Answer:
(a) [tex]Unit = \frac{1}{4}/8[/tex]
Step-by-step explanation:
Given
[tex]Time = \frac{1}{4}[/tex]
[tex]Lap = 8[/tex]
Required
Determine the time in each lap
The unit time in each lap is calculated by dividing the total time by the number of laps; i.e.;
[tex]Unit = \frac{Time}{Lap}[/tex]
Substitute values for Time and Lap
[tex]Unit = \frac{1}{4}/8[/tex]
1/2x -5-1/3y when x =48 and y=15
There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder.
Answer:
Interval ( 24 ; 40 ) has 136 participants
Interval ( 16 ; 40 ) has 163 participants
Step-by-step explanation:
Normal distribution.
As variance is 64 then standard deviation is σ = 8
And mean μ₀ = 32
We can see that μ₀ ± σ is 32 ± 8
The interval ( 32- 8 ; 32+8 ) is ( 24 ; 40 )
By empirical Rule we know that μ₀ ± σ contains 68% of the population then 200*0,68 = 136
The number of participants between 24 and 40 is 136
By symmetry of these 136 half of them are between 32 and 40 ( 136/2 = 68 ) ( between mean and 40 )
Now in the interval ( 16 ; 40 ) we note that 16 is 32 - 16 = 16 or μ₀ - 2σ
And again by empirical rule μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2 95 are between μ₀ - 2σ, therefore
95 people are between μ₀ - 2σ or between ( 16 ; 32 ) and between ( 32 ; 40 ) there are 68 people then
The interval ( 16 ; 40 ) has 95 + 68 = 163 participants
What is the solution to the system of equations below?
x = 5y - 2 AND 3x - 4y = 27 *
Answer:
x = 13, y = 3
Step-by-step explanation:
3(5y - 2) - 4y = 27
15y - 6 - 4y = 27
11y = 33
y = 3
x = 15 - 2
x = 13
Carol bought 8 mangoes for N160.00 and sold each one for N25.00.what was his percentage gain?
Answer:
20%
Step-by-step explanation:
8 × 25 = 200
200 × 20% = 160
there are 20 girls and 16 boys in a classroom. complete the table of ratios below.
Answer:
The ratio of boys to girls is [tex]\frac{16}{20}[/tex]
The simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]
So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]
The simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by:
[tex]\frac{a}{b}[/tex]
Boys to girls:
There are 16 boys and 20 girls.
So the ratio of boys to girls is [tex]\frac{16}{20}[/tex]
Both these numbers can be simplified by 4, 16/4 = 4, 20/4 = 5. So the simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]
Girls to total students
There are 20 girls and 20 + 16 = 36 total students.
So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]
Both these numbers can be simplified by 4, 20/4 = 5, 36/4 = 9. So the simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]
PLEASE ANSWER FAST I HAVE 10 MINUTES LEFT AND ILL GIVE BRAINLIEST IF CORRECT!
Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).
Answer:
It would be the first choice, A'B'C'D' with points (-4, 4); (12, 4); (12, -4); and (-4, -4)
Step-by-step explanation:
Each point on rectangle A'B'C'D are 4 times the original distance from the origin as the rectangle ABCD.
Answer:
Ummm the first choice?
Step-by-step explanation:
I guessing and not reading
help hlp hlp hlp pls pls pls pls
Answer:
10m
Step-by-step explanation:
Hope this helps! Please give me brainliest and tysm!
Answer:
10 m
Step-by-step explanation:
Area of the triangle
=40 m²
height (h) = 8 m
Base (b) = ?
We know
Area of triangle = 1/2 * b * h
40 = 1/2 * b * 8
40 = 4b
b = 10 m
Hope it will help :)
identify the function of the transformation
The function f is defined by the following rule.
Find f(x) for each x-value in the table.
Answer:
x y
-2 36
-1 6
0 1
1 1/6
2 1/36
Step-by-step explanation:
Given
[tex]f(x) = (\frac{1}{6})^x[/tex]
Required
Complete the table
When x = -2.
Substitute -2 for
[tex]f(-2) = (\frac{1}{6})^{-2[/tex]
[tex]f(-2) = 1/\frac{1}{36}[/tex]
[tex]f(-2) = 36[/tex]
When x = -1
[tex]f(-1) = (\frac{1}{6})^{-1[/tex]
[tex]f(-1) = 1/\frac{1}{6}[/tex]
[tex]f(-1) = 6[/tex]
When x = 0
[tex]f(0) = \frac{1}{6}^0[/tex]
[tex]f(0) = 1[/tex]
When x = 1
[tex]f(1) = \frac{1}{6}^1[/tex]
[tex]f(1) = \frac{1}{6}[/tex]
When x = 2
[tex]f(2) = \frac{1}{6}^2[/tex]
[tex]f(2) = \frac{1}{36}[/tex]
Purple paint is made by mixing red paint and blue paint in the ratio 5:2
Yan has 30 litres of red paint and 9 litres of blue paint.
