence, the relation is transitive.
Since the relation R satisfies reflexivity, symmetry, and transitivity, it is an equivalence relation.
b) The distinct equivalence classes of the relation R can be described by the set of all integers that are congruent modulo 4. In other words, each equivalence class contains integers that have the same remainder when divided by 4.
The distinct equivalence classes can be denoted as follows:
[0] = {..., -8, -4, 0, 4, 8, ...}
[1] = {..., -7, -3, 1, 5, 9, ...}
[2] = {..., -6, -2, 2, 6, 10, ...}
[3] = {..., -5, -1, 3, 7, 11, ...}
Each equivalence class consists of integers that satisfy the condition 4 | (m^2 - n^2), and within each class, any two integers have their squares yielding the same remainder when divided by 4.
c) The distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ. A partition of a set is a collection of non-empty, pairwise disjoint subsets whose union is the entire set.
In this case, the equivalence classes [0], [1], [2], and [3] are non-empty and pairwise disjoint because no integer can simultaneously belong to two different equivalence classes. Also, the union of all the equivalence classes covers the entire set of integers, as each integer belongs to exactly one of the equivalence classes.
Therefore, the distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ.
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Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket
Given:
Total amount spend on movie = $75
Each friend bought a ticket and a small popcorn that cost $8.25.
To find:
The price of each ticket.
Solution:
Let x be the price of each ticket.
Total cost of ticket and popcorn of each friend \(=x+8.25\)
Total cost of ticket and popcorn of three friend \(=3(x+8.25)\)
It is given that, the total amount spend on movie is $75. So,
\(3(x+8.25)=75\)
\(x+8.25=\dfrac{75}{3}\)
\(x+8.25=25\)
Subtract 8.25 from both sides.
\(x=25-8.25\)
\(x=16.75\)
Therefore, the cost of each movie ticket is $16.75.
What is the domain of H
The domain of the function h which is shown in the graph will be [-5, 5].
The domain means all the possible values of x and the range means all the possible values of y.
In mathematics, the domain of a function is the set of all possible input values (also called the independent variable) for which the function is defined. It is the set of all values that can be plugged into the function to obtain a valid output (also called the dependent variable).
From the graph, the domain of the function h is from -5 to 5.
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why can’t you use the product of powers rule to simplify this expression? explain. 34 · 28
You cannot use the product of powers rule to simplify 34 · 28.
The product of powers rule states that when you multiply two powers with the same base, you can add the exponents. For example, 23 · 25 = 28 because 2+3=5 and 5+3=8.
In the expression 34 · 28, the bases are different. 34 means 3 raised to the power of 4, and 28 means 2 raised to the power of 8. Since the bases are not the same, you cannot simplify the expression using the product of powers rule.
Hence, The product of powers rule only applies when the bases of the powers are the same, so it cannot be used to simplify expressions with different bases, such as 34 · 28.
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What’s equivalent to -3 ( 4x - 2 ) - 2x?
Answer:
-14x+6
Step-by-step explanation:
A circle is centered at O. The tangent to the circle at P is extended to Q. Line segment QS intersects the circle at R. Given that OS = 2, SR = RQ = 3, and PQ = 6, find the radius of the circle.
The radius of the circle will be \(\sqrt{22}\).
In our question, we shall first extend QRS to the circle's point T.
According to the power of a point.
\(QP^{2}\) = QR*QT
\(6^{2}\) = 3*QT
QT = 12
Since QR = 3, RT = 9.
Since RS = 3, ST = 6.
Draw OT and OR, creating a triangle(TSO) and triangle(RSO).
OT and OR are radii, Let the radius be r.
Use the Law of Cosines on these two triangles.
OT2 = \(r^{2}\) = \(6^{2}\) + \(2^{2}\) - 2*6*2*cos(TSO)
OR2 = r2 = \(3^{2}\) + \(2^{2}\) - 2*3*2*cos(RSO)
Since these are equal:
\(6^{2}\) + \(2^{2}\) - 2*6*2*cos(TSO) = \(3^{2}\) + \(2^{2}\) - 2*3*2*cos(RSO)
40 - 24*cos(TSO) = 13 - 12*cos(RSO)
Since angle(RSO) is supplementary to angle(TSO), cos(RSO) = - cos(TSO)
40 - 24*cos(TSO) = 13 + 12*cos(TSO)
27 = 36*cos(TSO)
0.75 = cos(TSO)
Since \(OT^{2}\) = \(r^{2}\) = \(6^{2}\) + \(2^{2}\) - 2*6*2*cos(TSO)
\(r^{2}\) = 40 - 24*0.75
\(r^{2}\) = 22
r = \(\sqrt{22}\)
Hence the radius of the given circle will be \(\sqrt{22}\).
