Se necesitan 10 micros si queremos que cada 3 micros transporten 90 pasajeros.
En principio, sabemos que 300 pasajeros pueden transportarse en 4 microbuses.
Entonces, el numero de pasajeros que va por cada micro será el cociente entre el numero de pasajeros y el numero de micros:
N = 300/4 = 75
Queremos responder:
¿Cuántos micros se deben aumentar para que por cada 3 micros se transporten 90 pasajeros?
Definamos X como el numero de grupos de 3 micros que tendriamos en esta situación.
Entonces 300 sobre X, debe ser igual a 90 (el numero de pasajeros que va en cada grupo de 3 micros)
300/X = 90
300 = 90*X
300/90 = X = 3.33...
Notar que el número total de micros sera 3 veces X:
3*X = 3*3.33.... = 10
Se necesitan 10 micros.
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2/8
QUESTION 8.1 POINT
If $20,000 is invested at 8.3% compounded continuously, how long, to the nearest tenth of a year will it take before the
investment doubles?
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Answer:
8.4 years
Step-by-step explanation:
The value of P compounded continuously at rate r for t years is ...
A = Pe^(rt)
Solving for t, we find ...
t = ln(A/P)/r = ln(2)/0.083 ≈ 8.35117
It will take about 8.4 years for the investment to double.
what is the scientific notation for 2/10
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Answer:
2×10⁻¹
Step-by-step explanation:
The place values in our decimal number system can be thought of as powers of 10 that increase from 0 going left from the ones place. The sequence of powers of ten continues to decrease to the right of the decimal point. The first place right of the decimal point has a place value of 1/10, or 10^-1. The next place to its right has a place value of 1/100, or 10^-2.
So, the decimal number 2/10 = 0.2 is 2×1/10 = 2×10^-1.
Answer:
Step-by-step explanation:
the scientific notation is 2 x 10^-1
I am very confused on how to do this.
Answer:
oh, this is very easy, all you do is locate the point for instance it says point : (13,7) if you look the top right segment is quadrant 1 all they did was take the points X axis and y axis and input the point that matches the number into the side where it says exercise. like on the side it says 1 that's all you look at and just find the x axis and y axis point then input it into the right exercise. Also go right to left with quadrants, top right is quadrant 1, top left is quadrant 2, bottom left is quadrant 3, and bottom right is quadrant 4.
Answer:
(13, 7) quad 1. (2, 9) quad 1.Step-by-step explanation:
The picture shows the quadrants.
Coordinates are shown in (x, y) form. The x comes from the x-axis (horizontal), and the y comes from the y-axis (vertical).
==================================================================
To find point 2, locate it on the graph. Imagine a vertical line going straight through the point, and intersecting the x-axis.
Go down to the x-axis, and find where it intersects. For point 2, it is +2 (positive 2). So the x value is 2.
Then to find the y value, imagine a horizontal line going through the point.
Go to the y-axis, and see where it intersects: +9. So the y value is 9.
To find the quadrant, just locate which quadrant it is in by using the picture I have attached.
I hope this helps!
pls ❤ and mark brainliest pls!
If a, b, c are in A.P. show that
a (b + c)/bc,b(c + a) /ca, c(a-b )/bc
are in A.P.
Answer:
Step-by-step explanation:
[tex]\frac{a(b+c)}{bc} ,\frac{b(c+a)}{ca} ,\frac{c(a+b)}{ab} ~are~in~A.P.\\if~\frac{ab+ca}{bc} ,\frac{bc+ab}{ca} ,\frac{ca+bc}{ab} ~are~in~A.P.\\add~1~to~each~term\\if~\frac{ab+ca}{bc} +1,\frac{bc+ab}{ca} +1,\frac{ca+bc}{ab} +1~are~in~A.P.\\if~\frac{ab+ca+bc}{bc} ,\frac{bc+ab+ca}{ca} ,\frac{ca+bc+ab\\}{ab} ~are~in~A.P.\\\\divide~each~by~ab+bc+ca\\if~\frac{1}{bc} ,\frac{1}{ca} ,\frac{1}{ab} ~are ~in~A.P.\\if~\frac{a}{abc} ,\frac{b}{abc} ,\frac{c}{abc} ~are~in~A.P.\\if~a,b,c~are~in~A.P.\\which~is~true.[/tex]
7x to the power of 2 is a what is it
a) monomial
b) binomial
c) Trinomial
Adrian hopes that his new training methods have improved his batting average. Before starting his new regimen, he was batting 0.250 in a random sample of 56 at bats. For a random sample of 25 at bats since changing his training techniques, his batting average is 0.440. Determine if there is sufficient evidence to say that his batting average has improved at the 0.02 level of significance. Let the results before starting the new regimen be Population 1 and let the results after the training be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
According to the manufacturer's claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic, we have that:
The value of the test statistic is z = 1.65.The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.As the test involves a comparison of samples, it involves subtraction of normal variables, and for this, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Before:
Average of 0.250 in 56 at bats, so:
[tex]p_B = 0.25[/tex]
[tex]s_B = \sqrt{\frac{0.25*0.75}{56}} = 0.0579[/tex]
After:
Average of 0.44 in 25 at bats, so:
[tex]p_A = 0.44[/tex]
[tex]s_A = \sqrt{\frac{0.44*0.56}{25}} = 0.0993[/tex]
Test if there was improvement:
At the null hypothesis, we test if there was no improvement, that is, the subtraction of the proportions is 0:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, we test if there was improvement, that is, the subtraction of the proportions is positive, so:
[tex]H_1: p_A - p_B > 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the samples:
[tex]X = p_B - p_A = 0.44 - 0.25 = 0.19[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0579^2 + 0.0993^2} = 0.1149[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{0.19 - 0}{0.1149}[/tex]
[tex]z = 1.65[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a difference of at least 0.19, which is 1 subtracted by the p-value of z = 1.65.
