=======================================================
Explanation:
Use your calculator to convert each fraction into decimal form
2/3 = 0.67 approximately
3/4 = 0.75 exact
The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".
So 0.67 < 0.75 which leads to 2/3 < 3/4.
Aryan spent more time exercising.
--------------
We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get
3/4 - 2/3
9/12 - 8/12
(9-8)/12
1/12
Aryan spent 1/12 of an hour longer exercising compared to Naitik
1/12 hour = (1/12)*60 = 60/12 = 5 minutes
He spent 5 extra minutes exercising.
----------------
Notes:
2/3 hours = (2/3)*60 = 40 minutes3/4 hours = (3/4)*60 = 45 minutes45-40 = 5 extra minutes of exerciseWhat is the magnitude of -5+ 12i?
Here the picture, :D
The magnitude of the complex number -5 + 12i is 13 which we obtained by using formula, Magnitude [tex]= \sqrt{ a^2 + b^2}[/tex].
To find the magnitude of a complex number in the form of a+bi, where a and b are real numbers, the formula can be used is:
Magnitude = |a+bi|
[tex]= \sqrt{ a^2 + b^2}[/tex]
The given complex number is -5 + 12i.
we have a = -5 and b = 12.
Plugging these values into the formula, we get:
Magnitude = | -5 + 12i |
[tex]= \sqrt{ (-5)^2 + 12^2}[/tex]
[tex]= \sqrt{ 25 + 144}[/tex]
[tex]= \sqrt{ 169}[/tex]
= 13
Therefore, the magnitude of -5 + 12i is 13.
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Don invested $ 5 000 in an account paying 5% simple interest per year for 7 years.
Answer:
FV= $6,750
Step-by-step explanation:
Giving the following information:
Initial investment (P)= $5,000
Interest rate (r)= 5% simple interest
Number of periods (t)= 7 years
To calculate the future value of the investment, we need to use the following formula:
FV= (P*r*t) + P
FV= (5,000*0.05*7) + 5,000
FV= 1,750 + 5,000
FV= $6,750
A fish tank holds approximately how much water?
Answer:
Fish tanks come in all different sizes. I can't answer unless you tell me the dimensions (Length, width, height)
Step-by-step explanation:
If you can paint 75 square feet every 45 minutes how long will it take to paint a 8 by 5
Answer:
24 minutes
Step-by-step explanation:
The Dimensions of the wall are given as:
8ft × 5ft = 40ft² or 40 square feet
Step-by-step explanation:
Answer:
24 minutes
Step-by-step explanation:
8 * 5 = 40 ft²
---------------------------
Method I: Use a proportion
x/40 = 45/75
multiply both sides by 40
x = 45/75 * 40
x = 24
24 minutes
---------------------------
Method II: Use the rate
45/75 = 0.6min/ft²
40 * 0.6 = 24
24 minutes
Create the formula for the geometric sequence:
1, 4, 16, 64...
Answer:
since you are helping me with my answer on my other account, cutiepatato about the discrimination
imma try my best to help answer yours <3
the picture is in the box
Step-by-step explanation:
The ratio of Alex's toy cars to Jim's is 8:3. How many toy cars do they have altogether, if Alex has 40 more cars than Jim?
Answer:
88
A:J
8:3
a - 40 = j
8y - 40 = 3y
5y = 40
y = 8
8 *11 = 88
Step-by-step explanation:
Hope i helped! have a nice day
Answer:
88
Step-by-step explanation:
I know this because I used a secret method my parents told me that I can't tell anyone.
Consider the function g (x) = StartFraction x squared + 7 x minus 18 Over x squared + 2 x minus 8 EndFraction. Which type of discontinuity does the function have at x = –4? jump mixed infinite removable
Answer:
D. Removeable
Step-by-step explanation:
ed2021
Answer:
It's actually C, infinite!
Step-by-step explanation:
Re write this expression 4(6 x +12)
Answer:
24 (x + 2)
24x + 48
these are two ways to rewrite the expression
Answer:
24x+48
Step-by-step explanation:
Please help quickly as possible thank you! :)
Answer:
329.5ft
Step-by-step explanation:
First one: ((4+18+26)x10)/2
Second: +(18x4)
Third: (7x5)/2
=240+72+17.5
=329.5
find the measure of YWX
Answer:
it's 99 .................
The survey was done to test the suggestion that the proportion of younger adults who use their horn is greater than the proportion of older adults who use their horn. Which of the following represents the hypotheses that we will be testing, assuming that p1 represents the population proportion of all young adults 20-39 who report using their horns and that p2 represents the population proportion of all older adults 60+ who report using their horns?
a. H0: p1=p2 versus Ha: p1>p2
b. H0: p1=p2 versus Ha: p1
c. H0: p1=p2 versus Ha: p2>p1
d. H0: p1=p2 versus Ha: p1=/=p2
Answer:
a. H0: p1=p2 versus Ha: p1>p2
Step-by-step explanation:
Given that
p1 represent the proportion of the population for young allots 20-39
And, p2 denotes the proportion of the population for all older adults that are above 60
So,
We need to find out the hypotheses
The null & alternative hypothesis is
H_o: P_1 = P_2
H_a: P_1>P_2
This shows the right tailed test
PLEASE HELP
there were 16 more nickels than dimes in the purse. if there were a hundred coins total how many nickels were there?
Answer:
58
Step-by-step explanation:
There would be 58 nickels and 42 dimes. This can be found out by
1. 100 - 16 = 84
2. 84/2 = 42
3. 42 + 16 = 58
making 42 dimes and 58 nickels.
Use the formula C C = 2pi * r and pi = 3 . 14 to find the circumference of a circle with a radius of 5 meters.
Answer:
Circumference of circle = 31.4 square meter
Step-by-step explanation:
Given:
Radius of a circle = 5 meter
Value of π = 3.14
Find:
Circumference of circle using formula "2πr"
Computation:
Circumference of circle = 2πr
By putting value of 'r' and 'π' in given formula
Circumference of circle = 2(3.14)(5)
Circumference of circle = (6.28)(5)
Circumference of circle = 31.4 square meter
The length of a rectangular lot is 6 feet less than 3 times its
width. Its area is 222 square feet.
Its width is
feet and its length is
feet.
Answer:
Length = 22.98 feet
Width = 9.66 feet
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Area of rectangle = 222 feet²
Translating the word problem into an algebraic expression, we have;
L = 3W - 6 ...... equation 1
We know that the area of a rectangle is given by the formula;
A = L * W
Substituting
222 = L * W ....equation 2
Substituting eqn 1 into eqn 2, we have;
222 = (3W - 6) * W
222 = 3W² - 6W
Rearranging the equation, we have;
3W² - 6W - 222 = 0
Next, we would use the quadratic formula to solve for the roots.
Note: the standard form of a quadratic equation is ax² + bx + c = 0
a = 3, b = -6 and c = -222
Solving the quadratic equation using the quadratic formula;
The quadratic equation formula is;
[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]
Substituting into the equation, we have;
[tex] x = \frac {-(-6) \; \pm \sqrt {6^{2} - 4*3*(-222)}}{2*3} [/tex]
[tex] x = \frac {6 \pm \sqrt {36 - (-2664)}}{6} [/tex]
[tex] x = \frac {6 \pm \sqrt {36 + 2664}}{6} [/tex]
[tex] x = \frac {6 \pm \sqrt {2700}}{6} [/tex]
[tex] x = \frac {6 \pm 51.96}{6} [/tex]
[tex] x_{1} = \frac {6 + 51.96}{6} [/tex]
[tex] x_{1} = \frac {57.96}{6} [/tex]
x1 = 9.66
We do not need the negative value of x, so we proceed.
Therefore, Width, W = x1 = 9.66 feet
For the length;
L = 3W - 6
L = 3(9.66) - 6
L = 28.98 - 6
L = 22.98 feet
In clinical trials of a newly developed cold medicine, it was found that 45 out of 200 individuals that took the new medicine (Group 1) experienced an upset stomach as a side effect and 33 out of 150 individuals that took a placebo (Group 2) experienced an upset stomach. Test to see if the new drug produced a significantly higher proportion of individuals experiencing upset stomach. Use a 0.01 level of significance. Select the correct alternative hypothesis and decision.
a. H: Pi≠P2; Do not reject the null hypothesis.
b. H1: p1>P2; Do not reject the null hypothesis.
c. H: Pi > p2; Reject the null hypothesis.
d. H1: p. e.) Hi: p1≠P2; Reject the null hypothesis.
f. H: P1
Answer:
Step-by-step explanation:
Group 1 Information:
sample size : n₁ = 200
individuals with stomach as a side effect x₁ = 45
p₁ = 45 / 200 p₁ = 0,225 then q₁ = 1 - p₁ q₁ = 0,775
Group 2 Information:
sample size : n₂ = 150
individuals with stomach as a side effect x₂ = 33
p₂ = 33/150 p₂ = 0,22 q₂ = 0,78
Hypothesis Test:
Null Hypothesis: H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ > p₂
The alternative hypothesis indicates that the test is a one-tail test to the right
Significance level is α = 0,01 ( confidence interval 99%)
From z-table we get z(c) for that α z(c) = 2,32
To calculate z(s)
z(s) = ( p₁ - p₂ ) / EED
EED = √ ( p₁*q₁)/n₁ + ( p₂*q₂)/n₂
EED = √ ( 0,225*0,775)/200 + (0,22*0,78)/150
EED = √ 0,0008718 + 0,001144
EED = 0,045
z(s) = ( 0,225 - 0,22 ) / 0,045
z(s) = 0,005 / 0,045
z(s) = 0,11
Comparing z(s) and z(c)
z(s) < z(c) 0.11 < 2.32
Then z(s) is in the acceptance region. We accept H₀ . We don´t have evidence to support differences between the two groups.
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of
7 1/2 inches.
WITHOUT CALCULATING, predict whicb frame has the SHORTER WIDTH. Explain you reasoning.
Pleaseee HELP!! Pls support your answer by reasoning
Question:
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.
Answer:
1. the longer frame (B) has the shorter width
2. the shorter width is 6 3/7 inches, area divided by length
Step-by-step explanation:
The relation between area, length, and width is ...
A = LW
Then the width is ...
W = A/L . . . . . inversely proportional to length
1. Since length and width are inversely proportional (when area is constant), the shorter width will be associated with the longer length. Frame B will have the shorter width.__
2. The width of frame B is ...
W = A/L = (45 in²)/(7 in) = 45/7 in = 6 3/7 in
-Alan Becker
Which of the following are binomials? Check all that apply.
A. x^3+ 8 + y
B. -x + 24
C. x^11
D. x + (3/x)
E. x^8
F. x + 3
Answer:
B D F are the binomials
Step-by-step explanation:
hope it helps
What percent of 965 is 193?
No links please
The percentage equivalent is 20.
Given,
Percentage .
Now,
Firstly calculate the fractional form,
193/965 = .2
Now to convert fraction into percentage , multiply by 100.
So,
0.2 * 100
= 20%
Thus 193 is 20% of 965 .
Know more about percentage,
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PLEASE HELP! WILL AWARD BRAINLIEST TO THE FIRST CORRECT ANSWER!
If a/b=6, b/x=36, and a=36, what is the value of 1/x?
A) 1/2
B) 2
C) 3/2
D) 4
E) 6
Answer:
E) 6
Step-by-step explanation:
a/b = 6
36/b = 6
6b = 36
b = 36/6 = 6
b/x = 36
6/x = 36
36x = 6
x = 6/36 = 1/6
hence 1/x = 6
Answer:
E) 6
Step-by-step explanation:
a/b=6, b/x=36, and a=36
=>a = 6b
36 = 6b => b =6
b/x = 36 => x = b/36 = 6/36
so, 1/x = 36/6 = 6
what is 6 divided by 10 to the second power
Answer:
j
Step-by-step explanation:
h
24 mi
32 mi
c
What is the length of the hypotenuse?
c =
miles
Answer:
40 mi
Step-by-step explanation:
a² + b² = c²
24² + 32² = c²
1600 = c²
√1600 = c
c = 40
The following data describes weekly gross revenue (), television advertising expenditures (), and newspaper advertising expenditures () for Showtime Movie Theaters.
Weekly Gross Revenue ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s)
98 5 1.5
90 2 2
95 4 1.5
92 2.5 2.5
95 3 3.3
94 3.5 2.3
94 2.5 4.2
94 3 2.5
Required:
Find an estimated regression equation relating weekdy gross revenue to television advertising expenditures and newspaper advertising expenditures (to 2 decimals).
Answer:
Hope this helps
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ
Simplify 10cm:2m
Ratio
Answer:
1cm:20cm
Step-by-step explanation:
10cm:2m
1m=100cm
10cm:200cm
÷10
1cm:20cm
help!! please answer this easy math <3 :)
Answer:
y = x - 10
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope = 1
b is the y intercept = -10
Therefor
y = x - 10
please help a brotha out and i'll give you brainliest
Answer:
First box: 15 * 10^10.
Second box: 300,000,000 meters per second.
Third box: 48 * 10^-13 meters.
Fourth box: 167 * 10^-29 meters.
Step-by-step explanation:
These should be correct! I put them in order from the top empty box to the bottom empty box!!!
Please mark brainliest if correct!!!
BEEN ASKING FOR AN HOUR PLEASE! a rectangle's area is 336 mm Its height is 16 mm. What is its bases?
Answer:
Base is 21
Step-by-step explanation:
I'm gonna be honest, just divide 336 by 16.
However just in case you meant volume instead of area because you said (bases), they would be 5 and 4.2
Ria works in a paint shop.
She needs to make 1500ml of purple paint.
Ria makes purple paint by mixing red paint and blue paint and white paint in the ratio 3 : 2 : 1
How much blue paint does Ria need to make 1500 ml of purple paint?
Answer:
the answer is 500ml
Step-by-step explanation:
1500/3=500
What is the y intercept calculator for 3y=2x +6
Answer:
The Y-axis intercept is 2
Step-by-step explanation:
Answer:
The y-intercept is 2
Step-by-step explanation:
Given: 3y=2x+6
Convert to y=mx+b form: y=2/3x+2
Therefore, the y-intercept is 2.
Use multiplication to create an equivalent fraction for 2/5
Answer:
4/10
Step-by-step explanation:
2/5 times 2/2
Make sure To multiply with the SAME denominators and numerators.
I hope this helps!!
Answer:
6/15
Step-by-step explanation:
2/ 5 x 3/3 = 6/15
Note that to find equalivalent fractions multiply “BOTH” the numerator and the denominator
I NEED HELP ASAP PLEASE HELP ME
Answer:
Can't help you on an ASIT
Step-by-step explanation: