The mean of the distribution that follows the uniform probability distribution is 29.5 minutes.
What is the mean?The mean is the average or the most common value in a data set of numbers.
Since the distribution follows the uniform probability distribution, which is a type of probability distribution that gives all outcomes equal chances, it implies that the set of 18 values between 21 and 38 can result in a total value of 531 minutes.
Data and Calculations:The total value between 21 and 38 minutes = 531 minutes
The total number of values = 18
The average or mean = 29.5 (531/18)
Thus, the mean of the distribution that follows the uniform probability distribution is 29.5 minutes.
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Write a compound inequality that represents the given graph:
OA.x < -2 and x ≥ 4
OB.x < -2 or x ≥4
OC.-2
OD.-2≥x>4
Answer: the correct answer is choice A
Step-by-step explanation:
This is because the inequality symbols are pointed the correct way. The symbols are also showing the correct answers with the greater than or equal to sign is on the correct point value. You find the place for the equal to or greater/less than symbol by the open or closed circle point. An open circle means the number is not included in the answer while a closed circle is included in the answer.
I am not able to solve this question
Answer:
C
Step-by-step explanation:
join my stream for an explanation
(ChildofHermes)
please mark brainliest
im only streaming for 15 more hours
Answer:
Choice C
Step-by-step explanation:
2654^0 and 5^0
Which is greater?
There's a law of exponents for solving this type of question.
The law states that,
x^0 = 1Same case here.
2654^01And,
5^0 1Hence, they are same.
2654⁰ = 5⁰
Solve the Percent Discount Application.
The local grocery store has just marked down a patio set by 20%. If the patio set costs $79.90, what is the discounted price?
$63.92
$94.80
$15.80
$70.00
The formula for the perimeter of a rectangle is P = 2 (1+w).
The equation of L is L = 0.5P - W
How to solve for L?The formula is given as:
P = 2(L + W)
Divide through by 2
0.5P = L + W
Subtract W from both sides
L = 0.5P - W
Hence, the equation of L is L = 0.5P - W
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Complete question
The formula for the perimeter of a rectangle is P=2(l+w). Solve for l.
How do you Calculate the mean,median and mode in grouped data.
Answer:
The mean:
data: 3,6,9,10
You first add all of the numbers together.
3+6+9+10= 28
There 4 numbers in the data set, so you divide 4 by the sum of all of the numbers.
28/4= 7
So the mean is 7.
The median:
data: 3,6,9,10
first put all of the numbers in numerical order.
3,6,9,10
Then you find the middle number in the data set.
3,6,(the middle number here),9,10
to find the middle number, do the mean of 6 and 9
The mean of 6 and 9 is 7.5
So, 7.5 is the median
another example: 3,4,7,9,13
The middle number is 7
so 7 is the median
The mode:
data: 3,6,9,10
The mode is the number that is repeated the most
in this data, there is no mode.
but in this data: 4,4,6,9,11
4 is the mode because it was repeated the most
What is the value of cos(Tan^-1 1)?
a. 2
b.square root 2
c. 2 square root 2
d. square root 2 over 2
Answer:
D
Step-by-step explanation:
So you have the equation: [tex]cos(tan^-1(1))[/tex]. So let's work in order and focus on the [tex]tan^-1(1)[/tex] part first. The inverse of tan is essentially taking in the value of [tex]tan(\theta)[/tex] and returning [tex]\theta[/tex]. And the value of [tex]tan(\theta)[/tex] can be defined as [tex]\frac{sin(\theta)}{cos(\theta)}[/tex]. So if you look at the unit circle, you'll need to look for two values that are exactly the same. You'll notice when the angle is 45 degrees, the value of sine, and cosine are the exact same. They're both [tex]\frac{\sqrt2}{2}[/tex]. So the inverse of tan(1 degree) = 45 degrees. Now we can literally refer to the same point, because when finding the cosine of 45 degrees, we can just use the x-value. This gives a solution of [tex]\frac{\sqrt2}{2}[/tex]
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R.
