The probability that a data value is between 54 and 66 is 81.9%
z score is used to determine by how many standard deviations the raw score is above or below the mean.
The z score is given by:
[tex]z = \frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 62, σ = 4
For x = 54:
[tex]z=\frac{54-62}{4}=-2[/tex]
For x = 66:
[tex]z=\frac{66-62}{4}=1[/tex]
P(54 < x < 66) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 81.9%
The probability that a data value is between 54 and 66 is 81.9%
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What is the value of (225 ÷ 0.25) – 11.875 written to two decimal places.(2d.p.)
888.125 is the answer just use your calculator
Answer:
Step-by-step explanation:
888.13
The ratio of United States gold medals to Russia gold medals was about to 1. If the US has 46 and Russia has 24, then what is the ratio
Answer;
23:12
Step-by-step explanation:
if USA has 46medals and Russia had 24medalso 46 : 24lowest term method 2in 46 23and 24/2is 12 answer 23 : 12The ratio between the US and Russia is 23:12
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here US has 46 and Russia has 24 and thus the ratio is
46:24=23:12
Hence, the required ratio is 23:12
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A moving truck traveled 333 miles in 6 hours. A car traveled 210 miles in 4 hours. What was the average rate of speed (mph) for each vehicle?
Divide distance by time
Truck : 333/6 = 55.5 miles per hour
Car: 210/4 = 52.5 miles per hour
Answer:
Below.
Step-by-step explanation:
Speed of truck = 333/6 = 55.5 mph.
Speed of car = 210/4 = 52.5 mph.
-2x-3=-x+6 plssssssss I can’t find a solution
Answer:
x = -9
I'm not sure if you were looking for a solution to x but I hope this helps :)
Jodie made a New Year's resolution to learn how to play the violin. She bought an
Introduction to Violin class pack from the Noble Notes music shop, which covers the cost of
12 violin lessons. She also paid $25 to rent a violin. In all, Jodie paid $385. How much does
each violin lesson cost?
Answer:
$30
Step-by-step explanation:
If x is the cost of a lesson, the total cost of Jodie's purchase is ...
cost of lessons + rental cost = total cost
12x + 25 = 385
12x = 360 . . . . . . . subtract 25
x = 30 . . . . . . . . . . divide by 12
Each violin lesson costs $30.
Will mark brainliest (give me 2 possible answers pls)
Answer:
x+5/x+6
Step-by-step explanation:
Erin and Jamie are collecting shells while the tide is out Erin has 27 shells and she has 9 more shells than Jamie write an equation for this situation and find how many shells Jamie has collected
Answer:
27-9= 18
Step-by-step explanation:
Erin's total shells is 27, her total is 9 more shells than Jamie has. Thus you subtract 9 from 27 to get the number of shells Jamie collected.
if f(x) = 3x - 1 and g(x) = x + 2, find (f-g)(x).
Answer:
f(x+2)=3x+5
Step-by-step explanation: hope this helps, love. have a good day
How many solutions does this equation have?
-2(t- 4) = 10 - 27
no solution
one solution
infinite solutions
two solutions
Answer:
t = 12.5
Step-by-step explanation:
Assuming you typed the equation correctly:
-2(t-4) = 10 - 27
-2(t-4) = -17
t-4 = 8.5
t = 12.5
So, there's only one solution
when a card is drawn from a well shuffled pack of 52 cards , find the probability of getting the card a club or a jack
Explanation:
There are 4 jacks (one of each suit) and 13 clubs. This gives 4+13 = 17 cards that are either jack or club. However, we double-counted the jack of clubs which means there are really 17-1 = 16 cards that are one or the other or both.
This is out of the 52 total mentioned. So we end up with the probability:
16/52 = (4*4)/(4*13) = 4/13
if 18 plums weigh 54 ounces then 27 plums weigh x ounces
Answer:
81 ounces
Step-by-step explanation:
Divide 54 by 18 to find the weight of 1 plum then multiply this by 27.
54 ounces ÷ 18 = 3 ounces , then
27 plums = 27 × 3 = 81 ounces
if I had 35 books but I wanted 48 and I did have any books to make 48 what do I do?
Answer:
Step-by-step explanation:
go to the store
pedro is a driver for LYFT. There is a flat fee and a rate per mile. The function f(x)=4.50x + 12 represents how much it will cost for a ride after X miles. evaluate f(39)
Can someone please help me with this and fast
Answer:
B) √a
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
√a = a^(1/2)
(a^b)/(a^c) = a^(b-c)
__
A) (a^(1/8))(a^(1/8)) = a^(1/8+1/8) = a^(1/4)
B) √a = a^(1/2) . . . . . . . . . . . . . not equal to a^(1/4)
C) a^(3/4)/a^(1/2) = a^(3/4-1/2) = a^(1/4)
D) (a^(1/8))^2 = a^(1/8+1/8) = a^(1/4) . . . . . same as (A)
3. Solve by graphing. Round each answer to the nearest tenth.
x^2 - 7x = 11
Answer:
-1.3, 8.3
Step-by-step explanation:
Based on the graph below, the solutions are -1.3 and 8.3.
