Answer:
.
Step-by-step explanation:
A math teacher was frustrated at the number of students leaving their graphing calculator behind in her classroom at the end of class without a way to locate the student. A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
Required:
What would be a 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators?
Answer:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
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].
A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148[/tex]
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Find the slope of the line passing through each of the following pairs of points. (0,0) (4,3)
Answer:
Step-by-step explanation:
Slope or m is defined as
m=(y2-y1)/(x2-x1) in this case
m=(3-0)/(4-0)
m=3/4
Let FICA tax rates be 7.65% on the first $127,200 of income from wages, and 1.45% on any income from wages in excess of $127,200. Her FICA tax is?
Answer:
The tax is split between employers and employees. They both pay 7.65% (6.2% for Social Security and 1.45% for Medicare) of their income to FICA, the combined contribution totaling 15.3%. The maximum taxable earnings for employees as of 2020 is $137,700.
Correct me if you want If its wrong
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5 a) 22.6
b) 67.8
6 a) 9 miles
b) 18 miles
7. Alicia
Hope this helps pls mark me brainliest thx that took me ages
Why is your amount owed considered when determining your credit score? BI U S
One number is 24 more than the other. What are the numbers if their sum is 84
Answer:
The required numbers are 30 and 54.
Step-by-step explanation:
Let 'x' be the smaller numberLet 'y' be the larger numberGiven that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
so we have two equations
[tex]\begin{bmatrix}y=x+24\\ x+y=84\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=24\\ y+x=84\end{bmatrix}[/tex]
subtracting the equartions
[tex]y+x=84[/tex]
[tex]-[/tex]
[tex]\underline{y-x=24}[/tex]
[tex]2x=60[/tex]
now solve 2x = 60 for x
[tex]2x=60[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{60}{2}[/tex]
Simplify
[tex]x=30[/tex]
For y - x = 24 plug in x = 30
[tex]y-30=24[/tex]
Add 30 to both sides
[tex]y-30+30=24+30[/tex]
Simplify
[tex]y=54[/tex]
Thus, the required numbers are 30 and 54.
Verification:
Given that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
substitute x = 30
y = 30 + 24
y = 54
Thus, y is 24 more than x.
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
sustitute x = 30 and y = 54
30 + 54 = 84
84 = 84
L.H.S = R.H.S
Thus, the sum of the numbers is indeed 84.
Find the area (in square inches) of the parallelogram.
Step-by-step explanation:
2 ft = 24 inch
3 ft = 36 inch
area of parellogram = base × height = 24 × 36 = 864 inches²MARK ME AS BRAINLISTPLZ FOLLOW ME3. Evaluate and graph
the solution.
3. E
the
"the
5x + 9-3x s 21
+
++
Answer:
x=6
Step-by-step explanation:
5x+9-3x=21
5x-3x=21-9
2x=12
x=6
Aaron usually runs 1 1/2 miles each day. However, on
Tuesday he only ran 2/3 of that distance. How far did
Aaron run on Tuesday?
Which of the following is most likely the next step in the series?
Answer:
I need more info to answer this question.
Step-by-step explanation:
Write the fraction in lowest terms.
14/37
Answer:
14/37
Step-by-step explanation:
14/37 is already in the simplest form. It can be written as 0.378378 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 14 and 37 is 1
Divide both the numerator and denominator by the GCD
14 ÷ 1
37 ÷ 1
Reduced fraction:
14/37
Therefore, 14/37 simplified to lowest terms is 14/37.
[tex] \sqrt{25} [/tex]
pls help i just want the answer T-T.
Answer:
5
Step-by-step explanation:
A large university accepts 60% of the students who apply. Of the students the university accepts, 30% actually enroll. If 30,000 students apply, how many actually enroll?
Answer:
Your answer is
60% apply means 30k *0.6= 18000
30% enroll so,.0.3*18k = 5400
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
Answer:
5400 students
Step-by-step explanation:
well 60% of 30000 would be 18000 which is the amount who gets accepted. 30% of 18000 would be who actually enrolls
Without making any calculations, which data set has the smallest standard deviation?
O 1, 1, 2, 2, 3,3
O 1, 3,5
O 0, 1, 5, 6, 9, 10
O 1, 1, 1, 1, 2, 2, 2, 2
Answer:
the last set: {1, 1, 1, 1, 2, 2, 2, 2}
Step-by-step explanation:
Notice the smallest standard deviation will come from the addition of the differences between the average value and each individual number in the set.
We notice that there is one set where all values are very close to the average . This is the set:
{1, 1, 1, 1, 2, 2, 2, 2} whose clear average is 1.5 , and therefore the deviations from the mean will produce contributions of 0.5 for each of the elements.
an arfican elephant weighs 6 tons what is the weight of the elephant in pounds? 2000 pounds = 1 ton
Simplify to a single power of 5
Answer:
7
Step-by-step explanation:
multiplying exponents adds them together... 5+2=7
Find the value of xxx in the triangle shown below
Question: Find the value of xxx in the triangle shown below
Answer: Pg.21607062
Brainly.com
2-19-21
Answer:
x = 70
Step-by-step explanation:
Mr. Morales owns a tour bus company and just received the news that fuel prices are going to increase by 125% it is currently $3.40 per gallon what will the cost per cost per gallon after the increase
Answer:
Step-by-step explanation:
Your answer
Let me think. 125 %,,,. So 1.25* 3.4= 4.25
New price = 7.65
Mark it as Brainlist answer. Follow me.
Find the missing sides to the triangle seen below.
Answer:
95
Step-by-step explanation:
you got to eat it and then division then multiple
Answer:
95
Step-by-step explanation:
Divide.
14)4210
O A. 300 r 10
O B. 300 r 7
O C. 300
O D. 310
no rush at all lolz.!
300 with a remainder of 10
3 0 0
1 4 | 4 2 1 0
4 2
1 0
Therefore, 4210 / 14 = 300 with a remainder of 10.
300 with a remainder of 10
Can the triangles be proven similar by AA?
Question options:
A)
No, similar triangles cannot contain a pair of parallel lines.
B)
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
C)
Yes, because || .
D)
No, the triangles contain no angles marked congruent.
Answer:
No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
Step-by-step explanation:
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
What is similarity?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Both triangles are similar as,
∠QUR ≅ ∠TUS (vertical angles)
∠R ≅ ∠S (alternate interior angles).
So, By AA similarity criteria triangles are similar.
Learn more about similarity here:
https://brainly.com/question/17170212
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what is the solution f/4 = 12/5
Step-by-step explanation:
cross multiply
4(12) = 5f
48 = 5f
48/5 = f
9 3/5
HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6
Answer:
E)
Step-by-step explanation:
1 - (69,000 / 42,000) = .64285 * 100% = 64.3%
Plz help I’m stuck on this question
Answer:
the answer is C
Step-by-step explanation:
bhl
2
i hope it will help you
1.99 ÷ 3 =
2. 125 ÷ 5 =
3. 288 ÷ 36=
4. 540 ÷ 12=
5. 999 ÷ 111=
pls answer ngayon ko na po ito ipapasa explain the answer
Pls tell me the rest of the angles. Angle 1 is 112.9 degrees
1. 112.9
2. 67.1
3. 112.9
4. 67.1
hope that helped^^
This year 0.3 of the x students at Mega Middle School are in 7th grade. There are 294 students in 7th grade.
Answer:
is that even a question ?
Step-by-step explanation:
3/10x=294
x=294*10/3
x=980 students
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v= u + at, find v, when u = 12, a = 5 and t = 7
Answer:
V=47
Step-by-step explanation:
12+5x7
12+35
47
Answer:
Final velocity (v) = 47 m/s
Step-by-step explanation:
u = 12
a = 5
t = 7
v = ?
v = u + at (first law of motion)
v = 12 + (5 × 7)
v = 12 + 35
v = 47 m/s.
I dont understand it
Answer:
30xy
Step-by-step explanation:
I divided this shape into a square and a rectangle.
Solve:
First I multiplied 2x and 3y
2x*3y= 6xy
Then I multiplied 6x and 4y
6x*4y= 24xy
Then I added them together
24xy+6xy= 30xy
Hope this helps!
The checker piece near the middle of the board can move diagonally in any directions between shaded squares. On how many different squares can the piece be located at the end of one turn?
URGENT I REALLY NEED HELP ANYONE? PLEASE