the probability.
solution:P(5 or 10 or 11 or 12)
= P(5)+P(10)+P(11)+P(12)
= 4/36+3/36+2/36+1/36
= 10/36
= 5/18
so, the correct answer is option C) 5/18.
Eric and James are looking at this number sequence: 4, 8, 20, 56, 164. What must they do to find the term-to-term rule?
Answer:
[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]
[tex]\textsf{where}\quad f(1)=4[/tex]
Step-by-step explanation:
Given sequence: 4, 8, 20, 56, 164
First, work out the difference in the terms:
[tex]4 \underset{+4}{\longrightarrow} 8 \underset{+12}{\longrightarrow} 20 \underset{+36}{\longrightarrow} 56 \underset{+108}{\longrightarrow} 164[/tex]
As the first differences are not the same, work out the second differences:
[tex]4 \underset{\times 3}{\longrightarrow} 12 \underset{\times 3}{\longrightarrow} 36 \underset{\times 3}{\longrightarrow} 108[/tex]
Therefore, the term-to-term rule is:
[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]
[tex]\textsf{where}\quad f(1)=4[/tex]
[tex]f(2)=f(1) + 4(3)^{2-2}=4+ 4(3)^{0}=4+4=8[/tex]
[tex]f(3)=f(2)+4(3)^{3-2}=8+4(3)^1=8+12=20[/tex]
[tex]f(4)=f(3) + 4(3)^{4-2}=20+4(3)^2=20+36=56[/tex]
[tex]f(5)=f(4) + 4(3)^{5-2}=56+4(3)^3=56+108=164[/tex]
Riley and her friends buy snacks at the movies. They buy 3 pretzels and 4 drinks for $17.50. The cost of a pretzel is the same as the cost of a drink. The situation can be represented by the graph and the system of equations shown, where p is the cost of a pretzel and dis the cost of a drink. I a. What is the cost of each pretzel? What is the cost of each drink? Show your work.
Answer:
Each costs $2.50
Step-by-step explanation:
Given
Cost of 3 pretzels and 4 drinks = $17.50p = dSolving
3p + 4d = 17.50But, p = d3d + 4d = 17.507d = 17.50d = $2.50⇒ p = $2.50The population density of a city is 121 residents per square mile. There are exactly 4,205 that live in the city.
What is the area of the city?
Answer:
34.75 ( that's round to the nearest hundredth )
Step-by-step explanation:
do the math
(WILL GIVE BRAINLIEST TO CORRECT ANSWER)
Below is a table showing the maximum distance over time that an Adélie penguin can walk.
The distance that an emperor penguin can walk over a period of time is represented by the equation d=1.7t
A. Which penguin species has a faster maximum walking speed? Show your work.
B. Approximately how long would it take the fastest penguin from both species to walk 3 miles? Show your work
Answer:The penguin will walk 75.15 feet in 45 seconds.
It will take the penguin 26.95 seconds to walk 45 feet.
Through cross multiplication we can determine the unknown quantity we need
Step-by-step explanation:
BRAINLIEST TO WHOEVER GET IT RIGHT
What are the solutions to the system of equations graphed below?
in picture below:)
Answer:
hey there!
Step-by-step explanation:
your answer should be the first one (0,4 and 2,0)
hope its help yayayayayou
Pleaseeeeeeee i need some help hereeeeeeee
Answer:
Attached image
Step-by-step explanation:
Convert 3/4 to 6/8, then count out the points on the line for each number to plot it.
Answer:
There are 8 tick marks, so......
2.75 would go on the 6th tick mark between 2 and 3
1.625 would go on the fifth mark between 1 and 2
For clarification, I have graphed it out below!
Hope this helps!
1,945x46 multiplying multiplication
Answer:
89,470
Step-by-step explanation:
5.5 - Solving Quadratic Equations - Perfect Square Trinomials and Difference of Squares
Factor the following if they are a perfect square trinomial or a difference of squares.
a) x^2 + 24x + 144 = 0
b) 9x^2 - 36x + 36 = 0
c) x^2 - 64 = 0
d) 4x^2 - 81 = 0
Answer:
Step-by-step explanation:
(a²-2ab+b²)=(a-b)²
a²+2ab+b²=(a+b)²
i solve b and d
(b)
9x²-36x+36=0
(3x)²+2×3x×-6+(-6)²=(3x-6)²
(d)
a²-b²=(a+b)(a-b)
4x²-81=0
4x²-81=(2x)²-9²=(2x+9)(2x-9)
Write the quadratic equation in standard form: -7x+11= −2x^2
Answer:
[tex]x=\frac{7-\sqrt{137} }{4} =-1.76[/tex]
Step-by-step explanation:
Please help with the proportions word problem!!
Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem.
Answer:
30%
Step-by-step explanation:
the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80
6th grader here sorry if wrong
help me solve and explain this
Answer:
B because the length of R to U is 6x5
PLEASE ANSWER ASAP WILL REWARD!
Find the formula for an inverse proportion, knowing that its
graph goes through the point:
C(-25, -0.2)
The formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.
What is inversely proportional relationship?Let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
The formula for the inverse function is given as,
[tex]y=\dfrac{c}{x}[/tex]
Here, c is constant.
The graph goes through the point: C(-25, -0.2). For the inverse function.
[tex]-25\propto\dfrac{1}{-0.2}\\-25=\dfrac{c}{-0.2}\\c=-25\times-0.2\\c=5[/tex]
Put the value in the above function,
[tex]y=\dfrac{5}{x}[/tex]
This is the required function.
Hence, the formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.
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45N,30N what is the resulant force on the boat
Answer:
15N.
Step-by-step explanation:
45 - 30
= 15N.
Answer:
15
Step-by-step explanation:
45N - 30N = 15N
The resultant force on the boat is 15N.
What is the average rate of change?
A. 4
B. 2/5
C. 1
D. 2
Answer:
C) 1
Step-by-step explanation:
The average rate of change remains constant among the 3 given points as [tex]\frac{5-4}{2-1}=1[/tex] and [tex]\frac{10-5}{7-2}=1[/tex], so your answer is C
At Fairview Middle School, 75 band members need to raise a total of $8,250 for a trip. So far, they have raised $3,120.
How much money, in dollars, per band member, still needs to be raised for the trip?
The entire band decides to have a concert to raise the money for the trip. Tickets for the concert will cost $7.50 each.
A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip.What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?
How much money, in dollars, per band member, still needs to be raised for the trip?
$68.40A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip. What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?
456 ticketsSeven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink?
Answer:
12
Step-by-step explanation:
84/7 = 12
Each person will get 12 ounces to drink.
Dr. Smith, a biology professor at Bradford University, has decided to give his classes a standardized biology exam that is nationally normed. This indicates that the normal distribution is an appropriate approximation for the probability distribution of students’ scores on this exam. The probability distribution of students’ scores on this standardized exam can be estimated using the normal distribution shown below.
X
X
Inflection Point
Inflection Point
70
78
86
State the mean of the distribution of the biology exam scores.
State the standard deviation of the distribution of the biology exam scores.
Grading Curve Option I
Originally, Dr. Smith decides to curve his students’ exam grades as follows.
Students whose scores are at or above the percentile will receive an A.
Students whose scores are in the – percentiles will receive a B.
Students whose scores are in the – percentiles will receive a C.
Students whose scores are in the – percentiles will receive a D.
Students whose scores are below the percentile will receive an F.
Find the z-scores that correspond to the following percentiles.
percentile
percentile
percentile
percentile
Using that information, find the exam scores that correspond to the curved grading scale. Assume that the exam scores range from 0 to 100. (Round to the nearest whole number.)
A: –
B: –
C: –
D: –
F:
For inflection Points of
707886The mean and standard deviation are is mathematically given as
x=78
sigma=8
What is Normal distribution?Normal distribution is simply a symmetrical bell-shaped graph that displays the distribution of numerous random variables.
Generally, the equation for the mean is mathematically given as
x=total sum /amount
Therefore
x=70+78+80/3
x=78
In conclusion, Inflexion point for normal distribution is given as
[tex]I=\mu+\sigma\\\\\mu+\sigma=86[/tex]
Also
[tex]\mu-\sigma=70[/tex]
Therefore
[tex]78+\d\sigma=86[/tex]
sigma=8
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I NEED HELP PLS (what percentage of 6th graders are boys?)
Answer:
50%
Step-by-step explanation:
its going up by 10% so its 50% the bar on boys in 6th graders is on 50%
Drag the tiles to the correct boxes to complete the pairs.
Match each object with the characteristic it represents.
a broom handle
the letter T
a sun ray
a cookie crumb
the horizon
rows of seats on
an airplane
ray
line segment
point
line
perpendicular lines
parallel lines
Answer:
a broom handle - line segment
the letter T - perpendicular lines
a sun ray - ray
a cookie crumb - point
the horizon - line
row of seats of airplane - parallel lines
Step-by-step explanation:
a broom handle is straight and has a beginning and end, same goes for a line segment
the letter T has two lines that intersect with one another, these lines are perpendicular
a sun ray is well, a ray
a cookie crumb is small and round, similar to a point
lines do not have a beginning or end, like the horizon line
and the row of seats on an airplane all line up together like lines that are parallel.
