Arnold's entire workout consisted of 10 minutes of warm up exercise, 25 minutes of lifting weights, and 15 minutes on the treadmill. What was the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout?
Add all the times together:
10 + 25 + 15 = 50 minutes total.
For the ratio divide the time for weights by total time:
25/50 which reduces to 1/2
The ratio is 1/2
Answer:
15:50 = 3:10
3:10 is the answer
A factory produces bags of rubber bands. A bag of rubber bands has five different sizes: extra large (XL), large (L), medium (M), small (S), and extra small (XS). A quality control specialist collects a random sample of 450 rubber bands from the bagging machine and calculates a chi-square goodness-of-fit test to see if the frequencies for each size in the sample match the hypothesized distribution. The quality control specialist will test his sample against the following null hypothesis.H0:pXL=0.10,pL=0.20,pM=0.40,pS=0.20,pXS=0.10 How many medium rubber bands are expected in the random sample of 450 rubber bands?
Answer:
The expected frequency is 90
Step-by-step explanation:
If the given probabilities are taken as observed
pXL=0.10, 450*0.1= 45
pL=0.20, 450*0.2= 90
pM=0.40, 450*0.4= 180
pS=0.20, 450*0.2= 90
pXS=0.10 450*0.1= 45
We can assign the expected frequencies to be 450/5= 90 each
The chi square goodness fit test can be calculated as
Observed Expected (o-e) (o-e)² (o-e)² /e
45 90 -45 2025 22.5
90 90 0 0 0
180 90 90 8100 90
90 90 0 0 0
45 90 -45 2025 22.5
∑ 135
χ²= 135
The χ² value at 0.05 is 9.49
The result is significant.
Answer:
180
Just took the test
Hellpppppppppppppppppppppppppppppppppppppppp
Answer:
._. -_- -.- .-. --__--
Step-by-step explanation:
What is the equation of the line that is the perpendicular bisector of the segment
with (10,-15) and (-10, 25) as endpoints?
y= kx + 10
y= kx + 5
y= -x + 10
y = 2x + 5
Answer:
y= kx + 5Step-by-step explanation:
Perpendicular bisector passes through the midpoint of the line.
The midpoint is:
x = (10 - 10)/2 = 0y = (-15 + 25)/2 = 5Slope of the line:
m = (25 - (-15))/(-10 - 10) = -2The line perpendicular to this has to have a slope of 1/2 as perpendicular lines have opposite-reciprocal slopes.
Use point-slope form and point (0, 5) to find the equation of the line:
y - 5 = 1/2(x - 0)y = 1/2x + 5Correct option seem B as others don't match ours
Write the equation of the line (in point-slope form) that passes through the point (3, -4) and has a slope of 6.
Answer:
y+4=6(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=6(x-3)
y+4=6(x-3)
PLEASE HELP!
Find the area and circumference of the following. Leave in terms of pi. * 2 poir
16
Area = 100pi and Circumference = 50 pi
Area = 256pi and Circumference = 32 pi
Area = 100 pi and Circumference = 55 pi
Answer:
B. Area = 256pi & Circumference = 32pi
Step-by-step explanation:
Area = pi r^2
A = pi (16)^2
A = 256pi
Circumference = 2pi r
C = 2(pi)(16)
C = 32pi
7x+1=3x+9 basic equations
Answer:
= 2
Step-by-step explanation:
Answer:27
Step-by-step explanation:
PLZ HELP ASAP 50 PTS (MATH) + Brainliest
1) Factor the trinomial. Show ALL work:
x2 − 5x + 6
2) Factor the polynomial using grouping. Show ALL work:
5x3-2x2+25x-10
3( Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
4( Choose ONE of the following polynomial and factor completely, showing ALL work.
16x2 − 81
15x2 − 35
3x2 + 21x + 36
Answer:
x+3 and x+2( 5 x + 2 ) ( x 2 + 5 )9x^2+163x2 + 21x + 36Step-by-step explanation:
x2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.
Factoring polynomials by splitting the middle term:
We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.
On solving this we obtain, a = 3 and b = 2
Thus, the above expression can be written as:
x2 + 5x + 6
= x2 + 3x + 2x + 6
= x(x + 3) + 2(x + 3)
= (x + 3)(x + 2)
Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.
For Step 1, you just want to find all combinations of two numbers that multiply together to be 56. Make sure you take negatives into account. Those pairs of numbers are:
(p, q, p+q)
(1, 56, 57)
(-1, -56, -57)
(2, 28, 30)
(-2, -28, -30)
(4, 14, 18)
(-4, -14, -18)
(7, 8, 15)
(-7, -8, -15)
Use those pairs of numbers and their sums to fill in the three columns of your table.
STEP 2 Look down your p+q column to find the pair of numbers that add up to equal to -15. That's (p, q) = (-7, -8). STEP 3 Using the information from steps 1 and 2, you can factor the trinomial like this: x2 - 15x + 56 = (x + p)(x + q) = (x - 7)(x - 8) FOIL that back out if you'd like, to make sure the expressions are equivalent. STEP 4 Hopefully, seeing steps 1 through 3 worked out will help you with step 4. Find all the pairs of numbers that multiply together to be 36 (1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, and all their negative equivalents), then figure out which pair has a sum of 12. That means you've found your p and q, and can factor the trinomial as (x + p)(x + q).Answer:
1) Factor the trinomial. Show ALL work:
(x-2)(x-3) steps see explanation
2) Factor the polynomial using grouping.
Group and factor out the greatest common factor (GCF), then combine.
[tex](5x-2) (x^{2} +5)[/tex]
4) Choose ONE of the following polynomial and factor completely.
15x2 − 35 = [tex]5 (3x^2-7)[/tex]
Step-by-step explanation:
x2−5x+6
The middle number is -5 and the last number is 6.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that
Add together to get -5
Multiply together to get 6
Try -2 and -3:
-2+-3 = -5
-2*-3 = 6
Fill in the blanks in
(x+_)(x+_)
with -2 and -3 to get...
(x-2)(x-3)
4( Choose ONE of the following polynomial and factor completely,
15x^2-35
35 as 5*7
15 as 5*3
= 5*3x^2-5*7
PLEASE HURRY!!!! 100 POINTS
What is the unit rate of each snack?
Answer:
34.9
Step-by-step explanation:
Yes. : )
Please help me with all three. 100 brainly points
WILL MARK BRAINLIEST!
The solution to the given functions are:
a) f(x) is an even function because f(−x) = f(x)
b) f(x) is an odd function because f(-x) = -f(x)
c) f(x) is neither even nor odd because f(-x) ≠ f(x) nor f(-x) ≠ -f(x)
How to find the even or odd function?A function f is said to be an even function if f(−x) = f(x), for all x in the domain of f. A function f is said to be an odd function if f(−x) = −f(x), for all x in the domain of f.
a) The function is given as:
f(x) = 2x⁴ - x² - 4
f(-x) = 2(-x)⁴ - (-x)² - 4
= 2x⁴ - x² - 4
Thus, it is an even function because f(−x) = f(x)
b) The function is given as:
f(x) = 2x³ + ¹/₋ₓ
f(-x) = 2(-x)³ + ¹/₍₋ₓ₎
= -2x - ¹/ₓ
Thus, it is an odd function because f(-x) = -f(x)
c) The function is given as:
f(x) = 2x² - 7x + 10
f(-x) = 2(-x)² - 7(-x) + 10
f(-x) = 2x² + 7x + 10
Thus, it is neither even nor odd because f(-x) ≠ f(x) nor f(-x) ≠ -f(x)
Read more about Even or odd function at: https://brainly.com/question/13048723
#SPJ1
Find the measure of <4.
{{
24
158°
KE
* 4 = [?]
<4=22°
Answer:
<4+158=180 co interior angle
<4=180-158=22°
Answer:
solution given:
<4+<158°=180°[co- interior angle]
<4=180°-<158°=22°
<4=22° is your answer
Three vans can carry
18 adults. How many
adults are in 7 vans?
Answer:
42
Step-by-step explanation:
18/3= 6
6x7= 42
Answer:
42 with u need me to explain just say it in the comments :) hope this help
Step-by-step explanation:
How to do subtract 1.7 from 3 show your work
Help asap! First response= Brainliest!!
Answer:
3/3
Step-by-step explanation:
here ya go
13. Ochieng had sh. 250 as pocket money at the beginning of the term. In the middle of the
term, he was left with 2/5 of this amount. How much did he spend?
Answer:
sh.150.00
Step-by-step explanation:
2÷5×250
=100
250-100
=150
Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5
9514 1404 393
Answer:
2) 1/3
Step-by-step explanation:
The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.
[tex]x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}[/tex]
_____
Your calculator can help you answer this:
1/5 = 0.2
1/3 = 0.333.... (repeating) . . . . the number you're looking for
3/10 = 0.3
3/5 = 0.6
I Need all the help please?
Consider the functions f(x) = x2 - 4x and
g(x) = (x - 2)2 + 3.
Which of the following statements are true? Select all that apply.
A)The graphs of f(x) and g(x) share the same axis of symmetry.
B)The graphs of f (x) and g(x) share the same y-intercept.
C)The graphs of f(x) and g(x) share the same
x-intercepts.
D)The graph of f(x) and g(x) open in the same direction.
The graph of f(x) is wider than the graph of g(x).
E)The vertical distance between the vertex of f(x) and the vertex of g(x) is 4 units.
Answer:
A, D
Step-by-step explanation:
graphed each function and looked at graphs to determine which statements were true
The length of a rectangle is 4 inches longer than its width. The area of the rectangle is 32 inches square. What is the width ? The width is ___ inches
Answer:
I hope this helps dear
Step-by-step explanation:
P = 2(L + W) = 32 in
L = W + 4
2[(W + 4) + W] = 32 in ⇒
W = 6 in
L = W + 4 = (6 + 4) in = 10 in
A = LW = (10)(6) in2 = 60 in2
Chris borrowed $2,000 from the bank. The interest rate was 3.5% for 5 years. How much does he owe the bank?
Two lines, A and B, are represented by the following equations:
Line A: 2x + y = 6
Line B: x + y = 4
Which statement is true about the solution to the set of equations? (4 points)
a It is (2, 2).
b There are infinitely many solutions.
c It is (4, 0).
d There is no solution.
Answer:
The answer is B! if you want to do more of these problems may I recommend using Desmos?
Answer:
It is (2, 2).
Step-by-step explanation:
Which is the solution to the inequality?
1/4+x<5/6
A: x<7/12
B: x>7/12
C: x<1 1/12
D: x> 1 1/12
Answer: x<7/12
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
to isolate 'x', subtract 1/4 from 5/6
you can use a common denominator of 12
1/4 = 3/12
5/6 = 10/12
x < 10/12 - 3/12
x < 7/12
which of the following describes the data set? 6,7,11,14,20,30,35
Answer:
D
The numbers are already in order so you don't need to do anything
Answer:
its b for me but d for yall
Step-by-step explanation:
all you do is count up hope this helps can u mark me brainlest
Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?
Please answer WITHEXPLANATION!
Answer:
25
Step-by-step explanation:
A = 70*M
B = 500 + 50*M
Costing the same means equal, so we have the equation:
70M = 500 + 50M
-50M -50M
20M = 500
20M / 20 = 500 / 20
m- 25 months
Multiply (2-5i)(2+5i)
Answer:
29
Step-by-step explanation:
4 - 25i^2
4 - 25x(-1)
4 + 25 = 29
the ^2 means exponent 2
Tell whether b=6 is a solution of 8b=48
Answer:
b= 6 for sure
Step-by-step explanation:
2.8332 rounded to the nearest thousand
Find the common ratio of the geometric sequence –4, 12, -36,...
Answer: -3
Step-by-step explanation:
The common ratio of the geometric sequence –4, 12, -36,... is -3.
12/(-4) =-3
-36/(12) = -3
They both multiply -3 for the next number.
Can you help me with this please!?
9514 1404 393
Answer:
(a) 2021
Step-by-step explanation:
The expression can be simplified.
[tex]\displaystyle\frac{a^4+b^4+2a^2b^2+a^3b+ab^3}{a^2+b^2}+ab=\frac{(a^2+b^2)^2+ab(a^2+b^2)}{a^2+b^2}+ab\\\\=a^2+b^2+ab+ab=(a+b)^2\\\\=(\sqrt{2021})^2=\boxed{2021}[/tex]
Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 10 points
I will mark you as Brillant if you answer it
Step-by-step explanation:
0/1 , 1/1
Multiply there denominators with any number...
0/1×60=0/60
1/1××60=60/60
Now,
You have many choices...
1/60,10/60,30/60,2/60,5/60........so on....