Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class. A 5-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, total. The second column is labeled Spanish with entries 107, 56, 89, 252. The third column is labeled French with entries 122, 68, 82, 272. The fourth column is labeled German with entries 6, 14, 8, 28. The fifth column is labeled Total with entries 235, 138, 179, 552. Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A). A and B are independent events because P(A∣B) = P(B). A and B are not independent events because P(A∣B) ≠ P(A). A and B are not independent events because P(A∣B) ≠ P(B).

Answer:

using divisional law of indices logab-logan=log(b/n)therefore logbM-logbN=logb(M/N)

Answer:

We should attempt synthetic division to find when

x

3

−

k

x

2

+

2

k

x

−

15

x

−

3

has a remainder of

0

, which would signify that it is a factor of the polynomial.

The synthetic substitution would be set up as:

3

−

∣

∣

∣

1

−

k

2

k

−

15

−−−

−−−

−−−

−−−

−−−

|

0

Treating the synthetic division like any other synthetic division problem, we see that

3

−

∣

∣

∣

1

−

k

2

k

−

15

−−−

−−−

3

−−−−−−−−

−

3

k

+

9

−−−−−−−−

−

3

k

+

27

−−−−−−−−−

1

−

k

+

3

−

k

+

9

|

0

If the remainder equals

0

, then we know that

−

3

k

+

27

+

(

−

15

)

=

0

Solve this to see that

k

=

4

.

Thus,

(

x

−

3

)

is a factor of

x

3

−

4

x

2

+

8

x

−

15

.

Answer:

B

Step-by-step explanation:

Angle ADG, angle BEH and angle CFI, all have two curves in their angles. Same number of curves are used to represent that their measure are equal.

So, m angle CFI = m angle ADG

So, m angle CFI = m angle ADG=> m angle CFI = 92°

Answer:

a) True

b) True

C) false

Step-by-step explanation:

just a guess..... Merry Christmas

Answer:

Both take time together = 36 / 5 hours = 7.2 hours

Step-by-step explanation:

Given:

Briana take time = 12 hour

Henry take time = 18 hour

Find:

Both take time together

Computation:

Briana 1 hour work = 1/12

Henry 1 hour work = 1/18

Both take time together = 1/[1/12+1/18]

Both take time together = 1/[5/36]

Both take time together = 36 / 5 hours = 7.2 hours

Answer:

It is C. May

Step-by-step explanation:

Hope this helped have an amazing day!

In the month of may the rabbit population is smallest, option C is correct.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A bar graph is the representation of numerical data by rectangles of equal width and varying height.

In the given chart the red bars shows the population of rabbits

the blue bar shows the population of the fox

From the given graph we have to find the month where the rabbit population is smallest.

The red bar is smaller in the month of may which represents that the population is small.

Hence, in the month of may the rabbit population is smallest.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Answer:

$6414

Step-by-step explanation:

Step one

given

Principal=$2,000

rate= 6%= 0.06

Time= 20 years

Required

The final amount

Step two:

The compound interest formula is

A= P(1+r)^t

substituting we have

[tex]A=2000(1+0.06)^2^0\\\\ A= 2000(1.06)^2^0\\\\ A=2000*3.207\\\\A=6414[/tex]

The amount given to the college is $6414

Answer:

It was ready at 2:30 pm :)

Answer: y=-32

Step-by-step explanation:

1. Simplify:

-6y-90=-3y+6

2. Add like terms:

-96=3y

=> y=-32

Have a nice day! :)

Answer:

1 hour and 15 minuets

Step-by-step explanation:

5 hours and he was hedging for 25% of that time.

25%=.25

5(0.25)

1.25

A quarter of an hour is 15 minutes.

So the final answer would be 1 hour and 15 minuets.

Answer:

C. Kinetic energy.

Step-by-step explanation:

Kinetic energy is the energy an object has due to it's motion, since the motion of the object increased, it gained kinetic energy.

Answer:

Kinetic energy!

Step-by-step explanation:

Answer:

$586.04 is your answer

Answer:

79 feet

Step-by-step explanation:

The perimeter is all the sides added together.

