A 95 percent confidence interval for the proportion of the population of voters who are in favor of the bond issue is (0.2301, 0.2759).
How to find a confidence interval for a population proportion?A part of a population with a particular attribute, expressed as a fraction, decimal or percentage of the whole population. For a finite population, the population proportion is the number of members in the population with a particular attribute divided by the number of members in the population.A proportion is a part, share or number considered in comparative relation to a whole. It can be equal to 0, 1 or any value between 0 and 1. It can be expressed as a number or percentage. One example in official statistics would be the proportion of the Canadian population who lives in a given province.p′ = x / n where x represents the number of successes and n represents the sample size. The variable p′ is the sample proportion and serves as the point estimate for the true population proportion.A population proportion is a fraction of the population that has a certain characteristic. For example, let's say you had 1,000 people in the population and 237 of those people have blue eyes. The fraction of people who have blue eyes is 237 out of 1,000, or 237/1000.(0.2301, 0.2759).
This interval is calculated using the following formula:
(sample proportion - margin of error, sample proportion + margin of error)
Where the sample proportion is the number of favorable voters (100) divided by the sample size (432), and the margin of error is calculated using the standard error and a critical value from a normal distribution table.
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What is the slope of y = 4x + 7?
Answer:
slope = 4
Step-by-step explanation:
Given equation
y = 4x + 7
Comparing the given equation with y = mx + c
so
Slope (m)
= 4
Hope it will help :)❤
Cedro bought five games and eight songs for a total cost of $22. 87. Benita bought seven songs and four games for a total cost of $18. 89. The cost of their purchases can be represented by the following equations: 5g + 8s = 22. 87 and 7s + 4g = 18. 89 where g is the cost of each game and s is the cost of each song purchased. What was the cost of each game and each song purchased?
The purchasing cost of each game costs $1.55 and each song costs $1.89 according to the given equation.
What are variables?A variable is a symbol or character that represents a value or set of values in mathematics and computer programming that can change and take on different values depending on the context.
The given problem can be solved using a system of equations.
The first formula, 5g + 8s = 22.87, represents the total cost of games and songs purchased by Cedro.
The second formula, 7s + 4g = 18.89, represents the total cost of games and songs purchased by Benita.
5g = 22.87 - 8s
g = (22.87 - 8s)/5.
We can now substitute this expression for g into the second equation and solve for s. So we have:
7s + 4((22.87 - 8s) / 5) = 18.89
On expanding and solving this equation for s we get:
7s + (91.48 - 32s) = 18.89
32s + 7s = 73.59
39s = 73.59
s = 1.89
By substituting the value of s into the equation 5g = 22.87 - 8s gives
5g = 22.87 - 8(1.89)
5g = 22.87 - 15.12
5g = 7.75
g = 1.55
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Factor expression 12p-28 factored using GCF is?
Answer:
4(3p - 7)
Step-by-step explanation:
First find the factors of 12 and 28:
12: 1, 2, 3, 4, 6, 12
28: 1, 2, 4, 7, 28
Notice any common factors: 1, 2, 4
Now, out of these factors, 4 is the GCF since it is the greatest common factor, so divide 12 and 28 by 4:
12/4 = 3. 28/4 = 7.
Hence, 12p-28 = 4(3p - 7)
What is the coefficient in the following expression
What is the sum of 4 3/4 and 5 2/3
Answer:
10 and 5/12 is the answer
Step-by-step explanation:
show your work
4+3/4+5+2/3
4+5=9
3/4+2/3=?
9/12+8/12=17/12
17/12+1 and 5/12
= 9+ 1/5/12 = 10 ans 5/12
Is 9 a positive number?
Yes, 9 is a positive number because 9 is a natural number and also we use 9 in our daily life counting problems also.
Let's first attempt to understand what numbers are.
A number is an arithmetic value that is computed and used to represent a quantity. Numbers are represented in writing by symbols like "3," which are numerical symbols. A number system is a methodical way of employing digits or other symbols to represent numbers. The numerical system is a useful set of numbers that reflects the mathematical and algebraic structure of the number. provides a typical illustration.
Positive numbers Any number that represents something other than zero is considered to be positive. When referring to the amount of money in your bank account, a positive figure would undoubtedly make you feel good as well.
So 9 is a positive number.
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What is the slope of the line?
Answer:
1/2
Step-by-step explanation:
Using rise over run, you get 1/2. Hope this helps :), if you need the slope-intercept equation (y=mx+b), it's y=1/2x+0
Can someone help me out my grade are bad
Answer:
i think you plot point -13
Step-by-step explanation:
let me know if this is incorrect
HEEELLLLP MEEEEE PLEASEEEE
The positive value of the distance between the two objects
is [tex]r = +\sqrt \frac{GM_1M_2}{F_g}[/tex].
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, The formula to calculate the gravitational force between two objects
is [tex]F_g = \frac{GM_1M_2}{r^2}[/tex] where r is the distance between the objects M is the individual masses and G is the gravitational constant.
Solving for r would result in two values one positive and one negative and distance can not be negative so we want the positive value.
[tex]F_g = \frac{GM_1M_2}{r^2}[/tex].
[tex]r^2 = \frac{GM_1M_2}{F_g}[/tex].
[tex]r = \pm\sqrt \frac{GM_1M_2}{F_g}[/tex].
[tex]r = +\sqrt \frac{GM_1M_2}{F_g}[/tex].
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You have just received your first paycheck of $4,400 from your new job. You visit the dealership with your friend in search of a car. You see a a used car for $4000. The manager tell you that he will give you a discount of 50 percent. When you get home, your parents tell you that they will pay 50 % of the remaining balance.
You are excited when your friend tell you that you will get the car for "free". You will not have to pay any of your own money for the car?
Answer the questions below by showing your work for each question. Answer must be in full sentence.
a) Is your friend correct in assuming that you will not have to pay any of your own money for the car? Why or why not. Proof it.
b) How much if any of your own money will you have to pay for the car?
Skip to navigation
Pls help me
Answer: see below...
Step-by-step explanation:
a) no: 50% of 4,000 is 2,000. 50% of 2,000 is a 1,000. So the car is not “free”, you will have to pay a $1,000.
b) $1,000
Interpreting Graphs-DeltaMath Interpret the graph of a Function
The function is (linear, or nonlinear). The function is negative where x (<, or >) (any number) and where x (<, or >) (any number). There (is, or isn't) an extrema. The maximum is located at x=(any number). As the x-value (increases, or decreases) the y-value (increases, or decreases).
Everything in the parenthesis is the drop down menus or pick a number off of the graph.
The function in the attached graph is nonlinear
The function is negative where x < 0 and where x > 0.
There is an extrema.
The maximum is located at x = 0.
As the x-value decreases the y-value decreases for x < 0
As the x-value increases the y-value decreases for x > 0
How to determine the characteristics of the functionThe function is not a straight line graph, because of this, it is a non linear function
The extrema refers to points of maximum or minimum values. The function on the graph has a maximum value at (0, 0)
The end behavior of the function is described as
x ⇒ ∞ f(x) ⇒ - ∞
x ⇒ -∞ f(x) ⇒ -∞
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which equation has two real solutions?
a. x^2=-100
b. 5x^2=1
c. 6x^+17=11
d. 7(x^2+6)=42
Answer:
b
Step-by-step explanation:
5x^2 =1
x^2=1/5
x= root 1/5
x= -root5/5 x=root5/5
Answer:
[tex]B) 5x^2=1[/tex]
Step-by-step explanation:
Option B has two real solutions.
hope it helps...
A carpet, measuring 4m by 2. 5 m, cost $86. Find the cost of a carpet of the same quality, measuring 5m by 3m.
The cost of a carpet of the same quality, measuring 5m by 3m is $129.
We can use the unitary method to solve this problem. The unitary method is a technique used for solving a problem by first finding the value of a single unit, and finding the necessary value by multiplying the single unit value.
In this question, it is given that a carpet measuring 4m × 2.5m costs $86. That means the 10m² area of carpet costs $86 if we divide 10 by both the cost and area of the carpet we will find that, 1 m² area of carpet will cost $8.6. So the cost of a carpet of 5m × 3m will be the area of the carpet multiplied by the cost of the carpet per 1 m² i.e, 15m² of carpet will cost $8.6 × 15 which is equal to $129.
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The price of a notebook has risen to $3.80 today. Yesterday's price was $3.30 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
The percentage increase in the price of the notebook is 15%.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100.
The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Finding the increase in the price of the notebook:
$3.80 - $3.30 = $0.50
Dividing the increase by the original amount:
0.50 / 3.30 = 0.1515
To change to a percent multiply by 100 and round off to significant numbers:
0.1515 *100 = 15.15% or, 15%.
Thus, the percentage increase in the price of the notebook is 15%.
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divide using long division
When 392,196 is divided by 87, the answer obtained using long division is 4,508.
What does math's long division mean?The mathematical procedure for splitting big numbers into several smaller groups or sections is known as long division. The dividend is the number we divide into smaller groups, while the divisor is the number through which we divide. Difficulty difficulty can be solved by breaking it down into manageable parts.
According to the given information:Dividend : 392,196
Divisor: 87 (number that divides)
39 / 87 = 0
392 / 87 = 4 (87x 4 = 348) - 4 is the first digit of the result
392 - 348 = 44 (remainder)
441 (next digit is one) / 87 = 5 (87x 5= 435) - 5 is the second digit
441-435 = 6 (remainder)
69 / 87 = not possible so add a 0, which is the third digit
696 / 87 = 8 (87x 8 = 696)
696- 696 = 0 (not remainder)
When 392,196 is divided by 87, the answer obtained using long division is 4,508.
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I understand that the question you are looking for is:
392,196 divided by 87 (Using long division)
help math 20 points plz help help
Answer:
first number: x axis
second number: y axis
a line or point can be formed? (not sure what your options are)
Answer:
Dude this is so easy
The answer for the fill in the blank is x the answer to second fill in the blank is y the last answer is a rectangle.
