⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.
Y
¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden
para expresar el peso de cada uno de ellos, tenemos
la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:
8 kg/4 s
2 kg por encomiendaOfertamos la fracción que representa cada una en el total:
kg por encomienda/total de kg
2/8 x 1/4
Find the value of x. Round the length to the nearest tenth.
Answer:
[tex] x = 5.1 yd [/tex]
Step-by-step Explanation:
Angle of depression is congruent to angle of elevation.
Therefore, angle of elevation of the given figure, which is opposite to x is 25°.
Adjacent length = 11 yd
Opposite length = x
Trigonometric ratio formula for finding x is shown below:
[tex] tan(25) = \frac{opposite}{adjacent} [/tex]
[tex] tan(25) = \frac{x}{11} [/tex]
Multiply both sides by 11 to solve for x
[tex] 11*tan(25) = x [/tex]
[tex] 5.129 = x [/tex]
[tex] x = 5.1 yd [/tex] (to the nearest tenth)
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 247 days and standard deviation sigma equals 16 days. Complete parts (a) through (f) below.
Answer:
The answer is given below
Step-by-step explanation:
a) What is the probability that a randomly selected pregnancy lasts less than 242 days
First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,
[tex]z=\frac{x-\mu}{\sigma}=\frac{242-247}{16}=-0.31[/tex]
From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783
(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
If a sample of 17 pregnancies is obtained, the new mean [tex]\mu_x=\mu=247,[/tex] the new standard deviation: [tex]\sigma_x=\sigma/\sqrt{n} =16/\sqrt{17} =3.88[/tex]
c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{17} }=-1.29[/tex]
From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985
d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{49} }=-2.19[/tex]
From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143
(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?
It would be unusual if it came from mean of 247 days
f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean
For x = 236 days
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{236-247}{16/\sqrt{20} }=-3.07[/tex]
For x = 258 days
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{258-247}{16/\sqrt{20} }=3.07[/tex]
From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939
Given that 8 <y< 12 and 1<x< 6, find the maximum possible value of
x+y/y-x
Answer:
Step-by-step explanation:
y = {9, 10, 11}
x = {2, 3, 4 , 5}
Maximum value of x + y = 11 + 5 = 16
Minimum value of y -x = 9 - 2 = 7
[tex]\frac{x+y}{y-x}=\frac{16}{7}[/tex]
If you are given the graph of h(x) = log6x, how could you graph M(x) = log6(x+3)?
Answer:
Translate 3 units to the left
Step-by-step explanation:
SWAN85 help me baby please help me BABY!!!!!!!
Answer:
y=2
second page it is A
Step-by-step explanation:
y=2
second page it is A
Answer:
y=2
the first line
Step-by-step explanation:
Horizontal line when value of y is constant:
y=2 is required optionPoints
A (-5, -1), B(-2, 3), C(0, -1), D(4, -2), E(5, 1)
It matches the first lineSOMEONE HELP PLEASE!! Will make as brainleist!??
Answer:
This is a geometric sequence and the common ratio is equal to ½.
Step-by-step explanation:
For a sequence to be termed to be in arithmetic progression, the difference between consecutive terms are the same and constant.
On the other hand, a sequence is termed to be in geometric progression if the ratio of a term to the term before it is the same as the ratio between the next term to it.
Let's consider the sequence given: 12, 6, 3 . . .
=>Let's try to find the common difference if it would be constant: 6-12 (-6) ≠ 3-6 (-3)
The sequence is not arithmetic.
=>Let's also try to find the ratio of the sequence to see if it is constant:
6/12 (½) = 3/6 (½)
Therefore we can conclude the sequence is geometric because the common ratio (½) is constant.
This is a geometric sequence and the common ratio is equal to ½.
A small community organization consists of 20 families, of which 4 have one child,8 have two children, 5 have three children, 2 have four children, and 1 has fivechildren. If one of these families is chosen at random, what is the probability it has`children,`= 1,2,3,4,5?
Answer and Step-by-step explanation:
According to the situation, The probabilities for each one is given below:
As there are 20 families
So the probabilities for each one is
For four families have one child is
[tex]= \frac{4}{20}\\\\ = \frac{1}{5}[/tex]
For eight families have two children is
[tex]= \frac{8}{20}\\\\ = \frac{2}{5}[/tex]
For five families have three children is
[tex]= \frac{5}{20}\\\\ = \frac{1}{4}[/tex]
For two families have four children is
[tex]= \frac{2}{20}\\\\ = \frac{1}{10}[/tex]
For one family have five children is
[tex]= \frac{1}{20}[/tex]
there were 7 little cherries for every 2 big cherries. if there were 630 cherries in the box, how many little cherries were there? (please also answer the question in the picture)
Answer:
1)2205little cherries
2)0.5.
