1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tanya [424]
2 years ago
15

Use the magnitudes​ (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the​ ra

nge, variance, and standard deviation. If another​ value, 7.50​, is added to those listed in the data​ set, do the measures of variation change​ much?3.28
2.78.
2.20
2.76
2.47
2.70
3.62
2.84
2.78
3.29
1.76
4.65
3.23
2.35
2.00
3.90
2.41
2.90
2.65
2.30
2.82
2.79
2.42
3.42
2.32
1.49
2.41
2.46
2.46
2.67
2.42
2.79
2.66
2.73
2.44

2.82
1.96
1.69
2.54

2.44
3.42
3.94
1.61
2.86
1.61
2.58
3.97
2.48
2.44
1.81
2.19
2.43
3.01
2.93
2.34
2.01
3.02
2.77
3.83
2.93
2.09
1.83
2.36
2.38
3.48
3.45
1.55
2.52
1.48
2.22
3.08
2.27
3.25
1.99
1.90
2.39
2.96
2.56
1.50
2.17
2.33
1.91
2.72
2.92
1.82
3.61
2.71
1.43
3.59
3.15
2.55
1.52
1.42
2.84
2.84
2.17
1.67
3.19
1.39
1.71
2.39
1.13
2.33
2.46
1.79
1.98
3.00
1.92
2.44
1.85
2.25
2.34
3.19
4.00
2.09
1.49
2.31
2.30
2.56
2.54
Mathematics
1 answer:
Bas_tet [7]2 years ago
5 0

Answer:

2.90

Step-by-step explanation:

im not completly shous though

You might be interested in
Here are summary statistics for randomly selected weights of newborn​ girls: nequals=174174​, x overbarxequals=30.930.9 ​hg, seq
MaRussiya [10]

Answer:

The 95% confidence interval would be given by (29.780;32.020)  

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=30.9 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=7.5 represent the sample standard deviation

n=174 represent the sample size  

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=174-1=173

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,173)".And we see that t_{\alpha/2}=1.97, this value is similar to the obtained with the normal standard distribution since the sample size is large to approximate the t distribution with the normal distribution.  

Now we have everything in order to replace into formula (1):

30.9-1.97\frac{7.5}{\sqrt{174}}=29.780    

30.9+1.97\frac{7.5}{\sqrt{174}}=32.020

So on this case the 95% confidence interval would be given by (29.780;32.020)    

The value 29.6 is not contained on the interval calculated.

5 0
3 years ago
How many lines of symmetry does this shape have?
Katena32 [7]

Answer: At least 7

Step-by-step explanation:

A good tip is to cut the same shape and fold it and count how many symmetry :)

4 0
3 years ago
The students in Mr. Wilson's Physics class are making golf ball catapults. The
Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is 0 \leq x \leq 48.6\ ft and the range is 0 \leq y \leq 8.3\ ft

Step-by-step explanation:

we have

y=-0.014x^{2} +0.68x

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's  distance from the catapult in feet

y is the flight of the balls in feet

Part a)  How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-0.014x^{2} +0.68x=0

so

a=-0.014\\b=0.68\\c=0

substitute in the formula

x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}

x=\frac{-0.68(+/-)0.68} {(-0.028)}

x=\frac{-0.68(+)0.68} {(-0.028)}=0

x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

y=-0.014x^{2} +0.68x

Find out the derivative and equate to zero

0=-0.028x +0.68

Solve for x

0.028x=0.68

x=24.3

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint  between the x-intercepts

x=(0+48.6)/2=24.3\ ft

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

y=-0.014(24.3)^{2} +0.68(24.3)

y=8.3\ ft

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A  reasonable domain is the distance between the two x-intercepts

so

0 \leq x \leq 48.6\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A  reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

so

we have the interval -----> [0,8.3]

0 \leq y \leq 8.3\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0
3 years ago
HELP ASAP YES I WILL GIVE BRAINLIEST
olganol [36]

Answer: magnesium >potassium hope it helps

8 0
3 years ago
Read 2 more answers
The yearly attendance at a local movie theater is 68,000 and grows continuously at a rate of 3.5% each year what is the approxim
asambeis [7]

3.5 \times 8 - 68000
the answer is 67972
7 0
3 years ago
Read 2 more answers
Other questions:
  • if you know the distance around a rectangle could you find the area of the rectangle? OPEN ENDED QUESTION HELP
    15·1 answer
  • Arjun is building a frame for his father's painting. Which measurement will tell him the minimum amount of wood that he
    12·1 answer
  • Use the ratio table below to determine who the faster swimmer is
    12·2 answers
  • (-22) × [(-4) + (-5)] = [(-22) × (-4)] + [(-22) × (-5)] (-22) x [(9)] = [(88)] + [(110)] -198 = 198 QUESTION: Verify the followi
    9·2 answers
  • A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29
    10·2 answers
  • Please help! due soon!​
    8·1 answer
  • What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x - 2)?<br> O 3<br> O 4<br> O 5<br> 09
    6·2 answers
  • PLEASE ANSWER THIS ASAP
    11·2 answers
  • How many area codes (ABC) would be possible if the first 2 digits can be any number 2-9 &amp; last digit can be any number 0-9?
    14·1 answer
  • The zigzag crystal vase has height 20 centimeters. The cross sections parallel to the base are always rectangles that are 12 cen
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!