properties of exponential functions​

Answer:

45/58 it is already in simplest form

Step-by-step explanation:

Answer:

1 17/40

Step-by-step explanation:

[tex]\frac{5}{8} + \frac{4}{5} \\[/tex]

Find the common denominator, which is 40

so then 5/8 = 25/40 and 4/5 = 32/40

[tex]\frac{25}{40} + \frac{32}{40} = \frac{57}{40} = 1 \frac{17}{40}[/tex]

Answer:

24

Step-by-step explanation:

To find f(#) or g(#), plug the number into each x of the equation.

f(x) = -x + 5

f(2) = -(2) + 5

Simplify the parentheses by multiplying.

f(2) = -2 + 5

Add.

f(2) = 3

g(x) = 3x + 2

g(2) = 3(2) + 2

Simplify the parentheses by multiplying.

g(2) = 6 + 2

Add.

g(2) = 8

Now they are asking you to multiply

f(2) • g(2)

3 • 8

= 24

Hope this helps!

Answer:

70 dollars

Step-by-step explanation: -

Answer:   1 - 1/

             0

so 0

hope it helps

Answer:

X = 4

y = 15

Step-by-step explanation:

I hope that is useful for you :)

Answer:

180 degrees

Step-by-step explanation:

FH is half the circle, so it has to be 180 degrees.

I think all that other stuff is to confuse you or use it for a different problem.

x = 6

Explanation:

use the pythagorean theorem which is a^2 + b^2 = c^2. 8 goes in either the a or b position and 10 is the longest side so it will go in the c position.

Answer:

2nd picture is right......

Answer:

the second one

Step-by-step explanation:

it is a reflection of the triangle on the left

Answer: they are corresponding

Step-by-step explanation:

this means they are basically in the same spot and they are congruent

Answer:

BAD=100° (given)

ADC=105° (180-75)

DCB=50° (vertical angles)

CBA=105° (same as ADC)

Answer:

79 problems each week

Step-by-step explanation:

To find this answer, just divide the total number of math problems (1,422) by how many weeks Gabe had to do them (18). This will give you a final answer of 79 problems per week. My work is below!

1,422 / 18 = 79 problems per week

Answer:

79

Step-by-step explanation:

Divide the problems out between 18 weeks.

1422÷18=79

Answer:

not equivalent.

Step-by-step explanation:

Sorry, I'm going to need a more accurate question. How many kids are there in total?

Answer:

3

Step-by-step explanation:

Answer:

A) P(X ≥ 3 ) = 0.7648

B) P(X ≥ 6) = 0.7515

C) P(X < 5) = 0.0949

D) P(X < 6) = 0.00031113

Yes. This is likely to happen if the true value of p is 0.65

E) P(X ≥ 17) = 0.012118

No. This is unlikely to happen if the true value of p is 0.65

Step-by-step explanation:

Solving this question means we have to deal with binomial probability distribution which follows a formula;

P(X = x) = C(n, x) * p^(x) * (1 - p)^(n - x)

We are given p = 65% = 0.65

A) probability of getting At least 3 out of the 5 business days, we have;

P(X ≥ 3 ) = P(X = 3) + P(X = 4) + P(X = 5)

And n = 5

Thus;

P(X = 3) = C(5, 3) × 0.65³ × (1 - 0.65)^(5 - 3)

P(X = 3) = 0.3364

P(X = 4) = C(5, 4) × 0.65⁴ × (1 - 0.65)^(5 - 4)

P(X = 4) = 0.3124

P(X = 5) = C(5, 5) × 0.65^(5) × (1 - 0.65)^(5 - 5)

P(X = 5) = 0.116

Thus;

P(X ≥ 3 ) = 0.3364 + 0.3124 + 0.116

P(X ≥ 3 ) = 0.7648

B) Probability of getting at least 6 out of the 10 business days.

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator, we have;

P(X = 6) = 0.2377

P(X = 7) = 0.2522

P(X = 8) = 0.1757

P(X = 9) = 0.0725

P(X = 10) = 0.0134

P(X ≥ 6) = 0.2377 + 0.2522 + 0.1757 + 0.0725 + 0.0134

P(X ≥ 6) = 0.7515

C) probability of getting fewer than 5 out of the 10 business days.

P(X < 5) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 4) = 0.0689

P(X = 3) = 0.0212

P(X = 2) = 0.0043

P(X = 1) = 0.0005

P(X < 5) = 0.0689 + 0.0212 + 0.0043 + 0.0005

P(X < 5) = 0.0949

D)probability of getting fewer than 6 out of the next 20 business days;

P(X < 6) = P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 5) = 0.000261

P(X = 4) = 0.000044

P(X = 3) = 0.0000056

P(X = 2) = 0.0000005

P(X = 1) = 0.00000003

P(X < 6) = 0.000261 + 0.000044 + 0.0000056 + 0.0000005 + 0.00000003

P(X < 6) = 0.00031113

Yes, in this scenario, It is likely to happen and I would think p is less than 0.65 because probability is less than 1 out of 1000.

E) probability of getting more than 17 out of the next 20 business days.

P(X ≥ 17) = P(X = 18) + P(X = 19) + P(X = 20)

From online binomial calculator, we have;

P(X = 18) = 0.0099846

P(X = 19) = 0.00195187

P(X = 20) = 0.00018125

P(X ≥ 17) = 0.0099846 + 0.00195187 + 0.00018125

P(X ≥ 17) = 0.012118

Probability is around 12 in 100 and not up to 50%. Thus, This is unlikely to happen if the true value of p is 0.65

Answer:

the answer is 38 cm

Step-by-step explanation:

10+6+(6x3)+4=38 the 2 missing numbers are 2cm and 3cm

Answer:

The answer is 210

Step-by-step explanation:

So arc HL is equal to  180 because angle G is equal to 180

Arc KL is equal to 30

30+180=210

so 210 is your answer

Answer:

625•5x

jajssjskdnkwwnso

Answer:

3cm + 3cm+ 14/3cm + 14/3cm = base

Step-by-step explanation:

^^

Good luck!

5/8 of the total has been sold, so we just do 64*5/8=40 houses that had been sold this year. Hope this helped!

Answer:

y=x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-2)/(-2-1)

m=-3/-3

m=1

y-y1=m(x-x1)

y-2=1(x-1)

y-2=x-1

y=x-1+2

y=x+1

Answer:

20

Step-by-step explanation:

You have to fill in 6 slots _ _ _ _ _ _.

Since first digit must be 4, there is only 1 way to fill in the 1st slot.

with the 5 slots, we fill in the 6s first, 3 of them.

So we have 5 options and 3 items to fill, (5 choose 3).

Then 2 ways to fill 1 and 1 way to fill 5. (It doesn't matter if you pick 5 or 1 first).

So it becomes (5C3) * (2C1) *(1C1)

= 1 * 5!/(3!)(5-3)! * (2) * 1

= 20

Answer:

30

Step-by-step explanation:

it counting by 2s but backwards

Answer:

20

Step-by-step explanation:

subtract by 2

jajakkalalallalalslsl [ignore this]

Answer:

x=3

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

Answer:

145° I think

Step-by-step explanation:

the number sequence

Answer:

its cap

Step-by-step explanation:

Answer:

66in²

Step-by-step explanation:

If we assume the rectangle is made out of two identical trapezoids, as the question suggests, well then we know that the length of the triangle is equal to the sum of the length of the top and the bottom of the trapezoid:

Length(rectangle)=3+8=11

Width(rectangle)=6

Area(Rectangle)=length*width=11*6=66in²

Answer:

divide 175 by 6 then write a = 29.1666666

Answer:

a  = 175/6     (fraction form)

Step-by-step explanation:

6a=175

Divide 175 by 6

[tex]a=\frac{175}{6}[/tex]                    fraction form

[tex]a=29\frac{1}{6}[/tex]                   Mixed number form

a=29.166666         Decimal form