Step-by-step explanation:
Square root is equivalent to 1/2 power:
[tex] {(9 {a}^{16} {b}^{36} )}^{ \frac{1}{2} } [/tex]
Square root of 9 is 3. Multiply the exponents by 1/2 to get:
[tex] 3{a}^{8} {b}^{18} [/tex]
The test scores for the Chapter 5 test in Algebra I were:
75.95.90.95,60,95,75,95,90.
Question:
a. Find the mean, median, mode, and range of the data.
b. Which measure best describes the set of data? Why?
c. If test scores of 65 and 75 were added to the set, what would happen to the mean?
es )))
Answer Question 1: Mean literal number 85.55556 Not sure if there allowing you to round to the nearest tenth of digit
Median 90
Mode 95
Range 35
Question 2: Median is the best way because it gives you the overall average of a set of numbers.
Question 3: The mean would change because if you are adding new numbers you have to recount the mean meaning there is now a new average.
PLEASE HELP ASAP!!!!!!!!
Answer:
The answer is 6 rides that cost $26.
Step-by-step explanation:
Plan A: $20 plus $1 per ride.
Plan B: $8 plus $3 per ride.
Turn that into a linear equation to graph.
Plan A: [tex]y=1x + 20[/tex]
Plan B: [tex]y=3x + 8[/tex]
The x-axis is rides and the y-axis is $.
On the graph appears that it takes 6 rides for Plan A and B to be the same a cost of $26.
what is the mean of 95 and 45 and 37 and 82 and 90 and 100 and 91 and 78 and 67 and 84 and 85 and 85 and 82 and 91 and 93 and 92 and 76 and 84 and 100 and 59 and 92 and 77 and 68 and 88
Answer:
The mean is 80.875 or 81 rounded
Step-by-step explanation:
To find the mean of any set of numbers, you need to get the values added up together and the #values (how much numbers there are).
Formula setup: amountaddedup/#numbers
✔ When we plug in the values in the formula, you will get 80.875.
The mean of the given data is 80.75.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given data is 95, 45, 37,82 ,90,100, 91 ,78 , 67 ,84 ,85 ,85 , 82 , 91 , 93 , 92,76, 84, 100, 59 , 92, 77 , 68 and 88
Mean = Sum of the observations/ Total number of observation.
Sum of the observations = 95+ 45+37+82+90+100+91+78+67+84+85+85 +82 +91+93+92+76+84+100+59+92+77+68+88
=1941
Total number of observation= 24
Mean = 1941/24
=80.875
Hence, the mean of the given data is 80.75.
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ7
A pizza shop has available toppings of anchovies, bacon, mushrooms, onions, sausage and olives. How many different ways can a pizza be made with 3 toppings?
There are 56 different ways of making pizza with 3 toppings.
8 pizzas will made with 3 different toppings
Which equation below would be parallel to the line y= 2x+5 and pass through the point (3,1)
-11x - 72 = 84 + x
And I also need to do the check part
Answer:
Step-by-step explanation:
-11x - 72 = 84 + x
combine like terms on opposite side of =
(-11x )+ (-1x) = (84) + (72)
-12x = 156
divide both sides by -12 to isolate x
-12/-12 = 156/-12
x = -13
insert (-13) for x
(-11 * -13) -72 = 84 + (-13)
71 = 71
equality means its right
60% off $69.80. what is the sale price?
Answer:
Step-by-step explanation:
60 percent of $69.80 = $41.88
Answer:
27.92$
SolveConvert 60% into its decimal form.(0.6)
When finding the part of the whole number and percent, you must multiply.
[tex]0.6 * 69.80 = 41.88[/tex]
Now, to find the actual price, subtract 60% of 69.8(41.88) by 69.8
[tex]69.8 - 41.88 = 27.92\[/tex]
Therefore, the item is on sale for 27.92$
Questions?Ask in the comments.
is there any bias in the following survey question explain. So you prefer delicious chocolate ice cream or boring ice cream?
Answer:
yes, contains bias
Step-by-step explanation:
surveyor included their own opinions on chocolate ice cream being delicious and vanilla ice cream being boring.
The following scatter plot represents the height of a basketball in seconds during a free throw shot.
(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Why is a quadratic model more appropriate for this data? Explain your answer in complete sentences.
(b) Use a graphing calculator or other technology to write a function that better models the data in the scatter plot. Round each term to the nearest ten-thousandth.
The function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic. Then the quadratic equation is y = -1.25x² + 7.35x + 3.2.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The following scatter plot represents the height of a basketball in seconds during a free throw shot.
(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Then the function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic.
(b) Write a function
We know that the quadratic equation is given as ax² + bx + c = y
This will pass through the points (1, 9.3), (2, 12.9), and (3, 14). Then we have
[tex]\rm a + b + c = 9.3 \ \ \ \ \ \ \ ...1\\\\4a + 2b + c = 12.9 \ \ \ ...2\\\\9a + 3b + c = 14 \ \ \ \ \ \ ...3[/tex]
On solving the equations 1, 2, and 3. Then we have
a = -1.25, b = 7.35, and c = 3.2
Then the quadratic equation will be
y = -1.25x² + 7.35x + 3.2
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
#SPJ1
What is the answer to −(3x−9)
Determine the next step for solving the quadratic equation by completing the square.
