Answer:
Jane is correct
Step-by-step explanation:
100 divide by 3 is 33.333 recurring
100 divided by 8 is 12.5
for 1-2 use the following inequality:
3x-4< 8
which of the following represents the solution set?
a. x ≥ 4
b. x > 4
c.x ≤ 4
d. x < 4
Answer:
D
Step-by-step explanation:
3x - 4 < 8
Add 4:
3x - 4 + 4 < 8 + 4
3x < 12
Divide by 3:
3x / 3 < 12 / 3
x < 4
Answer:
D. x<4
Step-by-step explanation:
3x-4<8
3x<8+4
3x<12
x<4
Hope this helps ;) ❤❤❤
4.) To find the distance between (17, 3) and (17, −5), Marcia used the following equation. Is Marcia correct? Explain. WILL MARK BRAINLIEST FOR RIGHT ANSWER '
D = | 3 − (−5) | = 8
a.) Marcia is not correct. Since the points are in two-dimensions, the distance formula must be used to find the distance.
b.)Marcia is correct. For any pair of points, the distance between the points can be treated as if they are in one-dimension.
c.)Marcia is correct. Since the x-coordinates are the same, the distance between the points can be treated as if they are in one-dimension.
d.)Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=√8
Answer:
C
Step-by-step explanation:
3-(-5=8
3+5=8
They are on the same x axis so all you have to do is add 3 and 5 together.
Answer:
c) Marcia is correct. Since the x-coordinates are the same, the distance between the points can be treated as if they are in one-dimension.
Step-by-step explanation:
a) Marcia is not correct. Since the points are in two-dimensions, the distance formula must be used to find the distance.
No, in this case x-coordinates are same and this can be treated same as number lineb) Marcia is correct. For any pair of points, the distance between the points can be treated as if they are in one-dimension.
No, it is not the case for any pair of pointsc) Marcia is correct. Since the x-coordinates are the same, the distance between the points can be treated as if they are in one-dimension.
Yes, in this case x-coordinates are same (17)d) Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=√8
No, formula is correct but the answer is incorrectFind the equation of the line with slope – 3 and that contains the point (-2,-6). Write the equation in the form y = mx +b and
identify m and b.
Answer:
m = -3
b = 0
equation of line
y = -3x
Step-by-step explanation:
in the the equation in the form y = mx +b
m is the slope
b is the y intercept.
__________________________________________________
given slope = -3
thus,
m = -3
the required equation of line is
y = mx +b
put m = -3
y = -3x + b
to find b , we put x = -2, y = -6 as this equation contains point (-2,-6).
-6 = -3*-2 + b
=> -6 = -6 + b
=> b = -6 + 6 = 0
thus. m = -3
b = 0
equation of line
y = -3x
(6,-1) and y = – 1/3x+ 1
y = 3x + [?]
Answer:
- 19
Step-by-step explanation:
Let's consider the equation as ;
y = 3x + c
( 6, -1 ) satisfies the equation ;
-1 = 3( 6) + c
c = - 18 - 1
c = -19
So the slope - intercept is (- 19)
The slant height of a cone is 8.45cm
and the diameter of the base is 14cm.
Calculate, three significant figures, the
curved surface area of the cone (Take
= 22÷7
[tex]\bf \underline{ \underline{Given : }}[/tex]
Slant height,l = 8.45 cmDiameter of base = 14 cm[tex]\bf \underline{ \underline{To \: be \: calculated : }}[/tex]
Calculate the curved surface area of the cone .
[tex]\bf \underline{ \underline{Formula \: applied : }}[/tex]
Curved surface area of cone = πrl
[tex]\bf \underline{ \underline{Solution : }}[/tex]
First of all,
Radius = Diameter/2
=> Radius,r = 14/2
=> Radius,r = 7 cm
Now,
[tex] \sf{Curved \: surface \: area \: of \: cone =\pi rl}[/tex]
[tex] \sf \: \implies \: \dfrac{22}{ \cancel7} \times \cancel7 \times 8.45[/tex]
[tex] \sf\implies22 \times 8.45[/tex]
[tex] \sf \implies 185.9 \: {cm}^{2} [/tex]
Hence,the Curved surface area of cone is 185.9 cm².
Simplify. Explanation if you can.