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Simplify (−4.5)(−6)(5.4).
A. −145.8
B.−14.58
C. 14.58
D. 145.8
Answer:
the correct answer is D. 145.8
If AB = 2, AD = 5, and DE = 6, what is the length of ?
2.5
2.7
2.4
2.3
Please help
The length of BC in this problem is given as follows:
BC = 3.6.
What are similar triangles?Two triangles are defined as similar triangles when they share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The similar triangles for this problem are given as follows:
ABC and ADE.
Hence the proportional relationship for the side lengths is given as follows:
3/5 = BC/6.
Applying cross multiplication, the length BC is given as follows:
BC = 6 x 3/5
BC = 3.6.
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An athletic field is a 40 yd-by-80 yd rectangle, with a semicircle at each of the short sides. A running track 20 yd wide surrounds the field. If the track is divided into eight lanes of equal width, with lane 1 being the inner-most and lane 8 being the outer-most lane, what is the distance around the track along the inside edge of each lane?
The distance around the track along the inside edge of each lane is shown below.
We have to use
Perimeter = 2 x longer dimension+ π x shorter dimensions
So, Distance between lanes
= 20/8
= 2.5 yards
Now, the perimeters are
Lane 1:
= 2 x 80 + π x 56
= 335.84 yards
Lane 2:
= 2 x 80 + π x (56+ 2 x 2.5)
= 351.54 yards
Lane 3:
= 2 x 80 + π x (56+ 4 x 2.5)
= 367.24 yards
Lane 4:
= 2 x 80 + π x (56+ 6 x 2.5)
= 382.94 yards
Lane 5:
= 2 x 80 + π x (56+ 8 x 2.5)
= 398.64 yards
Lane 6:
= 2 x 80 + π x (56+ 10 x 2.5)
= 414.34 yards
Lane 7:
= 2 x 80 + π x (56+ 12 x 2.5)
= 430.04 yards
Lane 8:
= 2 x 80 + π x (56+ 14 x 2.5)
= 445.74 yards
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So I have 174 assignments, if I complete 4 assignments a week, how many days till I finish my work?
If you have 174 assignments and complete 4 assignments per week, it would take you 43 weeks to finish your work. That is roughly 294 days, given that there are approximately 7 days in a week.
If this is the actual amount of work you need to complete, I applaud you mate. Good luck.
Hope this helps! Have a good day. :)Which of the following is most likely the next step in the series?
Answer:
B. The triangle.
Step-by-step explanation:
Because as the list goes down, the number sides goes down by one.
4.3. Sihle is now twice as old as her daughter Zinhle. Ten years ago she was three times older than her daughter. Determine their current ages.
Answer:
Sihle is 40 and Zinhle is 20-----------------------
Let the current ages be x and y.
As per given information we can set up two equations:
1) x = 2y, Sihle is now twice as old as her daughter Zinhle2) x - 10 = 3(y - 10), 10 years ago she was 3 times olderSubstitute 2y for x into second equation and solve for y:
2y - 10 = 3y - 303y - 2y = 30 - 10y = 20Find the value of x:
x = 2*20 = 40make x the subject
3ax = m+n
Answer:
\(x = \dfrac{ m+n}{3a}\)
solve:
\(3ax = m+n\)\(x = \dfrac{ m+n}{3a}\)\(3ax = m + n\)
\(x = \frac{m + n}{3a} \)
Answer : \(x = \frac{m + n}{3a} \)
Can someone plz help me
Answer:
A = 28.27
Step-by-step explanation:
Answer:
9pi meters^2
Step-by-step explanation:
The area of a circle is pi * r^2. Basically, pi is simplified to 3.14 but for an exact answer, you'd leave it as a symbol. the "r" stands for the radius which is given(3). we square 3 to get 9. so the answer should be 9 pi or about 28.26.