Answer:
Boys 4/9 ; 5/9 Girls
Step-by-step explanation
Boys 4:5 Girls
Total pupil = 9
The fraction of boys in the class is 4/9
The fraction of girls in the class is 5/9
The Tennessean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on a variety of current issues. In a recent poll, 762 readers responded to the following question:
"If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass?" Possible responses were Yes, No, or Not Sure. Determine:
a. What was the sample size for this poll?
b. Are the data categorical or quantitative?
c. Would it make more sense to use averages or percentages as a summary of the data for this question?
d. Of the respondents, 67% said Yes, they would want it to pass. How many individuals provided this response?
Answer:
(a) The sample size for this poll is, n = 762.
(b) The data is categorical.
(c) It would make more sense to use percentages as a summary of the data for this question.
(d) Approximately 511 individuals provided the response "Yes".
Step-by-step explanation:
(a)
It is provided that in a recent poll, 762 readers responded to the following question:
"If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass?"
The possible responses were Yes, No, or Not Sure.
So, the sample size for this poll is, n = 762.
(b)
The outcomes of the poll are:
1: Yes
2: No
3: Not Sure
The data is categorical.
Categorical data can take labels such as, Gender (M/F), indicators (0/1) and so on.
(c)
Averages can be computed only for quantitative variable.
So, it would make more sense to use percentages as a summary of the data for this question.
That is, the percentage of people saying Yes, No and Not sure.
(d)
The percentage of people saying Yes is, 67%.
Compute the number of people saying Yes as follows:
[tex]n(\text{Yes})=P(\text{Yes})\times n[/tex]
[tex]=0.67\times 762\\=510.54\\\approx 511[/tex]
Thus, approximately 511 individuals provided the response "Yes".
Written expression for the sum of d and 9
Hey!!
Here's your answer:
Answer:d+9
Hope it will help you....
Good luck on your assignment
The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?
Answer:
The half life of the car is 3.98 years.
Step-by-step explanation:
The value of the car after t years is given by the following equation:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
In which V(0) is the initial value and r is the constant decay rate, as a decimal.
The value of a certain car decreases by 16% each year.
This means that [tex]r = 0.16[/tex]
So
[tex]V(t) = V(0)(1-r)^{t}[/tex]
[tex]V(t) = V(0)(1-0.16)^{t}[/tex]
[tex]V(t) = V(0)(0.84)^{t}[/tex]
What is the 1⁄2-life of the car?
This is t for which V(t) = 0.5V(0). So
[tex]V(t) = V(0)(0.84)^{t}[/tex]
[tex]0.5V(0) = V(0)(0.84)^{t}[/tex]
[tex](0.84)^{t} = 0.5[/tex]
[tex]\log{(0.84)^{t}} = \log{0.5}[/tex]
[tex]t\log{0.84} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.84}}[/tex]
[tex]t = 3.98[/tex]
The half life of the car is 3.98 years.
find an equation equivalent to r = 10 sin in rectangular coordinates
Answer:
x²+(y-5)²=25
Step-by-step explanation:
To convert polar into rectagular
[tex]->r=\sqrt{x^2+y^2} =>r^2=x^2+y^2\\[/tex]
also, y=rsin θ => sin θ=y/r
r= 10sinθ
r=[tex]\frac{10y}{r}[/tex] => r²=10y
therefore, x²+y²-10y=0
By completing the squares on y²-10y gives
x²+(y-5)²=25
which is the equation of the circle.
This is the Cartesian equation of a circle with center ( 0, 5)
and radius, r=5
Excuse me can you help me to resolve this (×+5) (4x-3)=0
Answer: x = 3/4 x = -5
Step-by-step explanation:
x+5=0
x=-5
4x-3=0
Add three to both sides
4x = 3
x=3/4
Pllssss I need help
Answer:
see below
Step-by-step explanation:
The sides of the triangle that are given in relation to x are the Adjacent side (10) and the Hypotenuse (15). The mnemonic SOH CAH TOA tells you the trig function that uses sides A and H is the Cosine function.
Cos = Adjacent/Hypotenuse
cos(x) = 10/15
what is the quotinent
Answer:
[tex]\dfrac{3(y-5)}{2}[/tex]
Step-by-step explanation:
[tex]\dfrac{2y^2-6y-20}{4y+12}\div \dfrac{y^2+5y+6}{3y^2+18y+27}=\\\\\dfrac{2(y-5)(y+2)}{4(y+3)}\cdot \dfrac{3(y+3)^2}{(y+3)(y+2)}=\\\\\dfrac{6(y-5)(y+2)(y+3)(y+3)}{4(y+2)(y+3)(y+3)}=\\\\\dfrac{3(y-5)}{2}[/tex]
Hope this helps!
6 more than a number is 36.
Answer:
30
Step-by-step explanation:
30+6= 36
36-6=30
Lets use n to represent the number.
6 more than a number: n + 6
is 36: = 36
Put the equation together:
n + 6 = 36
Solve for n.
n + 6 = 36
~Subtract 6 to both sides
n + 6 - 6 = 36 - 6
~Simplify
n = 30
Best of Luck!
Can someone help me with is
Answer:
It is not equivalent
Step-by-step explanation:
Because the first expression simplified is 3x with the power of 9, and the first expression simplifies to x with a power of 9.
Answer:
No, they are not equivalent.
Step-by-step explanation:
In the case of the first expression: x³ * x³ * x³, you will solve the power first, before multiplying the whole numbers.
However, in terms of the second one, you are multiplying the powers first, and then solving for the power.
Take for example, x = 2. Plug in 2 for x in the expressions given:
x³ * x³ * x³ = 2³ * 2³ * 2³ = 8 * 8 * 8 = 64 * 6 = 512
However,
2^(3 * 3 * 3) = 2^(27) = 134,217,728
~
Riley is saving up to buy a new television. She needs a total of $1,397.68. Riley has saved $200.08 already and earns $79.84 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answer:
14
Step-by-step explanation:
i uses a calculator and kept adding up
Solve 5(x − 8) = 50.
Answer:
x = 18
Step-by-step explanation:
5(x - 8) = 50
Divide both sides by 5.
x - 8 = 10
Add 8 to both sides.
x = 18
Answer:
x=18
Step-by-step explanation:
5(x − 8) = 50.
5x-40=50
+40 +40
5x/5=90/5
x=18
The coach of a college basketball team records the resting pulse rates of the team's players. A confidence interval for the mean resting pulse rate of all collegians based on these data is of little use because __________.
A) the sample size is small, so the margin of error will be large.
B) the members of the basketball team can't be considered a random sample from the entire collegiate population.
C) many of the students on the team may refuse to respond.
D) the coach has sampled the entire population so there is no need for inference.
Answer:
B) the members of the basketball team can't be considered a random sample from the entire collegiate population.
Step-by-step explanation:
The coach is trying to estimate a parameter of a population (the mean resting pulse rates of alla collegians) from a sample statistic (the mean resting pulse of the basketball team's players).
The confidence interval for the parameter is of little use as the sample of team players is not representative of the population of collegians. The sample can not be considered random. Then, the estimation of the parameter will be biased.
Based on the two articles you have read, how might Google's mission to give
everyone access to as much information as possible make it easier to violate
a person's Fourth Amendment rights?
A. A person's personal information would be almost impossible to
find
B. People would be able to find information faster
C. The government might have access to a person's private
information making it easier to conduct warrantless searches and
seizures
O D. Business would be able to place ads relevant to what person typed
in a search engine,
The article shows that it may make it easier for the government to have access to a person's private information and to conduct unwarranted searches and seizures.
What are a person's Fourth Amendment rights?A person's Fourth Amendment rights is related to the right of an individual to be protected from unwarranted searches and seizures by the government.
According to the articles, Goo_gle's mission is to give
everyone access to as much information as possible.
This however would make it easier for a person's personal belongings or private information to be a target of government officials.
Therefore, Goo_gle's mission may make it easier for the government to have access to a person's private information making it easier to conduct unwarranted searches and seizures.
Learn more about Fourth Amendment rights at: https://brainly.com/question/17104412
3. If a ladder is x feet long, how high up a wall can it safely reach?
Answer:
xsin∅
Step-by-step explanation:
If the ladder is x foot long, and it can safely make a maximum angle ∅ with the floor, then, the maximum height it can reach will be xsin∅
Answer:
Following the 4 to 1 ratio ladder rule
Step-by-step explanation:
set the base 1 foot out from the wall for every 4 feet it reaches up.
Please help quickly !!!!!!
Answer:
You should be able to figure this out from the explanation below.
Step-by-step explanation:
When two lines cuts across each other they form.what we call.vertically opposite angles so from the figure above, we can say:
Look at the diagram below for more understanding of the concept.
Answer: 77 degrees
Step-by-step explanation:
Use Theorem "measure of the angle is the average of the measures of the arc
(a=b+c/2)
a=x
b=76
c=78
Set up your equation, X=76+78/2
=77
Hope this heeelps~!!
-Michiko
what is the mean absolute deviation of 10, 5, 7, 10, 19, 32, 25?
Answer:
8.4897959183673
Step-by-step explanation:
Give brianliest and 15 points
Answer:
The correct answer is C
Step-by-step explanation:
X+U= [-1, -1] on the top and [0, -23/4] on the bottom
Therefore A-(X+U) gives you [5/3, 7] on the top and [4, 5] on the bottom
Hope this helps! :)
Answer:
Danke Shun!!!!!
Step-by-step explanation:
Oh mein Gott, danke für die kostenlosen Punkte, Kumpel !!
The initial freshman class at a college is 10% smaller 1
than last year's class. But then during the first week of classes, 20 more
students enroll. If there were 950 students in last year's freshman class,
how many students are enrolled in this year's freshman class after the first
week of classes? *
Answer:
875 students are enrolled in this year's freshman class after the first week of classes.
Step-by-step explanation:
Last year, there were 950 students.
This year, the class is 10% smaller. So it's number of students is 100 - 10 = 90% of last year.
0.9*950 = 855
Initially, this year class had 855 students.
During the first week, 20 enrolled.
855 + 20 = 875.
So
875 students are enrolled in this year's freshman class after the first week of classes.
what is the volume of a cone with a diameter of 30 feet and a hight of 60 feet
Answer:
4500[tex]\pi[/tex] [tex]ft^{3}[/tex]or 4712.39[tex]ft^{3}[/tex]
What we need to know: The formula for the volume of a cone is: [tex]V=\pi r^{2} \frac{h}{3}[/tex]
So we are solving for V
Step-by-step explanation:
1) Radius is half of diameter r=30/2 thus, your radius is 15
2) you then have all your variables so you can start plugging values into your equation:
r=15 h=60
[tex]V=\pi 15^{2} \frac{60}{3} \\V=\pi (225)*(20)\\V=\pi(4500) \\V= 4500\pi[/tex]
This would be your exact answer but if you are solving for a rounded answer it would be
V~4712.39[tex]ft^{3}[/tex]
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
B
Step-by-step explanation:
The -1/3 stretched it and reflect it to x axis, then the 4 moved it to the left
Point A is at (-1, -9) and point M is at (0.5, -2.5).
Point M is the midpoint of point and point B.
What are the coordinates of point B?
Answer:2,4
Step-by-step explanation:
Which inequality has -25 in its solution set?
A. y + 11 > -9
B. y - 17 Less-than-or-equal-to -46
C. 30 Less-than-or-equal-to y + 5
D. y + 20 > -30
Answer: The answer is D: y + 20 > -30
Step-by-step explanation:
I got this right on edgen.
Have a good day!! #BLM <3
what is the correlation coefficient of the linear fit of the data shown below, to the nearest hundreth
Answer:
theres no picture.
Step-by-step explanation:
Answer:
C) -0.89 i think
Step-by-step explanation:
90 is 50% of what number? 180 120 45
So the right answer is 180
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
50%=0.5
Y x 0.5 = 90
We undo the equation and divide instead of multiply
90 / 0.5 = 180
Double check by changing Y with 180
180 x 0.5 = 90
180 is the answer
Hope this helps
Step-by-step explanation:
Susan paid $240 to have her house decorated. The materials used to decorate the house coast $115, and service was charged at $5 an hour. How many hours was the house worked on?
Answer:
[tex] 240 =5x +115[/tex]
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
[tex] 240-115= 5x[/tex]
[tex] 125 = 5x[/tex]
And now we can divide both sides by 5 and we got:
[tex] x= 25[/tex]
So then the number of hours spent to decorate the house are 25
Step-by-step explanation:
Based on the information given we can model this function with this formula:
[tex] y = mx+b[/tex]
Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:
[tex] 240 =5x +115[/tex]
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
[tex] 240-115= 5x[/tex]
[tex] 125 = 5x[/tex]
And now we can divide both sides by 5 and we got:
[tex] x= 25[/tex]
So then the number of hours spent to decorate the house are 25
What is equalivant to 5+4z+13
Answer:
[tex] = 4z + 18[/tex]
Step-by-step explanation:
[tex]5 + 4z + 13 \\ = 4z + 18[/tex]
What is the quotient of the division below?
3387-
45
46
48
49
Answer:
3199
Step-by-step explanation:
3387 – 45 – 46 – 48 – 49 = 3199
Answer:
It is 48
Step-by-step explanation:
trust me I did the test.
can you put this in order 2, 10, 9, -10, -9, -8, -7, -6, -5 -4, 0,
ORDER FROM LEAST TO GREATEST:
-10, -9, -8, -7,-6, -5, -4, 0, 2, 9, 10.
Hey there!
When we have negative numbers, we might count like this: ....-5,-4,-3,-2,-1,0,1,2,3....
As you can see, the negative number is known as greater if it is closer to zero, so -1 is greater than -100.
With this information, let's order these numbers! :)
-10,-9,-8,-7,-6,-5,-4,0,2,9,10
I hope that this helps!
Which expression can be used to find the surface area of the following rectangular prism?
Choose 1 answer:
A
10+10+6+6
(Choice B)
B
10+6
(Choice C)
C
15+15+10+10+6
(Choice D)
D
15+15+10+10+6+6
Answer:
The answer is D.
Step-by-step explanation:
Given that the formula of surface area of rectangular prism is S.A = 2(length×width) + 2(length×height) + 2(width×height). Then substitute the values into the formula :
Let length = 5,
Let width = 3,
Let height = 2,
[tex]s.a = 2(5 \times 3) + 2(5 \times 2) + 2(3 \times 2)[/tex]
[tex]s.a = 2(15) + 2(10) + 2(6)[/tex]
[tex]s.a = 15 + 15 + 10 + 10 + 6 + 6[/tex]
Answer:
The answer is D
Step-by-step explanation:
The graph shows the relationship between the number of concert tickets
purchased and the total cost for the tickets. Write an equation for this
relationship.
Answer:
Step-by-step explanation:
y = 20x