The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1271 1187 1194 1250 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)
Answer:
The sample mean year is 1261 A.D.
The standard standard deviation is of 46 A.D.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]x = \frac{1271+1187+1194+1250+1268+1316+1275+1317+1275}{9} = 1261.4[/tex]
Rounding to the nearest whole number, the sample mean year is 1261 A.D.
Sample standard deviation:
Square root of the sum of the difference squared between each value and the mean, divided by one less than the sample size. So
[tex]s = \sqrt{\frac{(1271-1261.4)^2+(1187-1261.4)^2+(1194-1261.4)^2+(1250-1261.4)^2+(1268-1261.4)^2+(1316-1261.4)^2+(1275-1261.4)^2+(1317-1261.4)^2+(1275-1261.4)^2}{8}} = 45.8[/tex]
Rounding to the nearest whole number, the standard standard deviation year is of 46 A.D.
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.
9514 1404 393
Answer:
slope: 10 m/srepresents speed in meters per secondStep-by-step explanation:
The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.
Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...
m = (100 m)/(10 s) = 10 m/s . . . . slope of the line
The ratio of distance to time is given the name "speed", so ...
the slope represents the sprinter's speed in meters per second.
pls help me giving brainless.
What is 38,807 rounded to the nearest thousand?
Answer:
that would be 39,00
Step-by-step explanation:
Answer:
39,000
Step-by-step explanation:
807 is closer to 1,000 then 0 so add another 1,000.
Have a great day!
Recall that if there is an intruder, system A sounds an alarm with probability 0.9 and system B sounds an alarm with probability 0.95. If there is no intruder, system A sounds an alarm with probability 0.2 an system B sounds an alarm with probability 0.1. Now assume that the probability of an intruder is 0.4. Also assume that under a given condition (intruder or not), systems A and B operate independently. If both systems sound an alarm, what is the probability that an intruder is detected
I uploaded the answer to a file hosting. Here's link:
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I need step by step answer to my question
Step-by-step explanation:
what is your questions
Answer:
The answer would be 13.5 pints
Step-by-step explanation:
when you do 2 gallons - 2 pints you get 1.75 gallons
then when you do 1.75 - 1 cup you get 13.5 pints
Can someone please Helppp
Answer:
3, 4, 5
Step-by-step explanation:
check the coordinates
10 Points Please help me
Kam
Find the area of this
irregular figure.
-9 ft
[?] square feet
8 ft
15 ft
26 ft
Answer:
c
Step-by-step explanation:
im on plato just passed the test
Does anyone know what the answer please?
Answer:
<1 = 76
Step-by-step explanation:
<1 + 51 + 53 = 180
<1 + 104 = 180
<1 = 180 - 104
<1 = 76
What are the factors of 25x^2 – 9y^2?
A. (x-9y)(25x+y)
B. (x+9y)(25x-y)
C. (5x-3y)(5x-3y)
line q has a slope of 5/6 line r is a perpendicular to q what is the slope of line r
Answer:
y=13
Step-by-step explanation:
ndnjekskssj unlock ignition
Answer:
-6/5
Step-by-step explanation:
In order to find the slope of a line perpendicular to another, you have to take the negative reciprocal.
This basically means that you multiply the slope by -1 and flip it, switch the numerator and denominator, find the reciprocal, whatever you want to call it. (but reciprocal is the proper term for it)
In this case, after multiplying it by -1, it would be -5/6, and taking the reciprocal would make it -6/5.
A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
The length of each side of a square is 10 cm.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know, the perimeter of a rectangle is 2(length×width) and the perimeter of a square is 4×(side).
Given, The length and width of the rectangle are 13cm and 7 cm respectively.
Therefore, the perimeter of the rectangle is = 2(13×7) = 2×20 = 40 cm.
So, The perimeter of the square is also 40 cm.
Therefore, The length of the side is 4×side = 40.
side = 40/4.
side = 10 cm.
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A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?
Answer:
B
Step-by-step explanation:
Firstly, we will take a look at the equation and the options listed to choose from.
Secondly, we notice these options are reffering to rational and irrational numbers.
A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.
As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.
.............................................................................................................
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)
B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.
According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.
By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.
[tex]A = (3)\cdot \sqrt{5}[/tex]
[tex]A = 3\sqrt{5}[/tex]
Hence, the right answer is B.
We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650
3 m
150°
3. What is the area of the sector outlined by the dark line?
a. 150 m
b. 28.3 m
c. 11.8 m²
d. 3 m
Answer:
Area of sector = 11.8 m² (Approx.)
Step-by-step explanation:
Given:
Radius of a circle = 3 m
Given angle = 150°
Find:
Area of sector
Computation:
Area of sector = [θ/360][π][r]²
Area of sector = [150/360][22/7][3]²
Area of sector = [150/360][22/7][9]
Area of sector = [150/360][3.1428][9]
Area of sector = [0.4167][3.1428][9]
Area of sector = [1.345][9]
Area of sector = 11.789
Area of sector = 11.8 m² (Approx.)
4-5c=6+9(8-7c)
State if it has one no or infinite solutions
Answer:
It has one solution.
Step-by-step explanation:
c = 37/29.
What is the equation of a line with a y-intercept at (0, 2) and a slope of 3?
a. y = 2x + 3
C. y = 3x + 2
b. y = 3x - 2
d. y = -2x + 3
Answer:
answer is C
the slope is 3 and the intercept is (0,2) which is 2
Use powers of 10 to complete the table of equivalent expressions.
Answer:
1. 10^7
2. 10^-3
3. 10^-1
4. 10^2
Given g(x) = -5x – 4, solve for x when g(x) = 1.
Answer:
g (1) = -5(1) -4
-5-4
-9............. .......
Step-by-step explanation:
-5(1)-4=-5-4=-9 Answer
hope it helps
Jeremy drew a figure that is parallelogram but not a rectangle
Answer:
2 acute angles and 2 obtuse angles (D)
2 pairs of parallel sides
Find 0% of 200:
Find 100% of 200:
Find 50% of 200:
Find 25% of 200:
Find 75% of 200:
Answer:
0
200
100
50
150
Step-by-step explanation:
0% of 200 = 0
100% of 200
= ( 100 / 100 ) x 200
= 1 x 200
= 200
50% of 200
= ( 100% of 200 ) / 2
= 200 / 2
= 100
25% of 200
= ( 50% of 200 ) / 2
= 100 / 2
= 50
75% of 200
= ( 75 / 100 ) x 200
= ( 75 x 200 ) / 100
= 75 x 2
= 150
HELP! I’ll mark you brainliest! Find the area of the irregular figure.
Answer:
[tex] 177 \: cm^2 [/tex]
Step-by-step explanation:
Area of the irregular figure = Area of rectangle with dimensions 15 cm & 10 cm + Area of rectangle with dimensions (15-6-6=3) 3 cm and 2 cm + Area of triangle with base ( 2 + 2 + 3 = 7) 7 cm and height (18 - 10 - 2 = 6) 6 cm
[tex] = 15 \times 10 + 3 \times 2 + \frac{1}{2} \times 7 \times 6 \\ \\ = 150 + 6 + 21 \\ \\ = 177 \: {cm}^{2} [/tex]
Click through the graphs and select the one that could represent the relationship between the cost, c, of a call and the time, t, for the cell phone plan shown below.
Answer:it the last one i just got it right, i dont know how to put the pic up but, hope this helps.
Step-by-step explanation:
Relationship between the cost, c, of a call and the time, t, for the cell phone plan in the second graph.
What is Graph?
Graph is a representation of a network and is used to describe the connectivity between lines and points.
The below table represents the relationship between the cost in dollars and time in hours
Time in hours 0 1 2 3
Cost in dollars 10 13 16 19
By observing the values and Graph, we can see that 2nd graph matches with the given values.
Hence second graph matches with the value.
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what is the ratio of circles to total shapes
6 (x+3) < 3(2x+6)
What is x ?
Answer:
no solution
Step-by-step explanation:
6x + 18 < 6x + 18
0 < 0 is not a true statement, no solutions
Please help me solve this! also this is proportions by parts
Answer:
dat easy
Step-by-step explanation:
I just need help with this is anyone can help I would be happy Thx
Answer:
24 sq cm
Step-by-step explanation:
the big square is 20 and the small one is 4
im not understanding this and its making me frustrated can u help me?
Answer:
B
Step-by-step explanation:
If the dot it open, it does not include the number. If the dot is shaded, it does include the number. Whichever way the orange line is pointing, corresponds to < or >.
Mrs. Rhodes is building the ramp shown below and she wants to paint it blue. How much paint will she need to cover the entire surface?
Answer:
2/3 of paint I believe because of the amount shown
help help please i did not understand
Answer:
The tree grows 3,14 centimeters per year
Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.
Step-by-step explanation: