Answer:
Onyango is 48, his daughter is 16 and his son is 12
Step-by-step explanation:
Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:
x + 8 = 12 + (1/3x + 8 + 1/4x + 8)
x + 8 = 7/12x + 28
5/12x = 20
x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12
PLS HELP ASAP Event A and event B are independent events. Given that P(B)=13 and P(A∩B)=16, what is P(A)?
Answer:
The probability of event A happening which is P(A) = 1/2
Step-by-step explanation:
To answer this question, we will have to make use of the mathematical formula for independent events.
Firstly, what do we mean by independent events?
Independent events are events that occur freely of each other. What this means is that the occurrence or non-occurrence of one of the events does not disturb the occurrence or non-occurrence of the other event.
Given that A and B are independent events, then mathematically;
P(A ∩ B) = P(A) P(B)
Now from the question, we know that We are to find P(A), inputing the values we have;
1/6 = P(A) * 1/3
P(A) = 1/6/1/3
P(A) = 1/2
Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56 miles per hour. Half an hour later, Tina left Riverside in her car on the same route as Stephanie, driving 70 miles per hour. Solve the system {56s=70ts=t+12 for t to find the value of s, the number of hours Stephanie will have driven before Tina catches up to her.
Answer:
The number of hours Stephanie will have driven before Tina catches up to her is 2.5 hours
Step-by-step explanation:
Given:
56s=70t
s=t+1/2
Solution
56s=70t
s=t+1/2
Substitute s=t+1/2 into 56s=70t
56s=70t
56(t+1/2)=70t
56t+28=70t
28=70t - 56t
28=14t
Divide both sides by 14
28/14=14t/14
2=t
t=2
Recall,
s=t+1/2
s=2+1/2
=4+1/2
s=5/2
Or
s=2.5 hours
rectangleabcd is graphed in the coordinate plane. the following are the vertices of the rectangle:a(2,−6),b(5,−6),c(5,−2) andd(2,−2) What is the perimeter of rectangle
ABCd?
Answer:
14
Step-by-step explanation:
The rectangle has side lengths of 3 and 4. There are two of each length, so the total length of all the sides is ...
P = 2(l +w) = 2(4 +3) = 2(7)
P = 14 . . . . units
Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)
In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.
How many times larger is 5 × 106 than 5 × 102?
PLEASE HELP !
Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.
Indeed, If you multiply 2 by 42 you'll get 4.
Of course, if a number is n× larger than another, then this other is n× smaller than the first one.
It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.
plz mark me as the Brainleist plz
In △ABC, m∠A=27°, c=14, and m∠B=25°. Find a to the nearest tenth.
Answer:
8.1
Step-by-step explanation:
A personnel manager is concerned about absenteeism. she decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. the null hypothesis is: absenteeism is distributed evenly throughout the week. the 0.01 level is to be used. the sample results are: day of the week number of employees absent monday 12 tuesday 9 wednesday 11 thursday 10 friday 9 saturday 9 what is the calculated value of chi-square?
Answer:
Hello your question lacks the required options
A.)11.070 B.)2.592
C.)13.388 D.)15.033
answer : 15.033 (D)
Step-by-step explanation:
The given Data
Day of The Week number of Absentees
Monday 12
Tuesday 9
Wednesday 11
Thursday 10
Friday 9
Saturday 9
The critical value of chi-square = 15.09 and this obtained by entering the degrees of freedom and level of significance into minitab. attached below is the plot
hence for the given options the critical value of chi-square is ≈ 15.03
A cylindrical container has a radius of 0.3 meter and a height of 0.75 meter. The container is filled with kerosene. The density of kerosene is 815 kg/m³. What is the mass of the kerosene in the container? Enter your answer in the box. Use 3.14 for π. Round your final answer to the nearest whole number.
Answer:
172.83 kg
Step-by-step explanation:
A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.
The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:
Density = Mass / volume
The volume of a cylinder is given as:
V = πr²h
V = π × (0.3)² × 0.75 = 0.212 m³
Density = Mass/ volume
Mass = Density × Volume
Mass = 815 kg/m³ × 0.212 m³
Mass = 172.83 kg
Answer:
The answer is 173
Step-by-step explanation:
The other guy's answer was correct, but he forgot to round up to the nearest whole number so just in case you didn't notice the question saying that!