Hope this helps :)
Rules for basic algebra needed
A company promises to release a new smartphone model every month.Each models battery life will be 3% longer than the previous models. If the current models battery life is 684.0 minutes , what will the latest models battery life be 7 months from now ?
Using an exponential function, it is found that the latest models battery life will be of 841 minutes 7 months from now.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, considering that the current battery life is of 684 minutes, and it should increase by 3% each month, the equation for the battery life after t months is given by:
[tex]A(t) = 684(1.03)^t[/tex]
Then, in 7 months, it will be given by:
[tex]A(7) = 684(1.03)^7 = 841[/tex]
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What is the value of x?
Help me please, (b)
Answer:Aob is in the center
Step-by-step explanation:You see x and y are parallel across from each other, and u v are the same. A O B is recorded in the center.
Which medical professional or service treats severe medical needs?
emergency room
pregnancy center
medical specialist
general practitioner
Answer:
emergency room
Step-by-step explanation:
well the most severe medical cases come from immediate accidents and for that you go to the emergency room
(correct me if I'm wrong)
Emergency room treats severe medical needs.
Given,
Treatment of severe medical needs.
Now,
Emergency room treats the person having critical illness which requires instant medication .
For example :
If a person met with an accident then the medication must be provided instantly so that the person can survive . Instant medication will be provided under emergency rooms .
Therefore option A is correct .
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2. Find the slope of this line.
Answer:
Answered below
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
You need 2 coordinates from your graph as long as the line you have is completely straight. You have 2 points it is (0,3) & (8,0)
So your y2 is 0
y1 is 3
So your x2 is 8
x1 is 0
Plug in and solve (keep in mind you should be expecting a negative slope since your line is sloping downwards as you advance to the right.
m = (0-3)/(8-0)
m = -3/8
m = slope = -3/8x = -0.375x
Slope is given as a number followed by value x
Eighth grade
CC. 14 Box plots Y Z
Mrs. James, a sixth grade teacher, recorded how many minutes each student reported
reading over winter break.
Time spent reading (min. )
+
0
100
200
300
400
500
What was the upper quartile of the time spent reading?
minutes
Submit
The upper quartile of the time spent reading, as shown in the box plot is: 300.
What is the Upper Quartile of a Data in a Box Plot?In a box plot, the upper quartile is represented by the data point located at the end of the edge of the rectangular box in the box plot.
In the box plot, 300 is the value located at the end of the edge of the rectangular box.
Therefore, the upper quartile of the time spent reading, as shown in the box plot is: 300.
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hello please help with number 14 and 15 thank you 20 points and will be brainliest if its right thank you
14)
The missing value is 42.
15)
The missing value is 17.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
14)
0.5 x ( 8 + ___ ) = 25
We will write in terms of x.
0.5 x (8 + x ) = 25
8 + x = 25/0.5
8 + x = 50
x = 50 - 8
x = 42
15)
165 = 5 x ( 16 + __ )
We will write in terms of x.
165 = 5 x ( 16 + x )
165/5 = 16 + x
x = 33 - 16
x = 17
Thus,
The missing value of x is 42 and 17.
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Witch expression makes the equation true for all values of x? 15x - 15 = 5(?)
A. 3x - 3
B. 3x- 15
C.5x-5
D.12x-1
The expression that will make the algebraic equation true for all values of x is: A. 3x - 3.
What is a True Algebraic Equation?An algebraic equation is an equation where for a value of x, the right side and the left side of the equation must be balanced.
Given the algebraic equation, 15x - 15 = 5(?)
The missing expression, is 3x - 3, because:
15x - 15 = 5(3x - 3)
Open the bracket
15x - 15 = 15x - 15
Both sides are equal.
Therefore, the expression that will make the algebraic equation true for all values of x is: A. 3x - 3.
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A cylinder has a height of 20 inches and a radius of 19 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.?????????HELP PLEASEEEEEEEEEEE
Answer:
22670.8 :D
Step-by-step explanation:
Volume of a cylinder: 3.12(r^2)h
Now lets solve :)
3.14(19^2)20
3.14(361)20
(1133.54)20
22670.8 :)
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A. Dilation
B. Rotation
C. Reflection
D. Translation
Answer:
Reflection
Step-by-step explanation:
Figure 1 was reflected accross the y axis :)
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