1. What is the surface area of the composite figure? Show ALL your work.
2. What is the volume of the composite figure? Show ALL your work.
Answer:
1. 144.4 m²
2. 120 m³
Step-by-step explanation:
The figure is composed of a triangular prism and a rectangular prism
1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)
✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L
b = 5 m
h = 2 m
s1 = 3.2 m
s2 = 3.2 m
s3 = 5 m
L = 6 m
Plug in the values
Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6
= 10 + (11.4)*6
= 78.4 m²
✔️Area of rectangular prism = 2(LW + LH + WH)
L = 6 m
W = 5 m
H = 3 m
Plug in the values
Area of rectangular prism = 2(6*5 + 6*3 + 5*3)
= 126 m²
✔️Area of the face joining both figures = L*W
L = 6 m
W = 5 m
Area = 6*5 = 30 m²
✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)
= 48.4 + 96
= 144.4 m²
2. Volume of composite figure = volume of triangular prism + volume of rectangular prism
= ½*a*c*h + L*W*H
a = 2 m
c = 5 m
h = 6 m
L = 6 m
W = 5 m
H = 3 m
Plug in the values
Volume = ½*2*5*6 + 6*5*3
Volume = 30 + 90 = 120 m³
Which of the following is a quantity that could be represented by the number 2 x 10-3?
Answer:
90
Step-by-step explanation:
Determine if the following probability is experimental or theoretical.
Abbey threw 10 foul shots and made 6 of them. What is the probability Abbey will make her next shot?
A)Experimental
B)Theoretical
Find the missing length indicated
Please help, no links
Answer:
x = 48
Step-by-step explanation:
36/x = x/64
x² = 36 x 64 = 2304
x = √2304 = 48
Identify the null and alternative hypothesis in the following scenario.
To determine if battery 1 lasts longer than battery 2, the mean lasting times, of the two competing batteries are compared. Twenty batteries of each type are randomly sampled and tested. Both populations have normal distributions with unknown standard deviations.
a. H0:μ1≥μ2; Ha:μ1<μ2
b. H0:μ1≤−μ2; Ha:μ1>−μ2
c. H0:μ1≥−μ2; Ha:μ1<−μ2
d. H0:μ1=μ2; Ha:μ1≠μ2
e. H0:μ1≤μ2; Ha:μ1>μ2
Answer:
H0 : u1 = u2 ; H1 : u1 ≠ u2 , or specifically u1 > u2
Step-by-step explanation:
Null Hypothesis is the neutral hypothesis , stating no difference from assumed value, (or in this case no difference between both batteries' mean life)
Alternate Hypothesis is the special case hypothesis, stating difference from assumed value , (or in this case states difference between both batteries' mean life)
Let mean life of battery 1 & battery be b = u1 & u2 , respectively.
Null Hypothesis [ H0 ] : u1 = u2
Alternate Hypothesis [ H1 ] : u1 ≠ u2 , or specifically u1 > u2 { To determine if battery 1 lasts longer than battery 2 }
A block of wood is 2.5 feet long, 0.5 feet wide, and 0.25 feet tall. It weighs 16.5 pounds.
To the nearest pound, what is its density in pound per cubic feet?
Answer:
Density = 52.8 pound per cubic feet.
Step-by-step explanation:
Given the following data;
Length = 2.5 feet
Width = 0.5 feet
Height = 0.25 feet
Mass = 16.5 pound
To find the density of the wood;
First of all, we would determine the volume of the wood.
Volume = length * width * height
Volume = 2.5 * 0.5 * 0.25
Volume = 0.3125 cubic feet
Next, we find the density;
Mathematically, density is given by the formula;
Density = mass/volume
Substituting into the formula, we have;
Density = 16.5/0.3125
Density = 52.8 pound per cubic feet.
What is the first step in constructing an angle
Answer:
Step 1: Draw the arm PQ.
Step 2: Place the point of the compass at P and draw an arc that passes through Q.
Step 3: Place the point of the compass at Q and draw an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R.
Step-by-step explanation:
Step 1: Draw AB of any length. Step 2: Place the centre of the protractor at A and the zero edge along AB. Step 3: Start with zero near B. Mark point C at 40°.
Which symbol correctly compares the two angle measures?
I radians
30°
O
A.
B. <
C. >
Answer:
C. >
Step-by-step explanation:
y
B (7,-3)
C(6,-)
A (4,-9)
What is the y-coordinate of point C?
OA – 4
OB. –S
C. -6
D.-7
Answer:
c, -6
I hope this helps you
What is 7,300,000 written in scientific notation?
Answer:
7300000 in scientific notation can be written as 7.3 x 10^6
In this article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970s.
To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were:
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0(p1
In the hypothesis test about cannabis use by conservatives and liberals, the test statistic was z = -4.27, with a corresponding p-value of about 0.00001.
Which conclusion is most appropriate in the context of this situation?
Options :
Which conclusion is most appropriate in the context of this situation?
The data do not support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
The data support the claim that the proportion of conservatives who smoke cannabis is no different that the proportion for liberals.
The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
Answer:
The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
Step-by-step explanation:
Given the hypothesis :
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0
The test statistic = - 4.27
Pvalue = 0.00001
For making statistical decisions ;
Pvalue and α are very useful,
Decison boundary :
When Pvalue ≤ α ; We reject the Null (H0) otherwise, we fail to reject the Null.
However, based on the outcome of the statistical analysis,
The Pvalue < α ; Hence, we reject the Null and conclude that there is significant evidence support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
f(x) = 2x3 - 3x2 + 5
g(x) = 3x3 + 2x2 - 4x - 9
Find (f - g)(x).
O – x3 – 5x2 + 4x + 14
O – x3 – x2 - 4x - 4
O 5x3 – x2 - 4x - 4
O x3 + 5x2 - 4x – 14
Answer:
(f - g)(x) = -x³ -5x² + 4x + 14
Step-by-step explanation:
f(x) = 2x³ - 3x² + 5
g(x) = 3x³ + 2x² - 4x - 9 subtract
(f - g)(x) = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)
(f - g)(x) = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)
(f - g)(x) = (-1)x³ + (-5)x² + (4)x + (14)
(f - g)(x) = -x³ -5x² + 4x + 14
Which graph below shows a system of equations with one solution?
1 and 2
Answer: the Second one
Step-by-step explanation:
Hope this helps you
Can anyone help me out here !
I WILL GIVE BRAINLIEST IF YOU HELP
Find the area of the polygon below in square units.
Answer:
20 square units
Step-by-step explanation:
this polygon is a trapezoid
the formula to find the area is 1/2(b1+b2)h
If you were to rotate the image counterclockwise you would see that b1 = 6 untis and b 2 is 4 units and the height would be 4 units
when you plug that into the calculator you get
1/2(6+4)4 = 20 square units
Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
6. What percent of 24 is 12?
Answer plsss
Answer:
50%
Step-by-step explanation:
To find our answer will will first put it into an equation as [tex]\frac{100}{x}[/tex] × [tex]\frac{24}{12}[/tex]. Because we are cross multiplying we will multiply 100 by 12 and we get 1,200. Now because we are solving for x we will divide 1,200 by 24, which is 50%. Therefore, 50% is our answer.
the diagram shows a parallelogram. what is the value of x
Answer:
Step-by-step explanation:
what
Answer:
where is the diagram
Step-by-step explanation:
YO SOMEONE HELP MEEE
Answer:
x= -14
Step-by-step explanation:
Is the expression 3x+2 a binomial?
Yes, this is a polynomial, but a special form of a polynomial with just one term which is called a monomial .
Find the volume of the right cylinder in terms of pie.
[tex] \Large{\boxed{\sf V = 192\pi \: m^3}} [/tex]
[tex] \\ [/tex]
Explanation:The volume of a right cylinder can be calculated using the following formula:
[tex] \Large{\sf V = \pi \times r^2 \times h }[/tex]
Where:
V is the volume of the cylinder.r is the radius of the cylinder.h is its height.[tex] \\ [/tex]
[tex] \Large{\boxed{\sf Given \text{:} } \begin{cases} \sf r &=\sf 4 \: m \\ \sf h &=\sf 12 \: m \\ \end{cases} } [/tex]
[tex] \\ [/tex]
Substitute these values into our formula:
[tex] \sf V = \pi \times (4m)^2 \times 12m = \pi \times 16m^2 \times 12m \\ \\ \\ \implies \boxed{\boxed{\sf V = 192\pi \: m^3 }} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about the volume of a cylinder here:
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Qadir has $400.56 in his Friendly Debit card checking account. He uses the card to pay $450.50 to fix his furnace. Four days later, he deposits $150.00 into his checking account. How much money will Qadir have left in his account when the money is taken out to pay for the repair?
Answer:
$-69.94
Step-by-step explanation:
Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94
He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)
Total amount left in his account = $-49.94 - $20
Anita opened a savings account and deposited $600.00 as principal. The account earns 6% interest, compounded continuously. What is the balance after 1 year?
Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent. ( help please)
Answer:
$637.10
Step-by-step explanation:
Given:
P = 600
r = 6% or 0.06
t = 1
Work:
[tex]A=Pe^{rt}\\\\A=600e^{0.06*1}\\\\A=600e^{0.06}\\\\A=637.10[/tex]
help asap pls! (Apply PEMDAS if needed)
Answer:
10
Step-by-step explanation:
You just plug x into the expression and then you simplify:
30-2^2*x+12÷3
We know that x=6
30-(2^2)(6)+12/3
30-(4)(6)+4
30-24+4
10
Juliette won her 400m race in a time of 1:01.71. If she ran the 1500m at the same rate,
approximately how fast would she run the race?
Answer:
230.77 seconds or about 3.85 minutes (2 minutes 50.4 seconds)
Step-by-step explanation:
First I will convert the minutes into seconds to make this a little easier.
1:01.71 would just be 61.71 seconds
400/61.71 is her speed for the first race. (speed is distance/time)
That is approximately 6.5 meters per second
time is distance/speed
1500/6.5= 230.769...
I do not know what you need to round to, but Juliette would take 230.769 seconds to run the 1500 meter race.
Which statement describes the behavior of the function f(x)= 3x/4-x
Answer:
-3
Step-by-step explanation:
i sarched it up
Which of the following is an example of a sample that would NOT be random? A. Going through the list and choosing the first 25 names on the list. B. Writing each student’s name on a card and then drawing out 25 names without looking. C. Choosing one student at random from the list and going through the list and choosing every fifth student until she has 25 names. D. Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Plzzz help as soon as possible
What’s the correct answer??? I will mark as brainlest
There is a sequence of four Engineering classes that a student must pass to finish her major. Each class depends primarily on material learned in the previous class. Consider a student who will maintain good standing in these classes. An experienced advisor predicts that, if the student earns an A in one of these classes, she has probability .6 of an A in the next class in the sequence, .3 of a B, and .1 of a C. If the student earns a B in one of these classes, she has probability .25 of an A in the next class in the sequence, .55 of a B, and .20 of a C. If the student earns a C in one of these classes, she has probability .05 of an A in the next class in the sequence, .40 of a B, and .55 of a C. a) Write out the Markov transition matrix for how this student is expected to do in the next class in sequence after taking one of the classes. b) Find the probability that if a student earns a
Answer:
[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]
Step-by-step explanation:
using the given data in the question
a) The Markov transition matrix
[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]
Note : Column 1 = A, column 2 = B, Column 3 = C
Row 1 = A, Row 2 = B and ROW 3 = C
b) Question is incomplete