Answer:
b. 0.5
Step-by-step explanation:
Arranging the given data
30, 31, 31, 34, 35, 36, 37Median is the middle term⇒ Median = 34 minutesUpon adding 37 to the data set,
30, 31, 31, 34, 35, 36, 37, 37Median is the arithmetic mean of the middle two data pointsMedian = 34 + 35/ 2 = 34.5Change in Median
New Median - Original Median34.5 - 340.5Round 5.78575184279 to the nearest whole number.
Answer:
6
Step-by-step explanation:
5.7 is already immediately 6 because if a number after the whole number is 5 or more you round up.
6
Step-by-step explanation:
(3 9/13 * 2 1/6 -5)^3-(9-5*2)^5+0.4(29.51+90.49)
Answer:
76
Step-by-step explanation:
All steps are in the pic attached :
Suppose a normal distribution has a mean of 98 and a standard deviation of
6. What is P(x s 110)?
A. 0.975
B. 0.84
O C. 0.025
OD. 0.16
The probability (x s 110) is 0.975, the correct option is A.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
We are given that;
Mean=98
Now,
To find the probability that x is less than or equal to 110 for a normal distribution with mean 98 and standard deviation 6, we need to use the standard normal table or a calculator.
Using the standard normal table, we first need to convert x to a z-score using the formula:
z = (x - mean) / standard deviation
Plugging in x = 110, mean = 98 and standard deviation = 6, we get:
z = (110 - 98) / 6
z = 2
This means that x = 110 is equivalent to z = 2 on the standard normal distribution.
Now we look up the value of z = 2 on the table and find that it corresponds to an area of 0.9772. This means that P(z ≤ 2) = 0.9772.
However, this is not the answer we want. We want P(x ≤ 110), which is the same as P(z ≤ 2). The table gives us the area to the left of z, but we need to subtract it from 1 to get the area to the right of z. This is because P(x ≤ 110) = P(z ≤ 2) + P(z > 2) = 1.
Therefore,
P(x ≤ 110) = P(z ≤ 2)
P(x ≤ 110) = 1 - P(z > 2)
P(x ≤ 110) = 1 - (1 - P(z ≤ 2))
P(x ≤ 110) = P(z ≤ 2)
P(x ≤ 110) ≈0.9772
Therefore, by the given mean the answer will be 0.975.
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what expression is equivalent to 2x+9-x+3? show your answer is correct by substituting a value for x.
Answer:
Step-by-step explanation:
Given
2x + 9 - x + 3
What's equivalent
Solution
2x - x + 9 + 3 The terms have been rearranged. Combine
x + 12
Test.
x = 5
2(5) + 9 - 5 + 3
10 + 9 - 5 + 3
19 - 5 + 3
14 + 3
17
x + 12
5 + 12 = 17
help me please im getting tired of getting no answers!
Answer:
The picture isnt popping up fix it and ill answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
change in time: 2
change in distance: 5.5
2:5.5
Please Answer :D
Find the area of the figure
Will mark brainliest to the correct person!
Answer:
The area is 56.52 sq. in.
Step-by-step explanation:
First to find the area of a whole circle, we do r^2(pi)- 6^2(3.14)=113.04. Since the circle is cut in half or is a semicricle, we divide the whole area by 2 to get 113.04/2=56.52.
If 2/5 of the judges were wearing their powdered wigs, what fraction of the judges were not wearing their powdered wigs?
Answer: [tex]\frac{3}{5}[/tex] of the judges were not wearing their powdered wigs.
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] out of the whole [tex]\frac{5}{5}[/tex] were wearing a wig. So subtract [tex]\frac{2}{5}[/tex] from [tex]\frac{5}{5}[/tex] to see the fraction that wasn't wearing a wig.
[tex]\frac{5}{5} -\frac{2}{5} =\frac{3}{5}[/tex]
Which situation does NOT yield variability?
Select one:
How many days are in a leap year?
How many siblings does each person in your class have?
How many miles do you travel in your car each day?
Options A and B situation does NOT yield variability that is A. How many days are in a leap year? B. How many siblings does each person in your class have?
What is statistical data?Statistics deals with the study of variability. The statement is said to be statistical if there would be variability in that data.
A. How many days are in a leap year?
This situation does NOT yield variability because the question is answered by a single value. It does not need any collecting data that vary.
B. How many siblings does each person in your class have?
This situation does NOT yield variability because the question is answered by a single value. It does not need any collecting data that vary.
C. How many miles do you travel in your car each day?
This situation yield variability because the question is answered by collecting data.
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Please help!! Will mark brainlyest.
C
Step-by-step explanation:Line symmetry is when a shape can be folded over an imaginary axis and have both sides be a mirror of the other. This axis is called the line of symmetry.
Letter C
In this case, if you draw a horizontal line across the middle of the letter "C" and fold the letter, each half would be the same. The top half of "C" mirrors the lower half.
Other Examples
The lowercase letter "l" also has 2 lines of symmetry. You can draw both a horizontal and vertical line across the letter and each side will mirror the other.
A store sells an 8-pound bag of flour for $18.80. If larry can buy a 2-pound bag of flour at the same rate, what would be the price of the 2-pound bag?
Answer:
$4.70
Step-by-step explanation:
First, you need to divide 18.80 by 8.
18.80/8 = 2.35
2.35 is the unit price for one (1) pound bag of flour,
Multiply by 2 to find the price of a two (2) pound bag.
2.35 * 2 = 4.7
$4.70 is the price of a two-pound bag.
hope this helps :)
What is the slope of the line that contains the points (13, -2) and (3, -2)?
Answer:
the slope = 0
Step-by-step explanation:
we notice that the points (13, -2) and (3, -2) have the same y-coordinate -2
Then
the slope = 0
The price of an item has been reduced by 80% . The original price was $85. What is the price of the item now?
and fast pls it is due today and thx u!.
Let the price be x
x=85-80% of 85x=85-0.8(85)x=85-68x=$17Price is $17 now
o Watch help video
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=
Given that f(x) = x2 - 6x + 8 and g(x) = X – 2, find (fºg)(x) and express
the result in standard form.
Answer: [tex]x^{2} -7x+10[/tex]
Explanation:
Get the result ⇒ [tex]f(x)-g(x)=(x^{2} -6x+8)-(x-2)[/tex]
Remove the parentheses ⇒ [tex]x^{2} -6x+8-x+2[/tex]
Reorder and gather like terms ⇒ [tex]x^{2} +(-6x-x)(8+2)[/tex]
Collect the coefficients for the like terms ⇒ [tex]x^{2} +(-6-1)*x+(8+2)[/tex]
Calculate the sum or difference ⇒ [tex]x^{2} -7x+(8+2)[/tex]
Calculate the sum or difference ⇒ [tex]x^{2} -7x+10[/tex]
Convert to required form ⇒ [tex]x^{2} -7x+10[/tex]
Answer ⇒ [tex]x^{2} -7x+10[/tex]
Solve the system of equations (1 point)
y = 2x(squared) – 3
y = 3x - 1
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
1.
[tex]y = {2x}^{2} - 3[/tex]
[tex] {2x}^{2} - 3 = y[/tex]
[tex] {2x}^{2} = y + 3[/tex]
[tex]\frac{2x^{2}} {2} = \frac{y + 3}{2}[/tex]
[tex] {x}^{2} = \frac{y + 3}{2} [/tex]
[tex]x = \sqrt \frac{2y + 6}{2}[/tex]
───────────────────
2.
[tex]y = 3x - 1[/tex]
[tex]3x - 1 = y[/tex]
[tex]3x = y + 1[/tex]
[tex] \frac{3x}{3} = \frac{y+1}{3}[/tex]
[tex]x = \frac{y + 1}{3}[/tex]
═══════════════════
Explanation:
#Carry on learning
6 workers can construct 10m long
wall in 4 days in how many days 2 workers can construct 15m
long wall?
Answer:
18 daysStep-by-step explanation:
Remember :
Number of workers is inversely proportional to the amount of days requiredHere :
6 workers construct 10 m long wall in 4 daysThen, for 2 workers to construct the same length, it will take 3 times the amount of time as number of men has been divided by 32 workers to construct 10 m long wall = 4 x 3 = 12 daysFor them to construct 15 m long wall, multiply the number of days by 1.5 as 10 x 1.5 = 15No. of days for 2 workers to construct 15 m long wall :12 x 1.5 = 18 daysRectangle A'B'C'D' was created by dilation Rectangle ABCD using D as the center of dilation.
What is the scale factor of the dilation?
Based on the scale factor, how many copies of ABCD, including the original, should fit inside A'B'C'D?
In Rectangle , 16 copies of ABCD fit inside A'B'C'D'.
What is a rectangle, exactly?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
DA = 3
D'A' = 12
Scale factor DA/D'A' = 3/12 = 1/4
The scale factor = 1/4
The scale factor = 1/4
area ratio = 1/16
16 copies of ABCD fit inside A'B'C'D'.
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Im trying to help my sis but i cant remember :/
428.5oz (total amount she had to put out)÷ 5(amount of bowls she wanted to use) = 85.7oz
The letters of the word STAR are written on individual cards. If you always choose three cards and then put them back before the next set of three cards, how many different permutations will you have? List all the different permutations in the space provided.