4.9
4.7
2.5
2.3
Answer:
4.7
Explanation:
A point is positioned at minus two, seven. At one, zero, you'll find point R. Determine the value of Y. Regarding point Q. That is 2/3 of the distance between points P. So, negative two becomes positive seven. So, we have minus twenty-seven and 1 common zero. So, if we place a line between these, we must calculate the distance. First, you should be aware that you may achieve this using the distance formula. I prefer to conceive of it as the Pythagorean Theorem. So, the distance is 3^2 and 7^2, which is D^2. So, 9+49=58. And, we'll take the square root of it. As a result, the square root of 58=D. And, you want to be 2/3 the distance between points P and B. So, divide this by 2/3. So, this is close to 5.1. But, you want to get the Y value; found the distance, 2/3 of the way. When the distance is 5.1 instead of round 7.6, we've arrived at point P. We want to be 5. 1 yard away on this line. This is point P and we want to be at point Q. Since it'll have the same slope. As a result, the slope will be 7/3. So, it'll be proportionate 7. Since the square root of fifty-eight is too large. Route 58/3 is the destination. The square root of 258 is canceled. Such that 7=3y/2. 7x2=14/3=4.7. It's by locating comparable figures.
Triangle ABC has side lengths:
AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm
ΔABC ≅ ΔHJK
What is the length of side HJ?
The length of HJ is 3.5 cm
What is Congruency?Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.
Given:
AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm
As, ΔABC ≅ ΔHJK
So,
AB = HJ
BC = JK
AC = HK
Thus, HJ= AB = 3.5 cm
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You enter a room. 2 dogs, 4 horses, one giraffe, and a duck are laying on a bed. 3 chicken are flying over a chair. How many legs are on the ground?.
Answer:
4 legs from the bed and 4 from the chair im guessing since not all have 4
Step-by-step explanation:
.
Answer:
36 legs
Step-by-step explanation:
30 mi / h = ____ ft / min
a.
2640
c.
880
b.
264
d.
2112
Answer:
its a 2640 trust me
Step-by-step explanation:
Use the law of cosines to find the value of cos0. Round your answer to two decimal places.
A.0.22
B.0.84
C.0.35
D.-1.04
Using the law of cosines on the given triangle, we see that; cosθ = 0.22
How to use the law of cosines?The law of cosines is expressed as;
c² = a² + b² - 2ab cos C
Now, in this case the angle is θ and employing this law of cosines gives us;
10.2² = 5.7² + 9.8² - 2(5.7 * 9.8)*cosθ
104.04 = 32.49 + 96.04 - 111.72 * cosθ
104.04 = 128.53 - 111.72 * cosθ
(128.53 - 104.04)/111.72 = cosθ
cosθ = 0.22
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look at the image.......
Answer: 70.9 miles per hour
Step-by-step explanation:
The total distance traveled is 1188 miles (66313- 65125).
Since this was over 16.75, you'll want to divide 1188 by 16.75.
1188/16.75 = 70.9253731
And then round that off to 70.9
What is the solution set for
O s-4 and x-16
O s--4 and s-4
Os--8 and s-8
Ox--16 and x-16
||-8₂
Answer:
4th option
Step-by-step explanation:
the absolute value function always gives a positive result, however, the expression inside can be positive or negative, that is
[tex]\frac{x}{2}[/tex] = 8 or - [tex]\frac{x}{2}[/tex] = 8
solving each equation
[tex]\frac{x}{2}[/tex] = 8 ( multiply both sides by 2 to clear the fraction )
x = 2 × 8 = 16
or
- [tex]\frac{x}{2}[/tex] = 8 ( multiply both sides by 2 )
- x = 16 ( multiply both sides by - 1 )
x = - 16
then x = - 16 , x = 16
Can you divide 2 by 9? Explain your response.
Answer:
0.22222222222
Step-by-step explanation:
To divide two by nine, you need to use your long division skills. Unfortunately, this interface doesn't lend itself well to showing you the actual long division problem, so try to follow the steps with me.
draw a division symbol (should look like half a rectangle). Put the 9 in front of the rectangle and a 2 inside it. Make the top of the rectangle long.
Note that the result of the division 2÷9 is not an exact value and is equivalent to recurring decimal 0.22... (which has 2 as the period).
A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defective. What is the probability that the first two electric toothbrushes sold are defective
The probability that the first two electric toothbrushes sold are defective is 0.016.
The probability of an event, say E occurring is:
[tex]P(E)=\frac{n(E)}{N}[/tex]
Here,
n (E) = favorable outcomes
N = total number of outcomes
Let X = the number of defective electric toothbrushes sold.
The number of electric toothbrushes that were delivered to a store is n = 20.
The number of defective electric toothbrushes is x = 3.
