Answer:
The value is [tex]n =2401 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 2%= 0.02
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Here we are going to assume that the sample proportion is [tex]\^ p = 0.50[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n =[\frac{ 1.96 }{ 0.02} ]^2 * 0.5 (1 -0.5 ) [/tex]
=> [tex]n =2401 [/tex]
(2,-3), slope = 4
What is the answer
We are given:
The line passes through (2,-3)
Slope of the line = 4
Finding the equation of the line:
We know that the general form of the slope-intercept form is:
y = mx + b [where m is the slope and b is the y-intercept]
y = 4x + b [since slope = 4]
Finding the y-intercept:
Now, we are given that the line passes through the points: (2,-3)
which can be written as: x = 2 and y = -3
Since the line passes through these points, these values must satisfy the equation
So,
y = 4x + b
-3 = 2(4) + b
-3 = 8 + b
b = -11 [subtracting 8 from both sides]
Hence, the y-intercept is -11
Equation of the line:
We wrote the equation of the line as:
y = 4x + b (where b is the y-intercept)
now that we know the value of b,
y = 4x - 11
Therefore, the equation of the line is: y = 4x - 11
Which operation is NOT closed for polynomials?
es )
A)
add a trinomial to a trinomial
B)
divide a binomial by a trinomial
multiply a binomial by a binomial
D)
subtract a binomial from a trinomial
Answer:
B)
divide a binomial by a trinomial
Step-by-step explanation:
As we know that the polynomials are very closed to the addition, subtraction and the multiplication but the same cannot be happen under the division as the division of two polynomials could not become a polynomial it is not necessary
Now if we divide the binomial from a trinomial so it would give a rational expression and contain a negative exponent and negative exponent is not allowed under the same
Therefore the option B is correct
Shaun estimated that the attendance at a college game was 1,200 people. The actual attendance was 1,158. What is the percent error of Shaun's estimate? (Round your answer to the nearest tenth)
Answer:
3.6%
Step-by-step explanation:
The formula for percent error is [ |va-ve/ve| * 100% ].
1200-1158/1158 * 100%
42/1158 * 100%
0.036 * 100%
3.6%
Best of Luck!
The percentage error should be 3.6%
Given that,
Shaun estimated that the attendance at a college game was 1,200 people. The actual attendance was 1,158.Based on the above information, the calculation is as follows:
[tex]= (1200-1158)\div 1158 \times 100\%\\\\= 42\div 1158 \times 100\%\\\\= 0.036 \times 100\%\\\\[/tex]
= 3.6%
learn more; https://brainly.com/question/1691136?referrer=searchResults
8n^2-17
I NEED AN ANSWER
Answer: 37
Step-by-step explanation:
At the movie theater,
each chrink costs 3
dollars and each box of
candy costs x dollars.
Charlie bought 2 drinks
and one box of candy
Tyrell bought I drink and 3
boxes of candy Write a
simplfled expression
representing how much
mone Charlie spent.
Step-by-step explanation:
Charlie bought 2 drinks and 1 box of candy
=> 2($3) + 1($x)
=> $(6 + x).
Which diagram best shows how fraction bars can be used to evaluate 1/2 ÷ 1/4
A: 2/4
B:2
C:1/2
D:1/2
Answer:
B
Step-by-step explanation:
one - step adding/ subtraction equation / multiplication/ division problems
The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. Write and solve and equation to find out how many minutes it will take to drain the pool.
Answer:
It would take x = 72 minutes to drain the pool.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the rate of change or slope and b is the y-intercept
Let 'y' be the height of the water poolLet 'x' be the time in the minute of the water poolAs the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.
Thus,
y-intercept = b = 36As the water drains, the height of the water changes at a rate of -1/2 inch per minute.
Thus, the rate of change or slope = m = -1/2Thus, using the equation
[tex]y = mx+b[/tex]
substituting m = -1/2 and b = 36
[tex]y\:=\:-\frac{1}{2}x+36[/tex]
We know that when the pool drains, the height of water reduces to zero.
Thus, substituting y = 0 in the equation
[tex]0=-\frac{1}{2}x+36[/tex]
switching sides
[tex]-\frac{1}{2}x+36=0[/tex]
subtract 36 from both sides
[tex]-\frac{1}{2}x+36-36=0-36[/tex]
[tex]-\frac{1}{2}x=-36[/tex]
Multiplying both sides by -2
[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]
[tex]x=72[/tex]
Therefore, it would take x = 72 minutes to drain the pool.
HELP ME WITH MY I-READY IM TRYING TO GET STUDENT OF THE MONTH PLZ HELP or it will get juicy
25 points
Answer: its four inches
Step-by-step explanation:
one green block is 1 inch and there is 4 green blocks meaning that it is four inches
Answer:
4 inches
Step-by-step explanation:
What is the first digit quotient for 18.6
Please respond ASAP
Answer: 18.6 is your answer because there is nothing behind the 6
Step-by-step explanation: hope this help :)
The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)
and Q(c,-7,4)
Find the values of:
a=
b=
C=
Answer:
The values are:
[tex]a = -5/2[/tex][tex]b = -6[/tex][tex]c = -7[/tex]Step-by-step explanation:
Given:
P = (x₁, y₁, z₁) = (1, 2, b) Q = (x₂, y₂, z₂) = (c, -7, 4) m = R = (x, y, z) = (-3, a, -1)To Determine:
a = ?
b = ?
c = ?
