- The sample size is 64.
- The point estimate of the population proportion is 0.625.
-The margin of error is approximately 16%.
Answer:
Step-by-step explanation:
Given that Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a later time.
Out of the statements given the true statements are :
1) The sample size is 64
2) The point estimate of the population is sample proportion =40/64 =5/8
=0.625
3) Margin of error = std error x 2.58
Std error = sq rt pq/n
p=0.625 and q = 0.375
Hence std error = 0.060
Margin of error = 0.156
Round off to 0.16 = 16%
a utility worker is 5.5 feet tall and is casting a shadow 4 feet long at the same time a nearby utility pole casts a shadow 20 feet long write and solve a proportion to find the height of the utility pole
So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.
Understanding that we know the shadow lengths, we can turn these into a fraction such as so:
4ft/20ft.
Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.
Your fraction for that would look like:
5.5ft/X
Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.
Now we can solve.
4ft/20ft =5.5ft/X
We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:
4x = 110ft
This is a simple one step equation. Divide both sides by 4 to get your answer.
x= 27.5ft.
This means your Utility pole's height is 27.5ft.
To find the height of the utility pole, set up a proportion with the utility worker's height and shadow length as one ratio, and the utility pole's height and shadow length as the other ratio. Solve the proportion by cross-multiplying and simplifying the equation. The height of the utility pole is 27.5 feet.
Explanation:To find the height of the utility pole, we can set up a proportion with the utility worker's height and shadow length as one ratio, and the utility pole's height and shadow length as the other ratio. Let's call the height of the utility pole 'x'. The proportion can be written as:
(5.5 ft) / (4 ft) = x / (20 ft)
Cross-multiplying, we get:
(5.5 ft) * (20 ft) = 4 ft * x
Simplifying, we find:
x = (5.5 ft * 20 ft) / 4 ft = 27.5 ft
Therefore, the height of the utility pole is 27.5 feet.
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suppose you earn 3% on a $1200 deposit for 5 years . explain how the simple interest is affected if the rate is increaced by 1% . what happens if the time is increaced by 1 year
To calculate simple interest, use the formula Simple Interest = Principal × Rate × Time. If the rate is increased by 1%, the simple interest will increase. If the time is increased by 1 year, the simple interest will also increase.
Explanation:To calculate the simple interest on a deposit, you can use the formula:
Simple Interest = Principal × Rate × Time
Now let’s address the first part of the question. If the rate is increased by 1%, the new rate would be 3% + 1% = 4%. Using the same formula, the simple interest would now be:
Simple Interest = $1200 × 0.04 × 5 = $240
Now, let’s move on to the second part of the question. If the time is increased by 1 year, the new time would be 5 years + 1 year = 6 years. Using the same rate of 3%, the simple interest would now be:
Simple Interest = $1200 × 0.03 × 6 = $216
Omar has 2 3/4 cups of dough to make Dumplings. If he uses 3/16 cup of dough for each dumpling,how many whole dumplings can Omar make?
Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.
I GIVE BRAINLIEST!!!! What is 1457.506 rounded to the nearest hundredth?
What is the unknown digit
Find the perimeter of the figure at the right.
The perimeter of the figure is 82.275cm.
In order to find this, we must first find the length of the arc portion. For this we will use circumference of a circle formula and then cut the amount in half (since it is a semi circle). The formula is below:
2[tex]\pi[/tex]r = C
We know the radius is 9 since it is half of the 18 that is the full diameter.
2[tex]\pi[/tex](9) = C
28.275 = C
Now we add that to the 3 other sides, which are all 18.
28.275 + 18 + 18 + 18 = 82.275
The diagram shows HJK which term describes point L
Answer: B. Incenter.
Step-by-step explanation:
1. The incenter of a triangle is define as the point of intersection of the angle bisectors.
2. The angle bisectors are define as the lines that cut the angles of the triangle and divide them into two equal parts.
3. Then, based on the information shown above, L is the point where the angle bisectors of the triangle HJK meet.
4. Therefore, the term that describes the point L of the triangle HJK is the option B, which is: Incenter.
Thank you that is also the answer for Apex too.
I’m totally confused
the first one is a.
the second one is d.
the third one is b.
and the fourth one is c.
Hank spins the spinner shown in the diagram 30 times. His results are as follows:
Yellow: 4
Blue: 7
Red: 5
Green: 6
Orange: 3
Purple: 5
What is the experimental probability of landing on green?
A) 1/8
B) 1/6
C) 1/5
D) 1/3
Question: What is the experimental probability of landing on green?
I think the best answer would be,
C. 1/5This is because,
30 divided by 6=5, which turns into 1/5.Find f(5) for f(x)=1/9(3)^x
We know: 9 = 3²
Therefore [tex]\dfrac{1}{9}=\dfrac{1}{3^2}[/tex]
We know the property:
[tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]
Therefore [tex]\dfrac{1}{9}\cdot3^x=\dfrac{3^x}{3^2}=3^{x-2}[/tex]
We must find f(5). Put x = 5 to the equation of the function:
[tex]f(5)=3^{5-2}=3^3=3\cdot3\cdot3=27[/tex]
Answer: f(5) = 27.The value of f(5) is 27 of function f(x) = 1/9(3)ˣ
What is the function?The function is defined as mathematics expression defines a relationship between one variable and another variable. When we say that a variable quantity y is a function of a variable quantity x, we indicate that y depends on x and that value of x determines what value of y will be. This relationship can be expressed as follows: y = f (x)
What is Exponential Function?An exponential function is defined as function has a constant as its base and a variable as its exponent.
In mathematical form an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function.
For the function f defined by f(x) given as :
f(x) = 1/9(3)ˣ ,
To determine the value of f(5).
f(x) = 1/9(3)ˣ,
Substitute the value of x = 5 in the function,
f(5) = 1/9(3)⁵ , [ 3⁵ = 243 ]
f(5) = 1/9(243),
f(5) = 27
Hence, the value of f(5) is 27.
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The price of p of an ice cream is 3.95 plus 0.85 for each topping t on the ice cream
Answer:
4.80
Step-by-step explanation:
add them up 4.80 dollars
Which number is four thousand times larger than 1.1 x 103 ? A) 1.1 x 106 B) 1.1 x 107 C) 4.4 x 106 D) 4.4 x 107
The answer to this problem is D
Answer: Hello!
I think that 1.1 x 103 is maybe bad written, and you wanted to write 1.1x10^3, i will solve this for this last one.
We are looking for a number that his four thousand times larger than 1.1x10^3, this number is equivalent to 4000*1.1x10^3
and we know that 4000 = 4x10^3, then we are looking for:
(4x10^3)*(1.1x10^3) = (4*1.1)x10^(3 + 3) = 4.4x10^6
So the correct answer is the option C : 4.4x10^6
point b has the points (5 -2) is rotated 180 about the origin, its image has coordinates
When rotating a point 180 degrees about the origin, you are simply inverting the points.
(5, -2) rotated 180 degrees results in (-5, 2).
To rotate point B(5, -2) 180 degrees about the origin, its image would have coordinates (-5, 2).
Explanation:To rotate a point about the origin, we can use the formula (x', y') = (-x, -y). In this case, point B has coordinates (5, -2). To rotate it 180 degrees about the origin, we substitute the coordinates into the formula:
(x', y') = (-5, 2)
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A high school athletic department bought 40 soccer uniforms at a cost of $3000. After soccer season they returned some of the uniforms but only received $40 per uniform. What was the difference between what they paid for each uniform and what they got for each return?
They got $35 less than what they paid for in the beginning
Round the nearest thousand 354 605
Answer:
355,000
Step-by-step explanation:
the 6 is greater than 5, so it would make the 4 a 5
Solve for x
0.2x -1.1
_______ =0.5
5
I did it i took a picture
Hope its ok
HEEEELLLLLLPPPPPPP!!!!!!!!!!!!!!! 90 POINTS!!!! I HAVE A QUIZ TOMORROW AND MY TEACHER HAS TAUGHT NOTHING!!!!
Well, you already know how to simplify these equations. There is nothing complicated about these, although it may look like they are. For problem 1, (2x^2)^3 is just multiplying the exponents. Add them together, and the numerator is 2x^5. The denominator is multiplying exponents again. 4x^4 * 3x^3 gives you 12x^7. The final answer is 2x^5 over 12x^7. Focus on the questions and keep your patience. You have the sheet that tells you all the rules for simplifying these equations. It shouldn't take too long. Just focus.
Write a function rule to represent the situation.
the total cost C for
g
gram
of
cheese
if each
gram
costs
$3.09
Write a function rule using C and
g
as variables.
.. (Type an equation.)
Answer:
g(3.09)=C
Number of Grams of Cheese times 3.09 will = Cost
If x=7and =-2, determine the value of 6x-4y
Answer:
the answer is 50
Step-by-step explanation:
first you plug in the x and y in the equation, making it 6(7)=-4(-2) then, you multiply the numbers together, making the equation 42+8. finally, you add those numbers together, giving you the answer 50
Choose all that are correct.
a.5x + 10 = 12 x = 5/2
b.3x + 10 = 8 x = − 2/3
c.9x + 15 = 36 x = 7/3
d.8x + 12 = 24 x = 3/2
A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded +$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.
They should subtract $ -20 because they went behind on how much they planned to save. Now this question can be tricky because some might say they lost 0 because they already had an extra $20 but it is only asking for the month of February and is only asking for each month not the entire year.
Answer:
-$20
Step-by-step explanation:
We are given that
A family wants to save each month =$100
In January, they saved=$120
They recorded at the end of the month January=+$20
In February, they saved=$80
We have to find that what should they record at the end of month February if the saved $80.
