Answer:
x = -14
Step-by-step explanation:
-9 -5 = -14
Find the mode, median, mean and range for this set of data.
Number of Hours Slept: 8.5, 7,6.75,5.75, 8.75,6.25,7,7.5, 4.25
Central Tendency is the statistical measure that can be used to represent all the distribution or a dataset using a single value. The most common measures of central tendency are the mode, median, and mean.
How to determine this
Mode is the value that has the highest frequency in a given data set.
So,
8.75 the highest frequency in the data set
Mode = 8.75
Median is the middle of a sorted list of numbers when arranged in ascending order.
So,
4.25, 5.75, 6.25, 6.75, 7, 7, 7.5, 8.5, 8.75 in ascending order
Median = 7
Mean is the average or the most common value in a given set of values.
Mean = 8.5 + 7 + 6.75 + 5.75 + 8.75 + 6.25 + 7 + 7.5 + 4.25/9
Mean = 61.75/9
Mean = 6.8611
Mean = 6.86 to 2 decimal place
Range is the difference between the highest value and lowest values.
Range = Maximum value - Minimum value
Range = 8.75 - 4.25
Range = 4.5
Read more about Central Tendency
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Write an equation to represent the following statement.
33 is 15 less than k.
Answer:
33=k-15
Step-by-step explanation:
I hope this helps:)
2. At the local park, there is an annual fair that
charges $1.50 for children and $4 for adults. On
Friday, the fair sold 220 tickets and collected
$550. How many children and how many
adults attended the fair?
Answer:
132 children and 88 adults
Step-by-step explanation:
let x represent the amount of kids and y represent the amount of adults.
since the problem says there was a total of 220 people at the fair an equation can be made
x+y=220
the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:
1.5x + 4y = 550
using the equations we can make this systems of equations:
1.5x + 4y =550
x + y =220
solve the systems of equations by subracting y on both sides of th bottom equation:
x=220-y
since x is equivant to 220-y it can be substitued for x in the first equation to make this:
1.5(220-y)+4y =550
--solve for y--
y=88 - there were 88 adults
substute 88 for y in the second equation
x+88=220
--solve for x--
x=138 - there were 132 children
The average of the first 3 numbers was 28. The average of the next 12 numbers was 38. What was the overall average of the numbers?
***NO SPAM, PLEASE!!!!!!***
Answer:
ther overall average would be 36
Step-by-step explanation:
Solve for m.
3m = 15
A. m = 45
B. m = 35
C. m = 12
D. m = 5
Answer:
D.
Step-by-step explanation:
Have a Nice Day
Answer:
it's D.
Step-by-step explanation:
The owner of a flower shop on H street sells 28 roses for $140. What is the cost in dollars per rose?
Answer:
$5 ( sorry if it is incorrect)
Step-by-step explanation:
On the first day it was posted online, a music video got 250 views. The number of views that the video got each day increased by 16% per day. How many total views did the video get over the course of the first 12 days, to the nearest whole number?
Using an exponential function, it is found that the video got 8,314 total views over the course of the first 12 days.
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 growtn rate, as a decimal.On the first day it was posted online, a music video got 250 views, and the number increased by 16% a day, hence the A(0) = 250, r = 0.16, and the equation is given by:
[tex]A(t) = 250(1.16)^t[/tex]
The total amount over the first 12 days is given by:
[tex]T = \int_{0}^{12} A(t) dt[/tex]
[tex]T = \int_{0}^{12} 250(1.16)^t dt[/tex]
[tex]T = 250\frac{(1.16)^t}{\ln{1.16}}|_{t = 0}^{t = 12}[/tex]
Applying the Fundamental Theorem of Calculus:
[tex]T = 250\frac{(1.16)^{12}}{\ln{1.16}} - 250\frac{(1.16)^0}{\ln{1.16}}[/tex]
T = 8314.
The video got 8,314 total views over the course of the first 12 days.
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Jonathan's mom is buying him a new PS5 for his birthday. The expression 0.07p represents the sales tax on the system price, p. Write an expression in terms of p to represent the total amount that Jonathan's mom spends on the system, including tax.
Answer:
p + 0.07p
Step-by-step explanation:
tax is a compulsory sum levied by the government on goods and services. taxes increases the price paid for products
If sales tax = 0.07p, total price paid increases by 0.07p
total price paid = price of the good + tax
total amount spent by Jonathan's mom = p + 0.07p
An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
y=
y=
\,\,x^{2}+1
x
2
+1
Answer:
numbers are fun
Step-by-step explanation: teacher
FREEEE POINTS REALLY
Answer:
x is less than 46
x<46°
Step-by-step explanation:
............
38% of y is 494, what is y?
15% of c is 49, what is c?
Answer:
y= 1,300
c= 326.67
Step-by-step explanation:
What is m∠BAC.
............
Answer:
37 degrees
Step-by-step explanation:
1. m∠CBA = 71+45 = 116 degrees
2. m∠CBA = m∠CDA because of the quadrilateral property of opposite sides.
3. m∠CBA + m∠CDA = 2*116 = 232.
4. Total angle measure of a quadrilateral is 360 degrees, so m∠BAD + m∠BCD = 360-232 = 128 degrees.
5. m∠BAD = m∠BCD = 128/2 = 64 degrees
6. m∠BAC = m∠BAD - m∠CAD = 64 - 27 = 37 degrees
5. If p(x) = 2^2, what is the value of p(3) - P(2) ?
1) 1
2) 2
3) 6
4) 4
Independent Practice
Now practice solving some problems.
Find the x- and y-intercepts of the equation.
–6x + 3y = –9
A.
− 3 ; 3/2
B.
3/2; −3
C.
−3/2; 3
D.
3; −3/2
Answer:
B.
3/2; −3
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s): ( 3 /2 , 0 )
y-intercept(s): ( 0 , − 3 )
Amy is baking her famous pies to sell at the Town Fall Festival. She 1 point
uses 32 /4 cups of flour for every 1/2 batches of pie that she makes. How
many cups of flour would Amy use for 7 batches of pie?
A. 21 1/2 cups
B. 112 7/8 cups
C. 150 72 cups
D. 225 34 cups
Answer:
Step-by-step explanation:
A
Which of the following functions is not linear?
Answer:
third bubble, y = (1/3)^x
Step-by-step explanation:
Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x = 5[/tex] ---- 5-hour shift
Required
The expected earnings
The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.
Take for instance, the equation is:
[tex]y = 10x + 2[/tex]
The expected earnings will be:
[tex]y = 10*5 + 2[/tex]
[tex]y = 50 + 2[/tex]
[tex]y = 52[/tex]
Expected Earnings = $52
How do new substances form?
Answer:
A chemical reaction happens when substances break apart or combine to form one or more new substances.
Step-by-step explanation:
New substances form when bonds break and new bonds form. The chemical properties of the new substances are different from those of the original substances
The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean.
What is the variance of the data set?
2
4
8
16
. im only asking because someone asked it and the answers said 2. like no hunny it was 16 and i gatta help out the future ppl who are chea- i mean in need of help . follow mw on insta lol ms.roslynn
Answer:
16
Step-by-step explanation:
can someone please help me with this?? im trying to correct answers and i need help
Line CB is tangent to circle A at point B. The measure of angle CBA is ___ degrees.
Answer:
90° is correct answer. :)
Im being asked to put this in simplest form can anyone help me?
What is 0.57 (7 repeating) expressed as a fraction in simplest form?
Answer:
57/100
Step-by-step explanation:
look it up
Find the radius r of the circle. Round your answer to the nearest tenth.
Answer:
76.2 yd
Step-by-step explanation:
180 ÷30 = 6
12.7 × 6 = 76.2
Use elimination to solve the system of equations. what is x and y
3x – 2y = 24
x + 2y = 48
Answer:
X=7 Y=5
Step-by-step explanation:
A car lot has both used and new cars. If 86% of the cars on the lot are new and 45% of the cars are new and have a sunroof, find the probability of randomly choosing a car with a sunroof, given that it is a new car
Answer:
0.523
Step-by-step explanation:
Let :
New car = N
Sunroof = S
P(N) = 0.86
P(N n S) = 0.45
Recall :
P(A|B) = p(AnB) / p(B)
Therefore ;
P(S|N) = P(SnN) / p(N)
P(S|N) = 0.45 / 0.86
P(S|N) = 0.523
Renita is riding her bike to school.it takes her 5 minutes to travel half a mile. Renita's school is 2 miles from her house . she plans to leave 30 minutes before school and hopes to make it on time
Answer:
74
Step-by-step explanation:
its easy
Can someone please show me how to do this, I know the answer is 125 a^3 b^2.
The question is shown below in a picture I’m not sure how to do it please explain!
Answer:
Step-by-step explanation:
5^4 = 625. I hope your calculator will do this.
625 / 5 = 125
There is a more general way to do this which will be in harmony with the rest of the question.
5^4 / 5^1 = 5^(4 - 1) = 5^3 = 125
b^4 / b2 = b^(4 - 2) = b^2
a remains as it is at a^3
So the answer is 125 a^3 b^2
i really need help on this i’m confused
Tell if the number is rational or irrational. 3.65028
Answer:
Irrational
Step-by-step explanation:
Answer: YES
Explanation: 3.65028 is a terminating decimal, or decimal that ends, and all terminating decimals are rational numbers.
Please help me with full calculations
Answer:
use formula,
P(x,y)=P'(-y,x)
so.
R(-2,-2)=R'=(2,-2)
S(1,1)=S'(-1,1)
T(-1,-3)=T'(3,-1)
Step-by-step explanation:
plot R,S,T and R',S',T' in the graph