The length and width of a rectangular yard are 11 meters and 5 meters respectively. If each dimension were reduced by x meters to make the ratio of length to width 8 to 3, what would be the value of x
Answer:
x=7/5
Step-by-step explanation:
Original dimensions
Length=11 meters
Width=5 meters
Each dimension reduced by x meters
L=11-x
W=5-x
Length/width=ratio of length/ratio of width
11-x/5-x = 8/3
Cross product
(11-x)3 =( 5-x)8
33-3x=40-8x
-3x+8x=40-33
5x=7
x=7/5
Check:
11-7/5=55-7/5
=48/5
5-7/5=25-7/5
=18/5
48/5÷18/5
=48/5*5/18
=240/90
=24/9
=8/3
Length: width=8:3
a rectangles width is 6 feet less than its length. if the area of the rectangle is 247 square feet what is its length in feet
Answer:
The answer is
19 feetStep-by-step explanation:
Area of a rectangle = length × width
let w be the width and l be the length
Area of rectangle = 247 ft²
width is 6 feet less than its length is
w = l - 6
247 = l( 1 - 6)
l² - 6l - 247 = 0
(l + 13) (l - 19) = 0
l + 13 = 0 l - 19 = 0
l = - 13 l = 19
Since the length should be positive
The length of the rectangle is
19 feetHope this helps you
Answer:
Length of the rectangle, L = 19 ft
Step-by-step explanation:
Area of a rectangle = Length * Width
Area of the rectangle, A = 247 ft²
Let the length of the rectangle be L
The width of the rectangle = W
Since the width of the rectangle is 6 ft less that the length;
W = L - 6
A = L * W
247 = L * (L - 6)
247 = L² - 6L
L² - 6L - 247 = 0
By solving the quadratic equation above:
(L - 19)(L + 13) = 0
L - 19 = 0, L = 19
L + 13 = 0; L = -13
Since the length of a rectangle cannot be negative, L = 19 ft
Use the cubic model y = 10x3 − 12x to find the value of y when x = 9.
Answer:
7182
Step-by-step explanation:
All you shoud do is to replace x by 9
● y = 10 * 9^3 -12*9
● y = 7182
A group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8 What was the change in feet of the groups elevation
Answer:
13 feetStep-by-step explanation:
If a group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8, their initial feet will be -5 and their final feet will be 8.
Change in feet of the groups elevation = final feel - initial feet
Given initial feet = -5 feetFinal feet = 8 feet
Change in feet of the groups elevation = 8 -(-5)
Change in feet of the groups elevation = 8+5
Change in feet of the groups elevation = 13
Please answer this question now
Answer: S = 8.9 or just 9
Step-by-step explanation:
A circle has a radius of sqrt 45 units and is centered at (-2.4, -4.8) Write the equation of the circle
Answer:
( x+ 2.4) ^2 + ( y+4.8) ^2 = 45
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + ( y-k) ^2 = r^2
Where ( h,k) is the center and r is the radius
( x-- 2.4) ^2 + ( y--4.8) ^2 = (sqrt45)^2
( x+ 2.4) ^2 + ( y+4.8) ^2 = 45
Find the indicated area under the curve of the standard normalâ distribution; then convert it to a percentage and fill in the blank. Aboutâ ______% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean). About nothingâ% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean).
Answer:
68.26%
Step-by-step explanation:
The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:
[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]
From the normal distribution table, Area between z equal -1 and z equal 1 = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%
About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
A researcher wants to obtain a sample of 30 preschool children consisting of 10 two-year-old children, 10 three-year-old, and 10 four-year-old children. Assuming that the children are obtained only from local daycare centers, this researcher should use ____ sampling.` Cluster probability quota simple random stratified random
Answer:
Quota Sampling
Step-by-step explanation:
Quota Sampling is a non-probability sampling method in research, where the researcher forms subgroups of individuals who are representative of the entire population through random selection. Quota sampling is often used by researchers who want to get an accurate representation of the entire population. It saves time and money especially if accurate samples are used.
