Based on the rating system and the summarize() and mean() functions, the code chunk to add is summarize(mean(Rating)) and the mean rating is 3.185933.
To determine the mean value for the variable Rating, you must add the code chunk summarize(mean(Rating)). Trimmed flavors df%>% summarize(mean(Rating)) is the right code. In this section of the code:
You can display summary statistics using the summarize() method. To generate specific statistics, you can combine the summarize() method with others like mean(), sd(), and max().
In this instance, you compute the mean value for the variable Rating using the mean() function.
The average score is 3.185933.
Learn more about code chunks here:https://brainly.com/question/30030609
#SPJ4
compared to smaller firms that export, larger companies tend to multiple choice systematically scan foreign markets to see where export opportunities lie. delay exporting until after their domestic market is fully saturated. be intimidated by the complexities and mechanics of exporting to foreign countries. be reactive about seeking opportunities for profitable exporting. hesitate to seek export opportunities because they do not know how big the opportunities actually are.
According to the profit point of view, compared to smaller firms that export larger companies tend to systematically scan foreign markets to see where export opportunities lie.
What does profit mean?
In math, profit means the excess of returns over expenditure in a transaction or series of transactions.
Here we have given that, compared to smaller firms that export, larger companies tend to to be what.
And for the reason more firms are not proactive is that they are unfamiliar with foreign market opportunities; they simply do not know how big the opportunities actually are or where they might lie. Simple ignorance of the potential opportunities is a huge barrier to exporting
Here we know that, smaller firms, are often intimidated by the complexities and mechanics of exporting to countries where business practices, language, culture, legal systems, and currency are very different from the home market
To know more about Profit here.
https://brainly.com/question/11018349
#SPJ4
Consider the following statement. (Assume that all sets are subsets of a universal set U.)
For all sets A, B, and C, if A ⊆ B and B ∩ C = ∅ then A ∩ C = ∅.
Construct a proof for the statement by selecting sentences from the following scrambled list and putting them in the correct order. Use the element method for proving that a set equals the empty set.
Then x ∈ B because A ⊆ B. In addition, we know that x ∈ C.
Then (A ∩ C)c = U.
Hence x ∈ B ∩ C by definition of intersection.
Then by definition of intersection and complement A = U.
By definition of intersection x ∈ A and x ∈ C.
Therefore A ⊈ B.
Thus B ∩ C ≠∅ by definition of ∅.
Proof by contradiction:
Suppose that there exists sets A, B, and C such that A ⊆ B, and B ∩ C = ∅ and A ∩ C ≠∅. Then there exists an element x such that x ∈ A ∩ C.
---Select--- Then x ∈ B because A ⊆ B. In addition, we know that x ∈ C. Then (A ∩ C)ᶜ = U. Hence x ∈ B ∩ C by definition of intersection. Then by definition of intersection and complement A = U. By definition of intersection x ∈ A and x ∈ C. Therefore A ⊈ B. Thus B ∩ C ≠∅ by definition of ∅.
---Select--- Then x ∈ B because A ⊆ B. In addition, we know that x ∈ C. Then (A ∩ C)ᶜ = U. Hence x ∈ B ∩ C by definition of intersection. Then by definition of intersection and complement A = U. By definition of intersection x ∈ A and x ∈ C. Therefore A ⊈ B. Thus B ∩ C ≠∅ by definition of ∅.
---Select--- Then x ∈ B because A ⊆ B. In addition, we know that x ∈ C. Then (A ∩ C)ᶜ = U. Hence x ∈ B ∩ C by definition of intersection. Then by definition of intersection and complement A = U. By definition of intersection x ∈ A and x ∈ C. Therefore A ⊈ B. Thus B ∩ C ≠∅ by definition of ∅.
---Select--- Then x ∈ B because A ⊆ B. In addition, we know that x ∈ C. Then (A ∩ C)ᶜ = U. Hence x ∈ B ∩ C by definition of intersection. Then by definition of intersection and complement A = U. By definition of intersection x ∈ A and x ∈ C. Therefore A ⊈ B. Thus B ∩ C ≠∅ by definition of ∅.
But this contradicts the supposition. Hence the supposition is false, and so A ∩ C = ∅.
The correct order of the given statements is- 1, 2, 3, 4, 5, 6, followed by 7.
