Answers
Answer:
p = 170
Setting up the formula:
The mean is the sum of the digits divided by the total digits in the set.
[tex]\rightarrow \dfrac{\text{Sum of digits}}{\text{Total digits}} = \text{Mean}[/tex]
[tex]\rightarrow \dfrac{\text{Sum of digits}}{\text{Total digits}} = 39[/tex] [Mean = 39]
[tex]\rightarrow \dfrac{25 + p}{\text{Total digits}} = 39[/tex] [Sum of digits = 25 + p]
[tex]\rightarrow \dfrac{25 + p}{5} = 39[/tex] [Total digits = 5]
Step-by step calculations:
Use cross multiplication:
[tex]\rightarrow 25 + p= 39 \times 5[/tex]
Simplify the RHS:
[tex]\rightarrow 25 + p= 39 \times 5[/tex]
[tex]\rightarrow 25 + p= 195[/tex]
Subtract 25 both sides:
[tex]\rightarrow p = 195 - 25[/tex]
[tex]\rightarrow p = 170[/tex]
Related Questions
Which of the following options have the same value as
65% of 20?
Choose 2 answers:
Answers
Answer:
A) 0.65 · 20
D) [tex]\mathsf{\dfrac{65}{100} \cdot 20}[/tex]
Step-by-step explanation:
To find 65% of 20:
Method 1
65% in decimal form is: 65% = 65/100 = 0.65
Therefore, to find a percentage of a number, multiply the percentage in decimal form by the number:
[tex]\mathsf{\implies 65\% \ of \ 20 = 0.65 \cdot 20}[/tex]
Method 2
Divide the number by 100 to get 1%, then multiply this by 20 to get 20%.
[tex]\mathsf{\implies \dfrac{65}{100} \cdot 20}[/tex]
~The word "of" stands for multiplication.~
65/100 × 20 [65% = 65/100]Step-2: Verify all the optionsOption A) 0.65 × 20
~0.65 can be converted to fraction, which is 65/100.~
⇒ 65/100 × 20 = 65/100 × 20 [0.65 = 65/100]~This expression correctly matches with the resulting expression.~
Thus, option A is correct.
Option B) 65/100 ÷ 20
⇒ 65/100 ÷ 20 = 65/100 × 20This could've been equivalent to the resulting expression. However, the expression has a division sign.
Thus, Option B is incorrect.
Option C) 65/20 × 100
~To avoid confusion, let's further solve the expression.~
65/20 × 100⇒ 65/1 × 5⇒ 325~Now, let's solve the resulting expression.~
65/100 × 20⇒ 65/100 × 20⇒ 65/5 × 1⇒ 13~Since 13 does not equal 325, "65/20 × 100" does not equal "65/100 × 20".~
Thus, option C is incorrect.
Option D) 65/100 × 20
~This equation is the resulting equation.~
Thus, option D is correct.
Option E) 65 × 20
~To avoid confusion, let's further solve the expression.~
65 × 20 ⇒ 650 × 2⇒ 1300~Now, let's solve the resulting expression.~
65/100 × 20⇒ 65/100 × 20⇒ 65/5 × 1⇒ 13Since 1300 does not equal 13, 65 × 20 does not equal 65/100 × 20.
Thus, option E is incorrect.
Step-3: Make a conclusionOption A and D were equivalent to 65/100 × 20.
-
5.
Graph f(x) = 5x – 1. Then, write and graph the inverse.
2A
Answers
Answer:
hello
5 x - 1
inverse = 1 / ( 5 x- 1 )
Step-by-step explanation:
What does A'=? Also what would B=?
Answers
Answer:
A'(-1,-1)Step-by-step explanation:
A( -3,-3)
A'(-3*1/3,-3*1/3)
A'(-1,-1)
~
Fill in the missing numbers to complete the pattern:
5.28,5.53, ? , ? 6.28,6.53
Answers
Answer:
5.78,6.03
Step-by-step explanation:
the function is .25
What is 10+5
PLEASE HELP
Answers
Answer:
of course 15 is the correct answer
Step-by-step explanation:
mark me brainliest
Answer this quick !!!
Answers
Answer:
37: 2, 4, 0, and 9
38: 6 - (-6) = 12
39: A, B, and D
Step-by-step explanation:
The domain of a function is the set of all possible inputs for the function
The range of a relation is the set of the second coordinates from the ordered pairs.
37: 2, 4, 0, and 9
38: 6 - (-6) = 12
39: A, B, and D
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!! :)
The midpoint of AB is M (0,-3). If the coordinates of A are (2,1), what are the coordinates of B?
Answers
Answer:
(-2, -7)
Step-by-step explanation:
For the x-coordinate:
[tex](2+x)/2=0\\x=-2[/tex]
For the y-coordinate
[tex](1+y)/2=-3\\y=-7[/tex]
shanna uses 4 inches of string for each balloon she makes. How many yards of string does need to make 18 balloons? Use the diagram to help solve.
x y graph
Answers
Answer:
Step-by-step explanation:
A bird is sitting 8 feet from the base of a willow tree and flew 17 feet to reach the top of the tree. How tall is the tree?
Answers
Answer:
15
Step-by-step explanation:
a^2+b^2=c^2
8^2+b^2=17^2
64+b^2=289
-64 -64
b^2=225
√225
b=15
You have a Maxi Card with a $700 limit for this exercise. The card has a monthly finance charge of 1.67%. Fill out the following table. Your payment each month is $50. You are finished when you have paid it off.
Each month, except the first:
Balance = last month’s new balance – payment
onthly Finance Charge = balance (0.0167)
New balance = balance + monthly finance charge
Month 1 2 3 4 5 6 7 8
Balance
Interest
New Balance
Payment
Month 9 10 11 12 13 14 15 16 Total
Balance
Interest $
New Balance
Payment $
Answers
Answer: You have $83.50 on the card each month.
Step-by-step explanation:
Answer:
You have $83.50 on the card each month.
Step-by-step explanation:
hope this helps
21 Point T at (3,5) is reflected across the y-axis.
What quadrant would the reflection be in?
A. quadrant 1
B. quadrant 2
C. quadrant 3
D) quadrant 4
Answers
Answer:
If the point is at (3,5) it would be in quad 1, reflecting it over the y axis would put it in quad 2, making it B.
Find the ratio of the volume divided by the temperature for the first data pair. Use significant figures. V / T = 0. 72/276 =.
Answers
The ratio of the volume divided by the temperature for the first data pair is 0.0026 using the significant figures.
What is a ratio of two numbers?The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.
The value of the volume is 0.72 and the value of temperature is 276 for the first data pair. The image of all the values of the volume and temperature table is attached below.
The ratio of the volume to the temperature is,
[tex]\dfrac{V }{ T} =\dfrac{ 0. 72}{276 }\\\dfrac{V }{ T} =0.002608695652[/tex]
The above value is the ratio of volume to the temperature. Now this value has to be written with significant figure.
Let's correct the value, after the 4 places of the decimal point. As the value of fifth place is zero, then the value of 4 place will remain as it is.
Thus, the ratio is,
[tex]\dfrac{V }{ T} =0.0026[/tex]
The ratio of the volume divided by the temperature for the first data pair is 0.0026 using the significant figures.
Learn more about the ratio of two numbers here;
https://brainly.com/question/831500
if 2:4=x:16 find the value of x
Answers
Answer:
x = 8 is the answer
Step-by-step explanation:
2:4 = x : 16
x = 8
Answer: 8
Step-by-step explanation:
given:
2:4=x:16
2×16= 4x
32/4 = x
x=8
Help me please!!! I need HELP
Answers
Answer:
Angle E is 54* and Angle F is 126* , Angle d is 90*
Step-by-step explanation:
The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?
Amount in Juanita’s Savings Account
Number of Months Working at Part-Time Job
0
2
4
6
8
Amount in Savings Account (in dollars)
$36
$60
$84
$108
$132
Answers
Answer: the answer should be C
Step-by-step explanation: I just did it
Temperature freezes at 0c. Write three numbers where temperature would be below freezing
Answers
Answer:
-10
-45
-30.
Explain: You just need to add the negative symbol, if you don't like my answer, yiu can change, for ex: -2, -18,...
Which two integers does each square root lie between?
Write your answers using <.
a √12
b √30
c √75
Answers
Answer:
a. 2and 3 b.15 and 2 c. 5 and 3
what is the answer for
2 1/2 + 4 2/3
Answers
Answer:
635
Step-by-step explanation:
you need a ti-30xa calculator
2.3 x 4.5
Please help! Im not sure if it did it right!
Answers
2.3 x 4.5 = 14.4
What is the approximate volume of a baseball with a radius of 1.5 inches?
A.
7.1 cubic inches
B.
9.4 cubic inches
C.
10.6 cubic inches
D.
14.1 cubic inches
Answers
Answer: D. 14.1 cubic inches
Step-by-step explanation:
Formula for volume of a sphere: 4/3 x pi x radius cubed
Substitute: 4/3 x pi x 1.5 cubed
= 14.1
Answer:
14.13
Step-by-step explanation:
Sphere formula;
v = 4/3πr^3
Where pi is 3.14 or 22/7
R is the radius which is cubed
Substitute the radius(1.5) into the formula:
v = 4/3πr^3
v = 4/3 * 3.14 * 1.5^3
v = 4/3 * 3.14 * 3.375
v = 4/3 * 10.5975
v = 42.39/3
v = 14.13, our closest answer would be D.
What is the average rate of change of f over the interval
Answers
It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
What is the value of the equation 3×-9y=1?
A.3 B. 9 C. 1 D. -9
Answers
Answer:
y = -1/27
Step-by-step explanation:
3 * -9y = 1
~Simplify left side
-27y = 1
~Divide -27 to both sides
y = -1/27
Best of Luck!
Harry invests some money in low-risk and high risk investments in the ratio 7:3. he invests £1800 into the high risk investments. how much money does he invest altogether?
Answers
Answer: £2571.43
Step-by-step explanation:Total ratio=7+3=10
If 7 = £1800 then 10 =10÷7*£1800 =£2571.43
WILL GIVE BRAINLIEST!!!
How many phone numbers are possible in the (770) area code if:
For the form ABC-XXXX, A is restricted to numbers 2-9. B, C, and X can be any digit 0-9. Also, the number 867-5309 is not used.
A. 6,999,999
B. 7,000,000
C. 7,999,999
D. 8,000,000
Answers
Answer:
C = 7,999,999
What is the value of x?
Answers
The sum of all the angles of a triangle is 180 degrees
We see that Line HI and JI are equal in length meaning that triangle HIJ is an isosceles triangle. This means that the two angles of unknown measure are both x.
So lets now set up our equation:
[tex]x + x + 74 = 180\\2x = 106\\x = 53[/tex]
Thus x is 53 degrees
Hope that helps!
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of each ingredient should you use to make 32 pints of fruit punch?
Answers
Answer:
So you have the ratio of
1 : 2 : 5
Soda water : fruit punch: ginger ale
You have to make 32 pints of this.
You can add up the ratio.
1 + 2 + 5 = 8
You’d have 8 ingredients in total.
32 pints so 32/8 = 4
Now you have each ingredient *4
1 * 4 = 4
2* 4 = 8
5* 4 = 20
SO 4 soda water, 8 fruit punch, 20 ginger ale.
To check you can add these up again and if they equal 32 then you got it.
In a class of 27 students, 12 play an instrument and 6 play a sport. There are 13 students who do not play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport?
Answers
The probability of a student chosen plays a sport is [tex]\frac{6}{27}[/tex]
What is probability?'Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.'
According to the given problem,
Total number of students = 27
Number of students playing a sport = 6
Number of students playing an instrument = 12
Number of students no playing a sport or instrument = 13
Probability = [tex]\frac{No of possible events}{Total number of students}[/tex]
= [tex]\frac{6}{27}[/tex]
Hence, we can conclude that the probability of a student chosen plays a sport is [tex]\frac{6}{27}[/tex].
Learn more about probability here: https://brainly.com/question/11234923
#SPJ2
help please i’m really struggling!!
Answers
Answer:
1/6
Step-by-step explanation:
rise=1
run=6
therefore run over run is 1/6
anybody know what to put
Answers
Answer:
yes we answered this earlier, its x / 3 < 5
Step-by-step explanation:
because it says at most. so i dont think it should be "<="
Which of the following equations have a slope of -1/2 and passes through the point ( − 5 , 2 ) ?
Answers
Answer:
where are the equations.