In the example given above, where the research creates subgroups of 30 pre-school children by dividing them into 10 two-year-old children, 10 three-year-old, and 10 four-year-old children, he has applied the quota sampling. These subgroups would give a proper representation of the preschool children in local daycare centers.
Solve for x: |x| − 8 = −5 (2 points) A. x = −13 and x = −3 B. x = 3 and x = −3 C. x = 3 and x = 13 D. No solution
Answer:
x = 3 and x = -3
Step-by-step explanation:
/x/ - 8 = -5
Add 8 to both sides
/x/ -8 + 8 = -5 +8
/x/ = 3
/ x / will be always positive as it is absolute value of x. So, x = 3 & x= -3
How to do this question plz
Answer:
X=10
Step-by-step explanation:
the triangle is a right angled triangle so use pythagoras theorem a^2+b^2=c^2
x^2+(√200)^2=(√300)^2
x^2+200=300
x^2=300-200
x^2=100
x=√100=10
X=10
Una máquina llena 4 baldes de helado en 30 minutos, funcionando siempre a la misma velocidad Si ante un corte de luz, solo funcionó durante 45 minutos, ¿cuántos baldes habrá llenado?
Answer:
La máquina llenó:
6 baldes
Step-by-step explanation:
Por regla de tres:
4 baldes son a 30 minutos
M baldes son a 45 minutos
M = 45*4/30
M = 180/30
M = 6
if four boys spent 2.5 hrs to do a job, how many hrs will 5 boys spend
Answer:
2
Step-by-step explanation:
2.5/5
Answer:
2.5 hours
Step-by-step explanation:
2.5 hours = work time
4boys+5boys working together same job.
Ans: 2.5 hours.
If Line LK = 16, find the length of Line JK.
Answer:
JK = 16√2
Step-by-step explanation:
This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.
Since this has a side of 16, the hypotenuse will be 16√2.
Cheers.
Complete the table for the given rule. hi guys this is question is Rule: y is 1/3 times as large as x x y 0 6 12 y need to know y by the rule i need this quilky plz
Answer:
The completed table is
x | 0 | 6 | 12
y | 0 | 2 | 4
Step-by-step explanation:
It is given that y is (1/3) as large as x. That is,
y = (x/3)
x | 0 | 6 | 12
y | ? | ? | ?
y = (x/3)
When x = 0,
y = (0/3) = 0
when x = 6,
y = (6/3) = 2
when x = 12,
y = (12/3) = 4
The completed table is thus
x | 0 | 6 | 12
y | 0 | 2 | 4
Hope this Helps!!!
The values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.
Given,
y is 1/3 times as large as x.
So, [tex]x=3y[/tex].
We have to calculate the value of x when y is given .
1. when [tex]y=0[/tex]
Then, [tex]x=0[/tex]
2.when, [tex]y=6[/tex]
Then, [tex]x=18\\[/tex]
3. When [tex]y=12[/tex]
[tex]x=3\times 12\\x=36[/tex]
Hence, the values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.
For more details follow the link:
https://brainly.com/question/11897796
express 1023.4567 correct to 3 significant figures
Answer:
1020
Step-by-step explanation:
well, the first three significant figures stops at the 102, so round the 1023.4567 to a whole number which just becomes 1023
then, round the answer so you only have the 102, so you would round down since 4 or less, which 3 is less than 4, you round down, and you would get 1020
that last 0 is not a significant figure because it does not have a decimal point or any other number following after it--any 0s at the end of a number are not significant if there is no decimal point or other number after them.
please help me with this
Answer:
see explanation
Step-by-step explanation:
2πr (230/360) = 2(3.142)(40) = 160.59 cm = circumference
160.59 = 2πr
base radius = 25.56 cm
Use pythagorean formula for semi-vertical height
40² = h² + 25.56²
h = 30.77 cm
volume = 1/3πr²h
V = 1/3(3.142)(25.56)²(30.77) = 21,053.98 cm³
A town currently has a population of 1,000,000, and the population is increasing 6 percent every year
a) using standard function notation , next = nowx1.06, starting at 1,000,000 use p to denote current population, r for the rate of population growth, and t for the number of years explain answer
b)is the function you wrote in the previous task recursive or non recursive?
c)compare the benefits of representing a situation using a recursive function versus using a regular function
Answer:
a) [tex]1,000,000 \times (1.06)^{t}[/tex]
b) The function is recursive
c) The benefits includes;
1) Simplification of information
2) Faster data access
3) Lesser storage requirement
4) Good for forecasting
5) Simplifies information analysis.