Step-by-step explanation:
1)7little=2big
?=630big
7×630=2205little cherries
2
2)²/5x=¹/10what is the value of 10x-2
first find the value of x that is ¹/10÷²/5=¼
so x is ¼
insert the value ie 10×¼-2
=2.5-2
=0.5
how do i find the value of x?
Answer:
the alphabet.
Step-by-step explanation:
WILL GIVE BRAINLEIST!!!
Answer:
40
Step-by-step explanation:
Once you plot the data, the middle values will be 39 and 41. To calculate the median, you add them up and divide by two, which will result in 40!
Median is the middle value.
Write the numbers out from smallest to largest:
35, 38, 38, 39, 39, 41, 42, 43, 43, 44
There are 10 total numbers, find the middle two:
39 and 41
Add them Together and divide by 2:
39 + 41 = 80
80/2 = 40
Median = 40
CD=17 AM=5 CD=? I've tried everything but I can't figure it out.
Answer:
We can prove that ΔTMB ≅ ΔTMD and ΔTMA ≅ ΔTMC by ASA. This means that BM = MD = BD / 2 = 8.5 and that AM = CM = 5 which means that CD = MD - CM = 8.5 - 5 = 3.5.
Solve I=PRT for P if I=312.50, r=25%, and T=0.25
Answer: I = $ 19.53
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 25%/100 = 0.25 per year,
then, solving our equation
I = 312.5 × 0.25 × 0.25 = 19.53125
I = $ 19.53
The simple interest accumulated
on a principal of $ 312.50
at a rate of 25% per year
for 0.25 years is $ 19.53.
Answer:
P = 5000
You need to multiply r and T together, then divide 312.50 by that.
mr rai bys a radio for rs 1880ans sell it to mr Sherpa at 20 percent .how much money does he pay for it
Answer:
Rs 1504
Step-by-step explanation:
Mr. Rai buys for Rs 1880.
He sells it to Mr. Sherpa at 20% discount.
1880 × 20%
= 376
1880 - 376
= 1504
Mr. Sherpa buys it for Rs 1504.
Answer:
Mr. Rai will be receiving $1504 if he sells the radio for 20%.
Step-by-step explanation:
To find a discount, move the decimal over twice on the percentage. After doing this, multiply that number by the original number. You will get a new number. Subtract the price by the new number and there is your answer.
For Example:
20% = .20
1880*.20= 376
1880-376= 1504
There is a simpler way of doing this as well. Multiplying by .8 (which is the remainder of 100% after taking away 20% if this makes sense) will give you the answer immediately. Hopefully this helps.
Good luck!
How is it that it is (-11/4,-1/2) ?
Answer:
Choice 3
Step-by-step explanation:
A(-5,-1) and B(4, 1)
Distance AB is calculated as x²+y², where x= 4-(-5)=9 and y= 1-(-1)=2
Point P is at 1/4 of distance from point A, so its coordinates will be at 1/4 of full distance from A to B in term of both coordinates:
-5 + 9/4= (-20+9)/4= -11/4-1 +2/4= (-4+2)/4= -2/4= -1/2So P= (-11/4, -1/2) and choice 3
What is cos 45º?
See picture for more details
Answer:
C. 1/√2
Step-by-step explanation:
cos∅ is adjacent over hypotenuse:
cos45° = 1/√2
cos45° = √2/2
Alternatively, if you learned and memorized your unit circle, cos(π/2) = √2/2
Answer:
C.
Step-by-step explanation:
use calculator to work out: (1dp) 28/2.8
Answer:
10
Step-by-step explanation:
28/2.8
280/28
= 10
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\textbf{The best thing to understand how to get the answer to this}\\\large\textbf{fraction or equation (whatever you would like to call it),}\\\large\textbf{you have to either to DIVIDE the numerator from the}\\\large\textbf{denominator or even convert the fraction to a division}\\\large\textbf{problem. I will show you what I meant, when we solve for}\\\large\textbf{the answer.}\\\\\\\large\textbf{We make your equation into a division problem since it is}\\\large\textbf{easier to solve now.}[/tex]
[tex]\\\\\\\large\textbf{Now, let's solve for the answer. }[/tex]
[tex]\large\textbf{Your equation: }\rm{\bf \dfrac{28}{2.8}}\\\\\large\textbf{Conversion of your equation: }\rm{\bf 28\div 2.8}\\\\\large\textbf{Simplify the conversion problem above}\\\\\large\textbf{You should have gotten the result: \boxed{\rm{\bf 10}}}[/tex]
[tex]\large\textbf{Now, let's see if the result if true by doing the OPPOSITE}\\\large\textbf{of division... which is multiplication. So we will take the}\\\large\textbf{denominator (the bottom number) which is, 2.8 and}\\\large\textbf{multiply it by the result you got from the division}\\\large\textbf{problem, which is 10.}[/tex]
[tex]\rm{\bf 2.8 \times \boxed{\bf 10}}\\\\\large\textbf{Work it out if you remembered the steps of multiplication.}\\\\\large\textbf{You should've gotten \boxed{\textsf{28}}}\\\\\large\textbf{So, yes \boxed{\textsf{10}} is your result to this equation,}[/tex]
[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\mathsf{10}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& }\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The radius of a circle is 2 feet. What is the area of a sector bounded by a 180° arc?
Answer:
[tex]\boxed{Area = 3.14 ft^2}[/tex]
Step-by-step explanation:
Radius = r = 2 feet
Angle = θ = π/2 (In radians) = 1.57 radians
Area of Sector = [tex]\frac{1}{2} r^2 \theta[/tex]
Area = [tex]\frac{1}{2} (4)(1.57)[/tex]
Area = 2 * 1.57
Area = 3.14 ft²
Answer:
[tex]\bold{2\pi\ ft^2\approx6,28\ ft^2}[/tex]
Step-by-step explanation:
360°:2 = 180° so the area of a sector bounded by a 180° arc is a half of area of a circle of the same radius.
[tex]A=\frac12\pi R^2=\frac12\pi\cdot2^2=\frac12\pi\cdot4=2\pi\ ft^2\approx2\cdot3,14=6,28\ ft^2[/tex]
Find the values of the variables and the measures of the angles
Answer:
Add each given variable
(6x + 10) + (x + 2) + x = 8x + 12
The sum of all the angles equals 180ᴼ
8x + 12 = 180
Subtract 12 from both sides
8x = 168
Divide by 8 on both sides
x = 21
Now plug in 21 for each x to find the measure of each angle.
(6[21] + 10) = 126 + 10 = 136ᴼ
(21 + 2) = 23ᴼ
x = 21ᴼ
Mr. Ferrier invested $26,000. Some was invested in bonds that made a 5% profit, and the rest was put in stocks that made an 8% profit. How much did mr. Ferrier invest in bonds if his total profit on both types of investments was $1,420
Answer:
bonds=22000
stock=4000
Step-by-step explanation:
let b for bonds , and s for stock
b+s=26000
0.05 b +0.08 s=1420
to solve (by elimination)
1- multiply first equation with 0.05 to eliminate b
0.05 b+0.05 s=1300
0.05b+0.08s=1420
subtract two equations:
0.05b+0.05s-0.05b-0.08s=1300-1420
-0.03s=-120
s=120/0.03=4000
b+s=26000
b=26000-4000=22000
check:0.05(22000)+0.08(4000)=1420
Answer:
$22000
Step-by-step explanation:
x*0.05+(26000-x)*0.08= 1420
0.05x - 0.08x + 2080= 1420
0.03x=2080 -1420
0.03x= 660
x= 660/0.03
x= 22000
$22000 = 5% bonds
$4000 = 8% stocks
Which one of the following numbers is divisible by 11?
A. 924711
B. 527620
C. 320793.
D. 435854
Answer:
320793
Step-by-step explanation:
320793 / 11 = 29163
A soccer team scores 12 points in 5 matches. They scored the same number of points in each of their first 3 matches and one more point in each of their last 2. How many points did they score in each match?
Answer:
2 points the first 3 matches then 3 points the last 2 matches
Step-by-step explanation:
12 points in 5 matches and the first 3 are all the same then the other 2 increased by 1 point
They got 2 points the first 3 matches then 3 points the last 2 matches
2 + 2 + 2 (first 3 matches) = 6
3 + 3 (last 2 matches) = 6
6 + 6 = 12
i need help with this ASAP
Answer:
a) 2.5x + 5 b) $5
Step-by-step explanation:
We know that the rate is 2.50 an hour, and she parked for 4 hours. Multiply 2.5 by 4 to get 10. This means that she spent 10 out of 15 of her dollars on the rate, meaning the initial fee was 5 dollars.