Here, we are given the following statement-
For all sets A, B and C if A ≤ B and B∩C = Φ
then A∩C = Ф
We can use the proof-by-contradiction method to prove the given statement as shown below-
Suppose that there exist 3 sets, that are- A, B, and C
Such that A ≤ B, B∩C = Φ
and A∩C ≠ Φ
Then, there must exist an element x such that x ∈ A∩C
Now, by the definition of intersection, we have- x ∈ A and x ∈ C
Then x ∈ B because A ≤ B. Additionally, we know that x ∈ C
Hence, by the definition of intersection, x ∈ B∩C
Thus, B∩C ≠ Φ by definition of null set (Φ)
But this contradicts the supposition. Hence, our assumption is false and so A∩C = Ф.
The correct order of the given statements is- 1, 2, 3, 4, 5, 6, followed by 7.
Learn more about set theory here-
brainly.com/question/13458417
#SPJ4
two people are selected at random from a group of 16 republicans and 19 democrats. find the probability of each of the following. (round your answers to three decimal places.)
The probability of both people being Democrats is 0.243, and the probability of one person being a Republican and one person being a Democrat is 0.486.
To find the probability of each of the following, we can use the formula for the probability of selecting a group of items from a larger group with replacement:
P(A and B) = P(A) * P(B)
Where P(A) is the probability of selecting the first item, and P(B) is the probability of selecting the second item.
Both people are Democrats:
There are 16 Democrats and 31 total people, so the probability of selecting a Democrat is 16/31. Therefore, the probability of selecting two Democrats is (16/31) * (16/31) = 0.243.
One person is a Republican and one person is a Democrat:
There are 15 Republicans and 31 total people, so the probability of selecting a Republican is 15/31. There are 16 Democrats and 31 total people, so the probability of selecting a Democrat is 16/31. Therefore, the probability of selecting one Republican and one Democrat is (15/31) * (16/31) = 0.486.
Learn more about Probability here:
https://brainly.com/question/24756209
#SPJ4
In 1989, the average age of a divorced man was 36.2 years of age, according to data obtained from the U.S. Department of Health and Human Services. A sociologist wants to investigate if the average age of a divorced man is now different. She randomly selects 32 divorced men and finds that the mean age is 32.5 years with a sample standard deviation s = 9.6. At a 95% level of confidence, we wish to investigate if the average age of a divorced man is now different than it was in 1989.
24. State the Null and Alternate Hypothesis for this study.
A) H0: µ = 33.9 H1: µ 33.9
B) H0: µ = 36.2 H1: µ 36.2
C) H0: µ >= 33.9 H1: µ <33.9
D) H0: µ >= 36.2 H1: µ < 36.2
On solving the provided question, P = 0.037 reject H o,P-value < 0.05 ( level of significance )
What is a null hypothesis?If there is no statistical significance between two variables, the null hypothesis is that there isn't any. The researcher or experimenter generally aims to refute or undermine the theory. An alternate explanation is that the two variables have a statistically significant association.
based on P value -
P = 0.037 reject H o
P-value < 0.05 ( level of signifance )
we are 95% y confidence that the average age of divorced man is how different than it was in 1989.
we would have concluded that the average age is not different wher, it really was different.
To know more about null hypothesis visit:
https://brainly.com/question/28920252
#SPJ4
Raúl is pouring a concrete walkway in his backyard. He decides to put a turn of 30° from the horizontal in the walkway to go around a tree and flowerbed. Once the walkway is past the tree, Raúl wants to continue the walkway in the same direction as before. At what angle should he put the second turn so that the walkway will continue in the same direction as before it reached the flowerbed? Why?
Answer:
Step-by-step explanation: Raúl should put a turn of -30° in the walkway after the tree in order to continue in the same direction as before. This is because the negative angle will cancel out the positive angle and the walkway will continue in the same direction as before.
: Imagine you are drawing from a deck of 52 cards. Determine the number of ways you can achieve the following 5-card hands drawn from the deck without repeats. a) A Straight (5 cards of sequential rank). Hint: when considering the Ace, a straight could be Ace, 2, 3, 4, 5 or 10, Jack, Queen, King, Ace, but no other wrap around is allowed (e.g., Queen, King, Ace, 2, 3 is not allowed) b) A Flush (5 cards of the same suit) c) A Full House ( 3 cards of one rank and 2 from a single other rank) d) A Straight Flush (5 cards of sequential rank from the same suit)
As a result, the likelihood of a flush (five cards of the same suit) is.198% while the likelihood of getting three cards of the same rank and two cards from any other rank is 0.07612%.