Answer:
10
Step-by-step explanation:
This expression uses the idea of exponential edition. The basis is, when you have the same base number being multiplied, you can add the exponentials.
Consider the case of 2 * 2. We know this to be 4. When writing 2 * 2, you can write this as 2^1 * 2^1 == 2^(1+1) == 2^2 == 4. See how we added the powers to get the new exponential?
We will apply this same idea here.
10^(1/2) * 10^(1/2) == 10^(1/2 + 1/2) == 10^(1) == 10.
So, the simplified expression is 10.
Cheers.
Fast Food and Gas Stations Forty percent of all Americans who travel by car look for gas stations and food outlets that are close to or visible from the highway. Suppose a random sample of n = 25 Americans who travel by car are asked how they determine where to stop for food and gas. Let x be the number in the sample who respond that they look for gas stations and food outlets that are close to or visible from the highway.
a. What are the mean and variance of x?
b. Calculate the interval p-±2a. What values of the binomial random variable x fall into this interval?
c. Find P(6 ≤ x ≤ 14). How does this compare with the fraction in the interval WO for any distribution? For mound-shaped distributions?
Answer:
a
mean [tex]\mu = 10[/tex] variance [tex]\sigma^2 = 6[/tex]
b
The binomial random variable x fall into this interval ranges from
- 5 to 5
c
[tex]P(6 \le x \le 14) = 0.8969[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 25[/tex]
The percentage that look for gas stations and food outlets that are close to or visible from the highway is [tex]p = 0.40[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n * p[/tex]
=> [tex]\mu = 0.40 * 25[/tex]
=> [tex]\mu = 10[/tex]
The variance is mathematically represented as
[tex]\sigma^2 = np(1- p )[/tex]
=> [tex]\sigma^2 = 25 * 0.40(1- 0.40 )[/tex]
=> [tex]\sigma^2 = 6[/tex]
The standard deviation is mathematically evaluated as
[tex]\sigma = \sqrt{\sigma^2}[/tex]
[tex]\sigma = \sqrt{6}[/tex]
[tex]\sigma = 2.45[/tex]
The interval is evaluated as
[tex]p\pm 2 \sigma[/tex]
=> [tex]p - 2 \sigma\ \ \ , \ \ \ p + 2\sigma[/tex]
=> [tex]0.40 - 2 *2.45\ \ \ , \ \ \ 0.40 + 2* 2.45[/tex]
=> [tex]-4.5\ \ \ , \ \ \ 5.3[/tex]
The binomial random variable x fall into this interval ranges from
- 5 to 5
Generally
[tex]P(6 \le x \le 14) = P(\frac{ x - \mu }{\sigma } \le \frac{14 - 10}{{2.45}} ]-P[ \frac{ x - \mu }{\sigma } \le \frac{6 - 10}{2.45 } ][/tex]
[tex]P(6 \le x \le 14) = P(Z \le 1.63 ]-P[ Z \le -1.63 ][/tex]
[tex]P(6 \le x \le 14) = [1- P(Z > 1.63 ]] -[1- P[ Z > -1.63 ]][/tex]
From the z-table
[tex]P(Z > 1.63 ) = 0.051551[/tex]
And
[tex]P(Z >- 1.63 ) =0.94845[/tex]
=> [tex]P(6 \le x \le 14) = [1-0.051551] -[1-0.94845][/tex]
=> [tex]P(6 \le x \le 14) = 0.8969[/tex]
List the next three numbers for the sequence:
27, 41, 55, 69, ...
Answer:
83, 97, 111 i think that is what you are asking
Answer:
83, 97,111
Step-by-step explanation:
What is the equation of the line that passes through the point (-6, -8) and has an
undefined slope?
Answer: x=-6
Step-by-step explanation:
Undefined slopes are vertical lines, so there's no y variable in the equation. so you look at the point (-6, -8) and take out the y, which is negative eight. So your answer is negative six.
The equation of the line that passes through the point (-6, -8) and has an undefined slope will be y + 8 = m (x + 6).
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Then the equation of the line that passes through the point (-6, -8) and has an undefined slope will be
y + 8 = m (x + 6)
The equation of the line that passes through the point (-6, -8) and has an undefined slope will be y + 8 = m (x + 6).
More about the linear equation link is given below.
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Need help solving please.
Answer:
25/36
Step-by-step explanation:
Solved in steps:
- 2/9 - ( -11/12) =- 2/9 + 11/12 = - 2*4/9*4 + 11*3/12*3 =-8/36 + 33/36 = 25/36Simplest fraction is 25/36
A car is going 8 meters per second on an access road into a highway
and then accelerates at 1.8 meters per second squared for 7.2
seconds. How fast is it then going?
Answer:
20.96 m/s is the final speed.
Step-by-step explanation:
Given that:
Initial speed of the car = 8 m/s
Acceleration of the car = 1.8 m/[tex]s ^{2}[/tex]
Time for which the car accelerates = 7.2 seconds
To find:
The speed of car after accelerating for 7.2 seconds at an acceleration of 1.8 m/[tex]s ^{2}[/tex] = ?
Solution:
First of all, let us have a look the formula given for the final velocity of an object with given initial speed, acceleration and time:
[tex]v=u+at[/tex]
Where [tex]v[/tex] is the final speed of object
[tex]u[/tex] is the initial speed of an object
[tex]a[/tex] is the acceleration of object and
[tex]t[/tex] is the time
Here, [tex]u = 8\ m/s[/tex]
[tex]a = 1.8\ m/s^{2}[/tex] and
[tex]t = 7.2\ seconds[/tex]
To find:
[tex]v = ?[/tex]
Let us put all the given values in the formula:
[tex]v =8+1.8 \times 7.2\\\Rightarrow v =8+12.96\\\Rightarrow \bold{v =20.96\ m/s}[/tex]
So, the answer is:
20.96 m/s is the final speed.
What is the value of X in the given triangle?
==================================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(x) = 5/12
x = arccos(5/12)
x = 65.375681647836 which is approximate
x = 65.4 after rounding to one decimal place
Make sure your calculator is in degree mode. The arccosine function is the same as the inverse cosine function (shortened to [tex]\cos^{-1}[/tex] ).
help!!! 10 points! <33
Answer:
B and C
Step-by-step explanation:
1/5 prefer apple juice
T = prefer orange juice
9/20 prefer apple or oranger juice
First, we can subtract 1/5 from 9/20 to get 1/4 (simplified)
Equation = 9/20 - 4/20 = 5/20 = 1/4
Plug it in:
A. 9/20 + 1/4 =1/5 (Incorrect)
B. 1/5 + 1/4 = 9/20 (Correct
C. 1/4 + 1/5 = 9/20 (Correct)
D. 1/4 - 1/5 = 9/20 (Incorrect)
Answer:
1/5 + t = 9/20
t + 1/5 = 9/20
Step-by-step explanation:
1/5 are apple + unknown for orange = apple + orange
1/5 + unknown = 9/20
Let t = unknown
1/5 + t = 9/20
order doesn't matter on the left side since we are adding
t+1/5 = 9/20
9 - 8x - 7 - 2x equals 4 solve for x
Answer:
x = -1/2
Step-by-step explanation:
Step 1: Write out equation
9 - 8x - 8 - 2x = 4
Step 2: Combine like terms (x)
9 - 10x - 8 = 4
Step 3: Combine like terms (constants)
-10x - 1 = 4
Step 4: Add 1 to both sides
-10x = 5
Step 5: Divide both sides by -10
x = -5/10
Step 6: Simplify
x = -1/2
A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?
Answer:
16 mi
Step-by-step explanation:
To find how many miles you could travel with one gallon, you want to multiply both sides of the equation by 64. This will make '1/64' to 1, so the answer should be 1/4 * 64 = 16.
2/3x-2=5/6x
A: The solution set is (_) Simplified
B: There is no solution
Pick one and if A then simplify the answer
Answer:
x = - 12
Step-by-step explanation:
2 5
--- x - 2 = --- x
3 6
2x 5
--- - 2 = ------ x
3 3 * 2
(2x) - 3 * 2 5x
---------------- = --------
3 2 * 3
x = - 12
You find yourself stuck in a traffic jam. It is not rush hour. You feel frustrated and wonder what is holding up traffic Which of the following are plausible hypotheses for explaining the problem?
Check all that apply.
a) It is Friday the 13th, and you think that because this is considered a day for bad luck, that must be why there is a traffic jam. ?
b) You were in a hurry this morning, and you forgot to bring your lucky rabbit's foot with you. That's why you are now stuck in traffic.
c) There is an accident ahead, which often causes traffic to slow.
d) There is a sale at the mall near an exit up ahead, and everyone on the road is going to the sale
e) Road repairs are being made today, and you didn't know about it.
Answer:
There is an accident ahead, which often causes traffic to slow.
Step-by-step explanation:
Looking at the question closely, we understand that the traffic jam occurred at a time that is not generally regarded as a rush hour.
A traffic jam due to road repair is not really an option because roads are closed during repairs. Shop malls announce their special sales days ahead of time so that many people will hear about it.
However, it is likely that an accident occurred. An road accident may suddenly occur on an otherwise less busy road. This often leads to an unusual delay in traffic irrespective of the hour of the day when it occurs.
5(x – 2y)
2x+y
when x = 4 and y= -3
Answer:
50
Step-by-step explanation:
first you plug in 4 for x and -3 for y. then you solve
Answer: 50 and 5, respectively
Step-by-step explanation:
For this problem, we are given x and y. With the x and y value given, all we have to do is to plug them into the expressions and solve.
5(x-2y) [plug in x=4 and y=-3]
5((4)-2(-3)) [combine like terms by using order of operations]
5(4+6)
5(10)=50
-----------------------------------------------------------------------------------------------------------
2x+y [plug in x=4 and y=-3]
2(4)+(-3) [combine like terms by using order of operations]
8-3=5
Now that we have plugged in x=4 and y=-3 into the two expressions, we get 50 for the first expression and 5 for the second equation.
is -17 rational or irrational?
-17 is a rational number
What is a rational number?A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Rational numbers have finite or recurring decimal expansions. Irrational numbers are numbers that can not be expressed as the ratio or fraction of two integers. Irrational numbers have non-terminating and non-repeating decimal expansions.
Whereby -17 can be expressed as the value -17/1, based on the definition of a rational number, -17 is a rational number
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Please help me with this
Answer:8^20
Step-by-step explanation:
I just say 10x2=20 lol
Answer:
[tex]8^{20}[/tex]
Step-by-step explanation:
8^10*2
8^20
PLS HELP The diagram was constructed with straightedge and compass tools. Points A, B, C,
D. and E are all on line segment CD. Name a line segment that is half the length of
CD. Explain how you know.
Answer:
lines CD, AE, and BD are half the length of CD
Step-by-step explanation:
All circles will have the same radius "r"
then CD = 4r
½CD = 2r
CB = AE = BD = 2r
The line CD has two circles which are equidistant from the points C and D and both meet at point B.
Point B is the midpoint of Line CD dividing line CD into two equal halves.
The line segments AE , CB and BD are line segments that are half of the length of line CD.
CB and BD form the diameters of the circles.
A diameter is a line that divides the circle into 2 equal halves. It passes through the center of the circle and joins one end point to another.
A radius is the distance from the circumference to the center of the circle.
A diameter is made up of two radius.
In the figure two equal diameters divide the line segment into two equal parts.
The third circle has the diameter AE which has radius AB and AE which are also the radius of the other two circles.
Hence the three circle are equal .
Hence the line segments AE , CB and BD are line segments that are half of the length of line CD.
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Question 8 options: Solve for the value of X. 23X = 6
Answer:
divide both sides by 23
making it to be 0.26
The value of x from the equation 23x =6 is x= 6/23.
To solve for the value of x in the equation 23x = 6, we need to isolate x on one side of the equation.
Divide both sides of the equation by 23:
(23x) / 23 = 6 / 23
Simplifying:
x = 6 / 23
Therefore, the value of x is 6 divided by 23, which can be left as a fraction or decimal depending on the desired form.
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Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y = ln x, y = 3, y = 5. x = 0 Find the volume V of this solid. V = ____ Sketch the region, the solid, and a typical disk or washer. (Do this on paper. Your instructor may ask you to turn in this work.)
Answer:
volume = 33965.39
Step-by-step explanation:
Attached below is a detailed solution of the problem and the required sketch
volume of this solid is calculated integrating about the axis of : 5,3
Y = In x = x = e^y
the shaded region in the sketch represent the region where the rotating takes place.
2. Two researchers make a test concerning the levels of marital satisfaction among military
families. Researcher A collects a sample of 22 married couples (n = 22); Researcher B
collects a sample of 40 married couples (n = 40). All other things being equal, which
researcher has more power to detect an effect? Explain.
