1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:
Answer:
Cuadrilátero A: [tex]A = y^{2}+4\cdot y +4[/tex]
Cuadrilátero B: [tex]A = a^{2}+6\cdot a + 9[/tex]
Step-by-step explanation:
Existen dos formas distintas de determinar las áreas de cada cuadrilátero:
(i) Obtener el área de cada cuadrado y sumar los resultados.
(ii) Calcular los lados del cuadrilátero grande y determinar el área.
Cuadrilátero A
Método (i)
[tex]A = y^{2}+2\cdot y +4+2\cdot y[/tex]
[tex]A = y^{2}+4\cdot y +4[/tex]
Método (ii)
[tex]A = (y+2)\cdot (y+2)[/tex]
[tex]A = y^{2}+4\cdot y + 4[/tex]
Cuadrilátero B
Método (i)
[tex]A = a^{2}+3\cdot a +9 + 3\cdot a[/tex]
[tex]A = a^{2}+6\cdot a +9[/tex]
Método (ii)
[tex]A = (a+3)\cdot (a+3)[/tex]
[tex]A = a^{2}+6\cdot a + 9[/tex]
An automobile manufacturer claims that its jeep has a 59.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep since it is believed that the jeep has an incorrect manufacturer's MPG rating. After testing 160 jeeps, they found a mean MPG of 59.7. Assume the standard deviation is known to be 1.3. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.
Answer:
The value of the test statistic is -0.97
Step-by-step explanation:
This test is two tailed test.
Null and Alternative hypothesis is as follow
Null Hypothesis is used when it is assumed that there is no significant difference between the values.
Null Hypothesis = [tex]H_{0}[/tex] = [tex]\mu =[/tex] 59.8
The Alternative hypothesis is the alternative of the Null Hypothesis. It is an experimental technique that is used when it is assumed that there is some difference
Alternative Hypothesis = [tex]H_{a}[/tex] = [tex]\mu \neq[/tex] 59.8
Test statistcs is z
The value of test statistics can be calculated using the following formula
Test Statistics [tex]= (\bar x - \mu ) / \sigma / \sqrt n[/tex]
Test Statistics [tex]= (59.7-59.8) / 1.3 / \sqrt 160[/tex]
Test Statistics = -0.97
What is the leading coefficient of the polynomial f(c) defined below? need help asap!
Answer: 7
Step-by-step explanation:
The leading coefficient is the number before the term with the highest power in your polynomial. The coefficient is just a number or constant that is before a variable in your expression.
In this case, the highest degree in this polynomial is five. If we look at the coefficient of that term, we see that it is seven.
y + 8 = 2
How do you show your work for this problem ?
Answer:
-6
Step-by-step explanation:
y+8=2
-8. -8 -> subtract 8 to leave y by itself
y=-6
Answer: Well you have to subtract 8 from both sides so 8-8 crosses off 2-8 equals -6 so y equals -6.
Step-by-step explanation:
Hope it helps! Mark me brainliest.
2x-1=7
Not sure how to start to solve this equation
Answer:
x equals 4. 2x4 is 8-1equals 7
Answer: x=4
Step-by-step explanation: 2x−1=7
2x−1+1=7+1
2x/2=8/2
x=4
Evaluate the expression x + 8/27. Evaluate the expression for x=8/9
Answer: 32/27
Step-by-step explanation:
x = 8/9
x + 8 /27
[tex]\frac{8}{9} + \frac{8}{27} \\\\\frac{8}{9} * 3 = \frac{24}{27}\\\\\frac{24}{27} + \frac{8}{27}\\\\\frac{24 + 8}{27} \\\\\frac{32}{27}[/tex]
Answer:
Substitute the value of the variable into the equation and simplify.
Exact Form:
32 /27
Step-by-step explanation:
Which property is used in the first step to solve this equation
4(x-6)=5
4x-24 = 5
4x= 29
x=29/4
Answer:
Distributive property
Step-by-step explanation:
1. A shirt, x, is discounted 20%; what is the sale price?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
2. A family left a 20% tip after their meal. What is the final cost of their meal if the food cost x dollars?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
3. A store adds a 120% markup to the cost of an item before selling it to the customers
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
Answer:
.8x
Step-by-step explanation:
There are 450 student at a school if each classroom codes 30 students How many classrooms are Needed at the school
Answer:
15 rooms are needed at the school
Step-by-step explanation:
Solve:
Divide 450 (the number of students) by 30 (the number of students per classroom)
450/30= 15
Check your work:
30*15= 450
Hope this helps!
set up and solve a quadratic equation to work out the value of x
The next day the gas tank in dad’s car holds 24 gallons. The gas tank in mom’s truck holds 50% less than that. How much gas does the truck’s tank hold?
24 gallons * 50%
24 gallons * .5
=12
24-12
= 12
thy answer is 12 .
Answer:
Mom's truck would hold 12 gallons.
Step-by-step explanation:
If you take 24 and divide it into 2 parts you would get your answer because 50% would be half of the whole number of that makes any sense
SOLVE: 3x+4y = 18 and -2x+4y = 8
Answer:
1, if solved for x = 6 - 4y/3 & y = 9/2 - 3x/4
2, x = -4 + 2y & y = 2 + x/2
Step-by-step explanation:
put a digit in the gap, such that the answer is a whole number 10x + 11 = 144
Answer:
13.3 or 13
Step-by-step explanation:
10x+11=144
10x=144-11
10x=133
x=133/10
x=13.3
someone help whats the work for what is 107% of 150
Answer:
If it's 107% of 50 the answer would be 53.5
If it's 107% more than 50 it would be 103.5
Step-by-step explanation:
107% of 50 is 53.5
50 × 107% = 53.5
50 × 107% = 53.5
+50
--------
103.5
Answer:
160.5
Step-by-step explanation:
you but 107% 150 = what it well give you the answer
What is the value of d in the equation?
d'= 14
WORTH 20 POINTS!! HELP PLEASEE
The function g(t) = - 16t2 + vt + h represents the height of an object, g, in feet, above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Part B: What domain makes sense for the function in this context?
1. all positive numbers
2. 0 ≤ t ≤ 100
3. 0 ≤ t ≤ 5
4. all real numbers
Answer:
Step-by-step explanation:
g(t) = -16t² + vt + h
"rocket is launched off the ground at an initial velocity of 80 feet per second"
v = 80
h = 0
g(t) = -16t² + 80t
:::::
The roots of -16t² + 80t are t=0 and t=5. In other words, the rocket hits the ground after 5 seconds.
Domain: 0 ≤ t ≥ 5
7. The school librarian orders 35 new
books each year. How many new
books did the librarian order in the
past 12 years?
Answer:
420
Step-by-step explanation:
35x12
Find the slope and y-intercept of equation y= 10x + 18
Answer:
slope is 10
y-intercept is 18
Step-by-step explanation:
The slope and y-intercept in y = 10x + 18 are 10 and 18 respectively.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given a line in slope-intercept form which is y = 10x + 18.
We know in y = mx + b, slope = m, and y-intercept = b.
∴ In y = 10x + 18.
Slope = 10 and y-intercept = 18.
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ5
Find the slope, I don't know how though.
Answer:
slope is -2
Step-by-step explanation:
An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes. The taxi time has a bell/mound shape distribution. On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time. Round the final answer to 2 decimal places.
Answer:
The z score for your flight's taxi time is of 2.14.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.
This means that [tex]\mu = 15, \sigma = 1.4[/tex]
On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.
This is Z when [tex]X = 18[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{18 - 15}{1.4}[/tex]
[tex]Z = 2.14[/tex]
The z score for your flight's taxi time is of 2.14.
You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.
The z score for our flight's taxi time is approx 2.14286
How to convert a normal distribution variate to standard normal distribution variate?Suppose you have got a normal distribution variate with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have
[tex]X \sim N(\mu, \sigma)[/tex]
To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
For the given case we have:
Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,
[tex]X \sim N(15, 1.4)[/tex]
Converting it to standard variate:
[tex]Z = \dfrac{X - 15}{1.4}[/tex]
Since the observed taxi time was 18 minutes, thus, we have X = 18,
Getting the z score:
[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]
Thus,
The z score for our flight's taxi time is approx 2.14286
Learn more here about normal distribution here:
brainly.com/question/14989264
Round to 2 significant figures 0.000789
Answer:
0.00079
Step-by-step explanation:
Leading zeroes dont count as sig figs, just round the final value and that gives your answer in 2 sig figs.
Hellppppp........ pleasee
Answer:
Step-by-step explanation:
The set of points in the 2nd row does not represent a function, because the x-coordinate 2 is associated with more than one y-coordinate.
Functions are one-to-one: For each x value there is one y value associated.
What is the value of x in the equation -2 = 5x + 3
Answer:
-1
Step-by-step explanation:
Solve for a 4/a+4= -1/a+9
Answer:
a = -8
Step-by-step explanation:
4/a + 4 = -1/a + 9
-1(a + 4) = 4(a + 9)
-1a - 4 = 4a + 36
-5a - 4 = 36
-5a = 40
a = -8
Blakes goes from averaging 8 hours of sleep for a school night to averaging 6.5 hours of sleep on the weekend. What is the percent of change in the average hours of his sleep? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK. DO NOT BOTHER ANSWERING IF YOU DO NOT TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)
Answer:
Step-by-step explanation:
So Blakes sleep 8 hours per night during the school day
8 hours/night...................................100%
6.5 hours/night...................................?
6.5*100/8=81.25
the change in percentage is 100-81.25=18.75%
the percentage change is 18.75
if it is easier for you, another method is:
8-6.5=1.5 subtract the original amount to the new amount
1.5/8=0.1875 divide by the original amount
0.1875*100=18.75 find the percentage
SOMEONE HELP I'LL MARK CORRECT ANSWER BRAINLY
Answer:
B
Step-by-step explanation:
5r+r= what dose this equal
Answer:
Step-by-step explanation:
5
Expand this expression
.-(-5+ +12)
Answer:
-(-5+12)
opening bracket
-1×-5=5
-1×+12=-12
5+12=17
Answer: = -7
Step-by-step explanation:
you have to remove the + sign and the period and your answer will be -7
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLS SHOW THE WORK!!!!!!!!
Now im not 100% sure, but this is what i got (for number one).
y=2x−1
Swap sides so that all variable terms are on the left hand side.
2x−1=y
Add 1 to both sides.
2x=y+1
Divide both sides by 2.
2x/2 = y+1/2
Dividing by 2 undoes the multiplication by 2.
So therefore, X = Y+1/2.
(i couldnt explain that very well im sorry, i dont know the 2nd answer im very bad at these)
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
Explain your answer !!
Have a great day
Will give brainlst
Answer:
1) Peru 2: Columbia 3) Brazil 4) Venezuela
Step-by-step explanation:
i found my answer by looking at which countries have the LEAST oil. Those are the countries who will be most impacted if more people use there oil. I hope this helps :)