Explain probability.Probability is the study of numerical representations of the likelihood that an event will happen or that a statement is true. An event's probability is a number between 0 and 1, where 0 generally denotes the event's impossibility and 1 typically denotes its certainty.
Here,
a) It is irrelevant what suit the opening card is. Any of the suits may be drawn first, provided that the subsequent four cards are dealt from the same deck and are of the same suit.
After the initial card is drawn, there are only 12 of a given suit left in the deck, which has 13 of each suit in total. The third card, which has 11, the fourth card, which has 10, and the fifth and final card, which has nine, are then the cards that are still available. Each time, one fewer card will be present in the deck as a whole.
(ℎ) = (2 ) ∙ (3 ) ∙ (4ℎ )\s∙ (5ℎ )
(ℎ) = [tex]\frac{12}{51} *\frac{11}{50} *\frac{10}{49} *\frac{9}{48}[/tex]
(ℎ) =11880 / 5997600
(ℎ)= 33/16660 = .00198 .198%
c) The likelihood of three identical cards and two cards from one other rank.
Considering that the cards have 13 ranks
So, P = [tex]\frac{13}{52} *\frac{12}{51} *\frac{11}{50} *\frac{10}{49}[/tex]
P = 267696/351655200
P=0 .0007612 or 0.07612 %
As a result, the likelihood of a flush (five cards of the same suit) is.198% while the likelihood of getting three cards of the same rank and two cards from any other rank is 0.07612%.
To know more about probability , visit
brainly.com/question/11234923
#SPJ4
Linear function k has a zero at 3 and a y-intercept of 9 . Which graph best represents k ?
In the graph B we can see that y intercept is 9 and zero is 3. So the graph b is the correct answer.
In the given question, linear function k has a zero at 3 and a y-intercept of 9.
We have to choose which graph best represents k.
As we know that;
The link between the two unknown variables is represented by a linear equation. The linear equation have one degree.
The most basic linear equation demonstrates the relationship between (x,y), which can be used to create a table, a graph on the coordinate plane, or to perform an assessment at a particular x or y value.
We represent linear function in the form of y=mx+c.
where m is the slope of the line, c is the y intercept of the line, x is independent variable and y is the dependent variable.
As we see the y intercept in the graph crosses the y axis.
Here y intercept is 9.
The zeros of the linear function is that where y value is zero.
As in the graph B we can see that y intercept is 9 and zero is 3. So the graph b is the correct answer.
To learn more about linear equation link is here
brainly.com/question/11897796
#SPJ4
Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 12], whereas waiting time in the evening is uniformly distributed on [0, 14] independent of morning waiting time.(a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) [Hint: Define rv'sX1, , X10and use a rule of expected value.]min(b) What is the variance of your total waiting time? (Round your answer to two decimal places.)min2(c) What are the expected value and variance of the difference between morning and evening waiting times on a given day? (Use morning time − evening time. Round the variance to two decimal places.)expected value minvariance min2(d) What are the expected value and variance of the difference between total morning waiting time and total evening waiting time for a particular week? (Use morning time − evening time. Assume a week includes only Monday through Friday.)expected value minvariance min2
The total expected waiting time including the morning and the evening time is 41/3
given that your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 10] independent of morning waiting time.
Sum of both waiting times = X+Y
Where X = morning wait time is U(0.8) and
Y = evening wait time is U(0,10)
Since X and Y are independent
Var(x+y) = Var(x)+Var(y)
Var(x) = (8^2 - 0^2)/12 = 16/3
Var(Y) = (10^2 - 0^2)/12 = 25/3
Var(x+y) = 16/3 + 25/3
= (16 + 25)/3
= 41/3
Therefore, the total expected value of waiting time including the morning and the evening time is 41/3.
To learn more about variance refer here
https://brainly.com/question/15858152
#SPJ4
PLEASE ANSWER ASAP
WILL MAKE BRAINLIEST
A 30 kg object takes one MINUTE to travel east 240 m. It began travelling at 240 m/s and came to a stop (0 m/s) at the end. What was its acceleration?
Responses
1
-4
8
-0.125
Answer:
-4 im pretty sure
Step-by-step explanation:
= -4
= -4
Charmaine's fish tank has 19 liters of water in it. She plans to add 6 liters per minute until the tank has at least 49 liters. What are the possible numbers of
minutes Charmaine could add water?
Use t for the number of minutes.
Write your answer as an inequality solved for t.
Answer:
t ≥ 5
Step-by-step explanation:
In the tank now: 19
Fill rate per minute: 6
Number of minutes: t
Amount filled in t minutes: 6t
Total amount in tank after t minutes: 6t + 19
Amount desired: at least 49 liters
At least 49 liters means "greater than or equal to 49"
Inequality:
6t + 19 ≥ 49
Subtract 19 from both sides.
6t ≥ 30
Divide both sides by 6.
t ≥ 5
What is the answer?
For the given circle the value of cotθ is -√30/√19.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The terminal side of an angle θ.
The standard position intersects the unit circle at (√30/7, -√19/7).
We need to find the value of cotθ.
Suppose that θ is an angle in standard position whose terminal side intersects the unit circle at (√30/7, -√19/7)
cotθ=x/y
=-√30/7/√19/7
=-√30/7×7/√19
=-√30/√19
Hence, the value of cotθ is -√30/√19 for the given circle.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ1
How many miles is it from Austin Texas to Seattle Washington by car?
Answer:
The total driving distance from Austin, TX to Seattle, WA is 2,128 miles
Step-by-step explanation:
Answer:
i believe it is a 2,116.4 mile drive.
Step-by-step explanation:
Question 2
What is the length of DE? (number only)
The length of the side DE, that is parallel to the side AC is 6.3 units
Here the line DE is parallel to the side AC of the triangle
In the given triangle
The length of the side BD = The length of the side AD
The length of the side BE = The length of the side EC
That mean the parallel line AC is equally dividing the two side of the triangle
Therefore, the length of the line DE will be be exactly half of the line AC
The length of the side AC = 12.6 units
The length of the side DE = The length of the side AC / 2
Substitute the values in the equation
= 12.6 / 2
= 6.3 unit
Therefore, the length of DE is 6.3 units
Learn more about triangle here
brainly.com/question/14463011
#SPJ4
A box starts with 2 balls: 1 black and 1 white. We draw one of these balls uniformly at random, then replace it with 2 of the same color (so that the box will have 3 balls now). The process repeats. For each i = 1,2,3,..., let X; = 1 if we draw a white ball on trial i. You may use any property of the X;'s to help you answer the following questions, you just have to name the property you are using and how you are using it. Compute the...(a) probability that X, = 1. How about probability that X, = 1 instead? (b) probability that X, = 1 given X, = 1. (c) probability that in the first 4 trials you get (at least) three white balls in a row. (d) expected value of the number of white balls in 4 trials. (e) variance of the number of white balls in 4 trials.
(a) The probability that X, = 1 will be =1/2
(b) The probability that X, = 1 given X,= 1 will be =2/3
(c) The probability that in the first 4 trials you get (at least) three white balls in a row will be=2/5
(d) The expected value of the number of white balls in 4 trials will be=2
(e) The variance of the number of white balls in 4 trials will be=2
A box starts with 2 balls; [ black and 1 white, x draw on these balls are supposed to be uniformly at random then we will replace it with 2 of the same colour. The Process repeats for Each i=1,2,3..........
Let x_1=1, if we draw a white ball on trial 1
The Property of the x_1 is
The Event where The drawn fall is white =A
Let the number of white balls in 4 trials is denoted by 'x'.