I can't help you with the coordinate plane it hard to see and can't interact with it but add me on discord and I will tell you its Darknight #9527
Step-by-step explanation:
15 points! Pls help me
Answer:
q = 22
Step-by-step explanation:
these angles form a straight line, therefore their sum is 180
7q - 46 + 3q+6 = 180
10q - 40 = 180
10q = 220
q = 22
i need help with this please
Mr. Johnson needs to determine how many square meters of grass they need to buy for their yard.
2 m
5 m
9 m
10 m
How much grass will he need to buy to cover his yard?
Answer:
Amount of grass needed (In square meter) = 34 meter²
Step-by-step explanation:
Divide given shape into rectangle and trapezium
Given:
Width of rectangle = 2 m
Length of rectangle = 5 m
Height of parallelogram = 9 - 5 = 4 m
Base of parallelogram = 10 m
Opposite site of parallelogram = 2 m
Find:
Amount of grass needed (In square meter)
Computation:
Amount of grass needed (In square meter) = Area of rectangle + Area of parallelogram
Amount of grass needed (In square meter) = (l x b) + (1/2)(sum of parallelogram)(height)
Amount of grass needed (In square meter) = (5 x 2) + (1/2)(2 + 10)(4)
Amount of grass needed (In square meter) = 10 + (1/2)(12)(4)
Amount of grass needed (In square meter) = 10 + 24
Amount of grass needed (In square meter) = 34 meter²
the mean of six numbers is 12 five of the numbers are 11 7 21 14 and 9 calculate the six numbers
Answer:
sixth number is 10
Step-by-step explanation:
(11 + 7 + 21 + 14 + 9 + x) / 6 = 12
(62 + x) / 6 = 12
cross-multiply to get:
62 + x = 72
x = 10
The angle measurements in the diagram are represented by the following expression
Answer:
A=B(alternate angle r equal)8x-10=3x+908x-3x=90+105x=100x=100/5x=20hope it helps.
The sum of an integer and seven times next consecutive odd integers -26 find the value of the lesser integer
Answer:
-5
Step-by-step explanation:
Let n = an integer
Let (n+2) = the next consecutive odd integer
n + 7( n + 2) = -26 Distribute the 7
n + 7n + 7(2) = -26
n + 7n + 14 = -26 Combine like terms
8n +14 = -26 Subtract 14 from both sides
8n + 14 - 14 = -26 -14
8n = -40 Divide both sides by 8
n = -5
The next consecutive odd integer would be -3
Consecutive just means the next number.
Can Sombody please help real fast?
Answer:
look at the picture I sent
Out of 32 student, 18 voted for Christian as president of the students council. If there are 224 students how many students voted for Christian
Answer:
126
Step-by-step explanation
Do this pls 35 points
Answer:
x = 68
Step-by-step explanation:
If you look at the triangle properly, it is a isosceles triangle where two legs are equal to each other.
The answer for x will be:
56 + 56 + x =180
112 + x = 180
x = 68
any and all help is appreciated, brainliest will be given ! :)
Answer:
x = 16±2√94 over 3
Step-by-step explanation:
Move terms to the left side.
0 = -6x² + 64x + 80
- ( -6x²+64+80) = 0
Distribute
- ( - 6x²+64x+80) = 0
6x² - 64x - 80 = 0
Common factor
6x² - 64x - 80 = 0
2 (3x²-32x--40) = 0
Divide both sides by the same factor
2 (3x²-32x--40) = 0
3x² - 32x - 40 = 0
Use the quadratic formula (Not explainin this, I forgot this one.)
Simplify
1.Evaluate the exponet
2.Mulitply the numbers
3.Add the numbers
4.Evaluate the sqaure root
5.Mulitply the numbers(Do this 2 more times.)
x = 32±4√94 over 6
Separate the equations
to solve for the unknown varible, separate into two eqautions: one with a plus and another with a minus.
Solve
Rearrange and isolate the varible to find each solution.
25 < u - 10
solve for u pls help
Answer:
35 < u
Step-by-step explanation:
25 < u - 10
25 + 10 < u - 10 + 10
35 < u
someone answer this T-T
x=16
Step-by-step explanation:
A straight angle is 180°
you get 180°- 62°=a
then You add up a and 46=b
lastly we know that a triangle's angle is 180° so we get 180°- b
tYou should try it yourself
Seventh grade
>
R. 4 Evaluate linear expressions UG6
Evaluate the expression for c = 2.
40 - 7 =
Submit
The answer to linear expression is 233.
A linear expression is defined as an algebraic statement where each term is either a constant or a variable raised to the first power.
We have to Simplify linear expressions in the process of writing linear expressions in their way and simplest forms such that the value of the original expression is maintained.
There are a few steps to follow when we want to simplify expressions
The first step is to eliminate the brackets by multiplying the factors if there are any.Add and subtract the like terms.Given equation is C= 240-7
C= 240-7=233
The answer to the given expression is 233.
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Look at photo
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