A weather forecaster claimed the chance of rain next week on Monday is 50% and the chance it rains on Tuesday is 80%. Is the probability that it rains next
Monday and Tuesday equal to 40%?
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
O No, because the chance of rain on Monday and the chance of rain on Tuesday are not independent.
O No, because the chance of rain Monday and the chance of rain Tuesday are not mutually exclusive.
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are mutually exclusive,

Answers

Answer 1

Answer:

A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.

Step-by-step explanation:

We are given;

chance of rain next week on Monday is 50%. Thus;

P(rain next Monday) = 0.5

chance it rains on Tuesday is 80%. Thus;

P(rain next Tuesday) = 0.8

From independent events, we can say that;

P(A and B) = P(A) × P(B)

A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.

Thus;

P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4

This can also be written as 40%

Correct answer is option A since both events are independent


Related Questions

Jenna❤️Jenna❤️❤️L’s recipe calls for 1/2 cup of flour she only has 1/4 cup measure which equivalent fraction shows the amount of flowers she could use for the recipe

Answers

Answer:

1/2 divided by 1/4

Step-by-step explanation:

so 2

hope this helps :)

Petro was given this system of equations. Negative 14 x minus 2 y = 24. 14 x + 8 y = negative 12. Petro’s work is shown in the table. Where, if anywhere, did Petro first make a mistake? Steps Petro’s Work Step 1 Negative 14 x minus 2 y = 24. 14 x + 8 y = negative 12. 6 y = 12. Step 2 6 y = 12. y = 2. Step 3 Negative 14 (2) minus 2 y = 24. Negative 28 minus 2 y = 24. Negative 2 y = 52. y = negative 26.
step 1
step 2
step 3
no mistake

Answers

Answer:

C Step 3

Step-by-step explanation:

Answer:

C: Step 3 is where the mistake was made

Step-by-step explanation:

its due soon help ill give brainliest
The price of a pair of headphones at Store A is 3/4 the price at Store B.
The price at Store A is $89.25. Find how much you save by buying the headphones at Store A
a. 119
b. 72
c. 29.75

Answers

The answer is C, 29.75

Answer:

alt answer to give ya brainliest nxsdsvfkbjnvbc

Step-by-step explanation:

cnrgnsdmx

Why is a scale factor of 2 the same as 200%?

Answers

Answer:

the action of deposing someone, especially a monarch.

Step-by-step explanation:

Simplify 8 over negative 4 ÷ negative 3 over 9 . (5 points)

Answers

Answer:

6

Step-by-step explanation:

[tex]-\frac84 divided-\frac39\\-2 divided- \frac13\\-2 \cdot -3\\6[/tex]

7th grade math help me please :))

Answers

Answer:

no because the absolute value of -7 is 7 which is greater than the absolute value of 6 which is 6.

4(x-1)-2(3x+5) =-3+1

Answers

Answer:

x= -8

Step-by-step explanation:

4(x-1)-2(3x+5)=-3+1

4x-4-6x-10=2

-2x-14=2

-2x=16

x= -8

plz help what is the square root of pi

Answers

Answer:

Approximately 1.77

To solve it I used a scientific calculator

Answer:The square root of Pi is approximately 1.77245.

Step-by-step explanation:

i hope i got it rigth ....

Solve the inequality. Choose the number line that represents the inequality.
n+5<7

Answers

Answer:

3

Step-by-step explanation:

3+5 =8>7

Answer:

N<2

Step-by-step explanation:

help me please with this math problem [(7 + 3) • 5 – 4] ÷ 2 + 2

Answers

Answer:

[(7+3).5-4]/2+2

[46]/2+2

23+2

25

Answer: 25

Step-by-step explanation:

Follow the order of operations: PEMDAS

[(7+3) * 5-4] / 2+ 2

[10*5-4]/2+2

[50-4]/2+2

46/2+2

23+2

= 25

$2,000 lounge suite was sold under a hire purchase agreement. A deposit of $200 was made. The balance and interest were then paid off in equal monthly instalment of $68 over 3 years.

How much did the lounge suite cost in total?

Answers

The Lounge suite price in total is, $2648.

Given that, $2,000 lounge suite was sold under a hire contract. A deposit of $200 was made. The balance and interest were then paid off in equal monthly instalment of $68 over three years.

Under a rent purchase agreement, a purchaser pays an initial deposit and takes the item away. The purchaser  makes regular repayments (instalments). The instalments embrace each repayment of the debt and also the interest being charged by the seller. At the top of the amount of the agreement, the purchaser owns the item.

As mentioned, the lounge suite was purchased by paying $200 deposit and also the rest quantity through instalments i.e $68 over three years.

The total price of the lounge suite are going to be,

total price = deposit amount + instalments

               = $200 +  $68 over 3years

               = $200 + $68 (3* 12)            ( since, annually has twelve months)

                =$200 + $68(36)

                =$200 + $2448

                =$2648

Therefore the overall price of the lounge suite is, $2648.

