Answer: 1
Step-by-step explanation: Knowing the division and multiplication rules, any number times one equals itself and any number divided by one equals itself. Make sure not to put 0 as an answer because any number divided by 0 is undefined.
The Jacob family plans to attend a concert. An
adult ticket (a) is $7.50 each and a child's ticket (c)
is $5.00 each. Mr. Jacob purchased a total of 11
tickets for a total of $65. How many of each kind of
ticket was purchased?
Answer:Mr. Jacob purchased 7 adult tickets at $7.50 each, and 4 child tickets at $5.00 each, for a total of 11 tickets at a cost of $65.
Step-by-step explanation:
Lance is drawing a triangle. He draws one
side that is 8 inches long and another side
Se that is 5 inches long. Which one of the yeu
following could be the third side?
The possible lengths for the third side could be: any length between 1 inch and 12 inches (but not equal to either 8 inches or 5 inches) any length greater than 12 inches
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
Given ,
Lance is drawing a triangle. He draws one side that is 8 inches long and another side Se that is 5 inches long.
The third side of the triangle can be any length that satisfies the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So, in Lance's triangle, if the first side is 8 inches long and the second side is 5 inches long, then the third side must be less than 8 + 5 = 13 inches.
So, the possible options for the third side are:
6 inches
7 inches
9 inches
10 inches
11 inches
12 inches
13 inches or longer.
Therefore, The possible lengths for the third side could be: any length between 1 inch and 12 inches (but not equal to either 8 inches or 5 inches) any length greater than 12 inches
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Administrators at International University are curious how students' GAs after their first year compare to their high school GPs. They plan on taking an SRS of 80 of the 900 freshmen tor look up their high school GAs. They plan to look at the difference between the mean high school and the mean university GPA for students in the sample (THS - "Uni) at the end of their first vear.
Consider the formula:
02-2, =
- 으
N1
12
Why is it not appropriate to use this formula for the standard deviation of THS - "Uni?
If administrators at International University are curious how students' GAs after their first year compare to their high school GPs. The correct answer is: C. We cannot assume independence between the high school GPAs in the sample.
Why is it not appropriate to use this formula for the standard deviation?The GPAs of the students in the sample at the end of their first year at the university are likely to be correlated with their high school GPAs, as students with higher high school GPAs are likely to perform better in university as well.
Thus, the high school GPAs of the students in the sample are not independent of each other, and using the formula for the standard deviation of the sample would not be appropriate in this situation.
Therefore the correct option is C.
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The correct question is:
Administrators at International University are curious how students' GPAs after their fist year compare to their high school GPAs. They plan on taking an SRS of 80 of the 900 freshmen to look up their high school GPAs. They plan to look at the difference between the mean high school and the mean university GPA for students in the sample at the end of their first year. Why is it not appropriate to use the formula for the standard deviation of
The samples are not independent of each other.
We cannot assume independence between the university GPAs in the sample.
We cannot assume independence between the high school GPAs in the sample.
The samples are independent of each other.
Answer: A
Step-by-step explanation:
The sample is sampling the high school GPA and college GPA of the same students meaning the samples are not independent.
Please anyone help me
The expression that represents all the possible widths of the rectangle is given as follows:
0 < x < 5.
How to obtain the area of the rectangle?The area of a rectangle of length l and width w is given by the multiplication of these dimensions, as follows:
A = lw.
For this problem, the length is 5 meters more than five times the width, hence:
l = 5 + 5w.
Hence the area is given as follows:
A = w(5 + 5w)
A = 5w² + 5w.
The area is less than 100m², hence the inequality is given as follows:
5w² + 5w < 100
5w² + 5w - 100 < 0.
w² + w - 20 < 0.
(w + 5)(w - 4) < 0.
Hence the solutions are:
w + 5 < 0 -> w < 5.w - 4 < 0 -> w > -4.The width cannot be negative, hence the interval is:
0 < x < 5.
