Answer:
0.5 + 0.06 + 0.004 in expanded form.
Step-by-step explanation:
The test scores on a 100-point test were recorded for 20 students:71 93 91 86 7573 86 82 76 5784 89 67 62 7277 68 65 75 84a. Can you reasonably assume that these test scores have been selected from a normal population? Use a stem and leaf plot to justify your answer.b. Calculate the mean and standard deviation of the scores.c. If these students can be considered a random sample from the population of all students, find a 95% confidence interval for the average test score in he population.
Answer: a. Yes
b. mean = 76.65
standard deviation = 10.04
c. 76.65 ± 4.4
Step-by-step explanation:
a. Stem and leaf Plot shows the frequencies with which classes of value occur. To create this plot, we divide the set of numbers into 2 columns: stem, the left column, which contains the tens digits; leaf, the right column, which contains the unit digits.
Normal distribution is a type of distribution: it's a bell-shaped, symmetrical, unimodal distribution.
A stem and leaf plot displays the main features of the distribution. If turned on its side, we can see the shape of the data.
The figure below shows the stem and leaf plot of the 100-point test score. As we can see, when turned, the plot resembles bell-shaped distribution. So, this test scores were selected from a normal population.
b. Mean is the average number of a data set. It is calculated as the sum of all the data divided by the quantity the sample has:
mean = [tex]\frac{\Sigma x}{n}[/tex]
For the 100-point test score:
mean = [tex]\frac{71+93+91+...+65+75+84}{20}[/tex]
mean = 76.65
Standard Deviation determines how much the data is dispersed from the mean. It is calculated as:
[tex]s=\sqrt{\frac{\Sigma (x-mean)^{2}}{n-1} }[/tex]
For the 100-point test score:
[tex]s=\sqrt{\frac{[(71-76.65)+(93-76.65)+...+(84-76.65)]^{2}}{20-1} }[/tex]
s = 10.04
The mean and standard deviation of the scores are 76.65 and 10.04, respectively.
c. Confidence Interval is a range of values we are confident the real mean lies.
The calculations for the confidence interval is
mean ± [tex]z\frac{s}{\sqrt{n} }[/tex]
where
z is the z-score for the 95% confidence interval, which is equal 1.96
Calculating interval
76.65 ± [tex]1.96.\frac{10.04}{\sqrt{20} }[/tex]
76.65 ± 4.4
The 95% confidence interval for the average test score in the population of students is between 72.25 and 81.05.
(282-14*3*6)/(6) -(21-18)
Answer:
2
Step-by-step explanation:
( 282 - 14 ⋅ 3 ⋅ 6 ) / ( 6 ) - ( 21 - 18 )
= 30/( 6 ) - ( 21 - 18 )
= 30/( 6 ) - 3
[tex]=\frac{30}{6} -3[/tex]
= 2
Answer:
[tex]27[/tex]
Step-by-step explanation:
1) Simplify 14 × 3 to 42.
[tex]282 - 42 \times 6 - (21 - 18)[/tex]
2) Simplify 21 - 18 to 3.
[tex]282 - 42 \times 6 - 3[/tex]
3)Simplify 42 × 6 to 252.
[tex]282 - 252 - 3[/tex]
4) Simplify 282 - 252 to 30.
[tex]30 - 3[/tex]
5) Simplify.
[tex]27[/tex]
Therefor, the answer is 27.
HELP ME PLSSSSSSSSSSSSS
What is the missing side length?
Answer:
the answer is 3 miles
Step-by-step explanation:
1 +2 = 3 so 3
solve each equation for given variable
12 - 4i= -8
ANSWER: I = 5
STEP BY STEP EXPLANATION:
HOPE THIS HELPS.
Solve I ready plz I need this one fast
Answer:
the answer is the 3rd one
Step-by-step explanation:
1 3/4 + 1/6 + x = 7 1/2
Peter is overweight. He is 105 kg. His aim is to lose 500 g per week. If he manages this, how many weeks will it be until he is 90 kg?
Answer:
30 weeks
Step-by-step explanation:
Step-by-step explanation:
1 week -500
2 week -1kg
105-90
15
15 .2
30
there fore its take 30weeks to reduce his weight to 90kg
A diver is on a diving board 12 meters above the water. He dives vertically from the board with initial velocity of 4.9 meter/sec. how high will the diver get above the water?