The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:
[tex](\left {{20} \atop {2}} \right. )[/tex][tex]=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!} =\frac{20*19*18!}{2!*18!} = 190[/tex]
The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:
[tex](\left {{3} \atop {2}} \right. )[/tex][tex]=\frac{3!}{2!(3-2)!} =\frac{3!}{2!1!} =\frac{3*2!}{1!2!} =3[/tex]
Compute the probability that the first two electric toothbrushes sold are defective as follows:
P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes
[tex]\frac{3}{190}\\ =0.01579\\=0.016[/tex]
Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.
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The diagram shows the intersections of several straight roads. The avenues run parallel to each other.
First Avenue and Second Avenue are parallel. Oak goes through both streets at point A and B. Main goes diagonally down through both streets and intersects with Oak Street. The distance from First to Second on Main is 280 feet. The distance from Second to the intersection of Oak is 140 feet. The distance from Point B to the intersection of Main is 113 feet.
Amana walks along Oak from point A to B. To the nearest foot, how far does she walk?
75 ft
226 ft
307 ft
347 ft
By applying the property of similar triangles, the distance Amana from point A to B walked is: B. 226 ft.
How to determine the distance?By critically observing the diagram (see attachment), we can deduce that two (2) similar triangles were formed by the First Ave. and Second Ave.
By applying the property of similar triangles, the distance Amana walked is given by:
(AB + 113)/113 = (280 + 140)/140
(AB + 113)/113 = 420/140
(AB + 113)/113 = 3
AB + 113 = 3 × 113
AB + 113 = 339
AB = 339 - 113
AB = 226 ft.
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Answer: B. 226 ft.
Step-by-step explanation: Trust Me! I got it correct on Edge.
Help pls asap
If sine < 0 and tans > 0 then:
OA. 180° << 270°
OB. 0° <9< 90°
C. 270° << 360°
OD. 90° << 180°
Answer:
The answer is C. 270° < ∅ < 360°
Step-by-step explanation:
Given information:
sine < 0 and tans > 0.
Quadrant where sine < 0 is either III or IV.
Quadrant where tans > 0 is either I or III.
It is Quadrant III that has both sines < 0 and tans > 0.
what is the slope of y=5/4x-7/4?
Answer:
5/4 or 1.25
Step-by-step explanation:
y=mx+b is the form of all linear equations
m is the slope
here m = 5/4 so the slope is 5/4 or 1.25
What are the solutions to the quadratic equation 2x + x = 3? - 1,2/-/- 1,3/- 1, -/-/- -1, - -/-/- (A) (B) (C) (D)
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Assuming equation:}[/tex]
[tex]\mathbf{2x + x = 3}[/tex]
[tex]\huge\textbf{Solving for the equation:}[/tex]
[tex]\mathbf{2x + x = 3}[/tex]
[tex]\mathbf{2x + 1x = 3}[/tex]
[tex]\huge\textbf{Combine the like terms:}[/tex]
[tex]\mathbf{(2x + 1x) = 3}[/tex]
[tex]\mathbf{(2x + x) = 3}[/tex]
[tex]\mathbf{2x + x = 3}[/tex]
[tex]\mathbf{3x = 3}[/tex]
[tex]\huge\textbf{Divide 3 to both sides:}[/tex]
[tex]\mathbf{\dfrac{3x}{3} = \dfrac{3}{3}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{x = \dfrac{3}{3}}[/tex]
[tex]\mathbf{x = 3\div3}[/tex]
[tex]\mathbf{x = 1}[/tex]
[tex]\huge\textbf{Answer:}[/tex]
[tex]\huge\boxed{\mathsf{x = 1}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Translation: (x,y)→(x+7,y+5) Coordinates: Y(−5,−4), X(−5,−1), W(−2,0), V(−2,−5)
Answer:
Y - (2,1)
X - (2,4)
W - 5,5)
V - (5,0)
Step-by-step explanation:
Translation: (x,y) → (x+7,y+5)
Coordinates:
Y(−5,−4) => (-5 + 7, -4 + 5) => (2,1)
X(−5,−1) => (-5 + 7, -1 + 5) = > (2,4)
W(−2,0) => (-2 + 7, 0 + 5) => (5,5)
V(−2,−5) => (-2 + 7, -5 + 5) => (5,0)
There were three parts to Rita's race. She ran the first part, which was 4/9
of the total distance, in 20 minutes. She ran the second part, which was 2/5
of the remaining distance, in 12 minutes. She finally ran the third part in 15 minutes at a speed of 300 meter per minute.
How long was the second part of the race? What was Rita's speed in that section of the race?
The second part of Rita's race is about 1800 meters at a speed of 150 meters per minute.