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2.1 Simplify a) 250 x (200+320)
Step-by-step explanation:
first open the bracket
200+320=520
then multiple the answer with 250
thus: 250×520=130,000
130,000
Step-by-step explanation:
first calculate the bracket 200 + 320 =520
than multiply it by 250. 250 x 520 = 130,000
Kofi says the circumference of a circle equals pi times the diameter. Skyla says that the circumference of a circle equals pi times the radius. Who do you agree with? Explain why? the picture is the real problem
I agree with Kofi that the circumference of a circle equals pi times the diameter. This is because the formula for the circumference of a circle is given by:
C = 2πr
Where C is the circumference, π is pi, and r is the radius of the circle. To find the diameter, we can double the radius, so we can write:
C = 2π(r) = π(2r) = πd
Where d is the diameter of the circle.
So, the formula for the circumference of a circle is indeed pi times the diameter, not just pi times the radius.
Alicia's doctor allowed her to eat junk food every fifth day. If Alicia had junk food on Monday and Saturday, what are the next two days that she will be allowed to have junk food?
The next two days when Alicia would be allowed to eat junk foods are Thursday and Tuesday.
When would Alicia eat junk food?The first day after Saturday when Alicia would have junk food can be determined by counting the fifth day after Saturday.
Sunday - first day
Monday - second day
Tuesday - third day
Wednesday - fourth day
Thursday - fifth day
The next day after Thursday when Alicia would have junk food is the fifth day after Thursday.
Friday - first day
Saturday - second day
Sunday - third day
Monday - fourth day
Tuesday - fifth day
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A gauge on Sam's car indicates that he has 18. Mia likes to practice her multiplication facts. 178.8 miles left Until his gds tank is empty. ff she con correctly answer one problem If he drives 6Q.25 miles to his visit his mother, every 0.048 minutes, how many problems then 83.9 miles to visit his friend, how many can she correctly answer in 3 minutes? miles does he have left to empty?
its 2 questions figer them both out
i need this fast Question 7(Multiple Choice Worth 1 points) (05.02 MC) At a local play, student tickets cost $5 each and adult tickets cost $10 each. If ticket sales were $3,000 for 500 tickets, how many students attended the play? 100 200 300 400
The number of students attended the play are 400 in number.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
At a local play, student tickets cost $5 each and adult tickets cost $10 each. If ticket sales were $3,000
5x+10y=3000
The total number of tickets are 500
x+y=500
y=500-x
Now plug this in above equation
5x+10(500-x)=3000
5x+5000-10x=3000
5000-5x=3000
Add 5x on both sides
5000-3000=5x
2000=5x
Divide both sides by 5
400=x
Hence, the number of students attended the play are 400 in number.
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A. A fish is 12 m below the surface of the ocean. What is its elevation?
B. A seabird is 28 m above the surface of the ocean. What is its elevation?
C. If the bird is directly above the fish, how far apart are they?
Answer:
1.) -12
2.) 28
3.) 40
Step-by-step explanation:
The elevation of an object is the height or depth of the object relative to the sea level. If the object is above sea level, its elevation will be positive. However, if the object is below sea level, its elevation will be negative. Therefore, we can conclude that the elevation of the fish is -12 m because it is below sea level.
What is the circumference of a circle with a diameter of 4 feet? Use 3.14 for TT.
d=4ft
Question 7(Multiple Choice Worth 2 points) (09.06 LC) How many hectometers are in 580 millimeters? O 0.0058 hectometers O 0.058 hectometers O 58,000 hectometers O 580,000 hectometers
Answer:
0.058 hectometers
Step-by-step explanation:
There are 0.058 hectometers in 580 millimeters.
To convert millimeters to hectometers, you need to divide the number of millimeters by 100,000. So, 580 millimeters divided by 100,000 equals 0.0058 hectometers, or 0.058 hectometers when rounded to two decimal places.
Sketch and graph please
We have drawn the graph for the given inequality.
What is inequality?