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Converse statement. If this month is February then the next month is march

Answers

Answer:

If the month is march then the next month is February

Step-by-step explanation:

[2.1 + (8 - 4) - 1.25] = ?

Answers

Answer:

4.85

Step-by-step explanation:

Answer:

4.85

Step-by-step explanation:

[2.1 + 4 - 1.25]

= (6.1 - 1.25)

=4.85

y is directly proportional to the square of x.
When y= 24, x= 2.
Find the value of y when x=4.​

Answers

Answer:

y= 48

Step-by-step explanation:

X was doubled so i believe this is correct

Have a great day!!!

Solve the system
4x+5x= -27
x+9y= 1​

Answers

Answer:

x=-3, y = 4/9

Step-by-step explanation:

This is in equation form.

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:

Let [tex]\alpha[/tex] be positive real number.
Let f:[tex]\mathbb{R}\to\mathbb{R}[/tex] and g:[tex](\alpha,\infty)\to\mathbb {R}[/tex] be the function defined by
[tex] \rm f(x) = \sin \bigg( \dfrac{\pi x}{12} \bigg ) \: and \: g(x) = \dfrac{2 log_{e}( \sqrt{x} - \sqrt{ \alpha } ) }{ log_{e}( {e}^{ \sqrt{x} } - {e}^{ \sqrt{ \alpha } } ) } [/tex]
Then the value of [tex] \rm \lim_{x \to { \alpha }^ + } f(g(x)) \\ [/tex] is​

Answers

First, [tex]f(x)[/tex] is continuous on its domain, so

[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = f\left(\lim_{x\to\alpha^+} g(x)\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(\frac\pi6 \lim_{x\to\alpha^+} \frac{\ln\left(\sqrt x - \sqrt\alpha\right)}{\ln\left(e^{\sqrt x} - e^{\sqrt\alpha}\right)}\right)[/tex]

As [tex]x\to\alpha^+[/tex], [tex]\sqrt x-\sqrt\alpha\to0[/tex] and [tex]e^{\sqrt x}-e^{\sqrt\alpha}\to0[/tex], so overall we have an indeterminate form ∞/∞. Apply l'Hôpital's rule and simplify.

[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(\frac\pi6 \lim_{x\to\alpha^+} \frac{\frac1{2\sqrt x\left(\sqrt x - \sqrt\alpha\right)}}{\frac{e^{\sqrt x}}{2\sqrt x\left(e^{\sqrt x} - e^{\sqrt\alpha}\right)}}\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(-\frac\pi6 \lim_{x\to\alpha^+} \frac{e^{-(\sqrt x-\sqrt\alpha)} - 1}{\sqrt x - \sqrt\alpha}\right)[/tex]

Substitute [tex]y=\sqrt x-\sqrt\alpha[/tex], so that [tex]x\to\alpha^+\implies y\to0^+[/tex].

[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(-\frac\pi6 \lim_{y\to0^+} \frac{e^{-y} - 1}y\right)[/tex]

The remaining limit is the right-derivative of [tex]e^{-y}[/tex] at [tex]y=0[/tex], so

[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(-\frac\pi6\frac{de^{-y}}{dy}\bigg|_{y\to0^+}\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(\frac\pi6\right) = \boxed{\frac12}[/tex]

Geometry. PLS help asap 20 points

Answers

Answer:

you need to prove AB=AD

Step-by-step explanation:

3. 32-(5.23) I need answers quick

Answers

Answer:

[tex] \sf \large \: - 31[/tex]

Step-by-step explanation:

3²−5(2³)

=9−5(2³)

=9−(5)(8)

=9−40

=−31

5. Jade has $59.87 in her checking account.
She buys his mom a birthday present for $25.98.
How much money is left in her account?

Answers

Answer: $33.89

Step-by-step explanation:

$59.87 - $25.98 = $33.89

Answer:

33.89

Step-by-step explanat33.89ion:

$59.87-$25.98

A line passes through the point (8,-4) and has a slope of -3/4
Write an equation in slope intercept form for this line.

Answers

Answer: y=-3/4x+2

Step-by-step explanation:

y=mx+b

y=-3/4x+b

-4=-3/4(8) +b

-4=-6+b

b=2

y=-3/4x+b

y=-3/4x+2

A recipe for punch uses 2 cups of grape
juice and 3 cups of orange juice. How many
cups of orange juice are needed if 6 cups of
grape juice are used?

A 7 cups

B 9 cups

C 15 cups

D 30 cups

Answers

Answer:

B 9 cups

Step-by-step explanation:

Grape juice to orange juice ratio is 2:3, for every 2 cups of grape juice 3 cups of orange juice are used.

6/2=3

3 x 3 =9

for every 6 cups of grape juice, 9 cups of orange juice are used

Check for answer by seeing if the ratio matches up.

6:9 simplified is 2:3.

Answer is correct.

Answer: B


Explanation: we can set the formula to 2/3 then find what to multiply the 2 to get 6 which would be three then we multiply three with three and get nine have a nice day (:

HELP the bag of letter tiles include 15 vowels and 25 consonants. What is the probability of selecting two vowels one after another? NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

15 vowels plus 25 consonants is 40

so 15/40 then you take the one vowel out and there is 39 so then it is 14 over 39.

hi loves is this correct?

Solve for X.

X^2 - 2x + 1 = 0

X= 1?

Answers

Answer:

yes x=1

Step-by-step explanation:

x[tex]x^{2} -2x+1=0\\(x-1)^{2}=0 x-1=0 \\x=1[/tex]

A phone company has two long distance
calling plans. The first plan is $25 per month
for unlimited long distance calling. The second
plan is $10 per month plus $0.05 per minute
of long distance calling. After how many
minutes oflong distance calls will it be cheaper
for a customer to purchase the first plan?

Answers

It is cheaper for a customer to purchase the first plan if they make more than 300 minutes of long-distance calls. The answer is (C) 300.

Let's denote the number of minutes of long-distance calls as x. Then, the total cost of the second plan would be:

Cost of Plan 2 = $10 + $0.05x

The total cost of the first plan is always $25, regardless of the number of minutes of long-distance calls.

So we need to find the value of x at which the cost of Plan 2 exceeds the cost of Plan 1, i.e. when:

$10 + $0.05x = $25

Subtracting $10 from both sides, we get:

$0.05x = $15

Dividing both sides by $0.05, we get:

x = 300

So for values of x greater than 300, the cost of Plan 2 will exceed the cost of Plan 1.

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A clothing store buys jeans for $12 and marks them up 200% before selling them to customers. What is the selling price of the jeans? Group of answer choices

Answers

Answer:

The selling price  = $36

Step-by-step explanation:

The Buying price or Cost (C) = $12Markup = 200%

So

Percent Markup on Cost  (M) = 200% of 12

                                                = 200/100 × 12

                                                = 2 × 12

                                                = $24

Thus the selling price  =  Cost (C) + Markup (M)

                                      = $12 + $24

                                      = $36

Therefore, we conclude that:

The selling price  = $36

Let X denote the number of cousins of a randomly selected student. Explain the difference between StartSet Upper X equals 2 EndSet and Upper P (Upper X equals 2 ).
A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.
B. (X =4) is the frequency that a student has four cousins, P(X-4) is the relative frequency that a student has for cousins.
C. (X =4) is the probability of the event that the student has four cousins, P-4) is the event that the student has four cousins.
D. (X =4) is the relative frequency that a student has four cousins; P(X 4) is the frequency that a student has four cousins.

Answers

Answer:

A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.

Step-by-step explanation:

An event is an individual outcome or any number of outcomes of a random experiment or trial. An even that contains only one sample point is called a simple event. A compound event contains more than 1 sample point and is formed by the union of simple points.

An event A is said to occur only and if only the outcome of the experiment corresponds to some element of A.

In the given question the first symbolic representation gives an event and the second symbolic representation gives the probability.

The probability of X = 2 or 4 is given by P (X=2) or  P (X=4) symbollically.

So A is the best choice.

The relative frequency gives the probability  so choice B,C and D are wrong.

Can someone help me out?

Answers

Answer:

16

Step-by-step explanation:

please mark me brainliest and 5 star

Answer:

16

Step-by-step explanation:

You add all the sides together hope it helps pls mark brainliest

During a 7-year period, the amounts (in millions of dollars) spent each year on buying new vehicles N and used vehicles U by United States residents are modeled by the equations

N=−0.028t3+0.06t2+0.1t+17
U=−0.38t2+1.5t+42

where t=1 represents the first year in the 7-year period.

a. Write a polynomial that represents the total amount spent each year on buying new and used vehicles in the 7-year period.

b. How much is spent on buying new and used vehicles in the fifth year?

$ ???

Answers

Using addition of polynomials, it is found that:

a) The total amount is: T(t) = -0.028t³ - 0.32t² + 1.6t + 59.

b) $55.5 million was spent on buying new and used vehicles in the fifth year.

How do we add polynomials?

To add polynomials, we have to combine the like terms, that is, the terms that have t elevated to the same power.

For this problem, the functions are given as follows:

N(t) = -0.028t³ + 0.06t² + 0.1t + 17.U(t) = -0.38t² + 1.5t + 42.

Hence the total amount is:

T(t) = N(t) + U(t)

T(t) = -0.028t³ + 0.06t² + 0.1t + 17 - 0.38t² + 1.5t + 42.

T(t) = -0.028t³ + (0.06 - 0.38)t² + (0.1 + 1.5)t + 17 + 42.

T(t) = -0.028t³ - 0.32t² + 1.6t + 59.

For the 5th year, the amount is given by:

T(5) = -0.028(5)³ - 0.32(5)² + 1.6(5) + 59 = 55.5.

$55.5 million was spent on buying new and used vehicles in the fifth year.

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Use the figure and follow the directions below.

Answers

f is the vertex of 1
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