Answer:
Average score per game = 60,000 per game
Step-by-step explanation:
Given:
Points scored in first game = 25,000
Points scored in second game = 125,000
Points scored in third game = 30,000
Find:
Average score per game
Computation:
Average = Sum of observation / Number of observation
So,
Sum of all game = 25,000 + 125,000 + 30,000
Sum of all game = 180,000
Number of games = 3
Average score per game = 180,000 / 3
Average score per game = 60,000 per game
Which of the following is (−5x + 4) − (3x2 − 7x + 4) simplified and written in standard form?
A. 3x2 − 12x + 8
B. 2x − 3x2
C. −3x2 + 7x − 5x
D. −3x2 + 2x
Answer:
D)
Step-by-step explanation:
-5x + 4 - 3x² + 7x - 4
-3x² + 2x
Answer:
(–5x + 4) – (3X²–7x + 4) = ( – 3x² + 2x )
6. Roberta started the year with $125 in a savings account. She has been adding money at a rate of $15 per week. Write an equation in the form y = mx + b that represents the total amount of money (y) in the account after x weeks.
Answer:
y=15x+125
Step-by-step explanation:
Hope this helps!
About 25% of those called for jury duty will find an excuse to avoid it. If 12 people are called what is the probability that all 12 will be available. (Binomial distribution)
Answer:
Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.
Step-by-step explanation:
The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].
For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].
Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)
Hence, the probability that all [tex]12[/tex] jurors are available would be:
[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].
Which one is the correct answer
Answer:
ans is 3x2 ln x is a option correct
Lorena purchased a fish tank in the shape of a cube with sides 18 inches in length. What is the distance between the opposite corners of the front of the tank?
Answer:[tex]31.17\ in[/tex]
Step-by-step explanation:
Given
Edge length of cube is [tex]a=18\ in.[/tex]
From the figure, distance between the opposite corner of the tank is
[tex]\Rightarrow (xy)^2+(xz)^2=(yz)^2\\\Rightarrow a^2+(a\sqrt{2})^2=(yz)^2\\\Rightarrow (yz)^2=3a^2\\\Rightarrow (yz)^2=3\times (18)^2\\\Rightarrow yz=18\sqrt{3}\\\Rightarrow yz=31.17\ in.[/tex]
Therefore, the length of the opposite corners is [tex]31.17\ in[/tex]
The Box-and-Whisker Plot represents the ages of 40 people who responded to a telephone survey.
Which statement is true about this data set?
A. About 50% of the respondents were at or between 40 and 67.5 years old.
B. The range of the data is 84 years.
C. The outlier is 28 years.
D. The mean is 51 years.
Answer:
'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)
Step-by-step explanation:
Range is 84-28 which is 56
Median is 51
1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25
Q1 is 40
Q1 - IQR = -1.25
Low outliers are below -1.25 - 41.25; there are not data items below -42
Answer:
'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)
Step-by-step explanation:
Range is 84-28 which is 56
Median is 51
1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25
Q1 is 40
Q1 - IQR = -1.25
Low outliers are below -1.25 - 41.25; there are not data items below -42
What is 5.88 divided by -4
Answer:
-1.47
Step-by-step explanation:
5.88/-4= -1.47
Eight trials are simulated. The results are shown in the table.
Simulation
105 104 110 112
114 106 108 109
What is the estimated margin of error, using standard deviation?
Enter your answer, rounded to two decimal places, in the box.
± =
2.897
This should be you're anwser.
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3 which graph is an example of a function??
Answer:
The middle one because there is only 1 value of y for every value of x.
The diameter of a cylindrical construction pipe is 4ft . If the pipe is 24ft long, what is its volume
Liam puts 40$ in savings in March and 175% of this amount in savings in April. How much does Liam put in savings in April?
Answer:
$70
Step-by-step explanation:
You want 175% of $40.
175% as a decimal = 1.75
1.75 times 40 = 70
Therefore Liam put $70 in savings in April
Answer:
70
Step-by-step explanation:
Multiply 40$ by 175% :)
please help me with this one
Answer:
a: 500in squared
Step-by-step explanation:
A=(a+b)/2 x h.
19+31=50
50/2=25
25×20=500
Find c. Determine it from the choices below.
