The mean of the following data is 8.
To find: Mean of given numbers.
Given data is 5, 7, 9, 11
Mean: It is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Mean=[tex]\frac{Sum of all observations}{Number of observations}[/tex]Here, sum of observations is 5+7+9+11=32
Sum of observations is 32
Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation is the data which is divided by the number of observations in the data
Total number of observation is 4
The number of observations provides information on the total number of values that are contained in the Dataset. This property is intended to provide an indication of the size of a Dataset.
Substituting values in above formula,
=[tex]\frac{32}{4}[/tex]
=8
Therefore, the mean is 8.
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Which statements are true about the x-intercepts of quadratic functions?
All quadratic functions have exactly one x-intercept.
An x-intercept is located at the point on the function where the value of x is 0.
A quadratic function can have up to two x-intercepts.
An x-intercept of a quadratic function is also called a zero of the function.
If x = 0 is an x-intercept of a quadratic function, then (x + a) is a factor of the function.
Answer:
Step-by-step explanation:
The following statements are true:
1. A quadratic function can have up to two x-intercepts.
2. An x-intercept of a quadratic function is also called a zero of the function
Which of the following represents the graph of f(x) = 3x + 1?
Answer:
the answer is the top one
Step-by-step explanation:
the +1 is on the y axis. y=mx+b
mx=3x b= +1 the b is always on the y-axis
hope this helps :))
Diana decided she needed some new friends to play with. She understood that fish were not fun to hang out with, so she bought 3 baby mice and 2 baby pythons for a total cost of $103.50. Mr. Reyes also thought this was a great idea. He bought 3 baby mice and 3 baby pythons for a price of $148.50. Find the price of the mouse and the price of the python.
Step-by-step explanation:
Let m be the price of 1 baby mice
Let p be the price of 1 baby python
Given,
[tex]3m + 2p = 103.50[/tex]
as equation 1.
and
[tex]3m + 3p = 148.50[/tex]
as equation 2
From here we can easily use elimination method
for solving simultaneous equations.
Use Equation 1 - equation 2 to eliminate m to find p.
[tex](3m - 3m) + (2p - 3p) = 103.50 - 148.50 \\ - p = - 45 \\ p = 45[/tex]
Substitute p into equation 1.
[tex]3m + 2(45) = 103.50 \\ 3m + 90 = 103.50 \\ 3m = 103.50 - 90 \\ 3m = 13.50 \\ m = 13.50 \div 3 \\ = 4.50[/tex]
therefore 1 baby mice cost $4.50 and 1 baby python costs $45.
Answer:
Baby python: $45
Baby mouse: $4.5
Step-by-step explanation:
First of all, 3 baby mice and 2 baby pythons cost $103.50. When Mr. Reyes adds a baby python (He bought 3 baby mice and 3 baby pythons for a price of $148.50.) To find the price of a baby snake, you need to subtract both prices. 148.5-103.5=45, so a baby snake costs $45. Now we need to find the price of the baby mice, so we need to remove the snakes. 45*2=90. (2 snakes). 103.5-90=13.5, and 13.5/3=4.5, so a baby mouse costs $4.5.
Thanks
What are the integer solutions to the inequality below? 2 x < 3 x + 2 ≤ x + 6
Answer:
-2 < x ≤ 2
Step-by-step explanation:
mandy buys 36 pens, 36 pencils, 36 rulers and 36 pencil cases
what is the total amount of money spent by mandy
Answer:
Depends on how much each item cost but in this case if everything was a dollar it would cost $144.
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
ASAP PLEASE HELP!!!! WRITE AN EXPRESSION
Answer:
10c + 5b + 420 + 4c
Step-by-step explanation: 10 dollars for each child, 5 dollars per a pair of rubber boots, party room is 420 and 4 is per each child's pizza
Hi! Please help on this question (you have to use the Pythagorean theorem method) and explain the steps *giving brainliest*
A rectangular banner covers an area of 2 7/8ft2. The length of the banner is 3/4ft. What is the width of the banner in ft?
Answer:
Width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft.
