Answer:
C
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.
cuánto es 1+1 = es dos jaja
Answer:
El raigañu cuadráu corresponder cola radicación d'índiz 2 o, equivalentemente, cola potenciación d'esponente 1/2.
Cualquier númberu real non negativu {\displaystyle x}x tien un únicu raigañu cuadráu positiva o raigañu cuadráu principal[2] y denotada como {\displaystyle {\sqrt {x}}}{\displaystyle {\sqrt {x}}} onde {\displaystyle {\sqrt {\;}}}{\displaystyle {\sqrt {\;}}} ye'l símbolu raigañu y {\displaystyle x}x ye'l aniciando.
Cuando se riquir denotar dos raigaños cuadraos una negativa, {\displaystyle -{\sqrt {x}}}{\displaystyle -{\sqrt {x}}}, y otra positiva, {\displaystyle {\sqrt {x}}}{\displaystyle {\sqrt {x}}}, suelen denotarse curioso como {\displaystyle \pm {\sqrt {x}}}{\displaystyle \pm {\sqrt {x}}} o bien como {\displaystyle \mp {\sqrt {x}}}{\displaystyle \mp {\sqrt {x}}} según l'orde precisáu.
El conceutu de raigañu cuadráu puede estendese a cualquier aniellu alxebraicu, asina ye posible definir el raigañu cuadráu d'un númberu real negativu o'l raigañu cuadráu de delles matrices. Nos númberos cuaterniónicos los reales negativos almiten un númberu infinitu de raigaños cuadraos, sicasí'l restu de cuaterniones distintos de cero almiten solu dos raigaños cuadraos. Nel aniellu non conmutativu de les funciones reales de variable real cola adición y la composición de funciones si fºf = g, puede plantegase que f ye la "raigañu cuadráu" de g.[3]
Step-by-step explanationY segun todos mis calculos es 2 :
(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.
Sarah's fish tank holds 32 litters of water. Sarah uses a 4 liter container to fill the tank. how many times will Sarah need to fill the 4 liter container in order to fill the fish tank.
Answer:
8 times,
Step-by-step explanation:
4 x 8 is 32
Damian went shopping for a new pair of sneakers. Sales tax where he lives is 5.5%. The price of the pair of sneakers is $48. Find the total price including tax. Round to the nearest cent.
12.6d07
Find the probability.
In one town, 47% of all voters are Democrats. If two voters are randomly selected for a
survey, find the probability that they are both Democrats.
Select one:
a. 0.221
b. 0.940
c. 0.470
d. 0.216
Answer:
A
Step-by-step explanation:
The fact you need to use is 47%
47/100 * 47/100 = 2209 / 10000 = 0.221
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:
Out of these, which is not an inequality?
a. 435 ≥ 5p + 4
b. g - 7 < 100
c. 18x + 9y
d. a > 6b
Answer:
C. 18x+9y
Step-by-step explanation:
Answer:
I think its the third one, C. Hope this helps!
a) 9V3 –473 + 15 + 2/5
Answer:
the answer is 27v- 2288/5
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!!!
A 0.025 kg bullet enters a 2.35-kg watermelon with a speed of 217 m/s
and exits the opposite side with a speed of 109 m/s. If the melon was
originally at rest, then what speed will it have as the bullet leaves its
opposite side?
Answer:
1.15m/s
Step-by-step explanation:
Given data
m1=0.025 kg
m2= 2.35kg
u1= 217 m/s
v1= 109 m/s
u2= 0
v2=???
Applying the law of conservation of linear momentum
m1u1+m2u2=m1v1+m2v2
substitute
0.025*217+2.35*0= 0.025*109+2.35*v2
5.425= 2.725+ 2.35v2
5.425-2.725=2.35v2
2.7=2.35v2
divide both sides by 2.35
v2= 2.7/2.35
v2=1.15 m/s
Hence the speed of the watermelon will be 1.15m/s
(10 Points) Tanya is visiting New Orleans, and she wants to bring back T-shirts for all her friends. She’s
found T-shirts she likes for $5, $10, and $15. She has budgeted $40 for the gifts. make a systematic list
to answer the following questions.
(i) List how many ways she can spend exactly $30 if she is determined to buy one or more than one
$15 T-shirts?
(ii) List how many ways she can spend exactly $25.
Help its due in 1 hour plzzz!!!!!!! can you show your work to
Answer:
ok.
1. Tanya spends exactly $30.
She can spend $15.00 each for 2 t shirts and spend $30.00
15 x 2 = 30
She can buy one $15.00 t shirt, one $10.00 t shirt and one $5.00 t shirt for exactly $30.00.
15 + 10 + 5 = 30
She can buy one $15.00 t shirt, and three $5.00 t shirts for exactly $30.00
15 + 5 + 5 +5 = 30
2. To spend exactly $25.00, Tanya can spend it :
5 of the $5.00 t shirts
5 x 5 = 25
2 of the $10 t shirts and one of the $5 t shirts
10 + 10 + 5 = 25
1 of the $15 t shirts and one of the $10 t shirts
15 + 10 = 25
1 of the $15 t shirts and 2 of the $5 t shirts
15 + 5 + 5 = 25
A sample of customers from Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87.A sample of customers from Wellington Savings and Loan shows an average account balance of $8350 with a standard deviation of $1800.Which statement about account balances is correct?A) Barnsboro Bank has more variation.B) Wellington S&L has more variation.C) Both have the same variation.
Answer:
A) Barnsboro Bank has more variation.
Step-by-step explanation:
Coefficient of Variation:
The coefficient of variation is given by the division of the standard deviation by the mean.
In this question:
The account balance with the highest coefficient of variation has more variation.
Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87.
So
[tex]cv = \frac{87}{315} = 0.2762[/tex]
Wellington Savings and Loan shows an average account balance of $8350 with a standard deviation of $1800.
So
[tex]cv = \frac{1800}{8350} = 0.2156[/tex]
Barnsboro Bank has the higher cv, so more variation, and the answer is given by option A.
Martha jogged 7.8 miles. Erica jogged 0.5 times as far. How dar did erica jog
Answer: 3.9
Step-by-step explanation:
7.8 miles x 0.5 = 3.9 miles
can somebody solve this question for me and explain it
Answer:2
Step-by-step explanation:
Which is the correct calculation for the volume of the prism??
3units
5units
4units
3+5+4=12units3
3(4)+6=17units3
3(4)=12units3
3+(5)(4)=60units3
Answer:
3+5+4=12units3
Step-by-step explanation:
A prism has a length of 3 units, height of 5 units, and width of 4 units. 3 + 5 + 4 = 12 Units cubed 3(4) + 5 = 17 Units cubed.
Answer:
He is wrong its really 60 units
Step-by-step explanation:
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
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:
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
un cuerpo es dejado caer desde una altura de 3000 centímetros
Answer:
what is your question
Step-by-step explanation: am not trying to steal ur points
What is the missing side length?
Answer:
the answer is 3 miles
Step-by-step explanation:
1 +2 = 3 so 3
)
Write an exponential decay
equation with a rate of 25% and
an initial value of 6.
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
me pueden ayudar a encontrar el promedio de Andrea
Español: 8.5
Matemáticas:7.0
Ciencias:9.5
Geográfia:8.0
Formación C. E. :10
Artísticas : 9.5
Educación Física: 9.0
Answer:
primero sumas todas las calificaciones
posteriormente las divedes entre las materias que son y listo sacas su promedio
espero y te ayude
then 42 letter Pat rotational Athlone for tea towel
A boat moves at a rate of 11 mph in Stillwater if the rivers current flow at a rate of 2 mph how long does it take the boat to travel 26 miles upstream
Answer:
2 hours 52 minutes
Step-by-step explanation:
11-2=9
26/9=2.87
help plsssss ayuda pls
Answer:
PERDON POR HACER ESTO
Step-by-step explanation:
NO ENTIENDO
2) James paid x dollars plus 3% sales tax for a pen. Write an algebraic Expression for the amount of
money he paid for the pen.
3) Seven watermelons each weighs w pounds a basket can hold 11 pounds less than two-fifths of the
weight of the watermelons. What weight can the basket hold?
(US)
Text Predictions: On
100%
Algebraic expression for #3
Answer:
What’s the answer?!? Ok
Step-by-step explanation:
Which of these are
AAS, HL, SAS, SSS OR ASA
Answer:
1. HL
2. ASA
3. AAS
4. SSS
Step-by-step explanation:
1. The hypotenuse and right angle of one triangle is congruent to the other triangle's hypotenuse and right angle, proving the hypotenuse-leg congruency theorem (HL).
2. The two angles and their included side (the side between the two angles) of a triangle match those of the other triangle, proving the angle-side-angle congruency theorem (ASA).
3. The measures of the side and the two adjacent angles of a triangle are given. They are congruent to the corresponding parts of the other triangle, proving the angle-angle-side congruency theorem (AAS).
4. All side lengths of one triangle are given, matching the corresponding sides of the other triangle. This proves the side-side-side congruency theorem (SSS).
I hope this helped!
solve each equation for given variable
12 - 4i= -8
ANSWER: I = 5
STEP BY STEP EXPLANATION:
HOPE THIS HELPS.