Speedlet
distance covered in first Part = d1distance covered in second Part = d2distance covered in third Part = d3speed covered in first Part = s1speed covered in second Part = s2speed covered in third Part = s3Distance in second Part:
d₃ = 15 x 300
= 4500 m
d₂ = 2/5 × d₃
= 2/5 x 4500
d₂ = 1800 meters
Speed in second part:
S₂ = 1800 m / 12 min
S₂ = 150 meters per minute
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Which equation represents a line that passes through the two points in the
table?
x^3 - y^3 = 218 where x and y are positive integers. Find x+y
The value of x + y is 12
How to solve for x + y?The equation is given as:
x^3 - y^3 = 218
Make x^3 the subject
x^3 = 218 + y^3
The next cubic expression greater than 218 is 343.
So, we assume
x^3 = 343
This gives
x = 7
Substitute x^3 = 343 in x^3 = 218 + y^3
343 = 218 + y^3
Evaluate the like terms
y^3 = 125
This gives
y = 5
So, we have:
x + y = 7 + 5
Evaluate
x + y = 12
Hence, the value of x + y is 12
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graph the inequality y > |x - 4| + 3
Answer: As graphed below.
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The Box-and-Whisker Plot shown displays the number of text messages sent during the previous week. What is the fewest reported number of text messages sent?
A. 82
B. 62
C. 74
D. 90
The fewest reported number of text messages sent, given the data is 62 (Option B)
Data obtained from the questionData = 62, 74, 82, 90, 99Fewest number = ?How to determine the fewest numberThe fewest number in a given data is simply defined as the smallest number in the data.
Considering the data given from the question, we can see that the smallest number in the data is 62
Thus, 62 is the fewest number in the data.
Therefore, the correct answer to the question is 62 (Option B)
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Complete question
The Box-and-Whisker Plot shown displays the number of text messages sent during the previous week. What is the fewest reported number of text messages sent? 62, 74, 82, 90, 99
A. 82
B. 62
C. 74
D. 90
Prove that
cos^4∆ - sin^4∆ = 2cos^2∆ - 1
[tex]\cos^{4} x-\sin^{4} x\\\\=(\cos^{2} x+\sin^{2} x)(\cos^{2} x-\sin^{2} x)\\\\=\cos^{2} x-\sin^{2} x\\\\=\cos^{2} x-(1-\cos^{2} x)\\\\=2\cos^{2} x-1[/tex]
pls help me asap
Find the mean and standard deviation for the set of data.
{17, 20, 4, 15, 12, 6, 14, 13, 16}
Answer:
Standard deviation = 5.1
Mean = 13
Median = 14
Step-by-step explanation:
The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
The mean of a set of numbers is the sum divided by the number of terms.
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
On his way to and home from work, John can ride his bike at a constant speed of 16 mph. If he lives 60 miles away from work, how much time does he spend commuting to, and returning from, work each day
Answer:
7.5 hours
Step-by-step explanation:
16 mph = 16 miles per hour
how much time does he spend commuting to, and returning from, work each day = 60(2) = 120 miles
120/16
= 7.5 hrs
What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5
x minus 3.x – 3?
The slope of the line represented by the given equation is 0.8
Slope of a lineFrom the question, we are to determine the slope of the line represented by the given equation
The given equation is
[tex]y = \frac{4}{5} x-3[/tex]
The slope-intercept form of the equation of a line is given as
y = mx + c
Where m is the slope or gradient
and c is the y-intercept
By comparing with the given equation,
m = 4/5
m = 0.8
Hence, the slope of the line represented by the given equation is 0.8
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You plan to conduct a survey to estimate the percentage of adults who have had chickenpox. Find the number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults.
The number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults is 1691.
The true proportion of the population is not given, so we assume it to be 0.5, that is, p = 0.5.
Hence, q = 1 - p = 1 - 0.5 = 0.5.
Confidence level given = 90%.
Z-Score corresponding to 90% confidence interval (Z) = 1.645.
We are asked to find the sample size (n) when we want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults, that is, standard error (E) = 2% = 0.02.
By the formula of standard error, we know:
E = Z√[{p(1 - p)}/n].
Substituting the values, we get
0.02 = 1.645√[{0.5*0.5}/n]
or, 0.0004 = 2.706025*0.25/n
or, n = 2.706025*0.25/0.0004 = 1691.265625 ≈ 1691 {Since the sample size has to be a whole number}.
Thus, the number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults is 1691.
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