Inequality is a mathematical statement that compares two values or expressions and shows their relative size. It is represented by the symbols >, <, ≥, or ≤, which respectively mean "greater than", "less than", "greater than or equal to", and "less than or equal to". Inequalities can also include variables and can be used to describe a range of possible values for that variables.
For the given inequality y > -x - 5
we can draw the graph as shown below:
Hence, we have drawn the graph for the given inequality.
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MODELING REAL LIFE Scientists rope off two excavation sites. Site A is rectangular with a length of $60$ meters and a width of $40$ meters. Site B is similar in shape to Site A but has a length of $45$ meters. How much rope is needed for both sites?
m=
By using unitary methods, the amount of rope is needed for both sites is 350 meters.
Unitary method is a mathematical problem-solving technique that involves finding the value of one unit and using it to calculate the value of other units.
Let's start by looking at Site A, which is a rectangular area with a length of 60 meters and a width of 40 meters. To surround this area with rope, we need to measure the perimeter, which is the distance around the site.
=> Perimeter = 2 (length + width)
=> 2(60 + 40)
=> 2 x 100
=> 200 meters
Therefore, we need 200 meters of rope to surround Site A.
Now let's move on to Site B, which is also rectangular but has a length of 45 meters. To find the width of Site B, we can use the fact that it is similar in shape to Site A. Similar shapes have the same angles and proportional sides, so we can use a unitary method to find the missing dimension.
The length ratio of Site B to Site A is
=> 45/60 = 3/4
Since the shapes are similar, the width of Site B must also be 3/4 of the width of Site A.
Width of Site B = 3/4 x 40 = 30 meters
Now we can use the same formula as before to find the perimeter of Site B:
Perimeter = 2 (length + width)
=> 2(45 + 30)
=> 2 x 75
=> 150 meters
Therefore, we need 150 meters of rope to surround Site B.
To find the total amount of rope needed for both sites, we simply add the two perimeters:
Total rope needed = 200 + 150 = 350 meters
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Which of the following sequences is an arithmetic sequence?
O {1, 2, 4, 7,...}
O {1, -2, 4, -8,...}
O {1, 4, 7, 10, ...}
O {1, 3, 9, 27,...}
Answer:
The third option
Step-by-step explanation:
The third option, {1, 4, 7, 10, ...} is an arithmetic sequence because you add 3 to get from 1 to 4, and then you add 3 to get to 7, and then you add another 3 to get to 10.
Geometry!!!!! help me
The value of the unknown side length, BC, in given diagram is 28.3 ft
Similar triangles: Calculating unknown side length in a triangleFrom the question, we are to determine the value of the unknown side length in the given diagram
By similar triangles theorem, we can write that
AX/XY = AB/BC
From the given information,
AX = 12ft
XY = 17 ft
AB = AX + XB
= 12 ft + 8 ft
= 20 ft
BC = ?
Then, we can write that
12/17 = 20/BC
Cross multiply
12 × BC = 17 × 20
12 × BC = 340
BC = 340/12
BC = 28.3
Hence, the value of BC is 28.3 ft
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On a hike, William passed a sign that said his elevation was 20 1/2 feet
above sea level. He hiked downhill for a while longer until his elevation had
decreased by 28 feet. What is his new elevation?
Answer:
-7.5 OR -7 1/2
Step-by-step explanation:
20.5 - 28 = -7.5
OR
20 1/2 - 28 = -7 1/2
A fruit Juice blend is made by mixing the juice of oranges and apples in the ratio 7:5 If 168 litres of orange juice is used How much litres of Apple juice must be used ?
A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
If the ratio is 7: 5 (oranges to apples) we can use this equation to solve the problem:
168 × 0.714285714 = 120Why do we multiply by 0.714285714?We multiply by 0.714285714 because we can see that 7 is being multiplied by 0.714285714 to get 5.
Therefore, if the ratio stays proportional, you will need 120 litres of apple juice for every 168 litres of orange juice.
Perpendicular question
The value of a is obtained as follows:
a = 5.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.When two lines are perpendicular, the multiplication of their slopes is of -1.
Then the equation to obtain the value of a is given as follows:
0.5(1 - a) x 0.5 = -1.
0.25(1 - a) = -1
1 - a = -4
a = 1 + 4
a = 5.
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Pleaseh help me! Find the missing side length using trig!
Answe[tex]3\sqrt{2)[/tex]
Step-by-step explanation:
Now given your positive test result from test 2, what is doctor b's posterior probability for the hypothesis that you do have cogscitis?
The posterior probability of having cogscitis, given a positive test result from Test 2, is 0.0094 or about 0.94%. This indicates that even though you had a positive Test 2 result, the likelihood that you actually have CNS inflammation is still extremely low less than 1%.
With your positive test result from Test 2, we must apply Bayes' theorem to get Doctor B's posterior probability that you have cogscitis, which is:
P(A|B) = P(B|A) * P(A) / P(B)
The following probabilities are known:
P(A) = 0.001 (the population prevalence and previous likelihood of getting cogscitis)
P(B|A) = 0.95 (the possibility of receiving a positive Test 2 result while having cogscitis)
P(B|not A) = 0.10 (the possibility of receiving a positive test result from Test 2 even if you do not have cogscitis)
The law of total probability, which asserts the following, can be used to determine the marginal probability of a positive test result (P(B)):
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
where:
P(not A) = 1 - P(A) = 0.999 (the multiplier of the previous probability of contracting cogscitis)
Substituting the values, we get:
P(B) = 0.95 * 0.001 + 0.10 * 0.999 = 0.1008
The posterior probability of developing cogscitis can now be determined, given a positive test result from Test 2:
P(A|B) = P(B|A) * P(A) / P(B)
= 0.95 * 0.001 / 0.1008
= 0.0094
Therefore, the posterior probability of having cogscitis, given a positive test result from Test 2, is 0.0094 or about 0.94%. This indicates that even though you had a positive Test 2 result, the likelihood that you actually have CNS inflammation is still extremely low less than 1%.
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While playing a game of chance, Mei rolled a regular six-sided die 100 times and noticed that it landed on the number 4 exactly 48 times. What could Mei conclude about the die?
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.398 and 0.562. Since this includes 0.5, the die appears to be fair.
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.398 and 0.562. Since this is much greater than 1 out of 6, the die appears to be unfair.
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.382 and 0.578. Since this is much greater than 1 out of 6, the die appears to be unfair.
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.382 and 0.578. Since this includes 0.5, the die appears to be fair.
We draw the conclusion that perhaps the actual probability of the die falling on the 4th position is between 0.398 and 0.562, with a 90% confidence level. The die appears to be fair since this contains 0.5.
What is probability and example?It is predicated on the probability that something might happen. The concept of probability relies mainly on the justification for probability. A coin is tossed, for instance, and the hypothetical likelihood of receiving a head is 1 in 2.
What is the formula in probability?P(A) = f / N determines probability, which quantifies the possibility of an event happening. Probability and odds are related, but probability is necessary for odds to exist. Prior to calculating the likelihood that an event will occur, probability is required.
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Scatter plot, 8 grades help please!!!
Answer:
600 calories
Step-by-step explanation:
The problem asks us to use the given trend line to find how many calories are burned after 40 minutes. The trend line is the slope of the graph that is given, so all that we have to do is find 40 minutes on the x axis, and then find the point on the slope in the given graph that has an x value of 40, and this point ends up being (40, 600). This means that in 40 minutes, 600 calories are burned.
Toilets rolls are sold in packs 4 how many toilet rolls are there 10 packs
Answer:
40
Step-by-step explanation:
To determine the number of rolls, take the number of packs and multiply by the number of rolls per pack.
10 *4 = 40
40 rolls total.
Answer:
40 rolls
Step-by-step explanation:
10 packs * 4 rolls per pack
jeremy's average for 11 math tests is 80. His teacher announced that the students could eliminate any one of their test grades then recompute their average. Jeremy eliminated 30 on his first test. what is his average now?
Answer: His average is 85 now.
Step-by-step explanation:
Average is the sum of all his math tests divided by the number of the math tests he took, so we get:
[tex]\frac{sum }{11}=80[/tex]
sum = 11 x 80
sum = 880
880 - 30, we get 850, which becomes the new sum of the 10 math test scores, because he eliminated one test score.
[tex]\frac{850}{10} =85[/tex]
His average is 85 now.
the following data represent the monthly phone use, in minutes, of a customer enrolled in a fraud prevention program for the past 20 months. The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. what is the cutoff point?
321 474 461 548
406 464 517 311
534 425 377 505
322 435 410 513
499 354 307 363
For the given data, the cutoff point using the upper fence is 791.25 minutes.
To find the cutoff point using the upper fence, we need to first calculate the lower and upper fences.
The lower fence is given by the formula:
Lower fence = Q1 - 1.5 x IQR
where Q1 is the first quartile and IQR is the interquartile range.
The upper fence is given by the formula:
Upper fence = Q3 + 1.5 x IQR
where Q3 is the third quartile and IQR is the interquartile range.
To find these values, we first need to order the data:
307 311 322 321 354 363 377 406 410 425
435 461 464 474 499 505 513 534 548
The first quartile (Q1) is the median of the lower half of the data:
Q1 = (354 + 363) / 2 = 358.5
The third quartile (Q3) is the median of the upper half of the data:
Q3 = (513 + 534) / 2 = 523.5
The interquartile range (IQR) is the difference between the third and first quartiles:
IQR = Q3 - Q1 = 523.5 - 358.5 = 165
Now we can calculate the lower and upper fences:
Lower fence = Q1 - 1.5 x IQR = 358.5 - 1.5 x 165 = 91
Upper fence = Q3 + 1.5 x IQR = 523.5 + 1.5 x 165 = 791.25
Therefore, the cutoff point using the upper fence is 791.25 minutes. Any customer who uses more than 791.25 minutes in a month should be contacted by the phone company as part of the fraud prevention program.
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Solve for x. Leave your answer in simplest form
Answer:
Step-by-step explanation:x=28
What is the end behavior of f(x)?
f(x) = -252x+6x³ +30x² - 864
as x→→∞, f(x) → ∞ and as x→∞, f(x) →∞
as x-x, f(x) → ∞ and as a →∞, f(x) →→∞
as x-x, f(x) → ∞ and as a →x, f(x) →∞
as x→→∞, f(x) →→∞ and as x →∞, ƒ(x) →→∞
Answer: 27
Step-by-step explanation:
The slope-intercept form of a line is y=2/3x + 2. Which line is perpendicular and shifted down 8?
The slope-intercept form of a line is y=2/3x + 2, the line is perpendicular and shifted down 8 is y = -3/2x - 6.
The slope-intercept form of a line is y = mx + b, where m is the slope of the line and b is the y-intercept. In the given equation, y = 2/3x + 2, the slope is 2/3 and the y-intercept is 2.
To find a line that is perpendicular to this line, we need to find a line that has a slope that is the negative reciprocal of the slope of the given line. The negative reciprocal of 2/3 is -3/2, so the slope of the new line will be -3/2.
Now we need to find the equation of the new line in slope-intercept form. We know the slope of the line (-3/2), so we can substitute this value for m in the slope-intercept form and get:
y = -3/2x + b
To find the value of b, which is the y-intercept of the new line, we need to use the fact that the line is shifted down 8 units. We can do this by subtracting 8 from the y-intercept of the given line (which is 2), to get:
b = 2 - 8 = -6
So the equation of the line that is perpendicular to y = 2/3x + 2 and shifted down 8 units is:
y = -3/2x - 6
This line has a slope of -3/2, which is the negative reciprocal of the slope of the given line, and a y-intercept of -6, which is 8 units lower than the y-intercept of the given line.
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“The product of r and s is more than 4”
Answer: rs>4
Step-by-step explanation: The product of r and s just means rs. Then, when it says more than, you know its going to be a greater than sign: >. So your inequality would be rs>4