PLEASE HELP!!! this is actually english but---
what is a counterargument and rebuttal in a persuasive speech?
A counterargument simply means the acknowledgement of the standpoints that go against one's argument and then re-affirming the argument.
A persuasive speech means a form if speech where the goal of the speaker is to convince the audience to accept hai or her point of view.
A counterargument shows that a individual is capable of understanding the multiple sides that are in an argument. A rebuttal simply means a form of evidence that's presented in order to nullify the other evidences that are provided by another party.
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First person to answer CORRECTLY will get brainliest and extra points!!
Answer:
y=15
Step-by-step explanation:
What is 10Million divided 10Million its a very hard question you know.
undefined slope through (74, 25)
slope-intercept form:
y=25
piont-slope form:
y-25 =0×(x-74)
The formula is:
y-y1=m9(x-x1)
What is the zero of the function?
1 cause the zero is where the line crosses at the x axis
Please solve this problem please ASAP !
1 lb = 0.45 kg
How many pounds are in 90.9 kilograms?
Answer:
200.4002 pounds
Step-by-step explanation:
Answer:
The answer is 200.4002
If you have to round to the nearest thousandth then it is 200.400
If you have to round to the nearest hundredth then it is 200.40
If you have to round to the nearest tenth then it is 200.4
One group of carolers goes to every 6th house in a neighborhood, another goes
to every 8th house. At which house will the first meet?
The carolers would meet first at the 24th house.
In order to determine in which house the carolers would meet, the multiple of 6 and 8 have to be determined. They would first meet at the first common multiple of 6 and 8.
A multiple of a number is the product of an integer and that number.
First ten multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60First ten multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, Least common multiple = 24To learn more about multiplies, please check: https://brainly.com/question/10520264
Please help me solve #9, and please 10
Answer:
#9. y = -250x
#10. y = -2500, x = 100
Step-by-step explanation:
y = mx +b
y: y-value
m: slope
x: x-value
b: y-intercept
since your answer for #8 is -250, the slope would be -250 or m would be -250
y = -250x+b
now to solve for b, we take one of the points and plug it in, any works, but we'll use (1,-250)
plug in the points
-250 = -250(1)+b
solve for b
b = 0
thus the equation is y = -250x + 0 or y = -250x
#10 plug in x values and y values into equation to get answer
x = 10 -> y = -250(10) = -2500
y = -25,000 -> -25,000 = -250x
x = -25,000/-250
x = 100
Please help me I have no idea what I'm doing :(
Answer:
x = (-b ± √b² - 4ac)/2a
Step-by-step explanation:
Given the following triangle, what is the cos A?
[tex]\text{Given that, for angle A}\\\\\text{Adjacent side, AB = 7}\\\\\text{Hypotenuse, AC = 25}[/tex]
[tex]\cos A = \dfrac{AB}{AC} = \dfrac{ 7}{25}[/tex]
Need help on 19-21 homeowrk I don’t need the rest I couldn’t crop out so only 19 throught 21
Answer:
19. 7, 20. 4, 21. 1
Step-by-step explanation:
19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7
20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2
21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.
how do you find the ratio of something
Answer:
To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3. Step 1 is to work out the total number of parts in the ratio. 1 + 3 = 4, so the ratio 1:3 contains 4 parts in total.
Step-by-step explanation:
Step-by-step explanation:
hope it will help you a lot.......
In a snail race, the winning snail traveled 5.85 cm in 3/4 of a minute. How fast was the snail traveling per second?
Answer:
0.13 cm per second
Step-by-step explanation:
Lets convert the minutes to seconds:
3/4 minutes = 3/4(60) = 45 seconds
The snail traveled 5.85 cm in 45 seconds
To find out the speed per second, we set up a proportion:
[tex]\frac{5.85}{45} = \frac{x}{1}[/tex] where 45 and 1 represent the number of seconds, and 5.85 and x represent the distance in that set of time
Let's solve for x, or the distance in 1 second:
[tex]\frac{5.85}{45}=\frac{x}{1}\\\\\\\frac{5.85*1}{45x}\\\\\\x = \frac{5.85}{45}\\\\\\\\\\x = 0.13[/tex]
The snail travels 0.13 cm per second.
-Chetan K
Simplify and write your answer in the form a+bi.
10/1+2i (this is a fraction)
Answers:
A. 10-20i/5
B. 2-4i
C. 1-2i
D. 10+5i
[tex]\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i[/tex]