15+22+10+18+14 =

79 feet

please give thanks :)

if answer is incorrect, your question is not clear enough. this is the best answer I can provide.

Step-by-step explanation:

check the answer it is as same

Answer:

80

Step-by-step explanation:

Answer:

3.0

Step-by-step explanation:

5.8-2.6=3.2 simplified 3.0

Answer:

[tex]\frac{35}{3}[/tex] or [tex]11 \frac{2}{3}[/tex]

Step-by-step explanation:

Just add them

Answer:

8+4t

Step-by-step explanation:

combine 3t and t then do 6t - 4t getting 8+4t

Answer:

It's 3 square units.

Count the "squares" and you get 3 and it's not real units so It's called "Square units".

:)

Answer:

no figures

Step-by-step explanation:

to work with and the answer is can't be determined

Answer:

P [ X > 23,22 ]  = 0,8798      or  P [ X > 23,22 ]  =  87,98 %

Step-by-step explanation:

P [ X > 23,22 ]  =  1  -  P [X ≤ 23,22 ]

P [X ≤ 23,22 ] =  ( X - μ₀ ) / σ /√n

P [X ≤ 23,22 ] = ( 23,22 - 36,25 )/ 6,50/√36

P [X ≤ 23,22 ] =  - 13,03 *6 / 6,50

P [X ≤ 23,22 ] = - 12,02        or       P [X ≤ 23,22 ] = 12,02 %

(note the - sign only mean that values on the left tail of the bell shape curve)

Then

P [ X > 23,22 ]  =  1  -  0,1202

P [ X > 23,22 ]  = 0,8798      or  P [ X > 23,22 ]  =  87,98 %

Answer:

600 pennies

Step-by-step explanation:

to start you need to understand that 1/2=5/10 so if we start with the bank 5/10 full and she adds 120 pennies that goes up 2/10. so that means 1/10 of the bank holds 60 pennies. so to find the answer you need to multiply the 60 pennies by 10, because 10*60 would be equal to the entire bank.

Answer:

1. no solution

2. one solution

3. infinitely many solutions

Step-by-step explanation:

1. 4= -3

false

2. -5=6c+7

2=6c

c=3

3. 5a+7=5a+7

true

Answer:

No solution

One solution

Infinite number of solutions

Step-by-step explanation:

Answer:

[tex]Probability = 0.0355[/tex]

Step-by-step explanation:

Given

Stot A:

[tex]Sales = 45\%[/tex]

Defective = 3%

Store B

[tex]Sales = 55\%[/tex]

Defective = 4%

Required

Determine the probability a product received is defective.

First, we calculate the probability that the defective product is from store A

[tex]Probability = P(Sales) * P(Defective)[/tex]

[tex]P_A = 45\% * 3\%[/tex]

Convert to decimals

[tex]P_A= 0.45 * 0.03[/tex]

[tex]P_A= 0.0135[/tex]  

Next, we calculate the probability that the defective product is from store B

[tex]P_B= 55\% * 4\%[/tex]

[tex]P_B= 0.55 * 0.04[/tex]

[tex]P_B= 0.022[/tex]

The product may come from either stores.

So, the probability of having a defective product is:

[tex]Probability = P_A + P_B[/tex]

[tex]Probability = 0.0135 + 0.022[/tex]

[tex]Probability = 0.0355[/tex]

Answer:

Probability of 0.0355

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

slope is always the coeffcient* the number beside the variable

Answer:

176.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Using the two pairs of (a, p) to determine the function:

The function would be:

Slope is:

p-intercept:

So the function is:

(a)

(b) Slope is negative, indicating the lower probability at greater age. P-intercept of 120.5 is of the non-real case as for zero age it gives more than 100% probability.

(c) The domain needs restriction in line with law, so minimum age and maximum to be determined in order not to have unrealistic outcome. It should be ok between 18 and 48.

(d) The values at given points:

Answer: 0.16666666666

Answer:

I also think b one is correct

Answer:

1. 8 x 8 ÷ 2

2. 64 ÷ 2 = 32

Step-by-step explanation:

(7+1) becomes 8 and 8 x 8 becomes 64

64 ÷ 2 = 32