Sore ThroatNo Sore Throat612Runny Nose43No Runny NoseSend datato Excel(a) Find the probability that a randomly selected student has a runny nose.(b) Find the probability that a randomly selected student has a sore throat.(C) Find the probability that a randomly selected student has a runny nose or a sore throat.(d) Find the probability that a randomly selected student has neither runny nose nor a sore throat.
Answers
To calculate the probabilities asked you need to calculate the margins of the table, i.e. the total numbers of each colum and row, and the total of observations.
To calculate all asked probabilities you have to divide the number of students that have the condition you are interested by the total of students observed by the nurse:
\(P=\frac{nºsuccesses}{Total.number.of.students}\)a) You have to find the probability that a randomly selected student has a runny nose (RN). For this you have to use the margin of the table and divide the total number of students that had a runny nose by the total of students observed by the nurse:
\(P(RN)=\frac{nºstudents.with.RunnyNose}{Total.of.students}=\frac{18}{25}=0.72\)b) To find the probability of randomly selecting a student with sore throat (ST), following the same method as before, you have to work with the total of students observed that had a soar throat and divide it by the total of students.
\(P(ST)=\frac{nºstudents.withSoreThroat}{Total.of.students}=\frac{10}{25}=0.4\)c) In this item you have to calculate the probability that the student has a runny nose or a sore throat.
For the student to present "Runny Nose" or "Sore throat", this determines a union between these two events.
To calculate the union of two non mutually exclusive events you have to follow the rule:
\(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)Since there are elements in common for both events, you are counting the students that have both a runny nose and a sore throat twice, so you have to subtract this intersection once to reach the correct probability value.
I'll call this probability P(C)
\(\begin{gathered} P(C)=P(RN\cup ST) \\ P(RN)+P(ST)-P(RN\cap ST) \\ \frac{18}{25}+\frac{10}{25}-\frac{6}{25}=\frac{22}{25}=0.88 \\ \end{gathered}\)The probability is P(C)=0.88
d) To calculate the probability of the randonmly selected student to have neither state, you have to divide the total number of students that had no sore throat and no runny nose by the total number of students.
I'll call it P(D)
\(P(D)=\frac{nºstudents.without.a.RN.or.ST}{Total.number.of.students}=\frac{3}{25}=0.12\)
Related Questions
Suzie solved a linear equation for y. This equivalent equation was her result. y = 7x + 23 Which equations could have been the linear equation Suzie manipulated? Check all that apply. y + 7x = 23 –7x + y = 23 2y – 14x = 46 y – 7x = –23 7x – y = –23
Answers
Answer: 2,3,5
Step-by-step explanation:
Answer:
b, c, e
Step-by-step explanation:
A baker would like to store 12 and 3/4 pounds of flour in containers that each hold 3 1/2 pounds of flour. How many containers will the baker need? Explain by completing the equation.
Answers
Answer:
4
Step-by-step explanation:
Because he has to store it all and not all would fit in the third container.
find by a digit to make the number divisible by 3 1234?
Answers
A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.
To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.
Let's calculate the sum of the digits in 1234:
1 + 2 + 3 + 4 = 10
The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.
To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.
The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.
1234 + 2 = 1236
we obtain the number 1236, which is divisible by 3.
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please help!!!!!!!!!!!
Answers
The value of x in the given diagram is 12.
option C.
What is the value of x?The value of x in the given diagram is calculated by apply the principle of intersecting chord theorem as shown below;
The intersecting chord theorem states that angle formed at the circumference is twice the angle at the tangent.
the angle at circumference = 360 - (6 + 20x)
tangent angle = 4x + 9
360 - (6 + 20x) = 2 (4x + 9)
360 - 6 - 20x = 8x + 18
-28x = -336
x = 336/28
x = 12
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A primary credit card holder has a current APR of 15.75%. What is the monthly periodic interest rate, rounded to the nearest hundredth of a percent?
O 15.75%
O 13.13%
O 1.31%
O 0.01%
Answers
the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%
What dοes mοney interest mean?Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.
We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).
Hence, the periοdic interest rate fοr each mοnth is:
15.75% / 12 = 1.3125%
The result οf rοunding tο the clοsest hundredth οf such a percent is:
1.31%
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. Seja (G, ·) um grupo tal que para todo x ∈ G temos x
2 = eG. Mostre
que G ´e abeliano.