Step-by-step explanation:
Area of the rectangular banner = [tex]2\frac{7}{8}[/tex] square feet
= [tex]\frac{23}{8}[/tex] square feet
Area of rectangle is given by,
Area = Length × Width
Length of the banner = [tex]\frac{3}{4}[/tex] feet
From the formula,
[tex]\frac{23}{8}=\frac{3}{4}\times W[/tex]
W = [tex]\frac{\frac{23}{8} }{\frac{3}{4} }[/tex]
= [tex]\frac{23}{8}\times \frac{4}{3}[/tex]
= [tex]\frac{23}{6}[/tex]
= [tex]3\frac{5}{6}[/tex] ft
Therefore, width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft
Consider function g.
g(x) = 5/x - 1 + 2
What is the average rate of change of function g over the interval [-4, 3]?
A. 1/2
B. -1/2
C. -7/2
D. 2
Answer:
Step-by-step explanation: The answer is 1/2. This is on the Odyssey online Algebra 2 mastery test.
The average rate of change of function g over the interval [-4, 3] will be;
⇒ 1/2
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The function g is,
⇒ g (x) = 5 / (x - 1) + 2
And, The interval is,
⇒ [ - 4, 3 ]
Now,
We know that;
The average rate of change of function at interval [a, b] is,
⇒ f (b) - f (a) / (b - a)
So, The average rate of change of function g over the interval [-4, 3] is,
⇒ g (3) - g (- 4) / (3 - (- 4))
Here, The function g is,
⇒ g (x) = 5 / (x - 1) + 2
Put x = 3;
⇒ g (3) = 5 / (3 - 1) + 2
= 5/2 + 2
= 4.5
Put x = - 4;
⇒ g (-4) = 5 / (- 4 - 1) + 2
= 5 / - 5 + 2
= - 1 + 2
= 1
So, WE get;
The average rate of change = (4.5 - 1) / 7
= 3.5 / 7
= 1/2
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The half-life of a radioactive substance is 15 years. Determine algebraically, to the nearest year, how long it will take for 1/10 of this substance to remain.
Please help me with this.
Find the slope of the linear equation 2y = -18x + 10
Answer:
m= -9
Step-by-step explanation:
Hope this helps
help me please I need helpp
Answer:
172.8 = 32 x 5.40
Step-by-step explanation:
Story is The Crystal Ball Brainliest for correct answers
Answer:
C.
Step-by-step explanation:
Though the story is also about A, B, and D, the overall story is about C. The story begins with the enchanter turning the eldest and second eldest brothers into an Eagle and Whale, though the youngest escapes. He then goes to the castle to free the cursed princess, and to do so he needs to find a crystal ball. If I remember correctly, the ball will also save the brothers.
ITS C
for the iready question it is C youngest brother tryna find the balls, i got it right
What is the distance between (4, 3) and (7, 3)?
Answer:
3 units
Step-by-step explanation:
Alfonso scored 18 points during his last basketball game,which was 40% of the points the entire team.
the entire team score________points.
Answer:
45 points
Step-by-step explanation:
40/100=18/x equation
100×18=1800 multiply
1800÷40=45 divide
x=45 points
Answer:
48 points
Step-by-step explanation:
I took the test
A ship is 130 m away from the centre of a barrier that measures /
180 m from end to end. What is the minimum angle that the
boat must be turned to avoid hitting the barrier?
Answer:
Step-by-step explanation:
50 meters away
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer: Strange? Formulas of spheres dont have height. So with height is 1607,68 and without the height its 268.08
Step-by-step explanation:
301,71 cm ^3
hope this helps have a good day or night
Given m||n, find the value of x.
Answer:
The answer would be X=2 .
Step-by-step explanation:
Hope it helps u :)
Please look at the picture I have been stuck on this question and I would really appreciate it if you can help me thank you
Answer:
52 feet
Step-by-step explanation:
distance is 6 from the question
6 = 5/6 √h
6/5 (6) = √h
36/5 = √h
7.2 = √h
7.2x7.2 = h
h = 51.84
this is Apx huh?
what is the volume to the composite figure.
Answer:
462 [tex]cm^{3}[/tex]
Step-by-step explanation:
Rectangular Prism: 7 x 8 x 6 = 336
Triangular Prism: (0.5 x 7 x 6) x 6 = 126
336 + 126 = 462
Write the word sentence as an inequality. A number z is fewer than 3/4.
Answer:
[tex]z<\frac{3}{4}[/tex]
Step-by-step explanation:
find the slope between the given two points
Slope can be found using the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
7) Let:
[tex](x_1 , y_1) = (-1 , -11)\\(x_2 , y_2) = (-6 , -7)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{-7 - (-11)}{-6 - (-1)} = \frac{-7 + 11}{-6 + 1} = \frac{4}{-5} = -\frac{4}{5}[/tex]
Slope: [tex]-\frac{4}{5}[/tex]
8) Let:
[tex](x_1 , y_1) = (-7 , -13)\\(x_2 , y_2) = (1 , -5)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{-5 - (-13)}{1 - (-7)} = \frac{-5 + 13}{1 + 7} = \frac{8}{8} = 1[/tex]
Slope: [tex]1[/tex]
9) Let:
[tex](x_1 , y_1) = (-5 , 3)\\(x_2 , y_2) = (8 , 3)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{3 - (3)}{8 - (-5)} = \frac{0}{8 + 5} = \frac{0}{13} = 0[/tex]
Slope: [tex]0[/tex]
10) Let:
[tex](x_1 , y_1) = (3 , -2)\\(x_2 , y_2) = (15 , 7)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{7 - (-2)}{15 - 3} = \frac{7 + 2}{15 - 3} = \frac{9}{12}[/tex]
Simplify the slope. Divide common factors from both the numerator and denominator:
[tex](\frac{9}{12})/(\frac{3}{3} ) = \frac{3}{4}[/tex]
Slope: [tex]\frac{3}{4}[/tex]
11) Let:
[tex](x_1 , y_1) = (-5 , -10)\\(x_2 , y_2) = (-5 , -1)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{-1 - (-10)}{-5 - (-5)} = \frac{-1 + 10}{-5 + 5} = \frac{9}{0} =[/tex] undefined.
Slope: undefined
12) Let:
[tex](x_1 , y_1) = (-4 , -2)\\(x_2 , y_2) = (-12, 16)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{16 - (-2)}{-12 - (-4)} = \frac{16 + 2}{-12 + 4} = \frac{18}{-8} = -\frac{18}{8} = ((-\frac{18}{8})/( \frac{2}{2}) = -\frac{9}{4}[/tex]
Slope: [tex]-\frac{9}{4}[/tex]
~
Included picture
Question is not hard so please answer correctly
What is the slant height of a square pyramid that has a surface area of 319 square feet and a side length of 11 feet?
9 ft
10 ft
11 ft
8 ft
Answer:
the 319 square feet and side length of 11 feet is 10ft
Use the greatest common factor and the distributive property to write equivalent expressions in factored form.
13ab + 15ab =
Answer:
ab(28) or 28ab
Step-by-step explanation:
13ab + 15ab = 28ab
Answer:
ab(28) or 28ab
Step-by-step explanation:
Evelyn is going to invest $3,500 and leave it in an account for 16 years. Assuming the
interest is compounded quarterly, what interest rate, to the nearest tenth of a
percent, would be required in order for Evelyn to end up with $6,200?
Answer:3.6%
Step-by-step explanation:
What is 714.29+98.65
Answer:
812.94
Step-by-step explanation:
make sure to line up the decimal to each other to make sure the decimal is in the right place
PLEASE PLEASE SOMEONE HELP WITH THIS QUESTION!! 15 POINTS AND I WILL AWARD BRAINIEST!!!!
Answer:
x=14
Step-by-step explanation:
complementary=90 degrees
4x+2x+6=90
6x=84
x=14
Please answer this quick
I'm sorry but i can't really see the picture
Answer:
1/4
Step-by-step explanation: