Answer: D
Step-by-step explanation: on desmos you put in f(x)= x^2 then try all the options and see which graph resembles g(x)
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.
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:
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
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]
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
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
a) 9V3 –473 + 15 + 2/5
Answer:
the answer is 27v- 2288/5
)
Write an exponential decay
equation with a rate of 25% and
an initial value of 6.
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
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
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
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:
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!
help plsssss ayuda pls
Answer:
PERDON POR HACER ESTO
Step-by-step explanation:
NO ENTIENDO
solve each equation for given variable
12 - 4i= -8
ANSWER: I = 5
STEP BY STEP EXPLANATION:
HOPE THIS HELPS.
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
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
What is the missing side length?
Answer:
the answer is 3 miles
Step-by-step explanation:
1 +2 = 3 so 3
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%
(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.
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 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:
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
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.
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:
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
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:
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:
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
Solve I ready plz I need this one fast
Answer:
the answer is the 3rd one
Step-by-step explanation: