How to get the mode:
- To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.
{3, 4, 5, 5, 6, 7, 10, 11, 12} => 5
How to get mean:
- The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.
(3 + 12 + 11 + 7 + 5 + 5 + 6 + 4 + 10) / 9
=> 63 / 9
=> 7
How to get median:
- To find the median, first order the numbers from smallest to largest. Then find the middle number
3, 4, 5, 5, 6, 7, 10, 11, 12
So the middle number is 6
------------------------------------------------
Mean: 7
Median: 6
Mode: 5
Which equation represents a line parallel to the line y=1/5x + 4
A. x + 5y = 25
B. 5x + y= 3
C. 5x - y= 7
D. 5y - x= -20
Answer:
d
Step-by-step explanation:
5y-x=-20
5y=x-20
y=1/5x-20
Solve for x. What is the value of
Pls help me
Answer
x = 21
HOS = 68
Explanation
The arrows beside x point to 12 and 6, which is a straight angle. Straight angles always add up to 180 degrees.
So that means 3x+5 plus 5x+7 must equal 180 degrees.
3x+5+5x+7 = 180
Combine like terms.
8x+12 = 180
Subtract 12 from both sides.
8x = 168
x = 21
But BE CAREFUL.
The problem is asking for the angle HOS.
To do this, just substitute what you got for x into the expression.
3(21)+5 = 68
The value of HOS is 68 degrees.
Please help me with these questions I’ll give you brainliest if you help with all questions
Answer:
sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorryStep-by-step explanation: i dont kno w
Evaluate the following expression.
2⁵ + (10 - 7)⁴ + 6
Answer:
the answer is 119 hope this helps
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
2 to the power of 5 is 32 and 10 - 7 = 3 and 3 to the power of 4 is 81 and 81 + 32 is 113 and 113 + 6 = 119
1. VOCABULARY Copy and complete: 'Two polygons are similar if
corresponding angles are ? and corresponding side lengths are ?.
Answer:
?????????????????/?
Step-by-step explanation:
show if the following numbers are rational 1¾
Answer:
Rational!
Hope that helps!
Step-by-step explanation:
Angles 1 and 2 are complementary. If m<1 = 56°, what is the measure of <2?
Answer:
34°
Step-by-step explanation:
complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.
A fair coin is flipped three times. Let X be the number of heads observed. (a) Give both the possible values and probability mass function of X. (b) Find P(X ≥ 1) and P(X > 1). (c) Compute E[X] and V ar(X).
Answer:
a)
The possible values are 0, 1, 2 and 3.
The probability mass function of X is:
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
b)
[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]
c) E(X) = 1.5, Var(X) = 0.75
Step-by-step explanation:
For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
A fair coin is flipped three times.
This means that [tex]n = 3[/tex]
Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]
a) Give both the possible values and probability mass function of X.
The possible values are from 0 to n, so 0, 1, 2 and 3.
The probability mass function is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]
[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(b) Find P(X ≥ 1) and P(X > 1).
[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]
[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]
(c) Compute E[X] and Var(X).
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]
5/6x+2/3x+4=7
What is x and I REALLY REALLY NEED AN EXPLANATION
Why is a data point with an x-coordinate of 0 a good point to use when creating a trend line for a data set? The graph shows the altitude of a weather balloon over time. The trend line passes through the points (0,481) and (10,39,). Write the equation of a trend line for the data shown in the graph. After how many minutes is the balloon at an altitude of 454.6 feet above sea level?
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
A linear equation is given by:
y =mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the altitude of the balloon at time x.
Given that a trend line passes through the point (0,481) and (10,39), the equation of the trend line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]
At 454.6 ft:
454.6 = -44.2x + 481
-26.4 = -44.2
t = 0.6 minutes
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
Find out more at: https://brainly.com/question/13911928
This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?
Answer:
$2690.28
Step-by-step explanation:
2862 decrease 6% =
2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28
Answer:
2700
Step-by-step explanation:
106%-> 2862
100%->2700
HELP HELP PLSSSSSSSSS
Answer:
9) c) 1
10) c) 215
Step-by-step explanation:
Step:1
Given that the expression
[tex]\frac{31+r}{2} - \frac{9r-5}{4}[/tex]
Put r = 9
= [tex]\frac{31+9}{2} - \frac{9(9)-5}{4}[/tex]
= [tex]\frac{40}{2} -\frac{76}{4}[/tex]
= 20 - 19
=1
Step(ii):-
Given that
[tex]\frac{5(4r-16)}{5} +13(3r-12)[/tex]
Put r = 9
= [tex]\frac{5(4(9)-16)}{5} +13(3(9)-12)[/tex]
= 20 + 13(15)
= 215
(1). There are always 4 bars of chocolates,
left when box of chocolates shared
equally among 8, 10, or 12 children.
Find the smallest number of chocolates
in the box,
Answer:
The smallest number of chocolates in the box is 124.
Step-by-step explanation:
There are always 4 bars of chocolates left in the box when they are share equally among 8, 10, or 12 children.
This means that the smallest number of chocolates in the box is 4 added to the least common multiple of 8, 10 and 12.
LCM(8,10,12).
We factore them by prime factors until all are 1. So
8 - 10 - 12|2
4 - 5 - 6|2
2 - 5 - 3|2
1 - 5 - 3|3
1 - 5 - 1|5
1 - 1 - 1
So
lcm(8,10,12) = 2*2*2*3*5 = 8*15 = 120
Adding 4: 120 + 4 = 124
The smallest number of chocolates in the box is 124.
I NEED IT KNOW PLEASEEE
Answer:
360
Step-by-step explanation:
pls SOLVE <3l!!
Determine when the cost of the two services will be the same amount, and what the price will be.
The Strauss family is deciding between two lawn-care services. Green Lawn charges a $42 startup fee plus
$28 per month. Yard Guard charges a $24 startup fee plus $34 per month.
After
months, a customer would have paid either company $
Answer:
the answer is 159 dollars in total
Step-by-step explanation:
good luck guys
Please help me someone
Answer:
A
Step-by-step explanation:
PV(1+i)^n
2000(1+.015)^x
2000(1.015)^x
A
An it that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
Help me ...................
Item 2
Which of the following is not another way of expressing 88 out of 100?
22/25
0.088
88%
0.88
Answer:
The answer is B: 0.088
Step-by-step explanation:
22/25, multiply both sides by 4 to get 88/100
88% is 88/100
0.88 is 88/10
4[1 2 -1 5]
Someone help me with this bs
Answer:
-12
Step-by-step explanation:
12 - 15 = -3
4 ( -3 )
= -12
Answer: -12
Step-by-step explanation:
We have 4[12 -15]
Next, we have subtract in the parentheses since it's part of PEDMAS
12-15
After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.
12- 15= -3
And Lastly, we multiply.
4x -3= -12
Hope this helps!
what is 5% of 20? I need help
Answer:10
Step-by-step explanation:
Write an expression showing 5 less than the number
Answer:
5 < x (number)
Step-by-step explanation:
2 out of every 7 come on a weekend. what percentage of days come on a weekend?
determine the answer to the nearest tenth of a percent
Answer:
0.30%
Step-by-step explanation:
Question:
If the nearest percentage is 0.30% what’s the nearest tenth of a percent?
Write a numerical expression to represent the phrase the quotient of 12 and the product of 4 and 5
Answer:
[tex]\frac{12}{4*5}[/tex]
Step-by-step explanation:
the quotient of 12 and the product of 4 and 5 can be written in mathematical form as:
12 / (4 * 5) or [tex]\frac{12}{4*5}[/tex]
Find the area of the shape below.
Hint: Find the area of the two triangles and the square and add them together.
Question 3
Describe the function between x=-4 and x = -1.
Answer:
liner increasing
Step-by-step explanation:
720 gallons/day = ______ gallons/hour
Answer:
30
Step-by-step explanation:
just divide 720 by 24 (Hours in a day)
mark as brainliest please.
Help me pls pls pls
Answer:
F, J, K
Step-by-step explanation:
The other choices are regarded as expressions not equations, in which you can find the value of the the given variable.
Sophie found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters. A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.
Total Volume = B h + one-third B h = 4 (21) (28) + one-third (21) (28) (30) = 2,352 + 5,880 = 8,232 cubic millimeters.
What mistake, if any, did Sophie make?
Sophie determined the volume correctly.
Sophie used the wrong formula for the total volume.
Sophie used the wrong height for the pyramid.
Sophie did not apply the order of operatio
Answer:
(C) Sophie used the wrong height for the pyramid.
Step-by-step explanation:
she should have subtracted 4 from 30 because that was apart of the prism
The total volume is 7448 cubic millimeters. Sophie has made mistake in copying height of pyramid.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.
Volume of rectangular prism = Length×Width×Height
= 28×21×4
= 2352 cubic millimeters
A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.
Volume of a rectangular pyramid = (lwh)/3
= (28×21×26)/3
= 15288/3
= 5096 cubic millimeters
Total volume = 2352+5096
= 7448 cubic millimeters
Hence, Sophie has made mistake in copying height of pyramid.
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https://brainly.com/question/13338592.
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A group of 4 friends shares 2 packs of gum equally. There are 8 pieces of gum in
each pack. Which set of equations shows how many pieces of gum, g, each
friend receives?
may be the answer is :4g-2=8 ^-^
but donot depend in this answer it's not sure okay
