Answer:
" (1) Reflect ABC across the x-axis and call this new triangle A'B'C'. (2) Translate A'B'C' 2 units right and 6 units up so that its image is A''B''C''. "
Step-by-step explanation:
Andrew drives through 5 intersections with stop lights on his way to work. He records that he is stopped by a red light in 2 of the 5 intersections. If he uses this as his general probability of getting stopped at a red light on his way to or from work, how many times can he expect to be stopped at a red light over the next 40 times he drives through an intersection on his route?
Andrew should expect to be stopped ____
times.
Answer:
He should expect to be stopped a total of 16 times
Step-by-step explanation:
What the question is saying is that out of every 5 intersections, he would be stopped at 2.
Now, for forty times in which he passes through an intersection , we want to know the number of times in which he would be stopped
In this case we only need to multiply the probability by the number of times in which he passes an intersection and that would be 2/5 * 40 = 16 times
Answer:
16 times
Step-by-step explanation:
Tyler thinks he knows one of the linear factors of . After finding that , he suspects that is a factor of P(x). Here is the diagram he made to check if he’s right, but he set it up incorrectly. What went wrong?
Linear factors are the factors of a polynomial
What went wrong is that: Tyler's linear factors are incorrect
The polynomial function is given as:
Rewrite as:
Further rewrite as:
Factorize the above polynomial
Factor out x - 1 from the polynomial
This means that:
The linear factors are x - 1 and x^2 - 8x + 15
From the given diagram, Tyler's linear factors are x - 1 and x^2 - 8x - 15
Hence, Tyler's linear factors are incorrect
how to say this inequality and how to solve it
Answer:
28 minus k is greater than or equal to 7 times the product of k minus 4
7 ≥k
Step-by-step explanation:
28-k ≥7 ( k-4)
Distribute
28-k ≥7k-28
Add k to each side
28-k +k ≥7k+k-28
28 ≥8k-28
Add 28 to each side
28+28 ≥8k-28+28
56 ≥8k
Divide by 8
56/8 ≥8k/8
7 ≥k
Construct a truth table for each of these compound propositions
a) p → ⇁p
b) p ↔ ⇁p
c) p ⊕ (p V q) d) (p ∧ q) → (p V q) e) (p → ⇁p) ↔ (p ↔ q) f) (p ↔ q) ⊕ (p ↔ ⇁q)
After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.
A truth table is a overview that projects the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Sarin Employment helps midsized to large companies fill management and high-level technical positions. The file Sarin contains data for a sample of job placements that the company has facilitated. The data shows the number of days it took to fill the job and the fee billed to the client.a) Construct a scatter plot (Use Excel) showing fees as the dependent variable. What is the apparent relationship between the two variables?b) Calculate (Use the Calculator) the correlation coefficient and test to determine whether there is a statistically significant linear relationship between the two variables. Use an alpha = 0.05.Days Fees41 471756 266642 459954 381057 428833 470114 369040 168433 507544 398428 530846 301841 245869 334424 278238 254651 225454 164250 343964 311968 208953 303163 94363 350537 690321 341257 377142 345055 236051 292931 328468 256347 234852 255546 422249 180434 160366 220985 467615 449457 189436 235120 538727 286557 256934 308130 391745 4172180 3959
The scatter plot of fees versus days taken to fill a job for Sarin Employment's sample data suggests that there may be a positive linear relationship between the two variables.
a. To construct a scatter plot in Excel, we would plot the fees on the y-axis (dependent variable) and the days taken to fill a job on the x-axis. Each data point would be represented as a dot on the graph.
Next, to calculate the correlation coefficient and test for statistical significance, we can use a statistical calculator or software. In this case, since the alpha level is given as 0.05, we will use a significance level of 0.05 for our hypothesis test.
b. The correlation coefficient, also known as the Pearson correlation coefficient, measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and 1 indicates a perfect positive linear relationship.
To test for statistical significance, we will conduct a hypothesis test with the following hypotheses:
Null Hypothesis (H0): There is no statistically significant linear relationship between fees and days taken to fill a job.