Looking at the z-table, z = 1.65 has a p-value of 0.9505.
1 - 0.9505 = 0.0495.
The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.
A similar question is found at https://brainly.com/question/23827843
Write each as a decimal round to the thousands place 44%
Answer:
44 as a decimal is 0.44 and you can multiply 0.44 by a number to get 44 percent of that number.
The breadth of a rectangular garden is 2/3 of its legth. If its perimeter is 40cm, find its dimensions.
Answer:
12; 8
Step-by-step explanation:
length-x
breadth-2/3x
2(x+2/3 x)=40
2×5/3x=40
10/3x=40
x=40÷10/3
x=40×3/10
x=12 (cm) length
2/3×12=8 (cm) breadth
A truck was driven a 140 miles in 3 1/2 hours. If a car is driven the same distance at an average speed of 20 miles an hour faster than the trucks average speed, how long will it take the car.
Find the speed of the truck:
140 miles / 3.5 hours = 40 miles per hour
The car was 20 miles an hour faster: 40 + 20 = 60 miles per hour.
Divide distance by speed: 140 miles / 60 miles per hour = 2 1/3 hours
Answer: 2 1/3 hours
Answer: 2 2/6 hours
Explanation:
Distance = 140 miles
Time = 3 1/2 hours
= 7/2 hours
Speed = Distance/Time
= 140/(7/2)
= 40 miles
New distance = 140 Miles
New Speed = 60 miles
New Time = 140/60
= 2 2/6 hours
Must click thanks and mark brainliest
Identify the segments that are parallel, if any, if ∠ADH≅∠ECK.
A. AE || CB
B. AD|| CB
C. none of these
D. AC|| CD
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Answer:
C. none of these
Step-by-step explanation:
The given information tells us ΔACD is isosceles, but gives no information about any lines that might conceivably be parallel.
Explain why this quadrilateral is not a parallelogram.
Answer:
A parallelogram has two sets of parallel sides. This quadrilateral only has on set of parallel sides, so therefore it cannot be a parallelogram.
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. Compute the probability
P(35 < X < 58)= ________
Answer:
Probability-Between .8574 = 85.74%
Step-by-step explanation:
Z1=-2.14 Z2=1.14
*x-1 35
*x-2 58
*µ 50
*σ 7
If a plane can climb at 2,400 feet per minute, how many minutes are needed to climb to 60,000 feet?
If a plane can climb at 2,400 feet per minute, how many minutes are needed to climb to 60,000 feet?
Answer:
25 is the amount needed to climb to 60,000 feet
Please help!
It took Suki 127 minutes from start to finish to carve her pumpkin. Carving the pumpkin took her 13 fewer minutes than 10 times as long as it took her to pick the pumpkin out at the pumpkin patch. Write and solve an equation to find how long it took Suki to pick out her pumpkin.
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Answer:
14 minutes
Step-by-step explanation:
Let t represent the time it took Suki to pick out her pumpkin. The given relation is ...
10t -13 = 127 . . . . . equation for minutes to carve
10t = 140 . . . . . . . . add 13
t = 14 . . . . . . . . . . divide by 10
It took Suki 14 minutes to pick out her pumpkin.
Help!! Please I’m stuck give [10pts]
Answer:
x = 18
Step-by-step explanation:
To solve this problem, we can use the exterior angle theorem, which means the measure of an exterior angle is the sum of its remote interior angles. In this case, this would mean:
x + 72 = 5x
Since this gives us an equation, we can just solve for x:
x + 72 = 5x
72 = 4x
x = 18
Which of the following equations has the same solution as 5 x + 8 = x − 9?
A) 4 x = −1
B) 4 x = 17
C) 6 x = −17
D) 6 x = 17
E) 4 x = −17
Please give me a explanation! Willing to give a Brainliest.
[tex]4x=-17[/tex] has the same solution as [tex]5x+8=x-9[/tex]
Option (E) is correct
What is Equation?"An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =."
We have,
[tex]5x+8=x-9[/tex]
By solving the given equation
⇒[tex]5x-x=-9-8[/tex]
⇒[tex]4x=-17[/tex]
Clearly, Option (E) is correct
⇒[tex]x=\frac{-17}{4}[/tex]
Explanation for other options:
(A) [tex]4x=-1[/tex]
⇒[tex]x=\frac{-1}{4}[/tex]
(B) [tex]4x=17[/tex]
⇒[tex]x=\frac{17}{4}[/tex]
(C) [tex]6x=-17[/tex]
⇒[tex]x=\frac{-17}{6}[/tex]
(D) [tex]6x=17[/tex]
⇒[tex]x=\frac{17}{6}[/tex]
∴ [tex]4x=-17[/tex] has the same solution as [tex]5x+8=x-9[/tex]
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Which of the following sets shows all the numbers from the set {0.5,1,2.5,3,3.5} that make the inequality 4a + 2 > 12 true
============================================================
Explanation:
Let's isolate the variable 'a' in the given inequality.
4a + 2 > 12
4a + 2-2 > 12-2
4a > 10
4a/4 > 10/4
a > 2.5
In the second step, I subtracted 2 from both sides to undo the "plus 2". In the second to last step, I divided both sides by 4 to undo the multiplication.
The solution is a > 2.5, meaning that anything larger than 2.5 will work in the original inequality.
For example, we could try a = 3 to get
4a + 2 > 12
4*3 + 2 > 12
12 + 2 > 12
14 > 12
which is true. This makes a = 3 a solution. The value a = 3.5 is a similar story, so it's also a solution.
------------
As an example of a non-solution, let's try a = 1
4a + 2 > 12
4*1 + 2 > 12
4 + 2 > 12
6 > 12
which is false. So we can see why a = 1 is not part of the solution set. You should find that a= 0.5 and a = 2.5 won't work as well for similar reasoning.
giving brainliest! :)
Answer:
239=5
478=10
956=20
Step-by-step explanation:
Gianna's car can travel 478 mi with 10 gallons of gas
so, 47.8 mi with 1 gallon
by dividing 239 by 47.8 miles/gallon we get the answer 5 miles.
if we multiply 20 gallons by 47.8 mi/gallon #e get the answer 956 miles.
easy weasy
This graph represents which expression?
Answer:
x >7
Step-by-step explanation:
There is an open circle at 7, which means it cannot equal 7. The line goes to the right
x >7
Find the sum : (i) 23123, 11001 and 21302 (iii) 21031, 12301 and 32211 (v) 21003, 12346 and 21220 (ii) 32101, 12301 and 1032 (iv) 301242, 123310 and 10002
Answer:
(i) 23123 + 11001 + 21302 = 55426(ii) 32101 + 12301 + 1032 = 45434(iii) 21031 + 12301 + 32211 = 65543(iv) 301242 + 123310 + 10002 = 434554(v) 21003 + 12346 + 21220 = 545691:-
[tex]\\ \sf\longmapsto 23123+11001+21302[/tex]
[tex]\\ \sf\longmapsto 55426[/tex]
2:-
[tex]\\ \sf\longmapsto 21031+12301+32211[/tex]
[tex]\\ \sf\longmapsto 65543[/tex]
3:-
[tex]\\ \sf\longmapsto 21003+12346+21220[/tex]
[tex]\\ \sf\longmapsto 54569[/tex]
4:-
[tex]\\ \sf\longmapsto 32101+12301+1032[/tex]
[tex]\\ \sf\longmapsto 45434[/tex]
5:-
[tex]\\ \sf\longmapsto 301242+123310+10002[/tex]
[tex]\\ \sf\longmapsto 434554[/tex]
If (5x+3):(7x+3)=3:4, find the value of x.
