Answer:
$68.96
Step-by-step explanation:
See the attached image.
find the value of the variables, giving brief reasons for your answer:
Answer:
a = 70°
b = 80°
Step-by-step explanation:
Angles on a straight line add up to 180°
⇒ a + 110 = 180
⇒ a = 180 - 110
⇒ a = 70°
The sum of the interior angles of a quadrilateral is 360°
⇒ a + b + 130 + 80 = 360
⇒ 70 + b + 130 + 80 = 360
⇒ b + 280 = 360
⇒ b = 360 - 280
⇒ b = 80°
What's the Lateral Surface Area?
What's the Surface area
Answer:
The lateral surface of an object is all of the sides of the object , except/excluding its base and top.
I think I am correct I might sure I read it somewhere
by this explanation I guess you know your answer
have a nice day
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Determine the slope of the line that contains the given points.
T(5, 6), V(8, 8)
a.
0
b.
c.
d.
Answer:
slope = 2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
a) 74.56870% 74.56870% b) 74.30203% 74.30203% c) 75.20203% 75.20203% d) 74.95203% 74.95203% e) 74.70203%
The correct option e) 94.29%, for the probability that among the next 166 responses there will be at most 43 correct answers.
Explain the term Normal approximation?The normal curve is roughly followed by the sample distribution of averages and proportions from numerous independent experiments. The population value that corresponds to a sampling distribution or average is its expectation.If we use a normal distribution to simulate any binomial distribution with p = 0.24 for n = 166 results, then:
There should be 43 correct responses, or
μ = np = 166*0.24
μ = np = 34.86
The number of accurate responses has a standard deviation of
σ = √(np(1-p))
σ = √(34.86*0.76)
σ = 5.14
43 correct responses have a z-value;
z = (x - μ)/σ
z = (43 - 34.86)/5.14
z = 1.58
The likelihood that 43 accurate responses are provided is:
N(1.58) = 0.9429
Thus, the probability that among the next 166 responses there will be at most 43 correct answers is 94.29%.
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The complete question is-
Use the normal distribution to approximate the desired probability. A certain question on a test is answered correctly by 24.0 percent of the respondents. Estimate the probability that among the next 166 responses there will be at most 43 correct answers.
a) 74.56870% b) 74.30203% c) 75.20203% d) 94.95% e) 94.29%
Mr. and Mrs. Howard hope to send their son to college in thirteen years. How much money should they Invest now at an Interest rate of 8% per year,
compounded continuously, in order to be able to contribute $7500 to his education?
Do not round any Intermediate computations, and round your answer to the nearest cent.
$0
I need help fast asap
The amount that Mr. and Mrs. Howard should invest to be able to send their son to college in 13 years is $ 2, 650. 93 .
How to find the amount to invest ?A simple way to find the amount that Mr. and Mrs. Howard need to invest when using continuous compounding is :
Amount needed in future = Amount needed to be invested x Continuously compounded factor, 13 years, 8 %
Amount needed in future = $ 7, 500
Continuously compounded factor, 13 years, 8 % = 2. 8292
The amount to be invested is :
Amount needed in future = Amount needed to be invested x Continuously compounded factor, 13 years, 8 %
7, 500 = Amount x 2. 8292
Amount = 7, 500 / 2. 8292
Amount = $ 2, 650. 93
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Help please is these to table proportional or not table 1 and table 2 I’ll mark brainliest please guys
Answer:
1. 1 burger takes 4 minutes
2. 1 painting takes 4 days
Step-by-step explanation:
A piece of twine 6 yards long costs $2.88. What is the price per foot?
Solution:
Note that:
1 yard = 3 foot6 yards = $2.88First, let's convert the yards into feet.
6 yards = 6 x 3 feet = $2.88=> 18 feet = $2.88Now, divide 18 both sides to find the cost of 1 foot.
=> 18 feet/18 = $2.88/18=> 1 foot = $0.16The price of the twine per foot is $0.16.
What is the cost of the twine per foot?The first step is to convert yards to foot: 1 yard = 3 foot
In order to convert yards to foot, multiply 6 by 3: 6 x 3 = 18 foot
The price per foot can be determined by dividing $2.88 by 18 foot
$2.88 / 18 = $0.16
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In the figure, a∥b and m∠3 = 34°.
What is the m∠7?
Enter your answer in the box. |__|
Therefore, In the figure, a∥b angle m∠7 = 34° .
What is angle ?An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.
Here,
Given that a and b are parallel lines,
∠3 and ∠7 are corresponding angles and congruent
m∠3 = 34°
thus ,m∠7 =m∠3 = 34°
so, m∠7 = 34°
Therefore, In the figure, a∥b m∠7 = 34° .
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What is the first x-value when the y-value of equation 2 is higher than the y-value of equation 1? Equation 1: f(x)= 2x^3 + 24x + 2 Equation 2: f(x)= 4^x
The first x-value when the y-value of equation 2 is higher than the y-value of equation 1 will be less than - 0.044.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The equation of the functions is given below.
Equation 1: f(x) = 2x³ + 24x + 2
Equation 2: f(x) = 4ˣ
The graph of the functions is given below.
From the graph, the intersection of the graph is at (-0.044, 0.9407).
The first x-value when the y-value of equation 2 is higher than the y-value of equation 1 will be less than - 0.044.
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HELP PLEASEEEEE!!!!!!
If that answer doesn't work, then try 29 without the percent sign.
============================================================
Explanation:
We know with absolute certainty that the person ordered a hot drink, due to the "given".
This means we only focus on the values in the first row.
There are 5+48+22 = 75 hot drinks ordered. Of that total, 22 hot drinks are large.
The probability of getting a large drink, given it was a hot beverage, is 22/75 = 0.2933 approximately.
This converts to 29.33% and that rounds to 29%
Identify the coefficient and exponent of these very large and very small numbers represented in scientific notation. Identify how each number would be represented in scientific notation. 5,890,000 = a × 10b a = b = 0.0000521 = c × 10d c = d =
Answer:
a is 5.89
b is 6
c is 5.21
d is -5
Step-by-step explanation:
the original numbers are 5,890,000 and 0.0000521 you have to place the decimal point so that there is only one number between 1 and 9 before the decimal so for the first equation that would end up being 5.89, and to get there you have to move the decimal point 6 places to the right, so the exponent on the 10 would be 6, and the second equation would be 5.21 and for this one you have to move the decimal point 5 units to the left so it would end up being -5/.
Answer:
a- [5.89]
b- [6]
c- [5.21]
d- [-5]
Step-by-step explanation:
PLEASE MARK BRAINLIEST
I NEED IT FOR A NEW RANK<3
A large petroleum storage tank is 100ft in diameter. The free surface is really a very small part of a sphere with radius 4000mi (the radius of the earth). If one drew an absolutely straight line from the liquid surface at one side of the tank to the liquid surface directly across the diameter on the other side, how deep into the fluid would that line go?
The depth to which the straight line would go into the fluid of the large petroleum storage tank is approximately 0.0147ft (or 0.177 inches). This is calculated based on the volume of the spherical segment that corresponds to the tank's diameter.
To determine this depth, we can calculate the segment of the sphere that corresponds to the tank's diameter. The height of this segment represents the depth of the fluid.
Using the formula for the volume of a spherical segment, we find that the volume is proportional to the square of the radius multiplied by the depth. By rearranging the formula, we can solve for the depth:
The volume of the segment = \((\pi/6) \times h \times (3r^2 + h^2)\)
Given the radius of the sphere (4000 mi) and the diameter of the tank (100ft), we convert the measurements to consistent units. The radius becomes 4000*5280ft, and the diameter becomes 100ft.
Substituting these values into the equation, we can solve for the depth. The result is approximately 0.0147ft or 0.177 inches.
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1. Lennox is in NYC and has $10 to get to his destination. The taxi charges $0.75 per mile with
a flat fee of $2.35. How many miles can he travel
Answer:
(10-2.35)/.75 =10.2 miles.
Step-by-step explanation:
How many weeks are in 784 days?
Answer:
112 weeks
Step-by-step explanation:
784/7=112
Answer:
112 weeks............
Assume that each year the IRS randomly audits 30% of the tax returns. If a married couple has filed separate returns, answer the following questions. (a) What is the probability that both the husband and the wife will be audited? (b) What is the probability that only one of thern will be audited? (c). What is the probabkity that neither one of them will be audited? (d) What is the probability that at least one of them will be audited?
The problem entails calculating the probability for a scenario in which the IRS audits 30% of tax returns at random and a married pair has filed separate returns. Calculate the chances of both husband and wife being audited, just one of them being audited, neither of them being audited, and at least one of them being audited.
a) Probability that both the husband and the wife will be audited: (0.3)² = 0.09 or 9%
b) Probability that only one of them will be audited:
Probability of the husband being audited and the wife not being audited: (0.3)(0.7) = 0.21 or 21%Probability of the wife being audited and the husband not being audited: (0.7)(0.3) = 0.21 or 21%The probability that only one of them will be audited is the sum of the two probabilities which equals 0.42 or 42%.c) Probability that neither one of them will be audited: (0.7)² = 0.49 or 49%
d) Probability that at least one of them will be audited: This is the complement of the probability that neither one of them will be audited. So, the probability that at least one of them will be audited is 1 - 0.49 = 0.51 or 51%.