Answers
Hi I’m looking to get a step by step solution in solving this problem
Answers
Explanation
The formula to be used is:
\(A=P(1+\frac{r}{n})^{nt}\)In our case
\(\begin{gathered} A=13100 \\ P=6500 \\ n=4 \\ t=7 \\ r=? \end{gathered}\)Thus, we have
\(13100=6500(1+\frac{r}{4})^{4\times7}\)Solving for r
\(\begin{gathered} \frac{13100}{6500}=(1+\frac{r}{4})^{28} \\ \\ 2.01538=(1+0.25r)^{28} \end{gathered}\)solving for r
\(\begin{gathered} 2.01538^{\frac{1}{28}}=1+0.25r \\ 1.02534=1+025r \\ \\ 0.25r=1.02534-1 \\ \\ 0.25r=0.02534 \\ \\ r=\frac{0.02534}{0.25} \\ \\ r=0.101379 \end{gathered}\)Therefore, the rate will be 10.1379%
What is the area of a right triangle with a base of 25 centimeters and a height of 13 centimeters?
76 cm
162.5 cm
161 cm
38 cm
Answers
Answer:
162.5 cm²Step-by-step explanation:Area of a triangle = (BH)/2
Base= 25
Height=13
(25×13)/2= 162.5 cm²
how do i factor the "common factor out of each expression?" ex:
12n^6 + 27n^2 - 18
whoever answers correct/ first ill give brainliest
Answers
Answer:
Step-by-step explanation:
A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.
Here we start with the expression 12n^6 + 27n^2 - 18. 'n' does not show up in every term and thus could not be a "common factor" of this expression. On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.
12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)
1) Identify the common factor (here it's 3)
2) Factor that out of the given expression: 3(4n^6 + 9n^2 - 6)
A woman deposits $300 in a savings account that pays 6% annually. If she withdraws all the money in the account after 120 days, how much does she withdraw (rounded to the nearest dollar)?
Answers
The woman will withdraw $300 given 6% interest rate annually.
We can use the formula for simple interest to solve this problem:
I = Prt
where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:
r = 0.06/365 = 0.00016438356
The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:
I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999
The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:
300 + 0.017 = $300.02
Rounding to the nearest dollar, the woman will withdraw $300.
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Evaluate f(x)=x-5 when x= -5, x=0, and x=5When x= -5, f(x) = when x=0, f(x) =and when x= 5, f(x) =
Answers
Given the function:
\(f(x)=x-5\)If we have that x = -5, then evaluating -5 on the function we get:
\(f(-5)=-5-5=-10\)in a similar way, we can find f(0) and f(5):
\(\begin{gathered} f(0)=0-5=-5 \\ f(5)=5-5=0 \end{gathered}\)thus, when x = -5, f(-5)=-10
when x = 0, f(0) = -5
and when x = 5, f(5)= 0
question is pictured below, need to learn steps to solve this and I dont have my book with me
Answers
However, I can still give you some general steps to solve a math problem in 200 words.
Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.
Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.
Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.
Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.
Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.
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Which expression is equivalent to 4(y + 2) ? to
Answers
Answer:
4y+8
Step-by-step explanation:
Answer:4y+8
Step-by-step explanation:
To find an equivalent expression you can just simplify this expression by multiplying the numbers in the parentheses by 4. 4y+8
assuming that the r/w head is initially on the first block (0,0,0) of the disk, compute the access time of the each of the following blocks:
Answers
It would take approximately 12.18 milliseconds to access Block (2, 20, 0) on the disk, assuming that the read/write head is initially positioned on Block (0,0,0).
First, the seek time component of the access time refers to the time it takes for the read/write head to move to the correct track on the disk. In this case, the read/write head must move from track 0 to track 20, which means a seek operation is required.
For simplicity, let's assume that the rotational speed of the disk is 7200 RPM (revolutions per minute) and that there are 8 sectors per track. This means that each sector is separated by an angular distance of 45 degrees (360 degrees / 8). To reach the 2nd sector on track 20, the head must wait for the disk to rotate by (2-1) sectors * 45 degrees/sector = 45 degrees.
The time it takes for the disk to rotate by 45 degrees can be calculated as (45 / 360) * (1 / (7200 / 60)) = 7.14 milliseconds.
This component depends on the size of the block and the transfer rate of the disk. Let's assume that the block size is 4 KB and that the transfer rate is 100 MB/s. The transfer time can be calculated as (4 KB / 100 MB/s) = 0.04 milliseconds.
Adding up the three components, we get the total access time as follows:
Total access time = seek time + rotational latency + transfer time
Total access time = 5 ms + 7.14 ms + 0.04 ms
Total access time = 12.18 ms
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Complete Question:
Assuming that the R/W head is initially on the first block (0,0,0) of the disk, compute the access time of each of the following blocks:
Block (2, 20, 0):
Evaluate the expression when a = 3 and c = -4.
-a+7c
Answers
Answer: -31
Step-by-step explanation:
a = 3 and c = -4.
-a+7c = -3+(7*-4) = -31
Answer:
- 3 + 7(- 4)
- 3 + - 28
= - 31
Hope this helps :)
Help please please please
Answers
Answer:
demographic
Step-by-step explanation:
The local branch of the Internal Revenue Service spent an average of 21 minutes helping each of 10 people prepare their tax returns. The standard deviation was 5.6 minutes. A volunteer tax preparer spent an average of 27 minutes helping 14 people prepare their taxes. The standard deviation was 4.3 minutes. At α = 0.02, is there a difference in the average time spent by the two services? Find the 98% confidence interval for the two means.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
Answers
Answer:
The confidence Interval is [- 0.7053 10.4521]
a: The hypotheses are
H0: μ1=μ2 against the claim Ha :μ1≠μ2
b. The critical value for t∝/2 for 17 d.f t > 2.508 and t < -2.111
c. t= -2.8422
d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.
Step-by-step explanation:
When the standard deviations are not the same then the confidence intervals for mean differences are calculated as
(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2
x1`= 21 x2`= 27
n1= 10 n2= 14
s1= 5.6 s2= 4.3
The degrees of freedom is calculated using
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 17
The t∝/2 for 17 d.f = 2.11
Putting the values
(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2
(21-27) - 2.11√5.6²/10+ 4.3²/14 < u1-u2 <(21-27) +2.11√5.6²/10+4.3²/14
6- 2.11*2.111 < u1-u2 < ( 6 ) +2.11*2.111
6- 4.4521 < u1-u2 < ( 6 ) +5.294
- 1.5479 < u1-u2 < 10.4521
The confidence Interval is [- 0.7053 10.4521]
a: The hypotheses are
H0: μ1=μ2 against the claim Ha :μ1≠μ2
The claim is that there is a difference in the average time spent by the two services
b. The critical value for t∝/2 for 17 d.f t > 2.508 and t < -2.111
The degrees of freedom is calculated using
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 17
c. The test statistic is
t= (x1`-x2`) /√s1²/n1 + s2²/n2
t= (21-27) /√5.6²/10+ 4.3²/14
t= -6/2.111
t= -2.8422
d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.
Lorena's backpack has a mass of 15,000 grams.
What is the mass of Lorena's backpack in kilograms?
Lorena's backpack weighs
kilograms.
Answers
Answer:
1 kg = 1000 grams
15,000 grams = 15kg
3/10 - 1/5=
Find the missing fraction.
Answers
I clearly don't know how to do it if i did i wouldn't be asking for help.
Answers
Answer:
132 degrees
Step-by-step explanation:
answer : 48 degrees
method
1. opposite angles are the same , so CFG os the same as GAC - these two added up are 132 + 132 = 264
2. angles add up to 360 in a quadrilateral , so the sum of the two remaining angles is 360 - 264 = 96
3. because the two remaining angles , ACF and FGA , are opposite , those are equal too. so u just half to get one of them : 96 / 2 = 48
Please please please help me
I really need to pass this I will give brainliest and a lot of points please just help me solve this correctly
Answers
The length of side AB is about 5.87 units.
How to find the side of a right triangle?The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.
Therefore, let's find the length AB in the right triangle.
Using trigonometric ratios,
cos 33 = adjacent / hypotenuse
Therefore,
Adjacent side = AB
hypotenuse side = 7 units
cos 33° = AB / 7
cross multiply
AB = 7 cos 33
AB = 7 × 0.83867056794
AB = 5.87069397562
AB = 5.87 units
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41 is what percent of 120
Answers
Answer: Approximately 34.17%.
Step-by-step explanation: Let's divide 41 by 120. Doing so, we get 0.3466666 looping forever. We can simplify that to .3417, and then turn that into a percentage giving us 34.17%
Charlotte is creating a triangular pennant with geometry software.
The base measure of the pennant on screen is 550 pixels. The height
is 275 pixels. Charlotte resizes the pennant, keeping the aspect ratio
constant, so the height is 165 pixels. What is the scale factor of the
dilation? What is the base of the pennant?
~~~~~~~~~~~~~~
pls help T-T
Answers
Answer:
Base of the Pennant = 330 pixels
Scale Factor =0.6
Step-by-step explanation:
The base measure of the pennant on screen is 550 pixels.
The height is 275 pixels.
\(A$spect Ratio=\dfrac{Base}{Height}=\dfrac{550}{275} =2:1\)
If Charlotte resizes the pennant, keeping the aspect ratio constant.
