Based on the information that the smallest score in a population is x=5, and the largest score is x=10, the conclusion is that the standard deviation is going to be smaller than the range of scores.
Given that in a population, the smallest score is x=5, and largest score is x=10, the range of scores is:
Range of scores=largest score-lowest score
=10-5
=5
Here the range of scores is 5, and the mean of the scores is likely to be between 5 and 10
Standard deviation which refers to the average spread of the distribution, will now be considered to be smaller since the range of scores is low.
Because standard deviation is found from the mean, if the mean is between x=5 and x=10, the standard deviation must be lower than x=5.
Hence, smaller than the range of scores.
Learn more about statistics here:
https://brainly.com/question/28263627
#SPJ4
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 90 and standard deviation = 20. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at 125)
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Step( i ) :-
Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.
Mean of the Population 'μ' = 83
Standard deviation of the Population 'σ' = 27.
Step(ii):-
Given X =60
Step(iii):-
Given X = 110
The Probability that between 60 and 110
P(60 < x<110) = P( -0.851 < z< 1)
= P( Z≤1) - P(Z≤ -0.851)
= (0.5 + A(1)) - (0.5- A(-0.851))
= (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)
= 0.8413 - 0.1977
P(60 < x<110) = 0.6436
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
What happen in uniform probability distributions?In case of uniform probability distributions, the likelihood of each possible outcome happening or not is the same. This property means that, for any given trial, the probability that an event will be successful does not change. Take the probability of rolling a 5 on a die for instance, no matter how many trials are performed, there is always a 1 in 6 probability for each trial.
Therefore, The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Learn more about probability on:
https://brainly.com/question/12905909
#SPJ2
Ben has a side job where he stuffs envelopes for a business. If he can fill 36 envelopes in
30 minutes, how long will it take him to fill 48 envelopes?
After solving basic arithmetic, we have come find that it will take 40 mins for Ben to fill 48 envelopes.
What is arithmetic?The word "arithmetic," which comes from the Greek word "arithmos," which means "number," is one of the oldest and most basic branches of mathematics. The study of numbers, particularly the characteristics of conventional operations, including:
Addition
Subtraction
Multiplication
Division
These operations are the basis for the arithmetic operators ‘+’, ‘-’, ‘×’ and ‘÷’.
The foundational subject in mathematics, arithmetic covers operations with numbers. These include addition, subtraction, multiplication, and division. One of the vital branches of mathematics, arithmetic serves as the cornerstone for students studying the subject of mathematics.
Given that he can fill 36 envelopes in 30 minutes
So time he would take to fill 1 envelope = 30/36
Therefore, time he would take to fill 48 envelopes = (30/36) × 48
= 40 mins.
Thus, It will take 40 mins for Ben to fill 48 envelopes.
Learn more about arithmetic
https://brainly.com/question/6561461
#SPJ13
A parasail is $\frac{3}{100}$
mile above the water. After 5 minutes, the parasail is $\frac{1}{50}$
mile above the water. Find the change in height of the parasail.
The change is height is
mile.
The change in height of the parasail = 1/100
What is height?Height of defined as the measurement that is taken for an object which starts from its base to the topmost point. This is usually measured in meters.
From the question,
The height of the parasail above the water level= 3/100
The height of the parasail above the water level after 5 minutes= 1/50
The change in height of the parasail is determined by finding the difference between the two heights.
That is, = 3/100 - 1/50
= 0.03- 0.02 = 0.01
When changed to fraction is = 1/100
Therefore, the change in height after 5 minutes is = 1/100
Learn more about height here:
https://brainly.com/question/28122539
#SPJ1
Copy and complete the prime factor trees
for 21 and 33.
What is the highest common factor (HCF)
of 21 and 33?
21
33
Answer:
21 = 3 * 7
33 = 3 * 11
HCF 3
put these numbers in order, smallest ton largest
3.7 3.77 7.3 3.07 7.33
Answer:
3.07 - 3.7 - 3.77 - 7.3 - 7.33
Step-by-step explanation:
The numbers from smallest to largest^
Use an integer chip model to help you evaluate −8 + (−8) and write the solution on the line.
Answer:
-16
Step-by-step explanation:
there should be two set of -8 add together which is -16
m(d)=-4d^2+16d-40
Convert the function into vertex form.
The function into vertex form is m(d) = -4(d -2 )^2 - 24
Given in the question:
m(d)= - 4d^2 + 16d -40
and, Convert the function into vertex form.
Let's Know:
How do you change a function into vertex form?
m(d) = - 4d^2+16d-40 Convert the function into vertex form.
To convert standard form to vertex form, Convert y = ax2 + bx + c into the form y = a (x - h)2 + k by completing the square. Then y = a (x - h)2 + k is the vertex form.
