Answer:
23.2
Step-by-step explanation:
The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
23.2
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2 (rounded to the nearest tenth).
Option B is the correct answer.
We have,
Find the mean:
Mean = (11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99) / 15
= 601 / 15
= 40.06
Subtract the mean and square the differences:
(11 - 40.06)² = 844.48
(16 - 40.06)² = 578.8836
(22 - 40.06)² = 326.1636
(28 - 40.06)^² = 145.4436
(29 - 40.06)² = 122.3236
(30 - 40.06)² = 101.2036
(31 - 40.06)² = 82.0836
(34 - 40.06)² = 36.7236
(37 - 40.06)² = 9.3636
(38 - 40.06)² = 4.28
(43 - 40.06)² = 8.6436
(49 - 40.06)² = 79.92
(56 - 40.06)² = 254.0836
(78 - 40.06)² = 1439.4436
(99 - 40.06)² = 3473.9236
Calculate the mean of the squared differences:
The mean of squared differences.
= 7506.9632/15
= 500.4642
Take the square root of the mean squared differences:
Standard deviation = √(500.4642)
Standard deviation ≈ 23.223
Therefore,
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2.
Learn more about standard deviations here:
https://brainly.com/question/29115611
#SPJ4
Determine if the equations are parallel, perpendicular or neither. -9y=-3x+18 and 2x-6y=30
Answer:
The answer is They are parallel
Step-by-step explanation:
They have the same slope but different y-intercepts
y = 1/3x - 2
y = 1/3x - 30
pls mark me as brainliest
Answer: Parallel
Step-by-step explanation: They never cross therefore making the two equatons parallel lines
Suzy ordered some games online for $19 each. She paid a total of $8 for shipping. The total cost of the purchase was $122. How many games did she buy? 7) Using the word problem above, write an equation to find the number of games Suzy bought. (Hint: Don't do any of the steps to solve it, just write the equation) Your answer
Answer:
6
Step-by-step explanation:
122-8 shipping =114 /19=6
find the x and y intercept
y=5x-13
Answer:
X int = 13/5 Y int= -13
Step-by-step explanation:
Model 3+ (-4) on the number line
Answer:
-1
Step-by-step explanation:
If u add 3 whole numbers to a negative number 4 then it'll equal -1. Think of it like 4-3 but add the negative sign at the begining
Answer:
-1
Step-by-step explanation:
Simplify: 3 - 43 - 4 = -1Mark -1 on the number lineI hope this helps!
River needs to buy a shade for a window in his house. He measured the width of the window as 27 inches. The actual measurement is 24 inches. What is rivers percent error?
Answer:
12.5%
Step-by-step explanation:
Actual measurement of the window = 24 inches
Measured measurement of the window = 27 inches
We need to find the Rivers percent error. It can be calculated as follows :
% = (|actual value-measured value|)/actual value × 100
[tex]\%=\dfrac{27-24}{24}\times 100\\\\\%=12.5\%[/tex]
So, River's percent error is 12.5%.
URGENT Find the base angles of the figure below.
Answer:
25°
Step-by-step explanation:
Since AB = AC then the triangle is isosceles.
Thus the 2 base angles are congruent, that is
base angle = [tex]\frac{180-130}{2}[/tex] = [tex]\frac{50}{2}[/tex] = 25°
Answer:
D. 25° hope this helps
Step-by-step explanation:
9. a - 2a +5
pls help i’m kinda dumb
HELP PLEASE GET BRAINLIST!!
solve for x,
90 - 3/2x ≤ 30
Answer: x>- -40
Step-by-step explanation:
Im so confused pls help
Step-by-step explanation:
[tex] f(x) \: = \: \frac{4}{5} - \frac{5}{x + 1} [/tex]
[tex]f(x) \: \: = \: \: \frac{(4)(x + 1) - 5(5)}{5x + 5} [/tex]
[tex]f(x) \: \: = \: \: \frac{4x + 4 - 25}{5x + 5} [/tex]
[tex]f(x) \: \: = \: \: \frac{4x - 21}{5x + 5} [/tex]
f(x) = g(x)
[tex] \frac{4x - 21}{5x + 5} = \frac{2}{5x + 5} [/tex]
4x - 21 = 2
x = (21 + 2)/4
x = 5.75
Find x (Type the number answer)
Answer:
18.41
Step-by-step explanation:
[tex]x^{2} = 12^{2} + 8^{2} - 2(12)(8)(cos 133)\\\\x= \sqrt{338.94} = 18.41[/tex]
How many modes, if any, does the group of data have?
Kate, Tim, John, John, Angela, Tim, Sue 1 mode 2 modes no mode 3 modes
The number of modes in the dataset is 1. The dataset is unimodal. The correct option is therefore;
1 mode
What is a unimodal data?A unimodal data is a set of data that has only one mode. The mode is a measure of central tendency.
The data in the question can be presented as follows;
Kate, Tim, John, John, Angelam, Tim, Sue
The frequency of each of the data is therefore;
Kate; 1, Tim; 1, John; 2, Angela; 1, Tim; 1, Sue; 1
The mode of a dataset, is the value that has the highest frequency, or that appears the most in the dataset.
The data that has the highest frequency is John, the mode of the dataset is therefore, John, which has a frequency of 1
The dataset, therefore, has only 1 mode.Learn more on the measures of central tendency, mode median, and mean, of a dataset here: https://brainly.com/question/24994390
#SPJ1
I’m not sure how to do this, someone please help.
Answer:
A
Step-by-step explanation:
Answer: It is E (3, -7)
When Kim works 40 hours in a week, she earns $560. If she works only 35 hours, how much should she expect to earn?
Answer:
$490
Step-by-step explanation:
$560 divided by 40 is $14 an hour and 14 times 35 is 490, so $490.
Answer:
£490
Step-by-step explanation:
So you do 560 divided by 40, which is 14 then you × 35 by 40 =£490.
1/4(z +3z)+ 7=−z + 1 please help with this ive been stuck
Answer:
z = -3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
z+7=−z+1
Step 2: Add z to both sides.
z+7+z=−z+1+z
2z+7=1
Step 3: Subtract 7 from both sides.
2z+7−7=1−7
2z=−6
Step 4: Divide both sides by 2.
2z = −6
2 2
z=−3
Answer:
Why you delete my answer
Step-by-step explanation:
I need help on this one
Answer:
A
Step-by-step explanation:
What is 4.9 x 10 -3 in standard form?
Answer:
0.0049
Step-by-step explanation:
Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B. 3:24, D. 5:40 E.7:56
Step-by-step explanation:
3:24 = 1:8 (Dividing by 3)
5:40 = 1:8 (Dividing by 5)
7:56 = 1:8 (Dividing by 7)
The ratios that are equivalent to 1:8 are:
3:24, 5:40, and 7:56.
Options B, D, and E are the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
A)
16:2
= 16/2
= 8/1
= 8:1
B)
3:24
= 3/24
= 1/8
= 1:8
C)
4:12
= 4/12
= 1/3
= 1:3
D)
5:40
= 5/40
= 1/8
= 1:8
E)
7:56
= 7/56
= 1/8
= 1:8
Thus,
3:24, 5:40, and 7:56 are equivalent to 1:8.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Answer and Step-by-step explanation:
A) A(t) = 5000(1 + 0.012)t
B) A(t) = 106260
A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.
B) When we plug 21 into the equation, we get 106260.
I hope this helps!
(-4/3)x -6 =26
solve for x
Answer:x =24
Step-by-step explanation: If we reverse that we will get x= 32x3/4 which is 24
Answer:
x = -24
Step-by-step explanation:
(-4/3)x -6 =26
Add 6 to both sides:
(-4/3)x = 32
(-4/3) = -1.33333333
divide both sides by -1.33333333
x = -24
Substitute:
(-4/3)(-24) -6 =26
32 - 6 = 26
26 = 26
x = -24
What is the answer to 3z−6/7−2z = 1.2/3.2 ? Please help
Answer:
= 1.23214285
Step-by-step explanation:
HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).
Answer:
Y=3x+12 (its the first option)
Step-by-step explanation:
I did the assignment.
The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.
Given :
The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):
Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
Step 2 - The one-point form is given below:
[tex](y-y_1) = m (x-x_1)[/tex]
Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.
Step 4 - Now, substitute the values of slope and the point in the above expression.
[tex](y+3) = 3 (x+5)[/tex]
y = 3x + 2
For more information, refer to the link given below:
https://brainly.com/question/19300779
PLS HELP ASAP
WILL MARK BRAINLIEST
Answer:
the answer would be clld i am pretty sure yeah hopefully it is right and yeah
Step-by-step explanation:
if two thirds of a number is 56, what is three-quarters of that number?
Answer:
84
Step-by-step explanation:
56/2 = 28
28 x 3 = 84
To check work: 84/3 =28
A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings. If Elena’s ice cream cost $1.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answer:
3 ounces more
Step-by-step explanation:
50*3 =1.50
3.00+1.50= 4.50
what is -2(15 ÷ 5) + 7(-2)
Answer:
-20
Step-by-step explanation:
A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
A 10-pound mixture that would sell for $80?
Answer:
six plastic bricks and four wooden blocks
Step-by-step explanation:
plastic bricks=10
wooden blocks:5
lets make plastic x and wooden y
if we made an eight pound mixture of only plastic bricks, that would get us to 80, but would not be enough weight. if we substitute one x pound for two y, we would have 9 pounds and $80. if we substitute this again, we have ten pounds and $80. we added four wooden blocks, and we took two away from the 8 plastic we had, so that is 6 plastic. so we have 6x and 4y, using the variables I assigned for the blocks above.
Which relation is a function?
Answer:
Bottom right
Step-by-step explanation:
Each domain value can only have 1 range value.
Your cell phone plan costs $34.99 per month plus $0.15 for each text message you send or receive. You have at most $40 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?
Answer:
33 texts
Step-by-step explanation:
34.99+0.15(t)=40
lets say t is number of texts
subtract 34.99 from both sides
0.15(t)=$5.01
divide 5.01 by .15
33.4
but you cant send .4 of a text
so 33 texts
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00for 20 hours of work. Find the amount of pay for 31 hours of work. ONLY NUMERICAL VALUE
Answer:
$190.65 for 31 hours
Step-by-step explanation:
P= ha
123=20a
123/20=a
6.15=a
P=6.15h
P= 6.15(31)
p=190.65
solve the question.
Answer: 1
[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]
Step-by-step explanation: