The tallest living man at one time had a height of 224 cm. The shortest living man at that time had a height of 97.8 cm. Heights of men at that time had a mean of 174.21 cm and a standard deviation of 5.56 cm. Which of these two men had the height that was more extreme?
Answer:
the shorter man
Step-by-step explanation:
224 cm minus 174.21 = 49.79
49.79/5.56= approximately 9 standard deviations from the mean.
174.21 minus 97.8= 76.41
76.41/5.56= approximately 14 standard deviations from the mean.
bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.
whats 332.23 (234.320)
Answer:
The answer is 77848.1336
slope of the line (1,2)(4,1)
Answer:
-1/3
Step-by-step explanation:
y2 - y1 / x2 - x1
(1,2)(4,1)
1-2 / 4-1
-1/3
PLEASE HELP ME!! ILL GIVE BRAINLIEST!!
Kate is making hamburgers for her friends and has 7 1/2. pounds of hamburger. How many 1/4 pound of hamburgers can she make?
A. 15
B. 4
C. 30
D. 120
Answer:
C
Step-by-step explanation:
1/4 is .25
4 fourths is 1. 4 times 7 equals 28 hamburgers. one half is two fourths. 28+2=30 hamburgers.
No of hamburgers she can make
[tex]\\ \sf\longmapsto 7\dfrac{1}{2}\div \dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{15}{2}\times \dfrac{4}{1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{60}{2}[/tex]
[tex]\\ \sf\longmapsto 30[/tex]
Alice needs to mix 4 cups of baking soda with 3 cups of water to make a cleaning solution. How many cups of baking soda are needed for each cup of water?
Answer:
1.33
Step-by-step explanation:
Divide 3 by 3, making it one. Now divide 4 by 3, making it 1.33.
Calculus, derivatives. Please help! Show work, if possible. Thanks! :)
Answer:
y=-x+pi/3+sqrt(3)/2
Step-by-step explanation:
*I assume you are asking for help on part a because the other question is a calculator question.*
We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.
First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)
Differentiate using chain rule:
y'=2cos(2x)
y' gives us the slope for any tangent along our curve.
So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.
We also need to know a point our line to find the equation of our line.
At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.
So a point on our line is (pi/3, sqrt(3)/2).
So by point-slope form of a line we have
y-y1=m(x-x1)
y-sqrt(3)/2=-1(x-pi/3)
Distribute:
y-sqrt(3)/2=-x+pi/3
Add sqrt(3)/2 on both sides:
y=-x+pi/3+sqrt(3)/2
Answer:
y= -x+(pi/3)+(sqrt3)/2
Step-by-step explanation:
The given is y=2sin(x)*cos(x)
to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get
y'=2(sin(x)*-sin(x)+cos(x)*cos(x))
this would simplify to be
y'=-2sin^2(x)+2cos^2(x)
We then substitute in the given x value to find the slope of the tangent line at that point and get
-2sin^2(pi/3)+2cos^2(pi/3)
which simplifies to
-2*3/4+2*1/4
which is -1
Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)
now we write the point slope form equation
y-(sqrt3)/2= -(x-pi/3)
y-(sqrt 3)/2 = -x+pi/3
y= -x+pi/3+(sqrt3)/2
you could simplify the last two terms, but I think it is simplest to understand this way.
For b, enter both equations into graphing software or a calculator
(2) Below is the graph of a function, y = f (x).
(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)
(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.
Answer:
Step-by-step explanation:
a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.
b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.
How are x and y related in the equation 7 (x - y) = 0?
O = -Y
O x=y
O 7x = y
O 7x = -Y
Ana and Ling are solving |3x + 14| = -6x.
Is either of them correct?...............................
Explain your reasoning.
Answer:
No! Both are wrong!
Step-by-step Explanation:
the value of absolute function, (|.|) is always positive
that means -6x always has to be positive
and for -6x to be positive x has to be negative
(since, two negatives make a positive)
therefore, the value of x to the equation will be a negative value and not a positive one.
Ana thinks both positive and negative values of x will be the solution, whereas Ling thinks negative value of x can't be a solution. So, they're both wrong.
ONLY negative value of x will be the solution.
The ratio of boys to girls in a group is 7:3 There are 60 more boys than girls. Work out how many girls are there?
Answer:
45 girls
Step-by-step explanation:
There is 4 more boys than girls in each ratio.
60 boys / 4 = 15 groups where there is more boys
3 (girls) x 15 groups = 45 girls in total
Given the geometric Saquence 5.14, 45--- find the next three term & the tenth term
Answer:
Step-by-step explanation:
You have some mistakes in the sentence. Also, can you add more information? I'd be glad to help you
What is 33.61111111 in fraction form
The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .
____________________
Step-by-step explanation:
Based on the assumption that the "1" repeats infinitely; in the given value:
" 33.61111111 ...." ;
_______
Note that the "611" ; after the decimal point; this goes to the "thousandths";
place (is "3 (three) digits long.").
_______
As such; we rewrite the number as:
_______
" [tex]\frac{33.611}{1}[/tex] " ;
and we multiply BOTH the "numerator" And the "denominator" by: "1000" :
_______
→ " [tex]\frac{(33.611)*(1000)}{(1)*(1000)}[/tex] " ;
to get:
→ " [tex]\frac{33611}{1000}[/tex] " ; → which cannot be reduced any further.
