Using the normal approximation to the binomial, it is found that there is a 0.119 = 11.9% probability that at least 60 will return next month.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem, we have that:
60% of the new customers have returned, hence p = 0.6.90 new customers dine at the restaurant this month, hence n = 90.Thus, the mean and the standard error for the approximation are given as follows:
[tex]\mu = np = 90(0.6) = 54[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{90(0.6)(0.4)} = 4.6476[/tex]Using continuity correction, the probability that at least 60 will return next month is P(X > 60 - 0.5) = P(X > 59.5), which is 1 subtracted by the p-value of Z when X = 59.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{59.5 - 54}{4.6476}[/tex]
Z = 1.18
Z = 1.18 has a p-value of 0.881.
1 - 0.881 = 0.119.
0.119 = 11.9% probability that at least 60 will return next month.
More can be learned about the normal distribution at https://brainly.com/question/24663213
The perimeter of a rectangular painting is 298 centimeters. If the length of the painting is 94 centimeters, what is its width?
Step-by-step explanation:
Length = 94 cm
breadth = ?
Perimeter = 298 cm
Now..............
Perimeter = 2 ( l + b )
298cm = 2 ( 94 cm + b )
298 / 2 = 94 + b
149 cm = 94 + b
b = 149 - 94 cm
b = 55 cm
Answer:
Value of it's width is 55 cm .Step-by-step explanation:
In the question we have given perimeter of rectangular painting that is 298 cm , length of the painting is 94 cm , and we have asked to find the width of the rectangular painting . So perimeter of rectangle is ,
[tex] \purple{ \boxed{Perimeter \: of \: rectangle = 2 ( l + w ) }}[/tex]
Where ,
l = length of rectanglew = width of rectangleNow , we are substituting value of length and equating it with given perimeter :
[tex] \longrightarrow \: 2(94 + w) = 298[/tex]
Now, our last step is of calculations . So from here we are calculating ,
[tex] \longrightarrow \: 94 + w = \frac{298}{2} [/tex]
[tex] \longrightarrow \: 94 + w= 149[/tex]
[tex] \longrightarrow \: w = 149 - 94[/tex]
[tex] \longrightarrow \: \blue{\boxed{ \bold{w = 55 \:cm}}}[/tex]
Therefore, width of rectangular painting is 55 cm .#Keep Learning1. What is the cross section formed by cutting a cylinder perpendicular to its base?
2. What is the cross section formed by cutting a cone parallel to its base?
3. What is Cavalier's Principle? Can you think of an example applying it to everyday life?
…………….
Answer:
1
Depends on the cross section axis
place a cylinder can on a table , circular and side down .Look down at it and you see the other end so the cross section is circle
Turn it on its side and the cross section is rectangle
the values in a data set r 15,7,11,12,6,3,10, and 6. where would u draw the box in a
Answer:
8.5
put numbers least to greatest and find the median by crossing numbers out front from back.
Which of these statements is a valid perfect square trinomial?
Statement 1: x2 + 10x + 100 = (x − 10)2
Statement 2: a2 + 2ab + b2 = (a + b)2
Group of answer choices
Statement 1 and statement 2 are valid.
Statement 1 and statement 2 are invalid.
Only statement 1 is valid.
Only statement 2 is valid.
Answer:
D. Only statement 2 is validStep-by-step explanation:
Verify if the statements are correctStatement 1:
x² + 10x + 100 = (x − 10)²x² + 10x + 100 = x² + 2(x)(-10) + (-10)²x² + 10x + 100 = x² - 20x + 100LHS ≠ RHSStatement 2:
a² + 2ab + b² = (a + b)²a² + 2ab + b² = a² + 2ab + b²LHS = RSHAs we see the second statement is valid but not the first one.
Correct choice is D
Answer:
Statement 2 only
Step-by-step explanation:
2nd one is the identity so no need to verify its true
1st one
(x-10)²x²-20x+100Hence wrong
What is the area of this trapezoid?
Enter your answer in the box.
__ ft²
Answer:
468 ft²
Step-by-step explanation:
Area = (37+15)/2 × 18
37 + 15 is 52
Divide 52 by 2 which is 26
26 × 18 is 468
We know,
[tex] \text{Area of trapezoid =} \frac{a + b}{2} h[/tex]
Here, a and b are base and h is height
Inserting The Values[tex] = \frac{37 + 15}{2} \times 18 \\ \\ = \frac{52}{2} \times 18 \\ \\ = \cancel\frac {52}{2} \times 18 \\ \\ = 26 \times 18 \\ = 468 \: \text{ft²}[/tex]
Hope This Helps
If - 4x + 6y = 9 and -2x – 7y = -8 are true equations, what would be the value of -2x + 13y?
Answer:
17
Step-by-step explanation:
The expression of interest is the difference of the two given expressions.
(-4x +6y) -(-2x -7y) = (9) -(-8)
-2x +13y = 17
The value is 17.
_____
Additional comment
You could go to the trouble to solve the two equations for x and y, then compute the value of the expression you want. As we saw above, that is not necessary.
The first step in problem solving is always "look at the given information and how it relates to what you are asked." A little time spent doing that can save a lot of effort in the actual problem solving process.
F(x)= x^2+2, g(x)= x+1, and h(x) =2x what is f(g(x)) when x= -1
Help my sister please she needs help I don’t know because I forgot
Answer:
15 shrimps
Step-by-step explanation:
We already know that a small shrimp taco has 5 shrimps.
⇒ [tex]\text{1st equation: small shrimp taco = 5 shrimps}[/tex]
We also know that a large taco has 3 times more shrimps than a small taco.
⇒ [tex]\text{2nd equation: shrimps in a large taco = 3(Shrimps in a small taco)}[/tex]
Finding the number of shrimps in a large taco:
Now, simply substitute the number of shrimps in a small shrimp taco in the second equation to find the number of shrimps in a large taco.
⇒ [tex]\text{Shrimps in a large taco = 3(5) shrimps}[/tex]⇒ [tex]\boxed{\bold{\text{Shrimps in a large taco = 15 shrimps}}}[/tex]Answer:
15 shrimp
Step-by-step explanation:
5 shrimp * 3 = 15shrimp
keith bought a soft drink for 2 dollars and 6 candy bars. he spent a total of 14 dollars. how much did each candy bar cost?
Answer:
2
Step-by-step explanation:
so if you take away 14 by 2 =12 and 12 divided by 6= 2
Answer:
each candy bar cost 2 dollars
Step-by-step explanation:
answer the following question
Answer:
Letters as in the attached image.
Triangles ABC and ADC are congruent by SSS. From that, corresponding angles are congruent, in parcicualre B and D, both measuring 94°.
Final angle is obtained by difference. The internal angles of a quadrilater add to 360, so the remaining is 360-90-94-94 =82°
Solve the following problem.
360 mL =____cups?
type your answer...
Answer:
1.52 cups
Step-by-step explanation:
360 ml / (236.588 ml/cup ) = 1.52 cups
please help me answer this question.. no links
Answer:
The answer is 28 Units
It's number 3.
100 points and brainliest. Put nonesense and get reported. What is wrong with the equation below, make sure to explain
Answer: 1 3/4(8)= 14
Step-by-step explanation:
That is the correct answer
Pls help me with My math I need the ans rn, Tysm.
Answer:
35 degrees
30 degrees
__________ is a time to challenge yourself and take some risks since your body is stronger than ever before, and you are changing and developing in all sorts of wonderful ways.
Answer:
Adolescence
Step-by-step explanation:
We are constantly changing and developing in adolescence, it is the bridge between childhood and adulthood, mixed with youth (taking risks more frequently, less worries) and responsibilities and coming-of-age.
Question 1 of 10
How many solutions are there to the equation below?
x² =-64
A. 0
B. 2
C. 16
D. 8
E. -8
Select the correct answer.
A regular octagon has side lengths of 8 centimeters. What is the approximate area
he octagon?
OA. 618 cm2
OB. 512 cm2
OC 309 cm2
OD
473 cm2
Reset
Next
Answer:
C. 309 cm2
Step-by-step explanation:
A=2(1+sqr2)a^2
A=2(1+sqr2)8^2
≈309.01934
Answer: 309 cm2
Step-by-step explanation:
plato
What value of x makes the equation true? 6 6x + 8 = 3x - 19 : A. X=-9 B. -- 3 C. = -3 D. x= 3
Answer:
A. x = -9
Step-by-step explanation:
6x + 8 = 3x - 19 <== subtract 3x from both sides
-3x -3x
3x + 8 = -19 <== subtract 8 from both sides
- 8 - 8
3x = -27 <== divide both sides by 3
/3 /3
x = -9
Hope this helps!
Answer:
[tex]\tt x=-9[/tex]
Step-by-step explanation:
[tex]\tt 6x + 8 = 3x - 19[/tex]
Subtract 8 from both sides:-
[tex]\tt 6x+8-8=3x-19-8[/tex]
[tex]\tt 6x=3x-27[/tex]
Subtract 3x from both sides:-
[tex]\tt 6x-3x=3x-27-3x[/tex]
[tex]\tt 3x=-27[/tex]
Divide both sides by 3:-
[tex]\tt \cfrac{3x}{3}=\cfrac{-27}{3}[/tex]
[tex]\tt x=-9[/tex]
The vaule of x that makes the equation true is A) x= -9.
Susie has a rectangular dining room that has an area of 84. What is the area of the largest circular rug Susie can fit in her dining room?
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
[tex]\pi[/tex]r^2 is the formula for a circle (in this case, a circular rug)
and we would set it equal to 84 (since we are trying to get the biggest size possible).
We would isolate r so that r^2 = 84/[tex]\pi[/tex], and r would be around 5.17219.
If we were going by rounding 5 would be the largest radius possible and the radius would be 25[tex]\pi[/tex] or about 78.5398 units.
Answer:
Rounded to one decimal place, the maximum area circular rug that can fit in the dining room is 38.5 square feet.
Please See the attached screenshot for the exact solutions and answer for this question
solve for x ~
[tex]4x - 16 = 64[/tex]
ty ^^
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \:4x - 16 = 64[/tex]
[tex]\qquad \sf \dashrightarrow \:4(x - 4) = 64[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 4) = 64 \div 4[/tex]
[tex]\qquad \sf \dashrightarrow \:x - 4 = 16[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 16 + 4[/tex]
[tex]\qquad \sf \dashrightarrow \:x =20[/tex]
[tex] \boxed{ \bf \huge \: Answer \: }[/tex]
[tex] \: \: [/tex]
[tex] \sf \large \: 4x - 16 = 64[/tex]
[tex] \: \: [/tex]
[tex] \sf \large \: 4x = 64 + 16[/tex]
[tex] \: \: [/tex]
[tex] \sf \large \: 4x = 40[/tex]
[tex] \: [/tex]
[tex] \sf \large \: x = \cancel \frac{80}{4} [/tex]
[tex] \: \: [/tex]
[tex] \sf \large x = 20[/tex]
[tex] \: \: [/tex]
Hope It's Helps uh Miss<3"
What is the solution to the help!!!!!
following equation:
2(3x - 7) + 18 = 10
-
0 1
03
3
5
6
Answer:
x = 1
Step-by-step explanation:
Given:
2(3x - 7) + 18 = 10
Solution:
Subtract 18 from both sides
2(3x - 7) + 18 = 10
- 18 -18
---------------------------
2 (3x-7) = -8
Now divide both sides by 2
2 (3x-7) -8
----------- = ------------
2 2
Simplify
3x - 7 = -4
Then add 7 to both sides
3x - 7 = -4
+ 7 +7
--------------------
3x = 3
Divide both sides by 3
3x 3
----------- = ------------
3 3
x = 1
Thus, Solution : x =1
~Lenvy~
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
Step 1Simplify both sides of the equation
[tex]2(3x - 7) + 18 = 10[/tex]
Distribute
[tex](2)(3x) + (2)( - 7) + 18 = 10 \\ 6x + - 14 + 18 = 10[/tex]
Combine like terms
[tex](6x) + ( - 14 + 18) = 10[/tex]
[tex]6x + 4 = 10[/tex]
Step 2Subtract 4 from both sides
[tex]6x + 4 - 4 = 10 - 4[/tex]
[tex]6x = 6[/tex]
Step 3Divide both sides by 6
[tex] \frac{6x}{6} = \frac{6}{6} [/tex]
[tex]x = 1[/tex]
Given f() = -4x + 3, find f(-3)
Answer:
The answer is 15
Step-by-step explanation:
f(x) = -4x + 3, f(-3)
f(-3) = -4x + 3
f(-3) = -4(-3) + 3
f(-3) = 12 + 3
f(-3) = 15
Thus, The answer is 15
Answer:
f(-3)=-4(-3)+3
=12+3=15
Step-by-step explanation:replace x with -3
please help me Find m
Answer:
60 degree is the value of m
Three students measured the heights of the daffodils they are growing.
2/3
Sofia's daffodil is 4/6
of a foot high
Mateo's daffodil is
of a foot high.
3/8
Deshawn's daffodil is
of a foot high
Which statement correctly compares two of these fractions?
L
A rectangular lot is 80 yards wide and 125 yards long.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.
Answer:
70 yards wide and 135 yards long
Step-by-step explanation:
The perimeter of a rectangle will be the same if the sum of length and width is the same. The area will be smaller if the difference between lenth and width is greater.
__
The sum of length and width will be the same if the length is increased by the same amount that the width is decreased. Changing each by 10 yards is one possibility.
A lot 70 yards wide and 135 yards long will have the same perimeter and a smaller area.
_____
Check
Given perimeter: 2(80 +125) = 410 yds.
Modified perimeter: 2(70 +135) = 410 yds. (same)
Given area = 80(125) = 10000 yd².
Modified area: 70(135) = 9450 yd². (smaller)
__
Additional comment
The area is greatest when the difference between the length and width is zero. That is, the rectangle will be a square.
Given the function f(x) = 4 - 2x, find f(3r - 1).
Answer:
6 - 6r
Step-by-step explanation:
we just plug in 3r - 1 instead of x
f(3r - 1) = 4 - 2(3r - 1)
= 4 - 6r + 2
= 6 - 6r
sebuah Mobil memerlukan Benson sebanyak 45 liter until menempuh jarak 480 km, jika Mobil tersebut menempuh jarak 320 km, maka banyak bensin Yang diperlukan adalah...
jelaskan ya..
Answer:
what??? I can't understand you sorry
write in words
3a- 6
[tex] \frac{1}{2} z \: fy \: 10[/tex]
Answer:
See below ↓↓
Step-by-step explanation:
1) 3a - 6
6 minus the product of 3 and a2) 1/2zfy10
1/2 the product of z,f,y, and 10Please, help me!!! 5 mins left to submit!!
Question 1 Part C (3 points): Choose the answer below that best completes the following statement:
Adding, subtracting, or multiplying two polynomials ___ results in another polynomial.
A. Sometimes
B. Always
C. Never
Solve 96 =3w+ 15, where w is a real number.
2
Round your answer to the nearest hundredth?
Answer:
3+15=18 i guess
Step-by-step explanation:
dont judge me im only in 2 grade