0 = –2x2 + 2x + 3
–3 = –2x2 + 2x
–3 = –2(x2 – x)
–3 +
= –2(x2 – x + )
StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2
StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2
The two solutions are
Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction.
[tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2[/tex]
the idea behind the completion of the square is simply using a perfect square trinomial, hmmm usually we do that by using our very good friend Mr Zero, 0.
if we look at the 2nd step, we have a group as x² - x, hmmm so we need a third element, which will be squared.
keeping in mind that the middle term of the perfect square trinomial is simply the product of the roots of "a" and "b", so in this case the middle term is "-x", and the 1st term is x², so we can say that
[tex]\stackrel{middle~term}{2(\sqrt{x^2})(\sqrt{b^2})~}~ = ~~\stackrel{middle~term}{-x}\implies 2xb~~ = ~~~~ = ~~-x \\\\\\ b=\cfrac{-x}{2x} \implies b=-\cfrac{1}{2}[/tex]
so that means that our missing third term for a perfect square trinomial is simply 1/2, now we'll go to our good friend Mr Zero, if we add (1/2)², we have to also subtract (1/2)², because all we're really doing is borrowing from Zero, so we'll be including then +(1/2)² and -(1/2)², keeping in mind that 1/4 - 1/4 = 0, so let's do that.
[tex]-3~~ = ~~-2\left[ x^2-x+\left( \cfrac{1}{2} \right)^2 ~~ - ~~\left( \cfrac{1}{2} \right)^2\right]\implies -3=-2\left(x^2-x+\cfrac{1}{4}-\cfrac{1}{4} \right) \\\\\\ -3=-2\left(x^2-x+\cfrac{1}{4} \right)+(-2)-\cfrac{1}{4}\implies -3=-2\left(x^2-x+\cfrac{1}{4} \right)+\cfrac{1}{2} \\\\\\ -3-\cfrac{1}{2}=-2\left(x^2-x+\cfrac{1}{4} \right)\implies -\cfrac{7}{2}=-2\left(x-\cfrac{1}{2} \right)^2\implies \cfrac{7}{4}=\left(x-\cfrac{1}{2} \right)^2[/tex]
[tex]~\dotfill\\\\ \pm\sqrt{\cfrac{7}{4}}=x-\cfrac{1}{2}\implies \cfrac{\pm\sqrt{7}}{2}=x-\cfrac{1}{2}\implies \cfrac{\pm\sqrt{7}}{2}+\cfrac{1}{2}=x \implies \cfrac{\pm\sqrt{7}+1}{2}=x[/tex]
Answer:
see picture
Step-by-step explanation:
-1/2
1/4
1/2
Find the distance between the pair of points. Round
your answer to the nearest tenth, if
necessary. (4, 11), (- 9, 8)
Answer:
13. 3
Step-by-step explanation:
Given Points:
(x1= 4, y1 = 11), (x2= - 9, y2 = 8)
Distance Formula:
d² = (x2 -x1)² + (y2 -y1)²
Substitute and Calculate:
d² = ( -9 -4)² + ( 8 -11)²
d² = (-13)² + (-3)²
d = √(169+9)
d = √178
d = 13.34166406 round to the nearest tenth
d = 13. 3
Lois rented a car for $54.00 a week plus $0.15 for each mile the car is driven. What is the greatest number of miles Lois can drive the car in one week if she wishes to spend at most $140.00?
Answer:
2 weeks
Step-by-step explanation:
54.00 + 0.15 = 54.15
140/54.15 = about 2.5
Since she can only spend $140, she has to round down, so the answer is 2 weeks.
Find the surface area of the cylinder
Ryan has 3 1/2 pints of milk. He uses 1 1/2 cups of milk to make Recipe A and 1 1/2
cups of milk to make Recipe B.
Answer: He will have ½ pints of milk left
Step-by-step explanation: 1½ + 1½ =3
3½-3=½
I NEED HELP QUICK!!!!
Answer:
45 miles
Step-by-step explanation:
Giving Information.
From Northville To Newberry is 18 inches.
2 in -> 5 miles
The inches cancel each other out leaving it miles.
[tex]18 inches*\frac{5 miles}{2 inches} = 45 miles[/tex]
Answer: 45 miles.
Step-by-step explanation: 2 in -> 5 miles, 18 inches.
while waiting for a video game to download, you notice that 30\%kilobytes have been downloaded so far.
How many kilobytes have been downloaded so far?
Step-by-step explanation:
30/100*32000=
960,000/100
=9,600 kilobytes.
A die was rolled 40 times. The results of each roll is given in the table below. If the die is rolled
once more, find the experimental and theoretical probability for each result.
The experimental and theoretical probability for each result are:
Theoretical Experimental
P(5) 1/6 7/40
P( 1 or 6) 1/3 7/20
P(no more than 4) 2/3 21/40
P(greater than 2) 2/3 7/10
What is the probability?Probability determines the chances that an event would happen. Experimental probability is the probability of an event happening based on the result of an experiment that has been carried out multiples time.
Theoretical probabilities:
P(5) = number of sides with 5 / total number of sides = 1/6
P( 1 or 6) = number of sides with 1 / total number of sides + number of sides with 6 / total number of sides = 1/6 + 1/6 = 1/3
P(no more than 4) = number of sides that is no more than 4 / total number of sides = 4/6 = 2/3
P(greater than 2) = number of sides greater tha 2 / total number of sides = 4/6 = 2/3
Experimental probabilities:
P(5) = number of times there was a result of 5 / total number of times the die was rolled = 7/40
P( 1 or 6) = (number of times there was a result of 1 / total number of times the die was rolled) + (number of times there was a result of 6 / total number of times the die was rolled )
2/40 + 12/40 = 14/40 = 7/20
P(no more than 4) = sum of results no more than 4 / total number of times the die was rolled = ( 2 + 10 + 5 + 4) = 21/40
P(greater than 2) = sum of results greater than 2 / total number of times the die was rolled = (7 + 12 +5 + 4) / 40 = 28/40 = 14/20
To learn more about experimental probability, please check: https://brainly.com/question/23722574
#SPJ1
¿Cual es la medida de < X?
Answer:
49°
Step-by-step explanation:
∠XOZ = 90°
∠XOV = 41°
90 - 41 = x°
49 = x°
Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much would an order of 1 hamburger and 2 orders of fries cost?
The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,
[tex]3x+2y=12.5[/tex]
Solve this equation as,
[tex]2y=12.5-3x\\y=\dfrac{12.5-3x}{2}[/tex] .....1
Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,
[tex]2x+4y=13[/tex]
Put the value of y in this equation and solve it further,
[tex]2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3[/tex]
Put this value of x in equation 1,
[tex]y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75[/tex]
The cost of an order of 1 hamburger and 2 orders of fries is,
[tex]C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5[/tex]
Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
Learn more about the system of equations here;
https://brainly.com/question/13729904
#SPJ1
PLEASE FAST!!!! WILL GIVE BRAINLIEST!!!
Answer:
its B , 4 11/20
Step-by-step explanation:
Answer:
The 2nd Answer Choice
Step-by-step explanation:
You make sure that the fractions have the same denominator, and then you subtract them.
What is the slope below?
Answer:
8/1
Step-by-step explanation:
To find slope you would do:
rise/run
Up and down is the rise
Left and right is the run
In your problem it goes up 8 and right 1
Hugo received $100 dollars for
birthday which he uses to make an initial deposit in
a saving account. He gets an allowance of $20 per week which he deposits in his savin
account. Write an equation to represent the balance of his saving account over time.
Which amount represents the slope?
Which amount represents the y-intercept?
The equation would be written as:
y=
vx+
The x in this equation represents:
The y in this equation represents
Answer:
i believe its 100*20x
Step-by-step explanation:
please no h8 i tried
I need help with this
Answer:
B would be my best answer, not sure tho
Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?
Answer:
1/13
Step-by-step explanation:
There are 4 aces in the 52-card deck so prob = 4/52 = 1/13
HELP PLS I NEED THIS ASAP WOULD GIVE 15 PTS AS LONG AS YALL HELP
Answer:
10
Step-by-step explanation:
This is just a prediction but given that it lands on blue more times than any other color i would say 10 out of 16
Below is the graph of equation y=|x+2|-1. Use this graph to find all values of x for the given values of y. y>0
For the given absolute value function, we have that:
y > 0 in the intervals (-∞, -3) and (-1, ∞)
y < 0 in the interval (-3, -1)
y = 0 for x = -3 and x = -1.
When the function is positive?
The function is positive when the graph is above the horizontal axis.
Here, we can see that the intervals where the graph is above the horizontal axis is are (-∞, -3) and (-1, ∞)
When the function is negative?
The function is negative when the graph is below the horizontal axis. In this case, we can see that the only negative interval is (-3, -1)
When the function is zero?
The function is equal to zero when it intercepts the x-axis, in this case, the function is zero for x = -3 and x = -1
If you want to learn more about absolute value functions, you can read:
brainly.com/question/3381225
Still stuck? Get 1-on-1 help from an expert tutor now.
f(x) = -7x - 19
g(x) = 0.75x + 4.25
x=
Answer:x=-14.75
Step-by-step explanation:
f(x) = -7x - 19=-19
g(x) = 0.75x + 4.25 =4.25
what is the area of this figure?
Read this statement and determine if it will result in data with variability.
"The number of people who shop at grocery stores each day."
Select one:
No, the data will not yield variability.
Yes, the data will yield variability.
The statement "the number of people who shop at grocery stores each day will yield variability
What is variability of data?This is the ability of a data to change. It determine the measure at which data points diverge that is far from each other.
For the number of people who shop at grocery stores each day." will yield variability since different set of people from different location to patronize the grocery shop.
The statement "the number of people who shop at grocery stores each day will yield variability
Learn more on variability here: https://brainly.com/question/6499629
#SPJ1