PLEASE HURRY AND HELP
Answer:
Answer: 24
Step-by-step explanation:
There are 4 possibilities for the first card. After that, there are 3 possibilities for the second card. Finally, there are 2 possibilities for the third card. The total number of permutations is 4×3×2 = 24. Here's the list (in alphabetical order): ARS ART ASR AST ATR ATS RAS RAT RSA RST RTA RTS SAR SAT SRA SRT STA STR TAR TAS TRA TRS TSA TSR
What is the solution to 4|x – 6| ≤ 16?
x ≤ 2 or x ≥ 10
2 ≤ x ≤ 10
–10 ≤ x ≤ 2
x ≤ –10 or x ≥ 2
Answer:
2 ≤ x ≤ 10
Step-by-step explanation:
4|x – 6| ≤ 16
|x – 6| ≤ 4
-4 ≤ x – 6 ≤ 4
2 ≤ x ≤ 10
The solution to 4|x – 6| ≤ 16 is 2 ≤ x ≤ 10
What are polynomials?
A polynomial expression is an expression that can be built from constants and symbols.
Polynomials are algebraic expressions that comprise exponents which can be added, subtracted, or multiplied. Polynomials are of different types. Monomial- Linear equations (A monomial is a polynomial with one term)Binomia l- quadratic equation (A binomial is a polynomial with two, unlike terms).
calculation:-
⇒4|x – 6| ≤ 16
⇒|x – 6| ≤ 4
⇒-4 ≤ x – 6 ≤ 4
⇒2≤ x ≤ 10
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Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) right-bracket cubed 2 cubed = left-bracket log subscript 3 baseline (x 5) right-bracket squared 3 squared = x 5 2 cubed = x 5
The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get [tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Some properties of logarithm are:
[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)[/tex]
Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.
Log with base 10 is written as [tex]\log(x)[/tex] simply.
The equation given is:
[tex]\log_3(x+5) = 2[/tex]
By using the definition of log, which says [tex]a^b = c \leftrightarrow \log_a(c) = b[/tex], we get:
[tex](x+5) = 2^3[/tex] or [tex]2^3 = x+5[/tex]
Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]
(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).
Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]
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Is the function F(x)=5x2
A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. A second person pays $14.00 for a ticket to every game but doesn't buy programs. In how many games will they have paid the same amount?
The two person will pay the same amount of money when they both watch 9 hockey games.
How to find the equation and use it to find cost?A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. Therefore,
y = 99 + 3x
where
y = total cost
x = number of game
A second person pays $14.00 for a ticket to every game but doesn't buy programs. Therefore,
y = 14x
The number of games they will have the same amount is as follows:
99 + 3x = 14x
99 = 14x - 3x
99 = 11x
x = 99 / 11
x = 9
Therefore, they will have the same amount when they watch 9 games.
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I urgently need help!! Please!!
Answer: f= [tex]x^2+4x+8+(7/3x-4)[/tex]
Step-by-step explanation:
Careful with simplifying every step.
URGENT!!
Find the solutions by completing the square x^2-5x+4=y
Answer:
y=x^2-5x+4 i am not sure but a im try
Need help asap!! Please Help, No links!
Which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
Answer:
1st, 2nd, and 5th one
Step-by-step explanation:
I got an 100 on the assignment! hope this help <3
Help me on this please
Answe65
Step-by-step explanationthat the anews
See the picture for my question.
What is the Pythagorean Theorem and when can you use it?
Step-by-step explanation:
The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.
You use the Pythagorean Theorem when you know the lengths of two sides of a right triangle and you want to figure out the length of the third side.
Please help!! 50 points!!!!
Jim walks 3 miles per hour slower than his friend Steve runs. Steve runs 4 miles per hour slower than his friend Matt rides his bike. Jim walks 25 miles in the same time Matt rides his bike 60 miles. Steve runs 16 miles in the same time Matt rides his bike 24 miles.
Part A: Write an equation to calculate Jim's speed.
Part B: Write an equation to calculate Steve's speed.
Part C: Write two equations that can be used to calculate Matt's speed.
Answer:
Jim=S-3
Steve=M-4
U figure out the last part. I helped
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
Let Jim, Steve, and Matt have speeds of j, s, and m respectivelyFrom the problem :j = s - 3 [Jim]s = m - 4 [Steve]Jim takes same time to walk 25 miles at it takes Matt to ride 60 milesj = 25/t₁ and m = 60/t₁Steve runs 16 miles in the same time Matt rides his bike 24 miless = 16/t₂ and m = 24/t₂Equating Matt's Speed in both cases
60/t₁ = 24/t₂t₁/t₂ = 5/2 = 2.5t₁ = 2.5t₂Now, taking Equation 1 :
j = s - 325/t₁ = 16/t₂ - 325/(2.5t₂) = 16/t₂ - 310/t₂ = 16/t₂ - 36/t₂ = 3t₂ = 2 st₁ = 2.5(2) = 5 secondsEq.1) m = 60/5 [Matt]Now, taking Equation 2 :
s = m - 416/t₂ = 24/t₂ - 48/t₂ = 4t₂ = 2 secondsEq.2) m = 24/2 [Matt]