n a large city, 64% of the population under the age of 15 had a cold during the last winter season. A school nurse is hoping to limit the exposure children, under the age of 15 have to a virus. As she explores options, she conducts a study. If a random sample of 33 children under the age of 15 are chosen, use Excel to calculate the probability that more than 62% of them had a cold last winter.
Answers
P(X > 0.62n) = 1 - P(X ≤ 0.62n)
Where:
X is the number of children in the sample who had a cold last winter
n is the size of the sample, which is 33 in this case
To calculate this probability in Excel, we can use the following formula:
=1-BINOM.DIST(0.62*33,33,0.64,TRUE)
Here, we use the BINOM.DIST function to calculate the cumulative probability of getting 0.62n or fewer children with a cold in a sample of size n, assuming a probability of success p of 0.64 (i.e., the proportion of the population under 15 who had a cold last winter). The argument TRUE specifies that we want the cumulative probability. Subtracting this result from 1 gives us the probability of getting more than 0.62n children with a cold, which is the answer we're looking for.
Using this formula, we get a probability of approximately 0.40 or 40% that more than 62% of the sample of 33 children under the age of 15 had a cold last winter.
The probability that more than 62% of them had a cold last winter is approximately 0.40 or 40%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
To calculate the probability that more than 62% of a random sample of 33 children under the age of 15 had a cold last winter, we will use the binomial distribution formula:
P(X > 0.62n) = 1 - P(X ≤ 0.62n)
Where X is the number of children in the sample who had a cold last winter, n is the size of the sample, which is 33 in this case
To calculate this probability in Excel, we can use the following formula:
=1-BINOM.DIST(0.62*33,33,0.64,TRUE)
Here, we use BINOM.DIST function to determine the cumulative probability of getting 0.62n or fewer children with a cold in a sample of size n, assuming a probability of success p of 0.64.
Then Subtracting this result from 1 gives us the probability of getting more than 0.62n children with a cold.
Using this formula, we will get a probability of approximately 0.40 or 40% that more than 62% of the sample of 33 children under the age of 15 had a cold last winter.
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Related Questions
Professor A.B.C company opens his own company, Electronic Tutorial Services, and completes the following transactions in June:
6/1 A.B.C company invests 20,000 in the business.
6/3 Purchased 12,100 of equipment.
6/4 Paid 220 premium for an insurance policy.
6/6 Purchased office supplies on Account 140.
6/9 Purchased a new computer for 9,000. Paid 40% cash agreed to pay the remainder Later.
6/10 Billed student Omar 58 for tutorial services that were performed.
6/14 Paid for the supplies purchased on June 6th.
6/15 the owner suggested to purchased new Building for his company by 22,000
6/25 Received 85 cash from student Salim Ali for tutorial services performed.
6/30 Student billed on June 10 pays the amount due to A.B.C company.
6/30 A.B.C company withdraws 60 for personal use.
Required: Prepare the all Accounting Cycles
Answers
In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.
Accounting Cycles:
1. June 1:
- A.B.C company invests $20,000 in the business.
- Prepare the journal entry:
- Debit: Cash ($20,000)
- Credit: Capital ($20,000)
2. June 3:
- Purchased equipment for $12,100.
- Prepare the journal entry:
- Debit: Equipment ($12,100)
- Credit: Cash ($12,100)
3. June 4:
- Paid $220 premium for an insurance policy.
- Prepare the journal entry:
- Debit: Insurance Expense ($220)
- Credit: Cash ($220)
4. June 6:
- Purchased office supplies on account for $140.
- Prepare the journal entry:
- Debit: Office Supplies ($140)
- Credit: Accounts Payable ($140)
5. June 9:
- Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.
- Prepare the journal entry for the cash payment:
- Debit: Computer ($3,600) [40% of $9,000]
- Credit: Cash ($3,600)
- Prepare the journal entry for the remaining amount:
- Debit: Computer ($5,400)
- Credit: Accounts Payable ($5,400)
6. June 10:
- Billed student Omar $58 for tutorial services performed.
- Prepare the journal entry:
- Debit: Accounts Receivable ($58)
- Credit: Tutorial Services Revenue ($58)
7. June 14:
- Paid for the supplies purchased on June 6th ($140).
- Prepare the journal entry:
- Debit: Accounts Payable ($140)
- Credit: Cash ($140)
8. June 15:
- The owner suggested purchasing a new building for the company for $22,000.
- No journal entry is required at this point. It is a decision made by the owner.
9. June 25:
- Received $85 cash from student Salim Ali for tutorial services performed.
- Prepare the journal entry:
- Debit: Cash ($85)
- Credit: Accounts Receivable ($85)
10. June 30:
- Student billed on June 10 pays the amount due ($58).
- Prepare the journal entry:
- Debit: Cash ($58)
- Credit: Accounts Receivable ($58)
11. June 30:
- A.B.C company withdraws $60 for personal use.
- Prepare the journal entry:
- Debit: Withdrawals ($60)
- Credit: Cash ($60)
These transactions represent the accounting cycles for the given period.
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The dimensions of a rectangular garden is 3 m by 10 m. When both dimensions are increased by equal amounts, the area of the garden doubles. What are the dimensions of the new garden?
Answers
Answer:
5 by 12 m
Step-by-step explanation:
The area for rectangle is LxW
The original area is 3*10, or 30 meters.
When both dimensions are increased, now the area is 60.
We can now inch up slowly to see what works:
3.5 and 10.5=36.75 X
4 and 11=40 X
5 and 12=60 YES!
The new dimensions of the garden are 5 m by 12 m, increased by 2, and the new area is 60 meters^2.
Plz hurry 69 points just cuz im nice
A line has the equation 5y + x = 10 find an equation of a line parallel to this line that has a y-intercept of 7.
Answers
Answer:y equation of the form y = 2x + b, where b is any real number is parallel to y = 2x + 5. The equation y = 2x + 5 is in slope-intercept form, where...
Step-by-step explanation:
The mean height of the students in a class is 152 cm. The mean height of boys is 158 cmwith a standard deviation of 5 cm. And the mean height of girls is 148 cm with a standarddeviation of 4 cm. Find the percentage of boys in the class and also the S.D of heights of allthe students in the class?
Answers
The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively
How to find the percentage of boys in the class?Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class
The given parameters that will help us to get the percentage are
Mean height of the class = 152 cm
Mean height of the boys = 158 cm
The standard deviation of the boys = 5 cm
Mean height of the girls = 148 cm
Standard deviation of the girls = 4 cm
(1) The percentage of boys in the class is
Total mean height = 158 +148 = 306
Percentage = 158/306 * 100 = 51.6%
Then the percentages 51.6/100 * 152 = 78%
(2) The total standard deviation of all the students
Boys + girls = 5+4 = 9 cm
Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively
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The graph of a function is shown.
Which function is represented by the graph?
Answers
Answer:
answer is B tho i jus know
Step-by-step explanation:
The piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if x≥0, Option B is correct.
What is a function?A relation is a function if it has only One y-value for each x-value.
From the given figure it is easily noticed that the function is increasing in nature for x<0 and the function is constant in nature for x>0 because the value of y remains unchanged for any value of x, where x≥0
The value of function is 3 at x=0.
The value of the function is always 3 for all x≥0 .
f(x)=3 for x≥0
The function is a straight line with intercepts (-3,0) and (0,3).
slope = 3-0/0+3
=1
Let us find the y intercept
0=1(-3)+b
b=3
Now equation is y=x+3
For x<0, the function is,
f(x)=x+3
Therefore the piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if x≥0.
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What formula do I use for this? How do I get the points to graph?
Answers
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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BRAINLIEST ANSWER GIVEN Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions. The length of a rectangle is 2 feet longer than the width. The perimeter is 20 feet. Find the dimensions of the rectangle. Length= ?; width=?
Answers
Answer:
length = 6 feetwidth = 4 feetStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where l is the length
w is the width
The length of the rectangle is 2 feet longer than the width is written as
l = 2 + w
Perimeter = 20feet
So we have
20 = 2( 2 + w ) + 2w
20 = 4 + 2w + 2w
4w = 16
Divide both sides by 4
w = 4
Substitute w = 4 into l = 2 + w
That's
l = 2 + 4
l = 6
length = 6 feetwidth = 4 feetHope this helps you
Answer:
w = 4 and L = 10
Step-by-step explanation:
perimeter of a rectangle = 2(l+w)
p = 20
L = 2 + w
w = ?
20 = 2(2 + w + w)
20 = 2(2 + 2w)
20/2 = 2 + 2w
10 = 2 + 2w
10 - 2 = 2w
8 = 2w
w = 8/2 = 4
L = w + 2
L = 4 +2 = 6
w = 4 and L = 10
X
x
60°
у
60°
y = [ ? 1°
Answers
Answer:
90
Step-by-step explanation:
Because angles opposite congruent angles in a triangle are congruent, the triangle is isosceles.
The altitude drawn from the vertex angle of an isosceles triangle is the perpendicular bisector to the side it is drawn.
So, y=90.
Sally is counting her Christmas tree lights. • She has between 500 and 1000 lights. • The hundreds digit of this numbers is a multiple of 3. • The total of all the digits is 10. How many lights could Sally have? See if you can find all 7 possibilities.
Answers
Answer:
Step-by-step explanation:
910
901
640
631
622
613
604
Sally can have seven possible lights
i.e
910, 901, 640, 631, 622, 613, and 604.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The number of Christmas trees is between 500 and 1000.
The number is a hundred digits.
The number is a multiple of 3.
The sum of the digits in each number is 10.
So,
The possible numbers are:
910, 901, 640, 631, 622, 613, and 604.
Thus,
The number of lights Sally can have are
910, 901, 640, 631, 622, 613, and 604.
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find the vertex and y intercept of the quadratic function, and use them to graph the function
Answers
Answer: 540 ft
Step-by-step explanation:
When given the equation in standard form y = ax² + bx + c,
the Axis of Symmetry can be found using the formula x = -b/(2a).
Plug that x-value into the given equation to find the y-value which represents the max (if "a" is negative) or the min (if "a" is positive)
y = -10x² + 160x - 100
↓ ↓ ↓
a= -10 b=160 c= -100
\(\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(160)}{2(-10)}\quad =\dfrac{-160}{-20}\quad =8\)
Max: y = -10(8)² + 160(8) - 100
= -10(64) + 1280 - 100
= -640 + 1180
= 540
PLEASE HELP QUICKLY(25 points)!!
Match the description with the correct answer.
(questions)
———————
y-intercept -
slope-
domain-
range-
is this graph increasing, decreasing or both-
x-intercept-
———————
(answer choices)
(4,0), (0,4), (-2,0), (0,-2), +2, -4,
input values, increasing, decreasing,
both increasing and decreasing, output values
———————
please help quickly its worth 10.34 points on my test
Answers
Answer: In that picture the slope is increasing
Step-by-step explanation: positive rise and positive run (uphill from left to right)
what statements are true about this function
Answers
The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
What is inverse of a function?An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.
now the given functions are,
f(x) = √(2x + 2) and
g(x) = (x^2 -2)/2
Now,
f{g(x)} = f{(x^2 -2)/2}
= √(2(x^2 -2)/2 + 2)
= √ x^2 -2 + 2
f{g(x)} = √ x^2
f{g(x)} = x
Now,
g{f(x)} = g{ √(2x + 2)}
= (√(2x + 2)^2 -2)/2
= (2x + 2) -2 /2
= 2x/2
f{g(x)} = x
Here we see that ,
f{g(x)} = g{f(x)}
Hence f and g are not inverses.
∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
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Pls help me I really nee it pls pls pls pls
Answers
A customer's entire breakfast bill is $8. If the customer pays the server for the entire bill plus a 25% tip, what is total amount the customer pays?
A. $6
B. $10
C. $20
D. $32
Answers
Answer:
10
Step-by-step explanation:
Express the given trigonometric functions in terms of the same function of a positive acute angle.sec 948 degrees, cos(-948) degrees
Answers
Given the Trigonometric Functions:
\(\begin{gathered} sec(948\text{\degree}) \\ \\ cos(-948\text{\degree}) \end{gathered}\)Using your calculator you get:
\(sec(948\text{\degree})\approx-1.49\)By definition, Secant is negative in Quadrant III.
Finds its Reference Angle as follows:
\(948\text{\degree}-5\cdot180\text{\degree}=48\text{\degree}\)Because:
\(\frac{948}{180}\approx5\)Then, you get:
\(=-sec\left(48\text{\degree}\right)\)Notice that:
\(cos(-948\text{\degree})\approx-0.67\)Then, you can conclude that it is in Quadrant II.
Therefore its Reference Angle is:
\(5\cdot180\text{\degree}-948\text{\degree}=-48\)So you can set up:
\(=-cos\lparen-48)\)By definition:
\(cos(-\theta)=cos\theta\)Therefore, you can rewrite it in this form:
\(=-cos(48\text{\degree})\)Hence, the answer is:
\(\begin{gathered} sec(48\text{\degree}) \\ \\ -cos(48\text{\degree}) \end{gathered}\)uhhh ion know how to do it ore what the answer is
Answers
Answer:4^6
Step-by-step explanation:
Properties of exponents dictates that when a power is raised to a power, you multiply the exponents so 3*2 =6 meaning that the expression is equal to 4^6
O
Which of the following could be used to calculate the area of the sector in the circle sho
O
m(Sin)
O
WE OD
m(Sin)2
O n(30in)2
O
r-5 in 30
m(30in)
O
above? (5 points)
Answers
The Circle Sector Area correct answer is: O n(30in)2
To calculate the area of the sector in the circle, you would typically use the formula:
Area = (θ/360) * π *\(r^2\)
where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
From the options you provided, the correct choice would be:
O n(30in)2
This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)
Therefore, the Circle Sector Area correct answer is: O n(30in)2
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A map of a park says its scale is 1 to 100
What do you think that means?
Answers
Answer:
that for every 1 foot on the map its 100 feet in real life so if on the map the water fountain is 10 feet from the baseball feild than in real life its 1000 feet in real life
Step-by-step explanation:
Which line segments are intersecting?
А
B
Answers
Answer:
The answer is B.
Step-by-step explanation:
Intersecting Definition: divide (something) by passing or lying across it.
I need help on this asap
Answers
Answer: 13.7ft (1 decimal place)
Step-by-step explanation:
For this question you will have to use Pythagoras theorem.
The formula for the short side is x²=c²-b² and when you put the numbers from this question into it you get x²=15²-6²
15²=225
6²=36
x²=225-36
x²=189
Then, as you want to find x on its own, you would have to square root 189 which is 13.7 (1 decimal place).
Hope this helps :)
Consider the division expression 713÷ 3. Select all multiplication equations that correspond to this division expression.
:options
3⋅?=7 1/3
7 1/3⋅?=3
3⋅7 1/3=?
?⋅7 1/3=3
?⋅3=7 1/3
Answers
Answer: here
Step-by-step explanation: id say about 322 cuase of the decimal
What is the sum of the fractions? Use the nurnber line and equivalert fractions to help find the answer.
o-1
o
Answers
Answer:
-3/4
Step-by-step explanation:
-5/4 + 2/4 = -3/4
Hope this helps :)
What is |1 - 8i|?
Please answer this question
Answers
Answer:
the answer is complicated it is 5 actully
Step-by-step explanation:
the answer is 5
Answer:
√(65) Simplified
Step-by-step explanation:
Instructions: Write the rule (equation) for the following table. Do not include spaces in your answer.
Answers
Solution
Ste 1
From the table, we can see that y is a multiple of x.
Step 2:
When x = -1, y =
\(\begin{gathered} \text{Find the constant of proportionality k} \\ \text{k = }\frac{6}{-1}=\text{ }\frac{-12}{2}\text{ = }\frac{-24}{4}=\text{ }\frac{-36}{6}\text{ = -6} \end{gathered}\)Step 3
he equation relatiing y and x isy = kx
\(\text{y = -6x}\)Fnal answer
y = -6x
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
Answers
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
The question what function matches the graph?
A) linear
B) exponential
C)Geometric
D)Quadratic
Answers
Lyla invests $2,500 into a savings account
which earns 5% per year. In 15 years, how
much will Lyla's investment be worth if interest
is compounded semiannually (twice a year)?
Round to the nearest dollar.
Answers
Answer:
We can use the formula for compound interest to find the future value of Lyla's investment:
A = P(1 + r/n)^(nt)
where A is the future value, P is the principal (initial investment), r is the annual interest rate as a decimal, n is the number of times interest is compounded per year, and t is the time in years.
Substituting the given values, we get:
A = $2,500(1 + 0.05/2)^(2*15)
Simplifying, we get:
A = $2,500(1.025)^30
Using a calculator, we get:
A ≈ $5,016.35
Therefore, Lyla's investment will be worth approximately $5,016.35 in 15 years if interest is compounded semiannually. Rounded to the nearest dollar, the answer is $5,016.
Help Me Please!!!!!!!!!!!
Answers
Answer:
Have a good day
Step-by-step explanation: and so have a good day
find the product:
(-9)(-4)
Answers
Answer:
36
Step-by-step explanation:
-9*-4=36
Jesper can run 6 miles in 45 minutes. He is thinking about running in two different races, a 9-mile race and a 15-mile race. At his current rate, how many more minutes will it take Jesper to complete the 15-mile race than the 9-mile race?
Answers
Find minutes per mile by dividing time by distance:
45 minutes / 6 miles = 7.5 minutes per mile
Now multiply his speed by each distance:
7.5 x 9 = 67.5 minutes
7.5 x 15 = 112.5 minutes
Now subtract the two:
112.5 - 67.5 = 45 minutes more
It will take Jesper 45 more minutes to complete the 15-mile race than the 9-mile race at his current running speed.
Jesper's running speed is 6 miles in 45 minutes.
To find out how long it will take him to complete the races, you can use the formula:
Time = Distance / Speed
Let's calculate the times for both races:
For the 9-mile race:
Time = 9 miles / (6 miles/45 minutes)
= 9 × (45/6)
= 67.5 minutes
For the 15-mile race:
Time = 15 miles / (6 miles/45 minutes)
= 15 × (45/6)
= 112.5 minutes
The difference in time between the 15-mile race and the 9-mile race will be:
Difference = Time for 15-mile race - Time for 9-mile race
= 112.5 minutes - 67.5 minutes
= 45 minutes
So, it will take Jesper 45 more minutes to complete the 15-mile race than the 9-mile race at his current running speed.
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