Answer:
C. 55 square centimetre
Step-by-step explanation:
Area of the triangle on the top= 1/2 * 2 * 3 cm^2
= 3 cm^2
Area of the rectangle in between= 8 * 2 cm^2
= 16 cm^2
Area of the parallelogram at the bottom
= 12 * 3 cm^2
= 36 cm^2
Therefore, Area of the figure
= (3+16+36) cm^3
= 55cm^2
Hope you got the answer ☺️
In base 2 (Binary system), which equation is false?
*(explain answer in detail)
a) 11+1=101
b) 1x10=10
c) 11x11=1001
d) 100/1=100
e) 1+1+1=11
Answer:
it is a
Step-by-step explanation:
because 11 +1 8n binary is qlways 100 bbecause 11 is in the 4th in the truth table of binary numbers and 100 is in the 5th so 11 + 1 = 4+1
100 = 5
pls mark it as the brainlyest answer
Answer:
It's a.
Step-by-step explanation:
11 binary = 2 + 1 = 3 in decimal.
So 11 + 1 = 3 + 1 = 4 in decimal.
and 4 in binary = 100 (2^2 + 0 + 0)
Consider the statements below. Which are propositions? Mark all that apply.
2+2=7
A giant spider with hairy legs.
There are more men than women at BYU-Idaho.
2+2=4
There are more women than men at BYU-Idaho.
Ron hates spiders.
Are you tired today?
The following statements are considered to be propositions:
2 + 2 = 7There are more men than women at BYU-Idaho.2 + 2 = 4Ron hates spiders.What is deductive reasoning?Deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions or from one or more premises (factual statements) that are assumed to be generally (universally) true.
What is a proposition?A proposition can be defined as a type of statement (assertion) that is typically used to express an opinion or a judgement, with either a true or false answer.
This ultimately implies that, a proposition refers to a type of statement (assertion) that is either a true or false.
In this context, we can infer and logically deduce that the following statements are considered to be propositions:
2 + 2 = 7There are more men than women at BYU-Idaho.2 + 2 = 4Ron hates spiders.Read more on propositions here: https://brainly.com/question/24158168
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please help me
is importe
What is 3 3/4 ft to yards as a mixed number?
The value of 3¾ft in yards would be = 1 6/25 yard
What is a mixed number?A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.
To convert to yards;
1 ft = 0.33 yard
3¾ = X yards
make x yards the subject of formula;
X yards = 3¾ × 0.33
X yards = 3.75×0.33
X yards = 1.24 yards
X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.
Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25
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What is the surface area of the image below I’ll give b brainliest
Answer:
50(5π + 6) cm²
Step-by-step explanation:
TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle
= 1/2 of 2πr(h+r) + 20*15
= πr(h+r) + 300
= 10π(15+10) + 300
= 250π + 300 cm²
or 50(5π + 6) cm²
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
What is the role of a computer programmer?
to add memory
to provide output
to review processes
to create algorithms
Answer: to create algorithms
Step-by-step explanation:
Urgenteee
Un tronco de madera de 3,080 kg de 1m de diametro
y 10m de largo, flota en el agua ¿Cuanto es el volumen de tronco
por arriba de la superficie del agua?
The volume of the log will be 30,70,760 m³.
What is Archimedes principle?Mathematically, we can write Archimedes principle as -
F{buoyant} = - fluid density {ρ} x acceleration due to gravity {g} x volume {v}
Given is that a 3080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water.
Since the log floats on water, the density of both the log and water is same.
So, we can write volume as -
Volume = 3080 x 997 Volume = 30,70,760 m³
Therefore, the volume of the log will be 30,70,760 m³.
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{QUESTION IN ENGLISH -urgent A 3,080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water. What is the volume of the trunk above the surface of the water?}
Which sentence can represent the inequality 2.4(6.2- x) >-4.5?
Answer: B. Two and four tenths multiplied by the difference of six and two tenths and a number is more than three negative four and five tenths
Explanation: I’m not sure. I will edit this if I get it wrong (I am currently taking the test that has this question).
Edit: B. is the correct answer. I got a hundred on my test.
Hope this helped! :)
Answer:
B)Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.
Step-by-step explanation:
I got it right on my test
The dinner bill for four people came to $108.60. If they plan to leave a 20% tip and split the bill equally, how much will each person pay?
