In a freshman class of 80 students,22 students take Consumer Education,20 students take French,and 4 students take both.Which equation can be used to find the probability,P, that a randomly selected student from this class takes Consumer Education, French,or both?

A: P = 11/40 + 1/4 + 1/20

B: P = 11/40 + 1/4

C: P = 11/40 + 1/4 - 1/20

D: P = 11/40 + 1/4 - 1/10

Answers

Answer 1
Answer: Choice C

P = 11/40 + 1/4 - 1/20

=========================================================

Explanation:

The formula we use is

P(A or B) = P(A) + P(B) - P(A and B)

In this case,

P(A) = 22/80 = 11/40 = probability of picking someone from consumer educationP(B) = 20/80 = 1/4 = probability of picking someone taking FrenchP(A and B) = 4/80 = 1/20 = probability of picking someone taking both classes

So,

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 11/40 + 1/4 - 1/20

which is why choice C is the answer

----------------

Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.


Related Questions

The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. (a) What is the probability that there are no major cracks in a 10-mile stretch of the highway

Answers

Answer:

[tex]P(Y=0) = 0.1353[/tex]

Step-by-step explanation:

From the question we are told that:

Exponential distribution mean [tex]\=x = 5 miles[/tex]

Distance [tex]d=10miles[/tex]

Generally the equation for Exponential distribution is mathematically given by

 [tex]\lambda=\frac{1}{E(X)}[/tex]

 [tex]\lambda=\frac{1}{5}[/tex]

Therefore

Possion Y

 [tex]10\lambda=10*(1/5)[/tex]

 [tex]10\lambda=2[/tex]

Generally the equation for  The probability that there are no major cracks in a 10 mile stretch of the highway is mathematically given by

 [tex]P(Y=0) = \frac{e-2 (2)0}{0!}[/tex]

 [tex]P(Y=0) = e-2[/tex]

 [tex]P(Y=0) = 0.1353[/tex]

What is the future value of a R 75 000 deposit made every 6 months for 3 years using an annual rate of 10% compounded semi-annually?​

Answers

Answer:

The future value is: RS 132867.075

Step-by-step explanation:

Given

[tex]PV = 75000[/tex] --- present value

[tex]r = 10\%[/tex] --- annual rate

[tex]n = 6[/tex] --- number of times compounded (3 years/ 6 months)

Required

The future value

This is calculated as:

[tex]FV =PV * (1 + r)^n[/tex]

[tex]FV = 75000 * (1 + 10\%)^6[/tex]

[tex]FV = 75000 * (1 + 0.10)^6[/tex]

[tex]FV = 75000 * (1.10)^6[/tex]

[tex]FV = 132867.075[/tex]

Hence, the future value is: RS 132867.075

How many solutions does the nonlinear system of equations graphed below have?

Answers

Answer:

2

Step-by-step explanation:

2 is the answer because the circle touches the line only 2 times.

Hope this helps.

A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
х
y
1
9
N
6
LinReg
y = ax+b
0=-3.6
b=12.8
r2=.9969230769
r=-.9984603532
3
2
4
-2
5
-5
What is the line of best fit?
A. y = -3.6x + 12.8
O B. -0.998 = -3.6x + 12.8
O c. y = 12.8x - 3.6
D. y = -0.998x + 12.8

Answers

Answer:

Step-by-step explanation:

A y = -3.6x + 12.8

The line of best fit is,

⇒ y = - 3.6x + 12.8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, Given that;

⇒ y = ax + b.

And, the best fitting line has values of a = - 3.6 and b = 12.8.

Hence, All you need do is put that into the general equation and try different values for it.

So you have y = - 3.6 x + 12.8

Now Let's run a couple of numbers.

The table shows 1 and 9 for the first entry. This means when x = 1, y should come pretty close to nine.

y = - 3.6(1) + 12.8

y = 9.2

Which is not a bad result for x = 1

You might want to check to see if anything else comes closer in your choices. If it does, then you have to try other points.

C

-0.998 = -3.6(1) + 12.8

This answer cannot work. We've already shown that x =1 will leave us close to 9  not -998

So, C is incorrect.

B

y = 12.8x - 3.6

Let x = 1

y = 12.8(1) - 3.6

y = 9.2 is right by coincidence. We must try another value. The hardest one is going to be 5 and - 5

y= 12.8*5 - 3.6

y = 64 - 3.6 which is no where's near - 5.

So B is wrong.

A

y = -0.998(1) + 12.8 Does this give 9 or anywhere near it? 11.802 You might argue that that is not a bad result. So let's try another pair.

x = 3. y should come to somewhere near 2.

y = -0.998 * 3 + 12.8 which comes to roughly nine. You can check this out.

It is not close enough to 2 to be acceptable.

Thus, The correct option is,

⇒ y = - 3.6x + 12.8

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I need help 6+2 plz answer for brain

Answers

Answer:

8

Step-by-step explanation:

i have 6 apples + 2 peers

Answer:

6 plus 2 equals 8

Step-by-step explanation:

If you have 6 apples and your mom gives you 2 more apples then you will have 8 apples.

6,7,8

If someone can pls give the answer with steps that would be greatly appreciated :)

Answers

Answer:

Slope = 3

intercept = 2

y = 3x + 2

angle y = 70

angle x = 110

Step-by-step explanation:

0. 1. 9. In Sujata asked 100 coffee drinkers whether they like cream or sugar in their coff According to Venn diagram below, how many like. (a) Cream (b) Sugar (c) Sugar but not cream (d) Cream but not sugar (e) Cream and sugar (f) Cream or sugar​

Answers

Answer:

36, 55 , 35, 16, 20, 71

Step-by-step explanation:

Total number of coffee drinkers, U = 100

Let

n(Cream) = C

n(Sugar) = S

n(cream and sugar) = n(CnS) = 20

Number that like cream = n(C) +  n(CnS) 16 + 20 = 36

Nunber that like sugar = n(S) +  n(CnS) = 35 + 20 = 55

Sugar but not cream = 35 (from. Venn diagram)

Cream but not sugar = 16 (From. Venn diagram)

Cream and sugar =  n(CnS) = 20

Cream or sugar =  n(CuS) = 16 + 20 + 35 = 71

prove that 1 + sin a + cos 2A upon 1 + Sin A minus Cos 2A = 2 cot a prudent

Answers

Answer:

LHS×0=RHS×0

0=0

hence,proved

Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to xxx is 5/3 In other words, a change of 1 unit in x corresponds to a change of 5/3 units in y. Graph the line and write the equation of the line.


Use numbers 1-9 in the graph negative and positive THANK YOU

Answers

Answer:

The equation of the line is, "y = 5/3x."

Step-by-step explanation:

Here are the pictures of the graph and points attached:

Nikki bought a patio set on sale for $480. The original price was $850. What was the rate of discount?

Round your answer to the the nearest tenth of a percent

Answers

Answer:

43.5 % decrease

Step-by-step explanation:

Take the original price and subtract the new price

850-480

370

Divide by the original price

370/850

.435294118

Change to percent form by multiplying by 100

43.5294118 % decrease

43.5 % decrease

calculate the surface area and the volume of cube with length 10m and 13cm​

Answers

Answer:

Cube with 10 cm

SA = 600 cm V = 1000 cm

Cube with 13 cm

SA = 1014 cm V = 2197

Step-by-step explanation:

SA = 6[tex]s^{2}[/tex]

V = [tex]s^{3}[/tex]

s = side length

Evaluate the expression for x=1 and y=9
3x+y=

Answers

3+9 = 12…………………………gdss goodnigh

Answer:

12

Step-by-step explanation:

x = 1 and y = 9 so 3x1 + 9 = 12 as 3 x 1 is 3 and adding 9 to it will give 12

I would appreciate if someone could answer this :)

Answers

Answer:

x = 8

y = 6

Step-by-step explanation:

Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.

Therefore,

LP = PN

x = y + 2 (eqn. 1)

PM = KP

2x - 8 = y + 10 (eqn. 2)

Substitute x = y + 2 into eqn. 2 to find y

Thus:

2(y + 2) = y + 10

2y + 4 = y + 10

Take like terms

2y - y = -4 + 10

y = 6

Substitute y = 6 into eqn. 1 to find x:

x = y + 2 (eqn. 1)

x = 6 + 2

x = 8

Write the rational number as a decimal.

−11/5

Answers

-11/5 = -11 ÷ 5 = -2.2

Answer:

-2.2

Let $a$ and $b$ satisfy $ab=7$ and $a+b=5$. What is the value of $a^2 + b^2$?

Brainly to correct answer!

Answers

Answer:

11

Step-by-step explanation:

(a+b)^2=a^2+b^2+2ab

a^2+b^2=(a+b)^2-2ab

=5^2-14

=11

The answer is 11 is correct for the answer

Which of these graphs represents a function?

Answers

Answer:

[tex]{ \tt{graph \: y \:and \:graph\: z}}[/tex]

What miss take did she do.

Answers

Answer:

the scale factor is

-2 and

-4

help plsss it’s timed i need to passss plsss

Answers

Answer:

65°

Step-by-step explanation:

To obtain Angle A, we use the cosine rule ;

Cos A = (b² + c² - a²) / 2bc

Cos A = (12² + 14² - 14²) / 2(12)(14)

Cos A = 144 / 336

A = Cos^-1(144/336)

A = 64.62°

A = 65°

What’s the simplification

Answers

Answer:

D. [tex]4^{15}[/tex]

Step-by-step explanation:

[tex]=(4^3)^5[/tex]

Multiply the exponent inside the parenthesis with the exponent outside.

[tex]=4^{15}[/tex]

Hope this helps.

Answer:

4^15

Step-by-step explanation:

Ok, so lets replace the base, 4, with x so we don’t get confused by it:

(X^3)^5

When we raise a power to a power, we multiply them , so:

(X^15)

Remember x is 4, so:

4^15 is the answer

Each bag needs 5.44 oz of dough the baker purchased 13.6 lab of dough how many bags of bread can be produce

Answers

Step-by-step explanation:

10075 .+#!!#+#!$!$++$7$+"$($(

Which is the graph of f(x) = x2 - 2X + 3?

Answers

The graph is the one with coordinates (1,2) as the center.
It’s the first graph of there is a graph that looks exactly like that one then it could also be that but from what I see it is the first one

PLEASEEEEEE HELPPPPPP IM BEGGGGINGGG SOMEONE PLEASEEEEE PLEASEEEEEEE​

Answers

The answer is 140.

Interior angles equal 180…so 180-120-20= 40. 40 is your x value. Angles on a straight line equal 180, so 180-40=140.

Answer:

x+120°+20°=180°[ sum of interior angle of triangle]

x+140°=180°

x=40°

then,

x+y= 180°[being straight line]

40°+y= 180°

y=140°

Recent incidents of food contamination have caused great concern among consumers. An article reported that 31 of 80 randomly selected Brand A brand chickens tested positively for either campylobacter or salmonella (or both), the leading bacterial causes of food-borne disease, whereas 61 of 80 Brand B brand chickens tested positive.

Required:
a. Does it appear that the true proportion of non-contaminated Perdue broilers differs from that for the Tyson brand? Carry out a test of hypotheses using a significance level 0.01 by obtaining a P-value.
b. If the true proportions of non-contaminated chickens for the Perdue and Tyson brands are 0.50 and 0.25, respectively, how likely is it that the null hypothesis of equal proportions will be rejected when a 0.01 significance level is used and the sample sizes are both 80?

Answers

Answer:

a) z(s)  is in the rejection region for H₀  we reject H₀.

We have enough support to conclude that the two populations are different  

z(s) is in the rejection region so we reject H₀

The two population have a different proportion of non-contaminated food

Step-by-step explanation:

Conditions:

-Independent samples

-Random samples

- Size samples big enough

a) A Brand Chickens Sample:

sample size   n₁  = 80

We will go through a z- test

number of contamination cases  x₁  =  31

Then   p₁  =  31/80     p₁  =  0.3875    and  q₁  =  1 - p₁  ; q₁ = 1 - 0.3875

q₁  =  0.6125

B Brand Chickens Sample:

sample size   n₂  =  80

number of contamination cases  x₂  =  61

Then  p₂ = 61/80   p₂ = 0.7625  and  q₂ =  1  -  p₂ ;   q₂  =  1  -  0.7625

q₂  =  0.2375

Hypothesis Test:

Null Hypothesis                                  H₀     p₂ =  p₁

Alternative Hypothesis                      Hₐ     p₂ ≠ p₁

The alternative hypothesis call for a two-tail test ( ≠ ) we will test if the proportion differs )

A significance level  α =  0.01   then    α/2 = 0.005

From z -Table     α/2  =  0.005  correspond to z(c) =  2.575

To calculate z(s)

z(s)  =   ( p₂  -  p₁ ) / √( p₁*q₁/n₁) + (p₂*q₂)/n₂)

z(s)  = (  0.7625  -  0.3875 ) / √(0,3875*0.6125)/80 + (0.7625*0.2375)/80

z(s)  = ( 0.375 ) / √(0.00296) + (0.00226)

z(s)  = ( 0.375 ) /0.072

z(s)  =  5.21

Comparing    z(s)   and   z(c)    z(s) > z(c)

z(s)  is in the rejection region for H₀  we reject H₀.

We have enough support to conclude that the two populations are different

b) folowing the same procedure now talking about non-contaminated chickens

Tyson  Brand Chickens  p₁ =  0,5   then  q₁ = 0.5

Perdue Brand chickens  p₂ = 0.25 then  q₂ = 0.75

n₁ = n₂ = 80

Hypothesis Test:

Null Hypothesis                        H₀            p₁  = p₂

Alternative Hypothesis            Hₐ            p₁ ≠ p₂

Alternative hypothesis indicates a two-tail test

z(c)  =  2.575

And z(s)  =  (0.5 - 0.25)/ √(0.5*0.5)/80  + (0.25*0.75)/80

z(s) = 0.25 / √( 0.003125 + 0.002343

z(s) = 0.25 / 0.0739

z(s) = 3.38

Comparing z(s)  and z(c)

z(s) >  z(c)  

z(s) is in the rejection region so we reject H₀

The two population have different proportion of non-contaminated food

I’ll give u brainlest if u answer this question

Answers

The answer for the question is going to be 25in

25x power square - 36 y power square​

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { (5x + 6y)(5x - 6y) }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] ={25x}^{2} - 36 {y}^{2} [/tex]

[tex] = ({5 \times 5)x}^{2} - (6 \times 6){y}^{2} [/tex]

[tex] = ({5x})^{2} -( {6y})^{2} [/tex]

[tex] = (5x + 6y)(5x - 6y)[/tex]

Note:

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

helppp thxxxxxxxxxxx

Answers

Answer:

YES

Step-by-step explanation:

Yes, because the golden ratio has the value of 1.61803398875

The ratio 8.8:5.5 = 1.6.

They are very close, so yes.

The Utica Boilermaker is a 15-kilometer road race. Sara is signed up
to nin this race and has done the following training runs:
I.
10 miles
II.
44,880 feet
III. 15,560 yards
Which run(s) are at least 15 kilometers?

Answers

Answer:

10 miles

Step-by-step explanation:

10 miles= 16093.44km

44880ft=13.679424km

15560yards= 14.228064

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 25%, and the final exam is worth 27%. Compute the weighted average for the following scores: 74 on the lab, 69on the first major test, 62 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place.)

Answers

Answer:

72.7 is the weighted average score

Step-by-step explanation:

The weighted average score

= score of lab * % share of total grade + score of first major test  * % share of total grade + score of second major test  * % share of total grade + Score of the final exam  * % share of total grade

Substituting the given values, we get -

0.23 * 74 + 0.25 * 69 + 0.25 * 62 + 0.27 * 85

= 72.7

(Show full work please) Carter spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 7250 feet.
Carter initially measures an angle of elevation of 16 to the plane at point A. At some
later time, he measures an angle of elevation of 26° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary

Answers

Consult the attached diagram.

In the larger triangle,

tan(16°) = (7250 ft) / (x + y)

and in the smaller triangle,

tan(26°) = (7250 ft) / y

You want to solve for x.

From the first equation (I'm ignoring units from here on, all distances are measured in ft), you have

(x + y) tan(16°) = 7250

x tan(16°) + y tan(16°) = 7250

x tan(16°) = 7250 - y tan(16°)

x = 7250 cot(16°) - y

From the second equation,

y = 7250 cot(26°)

Solving for x gives

x = 7250 cot(16°) - 7250 cot(26°)

x = 7250 (cot(16°) - cot(26°))

x ≈ 10,433 ft

The distance the plane traveled from point A to point B is 10,433 ft.

We have given that,

Carter spots an airplane on the radar that is currently approaching in a straight line, and that will fly directly overhead.

The plane maintains a constant altitude of 7250 feet.

In the larger triangle,tan(16°) = (7250 ft) / (x + y)and in the smaller triangle,

What is the tan ratio?

[tex]tan(\ theta)=\frac{\\opposite \side }{hypotenouse}[/tex]tan(26°) = (7250 ft) / y

we have to solve for x.

From the first equation (I'm ignoring units from here on, all distances are measured in ft),

you have

(x + y) tan(16°) = 7250

x tan(16°) + y tan(16°) = 7250

x tan(16°) = 7250 - y tan(16°)

x = 7250 cot(16°) - y

From the second equation,

y = 7250 cot(26°)

Solving for x gives

x = 7250 cot(16°) - 7250 cot(26°)

x = 7250 (cot(16°) - cot(26°))x ≈ 10,433 ft

Therefore the distance the plane traveled from point A to point B is 10,433 ft.

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camila is saving money to buy a 5 piece drum set that costs $360. She already has 80.00 saved and can earn the rest of the money by washing 20 cars. If m represents how much she earns for washing each car, which of the following equations can be solved to find how much Camila is paid for washing each car? Does anyone know
A. 20m -80 = 360
B. m(20+80) = 360
C. 360-80=20m
D. 80 + m= 360

Answers

C.

The total cost of the drum set is $360 and she already has $80 saved. In order to calculate how much she still needed, you would need to subtract $80 from $360.

Amount needed = $360 - $80.

It tells you that she can earn the rest by washing 20 cars, and asks you to find how much she makes for washing each car. This would represent an unknown, which would be multiplied by 20 to equal the amount needed.

Money earned from washing cars = 20m.

Therefore, this equation can be represented by:

$360 - $80 = 20m.

Answer:

c

Step-by-step explanation:

two plus two

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