What is the maximum amount of purple paint he can make?
What is the value of x in the equation 3×=1
Answer:
x=1/3
Step-by-step explanation:
-6x-(-8)=2
step by step
Equation/Question:
-6x-(-8)=2
Answer/Way I did it:
1. Remove parentheses.
-6x+8=2
2. Subtract 8 from both sides.
-6x=2-8
3. Simplify 2-8 to -6.
-6x=-6
4. Divide both sides by -6.
x=1
-------------
Checking:
Equation/Question:
−6x−(−8)=2
----------------------
1. Let x=1.
−6×1+8=2
2. Simplify -6×1 to −6.
-6+8=2
3. Simplify -6+8 to 2.
2=2
Done by NeighborhoodDealer
1 + 100000 + 100000 + 100000 =
what is B? b-1/4=3 1/2
Answer:
hello! :) have a good day!
Exact Form:
b =15/4
Decimal Form:
b =3.75
Mixed Number Form:
b =3 3/4
What’s the distance between -1/2 and 5/4 ?
Answer:
-1.75
Step-by-step explanation:
Answer:
7/4
Step-by-step explanation:
5/4-(-1/2)
5/4+1/2
5/4+2/4
7/4
The slope and y-intercept of the equation y – 5x = 7.
Graph points
Answer:
The slope is 5
the y-intercept is (0,7)
Step-by-step explanation:
How many terms are in the following expression:
2x3 + 3x2 + 2 - 1
A. 1
B. 4
C. 6
D. 11
Answer:4
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The numbers are the terms
6 numbers 6 terms
The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. The mean of the sample is 56.96. What should be done about the production line
Answer:
Stop the line of production since the sample mean (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]
Step-by-step explanation:
Given that;
95% confidence interval for these parts is 56.98 to 57.05
[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )
Sample mean = 56.96
We know that;
If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.
But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.
Now since our mean sample (56.96) does not lie between with the 95% confidence interval [tex]CI_{0.95}[/tex] = ( 56.98, 57.05 ).
Therefore, Stop the line of production since the sample mean (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]
What is 264*675+1239-56+887
Answer:
180270
Step-by-step explanation:
Do Pemdas to find order of operations:
(264*675)+ 1239-56+887
So it is:
(178200)+2070
This equals: 180,270
How many solutions does the equation 9 (x - 3) = 9x - 27 have?
Answer:
Infinity
Step-by-step explanation:
9x -27 = 9x -27
-9x . -9x
-27 = -27 = always true
who wants a slushie ?
Answer:
i want a slushie what's your favorite slushie flavor
Which represents the inverse of the function f(x) = 4x?
O h(x) = X + 4
• h(x) =X- 4
O h(x) = =x
O h(x) = ÷x
PLEASEE HELP
Answer:
f^(-1) = x/4
Step-by-step explanation:
1. Starting with f(x) = 4x, replace 'f(x)' with y: y = 4x
2. Interchange x and y: x = 4y
3. Solve for y: y = x/4
4. Replace this y with 'f^(-1) = ": f^(-1) = x/4
Cups are sold in packages of 8. Napkins are sold in packages of 6. If you want to purchase the fewest number of cups and the fewest number of napkins so there will be the same of each, how many packages of napkins will there be?
What is BD? BC=x DC=x+5
Answer:
BD is just equal to the sum of BC and CD.
So we have: BD = x + x + 5
Simplifying, we have BD = 2x+5
Let me know if this helps!
13.6z - 11 = -1.48.
can u please show the work for it
Step-by-step explanation:
13.6z - 11 = -1.48.
13.6z=-1.48+11
z=9.52/13.6=0.7
help me out
14 < n - 22
Answer:
14+22=36
36 is less than n
Step-by-step explanation:
7-1 Mathematical Literacy and Vocabulary Dilations
The column on the left shows the steps used to graph a dilation. Use the column on the left to answer each question in the column on the right.
Problem Graphing a Dilation.
What are the vertices of the image of ABC for a dilation centered at the origin with a scale factor of n = 2? Graph the image of ABC.
Read the problem. What do you need to find to solve the problem?
Answer: Coordinates of the vertices of the vertices of the given imagen.
Given the rectangle ABCD, find measure of angle EFH, measure of angle FEH. Also find, HI and GE.
HF= 36
measure of angle HFG = 30
pls help me pls help me pls help me
Step-by-step explanation:
area of triangle = 1/2 × base × height
= 1/2 × 6×4
= 12 cm²
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
thankyou.
I think it’s 12cm but I am not sure sorry dude
Maggie runs 1/4 of a mile in 1.3 minutes. Olivia runs 2/3 of a mile in 2.9 minutes. Who runs faster?
Answer:
Olivia-2.25
Hope I helped