Height = 165 pixels
Therefore:
\(\dfrac{Base}{165}=\dfrac{2}{1} \\\\$Base= 2 *165 =330\)
Therefore, the scale factor of the dilation \(=\dfrac{330}{550}= \dfrac{165}{275}=0.6\)
Base of the Pennant = 330 pixels
Scale Factor =0.6
Describe the slope of the line.
-2
2
х
+2+(2, -3)
(-2, -3)
The slope is
Find the slope.
Answers
Answer: the slope is 0 if you are talking about what is the slope of 2,-3 and -2,-3 because that’s what is in the picture
Step-by-step explanation: slope is the y values over the x values
Find the volume of the cone. Either enter an exact answer in terms of π or use 3.14 for π. radius is 10 height is 6
Answers
200pi (in terms of pi)
OR
628 (when pi equals 3.14)
Explanation:
I’ve attached my work below
Hope it helps, Let me know if you have any questions!
Have a nice rest of your day :)
The perimeter of a rectangle is 38”. If the length is 3” more than the width, find the width.
Answers
Given:
The perimeter of a rectangle is 38”. If the length is 3” more than the width
Required:
Find the width.
Explanation:
We know the perimeter of the rectangle
\(\begin{gathered} P=2(l+w) \\ \text{ Where, P perimeter} \\ l\text{ length} \\ w\text{ width} \end{gathered}\)Let width is x, So length will be three 3" more than width. That is x + 3
Now,
\(\begin{gathered} P=2(l+w) \\ 2(x+3+x)=38 \\ 2x+3=\frac{38}{2} \\ 2x+3=19 \\ x=8 \end{gathered}\)Width equal 8" and length equal 11"
Answer:
The width is 8". Option B is correct.
Find area, round to nearest tenth
Answers
Answer:
160 in²
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh . . . . base length b, height h
Here, the triangle has a base length of 32 in, and a height of 10 in. Its area is ...
A = 1/2(32 in)(10 in) = 160 in²
Explain two attributes that a rectangle and a square have in common.
Answers
Answer:
All angles and opposite angle are equal;opposite sides are parallel.
Step-by-step explanation:
Answer:
they both have 4 sides and they both have paralell sides.
Step-by-step explanation:
help please I do not understand this.
Answers
Using graphical method to find the solution to the system of linear equation, x = -7/2, y = 1/2
System of Linear EquationThe system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.
The equations given are
2/5x + 2y = -3/7 ...eq(i)-x + 5y = 6 ...eq(ii)Using graphical method, the solution to the system of linear equation is the point of intersection between the two lines.
Using a graphing calculator;
The point of intersection (x, y) are ( - 3.54, 0.494) which can be estimated as x = -7/2, y = 1/2
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1. The diagram below shows motion of a skier. Her position and times are shown in the figure. She begins motion from point A (t=0min), and makes U-turns at B and C. Find A t = 0 min 40 m * t = 2 min 100 m t = 3 min D a) the distance she moves from point A (t = Omin) to C (t= 2 min) b) the distance from point A (t = Omin) to D (t = 3 min) c) her displacement from B (t = 1 min) to C (t = 2 min) 40 m B t = 1 min +
Answers
The motion of the skier from point A to point B, then to point C, and then point D, indicates that the distances and displacement traveled are;
a) The distance from A to C is 280 meters
b) The distance from point A to point D is 360 meters
c) The displacement of the skier from point B to point C is 120 meters.
What is the displacement of an object?Displacement is the change in the position or location of the object.
The possible diagram of the skier in the question can be presented as follows;
A \({}\) C D B
t = 0 min \({}\) t = 2 min t = 3 min \({}\)t = 1 min
ʂ \({}\) ʂ ʂ ʂ
-|-------|------|------|------|-----|------|-----|------|------|-------|-------|--------|-------|-------|-----
0 \({}\) 20 40 60 80 100 120 140 160
The above diagram indicates that we get;
a) The distance from point A (t = 0 min) to point C(t = 2 min) is can be found as follows;
The skier moves from point A to point B then from point B to point C, therefore,
The distance from point A to point B = 160 m - 0 m = 160 m
The distance from point B to point C = 160 m - 40 m = 120 m
The distance from point A to point C is therefore;
AC = 160 meters - 120 meters = 280 metersb) The distance from point A to point D = The distance from point A to point C + The distance from point C to point D as follows;
AD = AC + CD
CD = 120 m - 40 m = 80 m
Therefore;
AD = 280 m + 80 m = 360 m
The distance from point A to point D is 360 metersc) The displacement of the skier from point B (t = 1 min) to C (t = 2 min) can be found as follows;
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