[tex]P(x=0) P\left(A^c A^c A^c A^c\right) . \\=1 / 2 \times 3 / 3 \times 3 / 4 \times 4 / 5=1 / 5 . \\P(x-1)=P\left(A^c A^c A^c A^c\right)+P\left(A^c A^c A^c A^c\right)+P\left(A^c A^c A^c A^c\right)+P\left(A^c A^c A^c A^c\right) \\=1 / 2 \times 1 / 3 \times 1 / 4 \times 3 / 5+1 / 4 \times 1 / 3 \times 2 / 3 \times 3 / 5+1 / 2 \times 2 / 3 \times 1 / 4 \times 3 / 5+1 / 2 \times 2 / 3^2 \times 3 / 4 \times 1 / 5 . \\=\frac{1}{20}+\frac{1}{20}+\frac{1}{20}+\frac{1}{20} . \\=4 \times \frac{1}{20}=1 / 5 . \\[/tex]
[tex]\therefore P(x=2)=1 / 2 \times 2 / 3 \times 1 / 4 \times 2 / 5 \times 4 / 2=6 \times 1 / 3=1 / 5 .[/tex]
[tex]$\begin{aligned} \therefore P(x=2) & =1 / 2 \times 2 / 3 \times 1 / 4 \times 2 / 5 \times 4 / 2=6 \times 1 / 3=1 / 5 . \\ P(x=3) & =1 / 2 \times 2 / 3 \times 3 / 4 \times 1 / 5 \times 4 / 3 . \\ & =1 / 20 \times 4=1 / 5 . \\ P(x=4) & =1 / 2 \times 2 / 3 \times 2 / 4 \times 4 / 5=P(\text { AAAA })=1 / 5 .\end{aligned}$[/tex]
(a)
[tex]P\left(X_2=1\right) & =P(A A)+P\left(A^C A\right) . \\& =1 / 2 \times 2 / 3 \times 1 / 2 \times 1 / 3 . \\& =2 / 6+1 / 6=3 / 6=1 / 2 . \\P\left(X_4=1\right)= & P(A A A)+P\left(A A A A^{\prime} A\right)+P\left(A^C A A\right)+P\left(A^{\prime} A^{\prime} A\right)+P \\& \left.\quad\left(A^{\prime} A A A\right)+P\left(A^{\prime} A^{\prime} A\right)+P\left(A^A A A\right)\right) \\[/tex]
[tex]= & 1 / 5+1 / 20+1 / 20+1 / 20+1 / 20+1 / 30+1 / 30+1 / 20 . \\= & 1 / 5+4 / 20+3 / 20 .=2 / 5+1 / 10 . \\= & \frac{4+1}{10}=5 / 10=1 / 2 .[/tex]
[tex]$\therefore$[/tex] Probability that x_2=1 is equal with probability that x_4 >1
(b) Probability that x_2=1 given x_4=1
[tex]$$\begin{aligned}& =P\left(x_2=1 / x_{4=1}\right)=\frac{P\left(x_2=1 \& x_4=1\right)}{P\left(x_4=1\right) .} \\& =\frac{P(A A A A)+P\left(A A A^{\prime} A\right)+P(A A A A)+P\left(A^C A A^C A\right)}{1 / 2} \\& =2 \times(1 / 5+1 / 20+1 / 20+1 / 30] \\& =2 \times[1 / 5+1 / 10 \times 1 / 30] \\& =2 \lambda\left[\frac{6+30+1}{30}\right] \\& =2 \times \frac{10}{30} .=2 / \mathrm{3} .\end{aligned}$$[/tex]
(c) Probability that in that the nuts is 3 which is P(x=3)+P(x=4) is [tex]=1 / 5+1 / 5=2 / 5[/tex]
(d) Expected volume of number of white ball is 4 trial is,
[tex]$$\begin{gathered}{[0 \times 1 / 5+1 \times 1 / 5+2 \times 1 / 5+3 \times 1 / 5+3 \times 1 / 5+4 \times 1 / 5]} \\=\frac{1+2+3+4}{5}=10 / 5=2 .\end{gathered}$$[/tex]
(e)
[tex]E\left(x^2\right) & =0^2 \times 1 / 5+1^2 \times 1 / 5+2^2 \times 1 / 5+3^2 \times 1 / 5 .+4^2+1 / 5 . \\& =\frac{1+4+9+16}{5 .} \\& =30 / 51=6 . \\\therefore var/x =E\left(x^2\right)-E[(x)]^2 . \\& =6-2^2 =6-4=2[/tex]
[tex]$\therefore$[/tex] The variance of the number of white balls in 4 trails =2
For more such questions on Probability:
https://brainly.com/question/25870256
#SPJ4
15. The formula for the area A of a triangle is A = bh, where b is the base
and h is the height. Solve the formula for h and justify each step. Then
find the height of a standard yield sign when the area is 558 square inches
and each side is 36 inches.
i need to know how to do this
Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information was obtained. y = 12+ 1.8x n=17 SSR = 225 SSE = 75 S_01 = 0.2683 Refer to Exhibit 12-3. The t statistic for testing the significance of the slope is a. 1.96 b. 0.555 c. 6.709 d. 1.80
The t statistic used to determine whether the slope is significant is 6.709 when applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).
Given that,
The following information was discovered after applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).
y=12+1.8x
n=17
SSR=225
SSE=75
S₀₁=0.2683
We have to find what is the t statistic used to determine whether the slope is significant.
We know that,
Given by, the t test is used to determine whether the slope is significant.
t= b1/s.e
Where b1= slope of the given regression line
s.e= standard error of the line ( Sb1)= 0.2683
The regression line is given by
Y=12+1.8X
X is the independent variable here, and Y is the dependent variable.
Intercept = 12
Slope = 1.8
The t test is used to determine whether the slope is significant.
t= b1/s.e=1.8/0.2683= 6.7089=6.709
Therefore, The t statistic used to determine whether the slope is significant is 6.709 when applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).
To learn more about statistic visit: https://brainly.com/question/23091366
#SPJ4
Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5%, and it is customary to leave a tip of 15% for the server. The tip amount is calculated on the price of the meal before the tax is applied. (Sales tax is not calculated on tips.)
If Allam ordered a $15 meal, how much money will he have to pay with tax and tip?
Answer:
$18
Step-by-step explanation:
15 : 100 = x : 15
x = 15 · 15 / 100
x = 225 / 100
x = $ 2.25 (tips)
5 : 100 = x : 15
x = 15 · 5 / 100
x = 75 / 100
x = $ 0.75 (tax)
15 + 0.75 + 2.25 = $18
Question 6 of 21
What are the vertex and x-intercepts of the graph of the function given below?
y=x²-2x-24
A. Vertex: (-1, -21); intercepts: x = 6,4
B. Vertex: (0, 0); intercepts: x=-4, 6
C. Vertex: (7, 5); intercepts: x = 6,8
OD. Vertex: (1, -25); intercepts: x= 6,-4
Answer:
OD=Vertex: (1, -25); intercepts: x= 6,-4
Step-by-step explanation:
y=x²-2x-24
where a = 1,b = –2 and c = –24
to find the vertex we will use this formula
Step 1
(h,k) = (-b/2a, -D/4a), where D = b²–4ac.
(h,k) = (–(–2)/2×1) , –((–2)² – 4 × 1 × –24/4×1)
(h,k)= (2/2) , –(4 + 96)
(h,k) = (1 , –100/4)
(h,k) = (1,–25)
STEP 2
To find x intercept make y = 0
y=x²-2x-24
x² – 2x – 24 = 0
x² –6x + 4x – 24 = 0
x(x –6) +4(x –6) = 0
(x+4)(x–6)=0
x+4 = 0; x = –4
x–6 = 0; x = 6
x = (–4,6)
pls mark as brainliest
The polynomial function p(x)=x³-3 x²+x+205 has x=-5 as a root.
What are the remaining roots of p(x) ? Separate multiple answers with a comma.
Enter the factored form of p(x).
The remaining roots of p(x) is x = -5 , 4 + 5i , 4 - 5i and the factored form of p(x) = ( x + 5 ) ( x - ( 4 + 5i ) ( x - ( 4 - 5i )
Given :
The polynomial function p(x)=x³-3 x²+x+205 has x=-5 as a root.
using synthetic division :
x = -5
5 1 -3 1 205
0 5 10 55
1 2 11 260
on solving using the quadratic formula or calculator the roots are :
x = -5 , 4 + 5i , 4 - 5i
so quadratic form of p ( x ) = ( x + 5 ) ( x - ( 4 + 5i ) ( x - ( 4 - 5i )
learn more about the function here:
https://brainly.com/question/9046022
#SPJ4
Timmy has a collection of 95 coins consisting of dimes and nickels in his bank, The total value of his bank is $6.50. How many dimes are in his collection? How many nickels are in his collection?
Timmy has a collection of 95 coins consisting of dimes and nickels in his bank, The total value of his bank is $6.50. We can infer that he has 60 nickels and 35 dimes.
Define equation.In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities.
Given,
Timmy has a collection of 95 coins consisting of dimes and nickels in his bank, The total value of his bank is $6.50.
Set d and n to the appropriate numbers.
Timmy has 95 coins in total, all of which are dimes and nickels, as far as we know.