Answer:
32.15
Step-by-step explanation:
Answer:
$32.58 per person
Step-by-step explanation:
hellllllllllllllllllllllllllpppppppppppppppppppppp worth 20 points
WILL MARK THE BRAINLIEST
Adam's poster is rolled in a cylindrical container that has a height of 21 inches and a diameter of 2. What is the volume of the cylinder to the nearest cubic inch?
Answer:
Step-by-step explanation:
65.97in
Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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AYO y'all can someone help wit this question urgent?
the amount in Maddies back account can be written ad a function of time. What is the equation for maddies bank account?!?
Answer:
I think this is right lol
Step-by-step explanation:
f(x)=49+x
Use Laplace transforms to solve the following initial value problems.
d2y + 4dy + 13y = u5(t) , y(0) = 0, y′(0) = 1. Find limt→[infinity]y(t). dt2 dt
The initial value problem's solution becomes closer to 0, the problem's limit, as time gets closer to infinity.
1. Determine both sides of the equation's Laplace transform: d2y + 4dy + 13y = u5(t) Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 (s)
2. Rewrite the equation to Y(s) = U5(s) / (s2 + 4s + 13) to find the value of Y(s).
3. Consider the reverse Finding y(t) using the Laplace transform on both sides
y(t) = (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t)
4. As t approaches infinity, determine the limit:
Laplace transformations are used to resolve the initial value issue d2y + 4dy + 13y = u5(t), where y(0) = 0 and y′(0) = 1. Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 is the result of first doing the Laplace transform of both sides of the equation (s). To find Y(s), we rewrite the equation as Y(s) = U5(s) / (s2 + 4s + 13). Then, to get y(t), we use the inverse Laplace transform of both sides: y(t) = (1/24)e(-2t) + (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t). Finally, when t approaches infinity, we compute the limit: limt[infinity]y(t) = 0. As a result, as time gets closer to infinity, the initial value problem's solution gets closer to 0.
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How many unit cubes fit in the figure below?7 units9 units5 units
step 1
Find the volume of the rectangular prism
V=L*W*H
substitute given values
V=5*9*7
V=315 unit3
therefore
the answer is 315 unit cubes option Abecause the volume of one unit cube is 1 unit3so315 unit cubes -----> volume is 315 unit3A tank is full of water. Find the work required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the density of water. Assume r = 6 m and h = 2 m.)
The work required to pump the water out of the spout is 70.9 * 10⁶ joules which is 71 M Joules approx.
Let the spherical tank be divided into a series of horizontal disks.
Let x be the height of each disk, g = gravity and p = density
Volume of each disk = πr2dx
Where r is the radius of each disk and dx is the thickness
By Pythagoras r² = 6² - x²= 36 -x²
Therefore Volume = π*(36-x²)*dx cubic metres
The distance each disk has to be lifted to escape the top of the spout = 2 + 6-x meters = (8-x)
Work needed to lift each disk to outlet = distance * mass where
mass = volume * density * gravity
= pi(36-x²)*p*g = 9800pi(36-x²)dx
dW = (8-x)* 9800pi(36-x²)dx
Since we have already accounted for the height of the spout, the work required is obtained by integrating the above expression from the bottom of the tank to the top. In other words, - 6 to + 6.
W = ⌠(8-x)*9800pi(36-x2)dx = 9800pi⌠[288 - 36x - 8x² +x³]dx
The odd terms evaluate to zero and we can rewrite the above as 2* I from 0 to 6.
W = 9800pi*2 [288x - 8x³/3] at x = 6 = 1152*19600π Joules = 22579200π joules = 70963200j
Total work required = 70.9 * 10⁶ joules
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Isabel went to the grocery store. She spent $15.91 on vegetables and $11.22 on fruit. She also bought some bread. If she paid with 3 ten dollar bills and got 45 cents back in change, how much did she spend on bread?
Based on an equation, the amount that Isabel spent on bread was $2.42.
How the equation was solved?To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.
An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
The amount Isabel spent on vegetables = $15.91
The amount she spent on fruits = $11.22
Let the amount she spent on bread = x
The total amount she went with = $30 (3 x $10)
The change she got after giving the cashier $30 = $0.45
The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)
x = $2.42 ($29.55 - $15.91 - $11.22)
Check:
Vegetables = $15.91
Fruits = $11.22
Bread = $2.42
Total expenses = $29.55
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●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
Eduardo is painting a rectangular wall that is 96 inches high and 110 inches long. What is the area of the wall?