The relevant terms in this question are probability and statistics. To solve for the probability of each scenario, we used the formulas for independent probabilities and complements.
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what is the percent change of 44000 to 40000
Answer:
10 percent
Step-by-step explanation:
40000 is the old value and 44000 is the new value. In this case we have a positive change (increase) of 10 percent because the new value is greater than the old value.
Bert found =of an apple pie in the refrigerator. He shared " of the pie with
his friends. How much of the apple pie was left?
Bert incorrectly calculated how much of the apple pie was left. Which step contains the first error?
The amount of the apple pie that was left will be 3/4.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
From the information, Bert found 2 1/2 of an apple pie in the refrigerator. He shared 1 3/4 of the pie with his friends.
The amount of the apple pie that was left will be:
= 2 1/2 - 1 3/4
= 3/4
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Complete question
Bert found 2 1/2 of an apple pie in the refrigerator. He shared 1 3/4 of the pie with his friends. How much of the apple pie was left?
Which number line shows the solution of -4x + 6 > 18
Answer:
A
Step-by-step explanation:
If you do algebra to isolate the variable you find that every number less than -3 satisfies the equation.
Answer: it’s A
Step-by-step explanation:
The endpoints of EF
are E(1,3) and F(-2,8).
Find EF.
Answer:
EF = \(\sqrt{34}\) ≈ 5.83
Step-by-step explanation:
Calculate EF using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)
EF = \(\sqrt{(-2-1)^2+(8-3)^2}\)
= \(\sqrt{(-3)^2+5^2}\)
= \(\sqrt{9+25}\)
= \(\sqrt{34}\) ≈ 5.83 ( to 2 dec. places )
juan pablo drove home from college traveling an average speed of 59.6 mph and drove back to the college the following week at an average speed of 67.2 mph. if the total round trip took 10 hours, how much time did it take juan pablo to drive from home back to college? express the time in hours and minutes. round to the nearest minute.
Let's denote the time it took Juan Pablo to drive from home to college as "t1" and the time it took him to drive back from college to home as "t2". We know that the average speed is equal to the total distance divided by the time taken.
The distance from home to college is the same as the distance from college to home, so we can denote it as "d". Using the formula: Speed = Distance / Time, we can write the equations: 59.6 = d / t1 (Equation 1) 67.2 = d / t2 (Equation 2) We are also given that the total round trip took 10 hours, so we have the equation: t1 + t2 = 10 (Equation 3) To solve these equations, we can rearrange Equation 1 and Equation 2 to solve for "d" in terms of "t1" and "t2": d = 59.6 * t1 (Equation 4) d = 67.2 * t2 (Equation 5) Now, substituting Equation 4 and Equation 5 into Equation 3, we get: 59.6 * t1 + 67.2 * t2 = 10 Solving this equation will give us the values of t1 and t2. However, we need additional information to find a unique solution for t1 and t2.
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m= -(4+ m) + 2
m=
what’s m?
Answer:
m = -1
Step-by-step explanation:
m= -(4+ m) + 2
Distribute
m = -4-m+2
m = -2-m
Add m to each side
m+m = -2-m+m
2m = -2
2m/2 = -2/2
m = -1
Find the area of the figure.
(Sides meet at right angles.)
Answer:
20 cm²
Step-by-step explanation:
L=2+3 =5cm
w= 4cm
area= 5×4
= 20cm²
Answer:
14
Step-by-step explanation:
4 x 2 = 8
3 x 2 = 6
8 + 6 = 14
after being nominated for an mtv music award, the probability of winning is 25%. if ariana grande has been nominated for five awards, what is the chance that she will win at least one award? how many awards should she expect to win? what is the standard deviation associated with this probability?
The probability of winning at least one award is 1 - 0.2373 = 0.7627 or 76.27%.
If the probability of winning an MTV music award after being nominated is 25%, the probability of not winning is 75%. Thus, the probability of not winning any of the five awards is (0.75)^5 = 0.2373.
As for how many awards Ariana Grande should expect to win, we can use the expected value formula: E(x) = n * p, where n is the number of trials (in this case, 5) and p is the probability of success (0.25). Therefore, E(x) = 5 * 0.25 = 1.25. So, Ariana Grande can expect to win about 1 award.
Finally, to calculate the standard deviation associated with this probability, we can use the formula: σ = sqrt(n * p * (1-p)). Plugging in the values, we get σ = sqrt(5 * 0.25 * 0.75) = 0.866. Therefore, the standard deviation associated with this probability is approximately 0.866.
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I need help on #17-22
Help-
Answer:
see below
Step-by-step explanation:
17.
1/(-(-1/5))=1/(1/5)=5
apply point
-2=5(-2)+n
-2=-10+n
n=8
y=5x+8
18.
1/(-(2))=1/(-2)=-1/2
apply point
-1=-1/2(4)+n
-1=-2+n
n=1
y=-1/2x+1
19.
1/(-(3/4))=1/(-3/4)=-4/3
apply point
5=4/3(-3)+n
5=-4+n
n=9
y=-4/3x+9
20.
convert
x-4y=20
-4y=-x+20
y=1/4x-5
1/(-(1/4))=1/(-1/4)=-4
apply point
-5=-4(2)+n
-5=-8+n
n=3
y=-4x+3
21.
convert
5x-6y=18
-6y=-5x+18
y=5/6x-3
1/(-(5/6))=1/(-5/6)=-6/5
apply point
7=-6/5(10)+n
7=-12+n
n=19
y=-6/5x+19
22.
convert
6x+3y=-9
3y=-6x-9
y=-2x-3
1/(-(-2))=1/2
apply point
2=1/2(-2)+n
2=-1+n
n=3
y=1/2x+3
Find Y. Round to the nearest tenth.
Answer:
Step-by-step explanation:
The Law of Cosines applying here is c^2 = a^2 + b^2 - 2ab*cos C.
Here c = 8 ft, b = 16 ft and a = 17 ft. Plugging these values into the above equation yields
8^2 = 17^2 + 16^2 - 2(17)(16)cos A, or
64 = 289 + 256 - 544*cos A, or
-481 = -544*cos A
Dividing both sides by -544 yields: cos A = 0.884
Using the inverse cosine function on a calculator, we get A = Y = 0.486 radians, or 27.8 degrees
Write an equation of the line with a slope of −7 and y-intercept of 1.
Answer:
y=-7x+1
Step-by-step explanation:
The slope-intercept equation is y=mx+b. Where m= the slope and b= the y-intercept. So just plug in the information you know for the answer, y=-7x+1.
A net of a rectangular prism is shown.
A net of a rectangular prism with dimensions 4 and one-half centimeters by 3 centimeters by 8 and one-half centimeters.
What is the surface area of the prism?
The surface area of the prism is 96 cm²
What is surface area ?Surface area is the sum of the areas of all the faces (or surfaces) of a three-dimensional object.
The length and width of the rectangular face are 4.5 cm and 3 cm, respectively, so the area is:
4.5 cm x 3 cm = 13.5 cm²
Since there are two rectangular faces on the prism, the total area for the pair is:
= 2 x 13.5 cm²
= 27 cm²
Similarly for the another face
3 cm x 3 cm = 9 cm²
Since there are two square faces on the prism, the total area for the pair is:
= 2 x 9 cm²
= 18 cm²
The area of one of the rectangular faces that is not congruent to the first two:
= 8.5 cm x 3 cm
= 25.5 cm²
Since there are two rectangular faces that are not congruent to the first two, the total area for the pair is:
= 2 x 25.5 cm²
= 51 cm²
Now we can find the total surface area by adding the area of each pair of faces:
= 27 cm² + 18 cm² + 51 cm²
= 96 cm²
Therefore, the surface area of the rectangular prism is 96 square centimeters.
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50 POINTS !!!!!!!!
Which terms can be combined in the expression below? Select three options.
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answer:
-2b, b/12, -0.9b
Step-by-step explanation:
I understand this is late, but hopefully, it'll help someone who needs it, have a good day
Answer:
A Is your answer.
Step-by-step explanation:
24-79/12-2
Suppose bob's exam score was at the 80th percentile on an exam whose mean was 90. what was bob's exam score?
The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%
What is the formula that gives the exam score from the percentile?The Z-Score of the 80th percentile is 0.8416
The formula for Z-Score is presented as follows;
\(z = \frac{x - \mu}{ \sigma} \)
Where;
\( \sigma = The \: standard \: deviation\)
\( \mu = The \: mean = 90\%\)
x = The given score
Taking the mean as a proportion, we have;
\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)
Which gives;
\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)
Therefore, when z = 0.8416, gives;
\(0.8416 = \frac{x - 0.9}{ 0.03} \)
x = 0.8416 × 0.03 + 0.9 ≈ 0.925
Therefore;
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Consider the following current information for Galaxy Inc::
Output = 200 units
ATC = $50
What is the total cost of producing 200 units of output?
a. $10,000
b. $8,000
c. $1,100
d. Non
The answer is (a) $10,000.
How the total cost of producing 200 units of output can be found?The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:
Total Cost = Output x ATC
Total Cost = 200 x $50
Total Cost = $10,000
Therefore, the answer is (a) $10,000.
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