Answer:
The representative sample contained more girls than boys.
The true representative sample:
The representative sample contained more girls than boys.
The correct option is C.
What is sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of potential experiment results. Depending on the experiment, a sample area could contain a variety of results.
Given:
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on the field trip.
A random sample of students is chosen.
Surveying the random sample produced a representative sample of the population.
The total number of students = 160
The number of girls = 95
The number of boys = 65
Clearly, the number of girls is more than the number of boys.
Therefore, the sample should contain more girls than boys.
To learn more about the sample space;
https://brainly.com/question/28043513
#SPJ3
The expression 3 + 2(x - 5)2
models the height of a ball after X seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball. What is the initial height of the ball?
A. -30 feet
B. -5 feet
C. 3 feet
D. 53 feet
9514 1404 393
Answer:
D. 53 feet
Step-by-step explanation:
The value of the expression when x=0 is ...
3 + 2(-5)² = 3 + 2(25) = 3 +50 = 53
The initial height of the ball is 53 feet.
What is 8 minus a number
8-n
8/n
8n
N/8
Which one
I need help!
Question 1 and 2 have the same questions so HELP!!
Answer:
21.99 or just round to 22
Step-by-step explanation:
Radius is 3.5
Diameter is 7
Circumference is 21.99
Answer:
1st Circle
Radius = 3.5
Diameter = 7
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3.5 = 21.98
2nd Circle
Radius = 9
Diameter = 18
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 9 = 56.52
:DDDDDDDDD
Is (1,2) (1,3) (1,4) a function?
Answer:
yes
Step-by-step explanation:
1÷-½ aswer please!!
Answer:
[tex]( - 2)[/tex]
Step-by-step explanation:
[tex]1 \div - \frac{1}{2} \\ 1 \times - \frac{2}{1} \\( - 2)[/tex]
Hope this helps you.
have a nice day!
A round stained-glass window has a diameter of 12 inches. What is the circumference to the nearest inch? No links.
Answer:
37.68 inches OR about 38 inches
Step-by-step explanation:
To find the circumference from the diameter, you need to multiply the diameter by pie (3.14)
Find the volume.
Pls help!
Answer:
72 in^3
Step-by-step explanation:
Volume: lwh
V = 6 · 3 · 4
V = 18 · 4
V = 72 in^3
If the volume of two similar spheres are 128m^3 and 1458m^3.
1. What is their scale factor? (in a ratio)
2. What is the ratio of their surface areas?
Answer:
ZOOM PLZ COME WE R BORED
MEETING ID 798 4170 2552
PASSWORD:XCNeV3
Step-by-step explanation:
Scale factor is 11.39 and ratio is 729:64
what is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
volume of two similar spheres are 128m³ and 1458m³.
Scale factor= volume of sphere 1/ volume of sphere 2
= 1458/128
= 729/64
= 11.39
and the ratio = 729 : 64
learn more about scale factor here:
https://brainly.com/question/22312172
#SPJ2
he volume of a cylinder varies jointly with the base (area) and the height. The volume is 40inches^3 when the base (area) is 6inches^2 and the height is 20inches. Find the volume of the cylinder (after finding the variation constant) when the base (area) is 8inches^2 and the height is 12inches.
Answer:
Variation factor k = 1/3
New volume when the base (area) is 8inches^2 and the height is 12inches is 32 in3
Step-by-step explanation:
As we know,
The volume of cylinder (V) is given by πr²h
Here πr² = base area and h is the height of the cylinder
V ∞ πr²h
V = kπr²h
Substituting the given values, we get
40 = 6 x 20 x k
40 = 120k and
k = ⁴⁰/₁₂₀
= ¹/₃.
Volume when base area = 8in² and h = 12 inch
V = 8 x 12 x ¹/₃
V = 32in³
This right triangular prism has a base with an area of 15 square feet. The height of the prism is 7 feet. What is V, the volume of the triangular prism?
Answer:
[tex]area = {15}^{2} \\ v = \: l \times b \times h \\ area = l \times b = \\ x \times x = {15}^{2} \\ volume = 15 \times h \\ = 15 \times 7 \\ = {105}^{3} feet[/tex]
Answer:
105
Step-by-step explanation:
its right trust me
but make sure this is the question that you are doing
What is the sum?