Answer:
Researcher B
Step-by-step explanation:
Power of statistics is the probability that a test will correctly reject a false null hypothesis.
This probability is more accurate with greater sample size as it is better representation of the population.
Therefore researcher B has more power to detect an effect since he has nearly twice sample size (40 vs 22)
What is 12 5/13 as an improper fraction
Answer: 161/13
Step-by-step explanation: 1. Multiply the denominator by The number
2. add the answer from step one to the numerator
3. Write the answer from step 2 over the denominator
A water wheel has a radius of 4 feet and the bottom of the wheel is 1 foot from the ground. One plank is painted white and it starts at the top of the wheel. The wheel is rolled forward through an angle of pi over 3 radians. How high from the ground is the white plank after this motion?
Answer:
The height of the plank after the π/3 rotation motion is 8.464 ft
Step-by-step explanation:
The radius of the wheel = 4 ft
The elevation of the bottom of the wheel from the bottom = 1 foot
The angle to which the wheel is rolled = π/3 radians
The height of a rotating wheel is given by the following relation
f(t) = A·sin(B·t + C) + D
Where;
D = Mid line = 4 + 1 = 5 feet
B·t = π/3
C = 0
A = The amplitude = 4
Which gives;
f(t) = 4×sin(π/3) + 5 = 8.464 ft
The height of the plank after the π/3 rotation motion = 8.464 ft.
Answer:7 ft
Step-by-step explanation:
C
A five-question quiz is taken in which the first and second questions have four answer choices, the third and fourth questions have three answer choices, and the last question has five answer choices. If a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly?
Answer:
1.37
Step-by-step explanation:
The student can give only 0.139 % answer correctly.
The first and second questions have four answer choices,
Probability of first and second question answer correctly is,
[tex]P_{1}=\frac{1}{4}*\frac{1}{4} =\frac{1}{16}[/tex]
The third and fourth questions have three answer choices,
Probability of third and fourth question answer correctly is,
[tex]P_{2}=\frac{1}{3} *\frac{1}{3}=\frac{1}{9}[/tex]
The last question has five answer choices.
Probability of fifth question answer correctly is,
[tex]P_{3}=\frac{1}{5}[/tex]
The probability of corrected answer is,
[tex]P=P_{1}*P_{2}*P_{3}\\\\P=\frac{1}{16} *\frac{1}{9}*\frac{1}{5}=\frac{1}{720}[/tex] = 0.139 %
Hence, The student can give only 0.139 % answer correctly.
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Given the following group of numbers (8, 12, 4, 8, 6, 0, 9, 11, 3, 10) which of the following is (are) true? The mean is 7.1 The median is 1.6 The mode is 0
Answer:
The mean is 7.1
The median IS NOT 1.6 (its 8)
The mode IS NOT 0 (its 8)
Step-by-step explanation:
The true statement is , The mean is 7.1.
What is mean, median, mode?The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
The median is the middle value when a data set is ordered from least to greatest.
The mode is the number that occurs most often in a data set.
here, we have,
given data, group of numbers (8, 12, 4, 8, 6, 0, 9, 11, 3, 10)
now, we get,
The mean is 7.1.
The median IS NOT 1.6 (its 8)
The mode IS NOT 0 (its 8).
hence, The true statement is , The mean is 7.1.
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If point Q is translated 5 units to the right an 5 units down , what are the coordinates of Q?
Answer:
Q has coordinates (qx+5, qy-5)
Step-by-step explanation:
Q has coordinates (qx, qy)
we move 5 units to the right so add 5 to the value of x
Q has coordinates (qx+5, qy)
we move 5 units down so subtract 5 from the value of y
Q has coordinates (qx+5, qy-5)
Which list shows numbers ordered from least to greatest?
A. 1.01,2119,1.01¯¯¯¯
B. 2119,1.01,1.01¯¯¯¯
C. 1.01,1.01¯¯¯¯,2119
D. 1.01¯¯¯¯,1.01,2119
Answer:
C. 1.01,1.01¯¯¯¯,2119
Step-by-step explanation:
1.01,1.01¯¯¯¯,2119
Is arranged from the least number to the greatest number.
It shows the numbers with decimals, and it showed the number with Dec again.
Then gave a space in between then the highest number in the least follows
So option c is the answer