Complete question :
A study is conducted to assess the smoking behaviors of high-school seniors. A random sample of 8 seniors is selected and each student is asked the number of cigarettes consumed on a typical day. The (sorted) sample is: 0 0 3 4 5 8 10 18. If 18 is replaced with 20, then select all that apply:
Sample IQR will change
Range, IQR, and standard deviation will remain the same
Sample range will change.
Sample standard deviation will change
Answer:
Sample range will change
Sample Standard deviation will change
Step-by-step explanation:
Given the sorted sample : 0,0,3, 4,5,8,10, 18
n = number of observations
Sample range : ( 18 - 0) = 10
Upper quartile (Q3) = 3/4(n+ 1) = 3/4(9) th term
Q3 = 27/4 = 6.75th term
(8 + 10) / 2 = 18/ 2 = 9
Lower quartile (Q1) = 1/4(n + 1) = 9/4 th term
2.25th term = 0+3 = 3/2 = 1.5
Interquartile range = 9 - 1.5 = 7.5
Standard deviation = 5.976 (using calculator)
If 18 is replaced by 20:
0,0,3, 4,5,8,10, 20
Range = (20 - 0). = 20
Upper quartile (Q3) = 3/4(n+ 1) = 3/4(9) th term
Q3 = 27/4 = 6.75th term
(8 + 10) / 2 = 18/ 2 = 9
Lower quartile (Q1) = 1/4(n + 1) = 9/4 th term
2.25th term = 0+3 = 3/2 = 1.5
Interquartile range = 9 - 1.5 = 7.5
Standard deviation = 6.563 (using calculator)
X/2 + 1 =7 .........
Answer:
x = 12
Step-by-step explanation:
x/2 + 1 = 7
Subtract both sides
x/2 + 1 - 1 = 7 - 1
x/2 + 0 = 6
x/2 = 6
Multiply both sides
x/2 * 2 = 6 * 2
x = 12
help me out with this question
Answer:
The size of the sample is 23 scientists.
Find two consecutive whole numbers that square root of 31 lies between.
answer this please.
Given :
An irrational number , [tex]x=\sqrt{31}[/tex] .
To Find :
Two consecutive whole numbers that square root of 31 lies between.
Solution :
We know , square root of 36 is 6.
Also, square root of 25 is 5.
Now, we can see that [tex]\sqrt{31}[/tex] lies between 5 and 6. Also, both 5 and 6 are consecutive.
Therefore, between 5 and 6 is the solution.
Hence, this is the required solution.
The consecutive whole numbers that the square root of 31 lies between will be 5 and 6.
Consecutive numbers simply refers to the numbers that follow each other in a particular set.
The square root of 31 is 5.57
Therefore, it can be noted that 5.57 will be between 5 and 6.
Therefore, the numbers are 5 and 6.
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Given two consecutive integers. The sum of four times the first integer and six times the second integer is 96. Find the integers.
Find the First Integer and Second Integer
Hey there! I'm happy to help!
If these are consecutive integers it means that they are one apart. Let's call our numbers x and y and create a system of equations. Our x will be the first integer and y will be the second.
y=x+1
4x+6y=96
We plug our y value into the second equation to solve for x.
4x+6(x+1)=96
We use the distributive property to undo the parentheses.
4x+6x+6=96
We combine like terms.
10x+6=96
We subtract 6 from both sides.
10x=90
And divide both sides by 10.
x=9
Since y is x+1, we know that y is 10.
Our integers are 9 and 10.
Have a wonderful day! :D
How does number 3 work, I don’t understand how it end up being x+8
The answer is -5 = x. Because if x + 8 is 3 you would have to subtract 5 making the answer to X negative 5 + 8.
Evaluate each expression.
Answer:
THIS DESERVES A BRAINLIEST BECAUSE I PUT ALL OF THE ANSWERS AND THE WORK TO IT
1: 6
2: 3
3: 5
4: 1
5: 3
6: -1
7: 8
8: 4
9: 3
10: 16
Step-by-step explanation:
Use PEMDAS
1. (2x2)+2
You do 2x2 first which is 4 so then you do 4+2 which is 6
2. 6 divided by (5-3)
You do 5-3 first which is 2 then 6/2 (that's 6 divided by 2) which is 3
3. 6/6 x5
so you do 6 divided by 6 which is 1 then you get 1x5 which is 5.
4. 2-(5-4)
5-4 is 1 and 2-1 is 1
5. 2+6/6
6 divided by 6 is 1 and 2+1 is 3
6. (-6)+5 is -1
7. 1-(-7) is the same as 1+7 which is 8
8. (-3)-7 is the same as -3+7 which is the same as 7-3 which is 4
9. 5+(-2) is the same as 5-2 which is 3
10. 8-(-8) is the same as 8+8 which is 16
Assuming that your heart beats 70 times per minute, how many times does your heart beat in 6
days?