_______
The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .
_______
Hope this is helpful to you!
Wishing you the best!
_______
Check
Curtis deposits $550 into a savings account. The account pays 175%
simple interest on an annual basis. If he does not add or withdraw
money from the account, how much interest will he earn after
3 years?
Answer:
2,887.50
Step-by-step explanation:
First changing percent to decimal 175% - 1.75
I = 550 × 1.75 × 3 = 2,887.50
Danielle and 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $650 per week. How much did she earn last week if she sold $4,900 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Step-by-step explanation:
She earns $1046 that week
I will give brainliest to the right answers
please help
Answer:
C
Step-by-step explanation:
Steven uses a
caliper that has an absolute error of 0.02 millimeters. An object's width is measured
using the caliper, which records a width of 14.5 millimeters. What equation would represent the situation?
A. |x-0.02|=14.5
B. |x-14.5|=0.02
C. |0.02-x|=14.5
D. |14.5-0.02|=x
The relationship between the measured value, error and actual width of the object is |x - 14.5| = 0.02
The measurement error = 0.02 millimeters The measured width of caliper = 14.5 millimetersIf the actual width of the caliper is represented as x
The measurement error is an absolute value which can be calculated thus :|Actual value - measured value| = absolute error |x - 14.5| = 0.02Therefore, the equation which represents the scenario described is |x - 14.5| = 0.02
Learn more : https://brainly.com/question/15748955
Lisa and Molly were digging holes in the sand at the beach to build their sandcastles. Lisa dug an 11 foot hole and Molly dug a 14 foot hole. Find the difference in depth.
the difference in depth is 3 feet, you can find this by the equation 14-11
compare the expressions
3 X 10 and 15 x 20 without multiplying them. Explain how she
could compare the factors to compare the expressions without
multiplying them.
Answer:
yes
Step-by-step explanation:
Well 3 is a factor of 15, and 10 a factor of 20. So 15/3 is 5, and 20/10 is 2.
5*2 is 10, which means that 15*20 is 10 times greater than 3*10.
If you actually did multiply them, 15 by 20 is 300 and 3 by 10 is 30. It would logically be correct.
A bookstore is having a 30% off sale. What is the sale price for a hardcover book that normally retails for $28.99?
Answer:
.30times 28.99=$8.697
Show that x is not the factor of 2x*3-x*2-2x+1
Answer:
See explanation
Step-by-step explanation:
If we have a polynomial in x with x as a factor, we know that there will be no constant term. This arises because every term will be a multiple of x, and thus there will be know constant term.
Because there is a constant term in our polynomial, namely 1, x is not a factor of [tex]2x^3-x^2-2x+1[/tex], as desired.
Answer: You divide using polynomial long division or synthetic division and if the remainder is 0 then it is a factor.
Step-by-step explanation:
15 is 37 1/2 of what number?
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40
solve include real and non real solutions.
x^2-8=0
Answer:
[tex]x=+2\sqrt{2} and-2\sqrt{2}[/tex]
Step-by-step explanation:
[tex]x^2-8=0[/tex]
[tex]x^2=8[/tex]
[tex]\sqrt{x^2} = \sqrt{8}[/tex]
[tex]x=2\sqrt{2}[/tex]
plus or minus
PLEASE HELP ME, GUYS!
Answer:
Okay I got youuu
Step-by-step explanation:
From the point Z go 5 right and 3 units up (5,3), and label it Z'. Do this for L and X, too.
The final answer is Z'(2,3) X'(5,0) L'(3,-1)! Hope this helps!
Mandy is making a bouqet of flowers. She goes to a flower shop and finds 3 types of rose, 2 types of peony, 3 types of lily and 5 types of carnation. She only wants to buy 2 flowers. How many possible flower combinations can she choose from?
Answer:
Mandy is making a bouqet of flowers. She goes to
Answer:
possible flower combinations can she choose from?
Step-by-step explanation:
possible flower combinations can she choose from?
a tire plant makes 10 tires perm inute. If the tire plant runs for 10hours a day, how many days will it take to make 6 million tires?
Answer:
1,000 days
Step-by-step explanation:
6 tires per minute = 600 per hour
600 per hour times 10 hours = 6,000 per day
Divide 6,000,000 by 6,000 per day = 1000 days.
PLEASE HELP look at this screenshot is it a, b, c, or d
Answer:
D.
Step-by-step explanation:
Shane rare book collection contains 40 books. He donates 20% of his books to the national libary. he sells 1/4 of his books to a rare book dealer. the remaining he sells online. how many books did he sell online? NO LINKS!
A:8
B:10
C:18
D: 22
Calculate the sum.
2/9+5/9
options:
79
718
1845
−39
Answer:
7/9
Step-by-step explanation:
2+5=7
Denominator stays the same 9
So it's 7/9
Answer:
You sure bout that this is the answer
Step-by-step explanation:
2/9=0.2~ + 5/9=0.5~ =0.777777778 or 7/9
Which glide reflection describes the mapping triangle ABC to triangle DEF?
Marjorie needs to cut 5 yards of fabric into sections that are of a yard long. How many sections will she be able to cut from the fabric?
Answer:
5 sections
Step-by-step explanation:
5 yards of fabric is cut in 1 yard long
1 yard +1 yard +1 yard +1 yard +1 yard = 5 yards
5 sections