Determining the values of a, b, and c
Using the mid-point formula
[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]
As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b) and Q(c,-7,4), som = R = (x, y, z) = (-3, a, -1)
Using the mid-point formula
[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]
given
(x₁, y₁, z₁) = (1, 2, b) = P
(x₂, y₂, z₂) = (c, -7, 4) = Q
m = (x, y, z) = (-3, a, -1) = R
substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P, (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula
[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]
[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
as (x, y, z) = (-3, a, -1), so
[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]
Determining 'c'
-3 = (1+c) / (2)
-3 × 2 = 1+c
[tex]1+c = -6[/tex]
[tex]c = -6 - 1[/tex]
[tex]c = -7[/tex]
Determining 'a'
a = (2+(-7)) / 2
[tex]2a = 2-7[/tex]
[tex]2a = -5[/tex]
[tex]a = -5/2[/tex]
Determining 'b'
-1 = (b+4) / 2
[tex]-2 = b+4[/tex]
[tex]b = -2-4[/tex]
[tex]b = -6[/tex]
Therefore, the values are:
[tex]a = -5/2[/tex][tex]b = -6[/tex][tex]c = -7[/tex]Is this the right answer
Answer:
yes that would be correct
Step-by-step explanation:
4 + 4 is 8
6/8 and 24/40 are they proportional
Answer:
no they are not
Step-by-step explanation:
Kathleen and Antonio hung out at the mall on Saturday. They spent 1 hour and 15 minutes shopping for clothes and 1 hour and 30 minutes at the food court. Then they spent 2 hours at the video arcade before heading home. If it was 11:00 A.M. when Kathleen and Antonio started shopping for clothes, what time was it when they left the mall?
Please help me fast!!!!!
Answer and Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
First, we should list all the information that is given to us.
Started at: 11:00 AM
Time spent shopping: 1 hour and 15 minutes
The spent in food court: 1 hour and 30 minutes
Time spent in video arcade: 2 hours
Now, all we have to do is add the times.
11:00 AM + 1 hour and 15 minutes = 12:15 PM
12:15 PM + 1 hour and 30 minutes = 1:45 PM
1:45 PM + 2 hours = 3:45 PM
So, Kathleen and Antonio left the mall at 3:45 pm.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points
Answer:
Option B
Step-by-step explanation:
Given:
AB ≅ CD
BC ≅ DA
To Prove:
ΔABD ≅ ΔCDB
Statements Reasons
1). AB ≅ CD 1). Given
2). BC ≅ DA 2). Given
3). BD ≅ BD 3). Reflexive property
4). ΔABD ≅ ΔCDB 4). SSS postulate of congruence
Therefore, Option (B) will be the correct option.
Page 2 I need help with this whole page! And be careful, my teacher said “think about what part of the equation deals with price “
Answer:
a) Already correct
b) If x represents each one dollar increase in price, than prices that are increased by $16 and $28
c) $6
d) Maximum Revenue would be $2,420
e) x = -5 but it's extraneous
(if we were using imaginary numbers then it would be 5i)
Step-by-step explanation:
Parallelogram P was dilated to form parallelogram P prime.
Parallelogram P has side lengths of 10 and x + 3. Parallelogram P prime has side lengths of 20 and 8.
What is the value of x? (Figures not drawn to scale.)
Answer:
x = 1 is the correct answer of this question plz mark my answer as brainlist plzzzz vote me also .....
Answer:
1 is the answer
Step-by-step explanation:
got a 100% on my test
The ordered pair (1, -2) is a solution to the system of linear equations.
2x + y = 0
-x + 2y = 5
True
False
Answer:
False
Step-by-step explanation:
2x + y = 0
Try (1, -2)
2(1) + (-2) = 0
2 + (-2) = 0
0 = 0
The solution works on the first equation.
-x + 2y = 5
-(1) + 2(-2) = 5
-1 - 4 = 5
-5 = 5
The solution does not work in the second equation.
Answer: False
A $65 video game has a 5% shipping charge. What is the cost of the shipping charge?
PLS HELP FAST!!
Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right
angled triangle.
Answer:
AB = √18 , BC=√18 and CA =4
AB²+BC² = CA² and AB=BC
ΔABC isosceles right angled triangle.
Step-by-step explanation:
Given vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k
A( 0,7,10), B( -1,6,6) C(-4,9,6)
AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k
AB = [tex]\sqrt{1+1+16} = \sqrt{18}[/tex]
BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j
BC=[tex]\sqrt{9+9} =\sqrt{18}[/tex]
CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k
CA = [tex]\sqrt{16+4+16} =\sqrt{36} =4[/tex]
Since AB²+BC² = CA²
And AB=BC
Therefore it follows that ΔABC is a right angled isosceles triangle
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the same speed?
