Answer:
(a) Mean and Median of type A
[tex]\bar x = 2145.47[/tex]
[tex]Median = 966[/tex]
(b) Mean and Median of type B
[tex]\bar x = 531.73[/tex]
[tex]Median = 366[/tex]
(c) The claim by the public health worker is true.
Step-by-step explanation:
Given
[tex]Type\ A: 38\ 100\ 186\ 199\ 253\ 380\ 595\ 966\ 1611\ 2638\ 3845\ 4931\ 5183\ 5367\ 5890[/tex]
[tex]Type\ B: 59\ 95\ 116\ 143\ 156\ 225\ 271\ 366\ 495\ 696\ 851\ 1060\ 1140\ 1101\ 1202[/tex]
[tex]n = 15[/tex]
Solving (a): The mean and median of A.
Mean is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{38 +100 +186 +199+ 253+ 380+ 595+ 966 +1611 +2638 +3845+ 4931+ 5183 +5367 +5890 }{15}[/tex]
[tex]\bar x = \frac{32182}{15}[/tex]
[tex]\bar x = 2145.47[/tex]
The median is calculated using:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{15+1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item is: 966
So:
[tex]Median = 966[/tex]
Solving (b): The mean and median of B.
Mean is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{59 +95 +116+ 143+ 156+ 225+ 271+ 366+ 495 +696+ 851+ 1060+ 1140 +1101+ 1202}{15}[/tex]
[tex]\bar x = \frac{7976}{15}[/tex]
[tex]\bar x = 531.73[/tex]
The median is calculated using:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{15+1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item is: 366
So:
[tex]Median = 366[/tex]
(c) The claim by the public health worker is true.
To do this, we simply compare the mean value of both types.
For Type A
[tex]\bar x = 2145.47[/tex]
For Type B
[tex]\bar x = 531.73[/tex]
The claim is:
[tex]Type\ A > 2 * Type B[/tex]
[tex]2145.47 > 2 * 531.73[/tex]
[tex]2145.47 > 1063.46[/tex]
Since the inequality is true, then the claim is true
Which is NOT equivalent to 40/100
A: 4/10
B:8/20
C:40/10
D:20/50
Answer:
B
Step-by-step explanation:
because B is 8/20 and it's not equivalent to 40/100
Bob was thinking of two numbers. He said the larger of his numbers was 8 more than the smaller number. He chose to represent the smaller number with an x. Which of the following is an expression that can be used to represent the larger number in terms of x?
Answer:
x+8
Step-by-step explanation:
Which graph represents the function f(x)=3/2(2)superscript x? I’ll give Brainliest or whatever
does any one know the correct answer that is good in math
Find the equation of the function in the graph
A) y=x
B) y=|x|
C) y=x3
D) y=x2
Answer:
D
Step-by-step explanation:
it is a graph of [tex]x^{2}[/tex]
Answer:
D.) y=x2
Step-by-step explanation:
Look in pic above, on EDGE NUITY I always used to graph to find the answer
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbps. The complete list of 50 data speeds has a mean of x=18.55 Mbps and a standard deviation of s=19.69 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
Answer:
a. 54.05 Mpbs.
b. 2.745... standard deviations.
c. The z-score is 2.745....
d. The carrier's highest data speed is significantly high.
Step-by-step explanation:
a. The difference between the highest measured data speed and the mean is 72.6 - 18.55 = 54.05 Mbps.
b. The amount of standard deviations of 54.05 Mbps is equal to this value divided by the standard deviations, so we yield [tex]\frac{54.05}{19.69} = 2.745...[/tex] standard deviations.
c. The z-score is equal to the difference between the mean and a data point in standard deviations, so the z-score is 2.745....
d. 2.745... is not between -2 and 2, so the carrier's highest data speed is not insignificant - so it's significantly high.
Write 0.000 97 in standard form
Answer:
[tex]9.7 \times 10 {}^{ - 4} [/tex]
The standard form of given number [tex]9.7[/tex]×[tex]10^{-4}[/tex]
What is standard form?Standard form is a way of writing down in easy form of very large or very small numbers.
Let E is the standard form of given number
E=0.00097
E= [tex]\frac{97}{100000}[/tex]
E=97×[tex]10^{-5}[/tex]
E=[tex]9.7[/tex]×[tex]10^{-4}[/tex]
The standard form of given number [tex]9.7[/tex]×[tex]10^{-4}[/tex]
Learn more about Standard form
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Find the value of x. 5+x=7
Solve the inequality for x. Be sure to show all work to receive full credit.
