Answer:
a) 70b) n-1Step-by-step explanation:
Mean is defined as the sum total of data divided by the total number of data.
[tex]\overline x = \frac{\sum Xi}{N}[/tex]
Xi are individual data
N is the total number of data = 5
Given the mean of the pulse rate = 65.4
a) Let the 5pulse rates be our data as shown: 57, 55, 62, 83 and y where y is the missing value. According to the formula:
[tex]65.4 = \frac{57+55+62+83+y}{5}[/tex]
[tex]65.4 = \frac{257+y}{5}\\ 257+y = 65.4*5\\257+y = 327\\y = 327-257\\y = 70[/tex]
The missing value is 70
b) Since the total list of numbers is n values with a specific known mean, if some of this values can be freely selected, the number of n values that can be freely assigned before the remaining values are determined is any values less than n i.e n-1 values.
From the formula for calculating mean:
[tex]\overline x = \frac{\sum Xi}{N}\\{\sum Xi} = N\overline x[/tex]
This shows that the sum of all the values is equal to the product of the total values and the mean value. Since we can freely choose n-1 values, then sum of the set of data can be written as [tex]\sum \sumx^{n-1} _i__=_1 Xi[/tex]
[tex]\sum \sumx^{n-1} _i__=_1 Xi \ =\ N \overline x[/tex]
The number of n values which is referred to the degree of freedom is n-1
Find the quotient. 2x − 3 x ÷ 7 x2 A. 7 x(2x − 3) B. 7x 2x − 3 C. 2x − 3 7x D. x(2x − 3) 7
Answer:
D. x(2x − 3)/ 7
Step-by-step explanation:
[tex]To- divide- by -a -fraction, multiply- by -its -reciprocal.\\\frac{2x-3}{x} *\frac{x^{2} }{7} \\Cancel- the- common -factor -of x\\(2x-3)\frac{x}{7}\\ Apply- the- distributive- property.\\2x\frac{x}{7} -3\frac{x}{7}\\ Multiply ; 2x\frac{x}{7}\\ \frac{2x^2}{7} -3\frac{x}{7}\\ Combine -3- and; \frac{x}{7} \\\frac{2x^2}{7} + \frac{-3x}{7}\\ Move- the- negative- in- front -of -the- fraction.\\\frac{2x^2}{7} - \frac{3x}{7} \\Simplify- terms.\\ x\frac{(2x-3)}{7}\\[/tex]
Answer:
8x
Step-by-step explanation:
HELP ME PLS I DO NOT UNDERSTAND A random number generator is used to create a real number between 0 and 1, equally likely to fall anywhere in this interval of values. (For the instance, 0.3794259832... is a possible outcome). a. Sketch a curve of the probability distribution of this random variable, which is the continuous version of the uniform distribution. b. What is the mean of this probability distribution?
f(x)=1, 0 < x < 1 is the probability density function of the random variable x.
generally, it is f(x)=1/(b-a) a < x < b;
where b=1 and a=0.
b) mean = integral (0 to 1) xdx = (0 to 1) = 1/2
c)integral( 0.35 to 0.6) dx =x (between 0.35 and 0.6) = 0.6-0.35=0.25
d) integral(less than 0.82)dx = x (between 0 and 0.81) = 0.81 - 0 = 0.81
Please mark me brainliest!
How many arrangements of the letters in the word olive can you make if each arrangement must use three letters
Answer:
60
Step-by-step explanation:
There are 5 letters that can be first.
There are 4 letters that can be second.
There are 3 letters that can be third.
The number of permutations is 5×4×3 = 60.
A quality control inspector has drawn a sample of 14 light bulbs from a recent production lot. If the number of defective bulbs is 1 or less, the lot passes inspection. Suppose 20% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection
Answer:
0.1979 or 19.79%
Step-by-step explanation:
If 20% of all bulbs are defective, there is a 20% chance of each bulb being defective and an 80% chance of each bulb not being defective.
This is a binomial probability model with probability of success (bulb being defective) of p=0.20.
In order for the lot to pass inspection, it must contain either zero or one defective bulb, the probability of one of these scenarios occurring is:
[tex]Pass= P(d=0)+P(d=1)\\Pass= 0.80^{14}+14*0.20*0.80^{13}\\Pass=0.1979[/tex]
The probability that the lot will pass inspection is 0.1979 or 19.79%.
Which are the possible side lengths of a triangle?
O 3 cm, 5 cm, 9 cm
O 4 cm, 8 cm, 10 cm
O 6 cm, 9 cm, 17 cm
O 8 cm, 10 cm, 18 cm
Answer:
4 cm, 8 cm, 10 cm
Step-by-step explanation:
For a triangle to exist, two sides added up must be greater than the third side. The only quantities that satisfy this relationship is the second option.
please help meh on dis question ty
Answer:
C only
Step-by-step explanation:
To find the answer(s) for x, first we need to calculate the absolute value of each number. ( the brackets indicate absolute value)
A:
# -4 absolute value: 4
Greater than or less than 5: less ✘ incorrect
B:
# 3 absolute value: 3
Greater than or less than 5: less ✘ incorrect
C:
# 9 absolute value: 9
Greater than or less than 5: greater ✔ correct
Thus, the correct answer is C
if segment ac and segment bc are tangent to circle o find the value of x
Answer:
x = 150°
Step-by-step explanation:
Start by cutting the shape into two triangles by bisecting the 30°
Now we have two triangles that have two angles 90° and 15°
Subtract 15° from 90°, you'll get 75°
Double 75° because x is split into 2
150° = x
Also, were given 3 angles, this is a quadrilateral.
90° + 90° + 30° = 210°
360° - 210° = 150°
Answer:
150°
Step-by-step explanation:
OA⊥AC and OB⊥BC
∠A+∠B+∠C+∠O=360°
90°×2+30°+x=360°
x=360°-210°=150°
Please answer this correctly
Answer:
New mean will be( 8 + 3 + 4 + 2 + 8) / 2
= 25/5 = 5 (old was 6)
New median will be 4 (old was 8)
Answer:
Mean, Mean would change the most the original mean was 28.4, after replacing 9 with 4 it changed to 23.4. With the difference of 5.
Step-by-step explanation:
Mode will stay the same with the repetition of 8, median will be a 4 difference from 8 to 4
Pleasssseeee hheeelllppp
Answer:
No
Step-by-step explanation:
They are not congruent or similar because the figures themselves indicate no similar or congruent parts. Although they may seem congruent or similar, without telling us one thing, we cannot assume that they are similar or congruent.
The image of ABC after a reflection across EG is ABC which statement is true about point F
Answer: First option.
Step-by-step explanation:
As the triangle is reflected over the line EG, this means that the distance between each common point of the triangles and the line must be the same for both triangles.
This means that the distance between B and E, is the same distance as the distance between B' and E.
Now, as you know, the midpoint of a segment is a point such that the distance between that point and each endpoint is the same.
So, in the linea AA', the points A and A' are the endpoints, and because F lies in the line of reflection, the distance between A and F is the same distance than in between A' and F.
So F is the midpoint in the line AA'
The correct option would be the first one, F is the midpoint of AA' because the line EG bisects AA', and F is colinear to E and G.
justify each step x/3-7=11 x/3=18 x=6
This is the steps for equation solving for the value of x,
x/3-7 = 11
now 7 goes to the other side of equation by changing the sign from - to +,
x/3 = 11 + 7
x/3 = 18
now when we multiply both sides of equation with 3 or 3 goes to the other side of equation and multiply with 18 leaving x alone here for finding the value of x,
and we get, x = 54
at the end of equation we get x = 54, if the equation was in the form 3x - 7 = 11, then we will get x = 6
If sin(18+x)=cos58 find value of x
Answer:
14
Step-by-step explanation:
Since sine and cosine are cofunctions of each other:
[tex]\sin (\theta)= \cos (90-\theta)[/tex]
and vice versa. Therefore:
[tex]18+x=90-58 \\\\18+x=32 \\\\x=32-18=14[/tex]
Hope this helps!
5:36, 2:9, 3:18, 1:3 what is the largest ratio? please help me!
Answer:
[tex]1:3[/tex]
Step-by-step explanation:
[tex]5:36=5/36[/tex]
[tex]\approx 0.13888888888[/tex]
[tex]2:9=2/9[/tex]
[tex]\approx 0.22222222222[/tex]
[tex]3:18=1/6[/tex]
[tex]\approx 0.16666666666[/tex]
[tex]1:3=1/3[/tex]
[tex]\approx 0.33333333333[/tex]
Answer:
1:3
Step-by-step explanation:
GCF of 36, 9, 18, 3 is 36
5:36
2:9= 8:36
3:18= 6:36
1:3= 12:36
1:3 is the largest ratio.
You might need:
A circle is centered at J(3,3) and has a radius of 12.
Where does the point F(-6, -5) lie?
Choose 1 answer:
Answer:
Step-by-step explanation:
The equation of this circle is (x - 3)^2 + (y - 3)^2 = 12^2.
Let's substitute the coordinates of the given point and compare the results to the above equation: do they produce a correct statement?
(-6 - 3)^2 + (-5 - 3)^2 = ?
9^2 + 8^2 = 145
Because r = 12, the above result would need to be 144, not 145, if the given point were actually on the circle. We must conclude that (-6, -5) lies just outside the circle.
81 + 64 = 144
Share £45 in the ratio of 2:3.
Answer:
18:27
Step-by-step explanation:
2:3= 2 parts to 3 parts
Total is 5 parts
45/5 parts- each part is 9
2(9)=18
3(9)=27
Answer:
[tex]\£ 18: \£27[/tex]
Step-by-step explanation:
[tex]\frac{45}{2+3}[/tex]
[tex]\frac{45}{5}=9[/tex]
[tex]2:3[/tex]
[tex]2 \times 9 : 3 \times 9[/tex]
[tex]18:27[/tex]
Consider the function f(x) = 3x and the function g, which is shown below. G(x)=F(x)-2=3^x-2 How will the graph of g differ from the graph of f? A. The graph of g is the graph of f shifted 2 units up. B. The graph of g is the graph of f shifted 2 units to the right. C. The graph of g is the graph of f shifted 2 units down. D. The graph of g is the graph of f shifted 2 units to the left. Reset Next
H E L P
Answer:
C. The graph of g is the graph of f shifted 2 units down
Step-by-step explanation:
The transformation ...
g(x) = f(x -h) +k
represents a translation h units right and k units up.
You have h=0 and k=-2, so the graph is shifted 0 units right and 2 units the opposite of up.
The graph of g is the graph of f shifted 2 units down.
Answer:
C
Step-by-step explanation:
I just took the test on edmentum
Square 100 * square 25 simplified
Answer:
50
Step-by-step explanation:
Both √100 and √25 are perfect squares:
√100 = 10
√25 = 5
10(5) = 50
Which is the better buy?. Store A $180 at 1/3 off Or Store B $110 at 10% off
Answer: Store B
Step-by-step explanation:
180 / 3 = 60. 180 - 60= $120. Store A cost is $120.
110 * 0.9 = $99. Store B's cost is $99.
Answer:
Store B
Step-by-step explanation:
Store A the price would be about $120.60
Store B price would be about $99
To find store a price, you first find the discount, so
0.33 x 180 = 59.40
Then subtract this from the original price to know the total after the discount
180-59.40=120.60
Do the same thing with the other Store
110 x 0.10 = 11
110-11=99
write an equation for an ellipse centered at the origin, which has foci at (+-3,0) and co vertices at (0+-4)
Answer:
The equation for an ellipse centered at the origin with foci at (-3, 0) and (+3, 0) and co-vertices at (0, -4) and (0, +4) is:
[tex]\frac{x^{2}}{7} + \frac{y_{2}}{16} = 1[/tex]
Step-by-step explanation:
An ellipse center at origin is modelled after the following expression:
[tex]\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1[/tex]
Where:
[tex]a[/tex], [tex]b[/tex] - Major and minor semi-axes, dimensionless.
The location of the two co-vertices are (0, - 4) and (0, + 4). The distance of the major semi-axis is found by means of the Pythagorean Theorem:
[tex]2\cdot b = \sqrt{(0-0)^{2}+ [4 - (-4)]^{2}}[/tex]
[tex]2\cdot b = \pm 8[/tex]
[tex]b = \pm 4[/tex]
The length of the major semi-axes can be calculated by knowing the distance between center and any focus (c) and the major semi-axis. First, the distance between center and any focus is determined by means of the Pythagorean Theorem:
[tex]2\cdot c = \sqrt{[3 - (-3)]^{2}+ (0-0)^{2}}[/tex]
[tex]2\cdot c = \pm 6[/tex]
[tex]c = \pm 3[/tex]
Now, the length of the minor semi-axis is given by the following Pythagorean identity:
[tex]a = \sqrt{b^{2}-c^{2}}[/tex]
[tex]a = \sqrt{4^{2}-3^{2}}[/tex]
[tex]a = \pm \sqrt{7}[/tex]
The equation for an ellipse centered at the origin with foci at (-3, 0) and (+3, 0) and co-vertices at (0, -4) and (0, +4) is:
[tex]\frac{x^{2}}{7} + \frac{y_{2}}{16} = 1[/tex]
4. (07.04 MC)
An observer (0) spots a plane (P) taking off from a local airport and flying at a 23° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B)
circling directly above her. If the distance from the plane (P) to the tower (T) is 5,000 ft., how far is the bird (B) from the plane (P)? Round to the nearest whole number.
Answer:
11779 ft
Step-by-step explanation:
We are given that
[tex]\theta=23^{\circ}[/tex]
Distance between tower and plane,d=5000 ft
We have to find the distance between the plane and bird.