Here the height and length are the sides of the rectangular wall and we have to find the area.
Area of rectangle is given by:
\( = l \times b\)
where l is the length and b is the breadth/width according to the question. Plugging the given values:
\( = 110 \times 96 \: {inch}^{2} \)
\( = 10560 \: {inch}^{2} \)
Hence:-The area of the wall is 10560 inch²
The Monday relates to the Thursday so than, the Friday relation the ….? A: Tuesday B : Saturday C : Sunday D: Monday E:
Wednesday
Answer:
The correct answer is B: Saturday.
The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.
At a real estate agency, an agent sold a house for $341,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Therefore , the solution of the given problem of amount comes out to be the agent received $3,069 in commission.
What is an amount?aggregate attempting to determine the time, overall cost, or amount. The amount in front of us or on our minds is incredibly hectic. the outcome, its significance, or its applicability. The sum consists of principal, tax, and third bookkeeping. Some of the word variations are amounts, amounts, and amounting. a versatile term Its amount refers to the amount that something weighs, how often you consume it.
Here,
The real estate company has a 4.5% commission rate,
which means they get paid 4.5% of the house's sale price:
=> 4.5% of $341,000 divided by the agency's commission results in
=> $15,345 ($0.045 x $341,000).
Hence, the residence brought in $15,345 for the real estate company.
We must determine the commission received by the real estate agency in order to determine how much the agent earned. 20% of the commission paid to the real estate agency goes towards the agent's commission rate.
Since we already know that the real estate firm was paid a commission of $15,345; the agent's commission is:
=> 20% of $15,345 divided by the agent's commission
=> 0.2 times $15,345 = ($3,069).
As a result, the agent received $3,069 in commission.
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Please help! will give brainlest! Answer correctly!
Q1: For triangle ABC use the Triangle Proportionality Theorem to solve for x. Show all of your work for full credit.
Q2: What is the perimeter of triangle ABC? Show all of your work for full credit.
The value of x in the triangle is 17 .
The perimeter of the triangle ABC is 86 units.
How to use triangle proportionality theorem to find side of a triangle?Triangle Proportionality Theorem states that If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.
Therefore, let's use the theorem to find the value of x in the triangle.
Hence,
20 / 4 = 2x - 4 / 6
cross multiply
120 = 4(2x - 4)
120 = 8x - 16
120 + 16 = 8x
136 = 8x
divide both sides by 8
x = 136 / 8
x = 17
Hence, let's find the perimeter of the triangle ABC.
perimeter of the triangle ABC = 24 + 26 + 2(17) - 4 + 6
perimeter of the triangle ABC = 50 + 30 + 6
perimeter of the triangle ABC = 86 units
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15 3/4 2 5/8 please help
Answer:
41 11/32
Step-by-step explanation:
. Suppose X ∼ Unif(−1, 3). Find the probabilities of the following events, both by hand calculation and with R’s punif function. (a) (X ≤ 2) (b) (X ≥ 1) (c) (−0.5 < X < 1.5) (d) (X = 0)
Answer:
a) \( P(X \leq 2) = \frac{2+1}{3+1}= 0.75\)
b) \( P(X \geq 1) = 1- P(X <1) =1-\frac{1+1}{3+1}= 1-0.5=0.5\)
c) \(P(-0.5 <X <1.5)= P(X<1.5)- P(X<-0.5)= \frac{1.5+1}{4} -\frac{-0.5+1}{4}=0.625-0.125= 0.5\)
d) \( f(x) = \frac{1}{3+1}= 0.25\)
Step-by-step explanation:
Let X the random variable of interest and we know that the distribution is given by:
\(X \sim Unif (a= -1, b=3)\)
And for this problem we can use the cumulative distribution function in order to solve the items:
\( F(x) =\frac{x-a}{b-a}, a\leq x \leq b\)
Part a
We want to find this probability:
\( P(X \leq 2) = \frac{2+1}{3+1}= 0.75\)
Part b
\( P(X \geq 1) = 1- P(X <1) =1-\frac{1+1}{3+1}= 1-0.5=0.5\)
Part c
\(P(-0.5 <X <1.5)\)
And we can calculate the probability with this difference:
\(P(-0.5 <X <1.5)= P(X<1.5)- P(X<-0.5)= \frac{1.5+1}{4} -\frac{-0.5+1}{4}=0.625-0.125= 0.5\)
Part d
Since we have a continuous distribution the the probability for an unique value would be:
\( f(x) = \frac{1}{3+1}= 0.25\)
A crew of highway workers paved1/4 mile in1//6 a hour. If they work at the same rate, how much will they pave in one hour?
Answer:
1 1/2 mile
Step-by-step explanation:
In 1 hour they pave 6 times more what they paved in 1/6 of an hour.
6 * 1/4 mile = 6/4 mile = 3/2 mile = 1 1/2 mile
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 .
How many of each color ballon will be in each bouquest
plz answer this
Answer:
15
Step-by-step explanation:
Suppose you are the manager of Speedy Oil Change which claims that it will change the oil in customers’ cars in less than 30 minutes on average. Further suppose that several complaints have been filed from customers stating that their oil change took longer than 30 minutes. Upper-level management at Speedy Oil Change headquarters has requested that you investigate the complaints. To begin your investigation, you randomly audit 36 oil changes performed by Speedy Oil Change and record the time each customer waited for the oil change. The number of minutes to complete each of the 36 oil changes is reported below.
Suppose you are the manager of Speedy Oil Change which claims that it will change the oil in customers’ cars in less than 30 minutes on average. Further suppose that several complaints have been filed from customers stating that their oil change took longer than 30 minutes. Upper-level management at Speedy Oil Change headquarters has requested that you investigate the complaints. To begin your investigation, you randomly audit 36 oil changes performed by Speedy Oil Change and record the time each customer waited for the oil change. The number of minutes to complete each of the 36 oil changes is reported below.
42
29
19
11
10
27
41
27
22
26
28
32
17
15
25
35
31
22
13
31
17
37
33
25
18
24
28
21
40
19
33
30
14
23
22
10
1. Write the null and alternative hypothesis. Label each accordingly.
2. Calculate the Test Statistic and the P-value. Label each accordingly, and report the P-value to 4 decimal places.
3. Using the P-value calculated in #2, explain why you would or would not reject the null hypothesis? Answer using a complete sentence, proper grammar and correct spelling. Do NOT write a conclusion.
4. Based on your answer to #3, write a final conclusion for the test of hypotheses, and explain if the company is fulfilling its promise to “change the oil in customers’ cars in less than 30 minutes on average?” Answer using a complete sentence, proper grammar and correct spelling.
Answer:
Explained below.
Step-by-step explanation:
(1)
The hypothesis can be defined as follows:
H₀: The Speedy Oil Change will change the oil in customers’ cars in more than 30 minutes on average, i.e. μ > 30.
Hₐ: The Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average, i.e. μ ≤ 30.
(2)
Use Excel to compute the sample mean and standard deviation as follows:
\(\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683\)
Compute the test statistic as follows:
\(t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51\)
The degrees of freedom is:
df = n - 1
= 36 - 1
= 35
Compute the p-value as follows:
\(p-value=P(t_{35}<3.51)=0.0006\)
(3)
The p-value = 0.0006 is very small.
The null hypothesis will be rejected at any of the commonly used significance level.
(4)
There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average.
Using the t-distribution, we have that:
1.
The null hypothesis is \(H_0: \mu \geq 30\)
The alternative hypothesis is \(H_1: \mu < 30\)
2. The test statistic is t = 3.51.
3. The p-value is of 0.0063.
4. Since the p-value is of less than the standard significance level of 0.05, we reject the null hypothesis, and can conclude that the company is fulfilling its promise.
Item 1:
At the null hypothesis, we test if the mean is of at least 30 minutes, that is:
\(H_0: \mu \geq 30\)
At the alternative hypothesis, we test if the mean is of less than 30, that is:
\(H_1: \mu < 30\)
Item 2:
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean. \(\mu\) is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem:
\(\mu = 30, n = 36\)Using a calculator, \(\overline{x} = 24.92, s = 8.68\)The test statistic is:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{24.92 - 30}{\frac{8.68}{\sqrt{36}}}\)
[tx]t = 3.51\)
The test statistic is t = 3.51.
Item 3:
The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with t = 3.51 and 36 - 1 = 35 df.
Using a calculator, this p-value is of 0.0063.
Item 4:
Since the p-value is of less than the standard significance level of 0.05, we reject the null hypothesis, and can conclude that the company is fulfilling its promise.
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