−3x + 5 ≤ −16
Answer:
x ≥ 7
Step-by-step explanation:
First, put the same terms on the same side. So subtract 5 from both sides. You will get:
-3x ≤ -21
Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.
You will get:
x ≥ 7
Therefore, x will be a number that is greater than or equal to 7.
HELP! WILL GIVE BRAINLIEST!
Based on the graph, is there only one solution?
A. Yes
B. No
The graph below shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second). What is the slope of the line?
Answer:
The slope is 3.75 OR 3 3/4.
Step-by-step explanation:
So the formula for slope I am using NOW, is based on the variables I named my dimensions. WARNING: NOT SLOPE FORMULA YOU MIGHT BE USING
y = 95 - 80
x = 10 - 6
Slope Formula: y/x
Substituted Slope Formula: (95 - 80)/(10 - 6)
Simplified Substituted Slope Formula: 15/4 OR 3.75
Hope this helps!!
The slope of the given linear equation is 3.75.
Given that, the graph given shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second).
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
From the given graph we have the coordinates (6, 80) and (10, 95).
The slope of an equation = (y2-y1)/(x2-x1)
=(95-80)/(10-6)
=15/4
=3.75
Therefore, the slope of the given linear equation is 3.75.
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write the fraction 4/10 as a product of a whole number and a unit fraction
Answer:
Step-by-step explanation:
Answer:
4 x 1/10
Step-by-step explanation:
All you have to do is to add 1/10 + 1/10 + 1/10 + 1/10.
Add the numerators 1+1+1+1=4 and keep your denominator.
So just add 1/10 4 times, thas why the answer is 4 x 1/10.
i need help with this
Answer:
just put any number for the answer if im reading it right they should all answer 0
Step-by-step explanation:
hope i helped ;)
help me with this question amigos
Answer:
-3 and 1
Step-by-step explanation:
(x+3)(x-1)=0
x+3=0
x-1=0
x=-3
x=1
50 points!
a. Use the Point-Slope form to find the equation of the line through the points (-5, 2) and (-2, 6).
b. Write the equation from part (a) above into the General as well as the slope-intercept form showing every step.
c. Find the x and y-intercepts of the equation above.
Answer:
a) y = 4/3x + 26/3
b) 4x - 3y + 26 = 0
c) x-int: (-6 1/2, 0)
y-int: (0, 8 2/3)
Step-by-step explanation:
a) to get points into the point-slope form you first find the slope by taking the difference of the y-values over the difference of the x-values;
slope (m) = (6 - 2) / (-2 - -5) = 4/3
plug 4/3 into 'm' and select one of the two points to plug in their 'x' and 'y' values so you can find 'b' (the y-intercept)
y = mx + b
6 = 4/3(-2) + b
6 = -8/3 + b
b = 6 + 8/3 = 18/3 + 8/3 or 26/3 (or 8.67)
so, put it all together to get the p-s form of y = 4/3x + 26/3
b) general equation is Ax + By + C = 0
take y = 4/3x + 26/3 and multiply each side by 3 to remove denominators
you get: 3y = 4x + 26; rearrange to get 4x - 3y + 26 = 0
c) y-intercept is (0, 8 2/3); derived during step (a)
to get x-intercept, plug zero in for 'y' and solve for 'x':
0 = 4/3x + 26/3
-4/3x = 26/3
cross-multiply and get 12x = -78
x = -78/12 or -39/6 or -6 1/2
What is M? Enter only value in response.
Answer:
x=23
Step-by-step explanation:
132+128+4x+2+5x-11+4x-10=540
13x+241=540
13x=540-241
13x=299
x=23
3) Use the situation to choose the correct answer.
A radioactive substance loses its mass at a rate of 12% every second. At the beginning
of an experiment, the substance has a mass of 6 centigrams.
After 5 seconds, how much mass is left of the radioactive substance? Round your
answer to the nearest hundredth centigram.
5.28 cg
03.17 cg
O 3.60 cg
O 0.72 cg
Answer: 3.60 cg
Step-by-step explanation:
just did the assignment
LOOK AT PIC, ASAP, ROGHT ANSWER GETS BRAINLIEST !
Answer:
Step-by-step explanation:
The teacher has 7/8 pounds of clay given.
gives out 1/16 per station
7/8= 0.875 pound
7/8 / 1/16 pound= 14 maximum stations
14 stations divided by 2 classes = 7 in each room
Translate the following, "Three times a number is at least that number plus 1 ""
Answer:
3x ≥ x+1
Step-by-step explanation:
Let the number be x.