Answer:
13.225 m
Step-by-step explanation:
Given that :
Initial Velocity, u = 4.9m/s
Acceleration due to gravity, a = - 9.8 m/s² (downward)
Distance, S = - 12
According to the motion equation :
S = ut + 0.5at²
S = 4.9t + 0.5(-9.8)t²
S = 4.9t - 4.9t² - - - (1)
At the highest point, v = 0
v² = u + at
0 = 4.9 + - 9.8t
-9.8t = - 4.9
t = 4.9/9.8
t = 0.5s
Put t = 0.5 in (1) above
S = 4.9(0.5) - 4.9(0.5)²
S = 2.45 - 1.225
S = 1.225 m
Total height :
(12 + 1.225) m = 13.225 m
Solve for x, please help.
Answer:
60*
Step-by-step explanation:
because 180 -70 -50=60
Answer:
60°
Step-by-step explanation:
hmmmmmm oh yeah it is 60* I was honna wright 40° Lol
The yearbook club had a meeting. The meeting had 18 people, which is one-third of the club. How many people are in the club?
Answer:
54
Step-by-step explanation:
Number of people in the meeting= 18
Out of this number 1/3 are from the club
Therefore the total number of club members can be calculated as follows
= 1/3 × x= 18
x = 18 × 3
= 54
Hence the number of people in the club is 54
I will mark Brainliest
An example of a rational number is____.
A. negative Start Root 16 End Root
B. Start Root 27 End Root
C. negative Start Root 2 End Root
D. Start Root 57 End Root
Answer:
I think d. Sorry if I am wrong.
Step-by-step explanation:
50 POINTS I WILL MARK BRAINLIEST PLZ HELP ITS TIMED
Clara’s teacher asked her to draw a polygon with vertices (–2, 4), (5, 4), (3, –3), and (–2, 0) and to identify the polygon. Clara drew the polygon below and identified it as a quadrilateral.
On a coordinate plane, a polygon is formed by points (negative 2, 4), (5, 4), (3, negative 3), and (negative 2, 0).
Which explains whether Clara is correct?
Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.
Clara drew the figure with the wrong coordinates, but she correctly identified the four-sided figure as a quadrilateral.
Clara drew the figure correctly, but she should have identified the figure as a pentagon.
Clara drew the figure with the wrong coordinates, and she should have identified the figure as a pentagon.
Answer:
A. Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.Step-by-step explanation:
The figure drawn is attached.
This is a quadrilateral.
Clara did it correctly and named properly.
Correct option is A.
Answer:
a. u welcome
9
Step-by-step explanation:
what is the perimeter of this tile 6in 2in
Answer:
16in
Step-by-step explanation:
Most tiles a quadrilaterals meaning they have four sides, if it is 6in by 2 in, that means tou multiply both by two since there are two of each side length.
6 times 2 is 12
2 times 2 is 4
4 + 12= 16
Answer:
16 in
Step-by-step explanation:
What is the equation of the line that passes through the point (-1,-3) and has a slope of -5
Answer:
5x + y + 8 = 0
Step-by-step explanation:
what does the x=?...
Answer:
3.75
Step-by-step explanation:
By Basic Proportionality Theorem:
[tex] \frac{6}{x} = \frac{8}{5} \\ \\ x = \frac{6 \times 5}{8} \\ \\ x = \frac{30}{8} \\ \\ x = 3.75[/tex]
WHOEVER HELPS AND GETA IT RIGHT I WILL GOVE BRAINLY!!!!!
Answer:
B. {x| -3 < x ≤ 2}
Step-by-step explanation:
The unshaded "O" on "-3" implies that -3 is not included. Which means -3 < x or x > -3.
The shaded "O" on "2" implies that 2 is included, therefore, x is either equal to 2 or less than 2 (x ≤ 2) since the line is towards our left side. This, we would have:
{x| -3 < x ≤ 2}
a) 9V3 –473 + 15 + 2/5
Answer:
the answer is 27v- 2288/5
how many seconds will it take for the dime to hit the ground?
53 sec hope this helps and meybe you could give me a brainlist?
Step-by-step explanation:
Answer:
8 Seconds
Step-by-step explanation:
0= -16t^2 + 1024
1024=16t^2
64=t^2
8= t
Which inequality is FALSE?
A
2/10 > 0.13
B
0.25 > 1/4
C
0.125 < 1/6
D
0.15 < 2/3
Answer:
A is a false equation broooo
Answer:
B, because 0.25 is EQUAL TO 1/4, not greater than
Step-by-step explanation:
A. 2/10 (or 1/5) is equal to 0.2 and 0.2 > 0.13 is correct
B. 1/4 is equal to 0.25, so 0.25 > 1/4 is incorrect
C. 1/6 is equal to 0.166666... and 0.125 < 0.1666 is correct
D. 2/3 is equal to 0.6666... and 0.15 < 2/3 is correct
If money is invested for a short period of time, simple interest is paid using the following formula.
I = Prt
P is the money invested, or principal amount, r is the simple interest rate, and t is the time, in years, the money is invested.
Given P = $2,000, t = 2 years, and I = $280, what is the simple interest rate?
A. 7%
B. 0.7%
C. 8%
D. 0.07%
Answer:
A. 7%
Step-by-step explanation:
Given the following data;
Principal, P = $2,000
Time, T = 2 years
Simple Interest, I = $280
To find the simple interest rate, R?
Mathematically, simple interest is calculated using this formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is simple interest. P is the principal. R is the interest rate. T is the time.Substituting into the equation, we have;
[tex] 280 = \frac {2000*R*2}{100} [/tex]
Cross-multiplying, we have;
[tex] 280 * 100 = 4000*R[/tex]
[tex] 28000 = 4000R [/tex]
[tex] R = \frac {28000}{4000} [/tex]
Simple interest rate, R = 7%
)
Write an exponential decay
equation with a rate of 25% and
an initial value of 6.
Solve the system of linear equations by graphing
Answer:
Place one dot at (0,-2) and another point at (-1,-1) then draw a line through it. Then place a dot at (0,3) and (1,0) And draw a line through those two points. Wherever those two lines intercept will be your answer.
Step-by-step explanation:
Shape A can be transformed to shape B by
a reflection in the x-axis followed by a
6
5
translation
4-
А
3
Find the value of c and the value of d.
2
+
C=
(2)
a
-5
AX
-4
-3
2
-2 - 1
3
B
d =
(1)
2 2
-5
-6
Total marks: 3
Answer:
ask the qustion better plz
Step-by-step explanation:
i don't know sorry
0.5 g of salt is equal to how many milligrams show your work
Answer:
Amount of salt = 500 milligrams
Step-by-step explanation:
Given:
Amount of salt = 0.5 g
Find:
Amount of salt in milligrams
Computation:
1 gram = 1,000 milligrams
So,
Amount of salt = 0.5 x 1,000
Amount of salt = 500 milligrams
help plsssss ayuda pls
Answer:
PERDON POR HACER ESTO
Step-by-step explanation:
NO ENTIENDO
At 186282 miles per second, how far does light travel in a year? Give your answer in miles, but use scientific notation, which expresses a number like 93400000 as 9.34 × 107 (which might appear on your calculator as 9.34 E7 instead). A year is approximately 365.25 days. pleaasseeeeee heeelelpepepel,
Answer:
Use dimensional analysis to answer each of the following questions. To find the distance light travels in a year for part a, convert sec to yr by using unit ratios with min, hr, and days in their denominators. Thus, a light year is approximately 5,874,589,152,000 mi
The number of miles that the light covers in a light year will be 5.89 × 10¹² miles.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
At 186282 miles per second.
We know that in one light year, the number of seconds will be 31.536 × 10⁶.
Then the distance is given as,
186282 = d / (31.536 × 10⁶)
d = 31.536 × 10⁶ × 186282
d = 5.89 × 10¹² miles
The number of miles that the light covers in a light year will be 5.89 × 10¹² miles.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
a classroom is 30 feet wide the ceiling is 10 feet above the floor what is the volume
Answer:
300 sqft
Step-by-step explanation:
30 times ten is 300 and the measure is feet squared
Answer:
9000 ft 3
Step-by-step explanation:
Answer this question please
Answer:
The answer is A
Step-by-step explanation:
Do on the first row, you see 1 tab of 5's
then on the left, you see 1 tab of 3's
So the answer is A!!!
It is estimated that each guest at a party will eat
3/5
pounds of chocolates. How many guest can be
served with 9 pounds of chocolate?