Equation,
So d + n = 95
His bank is worth a total of $6.50.
A nickel is worth $0.05, while a dime is worth $0.10.
So
0.10d + 0.05n = $6.50
Take note that we have just produced an equation system that we can solve.
The two equations exist.
D + n = 95
and
0.10d + 0.05n = 6.50.
The replacement approach is probably going to be the simplest way to solve this problem out of all the options available to us.
First, we'll want to change the second equation's terms so that one of the variables is defined.
d+ n = 95
Take d off on both sides.
n = 95 - d
Now, let's define "n."
After defining one of the variables, we can now enter (or replace) its value in the other equation. After replacing it, we can find a solution for the other variable.
0.10d + 0.05n = 6.50
n = 95 - d
0.10d + 0.05(95 - d) = 6.50
We now determine d.
0.10d + 0.05(95 - d) = 6.50
distribution of the 0.05 in step 1
0.05 × 95 = 4.75
and
0.05 × -d = -0.05d
0.10d + 4.75 - 0.05d = 6.50
Step 2: Add like terms together (0.10 - 0.05) to get 0.05
0.05d + 4.75 = 6.50
step 3: Take 4.75 off of each side.
0.05d = 1.75
step 4: Subtract 0.05 from both sides.
0.05d / 0.05 = d and 1.75 / 0.05 = 35
d = 35
Now that we know the value of one variable, we can use it to solve for the second variable by plugging it into one of the equations ( note that the equation that we use does not matter, we will acquire the same answer )
d + n = 95
d = 35
35 + n = 95
Take 35 off both sides.
n = 60
We can infer that he has 60 nickels and 35 dimes.
To learn more about equation, visit:
https://brainly.com/question/29657983
#SPJ1
displayed the factor tree on the board. complete the factor tree to find the number that has a prime factorization of 2(4) x 2
Answer: 2
Step-by-step explanation:
3. Net income = gross profits - (cost to bring goods into store + ___)
A. long-term liabilities
B. total assets
C. operating expenses
D. cost of merchandise sold
Answer: D & C
Step-by-step explanation:
The net Income of the business is represented as
Net profits or income = Net sales revenue (gross income) – Cost of goods and services sold – Administration, operating, marketing, and advertising costs, taxes, interests, and other expenses.
Here C is an option because we need to take operating expenses into consideration but if you consider cost of goods brought into store as operating then option changes to D.
D represents the sales which helps us determine the net income of the business.
Write the equation of the line, in all three forms, that is parallel to the line that passes through the points (-6, 1) and (10,0) and passes through point (-7,-2).
The linear equation parallel to the line that passes through (-6, 1) and (10,0) and that passes through (-7, -2) is:
y = (-1/16)*x - 39/16
How to find the linear equation?
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept
If a linear equation crosses through two known points (x₁, y₁) and (x₂, y₂), then the slope of that line is given by:
a = (y₂ - y₁)/(x₂ - x₁)
And two lines are parallel if and only the two lines have the same slope and different y-intercept.
Here we want to find a line that passes through (-6, 1) and (10, 0), the slope of that line is:
a = (0 - 1)/(10 + 6) = -1/16
And we want to find a line with this slope that passes through the point (-7, -2), so we need to have:
-2 = (-1/16)*-7 + b
-2 = 7/16 + b
-2 - 7/16 = b
-32/16 - 7/16 = b
-39/16 = b
So the linear equation is:
y = (-1/16)*x - 39/16
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
7x-8y=10 and x-8y=-26 using elimination
x= 6;
y= 4.
Step-by-step explanation:1. Write the equations.[tex](1)7x-8y=10\\\\ (2)x-8y=-26\\[/tex]
2. Subtract equation 2 from equation 1.[tex](1)7x-8y=10\\-\\ (2)x-8y=-26\\--------\\\\6x+0y=36\\ \\6x=36[/tex]
3. Solve for x.[tex]\frac{6x}{6} =\frac{36}{6} \\ \\x=6[/tex]
4. Use the calculated value of "x" in any of the equation to the value of "y".For this solution, we are going to use equation 2 to get the value of "y".
[tex](6)-8y=-26\\\\-8y=-26-6\\ \\-8y=-32\\ \\\frac{-8y}{-8} =\frac{-32}{-8} \\ \\y=4[/tex]
5. Verify.If the answers are correct, both equations should return the same value in both sides of the equal (=) sign.
[tex]7(6)-8(4)=10\\ \\42-32=10\\ \\10=10[/tex]
That's correct.
[tex](6)-8(4)=-26\\ \\6-32=-26\\ \\-26=-26[/tex]
That's correct.
Hence, the answers are correct.
A rectangular living room has a perimeter of 40 meters. It’s area is 100 square meters.what are the dimensions of the living room
Answer:
Step-by-step explanation:
Firstly, I presume that the question talks about a rectangle and there is consistency in units i.e.Area is in units^2 and perimeter is in units (else there is no possible solution).
Now, perimeter = 2(L+B) = 40
OR (L+B) = 20.
Also, area = LxB = 100.
Now, LxB = 100 will give you the following values for LxB (Note in a rectangle, L>B or L=B):- (100×1),(50×20),(25x4),(20×5),(10×10).
Only one value gives L+B = 20 viz.L=10 & B=10.
Hope this helps! :)
(This was by another user you can search it up and see.)
g a florida health insurance company wants to predict annual claims for individual clients. the company pulls a random sample of 50 customers
The Florida health insurance company can use a variety of predictive methods to predict the annual claims for the sample of 50 customers. These methods include machine learning algorithms such as linear regression and decision trees, as well as statistical methods such as regression analysis and logistic regression.
The company can also use qualitative methods such as interviews and surveys to gain insight into customer needs and preferences. By combining quantitative and qualitative methods, the company can create a more accurate prediction of the annual claims for its sample of 50 customers.The company can calculate its predictions by first gathering data on each of the 50 customers, such as age, gender, health history, lifestyle, and other factors. It can then use this data to create a predictive model that can be used to estimate the annual claims of each customer. These methods include machine learning algorithms such as linear regression and decision trees, as well as statistical methods such as regression analysis and logistic regression. The model can be tested and refined as necessary to ensure it is accurate and reliable. Finally, the company can use the model to make its predictions for the 50 customers.
Learn more about regression here
https://brainly.com/question/28178214
#SPJ4
Question
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
We still need to find a way to add these fractions. Now you try.
Change the denominators to rename these fractions and find their sum.
1/2+1/3=?
After changing the denominators to rename these fractions the sum is 5/6 .
Given :
If necessary, use / for the fraction bar(s).
We still need to find a way to add these fractions. Now you try.
Change the denominators to rename these fractions and find their sum.
To find sum we need to find LCM of denominators .
Least common multiple :
Least Common Multiple ( LCM ) is a method to find the smallest common multiple between any two or more numbers.
so = 1 / 2 + 1 / 3
LCM of 2 and 3 is 6
= 1 * 3 + 1 * 2 / 6
= 3 + 1 * 2 / 6
= 3 + 2 / 6
= 5 / 6
Learn more about the fraction here:
https://brainly.com/question/10354322
#SPJ4
f(x)=x²-8x³ +26x² - 88x - 111; x = −11
Answer:
14772
Step-by-step explanation:
A consumer group claims that the mean annual consumption of high fructose corn syrup by a person in the United States is 48.8 pounds. A random sample of 120 people in the United States has a mean annual high fructose com syrup consumption of 49.5 pounds. Assume the population standard deviation is 3.6 pounds. At alpha = 0.05, can you reject the claim? Identify the null and alternative hypotheses. Identify which hypothesis is the claim. Use the sample statistics given to find the standardized test statistics: z and P. Make a decision to reject or fail to reject the null hypothesis. Interpret your decision in the context of the original claim.
The null hypothesis in the given question is 'the mean annual consumption of high fructose corn syrup by a person in the United States is 48.8 pounds' and the alternative hypothesis in the given question is 'the population standard deviation is 3.6 pounds.'
Population mean = 48.8 pounds
Sample size = 120
Sample mean = 49.5 pounds
Population standard deviation = 3.6
α = 0.05
The standardized statistic z is:
z = (Sample mean - Population mean) x (√n / standard deviation)
z = (49.5 - 48.8) x (√120/3.6)
z = 2.13
The standardized statistic P is:
P = 2 - 2 x Φ(z)
P = 2 - 2 x 0.983
P = 0.034
Since, the result we get is statistically significant. We reject the null hypothesis.
To know more about null hypothesis here:
https://brainly.com/question/6421619
#SPJ4