Answer:
12 centimetres
Step-by-step explanation:
I looked it up
Write a linear equation that intersects ytte points. Then willes second linear equation that intersecta y at just one point, and ther equation that does not intersecty Expten how you found the linear equations 40
Answer:
[tex](a)\ y = 2x +8[/tex]
[tex](b)\ y = 0[/tex]
[tex](c)\ y = -5[/tex]
Step-by-step explanation:
Given
[tex]y = x^2[/tex]
First, graph [tex]y = x^2[/tex] (See attachment)
We are not limited to any particular linear equation; as long as we meet the required condition
Solving (a): Equation of a line that intersects [tex]y = x^2[/tex] at two points
Select any two points on opposite sides of the curve
The selected points are:
[tex](x_1,y_1) = (-2,4)[/tex]
[tex](x_2,y_2) = (4,16)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{16 - 4}{4 - -2}[/tex]
[tex]m = \frac{12}{6}[/tex]
[tex]m = 2[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 2(x - -2) + 4[/tex]
[tex]y = 2(x +2) + 4[/tex]
Open bracket
[tex]y = 2x +4 + 4[/tex]
[tex]y = 2x +8[/tex]
Solving (b): Equation of a line that intersects [tex]y = x^2[/tex] at one point
A good illustration of this is x-axis
Because it intersects with the line at just one point, which is origin (0,0).
The equation of line at this point is:
[tex]y = 0[/tex]
Solving (c): Equation of a line that does not intersect [tex]y = x^2[/tex]
Here, we make use of any horizontal line below the x-axis
Select any two horizontal points below the x-axis
[tex](x_1,y_1) = (-5,-5)[/tex]
[tex](x_2,y_2) = (5,-5)[/tex]
Calculate slope
[tex]m = \frac{-5--5}{5--5}[/tex]
[tex]m = \frac{0}{10}[/tex]
[tex]m = 0[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 0(x - -5) + (-5)[/tex]
[tex]y = 0-5[/tex]
[tex]y = -5[/tex]
Mr. Carr is hiring a plumber to repair his sink. The cost of Plumber T is shown in the table.
A table titled Plumber T Costs is shown. It has three columns and two rows. Row one is labeled Hours, h. Row two is labeled Cost, c. One hour, one hundred twenty-eight dollars. Two hours, two hundred fifteen dollars. Three hours, three hundred two dollars.
Part A. What is the initial cost and hourly rate of Plumber T?
Part B. Write an equation to represent the function shown in the table.
Part C. Plumber W charges $95 per hour and an additional $32 for the parts needed. What is the difference in cost between Plumber W and Plumber T if the repair Mr. Carr needs takes 5 hours?
Enter the correct answers in the boxes.
A. Initial cost: $
Rate per hour: $
B. Equation:
C. Difference in cost: $
The hourly rate of plumber T is $87 per hour and have an initial cost of $41.
Linear equationLinear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial amount.
From the table, using points (1, 128) and (2, 215):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-128=\frac{215-128}{2-1}(x-1)\\ \\y= 87x+41[/tex]
The hourly rate of plumber T is $87 per hour and have an initial cost of $41.
Find out more on Linear equation at: https://brainly.com/question/14323743
Answer:
Initial cost: $ 41
Rate per hour: $87
Equation: y=87x+41
Step-by-step explanation:
Sorry I do not know the difference in cost.
List the next three numbers for the sequence:
34, 102, 408, 2040, ...
Answer:
12240
85680
685440
Step-by-step explanation:
We know that the sequence is growing rapidly
To see how rapidly divide the second term by the first term
102/34 =3
Check the third term divided by the second term
408/102 =4
Check the fourth term divided by the third term
2040/408=5
To get the second term, multiply by 3, to get the third term multiply by 4
to get the fourth term multiply by 5
to get the nth term multiply by (n+1)
The 5th term would be multiplied by 6
2040 *6 =12240
The 6th term by 7
12240*7=85680
The 7th term by 8
85680*8=685440
You want to make five-letter codes that use the letters A, F, E, R, and without repeating any letter. What is the probability that a randomly chosen
code starts with Mand ends with E?
Answer:
Probability [chosen code starts with M and ends with E] = 0.05
Step-by-step explanation:
Given:
Total alphabet = A, F, E, R, and M
Creating name without repeat
Find:
Probability [chosen code starts with M and ends with E]
Computation:
Probability Name start with M = 1 / 5
Probability Name start with E = 1 / (5-1)
Probability Name start with E = 1 / 4
Probability [chosen code starts with M and ends with E] = Probability Name start with M x Probability Name start with E
Probability [chosen code starts with M and ends with E] = (1/5)(1/4)
Probability [chosen code starts with M and ends with E] = 1 / 20
Probability [chosen code starts with M and ends with E] = 0.05
Please help this is for a project: The stimulus check is a one time $1,200 pay out and the unemployment check is $600 per week
for a maximum of 16 weeks. Make an equation that can be used to find y, the amount of money in your
account after x number of weeks of getting unemployment checks.
Can b an x be greater than 16? What is a mathematical way to show that?
during a sale, a shopkeeper reduced the prices of all his goods by 15 %. Calculate the normal selling price of microwave which was sold for Rs 3825 in the sale.
Answer:
Normal selling price is Rs 4500
Explanation:
1) Selling price = original price × (100-d) / 100
d = reduced price percentage
2) Rearrange the formula
original price = (selling price × 100) / (100 - d)
S.p = 3825
d= 15%
let original price = x
Therefore
x = (s.p×100) / (100-d)
x = (3825×100) ÷ (100-15)
x = 382500/85
x = 4500
consider the original price x
offer15% = 15x/100
Saling price = x - 15x/100
3825 = 85x/100
x = (3825×100)÷ 85 = 4500 rs
Answer the normal selling price of microwave which was sold for Rs 3825 in the sale is 4500 rs
please help ive been struggling for a hour i will give a lot of points if corrected
Answer:
EFG = 104°
GFH = 76°
Step-by-step explanation:
The sum of a linear pair is always equal to 180°
So lets solve for the variable n
2n + 32 + 4n + 16 = 180
6n + 48 = 180
6n = 132
n = 22
So now we know N
EFG = 4n + 16
EFG = 88 + 16
EFG = 104°
GFH = 2n + 32°
GFH = 44 + 32
GFH = 76°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
2a + 3b = 5
b= a - 5
Answer:
I'm not sure but I thing the answer is 10
Step-by-step explanation:
A recent Algebra 2 quiz had scores that closely followed a normal distribution with a
mean of 80 and the standard deviation of 10. (Note: there was extra credit on this quiz)
O SD
JS
SO
SD
es
les
250
2 SD
-350
3 SD
orations
А B С D E F G
Using the given mean and standard deviation, label the normal curve shown above.
le Drive
pod
A=
BE
D
very Education
E=
F=
Answer: Your question is poorly written, the Normal Curve is missing attached is a free sketch of normal distribution curve
answer : attached below
Step-by-step explanation:
Given data :
Mean = 80
standard deviation = 10
for a Normal distribution curve to the right of the mean value is ; +10SD , +20SD, +30SD........ +250D while to the left is -10SD , -20SD, -30SD....... -350D
What is the probability of a baseball player getting three hits in a row if his batting average is 17.9%?
0.57%
53.7%
6.0%
17.9%
Step-by-step explanation:
Here batting average is 17.9% = 0.179
In baseball, a batting average is the probability of the number of hits divided by the number of t... do the rest
A question "I" made.
Answer:
41.67%
Step-by-step explanation:
:)
A mobile phone is priced at rs 9200. The price includes a Vat of 15%.How much is the mobile phone without vat?
Answer:
Step-by-step explanation:
cost price +VAT=RS 9200
let cost price (original price be x)
CP+VAT% *CP=Rs 9200
x+15/100*x=Rs 9200
100x+15x=Rs 9200*100
115x=Rs 920000
x=Rs 920000/115
x=Rs 8000
I WILL GIVE BRAINLIEST!!!!!!
Starting at (0,0) if you were to go 5 units left and 6 units up what coordinates would you end up at? What quadrant would you be in?
Answer:
I think Quadrant 1. I;m not trying to just answer for the points
Step-by-step explanation:
I would really appreciate answer i only have 30 more minutes please :(
Answer:
Q4) 23
Q5) 18
Q6) 15
Step-by-step explanation:
Q6) In the given Stem and Leaf Plot, we have, the average weights as follows;
0.1, 0.1, 0.1, 0.2, 0.2, 0.3, 0.4, 0.4, 0.5, 1, 1, 1.2, 1.3, 1.7, 2.2
By counting the number of data given above, n = 15
Q5) The given data in the stem and leaf diagram are;
7, 9, 14, 15, 16, 18, 18, 21, 23, 30
The median of the 10 data points is the (10 + 1)/2 or the 5.5th data point
The fifth data point = 18
The sixth dat point = 18,
Therefore, the median, which is the 5.5th data point = 18 + (18 - 18)/2 = 18
The median = 18
Q4) The given data points are;
7, 9, 14, 15, 16, 18, 18, 21, 23, 30
The range = The largest data point value - The least data point value
Therefore;
The range = 30 - 7 = 23
The range = 23
The Box and whisker plot below shows the number of points each member of the middle school basketball team made during the game on Saturday. What was the greatest number of points scored by a basketball player during the game on Saturday?
Answer: You are correct. The answer is C) 7
This is because the max is visually shown by the tip of the right whisker. This assumes there are no large outliers. If there were large outliers, then we'd have island points to the right of the boxplot.
HELPPP 21 POINTSS
MARKS BRAINLEST IF CORRECT
Answer:
3 or the 3rd one from the top
Step-by-step explanation:
Since after 8 minutes it wasn't cooked enough he put it in for more time. So that means the arrow should be pointing to more time. But the circle isn't filled in because it is more than 8 minutes.
Find the value of x. Help fast me need help
Answer:
(5x + 16) + 102 + 92 + 100 = 360
(5x + 16) + 294 = 360
-294 -294
5x + 16 = 66
-16 -16
5x = 50
Divide by 5 on both sides.
x = 10 degrees
A quadrilateral will always equal 360 degrees
A triangle will always equal 180 degrees.