Answer:
a) El procedimiento queda resumido en lo que sigue:
1) Se halla el área de la base del cuadrilátero.
2) Se multiplica el resultado anterior por la longitud del prisma.
b) La expresión para calcular el volumen del prisma ([tex]V[/tex]), en unidades cúbicas, es:
[tex]V = w\cdot h \cdot l[/tex]
Donde:
[tex]w[/tex] - Ancho de la base, en unidades.
[tex]h[/tex] - Altura de la base, en unidades.
[tex]l[/tex] - Longitud del prisma, en unidades.
Step-by-step explanation:
a) Dimensionalmente hablando, la unidad de volumen es igual al cubo de la unidad de longitud. Se explica a continuación los pasos necesarios para el cálculo de prisma cuadrangular:
1) Se halla el área de la base del cuadrilátero.
2) Se multiplica el resultado anterior por la longitud del prisma.
b) En consecuencia, se deriva la expresión para el volumen del prisma:
[tex]V = A\cdot l[/tex] (1)
Donde:
[tex]A[/tex] - Área de la base del prisma, en unidades cuadradas.
[tex]l[/tex] - Longitud del prisma, en unidades.
[tex]V = w\cdot h \cdot l[/tex] (2)
Donde:
[tex]w[/tex] - Ancho de la base, en unidades.
[tex]h[/tex] - Altura de la base, en unidades.
The birth weights (in kilograms) of 5 elephants, selected randomly, are 133, 120, 97, 106, 124 (Source: www.elephant.se). Below are the summary statistics of the data and output from the analysis testing if the true average birth weight of the elephants is 100 kg.
min Q1 median Q3 max mean sd n missing
97 106 120 124 133 116 14.40 486 5 0
t = 2.4837, df = 4, p-value = 0.06794
alternative hypothesis: true mean is not equal to 100 95 percent confidence interval:
XXXXXX XXXXXX
What is the correct calculation of a 95% confidence interval for the true average birth weight of elephant?
(i) 116± 1.96 x 14.4
(ii) 116 ± 1.96 x 14.4/15
(iii)116 ±1.96 x 14.4/14
(iv) 116 ± 2.4837 x 14.4
(v) 116 ±2.4837 x 14.4/15
(vi) 116 ± 2.4837 14.4/74
(vii) 116 ± 2.78 x 14.4
(viii) 116 ± 2.78 x 14.4√5
(ix) 116 ±2.78 x 14.4√4
Answer:
(viii) 116 ± 2.78 x 14.4√5
Step-by-step explanation:
The given data is
Sample size =n= 5
Calculated t- value= 2.4837
Mean= 116
Standard deviation= sd= 14.40486
The t - value from table with 4 d.f for ∝/2 is t∝/2 (n-1)= 2.776
The 95% confidence interval is calculated by
d` ± t∝/2 (n-1) *sd/√n
Putting the values
116 ± 2.776* 14.40486/√5
Comparing these values with the options Part viii gives the best answer.
(viii) 116 ± 2.78 x 14.4√5
2.776 when rounded gives 2.78 and 14.40486 when rounded gives 14.4
The rest are incorrect.
Which equation best matches the graph shown below?
Answer:
y=0.5(x+6)(x+5)
Step-by-step explanation:
Since the parabola goes upwards as it expands from the vertex, the "a" value is definitely positive so the answer must be either the top-left or bottom-right. Next, use the roots to find the final answer. The roots are on the left side of the y-axis which indicates that they are negative. Now you know that the answer is the bottom-right answer because if both roots are negative, then the expressions must include addition to create 0 which is the y-value at the bases.
a driver travelled a distance of 864 km in 12 hours what is the speed of car
answer:
speed= 72 km - per • hour
Answer:
Speed of car = 72 km per hour
Motorbikes have two wheels and cars have four wheels. There are a number of
motorbikes and cars in a parking lot. There are 14 motorbikes. Altogether, there are
324 wheels. How many cars are in the parking lot?
A.74 cars
B.148 cars
C.296 cars
D.310 cars
Answer:
74 Cars
Step-by-step explanation:
If each motorbike has 2 wheels then we need to find how many wheels the motorbikes already take up.
We do this by doing 14*2 and we get 28 wheels.
Afterwards, we subtract this from the total of 324 to see how many wheels are left over. 324-28=296
Now we know the remaining amount of wheels and with this we can get our final answer!
Since there are 296 remaining wheels and each car takes up 4 we can divide 296 by 4 to see how many cars would be able to get their full set of tires.
296/4 = 74 and that;s how you get 74 cars!
*I think LOL*
Please
Solve for the value of k.
Answer:
k = 13
Step-by-step explanation:
The sum of the angles is 180 since they form a straight line
4k-7 + 90 + 3k+6 = 180
Combine like terms
7k+89=180
Subtract 89 from each side
7k+89-89 = 180-89
7k =91
Divide each side by 7
7k/7 = 91/7
k = 13
PLease help me with this math qestion
Answer:
n+3 = 15 ; n = 12
3n -6 = 12; n=6
Step-by-step explanation:
more than means it comes after
a number
n
3 more than
n+3
is 15
n+3 = 15
Subtract 3 from each side
n+3-3 = 15-3
n = 12
Subtract from comes after
three times a number
3n
six subtracted from
3n -6
is 12 means equal to
3n -6 = 12
To solve add 6 to each side
3n -6+6 =12+6
3n = 18
Divide by 3
3n/3 =18/3
n =6
Answer:
A = 3 - x = 15 B = 6 - 3 times x = 12
Step-by-step explanation:
simplify the expression (c^7)^9(c^0)^5
Answer:
c^63 Your welcome !!
Step-by-step explanation:
Which of the following expressions are equivalent to 63? Check all that are true.
Answer:
A & E
Step-by-step explanation:
Main equation: [tex]6^{3} = 216[/tex]
A. [tex]\frac{6^{7} }{6^{4}} = 6^{3} = 216[/tex]
B. 18
C. [tex](6^{1})^{2} = 36[/tex]
D. 81
E. 6 * 6 * 6 = 216
F. [tex]6^{2} + 6^{1} = 36 + 6 = 42[/tex]
Hope this helps!
Please mark as the Brainliest!
PLEASE HELP!!!!
WILL MARK BRAINLIEST!!!
Solve for X.
Multiple choice!
Thank you!
Answer:
6x - 21 = 105 (vertically Opposite angles)
6x = 105 + 21
6x= 126
x=126/6
x= 21°
That should be the fifth option
OR
Another Way of solving
(6x - 21) + 75 = 180 ( angles on a straight line)
6x -21 + 75 =180
6x + 54 = 180
6x =180 - 54
6x = 126
x=126/6
x=21°
[tex] \large \sf \star \: \green{Answer} \: \star[/tex]
x = 21 °
Step-by-step explanation:
Here,
Angle 75 ° and ( 6 x - 21 ) are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.So, 6 x - 21 ° + 75 ° = 180 °6 x - 21 ° + 75 ° = 180 °
6 x + 54° = 180 ° ...( Combine like terms)
subtract 54 ° from each sides
54° - 54° + 6 x = 180 ° - 54 °
6 x = 126°
x = 126 ° / 6 ...( Divide by 6 )
x = 21 °
What is the awnsers helppppp
Answer: 0.77
Step-by-step explanation:
Answer:
0.23
Step-by-step explanation:
the chart adds up to 1 as a whole so 23% chose football and there is a 23% chance the next person will also choose football.
How many ounces in 31/2 pounds
Answer:
248 ounces
Step-by-step explanation:
I hope this helps :D
Answer:
248 ounces is the correct answer hope you will like it and Mark me as BRAINLIEST!!!!
How do you know the absolute value of a number?
Step-by-step explanation:
It is very simple
Any number's absolute value should be positive
Let's say absolute value of 3 - >answer is 3
But absolute value of - 3 - > is also 3
Hope you understood it.
Answer:
Step-by-step explanation: In order to find the absolute value all you do is see what number you have and turn into an positive, say "what is the absolute value" of -5" it would just be 5,
Hope this helps :)
Martin deposits $200 in a savings account that earns 5% annual interest. Four years later, Cary deposits $200 in an account earning the same interest. Let M represent the balance in Martin’s account and let C represent the amount of money in Cary’s account.
Complete question :
Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earning the same interest. let m represent the balance in martins account and let c represent the amount of money in carys account. choose the pair of expressions that describe the accounts y years after martin opened his account. martin: 200(1.05)y cary: 200(1.05)y+4 martin: 200(1.05)y+4 cary: 200(1.05)y4 martin: 200(0.05)y cary: 200(0.05)y4 martin: 200(1.05)y cary: 200(1.05)y4 choose the equation that relates the balances in the accounts y years after martin opened his account. c = m(1.05)4y m = c(1.05)4y c = 1.22m m = 1.22c
Answer:
m = m = 200(1.05)^y+4
c = m = 200(1.05)^y
m = 1.22c
Step-by-step explanation:
The future value can be represented as :
Future value, F = P(1 + r)^n
r = interest rate = 5% = 0.05 , n = number of years ;
For Martin :
m = 200(1 + 0.05)^n
For cyan :
c = 200(1 + 0.05)^n
y years after Martin
Cyan opened 4 years after Martin :
Representing in terms of y
Cyan = y ; Martin = y +4
m = m = 200(1.05)^y+4
c = m = 200(1.05)^y
From. Indices :
(1.05)^y+4 = 1.05^y * 1.05^4
Hence,
m = 200 * 1.05^y * 1.05^4
c = 200 * 1.05)^y
Hence,
m = c * 1.05^4
m = c * 1.2155
m = c * 1.22
m = 1.22c
Answer:
the first question is d and so is the second one
What is wrong with this dot plot?
If f(x) = 4x - 3 and g(x) = x + 4, find (f-g)(x).
A. 3x-7
B. 5x-1
C. 5x - 7
D. 7 - 3x
9514 1404 393
Answer:
A. 3x -7
Step-by-step explanation:
Substitute for f and g, then collect terms.
(f -g)(x) = f(x) -g(x) = (4x -3) -(x +4)
(f -g)(x) = 4x -3 -x -4 = (4-1)x +(-3-4)
(f -g)(x) = 3x -7
How do I solve this math problem? The answer is: x = a^2/a-3
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
In 2010 there were 3200 tigers in the wild. In 2016 there were 3890 tigers in the wild. What is the percentage increase?
Step-by-step explanation:
3890 - 3200
=690
(690÷3200) x 100%
=21.56%
Answer:
21.56/ 21.6/ 22 (depending on the decimal places you want)
Step-by-step explanation:
Current figure- original figure / Original figure * 100
3890-3200 = 690
690/3200 = 0.215625
0.215625 * 100 = 21.56 / 21.6 / 22
* means multiply
Find the volume of the prism or pyramid below
Answer:
6.3 Cubic cm
Step-by-step explanation:
[tex]V=A*h=(1.8*1.2+.5*1.1*1.8)*2=6.3cm^{3}[/tex]
What is the value of z in the equation 3z+9=z?
The size of a large milkshake is 1.4 times the size of a medium milkshake. Write 1.4 as a percent. F u
Answer:
1.4%
Step-by-step explanation:
1.4 = [tex]\frac{14}{1000}[/tex]
=[tex]\frac{14/10}{1000/10}[/tex]
=[tex]\frac{1.4}{100}[/tex]
=1.4%
For one roadway section, the average number of cars passing a point is 2200 pcphpl (i.e. passenger cars per hour per lane). The cars travel at an average speed of 42 mph. What is the average distance (in feet) between common points (e.g. the front bumper) on successive cars in one lane
Answer:
The average distance between common points on successive cars in one lane is of 100.8 feet.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
The cars travel at an average speed of 42 mph
Each mile has 5280 feet, so in 1 hour, the distance is of 42 miles = 221760 feet.
2200 pcphpl (i.e. passenger cars per hour per lane).
2200 cars in 221760 feet. Thus:
[tex]d = \frac{221760}{2200} = 100.8[/tex]
The average distance between common points on successive cars in one lane is of 100.8 feet.
wegnerkolmp2741o can you please answer this I will mark brainliest
An isosceles triangle has two 5.5 cm sides and two 32.4° angles. Explain how to determine the perimeter of the triangle. Include a diagram in your solution. You do NOT need to solve.
Answer:
see below
Step-by-step explanation:
The drawing in blue is what we are told in the problem.
We are given two sides and two angles. It is an isosceles triangle with two equal sides and two equal angles. Draw a perpendicular bisector ( it makes a 90 degree angle. Now we have two identical right triangles. We can use trig functions to find x
cos theta = adj/ hyp
cos 32.4 = x / 5.5
Solving for x
5.5 cos 32.4 =x
Now we have 2x for the third side of the triangle
2( 5.5 cos 32.4) is the third side
P = 5.5 + 5.5 + 2( 5.5 cos 32.4)
Answer:
See the Below
Step-by-step explanation:
Draw a circle with a radius of 5.5 and center at A.Take any point B on the circle and join AB.Draw a line thru B making an angle 32.4 with AB which intersects the circle at D. Extend AD on both sides.Draw two circles with a radius of 5.5cm and centers B and D which intersect the line BD at E and F.Measure length EF, which is the perimeter of triangle ABD.=20.3 cm.Method 2. Assume that base of the triangle =x cm.x/2= 5.5 cos 32.4 and x=11*cos 32.4 =11*0.844=9.287Perimeter = 20.287Which inequality about the number line shown below is true
i got it wrong dont lisen to this
Answer:
option D
Step-by-step explanation:
D is equal to 0 that is greater than B which is -2 by theory
Which is a factor of 10?
OA. 40
B. 10
C. 30
D. 20
Answer: B. 10
Explanation: Any number is a factor of itself.
We can rule out choices A, C and D because those values are larger than 10. They are multiples of 10, but not factors of 10.
6 +7 ( □ +7 5) = 1
help me pls
Answer:
Can't be possible.
Step-by-step explanation:
Given:
6+7(x+75)=1
So according to given equation it can't be possible because when we add some value in 6 their result will be always greater than 1.
2. 5 9. 14. ?. 27
18
20
21
16
Which is the missing number people :)))
Answer:
20
Step-by-step explanation:
The pattern goes
+3, +4, +5, +6, +7...
14+6=20
The missing number is 20
Short Response
Shantelle wants to rent a mid-size car for one day. Value Rent-a-Car charges $20 a day plus $0.20 per
mile, and Best Rent-a-Car charges $30 a day plus $0.10 per mile for rental of the same mid-size car.
Part A) Write an equation in slope intercept form, y=mx+b, for each car:
Value Rent-a-Car: y=0.20x+20
Best Rent-a-Car: y=0.10x+30
Part B: Determine the mileage where the rental charges are the same.
9514 1404 393
Answer:
100 miles
Step-by-step explanation:
A. The answers shown are correct
__
B. Equate the values of y and solve for x.
0.20x +20 = 0.10x +30
0.10x = 10 . . . . . . . subtract (20+0.10x)
x = 100 . . . . . . . . divide by 0.10
The rental charges are the same for 100 miles.
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
132.3328 or 132.33 if you round do the nearest hundredth
Step-by-step explanation:
To find area, just multiply length by width. 14.26x9.28=132.3328
5(a^6+2a^5)-6a(5a^4-7a^3)
Answer:
a4(5a2−20a+42)
Step-by-step explanation:
Factor 5(a6+2a5)−6a(5a4−7a3)
5a6−20a5+42a4
=a4(5a2−20a+42)
Make me brainliest!
in order for the parallelogram to be a rhombus x=?
Answer:
x = 12
Step-by-step explanation:
In a rhombus, the diagonal is also the bisector of the angle, so the two vlaue must be congruent
2x + 35 = 8x- 37
6x = 72
x = 12
