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
Becky made 63 carnival masks, which is 30% less than the number her brother made. How many carnival masks did becky and her brother make in total?
HELP
Answer:
153
Step-by-step explanation:
Which compound inequality could be represented by the graph?
-5 -4 -3 -2 -1 0
1
2
3 4
5
-4
-2 sxs-1
Oxs-1 or x > 0
Ox<3 or x>-1
Answer:
D, just got it righ,t May 2021
Step-by-step explanation:
x ≤ 3 or x ≥ -1 represent the given graph.
Option (4) is correct.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality.
As per the given diagram:
A line is drawn and a certain range of values are marked on the line,
To find the compound inequality that could be represented by the graph.
Because a number line with only real numbers is displayed in the provided graph.
We identify the solution set for each option by considering it separately.
1) -4 ≤ x ≤ 4
Since, the solution set contain only numbers between -4 and 4.
So it is false.
2) -2 ≤ x ≤ -1
This is a wrong representation.
3) x ≤ -1 or x ≥ 0
This represents all real numbers, excluding numbers between -1 and 0
So it is false.
4) x ≤ 3 or x ≥ -1
So it represents all the real numbers on number lines as shown in the graph below.
So, it is true.
x ≤ 3 or x ≥ -1 represent the given graph.
Learn more about Inequality here:
brainly.com/question/30231190
#SPJ7
help hlp hlp hlp pls pls pls pls
Answer:
10m
Step-by-step explanation:
Hope this helps! Please give me brainliest and tysm!
Answer:
10 m
Step-by-step explanation:
Area of the triangle
=40 m²
height (h) = 8 m
Base (b) = ?
We know
Area of triangle = 1/2 * b * h
40 = 1/2 * b * 8
40 = 4b
b = 10 m
Hope it will help :)
Could someone help me that knows and won't put a bad answer. 30 points.
Answer:
line D
Step-by-step explanation:
The slope of the line D is y= 1/2x-1.5
23 out of 5 of the students in my class have dark hair.
What percentage does not have dark hair?
Answer:
460%
Step-by-step explanation:
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.
John leaves to go home. He walks 6 blocks north and the 8 blocks west.how far is John from the school?
Answer:
The answer is 10 blocks.
Step-by-step explanation:
The answer is confusing but you would really ask your self what 5*2 would be because if you were to use blocks you would calculate the length of the route but not the direct distance of home to school.
Find the volume of the given cone.
A.320 in
B.1,244 in
C.415 in
D.622 in
Answer:
the correct answer is c. 415in
Step-by-step explanation:
You have to multiply the base radius by the height.
6+3×(13−2)−5^2
whoever answers first will get branliest and will get 50 points
Answer:
14
Step-by-step explanation:
HELP ASAP!! I need help thanks!!
Answer:
vertices
Step-by-step explanation:
I looked at stuff at it says vertices
Answer:
I think option 3rd is correct the vertices.
Step-by-step explanation:
B is joining the D and C together.
1 Jeremy is driving to a friend's house that is 88 miles away from his home. The scale on Jeremy's map is Inch is equivalent to 8 miles. How far is it on the map 2 from Jeremy's house to his friends house?
4 1/2 inches
3 1/2 inches
5 1/2 inches
9 1/2 inches
Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order to be able to compare the ratios of the corresponding sides. Please help
Answer/Step-by-step explanation:
AC = 1.2
AB = 4
BC = 2.6
DF = 3
DE = 10
EF = 6.5
Thus:
[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]
[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]
[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]
The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.
f - 3/4 = 1 1/2 please help !
Answer:
f = 2.25
Step-by-step explanation:
Given that,
[tex]f-\dfrac{3}{4}=1\dfrac{1}{2}\\\\f-\dfrac{3}{4}=\dfrac{3}{2}[/tex]
Adding 3/4 to both sides of the equation.
[tex]f-\dfrac{3}{4}+\dfrac{3}{4}=\dfrac{3}{2}+\dfrac{3}{4}\\\\f=\dfrac{6+3}{4}\\\\f=\dfrac{9}{4}\\\\f=2.25[/tex]
So, the value of f is equal to 2.25.
10 + 25
The expression represents a quadraticy polynomial with
terms. The constant
term is
the leading term is
and the leading coefficient is
Answer:
(x+5)^2
Step-by-step explanation:
(x+5)^2 Using the foil method 5+5=10 and 5x5=25
In a sports meet, Sonam’s team completes the run at 40 seconds during heat events. On championship day, his team completes the same run at 45 seconds. What is the percentage difference in the completion time from the best completion time?
A. 10.5%
B. 12.5 %
C. 15.5 %
D. 20.5 %
Answer:
20.5
Step-by-step explanation:
Please help I don’t get it
Answer:
y = 2x ± 3
························
Step 1. The first blank is found at the point in which the line crosses the x- axis
Step 2. The second blankis found at the point in which the line crosses the y- axis
In this case those two points are 2 and 3
Hope this helped!
Vernon is having a fish fry. Catfish is on sale for 6.10 per pound. Vernon buys 2 3 5 pounds of catfish. How do you write 2 3 5 as an improper fraction?
Answer:
76.8
Step-by-step explanation:
at a school there are 10 students taking only chemistry, 9 students taking only physics 5 students taking both, and 16 students not taking either. if a student is randomly selected from the other school, what is the probability that they are taking chemistry or physics?
Answer:
If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)
Step-by-step explanation:
1. Determine a single event with a single outcome.
2. Identify the total number of outcomes that can occur.
3. Divide the number of events by the number of possible outcomes.
Answer:
3/5
Step-by-step explanation:
Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years
Answer:
4530.55
Step-by-step explanation:
2800 x 6.2% = 173.6
2800 + 173.6 = 3157.96
repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation
A cone has a volume of 8tt cubic inches, the height is 6 inches. What is the radius of the cone?
Answer:
48
Step-by-step explanation:
multiply 8x6 which is 48 .....8,16,24,32,40,48
132 ounces is what percent of 15 pounds?
Answer:
25%
Step-by-step explanation:
Answer:
19.8
Step-by-step explanation:
Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 3 years
3 years: 1,591.81 or 1,592
4 years: 1,623.65 or 1,624
the sum of a number x and 8, all divided by 3
Answer
x/3 and 2 1/3
Step-by-step explanation:
Which equation has a slope of -5/2 and a y-intercept of -2
Answer:
Step-by-step explanation:
slope-intercept equation for line of slope -5/2 and y-intercept -2:
y = (-5/2)x-2
put into standard form:
(5/2)x + y = -2
5x + 2y = -4
Answer:
B. -5x-2y=4
Step-by-step explanation:
if im wrong sorry have a good day
At a football game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team. If 455 people attending the game supported the home team, what was the total number of people attending the game? Help me plz:))
Answer:
1300
Step-by-step explanation:
Jon has $4.68 more than his brother, Amos.
If Jon has $79.32, how much money does Amos
have?
Answer:
74.8
Step-by-step explanation:
79.32-4.68= 74.8
Answer: The answer is 74.64. Amos has $74.64. Hope I helped :)
Step-by-step explanation:
Pls help I’ll brainlest for the right answer
Answer: 101 2/3
Step-by-step explanation:
Mila bought a computer with a price tag of $1,200.
After tax the total was $1,284. What was the rate of the
tax?
Answer: 7%
Step-by-step explanation:
what is the slope of this graph thank you
Answer:
-1/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1/3
Pls help I’ll brainlest for the right answer
Answer:
29110.87
Step-by-step explanation:
mt might is 20,401.5 ft high, and tall mountain is 8709.37 ft higher than mt might, so add their those numbers together