Given:
Height of a trapezoidal prism = 10 cm
Base lengths are 3 and 4 cm.
Base height = 2 cm
To find:
The volume of the trapezoidal prism.
Solution:
Base area of a trapezoidal prism
[tex]B=\dfrac{a+b}{2}\times h[/tex]
Where, a,b are base lengths and h is the base height.
Putting [tex]a=3,b=4,h=2[/tex], we get
[tex]B=\dfrac{3+4}{2}\times 2[/tex]
[tex]B=7[/tex]
The volume of a trapezoidal prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting [tex]B=7,h=10[/tex], we get
[tex]V=7\times 10[/tex]
[tex]V=70[/tex]
Therefore, the volume of the trapezoidal prism is 70 cubic cm.
Kat is interested in getting chickens so she can have fresh eggs. Before she buys her chickens, she wants to find the mean number of eggs each one will lay. She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month. She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs. The resulting interval is (22.96, 26.64). Which of the following correctly interprets the 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay within one month?
90% of all chickens at this farm lay between 22.96 and 26.64 eggs.
In repeated sampling, 90% of the time the true mean number of eggs chickens at this farm lay is 24.8.
Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.
In repeated sampling, 90% of the time the true mean number of eggs laid by chickens from this farm will be captured within the interval (22.96, 26.64).
Answer:
C. Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.
Step-by-step explanation:
Edge 2021
Please rerrrdjkdjrrjrjjrjrjr
Answer:
C
Step-by-step explanation:
14x4=56 and 26x2=52 so with process of elimination you get C
Answer:
M = 21.n =19
That should do
Hi! Answer this please!
Calcula y comprueba las ecuaciones: plisss lo necesito alguien me puede ayudar a) 2X = 6 b) 10 + Z = 20 c) P + 9 = 11 d) 3X + 8 = + 29 e) 2U + 8 = 10
Answer:
a) x=3
b) z=10
c) P= 2
d) X=7
e) U=1
Step-by-step explanation:
Resolver una ecuación consiste en hallar los valores de la variable que hacen cierta la igualdad.
a) 2x= 6
El coeficiente es el número junto a la variable. En este caso, el coeficiente es 2. Para eliminar este número en la expresión 2x, debido a que la variable x esta multiplicada por 2, deberás dividir ambos lados de la ecuación entre 2, debido a que la operación opuesta de la multiplicación es la división.
(2x)÷2=6÷2
x= 3
Comprobar la solución de una ecuación se hace al remplazar la variable en una ecuación con el valor de la solución. La solución debería satisfacer la ecuación cuando se ingresa en esta.
En este caso:
2*3= 6
6=6
b) 10 + z= 20
En este caso se debe sumar o restar la constante que se encuentra acompañando a la variable en ambos lados de la ecuación de manera de aislar el término de la variable. En este caso:
10 - 10 + z= 20 -10
z= 10
Comprobación:
10 + z=20
10 + 10=20
20=20
c) P + 9= 11
P +9 - 9= 11 -9
P=2
Comprobación:
2 + 9= 11
11=11
d) 3X + 8 = 29
En este caso, se suma o resta la constante en ambos lados de la ecuación y luego se elimina el coeficiente de la variable mediante la división o multiplicación. Esto es:
3X + 8 - 8= 29 - 8
3X= 21
3X ÷3= 21÷3
X=7
Comprobación:
3*7 + 8=29
21+8=29
29=29
e) 2U + 8= 10
2U + 8 - 8= 10 -8
2U= 2
2U ÷2= 2÷2
U=1
Comprobación:
2*1 + 8= 10
2 + 8= 10
10=10
What percent of 965 is
1932
Answer: It is 202.1 lol
Stan drove 3300 \text{ m}3300 m3300, start text, space, m, end text to the grocery store. The tires on his truck are 2.2 \text{ m}2.2 m2, point, 2, start text, space, m, end text in circumference.
Answer:
58,928.6 rotations
Step-by-step explanation:
2.2 in x (2.54cm/in) x (1m/100cm)= .056 m/circumference
3300m/(.056m/rotation) = 58,928.6 rotations
4. Jason can travel 24 miles in hour . What is his average speed in miles per hour?
Answer:
if he is traveling 24 miles in an hour his average speed is going to be 24mph.
Answer:
Hello There!
Step-by-step explanation:
Your answer is:
24 miles per hourThis is because if he travels 24 miles in an hour, he stays that constant of 24 miles per hour.if this helps please give me a thanks!!
- abakugosimp
Consider the two points (1, 6) and (4, 48).
a. Is there a line that goes through these two points? How do you know? If there is one, what is the equation of the line going through these
Answer:
Yes there is a line
y=14x-8
Step-by-step explanation:
use slope formula and incorporate the slope into the coordinates
Answer:
[tex]y = 14x - 8[/tex]
Step-by-step explanation:
. Using euclid postulate,
" any two points can be on a line".
So yes a line can be formed
Use the linear equation in ppont-slope form
[tex]y = mx + b[/tex]
where m is slope, b is the y intercept.
We can find the slope of the points first.
[tex]48 - 6 = 42[/tex]
[tex]4 - 1 = 3[/tex]
[tex] \frac{42}{3} = 14[/tex]
Our slope is 14.
We can plug in any two coordinates to find b.
[tex]14(1) - b = 6[/tex]
[tex] - b = - 8[/tex]
So our equation is
[tex]y = 14x - 8[/tex]
If SU=11, What is VW=
Answer:
22
Step-by-step explanation:
if you look closely VW looks like two SU
so 11 × 2 = 22
Mark as Brainllest
To solve the system of linear equations 8x+ by - 18 and 6x+y=-2 by using the linear combination method, Amos decided that he should first multiply the second equation by -5 and then add the two equations together to eliminate the y terms. His
calculations are as shown. Amos’s solution is (2,-14). What did he do wrong?
Find the value of x.
Answer: x=133
Step-by-step explanation:
This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).
You first add up all your side:
150+130+97+120+90 +x = 587 + x
587+x = 720
x=133
someone help me please!!
Answer:
346
Step-by-step explanation:
(40*22)-(34*16)
=880-544
=346
Answer:336
Step-by-step explanation:
22x40=880 total sq ft
16x34=544 inner sq ft
880-544=336
what is the approximate circumference of a plate with a diameter of 12 inches? use 3.14 for π. Round to the nearest hundredth if necessary. (I really need this it's a test)
Answer:
37.7
Step-by-step explanation:
C=πd=π·12≈37.69911
rounded to the nearest hundredth 37.7.
hoped this helped.
Find the volume of the composite figure below.
Answer:
Volume of composit figure= 4834.14 cm^3
Step-by-step explanation:
here's your solution
=> Radius of hemisphere = 9 cm
==> volume of hemisphere = 2/3πr^3
==> volume of hemisphere = 2/3*22/7* 9^3
==> volume = 1526.04 cm^3
=> Radius of cylinder = 9 cm
=> Height of cylinder = 13 cm
==> volume of cylinder = πr^2h
==> volume of cylinder = 22/7*9^2*13
==> volume of cylinder = 3,308.1 cm^3
Volume of composit figure = 1526.04 + 3308.1
= 4834.14 cm^3
hope it helps
Clarissa had a strip of leather that was n yards long. She cut the strip into pieces that were each 1/4yard long, with no leather left over. She used all of the pieces and made 9 bracelets. Which equation represents this situation?
Answer:
I don't know what the options are, but my equation is (1/4) * n = 9
Step-by-step explanation:
n yards
Each strip = 1/4 yard
9 bracelets made
9 = (1/4) * n
Can someone help me find the volume of this shape please?
Answer:
the answer is 11.7
Step-by-step explanation:
The volume V of a cone varies jointly as the area of the base B and the height
h. V = 32 cm, when B = 16 cm2 and h = 6 cm. Identify h when
V = 60 cm3 and B = 20 cm2.
Answer:
h = 9 cm.
Step-by-step explanation:
V = kBh where k is the constant of variation.
From the given info:
32 = k*16*6 = 96k
So k = 32/96 = 1/3.
So we have the equation of variation:
V = 1/3Bh
When V = 60 B = 20, so:
60 = 1/3 20h
20h = 60 * 3 = 180
h = 180 /20 = 9.
1/4 + 1/6 = 1/6 + 1/4
Answer:
This is true
Step-by-step explanation:
The fractions are just switched around.
Please answer question attatched thanks :)
Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b) [tex]\frac{12.8}{sin(63)} = \frac{12.4}{sin (B)}[/tex]
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines:
answer for brainlest and 10 points
Answer:
This is irrational. Pretty much anything with pi is irrational.
Step-by-step explanation:
Pi is irrational, so this irrational as well.
Answer:
The number π is an irrational number, so it cannot be expressed as a fraction. Since π is irrational, it follows that π/2 is also irrational.
Can someone help me please
Answer:
A. T > 50
Step-by-step explanation:
solve for x
[tex]\frac{7}{x+4}[/tex] = 4
Give your answer as an improper fraction in its simplest form.
Answer:
-9/4 = x
Step-by-step explanation:
4 is the same as 4/1
this problem is a proportion which can be solved by cross-multiplying:
7 = 4(x+4)
7 = 4x + 16
-9 = 4x
-9/4 = x
The world famous gambler from Philadelphia, Senor Rick, proposes the following game of chance. You roll a fair die. If you roll a 1, then Senor Rick pays you $25. If you roll a 2, Senor Rick pays you $5. If you roll a 3, you win nothing. If you roll a 4 or 5, you must pay Senor Rick $10, and if you roll a 6, you must pay Senor Rick $15. Is Senor Rick loco for proposing such a game? Explain.
Answer:
You lose $0.833 while Rick gains $0.833, and so Rick is not Loco
Step-by-step explanation:
There are six numbers on a dice. Thus, probability of rolling exactly one number = 1/6
Probability of rolling two is 2/6.
Rolling a 1 pays $25, and probability = 1/6
Rolling a 2 pays $5,and probability = 1/6
Rolling a 3 pays $0, and probability = 1/6
Rolling a 4 or 5 pays -$10, and probability = 2/6
Rolling a 6 pays -$15, and probability = 1/6
Thus,lets calculate the expected value;
EV = (25 × 1/6) + (5 × 1/6) + (0 × 1/6) + (-10 × 2/6) + (-15 × 1/6)
EV = - $0.833
This means you lose $0.833 while Rick gains $0.833, and so Rick is not Loco.
Is y=(x-6) 2 to the second power linear fraction or nonlinear fraction
Answer:
Non - linear as for it is not a straight line.
Step-by-step explanation:
To the second power it would make a curve not straight line.
Answer:
Do you mean y = (x-6)^2? If yes, it is NONLINEAR FRACTION
Step-by-step explanation:
If you graph it, it forms a parabola so it is considered as nonlinear fraction/function
PLEASE HELP RIGHT NOW
You randomly choose one hat from 3 green hats, 4 black hats, 2 white hats, 2 red hats, and 1 blue hat.
Find the probability of the event: NOT choosing a white hat
Answer:
10/12
Hope it helps.
what is the measure angle of C?
enter your answer like this: 42
Answer:
63
Step-by-step explanation:
Sum of all the angles of a triangle is 180
so 70+47+X=180
X= 180-117
X=63
PLEASE IM BEGGING SOMEONE TO HELP WITH SCALE FACTOR!!!!!!!
Answer:
Ratio that would go in box b.
ratio=16:36
Ratio that would go in box c.
is =64:216
Ratio that would go in box d.
is=2:7
This can be found by 8:343 which represents 2³:7³
Means D denotes to exponent
3-D ratio falls under c
So
ratio on box c is
4³:6³64:216#4
Ratio on box D is 2:7 (Found at top)
#5
Box f is under 2-D
2²:7²
4:49For box b
the ratio is
4²'6²=16:36The lengths of two sides of a triangle are 24 inches and 43 inches. What is the range of the possible lengths, in inches, for the third side, x, of this triangle?
Answer:
19 < x < 67
Step-by-step explanation:
triangle inequality theorem:
x + 24 > 43
43 + 24 > x
The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,
⇒ 19 < x < 67
What is mean by Triangle?Any triangle which is a three sided polygon, and, has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The lengths of two sides of a triangle are,
⇒ 24 inches
And, 43 inches.
Hence, The range of the possible lengths, in inches, for the third side, x, of this triangle is find as;
⇒ 43 - 24 < x < 43 + 24
⇒ 19 < x < 67
Therefore, The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,
⇒ 19 < x < 67
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
-0.85 - (-¼) + 0.4 + (-⅖) ?
what is the value of this expression?
Answer:
-0.6
Step-by-step explanation:
-0.85-(-1/4)+0.4+(-2/5)
=-0.85+0.25+0.4-0.4
=-0.6
PLEASE ANSWER THESE! I WILL GIVE BRAINLIEST!! YOU NEED TO Solve each equation. Find the missing number by step by step!
Step-by-step explanation:
4. E=-6
-9
multiply both sides by the LCM=-9
-9 × (e) = -6×-9
-9
therefore the LCM will cancel I out the denominator
e = -6×-9
e= -54
5. K =2
12
multiply through by the LCM=12
12×(k)=2×12
12
cross out
k=24
6. m=-10
6
multiply through by the LCM=6
6×m=-10×60
6
cross out
m=-60
So follow suit