25,200
201,600
604,800
O 36,288,000
Answer:
C: 604,800
Step-by-step explanation:
24 hours in a day
60 minutes in an hour
24x60=1440
1440x 6=8640
8640x70=604800
Hope this helps
The heart will beat 604800 times in 6 days.
Number of minutes in a day = 1440 minutes
Number of minutes in 6 days = 1440 × 6 = 8640 minutes
Since the heart beats 70 times per minute, the number of times that it'll beat in 6 days will be:
= 70 × 8640
= 604800
The heart will beat 604800 times in 6 days.
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Ms. Badger has 3/4 pound of oatmeal. She uses 2/3 of the oatmeal to bake muffins. How much oatmeal does Ms. Badger have left?
Answer: 1/12
Step-by-step explanation:
3/4-2/3 = 9/12-8/12 = 1/12
Trevon has 2l6 1/2 pounds of bird seeds he puts 1 1/4 lb of birdseed in this feeder each day how many days before Trevon runs out of. A bird seeds
Answer:
173 days
Step-by-step explanation:
You have 173.2, but you have to round down days.
You can change 216 1/2 to 216.5
Then change 1 1/4 to 1.25
Do 216.5/1.25
It make to 173 days
what is 1/120 as a decimal
Answer:0.0083
Step-by-step explanation:
0.0083 is 1/120 as a decimal.
A decimal is a number that contain of a whole and a fractional part. Decimal numbers lie in the middle of integers and represent numerical value for quantities that are whole plus some part of a whole.
We get decimals when we smash a whole into smaller parts.
A decimal number then has two components: a whole number part and a fractional part. The decimal place value system for the whole part of a decimal number is the alike the whole number value system.
However, we obtain the fractional part of the decimal number as we move toward the right after the decimal point.
1/ 120 = 0.0083.
Therefore, 0.0083 is 1/120 as a decimal.
Learn more about decimal here:
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WHAT IS 123464
× 12?
Answer:
1,481,568
Step-by-step explanation:
who's making you do this lol
Noah solved an equation as shown below and found that the equation has infinitely many solutions. Negative 3 (x + 4) + 2 x = 2 (x minus 6) minus 3 x. Negative 3 x minus 12 + 2 x = 2 x minus 12 minus 3 x. Negative x minus 12 = negative x minus 12. Which explains whether Noah is correct? Noah is correct because the two sides of the equation are equivalent expressions. Noah is correct because if he continues the solution, the final solution will be x = negative 2. Noah is not correct because the equivalent expressions mean that there is no solution. Noah is not correct because he used the distributive property incorrectly.
Answer:
A is the answer
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
HELP PLEASE ASAP!!!!!
Answer:
0.9
Step-by-step explanation:
1 1/2 / 1 2/3= 0.9
$920/4 hours write as a unit rate
Answer:
$230 dollars per hours
Step-by-step explanation:
1) Just divide 920 with 4
You will get 230.
Hope this helps!
Are the points H and L collinear?
E
S
H
Please help!! Thanks
Answer: quisiera ayudarte pero no tengo los medios ni la cabaza para follarte
Step-by-step explanation:
Answer:
y = 3x -2
Step-by-step explanation:
1. Find y- intercept (line passes through -2 on y-axis)
2. Find slope:
Use Coordinates (1,1) and (0,-2) and plug into slope formula[tex]\frac{-2-1}{0-1}[/tex] which equals [tex]\frac{-3}{-1}[/tex] Simplify to 33. Plug numbers into equition y = mx+b
m = slopeb = y intercept4. Final Answer y = 3x-2
A student is taking a history course and an English course. He decides that the probability of passing the history course is .75 and the probability of passing the English course is .84. If these events are independent, what is the probability that (a) he passes both courses; (b) he passes exactly one of them
Answer:
a. 0.63
b. 0.33
Step-by-step explanation:
Here is a probability question. When two events are independent, it means that the probability of one of the events happening has no effect on the probability on the other happening.
From the question, let P(H) be the probability of passing the history course while P(E) is the probability of passing the English course;
By representation;
P(H) = 0.75
P(E) = 0.84
a) Probability of passing both
This means that he passes history and also passes English;
Mathematically that would be represented as;
P(E) * P(H) = 0.84 * 0.75 = 0.63
b) Probability that he passes exactly one of the courses.