[tex]\\ \sf\longmapsto \dfrac{5x+3}{7x+3}=\dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto 4(5x+3)=3(7x+3)[/tex]
[tex]\\ \sf\longmapsto 20x+12=21x+9[/tex]
[tex]\\ \sf\longmapsto 12-9=21x-20x[/tex]
[tex]\\ \sf\longmapsto x=3[/tex]
[tex]\large\rm \longrightarrow \: {\purple{ \frac{(5x + 3)}{(7x + 3)} \: = \: \frac{3}{4} }} \\ [/tex]
⇛ Now , Cross Multiplying
[tex]\large\rm \longrightarrow \: {\blue{ 4 \: (5x + 3) \: = \: 3 \: (7x + 3)}}[/tex]
[tex]\large\rm \longrightarrow \: {\red{ 20x \: + \: 3 \: = \: 21 \: + \: 3}}[/tex]
[tex]\large\rm \longrightarrow \: {\orange{ 12 \: - \: 9 \: = \: 21x \: - \: 20x }}[/tex]
[tex]\large\rm \longrightarrow \:{\green{ 3 \: = \: x}}[/tex]
⇛ Hence , the value of x is 3
Find the equation (in terms of x) of the line through the points (-2,-3) and (4,-1)
Answer:
y = 1/3x - 7/3
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-3) / 4 - (-2)
2/6
= 1/3
y = 1/3x + b
-1 = 1/3(4) + b
-1 = 4/3 + b
-7/3 = b
How to solve using quadratic equations 4x^2+7x-20=0
Answer:
Step-by-step explanation:
Y = Ax2 Bx C
Enter coefficients here >>> 4 7 -20
Standard Form: y = 4x²+7x-20
1.75 0.875 0.765625 3.0625 -23.0625
Grouped Form: No valid Grouping
Graphing Form: y = 4(x+0.88)²-23.06
Factored Form: PRIME
Solution/X-Intercepts: -3.28 AND 1.53
Discriminate =369 is positive, two real solutions
VERTEX: (-0.88,-23.06) Directrix: Y=-23.13
What is the volume of a pyramid below?
44 in^3
33in^3
22in^3
66in^3
Answer:
66in^3
Step-by-step explanation:
.5 * 3 * 4 * 11 = 66
formula is
.5 * b * h *length
In a 4 day period, a delivery person delivered the following number of
packages per day: 1150, 1200, 1900 and 1350. The average number of
packages he delivered per day was _?_
Answer: 1400 packages
Step-by-step explanation:
1150+1200+1900+1350 divided by the 4 day interval means and average of:
1400 packages per day
What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?
k = –k equals negative StartFraction 3 Over 2 EndFraction.
k = –k equals StartFraction 2 Over 3 EndFraction.
k = k equals StartFraction 2 Over 3 EndFraction.
k = k equals StartFraction 3 Over 2 EndFraction.
Answer: k = 2/-3
Step-by-step explanation: Option (B)
Taking the test as we speak
The table below shows the number of pets kept by the students in a class.
-----------------------------------------------------------
No. of pets | No. of students
-----------------------------------------------------------
0 | 9
1 | k
2 | 2
3 | 1
4 | 2
-----------------------------------------------------------
If the median number of pets is 1, what is the smallest value of k ?
Answer:
The answer for this question is 5
What is 24/9 in simplest form
Answer:
2 2/3
Step-by-step explanation:
hope this helps :)
don't be afraid to ask questions
Write the equation of the line that passes through the points (- 5, 1) and (2, 0) . Put your answer in fully reduced slope intercept form, unless it is a vertical or horizontal line
Answer:
y=-1/7x + 12/7
Step-by-step explanation:
Start by finding the slope
m=(1-0)/(-5-2)
m=-1/7
next plug the slope and the point (-5,1) into point slope formula
y-y1=m(x-x1)
y1=1
x1= -5
m=-1/7
y- 1 = -1/7(x - -5)
y-1=-1/7(x+5)
Distribute -1/7 first
y- 1=-1/7x + 5/7
Add 1 on both sides, but since its a fraction add 7/7
y=-1/7x + (5/7+7/7)
y=-1/7x+12/7
The circle below is centered at (2, 3) and has a radius of 4. What is its
equation?
A. (x-3)2 + (y - 2)2 = 16
O B. (x-3)2 + (y-2)2 = 4
C. (x - 2)2 + (y - 3)2 = 16
O D. (x-2)2 + (y-6)2 = 4
The equation of the circle is [tex](x - 2)^2 + (y - 3)^2 = 16[/tex] . The option C is the correct option.
Given that the centre of the circle is (2,3) and circle has radius 4.
To find the equation of the circle, use the general equation of the circle as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the centre of the circle and r is the radius of the circle.
Since, h = 2, k = 3 and radius r = 4.
Therefore, the equation of the circle:
[tex](x-h)^2+(y-k)^2=r^2\\(x-2)^2+(y-3)^2=4^2\\(x-2)^2+(y-3)^2=16[/tex]
The equation of the circle cantered at (2,3) and has a radius of 4 is [tex](x - 2)^2 + (y - 3)^2 = 16[/tex] .
Therefore, The equation of the circle cantered at (2,3) and has a radius of 4 is [tex](x - 2)^2 + (y - 3)^2 = 16[/tex] .
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