Answer:
They did not run at the same speed. Calculation of their speed shows that Jada was running at a higher speed.
Step-by-step explanation:
Let's first calculate the speed of each person using the units provided so that we do not complicate the question.
speed = distance covered/time taken
Andre's speed = 2 km/15 min = 0.133 km/min
Jada's speed = 3km/20 min = 0.15 km/min
Clearly we can see that Jada was running at a higher speed than Andre. The question says they were running at constant speed not equal speed. That just means each person maintained their speed, they did not get faster or slower.
choose all of the points that are solutions to y = 3x + 2 / 2x - 1.
A.(-2, 4/5)
B.(-1, -5)
C.(0, -2)
D.(0, -2/3)
E.(1, 3/2)
F.(1, 5)
G.(4, 14)
Answer:
a d f g
Step-by-step explanation:
Answer:
its abfg
Step-by-step explanation:
Need help!!!! With # 7
Answer:
Step-by-step explanation:
(-∞ , 8]
and
[0 , 8]
im 99% sure this is correct
hope this helps <3
The pencils produced by the machine are unsharpened, so two employees in the factory need to sharpen each pencil by hand. Employee A can sharpen 8 pencils per minute and Employee B can sharpen 5 pencils per minute. Employee A breaks 10% of the pencils they sharpen and Employee B breaks 15% of the pencils they sharpen. What is the probability that a broken pencil was broken by Employee A
Answer:
0.4156
Step-by-step explanation:
Given that:
Employer A:
8 pencils per minute
Probability of breaking a pencil = p(A) = 10%
Employer B:
5 pencils per minute
Probability of breaking a pencil = p(B) = 15%
Hence,
Probability of breaking a pencil:
P(breaking a pencil) = (P(A breaks pencil) * P(A)) + (p(B breaks pencil) * p(B))
P(A breaks pencil) = 0.1 * 8 = 0.8
P(B breaks pencil) = 0.15 * 5 = 0.75
P(breaking a pencil) = (0.8 * 0.1) + (0.75 * 0.15) = 0.1925
Hence, probability that a broken pencil was broken by employer A will be :
(P(A breaks pencil) * P(A)) / probability of breaking a pencil
= (0.8 * 0.1) / 0.1925
= 0.08 / 0.1925
= 0.4155844
= 0.4156
In the context of a hypothesis test for two proportions, which of the following statements about the pooled sample proportion, , is/are true? I. It estimates the common value of p1 and p2 under the assumption of equal proportions. II. It is obtained by averaging the two sample proportions 1 and 2. III. It is equal to the proportion of successes in both samples combined.
Answer:
The statements that are true about a hypothesis test for two proportions are:
I. It estimates the common value of p1 and p2 under the assumption of equal proportions.
II. It is obtained by averaging the two sample proportions 1 and 2.
Step-by-step explanation:
We use the two sample proportion z-test to determine whether the proportions of the two groups differ. This test calculates the range of values that is likely to include the differences between the sample proportions of p1 and p2.
Select the correct answer. What is the solution for x in the equation? 29 + 15x = -x − 3
First of all, move the terms so that all those who involve [tex]x[/tex] are on one side, and all the costants are on the other:
[tex]29 + 15x = -x - 3 \iff 15x+x=-29-3[/tex]
Sum like terms:
[tex]15x+x=-29-3 \iff 16x=-32[/tex]
Divide both sides by 16:
[tex]x=-2[/tex]
Best answer gets brainiest. On Wednesday at camp, Diana went for a hike at 5:35 A.M. The hike took 1 hour and 30 minutes. As soon as she got back from the hike, Diana played volleyball for 55 minutes. What time did Diana finish playing volleyball?
Include A.M. or P.M. in your answer.
Answer:
Diana finshed playing volleyball at 8am
Step-by-step explanation:
So we know she started at 5:35 AM
And she hiked for an hour and 30 minutes
so 5:35+1 hour is 6:35
and 6:35+35 is 7:05
So before playing volley ball, the time is 7:05 am
Now volley ball was 55 minutes
so 7:05+55 is 8
So 8am
Answer:
She finish playing valleyball at 8:00 am
Step-by-step explanation:
Hike at 5:30 => 1h 30 min => 7:05
valleyball at 7:05 => 55 min => 8:00
Sorry if you can’t really see it
Answer:
i cant see it
Step-by-step explanation:
Please help me thank you I appreciate it
Answer:
angle FDE+angle CDF=90° (given CDE=90°)
angle CDF=90-42
angle CDF=48°
HELPP PLSSS!! I NEED HELPL
Answer:
65% :) enjoy your day!
Step-by-step explanation:
please mark brainliest
Help quick please algebra one
Answer:
b. (5,-2)
Step-by-step explanation:
When we substitute the x and y values into the equation and simplify the equation we end up with these equations:
-2 ≤ 0
-2 ≥ -9
Once simplified, the equations are proven to be correct.
(I hope this helps)
Answer:
The answer is B, (5,-2)
Step-by-step explanation:
If you input the x and y values from (5,-2) into the system on inequalities both the equations end up being true, while all the other make one or more solution set incorrect when you input the x and y values.