Come to the solution:
m(d)= - 4d^2 + 16d -40
take out the leading coefficient;
m(d)= - 4(d^2 - 4 x d ) -40
Complete the square
m (d) = - 4(d^2 +(2 x(-2))x d + (-2)^2) + (-40 - (-4 x (-2)^2))
Express the function in vertex form :
m(d) = -4(d -2 )^2 - 24
Hence, The function into vertex form is m(d) = -4(d -2 )^2 - 24
Learn more about Vertex form at:
https://brainly.com/question/13921516
#SPJ1
if an angle and its half form a pair of supplementary angles , what are the measures of the angles
Answer:
100 degrees
Explanation:
2x + x + 30 = 180
3x + 30 = 180
3x = 180 - 30
3x = 150
x =
150
3
x = 50
both angles
2x = 2
×
50 = 100
x + 30 = 50 +30 = 80
larger angle is of 100 degrees
Determine the intercepts of the line.
Do not round your answers.
3x + 2y = 5
Answer:
for x =
[tex]x = 5 - 2y \div 3[/tex]
for y =
[tex]5 - 3x \div 2[/tex]
what is the answer to (-8) - (-1) ?
Answer:
-7
Step-by-step explanation:
the answer is -7 no bracket needed
What are the domain and range of this relation? ( – 3,9) ( – 8, – 7) (3, – 8) (0, – 1) ( – 2,4)
Answer: Domain: -8,-3,-2,0,3 Range: -8,-7,-1,4,9
Step-by-step explanation: To find the domain and range, just see the X values for the domain, and Y values for the range and put them in order from least to greatest. (because this is a relation and not just points, you don't just take the greatest point minus the least)
What is the probability that a randomly chosen student prefers rap or sings in the shower 3-4 times a week
The equation for the probability that student sings or rap in the shower 3-4 times a week is,
[tex]P\text{ (sing or rap)=P(sings) + P(rap) - P(Sings and rap)}[/tex]Substitute the values in the equation to determine the probability hat student sings or rap in the shower 3-4 times a week.
[tex]\begin{gathered} P\text{ (sings or rap)=0}.4+0.5-0.2 \\ =0.9-0.2 \\ =0.7 \end{gathered}[/tex]So answer is 0.7.
2. Three families bought food at a basketball game. The Davis family spend $16.50 on 3 hotdogs, 2
drinks, and 1 pretzel. The Ruiz family spend $26 on 4 hotdogs, 4 drinks, and 2 pretzels. The Cho family
spend $13.75 on 2 hotdogs, 1 drink, and 3 pretzels. Write a system of equations and solve for the price of each item
Answer:
x = $3.5
y = $2.25
z = $1.5
Step-by-step explanation:
let x = price of a hotdog
y = price of a drink
z = price of a pretzel
according to the question:
Davis family spends: 3x+2y+z = $16.50 (equation 1)
Ruiz family spends: 4x+4y+2z = $26 (equation 2)
Cho family spends: 2x+y+3z = $13.75 (equation 3)
from eq. 1
z = 16.50-3x-2y
substituting in eq.2
4x+4y+2(16.50-3x-2y) = 26
4x+4y+33-6x-4y=26
-2x=26-33
thus x = $3.5
from eq. 3
y = 13.75-2x-3z
y = 13.75-2(3.5)-3z
y = 13.75-7-3z
y=6.75-3z
thus,
z = 16.50-3(3.5)-2(6.75-3z)
z = 16.50-10.5-13.5+6z
z-6z = -7.5
-5z = -7.5
thus z = $1.5
thus
y = 6.75-3(1.5)
y = $2.25
How do you solve Mr.Fillbach drinks 1 cup of orange juice every morning He bought a 1 gallon jug of orange juice How many mornings will he be able to have orange juice before having to buy more juice
Mr. Fillbach will be able to have orange juice before having to buy more juice for 16 mornings.
The gallon is a unit of volume in imperial units and us a customary device. 3 one-of-a-kind variations are in modern use: the imperial gallon.
A clean manner to discern from liters to gallons, for an instance, is that a quart is a bit much less than a liter and 4 liters is a touch extra than 1 gallon. To be specific, 1 liter is 0.264 gallons (a bit greater than a quart), and four liters is 1.06 gallons. Q-I need to shop for a 35 mm. A gallon is equal to approximately 3.78541 liters. consequently, a gallon is larger than 3 liters.
Cups and liters each measure the extent of beverages, so whether or not you need to know how many cups are in a liter or water, oil or a bottle of soda, there will constantly be approximately four.3 cups in a liter! The liter is a metric measurement closest to the quart in imperial measurements.
Given,
Mr.Fillbach drinks 1 cup of orange juice every morning.
