Answer:
B. $16.13
Step-by-step explanation:
The Total Students= 82+74+96+99=351
Sum of earnings of 82 seniors = $26.75 x 82 = $ 2193.5
Sum of earnings of 74 juniors = $ 12.25 x 74 = $ 906.5
Sum of earnings of 96 sophomores = $15.50 x 96 = $ 1488
Sum of earnings of 99 freshmen= $ 10.85 x 99 = $ 1074.15
Total earnings = $2193.5 + $ 906.5 + $1488 + $ 1074.15 = $ 5662.15
( Total Earnings) ÷ (Total Students)
= $5662.15 ÷ 351
= $16.13
What is the distance between -2 1/2, 4 1/2 and 4 3/4, 4 1/2
A. 2 1/4 units
B. 4 1/2 units
C. 7 1/4 units
D. 9 1/4 units
Please help this is due tomorrow :(
9514 1404 393
Answer:
C. 7 1/4 units
Step-by-step explanation:
It can be useful to plot the points on a graph.
The two points are on the same horizontal line, so the distance between them is the difference of their x-coordinates.
4 3/4 -(-2 2/4) = (6 +2) +(3/4 +2/4) = 6 5/4 = 7 1/4 . . . . units
__
Some folks find it easier to do the arithmetic by converting to decimal numbers.
4.75 -(-2.50) = 4.75 +2.50 = 7.25 = 7 1/4 . . . . units
Jackie correctly solved this equation:
Which statement describes the solutions she found?
A.
She found one valid solution and no extraneous solutions.
B.
She found two valid solutions and no extraneous solutions.
C.
She found one valid solution and one extraneous solution.
D.
She found no valid solutions and two extraneous solutions.
Equation:
(4/(x-2))+(1/((x^2)-4))=(1/(x+2)
Answer:
A: She found one valid solution and no extraneous solutions.
Step-by-step explanation:
When solving you get x= -(11/3)
I NEED HELP FAST! Which of the following sets of numbers could not represent the three sides of a triangle?
Answer:
Im pretty sure that 12, 18, and 29 would be the answer to your question.
Step-by-step explanation:
An arctic cold front is moving through an area. It is 37F when the temperature begins to drop. The scatter plot suggests a linear relationship between the temperature and the number of hours since the cold front arrived. Use the scatter plot to answer parts ac.
Answer: The slope describes the change in temperature for every hour after the cold front arrives.
Step-by-step explanation:
Branliest to correct answer explain how you solved it please
Answer:
{1}
Step-by-step explanation:
A ∩ B ∩ C means A intersection B intersection C. That means the question is asking for a set of numbers that are in sets A, B, and C.
{1} is the answer since it is the only number that is in all three sets.
For each problem, select the best response.
1. Does 30 minutes of aerobic exercise each day provide significant improvement in mental performance? To investigate this issue, a researcher conducted a study with 150 adult subjects who performed aerobic exercise each day for a period of six months. At the end of the study, 200 variables related to the mental performance of the subjects were measured on each subject and the means compared to known means for these variables in the population of all adults. Nine of these variables were significantly better (in the sense of statistical significance) at the ???? = 0.05 level for the group that performed 30 minutes of aerobic exercise each day as compared to the population as a whole, and one variable was significantly better at the ???? = 0.01 level for the group that performed 30 minutes of aerobic exercise each day as compared to the population as a whole. It would be correct to conclude:_____.
a. that these results would have provided very good statistical evidence that 30 minutes of aerobic exercise each day provides some improvement in mental performance if the number of subjects had been larger. It is pre-mature to draw statistical conclusions from studies in which the number of subjects is less than the number of variables measured.
b. that there is very good statistical evidence that 30 minutes of aerobic exercise each day provides some improvement in mental performance.
c. that there is very good statistical evidence that 30 minutes of aerobic exercise each day provides improvement for the variable that was significant at the α = 0.01 level. We should be somewhat cautious about making claims for the variables that were significant at the α = 0.05 level.
d. none of the above.
2. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) μμ and standard deviation σ = 0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but you believe that the mean nicotine content is actually higher than advertised. To explore this, you test the hypotheses H0 : μ = 1.5, Ha : μ > 1.5 and you obtain a P-value of 0.052. Which of the following is true?
A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.
B. You have failed to obtain any evidence for Ha.
C. This should be viewed as a pilot study and the data suggests that further investigation of the hypotheses will not be fruitful at the α = 0.05 significance level.
D. At the α = 0.05 significance level, you have proven that H0 is true.
3. An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The new bulb had a lifetime of 1200.2 hours, using a sample of 40,000 bulbs. Although the difference is quite small, the effect was statistically significant. The explanation is:____.
a. that the sample size is very large.
b. that the mean of 1200 is large.
c. that new designs typically have more variability than standard designs.
d. all of the above.
Answer:
1. d. none of the above.
2. A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.
3.a. that the sample size is very large.
Step-by-step explanation:
1. This experimental analysis is incomplete so none of the options provides the best solution. Therefore the correct answer is choice D.
2. The smallest value which provides basis for rejection for H0 at ∝= 0.05 is P= 0.05.
As P= 0.052 but we are not sure about other variables such as sample size. So option A is the best choice
A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.
3. A sample of 40,000 bulbs will provide a wider range for the results. Therefore the sample size is too large to accurately predict the results .
Hence choice a gives the best answer that the sample size is too large.
the table below shows' different possibilities for the number of games a team would need to win to maintain a certain percentage of wins. Which ratio of games won to the number of games played could also be included in this table?
Answer:
C
Step-by-step explanation:
I saw em in other ones
A square painting has a side length of 18 inches. What is the area of the
painting?
HELP MEH PLS ASAP PLS PLZ PLS HELP
Answer:
324 inches
Step-by-step explanation:
The area of the painting would be 324 inches.
Given that a = 1, b = 2, and C = -3, evaluate
ab²- ac²/ 2bc
Answer:
5/12
pls Mark as brainliest
PLEASE HELP I WILL MARK YOU BRAINIEST!!
Consider this absolute value function.
f(x) = |1 + 3|
How can function fbe rewritten as a piecewise function?
Answer:
The function [tex]f(x) = |x+3|[/tex] can be rewritten in the following form:
[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]
Step-by-step explanation:
According to the definition of absolute value, we know that:
[tex]f(a) = \left\{\,\begin{array}{ccc}a\,\,\,a\ge 0\\-a\,\,\,a < 0\end{array}[/tex]
According to this, we can define [tex]f(x) = |x+3|[/tex] in the following form:
[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]
Answer:
The correct order is in the picture i attatched:)
Step-by-step explanation:
Hope this helps explain a little better:)
The segment show below could form a triangle?
True or False
Answer:
False
Step-by-step explanation:
RULE 1 :ANY SIDE OF THE TRIANGLE MUST BE LESS THAN THE SUM OF THE OTHER TWO SIDES
6< 12+5
5<6+12
12<5+6 (this is wrong number 1)
RULE 2: ANY SIDE MUST BE LESS THAN THE SUBTRACTION OF THE SMALLER SIDE AND THE BIGGER SIDE
6>12-5(wrong number 2)
5>12-6(wrong number 3)
12> 6-5
IT ONLY TAKES ONE WRONG TPO PROVE THIS IS NOT CORRECT
The top of a 230 foot vertical tower is to be anchored by cables that make an angle with a measure of 50 degrees with the ground.
How long must each cable be? ____ feet
How far from the base of the tower should the anchors be placed? _____ feet
9514 1404 393
Answer:
cable length: 300.2 ftanchor distance: 193.0 ftStep-by-step explanation:
The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.
Sin = Opposite/Hypotenuse
sin(50°) = (230 ft)/h
h = (230 ft)/sin(50°) ≈ 300.24 ft
The length of the cable must be about 300.2 feet.
__
Tan = Opposite/Adjacent
tan(50°) = (230 ft)/d
d = (230 ft)/tan(50°) ≈ 192.99 ft
The cable must be anchored about 193.0 ft from the tower.
who said let me in let me in plz it's been i said 2 minutes it been 2 minutes
Answer:
me
Step-by-step explanation:
16% of what is 60? PLZ I NEED HELP
Answer:
9.6 is your answer
Hope this helps!
8) How many terms of the arithmetic sequence (2, 4, 6, 8, ...} will give a sum of 600?
PLZ ANSWER
Answer:
I believe the answer is 300
Step-by-step explanation:
What are the steps to solve a quadratic equation? (If you do not give a thorough explanation you will be reported.) Have a good day! :)
Answer:
See belowStep-by-step explanation:
first thing you didn't give any quadratic equation and also didn't allude which method you indeed however I'll give you two methods
factoringquadratic formulato get elaborately factoring method
see this question which is answered by me
https://brainly.com/question/22505331quadratic formula:
[tex] \displaystyle \: x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac } }{ 2a} [/tex]by using this formula we can solve quadratic very early
we just need to substitute the value of a,b and c and simply to get x
https://brainly.com/question/9701183?referrer=searchResultsExample 1 – Solve: Example 1
Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.
Step 1
Step 2: Use the order of operations to simplify the quadratic formula.
Step 2
Step 3: Simplify the radical, if you can. In this case you can simply the radical into:
Step 3
Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.
What is the total length of all meteors that are 1 6/8 inches?
A line plot with the title, length of meteors. The data is a measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three-eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five-eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.
three and four-eighths inches
three and five-eighths inches
four and seven-eighths inches
three and seven-eighths inches
Answer:
three and four-eighths inches
Step-by-step explanation:
Given :
Tick 1 = 2/8 (1 data point)
Tick 2 = 3/8 (3 data points)
Tick 3 = 4/8 (2 data points)
Tick 4 = 5/8 (no points)
Tick 5 = 6/8 (2 data points)
Tick 6 = 7/8 (no data points)
Tick 2 = 3/8 (3 data points)
....
Tick 13 = 1 6/8 (2 data points)
Hence, total length of all meteors that are 1 6/8 inches :
Length of meteor = 1 6/8
Number of meteors = 2
(2 * 1 6/8) = 2 * 14/8 = 28/8 = 3 4/8 = 3 1/2
Answer:
three and four-eights inches
Step-by-step explanation:
-87 8g = 56
I need help please
G = 8
-8 + 8g = 56
Add 8 to both sides
8g = 64
Divide by 8
g = 8
please help with number 10 please
Dunno what that symbol is lel
Given: m∠AKB = 25°
KO = 25
Find: V, Surface Area of of a cone
Please leave answers in term of Pi
Answer:
V = 255.98189 pi
SA = 172.64114π
Step-by-step explanation:
The first thing to do is find the radius.
the measure of angle AKO = 1/2 the measure of angle AKB
m< AKO = 12.5 degrees
Now use trig to find AO (aka the radius)
tan(12.5) = AO/25
AO = 25* tan(12.5)
I'm leaving it like this to get a more accurate number
Now to find the volume
the volume of a cone is pir^2h/3
plugging everything in we get:
pi(25*tan(12.5))^2 * 25/3
which is about 255.98189 pi
Now for surface area
(this is the moment I realize symbols exist)
SA = πr(r+√h²+r²)
plugging everything in we have
π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)
I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)
The Surface Area is about 172.64114π
Factor x^2+8x+15
Show work with attachment
Answer:
heres how to solve it
Step-by-step explanation:
which height is greater : -20 m or 4 m
Answer:
4 m
Step-by-step explanation:
hope you have a great day
Graph the line with slope
4/3
and y-intercept -9.
The graph is shown in the attached image.
The graph of the line is a straight line with points on are: (0, -9), (3, -5) and (6, -1).
Given that a line has a slope of 4/3 and the y-intercept is -9, we need to graph the line,
To graph the line with a slope of 4/3 and a y-intercept of -9, we can use the slope-intercept form of a linear equation, which is y = mx + b.
Here, the slope (m) is 4/3, and the y-intercept (b) is -9.
Start by plotting the y-intercept, which is the point (0, -9).
Next, use the slope to determine the direction of the line. The slope 4/3 means that for every 4 units you move up, you need to move 3 units to the right.
So, from the y-intercept (0, -9), move up 4 units and then move to the right 3 units to find the next point on the line. This point would be (3, -5).
Repeat this process to find more points on the line. Move up 4 units and to the right 3 units from the previous point (3, -5) to get (6, -1).
You can continue this process to find more points if desired.
Once you have a few points, connect them with a straight line to graph the line.
The graph of the line with a slope of 4/3 and a y-intercept of -9 is attached in the solution.
Learn more about Linear equations click;
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if there are only 2 of a particular stamp remaining out of 5000 originally printed, what percent remains today?
Answer:
0.04%
Step-by-step explanation:
To find a percentage, we want to create a ratio of a portion by the total.
Our portion is 2.
Our total is 5000.
Let's create the ratio by dividing the numbers.
2/5000
Divide.
= 0.0004
Multiply this by 100 to find the percentage.
0.04%
This is your answer.
Check your answer by plugging it into a percentage equation.
0.04/100 of 5000 = 2
0.0004 • 50000 = 2
2 = 2
Your answer is correct.
Hope this helps!
What is 7-4/6 ?
What is 234-303+93847?
Answer:
7-4/6 = 6.33333333333
234-303+93847 = 93778
Step-by-step explanation:
40 points! Please help me
Answer:
x = 8
y = 14
Step-by-step explanation:
2x + 6 = 4x - 10 (Corresponding angles so they're equal)
2x - 4x = -10 - 6
-2x = -16
x = 8
2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)
2(8) + 6 + 13y - 24 = 180
16 + 6 + 13y - 24 = 180
13y - 2 = 180
13y = 182
y = 14
Answer:
2x+6=4x-10[corresponding angle]
16=2x
x=8
again
2×8+6+13y-24=180°[linear pair]
13y=180+2
y=182/13
y=14
3. Use congruent triangles to find side lengths.
Part I: Draw the two congruent triangles described in the box. Label their vertices and side lengths.
(2 points)
AABC AEFG
AB = 6, GF = 8, AC = 10.
The value on the congruent triangles are BC = 8, EF = 6, and EG = 10.
How to illustrate the graph?It should be noted that a triangle is congruent if they have the same length and the same angles
In this case, triangles ABC and EFG are congruent.
Here, BC = 8
EF = 6
EG = 10
Learn more about triangles on:
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daniel has x coins, paula has 2 time as many coins as Daniel
Answer:
Paula = 2x coins
Step-by-step explanation: We don't know how many x is, but we know that whatever x is, Paula is going to have double that number of coins. Turn this explanation into an equation... 2x...
The Hiking Club is taking another trip. The hike leader's watch shows that they gained 296 feet in altitude from their starting position.
Their altitude is now 285 feet, but there is no record of their starting altitude.
Write and solve an equation to represent this situation and find their starting altitude.
Answer:
Step-by-step explanation:
The required equation is x+295=285 , where x= starting altitude( in feet).
The starting altitude is -11 feet.
Let x be the starting altitude( in feet) .
Given: The Hiking Club is taking another trip. The hike leader's watch shows that they gained 296 feet in altitude from their starting position.
Then, the altitude is now = x+ 296
Since their altitude is now 285 feet.
So the required equation is x+296=285
Subtract 296 from both sides, we get
x= -11