ATQ,
Three times of a number = 3x
At least means ≥
So,
3x ≥ x+1
So, the required inequality is 3x ≥ x+1.
Choose Yes or No to tell if the fraction
will make each equation true.
3
+ a
=
23
24
Choose.. v
+=
Choose.. v
13
18
Choose.. v
-=+
Choose.. v
15
Answer:
yes
yes
no
yes
Step-by-step explanation:
Find the total surface and each pyramid. Round to the sea
SHOW YOUR WORK!
Answer:
328 square inches
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
Lateral Area of Pyramid:
L = 1/2Pl
l = 15.9
P = 2(8.2) + 2(8.2) = 32.8
L = 1/2(32.8)(15.9) = 260.76
Surface Area:
SA = B + L
B = (8.2)(8.2) = 67.24
L = 1/2(32.8)(15.9) = 260.76
SA = 67.24 + 260.76 = 328
Subtract. Write your answer as a fraction in simplest form. 1/9−(−4/9)=?
Answer:
1/3
Step-by-step explanation:
i hope its right ...
A club is going to raise money by printing calendars with photos of the community. The cost of printing the calendars is $5.50 per calendar. The photographer also charges a one-time cost of $200 for taking the photos. The club has $1500 to cover the initial costs of the calendar. Create an equation that represents the number of calendars the club can print. Use the variable n for the number of calendars
Answer:
[tex]n = \frac{1300}{5.50}[/tex]
[tex]n = 236[/tex]
Step-by-step explanation:
Given
The cost of printing one calendars [tex]= 5.5[/tex] dollars
The one time charge of taking photo [tex]= 200[/tex] dollars
The total sum of money with the club [tex]= 1500[/tex] dollars
The total sum of money going into printing of calendars [tex]= 1500 -200 = 1300[/tex] dollars
The total number of calendars that can be printed with remaining [tex]1300[/tex] dollars is equal to
[tex]n = \frac{1300}{5.50}[/tex]
[tex]n = 236[/tex]
A TV Screen is measured according to the diagonal of the screen. If a 65-inch TV has a height f 33 inches, what is it's width?
Answer:
The width of the TV screen is 56 inches.
Step-by-step explanation:
We can find the width of the TV screen by using Pitagoras:
[tex] D^{2} = H^{2} + W^{2} [/tex]
Where:
D: is the diagonal = 65 in
H: is the height = 33 in
W: is the width =?
Then, the width is:
[tex] W = \sqrt{D^{2} - H^{2}} = \sqrt{(65 in)^{2} - (33 in)^{2}} = 56 in [/tex]
Therefore, the width of the TV screen is 56 inches.
I hope it helps you!
Answer:
56in
Step-by-step explanation:
find the x- and y- intercepts of the following: 10x-4y=-20
Answer:
y-intercept=5
x-intercept=-2
Step-by-step explanation:
To find the y intercept, plug in 0 for x. So you get 10(0)-4y=-20. Simplify, and clear out the negatives on both sides because they cancel each other out. 4y=20 would be your final equation. y=5.
To find the x intercept, you plug in 0 for y this time. The equation is 10x-4(0)=-20. Simplify to get, 10x=-20. You cannot remove the negative because there isn't a negative sign on the 10x. -20/10 is -2.
please mark brainliest it will help me a lot.
The price of technology stock has risen $9.87 today yesterday's price is $9.74 find the percentage increase round your answer to the nearest 10th of a percent percentage.
Step-by-step explanation:
To find the percent increase, divide the increase by the original price.
P1 = price yesterday
P2 = price today
To find percent increase
[tex] \frac{(p2 - p1)}{p1} [/tex]
Or to answer the question,
P1 = 9.74
P2 = 9.87
[tex] \frac{(9.87 - 9.74)}{9.74} = 0.013347[/tex]
Or 1.33%
Which type of triangle is formed given the following angle measurements?
Angle 1: 50 degrees
Angle 2: 110 degrees
Angle 3: 20 degrees
I need this help me please
Answer:
I think its B
Step-by-step explanation:
Meaning of part of a whole
Answer:
Step-by-step explanation:
a portion or division of a whole that is separate or distinct; piece, fragment, fraction, or section; constituent: the rear part of the house;to glue the two parts together.
Please thank me!
please help me with this
a . 18
b . 16
c . 12
d . 9