He bought a 1-gallon jug of orange juice.
Since there are 16 cups in 1 gallon.
Therefore, he is able to have orange juice before having to buy more juice = for 16 days
Learn more about gallon here:-https://brainly.com/question/1106482
#SPJ1
4. An object will most effectively absorb the
sun's rays if it is
(A) polished, and dark in color.
(B) polished, and light in color.
(C) rough, and light in color.
(D) rough, and dark in color.
instructions! answer the question, add me as a friend, put funny explanation, and tell name:)
666666 X 4443332221119111
i will make brainliest to best one!
The numbers are 666666 X 4443332221119111. The number solved multiplication is [tex]2.962218518 \times10^{21}[/tex].
Given that,
The numbers are 666666 X 4443332221119111
We have to solve the number multiplication.
Multiplication means the fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The outcome of multiplying two or more numbers is referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes it simpler to add the same number repeatedly.
666666 X 4443332221119111
[tex]2.962218518 \times10^{21}[/tex]
Therefore, the number solved multiplication is [tex]2.962218518 \times10^{21}[/tex].
To learn more about multiplication visit: https://brainly.com/question/2364418
#SPJ1
|z-18|-15=-5 , what's the absolute value for Z?
Answer:
8
Step-by-step explanation:
absolute value of z-18 = z + 18
z + 18
-15
______
z + 3
z + 3 - 3 = -5 - 3
z = -8
|z| = |-8|
z = 8
hope this helped ^^
I need Algebra II help. Solve for x. 6x-10≤8 or 1/3x+6>12
If you can, please add an explanation. Thank you sm!
The solution of the inequality is x ≤ 3 or x > 18.
An inequality in mathematics is a relation that compares binary number or other mathematical in an unequal way.
The majority of the time, size comparisons between two figures on the number line are made. Different types of inequalities are represented by a variety of notations . The symbol for "larger than" that is divided in half by the word "not" can also be used to denote the relationship not greater than. For not fewer than and and a b, the same holds true.Now let us solve the inequality:
6x - 10 ≤ 8
adding 10 on both sides:
or, 6x -10+10 ≤ 8+10
or, 6x ≤ 18
dividing both sides by 6 we get :
or, 6x ÷ 6 ≤ 18 ÷ 6
or, x ≤ 3
For the second inequality:
1/3x+6>12
subtracting 6 from both sides :
or, 1/3x+6 - 6 > 12 - 6
or, 1/3 x > 6
Multiplying both sides by 3
or, x > 18
Therefore the complete solution is x ≤ 3 or x > 18 .
To learn more about inequality visit:
https://brainly.com/question/11612965
#SPJ1
Find
(3.2x10¹0) (3.75x10⁰)
(4x10°) (6x105)
expressed in scientific notation.
PLEASE HELP!!! I WILL GIVE BRAINLIEST
The scientific notation of the given numbers is 12 x [tex]10^{10}[/tex] and 24 x [tex]10^{5}[/tex].
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, the scientific notation for 650,000,000 is 6.5 x [tex]10^{8}[/tex]
The given numbers are
(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex])
and (4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex])
So, Considering these numbers one by one,
(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex])
We multiply 3.2 and 3.75 and add the exponents of 10.
(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex]) = 12 x [tex]10^{10}[/tex]
Now the second number that we have is (4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex])
We multiply 4 and 6, and we add the exponents of 10.
(4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex]) = 24 x [tex]10^{5}[/tex]
To read more about scientific notation, https://brainly.com/question/18073768
#SPJ9
What is the area of this trapezoid 13 cm 15cm 29cm
Answer:315
Step-by-step explanation:
Dividing Decimals: Rounding the quotient
0.03 divided by 0.148 =
The quotient when 0.03 is divided by 0.148 after rounding it off is 0.2.
According to the question,
We have the following information:
0.03 is divided by 0.148
Now, we have the quotient as:
0.2027
Now, when rounding off the numbers we know that the digits from where we are rounding off we look at the right next to that digit and when that digit is greater than 5 then the digit should be increased by 1 and when that digit is less than 5 then the digit should be the same.
So, we will round it off by taking the underlined digit to be next to first 2:
So, the digit is 0.
Then, we have:
0.2
Hence, the quotient when 0.03 is divided by 0.148 after rounding it off is 0.2.
To know more about quotient here
https://brainly.com/question/16134410
#SPJ1
What is the value of the expression −34 − 17 − (−22)?
A. 39
B. 5
C. −29
D. −73
[tex] = - 34 - 17 + 22 \\ = - 51 + 22 \\ = - 29[/tex]
THE ANSWER IS OPTION C.
In the American flag there are 7 red stripes for
every 6 white stripes. How many red stripes
and white stripes are there in 120 American
flags?