Let x be the distance between bird and plane
We know that
[tex]tan\theta=\frac{perpendicular\;side}{Base}[/tex]
Using the formula
[tex]tan23=\frac{5000}{x}[/tex]
[tex]x=\frac{5000}{tan23}=11779.3 \approx 11779ft[/tex]
Hence, the distance between the plane and bird=11779 ft
Answer:
11779 ft
Step-by-step explanation:
We are given that
Distance between tower and plane,d=5000 ft
We have to find the distance between the plane and bird.
Let x be the distance between bird and plane
We know that
Using the formula
Hence, the distance between the plane and bird=11779 ft
0.5(repeated)+0.1(repeated)-0.3(repeated)?
Answer:
[tex]\dfrac{1}{3}=0.\overline{3}[/tex]
Step-by-step explanation:
Since a single digit is repeated in each case, and since the repeat starts at the decimal point, the fraction corresponding to the repeated digit is that digit divided by 9.
[tex]0.\overline{5}+0.\overline{1}-0.\overline{3}=\dfrac{5}{9}+\dfrac{1}{9}-\dfrac{3}{9}=\dfrac{5+1-3}{9}=\dfrac{3}{9}\\\\=\boxed{\dfrac{1}{3}}[/tex]
_____
Comment on equivalents to repeating decimals
The number of 9s in the denominator equals the number of repeated digits.
0.2727(repeated) = 27/99 = 3/11 . . . . . 2 repeated digits
What was the sampling method that was used in the scenario? A study was done to determine the age, the number of times per week, and the duration (amount of time) of residents using a local park in San Antonio, Texas. The first house in the neighborhood around the park was selected randomly, and then the resident of every eighth house in the neighborhood around the park was interviewed.
Answer:
The sampling method that was used in the scenario is systematic sampling.
Step-by-step explanation:
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and following a static, periodic interval.
For instance, consider a study where the researcher first selects a name randomly from the alphabetized order and then follow a fixed pattern of selecting every 10th person from the population.
In this case, a study was done to determine the age, the number of times per week, and the duration (amount of time) of residents using a local park in San Antonio, Texas.
The first house was randomly selected from the neighborhood around the park.
Then, the resident of every 8th house in the neighborhood around the park was interviewed.
So, the researcher selects a random house and then keep on selecting the houses in an interval of 8. This way the next house selected with be the 8th, the next the 16th, and so on.
Thus, the sampling method that was used in the scenario is systematic sampling.
Pete is making decorations for a dinner party.The instructions tell him to use 9 flowers for a medium-sized decoration.Complete each statement to adjust the flowers for different-sized decorations based on these instructions.
Answer:i need points
Step-by-step explanation:bleep bop boop
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function in your final answer include the table of function values f(x)=2^x h(x)=x^3+x+8
Answer:
When x = 10, or when f(x) = 1024, or any value greater than that.
Step-by-step explanation:
For f(x): 1x = 2, 2x = 4, 3x = 8, 4x = 16, 5x = 32, 6x = 64, 7x = 128, 8x = 256, 9x = 512, 10x = 1024
for g(x) 1x = 10, 2x = 19 3x = 38, 4x = 72, 5x = 128, 6x = 230, 7x = 358, 8x = 528, 9x = 746, 10x = 1018
Answer:
When x = 10, or when f(x) = 1024, or any value greater than that.
Step-by-step explanation:
Flight 4581 travels daily from Pittsburgh to San Antonio. The flight is due into San Antonio at 5:07 p.m. The following list gives the Flight 4581 arrival time relative to 5:07 p.m. (in minutes) for a selection of 9 days. (A negative number means that the flight arrived early.) 21, 39, 37, 25, 6,-6, -4, 40, 37 Send data to Excel
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. an integer, round your answer to one decimal place.
zero modes
(b) How man ndicate the number of mo vasluers) of the mode modes does the data set have, and what are eir values?
Question:
Flight 4581 travels daily from Pittsburgh to San Antonio. The flight is due into San Antonio at 5:07 p.m. The following list gives the Flight 4581 arrival time relative to 5:07 p.m. (in minutes) for a selection of 9 days. (A negative number means that the flight arrived early.) 21, 39, 37, 25, 6,-6, -4, 40, 37 Send data to Excel
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. an integer, round your answer to one decimal place.
b) How many modes does the data set have? and what are their values
Answer:
a) 21.2
b) Value of mode = 37
It contains just one mode
Step-by-step explanation:
Given:
x = 21, 39, 37, 25, 6,-6, -4, 40, 37
n = 9
a) Find the mean
Mean is the average value of a dataset.
Mean = Σx/n
Mean = [tex] \frac{21+39+37+25+6+(-6)+(-4)+40+37}{n} [/tex]
[tex] = \frac{195}{9} [/tex]
[tex] = 21.667 [/tex]
The question says one decimal place.
Therefore, mean = 21.7
b) The mode of a dataset is the value that appears most frequently.
We have the following datasets:
21, 39, 37, 25, 6,-6, -4, 40, 37
The value that appears most frequently here is 37.
37 appeared twice while the rest appeared just once.
Therefore the dataset contains just one mode
Please answer this correctly
Answer:
5/7
Step-by-step explanation:
There are 7 cards, all of which have an equal chance of being chosen.
And in this case, because there are 7 cards in total, they each have a 1/7 chance of being chosen. Because there are 5 cards greater than 4, you have a 5x1/7 chance =5/7 chance of choosing a number greater than 4.
P.S. If you need it as a percentage, then it is 71.428571%.
P.P.S. Remember if you like the answer then mark as brainliest thank you!
Arrange the equations in the correct sequence to rewrite the formula for displacement, d = vt-at?, to find a. In the formula, dis
displacement, vis final velocity, a Is acceleration, and t is time.
2(vt -d)=at^2
a=2(d – vt)/12
2(d-vt) = at^2
vt-d=1/2 at^2
d-vt = 1/2at^2
a=2(vt-d)/t^2
Options
[tex]2(vt -d)=at^2[/tex]
[tex]a=\frac{2(d - vt)}{t^2}[/tex]
[tex]2(d-vt) = at^2[/tex]
[tex]vt-d=\frac{1}{2} at^2[/tex]
[tex]d-vt = -\frac{1}{2}at^2[/tex]
[tex]a=\frac{2(vt-d)}{t^2}[/tex]
Answer:
See Explanation below
Step-by-step explanation:
Given
[tex]d = vt - \frac{1}{2}at^2[/tex]
Required
Steps to find a
To solve for a;
The step 1 is :
[tex]d-vt = -\frac{1}{2}at^2[/tex]
This is achieved by adding vt to both sides
The step 2 is:
[tex]vt-d=\frac{1}{2} at^2[/tex]
This is achieved by multiply both sides by -1
The step 3 is:
[tex]2(vt -d)=at^2[/tex]
This is achieved by multiplying both sides by 2
The step 4 is:
[tex]a=\frac{2(vt-d)}{t^2}[/tex]
This is achieved by dividing both sides by t²
Note that, not all steps in the option are used because they are either incorrect or not necessary
Answer:
for edmentum the answer is
Box 1: d-vt=1/2at^2
Box 2: vt-d=1/2at^2
Box 3: 2(vt-d)/t^2
Step-by-step explanation: Almost certain after scrounging Brainly.
Good luck!
6 people will attend a lunch 2 cans of juice should be provided per person determine the total number of cans of juice required
Answer:
12
Step-by-step explanation:
it's 6 people and 2 cans of juice goes to each person so you can multiply 6× 2 and you get 12 . 12 cans of juice would be required to provide 6 people with 2 cans each .
PLEASEEEE HELLLPPPP COMPARING EXPONENTIAL FUNCTIONS ...an online retailer developed two exponential functions to model the weekly usage of two coupon codes where x os the number of weeks since the start of the year.
Answer:
A. The weekly usage of both coupons is decreasing and approaching a horizontal asymptote as x gets larger.
Step-by-step explanation:
You can see that f(x) is a decreasing exponential function because the base is 0.75, a value less than 1. The horizontal asymptote is 10, the constant added to the exponential term.
Obviously, g(x) is decreasing. If we assume it is an exponential function, we know there is a horizontal asymptote. (Every exponential function has a horizontal asymptote.)
__
If you use your graphing calculator's exponential regression function, you can find a good model for g(x) is ...
g(x) = 950·0.7^x +12
That is, it is an exponential function that decays faster than f(x), but has a higher horizontal asymptote.
_____
Both functions are decreasing and approaching horizontal asymptotes.
EXREAMLY URGENT!! WILL FOREVER THANK YOU!!!! PLS JUST TAKE A LOOK!!!!!
17. Find the measure of DE
A) 14.5
B) 13.4
C) 12.3
D) 15.9
Answer:
C. 12.3
Step-by-step explanation:
We should use Law of Cosines: c² = a² + b² -2abcosC
If that is the case, then EF is a, DF is b, and ∠F is c. We then plug the known variables in:
c² = 12² + 13² - 2(12)(13)cos59°
Plug that into the calc and you should get 12.2313, rounded to 12.3 as your final answer!