Answer:
a. y = 2.5x + 5
b. $5
Step-by-step explanation:
y = mx + b
m = slope is the fee per hour
b = y-intercept is the fixed fee
y = 2.5x + b
We know that she paid $15 for 4 hours, so we have point (4, 15). We now replace x and y in the equation with 4 and 15, respectively, and solve for b.
15 = 2.5(4) + b
15 = 10 + b
b = 5
a. The equation is:
y = 2.5x + 5
b. The initial fee is $5
ASAP! A boat travelling at top speed upstream moves at 15km/hr. When it travels downstream, again at top speed< it moves at 25km/hr. What is the boat's top speed in still water?
Answer: 20km/h
Step-by-step explanation:
20km/h. Simply average 15 and 25 by doing (15+25)/2
Hope it helps <3
A machine in a shoe factory produces shoelaces. The number of shoelaces it produces is proportional to the time. It car
produce twelve shoelaces in three minutes. Write an equation to represent this proportional relationship. In your
answer, make sure to define the variables you used.
Answer:
s = 4t
Step-by-step explanation:
Let number of shoelace produced be S and time taken to produce then be T
If the number of shoelaces it produces is proportional to the time, this can be expressed using a direct relationship as:
S∝T
S = kT where
k is the proportionality constant
If 12 laces of shoes can be produced in 3 minutes, then S = 12 and T = 3
The relationship above on substitution becomes
12 = 3k
k = 12/3
k = 4
If the proportionality constant is 4, then the equation representing the relationship will be:
s = 4t
please mark me brainliest!
Answer: y = 4x (y = shoelaces & x = minutes)
Step-by-step explanation: We know that 12 shoelaces are produced in 3 minutes and that the ratio of shoelaces produced to minutes spent is proportional. We can figure out, therefore, that if you multiply the number of minutes by 4, you will get the number of shoelaces. As an equation, this would be y = 4x (y = shoelaces & x = minutes).
Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8 PLZ HELP
Answer:
Answer:
3x + 3y = 0
7x - y = 8
Step-by-step explanation:
An equilateral triangle has sides 8 units long. An equilateral triangle with sides 4 units long is cut off at the top, leaving an isosceles trapezoid. What is the ratio of the area of the smaller triangle to the area of the trapezoid? Express your answer as a common fraction.
Answer:
1:3
Step-by-step explanation:
Please study the diagram briefly to understand the concept.
First, we determine the height of the isosceles trapezoid using Pythagoras theorem.
[tex]4^2=2^2+h^2\\h^2=16-4\\h^2=12\\h=\sqrt{12}\\ h=2\sqrt{3}$ units[/tex]
The two parallel sides of the trapezoid are 8 Inits and 4 units respectively.
Area of a trapezoid [tex]=\dfrac12 (a+b)h[/tex]
Area of the trapezoid
[tex]=\dfrac12 (8+4)*2\sqrt{3}\\=12\sqrt{3}$ Square Units[/tex]
For an equilateral triangle of side length s.
Area [tex]=\dfrac{\sqrt{3}}{4}s^2[/tex]
Side Length of the smaller triangle, s= 4 Units
Therefore:
Area of the smaller triangle
[tex]=\dfrac{\sqrt{3}}{4}*4^2\\=4\sqrt{3}$ Square units[/tex]
Therefore, the ratio of the area of the smaller triangle to the area of the trapezoid
[tex]=4\sqrt{3}:12\sqrt{3}\\$Divide both sides by 4\sqrt{3}\\=1:3[/tex]
factorise this expression as fully as possible 2x^2+6x
Answer:
(Factor out 2x from the expression)
2x (x +3)
Anyone know please help!!
Answer:
only the inverse is a function
Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below: Which expression should follow the subtraction in Hallie’s equation?
1(l + w)
2(l – w)
3(l+w/4)
4(l-w/2)
Answer:
1.( l+w)
Step-by-step explanation:
The complete question is given below
Her partial work is shown below: p = 4l + 4w + 4h
= l + w + h
h =
Which expression should follow the subtraction in Hallie’s equation?
h=l+w
Answer is 1. (l +w)
Please answer this question fast in two minutes
Answer:
132 degree
Step-by-step explanation: angle kjh is 132 degree and since lk is a straight line it is 180 degree. angle kjh is 132 degree so, angle LJM is 132 degree. This is because adjacent angles are equal as you can see, Angle LJM is adjacent to Angle KJH.