This means that he passes one and he fails the other. Mathematically, we should remember that the probability of an event not happening = 1 - probability of the event happening
Let P’(H) and P’(E) be the probability of failing the history and english courses respectively;
Thus; P’(H) = 1 - 0.75 = 0.25
while P’(E) = 1-0.84 = 0.16
Now the probability that he passes exactly one means he passes one and fails the other.
So in this case, we have two scenarios; He passes History and fail English or passes English and fails history.
Thus, we have;
[P(H) and P’(E) or P(E) and P’(H)]
In probability, and means multiplication while or means addition; thus we have;
{P(H) * P’(E) } + {P’(H) * P(E)}
= ( 0.75 * 0.16) + (0.25 * 0.84)
= 0.12 + 0.21 = 0.33
3x-9-2x+4. answer????
A__________________________ is a correspondence between two types of quantities such that the measures of quantities of the first type are proportional to the measures of quantities of the second type. * 2 points proportional relationship graph constant table
Answer:
Newtons 2nd law of motion
Step-by-step explanation:
Newton’s second law of motion is closely related to Newton’s first law of motion. It mathematically states the cause and effect relationship between force and changes in motion. Newton’s second law of motion is more quantitative and is used extensively to calculate what happens in situations involving a force. Before we can write down Newton’s second law as a simple equation giving the exact relationship of force, mass, and acceleration, we need to sharpen some ideas that have already been mentioned.
(x − 4)4 expand using pascals triangle
The triangle can be used to calculate the coefficients of the expansion of (a+b)n ( a + b ) n by taking the exponent n and adding 1 . The coefficients will correspond with line n+1 of the triangle. For (x−4)4 ( x - 4 ) 4 , n=4 so the coefficients of the expansion will correspond with line 5 .
Question 10+
10. If T is the midpoint of SU, find .r.
8x + 1)
121 - 1
S
T
Answer:5.7
Step-by-step explanation:
1/5 of the number of pretzel sticks in a pack is 12. How many pretzel sticks are there in the entire pack?
Answer:
60 because if you multiply 12 by 5 you will get 60
true or false. Any 3 distinct points are always coplanar
Answer: False
Step-by-step explanation:
Three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique. However, a set of four or more distinct points will, in general, not lie in a single plane. Two lines in three-dimensional space are coplanar if there is a plane that includes them both.
Answer:
Coplanar means "lying on the same plane". Points are coplanar, if they are all on the same plane. Any three points are coplanar but with more than three points, there is the possibility that they are not coplanar so its false.
Step-by-step explanation:
¿Cuántas libras de café “La Finca” que se vende a $5 la libra debe mezclarse con 80 libras de
café común que se vende a $2 la libra, para hacer una mezcla que se venda a $3 la libra?
Answer:
Thew answer is "40 pounds".
Step-by-step explanation:
The value of x pound is $5
It's mixed with 80 pound
Formula:
[tex]\text{Average price} = \frac{\text{Rate of both}}{\text{weight of both}}[/tex]
Average price = 3
[tex]\to 3 = \frac{5\times x+ 2\times 80}{x+ 80}[/tex]
[tex]\to 3 = \frac{5x+ 160}{x+80}\\\\\to 3(x+80) = 5x+ 160 \\\\\to 3x+240 = 5x+ 160 \\\\\to 240-160 = 5x-3x \\\\\to 80 = 2x \\\\\to 2x=80 \\\\\to x=\frac{80}{2} \\\\\to x= 40[/tex]
Solve. Write your answer in interval notation.
Hint: First solve each inequality for x, and graph each inequality on a number line.
2x+4<10 or 3x+4≥37
Answer: x < 3 or x ≥ 11
(-∞, 3) or [11, ∞)
Step-by-step explanation:
subtract 4 from each side
2x < 6 . or . 3x ≥ 33
x < 3 or x ≥ 11
make sure you have an OPEN DOT at 3 pointing to negative infinity and a CLOSED DOT at 11 pointing to positive infinity.
If Molly has 9 1/2 cups of flour. This is 3/4 of the number she needs to make bread, how many cups does she need?
Which number has a 3 that
has a value 10 times as much
as the 3 in 43.92?
A. 235.16
C. 96.315
B. 394.8
D. 7.635
Answer:
Answer A : 235.16
Step-by-step explanation:
Notice that in the original number (43.92), the 3 is located in the column of the units. So we are looking for a number that contains a 3 in ten times as much, that is a number that contains a 3 in the column of the tenths.
From the four given choices, the only one with a 3 in the column of the tenths is the one in answer A: 235.16
A map of a park says its scale is 1 to 100. What do you think that means? help I'm confused on this one??????
Answer:
Ratio scales
If the scale of the plan is 1 : 100 this means the real measurements are 100 times longer than they are on the plan
question is attached below help asap
Given f(t)=2x2-3x, what is the value of f(6)?