Alternative Hypothesis (H1): There is a statistically significant linear relationship between fees and days taken to fill a job.
We will use a two-tailed test since we are interested in determining whether there is any linear relationship, regardless of the direction.
If the calculated p-value is less than our chosen significance level of 0.05, we will reject the null hypothesis and conclude that there is a statistically significant linear relationship between fees and days taken to fill a job.
Therefore, by analyzing the scatter plot and conducting a hypothesis test, we can determine the apparent relationship between fees and days taken to fill a job and assess whether it is statistically significant.
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When a plane taking aerial photographs takes two pictures of the same place just seconds apart, it creates a set of images called a
Answer:
Stereo Pair
Step-by-step explanation:
Basically, a stereo-pair image contains two views of a scene side by side. One of the views is intended for the left eye and the other for the right eye. These images are sometimes viewed with special equipment to direct each eye on to its intended target, but they are also often viewed without equipment.
Nathan usually drinks 38 ounces of water per day. He read that he should drink 66 ounces of water per day. If he starts drinking 66 ounces, what is the percent increase? Round to the nearest percent.
Answer:
73.6%
Explanation: 38 is the old value and 66 is the new value. In this case we have a positive change of 73.68... percent because the new value is greater than the old value.
A middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $80, and the club is charging $10 per student that attends.
Which graph describes the relationship between the amount of money raised and the number of students who attend the dance?
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 80 through the point 2 comma negative 100
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 80 through the point 2 comma negative 60
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 80 through the point 2 comma 60
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 80 through the point 2 comma 100
The graph shows the relationship between the number of students who attend a homecoming dance and the amount of money raised. The graph is a straight line with a slope of $10, passing through the point (0, $80) and another point on the line. The fixed cost for decorations is $80, which is a constant cost that does not depend on the number of students attending the dance. For each additional student that attends the dance, the amount of money raised will increase by $10.
Answer:
y = 10x - 80
Therefore your answer is B, hope this helps! :)
What are the roots of x2 5x − 6?
The roots of polynomial x2 5x − 6 are x = 3 and x = -2.
Factor the polynomial
x2 5x − 6 = (x - 3)(x + 2)
(x - 3) = 0
x - 3 = 0
x = 3
(x + 2) = 0
x + 2 = 0
x = -2
To find the roots of the equation x2 5x - 6, we must first factor the polynomial into two terms. The equation can be factored as (x - 3)(x + 2). We then have to set each factor equal to zero. For the first factor, (x - 3) = 0. With this equation solved, we obtain x = 3. (x + 2) Equals 0 for the second factor. The answer to this problem is x = -2. As a result, x = 3 and x = -2 are the roots of x2 5x - 6.
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tamika practiced oboe for 1/4 hour in the morning and 5/6 hour in the afternoon. how long did she practice in all? write your anwser as a mixed number.
Answer:
1/2
Step-by-step explanation:
- find the least common denominatir for the two. (12)
-multiply 4 and 3
-multiply 6 and 2
- Add 1 and 5
-Keep the denominator.
-simplify if needed
Answer:
Step-by-step explanation:
answer 1 1/12 hours
true or false? the opposite and adjacent sides stay the same no matter which angle you are looking at.
Answer:
true
Step-by-step explanation:
PLZ ANSWER THESE QUESTIONS AND I WILL GIVE A BRAINLY THINGY
Not gonna explain answers, look up formulas if you care.
1) 108yd
2) 7222ft
3) 840in
4) 12960ft
5) 2299in
6) 803.84 yd
7) 6,923.7 cubic yards
8) 78 cubic feet
the water level in a swimming pool increase from 3.2 feet to 4 feet what is the percent of increase in the water level
A plumber $130 to start a job plus $56 per hour. How many hours did she work if the total bill is $214? This problem can be modeled with this equation: 130+56x=214 which operation should be preformed to isolate the variable term?
Answer:
Combine like terms by subtracting
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation: half an hour is 28 dollars. if he worked for 1 hour, it would be 186 +28 which was the left over amount of money to add up to 214, simply put, 1 hour and 30 minutes or 1.5 hours
what is the probability that exactly one of the four scoops is vanilla flavored?
Answer:
probably about 10.24%
Step-by-step explanation:
Maria used some fabric to make 3 skirts, She used 3/10 to make the first one, 5/10 to make the second one. How much fabric did she used to make the third one?*
Answer:
2/10
Step-by-step explanation:
1 whole is equal to 10/10
5/10+3/10=8/10
10/10-8/10=2/10
hope this helps! :)
Answer:
the full lenght of fabric is 10/10 so if she used 3/10 and 5/10 that's in total 8/10.. she used 2/10 for the third skirt
What is the measure of
с 78
ООО
88
96
Zack plans to borrow $7,300 to buy a car.
Which of the following loans will cost him
the least amount of interest?
Select one:
O
A4year loan with a 3.8% simple annual
interest rate
O
A 6-year loan with a 3.196 simple annual
interest rate
O
A 3-year loan with a 4.1% simple annual
interest rate
public opinion reported that 6% of arfericans are afraid of being alone in a house at night. if a random sample of 40 americans is selected, find the probability. there are exactly 5 people in the sample who are afraid of being alone at night.
Answer:
0.059 (to 3 dp)
Step-by-step explanation:
\(\binom{40}{5}(0.06)^{5}(0.94)^{35} \approx 0.059\)
Which of the following format elements will display the value of Friday in a specified date as a 6? a. D c. DDD. b. DD d. DAY.
The format element that will display the value of Friday in a specified date as a 6 is option B, DD.
The format element that will display the value of Friday in a specified date as a 6 is option B, DD. DD displays the day of the month as a two-digit number, for example, 01 for the first day of the month and 31 for the last day of the month. It does not display the day of the week. Option A, D, displays the day of the week as a single-digit number, for example, 1 for Monday and 7 for Sunday. Option C, DDD, displays the abbreviated name of the day of the week, for example, Fri. Option D, DAY, displays the full name of the day of the week, for example, Friday. Therefore, option B, DD, is the correct answer to the question.
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What is the distance around a rectangular
room with two walls measuring 12 feet and
two walls measuring 23 feet?
O
O
O
35 feet
70 feet
24 feet
46 feet
Answer:
35 Feet
hope you like it : )
Select the positive or negative integer for the situation.
Mrs. Dunn deposited $1500 at the bank.
integer: _____
1500
- 1500
Answer:
1500
Step-by-step explanation:
deposit means put in and withdraw means take
Answer:
-1500 I would assume
Step-by-step explanation:
a deposited is a person putting money into the bank. so I am saying -1500 because mrs. Dunn is putting her money away. so she would have $0 in her pocket
is 35/7 an integer or a non integer please help
Step-by-step explanation:
35/7 is an IMPROPER FRACTION .... it REDUCES to an INTEGER = 5
The fraction 35/7 equals to 5, which is an integer because it is a whole number without a fractional or decimal component.
Explanation:The fraction 35/7 equals to 5. The number 5 is a whole number that can be written without a fractional or decimal component, hence it is classified as an integer.
In general, an integer includes all whole numbers and their negative counterpart excluding fractions or decimals. Examples of integers are ...-3, -2, -1, 0, 1, 2, 3... and so on.
So the answer to your question is, 35/7 is an integer.
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Which of the following correctly names an angle of the triangle below? A. AB B. AABC C. C D. B
Answer:
Based on the information provided, none of the given options correctly names an angle of the triangle. The options provided do not correspond to the standard way of naming angles in a triangle.
In triangle ABC, the angles are typically named using capital letters at the vertices of the triangle. For example:
Angle A refers to the angle formed at vertex A.
Angle B refers to the angle formed at vertex B.
Angle C refers to the angle formed at vertex C.
Therefore, none of the given options (A, AABC, C, B) correctly name an angle of the triangle.
Step-by-step explanation:
Based on the information provided, none of the given options correctly names an angle of the triangle. The options provided do not correspond to the standard way of naming angles in a triangle.
In triangle ABC, the angles are typically named using capital letters at the vertices of the triangle. For example:
Angle A refers to the angle formed at vertex A.
Angle B refers to the angle formed at vertex B.
Angle C refers to the angle formed at vertex C.
Therefore, none of the given options (A, AABC, C, B) correctly name an angle of the triangle.
Millie has 3 sisters. Each sister reads 2 pages every morning and 4 pages every evening.
Which expression can be used to represent the total number of pages read by Millie's sisters after 5 days?
Millie has 3 sisters. Each sister reads 2 pages every morning and 4 pages every evening.
Which expression can be used to represent the total number of pages read by Millie's sisters after 5 days?
3 × 2 + 4 × 5
3 × (2 + 4) × 5
(3 × 2 + 4) × 5
3 × (2 + 4 × 5)
Answer:
3× (2+4) × 5
Step-by-step explanation:
.…ye bccc She have 3 sis and they read 2 pages every morning and 4 in the afternoon × 5
Whoever answers right are marked as Brainly is
Answer:
The answer is y=-x+4 and y=-3x+2
Step-by-step explanation:
Answer:
y = x + 4 and y = 3x + 2
Step-by-step explanation:
Both of the lines slopes are positive, and for the equation of y = 3x + 2, the slope is 3 rather than \(\frac{1}{3}\) because it goes up 3 then to the right 1 rather than up 1 and to the right 3.
(1 point) a poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate. (a) find a 95% confidence interval for p.
Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).
In the given question,
A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.
We have to find a 95% confidence interval for p.
From the question, x=302, n=525
So estimation point,
P=x/n
P=302/525
P=0.575
Now the z value of 95% confidence interval is 1.960 using the standard z table.
Margin of Error (E)=z×√{P(1−P)}/n
Now putting the value
E=1.960×√{0.575(1−0.575)}/525
E=1.960×√(0.575×0.425)/525
E=1.960×√0.244/525
E=1.960×√0.000465
E=1.960×0.0216
E=0.0423
At 95% confidence interval for p is
P−E ≤ p ≤ P+E
Now putting the value
0.575−0.0423≤ p ≤0.575+0.0423
0.5327≤ p ≤0.6173
Hence, a 95% confidence interval for p is (0.5327,0.6173).
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Which expression is equivalent to (3^5 x^2)^4 use step by step
Answer:
look at the screenshot
Step-by-step explanation:
store A has 23 shelves; on each shelf there are 10 boxes. Store A has 9 more shelves than store B (each shelf with 10 boxes). In all, how many shelves, with 10 boxes each, does store b have?
store B has 23 shelves, with 10 boxes on each shelf.
Store A has 23 shelves, with 10 boxes on each shelf. To find the total number of boxes in store A, we multiply the number of shelves by the number of boxes per shelf:
Total boxes in store A = 23 shelves * 10 boxes per shelf = 230 boxes
We are given that store A has 9 more shelves than store B, with each shelf having 10 boxes. Let's represent the number of shelves in store B as 'x'. Therefore, the total number of boxes in store B would be:
Total boxes in store B = x shelves * 10 boxes per shelf = 10x boxes
We know that the total number of boxes in store A is 230, so we can set up an equation:
230 = 10x
To solve for 'x', we divide both sides of the equation by 10:
230 / 10 = x
23 = x
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How many intersections are there of the graphs of the equations below? one-halfx 5y = 6 3x 30y = 36
The number of intersections of the graphs of the given equations is 0.
To determine the number of intersections of the graphs of the equations:
1. One-halfx + 5y = 6
2. 3x - 30y = 36
We can convert the equations to slope-intercept form (y = mx + b) by isolating y:
1. \(\frac12\\\)x + 5y = 6
5y = -\(\frac12\\\)x + 6
y = (-1/10)x + 6/5
2. 3x - 30y = 36
-30y = -3x + 36
y = (1/10)x - 36/30
y = (1/10)x - 6/5
Now, we can observe that both equations have the same slope, which is 1/10, but they have different y-intercepts (6/5 and -6/5).
Since the slopes are the same but the y-intercepts are different, the two lines are parallel.
Parallel lines do not intersect,
so the graphs of these equations have no intersection points.
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Answer:
A or none
Step-by-step explanation:
edge