Total number of stripes in 120 American flag = 120 × 13 = 156 stripes
When do we use unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
1. In simple terms, the unitary method is used to find the value of a single unit from a given multiple.
2 . If we need to find the ratio of one quantity with respect to another quantity, then we need to use the unitary method.
Given: Number of red stripes in American flag : 7 stripes
Number of white stripes in American flag = 6 stripes
Thus total number of stripes in an American flag = 6 + 7 = 13 stripes
By using unitary method we get ;
Number of stripes in 120 American flag = 120 × 13 = 156 stripes
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ13
Hafsa has planted a total of 40 plants in her new garden. 22 of these are flowering cacti. What percentage of the plants are flowering cacti?
Answer:
55%
Step-by-step explanation:
22 ÷ 40 × 100 = 55
Hope this could help you
Match each equation with the slope m and y-intercept of its graph.
A. m = -6, y-int = (0, 12)
1.5x-6y=30
B. m = -6, y-int = (0,5)
C. m = -, y-int = (0, 1)
D. m = 2, y-int = (0, 1)
E. m = 2, y-int = (0, -1)
F. m = , y-int = (0, -5)
2. y = 5-6x
3.y = x+1
4.5x-6y=6
5.5x+6y=6
6.6x + y = 12
For 5x-6y=30, slope = m = 5/6 and y-intercept = (0, -5)
For y = 5-6x, slope = m = -6 and y-intercept = (0, 5)
For y = x+1, slope = m = 1 and y-intercept = (0, 1)
For 5x-6y=6, slope = m = 5/6 and y-intercept = (0, -1)
For 5x+6y=6, slope = m = -5/6 and y-intercept = (0, 1)
For 6x + y = 12, slope = m = - and y-intercept = (0, 12)
What is the slope-intercept form of a line?
The line with m as the slope, and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
Given, the first equation is 5x - 6y = 30
Solving the equation for y, we get: y = (5/6)x + (-30/6) = (5/6)x + (-5)
Comparing this to the standard slope intercept form in literature, we have, slope = m = 5/6 and y-intercept = (0, -5)
The second equation is y = 5 - 6x
Solving the equation for y, we get: y = (-6)x + 5
Comparing this to the standard slope intercept form in literature, we have, slope = m = -6 and y-intercept = (0, 5)
The third equation is y = x + 1
Solving the equation for y, we get: y = x + 1
Comparing this to the standard slope intercept form in literature, we have, slope = m = 1 and y-intercept = (0, 1)
The fourth equation is 5x - 6y = 6
Solving the equation for y, we get: y = (5/6)x + (-6/6) = (5/6)x + (-1)
Comparing this to the standard slope intercept form in literature, we have, slope = m = 5/6 and y-intercept = (0, -1)
The fifth equation is 5x + 6y = 6
Solving the equation for y, we get: y = (-5/6) + (6/6) = (-5/6)x + (1)
Comparing this to the standard slope intercept form in literature, we have, slope = m = -5/6 and y-intercept = (0, 1)
The sixth equation is 6x + y = 12
Solving the equation for y, we get: y = (-6)x + 12 = (-6)x + 12
Comparing this to the standard slope intercept form in literature, we have, slope = m = - and y-intercept = (0, 12)
To learn more about this tap on the link below:
https://brainly.com/question/19440459
#SPJ9
find the area of this circle
Answer:
Formula given : Area = πr²
where r is the radius
the given radius is 5 inches
and pi is 3.14
so 3.14x 5²
3.14 x 25
the area is 78.5 in²
hope it helps, mark as brainliest :D
Answer:
A = 78.54 in²
Step-by-step explanation:
A = πr²
A = π(5²)
A = 25π
A = 78.54 in²
Find the equation of each line in slope intercept form
Answer:
The equation is y = 1/2x +4
this is difficult please help I need to know the answer I give more point pls help.
Answer:
decagon
Step-by-step explanation:
all angles measure 360, divide by 10 sides, answer is 36. lmk if you need a more in depth explanation
What number is 150 decreased by 15%?
Answer:127.5
Step-by-step explanation:
PLEASE HELP QUICK !!
Answer:
The second option: f(x) = -(200/x)
Step-by-step explanation:
We can see that the input of the function is 20 and the output is -10. For the inverse, these values will swap: -10 will be the input and 20 will be the output.
Given that, we can substitute -10 into each equation and use trial and error to find out which one gives 20 as the output.
The first one, f(x) = -(0.5/x) will give an output of -(0.5/-10) = 1/20, which is incorrect.
The second one, f(x) = -(200/x) will give an output of -(200/-10) = 20, which is correct. Therefore, this must be the inverse. There will only be one inverse, so we don't need to try the rest.