Family wants to save each month=$100
But in February,
The family saved only=$80
Therefore, they recorded at the end of month February=80-100=-$20
Hence, they should record -$20 for the month of February if they saved $80 . Because they did not achieve their target .They have $20 lack from their monthly target.
Use two mixed numbers to write an equation with a sum of 4 1/4
2 1/8 +2 1/8 works I think.
2 1/8 plus 2 1/8 equals 4 1/4.
HEELP PLLSSS I GIVE BRAINLIEST
answer: second choice
why?: if muliply with the signs, you would get a negative product for the second choice. when you do it with the others, they come out with a positive product or 0 as the answer.
hope this helps! ❤ from peachimin
-3a + 4 ≥ -16
Solve, and show your work.
Answer:
a ≤ 20/3
Step-by-step explanation:
Subtract 4 from both sides, obtaining:
-3a ≥ -20. Dividing both sides by -3, we get a ≤ 20/3.
Note that because this is an inequality, and because we've divided all terms by a negative number, we must change the direction of the inequality symbol from ≥ to ≤.
Answer:
gb
Step-by-step explanation:
gsxgb
Geometry- Examine the diagrams below. What is the geometric relationship between the labeled angles? What is the relationship of their measures? Then, use the relationship to write an equation and solve for x.
The geometric relationship, relationship between the measure of the labelled angles, and the value of x in each case are:
a. Geometric Relationship: vertical angles
Relationship of their measures: they are equal
Equation: (3x + 5) = (5x - 5)
x = 5
b. Geometric Relation: straight line angles
Relationship of their measures: their sum equals 180
Equation: (4x + 150) + 2x = 180
x = 5
a. (3x + 5) and (5x - 5) are vertical angles opposite to each other.
The geometric relationship is "vertical angles are congruent".
This means (3x + 5) and (5x - 5) are of equal measure.Therefore equation from the geometric relation is:[tex](3x + 5) = (5x - 5)[/tex]
Solve for x[tex]3x + 5 = 5x - 5[/tex]
Collect like terms[tex]3x - 5x = -5- 5\\\\-2x = -10[/tex]
Divide both sides by -2[tex]x = 5[/tex]
b. (4x + 150) and 2x are angles that lie on a straight line.
Angles on a straight line are supplementary and will add up to give you 180 degrees.
The geometric relationship is therefore "angles on a straight line are supplementary".
Therefore equation from the geometric relation is:[tex](4x + 150) + 2x = 180[/tex]
Solve for x[tex]4x + 150 + 2x = 180[/tex]
Add like terms[tex]6x + 150 = 180[/tex]
Subtract 150 from both sides[tex]6x = 180 - 150\\\\6x = 30[/tex]
Divide both sides by 6
[tex]x = 5[/tex]
Therefore, the geometric relationship between the given measures of the angles, their equation from the relation and the x value of each are:
a. Geometric Relationship: vertical angles
Relationship of their measures: they are equal
Equation: (3x + 5) = (5x - 5)
x = 5
b. Geometric Relation: straight line angles
Relationship of their measures: their sum equals 180
Equation: (4x + 150) + 2x = 180
x = 5
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What Is 2x+50=4x+25
Can Someone Help Me Find The Answer!!!!
2x + 50 = 4x + 25
To isolate x, first subtract 50 from both sides of the equation.
2x + 50 - 50 = 4x + 25 - 50
2x = 4x - 25
Then, subtract 4x from both sides.
2x - 4x = 4x - 25 - 4x
-2x = -25
Lastly, divide both sides by -2.
x = 12.5
Check work
Substitute 12.5 for every x in the equation.
2(12.5) + 50 = 4(12.5) + 25
25 + 50 = 50 + 25
75 = 75
As you can see, the statement is true; 12.5 is correct.
Answer:x = 12.5 or x = [tex]12\frac{1}{2}[/tex]
Solve for y 31=2y-5
31=2y-5
Add 5 on both -5+5 which cancels out and 31+5 which is 36 and then divide 36 by 2 which equals to 18.
So y=18 hope this helped (':
Hey!
[tex]31=2y-5[/tex]
First, this problem should be switch sides.
[tex]2y-5=31[/tex]
Secondly, add 5 from both sides of equation.
[tex]2y-5+5=31+5[/tex]
Then, simplify
[tex]2y=36[/tex]
In fact, you had to divide 2 from both sides of equation.
[tex]\frac{2y}{2}=\frac{36}{2}[/tex]
Finally, simplify
[tex]y=18[/tex]
And the answer is [tex]y=18[/tex]
I hope this helped!
Thank you for posting your question.
-Charlie
whats the step by step and answer for 15h+30<10h-45
how far could a subway car travel in 1 hour if it's average speed was 0.96 mile per minute
1 hour = 60 minutes
If it's 0.96 miles per minute, we can multiply 0.96 by 60 to find how far it could travel in 1 hour.
0.96 * 60 = 57.6.
help me plss now! can't get the answer