Step-by-step explanation:
The given information are;
The current population = 1,000,000
The rate of increase of the population = 6%
a) With the standard function notation is [tex]P_f[/tex] = [tex]P_p[/tex] × [tex](1 + r)^{t}[/tex]
Where;
[tex]P_f[/tex] = Future population
[tex]P_p[/tex] = Present population
r = Rate of population increase
t = The number of years
Therefore, we have;
[tex]P_f[/tex] = 1,000,000 × [tex](1 + 0.06)^{t}[/tex] = 1,000,000 × [tex](1.06)^{t}[/tex]
The population increases by a factor of [tex](1.06)^{t}[/tex] given the number of years, t
b) The function is recursive as it takes account of the number of years and the previous population to calculate the future population
c) The benefits includes;
1) Simplification of the relationship of a given data with time
2) Provides a more faster way to access data that is recursive than using complex regular function with more variables
3) Reduces data storage space for statistical calculations as several particular data can be accessed using one function
4) Provides improved forecasting
5) Enables detailed information analysis.
a car was bought for 5500 and sold at 6500 find the percentage
Answer:
18.18%
Step-by-step explanation:
Percent change formula:
(new amount - old amount)/(old amount) * 100%
new amount: 6500
old amount: 5500
percent change:
(6500 - 5500)/5500 * 100% = 18.18%
Answer:
18.18%
Step-by-step explanation:
1000/5500 x (100) =(1000/5500)(100/1) =(2/11)(100/1)=(2)(100) (11)(1)= 200/11
=18.18%
If angles θ and α are complementary and sin θ = 3/4, what is cos α?
Answer:
3/4
Step-by-step explanation:
Since, angles θ and α are complementary.
Therefore,
θ + α = 90°
θ = 90° - α
Taking sin both sides.
sin θ = sin (90° - α)
sin θ = cos α (sin (90° - θ) = cos θ)
Since, sin θ = 3/4.....(given)
Hence, cos α = 3/4
Write the equations after translating the graph of y=|1/2x-2|+3. One unit to the left
Answer:
[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]
Step-by-step explanation:
Given
[tex]y = |\frac{1}{2}x - 2| + 3[/tex]
Required
Translate the above one unit to the left
Replace y with f(x)
[tex]y = |\frac{1}{2}x - 2| + 3[/tex]
[tex]f(x) = |\frac{1}{2}x - 2| + 3[/tex]
When an absolute function is translated to the left, the resulting function is
[tex]g(x) = f(x - h)[/tex]
Because it is been translated 1 unit to the left, h = -1
[tex]g(x) = f(x - (-1))[/tex]
[tex]g(x) = f(x + 1)[/tex]
Calculating [tex]f(x+1)[/tex]
[tex]f(x+1) = |\frac{1}{2}(x+1) - 2| + 3[/tex]
Open bracket
[tex]f(x+1) = |\frac{1}{2}x + \frac{1}{2} - 2| + 3[/tex]
[tex]f(x+1) = |\frac{1}{2}x + \frac{1-4}{2} | + 3[/tex]
[tex]f(x+1) = |\frac{1}{2}x + \frac{-3}{2} | + 3[/tex]
[tex]f(x+1) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]
Recall that
[tex]g(x) = f(x + 1)[/tex]
Hence;
[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]
Answer:
y=l1/2x-3/2l+3
Step-by-step explanation:
cause im him
please help me with this math question
Answer:
5.50 years
Step-by-step explanation:
A = P[tex](1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
3178 = 2000(1+.086/2)^2t
t = 5.499904413
m
A. not enough information
B. 70
C. 42
D. 38.5
Answer:
C
Step-by-step explanation:
Using Parts Whole Postulate we can write:
∠LQP = ∠LQR + ∠PQR
We know that ∠LQP = 77° and ∠LQR = 35° so we can write:
77° = 35° + ∠PQR
Therefore the answer is 77 - 35 = 42°.