A squirrel has a 75% chance of finding food when it is sunny, but only a 25% chance of finding food when it is raining. Suppose there is a 50% chance of rain. What is the probability that a squirrel will find food?

Answers

Answer 1

Answer:

The probability is 0.5

Step-by-step explanation:

If there is a 50% chance of rain, then there is also a 50% chance of not rain.

Now let's write all the probabilities:

(just take the percentage and divide it by 100%)

Probability of rain: p = (50%/100%) =  0.5

probabiity for the squirrel to find food when it rains: q = (25%/100%) = 0.25

Then the joint probability, this is, the probability that rains and that the squirrel finds food, is equal to the product of these two probabilities, this is:

P1 = 0.5*0.25 = 0.125

And we also have the case where there is no rain.

Probability that does not rain: p' = (50%/100%) = 0.5

Probability that the squirrel finds food if doesn't rain: q = (75%/100%) = 0.75

The joint probability is:

P2 = 0.5*0.75 = 0.375

The total probability that the squirrel will find food is equal to the sum of the probabilities of the squirrel finding food if there is rain, and the probability of the squirrel finding food if there isn't rain, so the total probability is:

P = P1 + P2 = 0.125 + 0.375 = 0.5


Related Questions

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 145 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse? *

Answers

Answer:

1657.14 ft

Step-by-step explanation:

Tan = opposite / adjacent

tan 5 = 145 / adjacent

0.0875 =  145 / adjacent

adjacent = 145 / 0.0875

= 1657.14 ft

Test 645 for divisibility by 2, 3, 5, 9, and 10.

Answers

Answer:To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.

To start divide it by each of them:

59859/2=29929.5

59859/3= 19953

59859/5= 11971.8

59859/9= 6651

59859/10= 5985.9

Now look at which of the choices are whole numbers

3 and 9 are the only non decimal numbers, therefore, C would be your answer.

Step-by-step explanation:





Help





Will give





Brainlist



Answer

Answers

Answer:

the answer for this one is 39.2f. me being a Canadian and knowing that 0c is 32 Celsius it had to be larger and putting 4 Celsius thru a converter gives you 39.2

Step-by-step explanation:

BASE
-10
109
Which expression is equivalent to X X
-(
WN
?
No
O
WIN

Answers

Answer:

[tex]\displaystyle x^{\frac{2}{3}}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Exponential Rule [Multiplying]:                                                                        [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Powering]:                                                                           [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}[/tex]

Step 2: Simplify

Exponential Rule [Multiplying]:                                                                        [tex]\displaystyle (x^{\frac{4}{3} + \frac{2}{3}})^{\frac{1}{3}}[/tex][Exponents] Add:                                                                                              [tex]\displaystyle (x^{2})^{\frac{1}{3}}[/tex]Exponential Rule [Powering]:                                                                           [tex]\displaystyle x^{2 \cdot \frac{1}{3}}[/tex][Exponents] Multiply:                                                                                         [tex]\displaystyle x^{\frac{2}{3}}[/tex]

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2

Answers

Answer:

y = 8(2) = 16

Step-by-step explanation:

"If y varies directly as x," then y = kx, where k is the constant of proportionality.

Here, when x = 6, y = 48.  This data lets us calculate k:

48 = k*6, or k = 8.

Then the pertinent equation is  y = 8x.

If x = 2, y = 8(2) = 16

you how many miles are there in 86.88 km 1.6 km equals to 1 miles or conversion ​

Answers

86.88 kilometers is 53.98 miles

Which of the following is a foci of x^2/16-y^2/4=1

Answers

Answer:

x(8;2)

Step-by-step explanation:

i think that  

After a 20% discount the phone cost is $70.40. What was the original price?

Answers

Answer:

$84.48

Step-by-step explanation:

Multiply the price before discount by 1.2 (100% + 20%) to get 70.40 x 1.2 = 80.48; $80.48

Hope this helps!

:)

Which of the following is an equation of the line that passes through the point (1, 1) and has a slope of 2?

Answers

Answer:

You didn't provide " the following" from which to choose.

Here are two solutions

y = 2x - 1

y - 1 = 2(x - 1)

. If XZ = 7x + 1 and PZ = 4x − 1, what is XP? 11
12 19 22

Answers

Answer:

XP = 11

Step-by-step explanation:

Given that XZ = 7x + 1 and PZ = 4x − 1

From the diagram, XZ = 2PZ

7x + 1 = 2(4x-1)

7x+1 = 8x - 2

7x - 8x = -2 -1

-x = -3

x = 3

Since XP = PZ

XP = 4x - 1

XP = 4(3) - 1

XP = 12-1

XP = 11

please help me guys I am in trouble​

Answers

Answer:

16π

Step-by-step explanation:

The circle touches the X-axis and center at (3,4), the coordinate is representing as (x, y), so the radio will be r = y (circle touches the X-axis), and the formula of circle area is π * r^2, so:

π * 4^2 is equal to 16π

The product of (3+2i) and a complex number is (17+7i)

The complex number is______

Answers

Answer:

The complex number is;

37 + 55i

Step-by-step explanation:

Here, we want to find the product of the two

We proceed as follows;

(3 + 2i)(17+ 7i)

= 3(17 + 7i) + 2i(17 + 7i)

= 51 + 21i + 34i + 14(i)^2

Recall; i = √(-1)

Thus, we have it that;

51 + 55i -14

= 51-14 + 55i

= 37 + 55i

a)Convert 7.5 cm into m b) convert 2 m into mm c) Convert 5 m into cm d) convert mg into 9 e)Convert 1.5 mg into kg f)convert 1 day into sec g)Convert 5 hour into sec​

Answers

Answer:

0.075 metre

2000 mm

500 cm

0.001 gram

1.5 × 10-6 kilogram

86400 second

18000 second

Step-by-step explanation:

hope it helps

Answer:

a) 0.075 m

b) 2000 mm

c) 500 cm

d) ?

e) 0.0015 kg

f) 86400 seconds

g) 18000 seconds

Classify the triangle by its angle and sides

Answers

Answer:

Right Triangle

Step-by-step explanation:

It has a 90 degree angle

Identity the range of the function shown in the graph.

Answers

Answer:

C) Y > 0

hope it helps uh

mark me as brainliest

Answer:

B

Step-by-step explanation:

The range is the values of y covered by the graph

The values of y go from 0 to 8 , then

range is 0 ≤ y ≤ 8

Which value of a would make the following expression completely factored?

x²-a

A.12
B.36
C.49
D.81

Answers

Answer:

The answer is 12.               

12 is not a perfect square like the others.      

UNA POBLACION DE CIERTA CIUDAD EN EL AÑO 2000 ERA DE 250,000 HABITANTES CON UNA TASA DE CRECIMIENTO RELATIVO DEL 2% , DETERMINA LA POBLACION QUE SE ESPERABA PARA EL 2012

Answers

Answer:

La población que se espera para el 2012, es 317,060

Step-by-step explanation:

Si la población tiene un crecimiento relativo del 2%, entonces cada año, la población es un 2% más grande que el año anterior.

Definamos P(t) = población después de t años

Entonces, si al año t = 0 (que corresponde con el año 2000) la población es A

P(0) = A

Un año después, en t = 1, la población incrementa en un 2%

P(1) = A + (2%/100%)*A = A + (0.02)*A = A*(1.02)

Otro año después, en t = 2, la población incrementa un 2% de vuelta.

P(2) = A*(1.02) + (2%/100%)*A(1.02) = A*(1.02) + 0.02*A*(1.02)

      = A*(1.02)*(1.02) = A*(1.02)^2

Ya podemos notar un patrón, la población en el año t va a ser:

P(t) = A*(1.02)^t

Sabemos que en t = 0 (el año 2000) la población es 250,000

Entonces A = 250,000

P(t) = 250,000*(1.02)^t

Ahora queremos calcular la población en el año 2012

entonces si t = 0 es el 2000

2012 esta representado con t = 12

Reemplazando eso en la ecuación, obtenemos:

P(12) = 250,000*(1.02)^12 = 317,060.4

Como esto es una población tenemos que redondearlo al próximo número entero, como el primer digito después del punto es 4, redondeamos para abajo.

Entonces la población que se espera para el 2012 es: 317,060

!!!10 POINTS I KNOW IT IS NOT ENOUGH BUT PLEASE ANSWER!


AND IF YOU CAN SHOW AT LEAST A LITTLE WORK THAT WOULD BE GREAT I NEED TO SHOW WORK!!!

Answers

Answer:

B) 376 units squared

Step-by-step explanation:

Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)

Btw saw your other one got deleted •_• *sigh*

write one eighth as a decimal

Answers

Answer:

0.125

Step-by-step explanation

one eighth = 1/8

Divide the numerator by denominator and the answer is 0.125

The answer is .125
It is half of .25 which is 1/4

Find the surface area of each cube
26. A cube with each side length of 5.6 inches

Answers

26.) 188.16 square inches
Explanation:
Formula for surface area of cube:
6a^2
Where a represents the side length

Use the formula with the given dimension:
6 • 5.6^2 = 188.16

FINAL ANSWER: 188.16 square inches

27.) 384 square meters
Use the formula for surface area of cube:
6a^2
Where a represents the side length

Use the formula with the given dimension:
6 • 8^2 = 384

FINAL ANSWER: 384 square meters

Pls com.ment if my answers are right!
If they were, brainliest please!
Have a nice day ;) -SpaceMarsh :Dd



solve for x: 11x+6=6x+11​

Answers

[tex]\longrightarrow{\green{ x\:=\:1}}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex]11x + 6 = 6x + 11[/tex]

➼[tex] \: 11x - 6x = 11 - 6[/tex]

➼[tex] \: 5x = 5[/tex]

➼[tex] \: x = \frac{5}{5} [/tex]

➼[tex] \: x = 1[/tex]

Therefore, the value of [tex]x[/tex] is 1.

[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]

[tex]11 \times 1 + 6 = 6 \times 1 + 11[/tex]

➼ [tex] \: 11 + 6 = 6 + 11[/tex]

➼[tex] \: 17 = 17[/tex]

➼ L. H. S. = R. H. S

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Point O is the center of the circle.

Circle O is shown. Tangents D C and B C intersect at point C outside of the circle. Lines are drawn from points D and point B to center point O to form a quadrilateral. A line is drawn from point C to point A on the opposite side of the circle. The length of O D is 6, and the length of B C is 8. Angles D and B are right angles.

What is the perimeter of quadrilateral DOBC?

14 units
16 units
22 units
28 units

Answers

Answer:

28

Step-by-step explanation:

Answer:

its 25 yall !

Step-by-step explanation:

factor x^2+64
and
factor 16x^2+49

Answers

Answer:

Step-by-step explanation:

x^2+64=(x+8i)(x-8i)

16x^2+49=(4x+7i)(4x-7i)

can anyone tell me the solution?

Answers

Answer:

[tex]x=\frac{-12}{5} y+\frac{79}{5}[/tex]

Step-by-step explanation:

[tex]5(y-4)-3(y-2)+5(x-3)=10[/tex]

Add -12y to both sides:

[tex]5x+12y-69-12y=10-12y[/tex]

[tex]5x-69=-12y+10[/tex]

Add 69 to both sides:

[tex]5x-69+69=-12y+10+69[/tex]

[tex]5x=-12y+79[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5} =\frac{-12+79}{5}[/tex]

[tex]x=\frac{-12}{5} y + \frac{79}{5}[/tex]

What is the first step in solving for w in the equation 3W + 5 = 14?

Answers

subtract 5 from both sides so that you can can 3W by itself and then you divide both sides by 3W and you should get w=3

HELP ME PLEASE WILL GIVE BRAINLIEST JUST HURRY GOT UNTIL TMRW AND ITS LATE LOL
Okay
Lia and Sergio are both saving to buy a
kayak that costs $800. The table shows
Lia'ssavings perweek. Sergio saves
$24 per week. Who will be able to buy
thekayak first? How long willit take?

Answers

Sergio will buy first! He is earning more than Lia per week, and it would take him about 34 weeks and he’d haves little money left over by that time :)

Answer:

Sergio will buy first

It will take 34 weeks for Sergio

and 45 weeks for Lia

Step-by-step explanation:

Given Info: Per week Sergio Saves $24

How:

divide $72 by 4 weeks to find how much Lia is earning per 1 week.

72/4= 18

So Lia is saving 18$ per week while Sergio saves $24 per week

24>18

Sergio will save more per week so he will get it first.

It will take 34 weeks for Sergio

and 45 weeks for Lia

HELPPPPP AGAIN please

Answers

Answer:

x ≈ 13.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan34° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )

20 × tan34° = x , then

x ≈ 13.5 ( to the nearest tenth )

need help! question on picture.

Answers

Answer:

its Positive or absolute ....

a) Model this situation with a linear system:
To rent a car, a person is charged a daily rate and a fee for each kilometre driven. When Chena
rented a car for 6 days and drove 320 km, the charge was $286.00. When she rented the same car
for 10 days and drove 900 km, the charge was $605.00.
b) Determine the daily rate and the fee for each kilometre driven.

Answers

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Please help out with this question!

Answers

Answer:

[tex]1. \: \: a = 4[/tex]

[tex]2. \: \: y = 16[/tex]

Step-by-step explanation:

[tex]1. \: \: a + 5 = 9[/tex]

[tex]a = 9 - 5[/tex]

[tex]a = 4[/tex]

[tex]2. \: \: y−4=12[/tex]

[tex]y=12+4[/tex]

[tex]y = 16[/tex]

Hope it is helpful....
Number one is a=4
step by step explanation:
Inverse operation of addition is subtraction.

a+5=9
-5 -5
a= 4
First thing you want to do is isolate “a”so you have to subtract 5 from both sides of the equation so you can be left with x alone. That will give you a=4

Number 2: is y=16

y - 4 =12
+ 4 +4
y= 16

In this equation the inverse operation of subtraction is addition. So instead of subtracting 4 by both sides of the equation like we did in number one… you will add 4 to both sides of the equation to cancel out the 4 and have “y” by it self.
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