46 mins left please help!!!!!
Need help fast please,
Answer:
with?
Step-by-step explanation:
Answer:
I can help you really fast, if you give me something to work on
Step-by-step explanation:
also, my life is blank like this question
I will give the BRAINEST
State how many solutions each equation has.
x2
-100
5x2
1
6x2 + 17 = 11
7 (x² + 6)
42
Answer:
-100x4xx=17xStep-by-step explanation:
goodluck
(8 – 10i) – (-16 + 2i)
Answer:
8-10i - -16+2i= 236
Step-by-step explanation:
I am brainliest
Answer:
-16
Step-by-step explanation:
(8-10i) - (-16+2i)
2i - (-14i)
-16
Someone please help me. I will mark brainliest. I really need help ASAP.
Answer: 38.8
Step-by-step explanation:
use formula C = π * D
Diameter = 6
C = π * 6
C = 18.8495559215 = 18.8
18.8 + 10 + 10 = 38.8
A study examined the effectiveness of an ear-molding technique used to correct ear deformities in newborns without the need for surgery. A plastic mold was placed around the deformed ear shortly after birth for about two weeks. The study reports that 152 of 158 procedures were successful. We would like to estimate with 95% confidence the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction. We can use
Answer:
The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The study reports that 152 of 158 procedures were successful.
This means that [tex]n = 158, \pi = \frac{152}{158} = 0.962[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 - 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.932[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 + 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.992[/tex]
The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).
The 95% confidence interval of the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is; CI = (0.9322, 0.9918)
We want to find confidence interval and the formula is;
CI = p^ ± z√(p^(1 - p^)/n)
We are told that the study reports that 152 of 158 procedures were successful. Thus;
n = 158
p^ = 152/158
p^ = 0.962
Now, we want to find the confidence interval at a 95% confidence level.
The critical z value for 95% confidence level is;
z = 1.96
Thus;
CI = 0.962 ± 1.96√(0.962(1 - 0.962)/158)
CI = 0.962 ± 0.0298
CI = (0.962 - 0.0298), (0.962 + 0.0298)
CI = (0.9322, 0.9918)
Read more at; https://brainly.com/question/17212516
Dr. Victory is a psychologist studying the effects of high-level classes, bullying, and music classes on the anxiety levels of middle school students. He has previously determined that the effects from class levels, bullying experiences, and music classes are independent. It has been determined that the probability that a student is taking a high-level English class is 0.23, the probability that a student has been bullied is 0.36, and 1/3 of students are in music classes.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?
Answer:
a) 0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied
b) 0.12 = 12% probability that a randomly selected student is in a music class and has been bullied
c) 0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class
Step-by-step explanation:
Probabilities of independent events happening together:
The probabilities of independent events happening together is the multiplication of the probabilities of each event happening.
In this question:
0.23 probability that a student is taking a high-level English class.
0.36 probability that a student has been bullied.
1/3 = 0.3333 probability that a student is in music class.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
0.23*0.36 = 0.0828
0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
0.36*1/3 = 0.12
0.12 = 12% probability that a randomly selected student is in a music class and has been bullied
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?
0.23*0.36*1/3 = 0.23*0.12 = 0.0276
0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class
2. Bart and Jimmy's Ice Cream Shop are designing a new logo for their company. The logo is shown
below. What is the area of Bart and Jimmy's new logo?
A 88.26 cm?
B 74.13 cm
C 58.26 cm
D 44.13 cm
HURRY
Answer:
Marie Skłodowska-Curie
Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.
^ po polsku być powinno
Kto Polska?
prove that the points A(1 , -1 ) B(5, 2) C(9, 5) are collinear.
Answer:
AB= [tex]\sqrt(5-1)^2 +(2+1)^2 = \sqrt16+9 =5[/tex]
BC= [tex]\sqrt(5-9)^2 + (2-5)^2 = \sqrt16+9=5[/tex]
AC = [tex]\sqrt(1-9)^2 + (-1-5)^2 = \sqrt64+36 = 10[/tex]
So, AC = AB + BC
A, B, C are collinear points
Step-by-step explanation:
I hope this helps!
On a standardized exam, the scores are normally distributed with a mean of 200 and
a standard deviation of 50. Find the Z-score of a person who scored 140 on the exam.
Answer:
First, compute the z-score:
z = (x-μ)/σ = (650-500)/100 = 150/100 = 1.5
Now look up the percentile for z = 1.5 on a z-score table (http://www.z-table.com/). The percentile, p(z=1.5), is the percent of people who scored 650 or less. The percent who scored more than 650 is 1-p(z=1.5). Multiply that by the 1200 students to get the number who scored more than 650. Round to the nearest whole number (because you can't have a fraction of a person).
For the given data the value of the z score will be 1.5
What is the standard deviation?It is referred to as a measure of data dispersal since it provides information on how widely the data is dispersed.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ stands for the standard deviation
x is the value from the data set
X is the data set mean
n is the number of observations
It is given that, On a standardized exam, the scores are normally distributed with a mean of 200 and a standard deviation of 50.
The Z-score of a person who scored 140 on the exam is as,
z = (x-μ)/σ
z = (650-500)/100
z = 150/100
z = 1.5
Thus, the value of the z score will be 1.5
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ2
Suppose y varies directly with x. Write an equation relating x and y.
y = -22.5 when x = 15
a.
b.
y = -0.75x
2
y=-3
c. y=-1.5x
d. y = 1.5x
Suppose you have 62 feet of fencing to go around a rectangular flower garden. You want
the length to be 9 feet longer than the width, w. What are the dimensions of the flower garden?
Define your variables, write an equation, and solve. (Hint: Draw a rectangle and label all the sides).
What's the width of the rectangle?
And what's the length?
Answer:
Answer is 9 feet = 9 fe 2t
w= 9fe 2t
Step-by-step explanation:
find the correct results.
remember the maths is exact .
1+4=5
2+5=12
3+6=21
5+8=...
9514 1404 393
Answer:
5 + 8 = 45
Step-by-step explanation:
We observe that the sequence of numbers on the left is arithmetic, with each value increasing by 1 from each expression to the next.
Similarly, we observe that the sequence on the right increases by an increasing amount from one number to the next. First differences are 7, 9, suggesting that each successive line in the table will differ by 2 more than the previous two lines did.
Following this pattern, we have ...
4 + 7 = 32
5 + 8 = 45
_____
Additional comment
Here, it seems, the symbol "+" in the expression "a+b" is intended as a stand-in for the function f(a, b). That is, we're given three expressions ...
f(1, 4) = 5
f(2, 5) = 12
f(3, 6) = 21
and asked to predict the value of f(5, 8).
f may be any of a variety of functions. A couple of them are ...
f(x, y) = x^2 +4y -12
f(x, y) = y^2 -2x -9
or ...
f(n, n+3) = n(n+4), which could also be written f(x, y) = x(y+1)
Fill in the missing number 87, 84, 81 —, —-
Answer:
87 , 84, 81, 78, 75
Step-by-step explanation:
it goes down each time by threes
The difference between two numbers is 3. What is the larger number if the smaller number is -4? *
Answer:-1
Step-by-step explanation:
Subtract plus 3
Answer:
-1
Step-by-step explanation:
x-y=3
x—Larger number
y—smaller number
x-(-4)=3
x+4=3
x=–1
HELP ME PLEASE I AM CRYING
Answer:
I thinks is the 4th or the last
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 4340 seats. The students left 2387 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 45%
Step-by-step explanation:
Answer please which number line shows 1/3 and it’s opposite
Answer:
D
Step-by-step explanation:
the first of three parts is what 1/3 is
What is the area of a concrete floor that is 110 feet long and 65 feet wide? The floor area is square feet.
Answer:
7150 square feet
Step-by-step explanation:
The area of a rectangle is the length times the width.
110*65=7150
Please help me!! I don’t understand!!!
Answer:
Ask your John Brown teacher!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation: