In an experiment, the probability that event A occurs is 5/8 , the probability that event B occurs is 2/9 , and the probability that events A and B both occur is 1/5 . What is the probability that A occurs given that B occurs?

Answer:

6

Step-by-step explanation:

Answer:

11.75

Step-by-step explanation:

the angles of a triangle should add to 180

5x + 3x - 4 +90 = 180

now solve for x

8x = 94

94/8 = 11.75

Answer:

7

Step-by-step explanation:

n - 7

Let n = 14

14-7

7

Answer:

7

Step-by-step explanation:

n-7     n=14

14-7 (substitution)

7

Answer:

4.41

Step-by-step explanation:

We can use trig to solve for the missing side (specifically cosine).  cos(x)=adjacent side/hypotenuse.  We have the x value (which is the angle shown) which is 25.  We have the adjacent side of that angle which is 4.  We are solving for the hypotenuse (lets call that h).  When we plug in values into the equation cos(x)=adjacent/hypotenuse, we get cos(25)=4/h.  cos 25=0.9063.  So 0.9063=4/h.  Multiply both sides by h and we get 0.9063h=4.  Now divide 0.9063 on both sides to isolate h and we get 4.4135... but since you want hundredths, its 4.41

Answer:

Step-by-step explanation:

24 is a composite number.

Prime factorization: 24 = 2 x 2 x 2 x 3, which can be written 24 = 2³ x 3

The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 24 has exactly 8 factors.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factor pairs: 24 = 1 x 24, 2 x 12, 3 x 8, or 4 x 6

Answer:

m = -5

Step-by-step explanation:

Step  1  :

Pulling out like terms/ factors

Add  5  to both sides of the equation :  

                     -m = 5

Multiply both sides of the equation by (-1) :  m = -5

Hope this helps.

Answer:

The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error E as such

[tex]E = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

[tex]\sigma = 8, n = 110[/tex]. So

[tex]E = 1.96\frac{8}{\sqrt{110}} = 1.495[/tex]

The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.

Answer:

this explanation is false

Answer:

complementary angles

Step-by-step explanation:

The sum of the angles is 67+23 = 90

When angles sum together to 90, the are called complementary

Answer:

Option A

Step-by-step explanation:

The measures of the two angles have a sum of 90°.

[tex]67+23=90[/tex]

Therefore, they are complementary angles, since complementary angles have a total measure of 90°.

Option A is the best answer.

Brainilest Appreciated.

Answer: 25%

Step-by-step explanation:

You have a 1/2 chance of landing a heads or tails both times. So, you multiply 1/2 *1/2 = 1/4. 1/4 = 0.25 = 25%.

Answer:

(7²+(1-5))×3=

Step-by-step explanation:

Let's try this

(7²+(1-5))×3=

(49-4)×3=

45×3=

135

(Worked first try :o!)

Answer:

33 and 22

Step-by-step explanation:

total ratio is 5

55÷5 =11 ( ratio 1)

ratio 3 : 11x3 = 33

ratio 2 : 11x2 = 22

hope this helps

Answer:

B. 12 + 2pi cm

Step-by-step explanation:

The shaded region is made up of 3 square sides and one half circle. The three square sides are each 4, which means that those altogether equal 12.

The circle's circumference can be found by using the equation c = (d)pi

The diameter is 4, so the whole circumference is 4pi. However, you only need half of a circle, which is represented by 2pi.

Add them all together, and you get 12 + 2pi cm.

Answer: i think B

Step-by-step explanation:

Answer:

2.2

Step-by-step explanation:

4% of 54.99 = 0.04*54.99

Answer: $2,466.45

Step-by-step explanation:

Hi, to answer this question we have to apply the compounded interest formula:

A = P (1 + r/n) nt

Where:  

A = Future value of investment (principal + interest)  

P = Principal Amount  

r =  Nominal Interest Rate (decimal form, 3.5/100= 0.035)

n=   number of compounding periods in each year (365)

Replacing with the values given

3,500= P (1+ 0.035/365)^365(10)

Solving for P

3,500= P (1.00009589)^3650

3,500/  (1.00009589)^3650 =P

P = $2,466.45

Answer:

253 degree is the answer

Answer:

The correct answer is: B. The initial values of the two functions are different, and the rates of change of the two functions are the same

Step-by-step explanation: Trust me

Answer: : B. The initial values of the two functions are different, and the rates of change of the two functions are the same

Step-by-step explanation: on edgenuidy

Answer:

1.625 kilograms

Step-by-step explanation:

Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is

→ 6.5 x 3/4 = 4.875 kilograms

Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples

→ 6.5 - 4.875 = 1.625 kilograms

Answer:

1.625 kg

Step-by-step explanation:

Total weight sold by the farmer =6.5 kilograms

If 3/4 of the weight is pears:

Weight proportion of apple[tex]=1-\frac{3}{4}= \frac{1}{4}[/tex]

Therefore:

Weight of Apples sold at the market [tex]= \frac{1}{4} X 6.5 kg\\[/tex]

=1.625 kg

The farmer sold 1.625 kilograms of apple.

Answer:

height of the cone = 8 ft

Step-by-step explanation:

A cone has a volume of 96π ft³. The radius of the cone is 6 ft. The height of the cone can be computed below .

The volume of a cone can be represented as follows

volume of a cone = 1/3πr²h

where

r = radius

h = height

volume of a cone = 1/3πr²h

volume = 96π ft³

r = 6 ft

h = ?

96π = 1/3 × π × 6² × h

96π = 1/3 × π × 36 × h

96π = 12πh

divide both sides by 12π

h = 96π/12π

h = 8 ft

height of the cone = 8 ft

Answer:

Option B.

Step-by-step explanation:

The given equation of trend line is

[tex]y=\dfrac{4}{5}x[/tex]

where, x is time in minutes and y is amount of water in gallons.

It is given that the rate (gallons per minute) continues approximately.

We need to find the amount of water flow from the hose in 45 minutes.

Substitute x=45 in the given equation.

[tex]y=\dfrac{4}{5}(45)[/tex]

[tex]y=4\times 9[/tex]

[tex]y=36[/tex]

It means 36 gallons of water from hose in 45 minutes.

Therefore, the correct option is B.

Answer:

q < 3

Step-by-step explanation:

2(q–8)<–10

Divide each side by 2

2/2(q–8)<–10/2

q-8 < - 5

Add 8 to each side

q-8+8 < - 5+8

q < 3

Answer:

[tex] = q < 3[/tex]

Step-by-step explanation:

[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 +1 6 \\ 2q < 6\\ \frac{2q}{2} < \frac{6}{2} \\ = q < 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

24 1/2

Step-by-step explanation:

First multiply 7/2 by 5.

7/2 x 5 = 35/2

Then, multiply 35/2 by 7/5.

35/2 x 7/5 = 245/10

Simplify 245/10.

245/10 = 49/2

Convert to mixed fraction.

49/2 = 24 1/2

Therefore, the simplest form of 7/2 x 5 x 7/5 is 24 and 1/2.

Answer:

[tex]24.5[/tex]

hope this helps

brainliest appreciated

good luck!! have a nice day!

Answer:

32, 40, 48, 56

Step-by-step explanation:

[tex]a_n= 8(n+3)...(given) \\\\ a_1= 8(1+3) = 8 \times 4 = 32 \\ \\ \: a_2= 8(2+3) = 8 \times 5 = 40 \\ \\ a_3= 8(3+3) = 8 \times 6 = 48 \\ \\ a_4= 8(4+3) = 8 \times 7 = 56 \\ [/tex]

Answer:

A

Step-by-step explanation:

Answer:

[tex]-3x^2+29x-150+\frac{946x^2-341x-756}{x^3+6x^2-3x-5}[/tex]

Step-by-step explanation:

See attachment.

So the right answer is 2.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

165m

Question:

Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish, and Wiktor was 35 m. When Olga finished the race, Wiktor had 22 m to the finish. At what distance was the race held?

Explanation:

Let distance be x meters

Fist statement:

Artur distance = x

Olga =x-15

Wiktor = x-35

Since they are going at constant speed, time is constant for all 3.

Their speed = distance/time

x/t, (x-15)/t, (x-35)/t respectively

Second statement:

Olga distance = x

Wiktor distance = x-22

Their Time is constant:

If it takes (x-15) in t secs,

for x meters will take = xt/(x-15)

Olga and wiktor respectively: xt/(x-15), xt/(x-15) respectively

Their speed:

Speed = distance/time

Olga = (x-15)/t,

Wiktor = (x-22)(x-15)/(xt)

Since speed is constant

Speed for Wiktor in both cases:

(x-35)/t =(x-22)(x-15)/(xt)

x(x-35) =(x-22)(x-15)

x² -35x = x² - 15x -22x +330

-35x = -37x +330

2x = 330

x = 165m

Race held at 165m distance.

Answer:

Javier's parents set aside $1500 when he was born

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question, we have that:

[tex]E = 1012.50, t = 15, I = 0.045[/tex]

We have to find P. So

[tex]E = P*I*t[/tex]

[tex]1012.50 = P*15*0.045[/tex]

[tex]P = \frac{1012.50}{15*0.045}[/tex]

[tex]P = 1500[/tex]

Javier's parents set aside $1500 when he was born

Answer:

B) 4.09

Step-by-step explanation:

C= 2πr

Answer:

$2500 is the total cost.

Step-by-step explanation:

Area of rhombus = 40(25)/2=1000/2=500

500*5=2500

Therefore, $2500 is the total cost.

I hope this helped and have a good rest of your day!