What is x equal to in the following equation:

3^x=81
x=?

A. 2
B. 3
C. 4
D. 5

Answer:

it should be 152, can i please get brainliest

Step-by-step explanation:

Answer:

y=2x+8

Step-by-step explanation:

The slope intercept form is:

y=mx+b

with m and b already given, just plug in m and b and you will get your answer.

Answer:

D, 94

Step-by-step explanation:

Angles of a triangle add up to 180 degrees.  180 - 29 - 65 = 86 Angles 1 and 2 add up to 180 degrees.  86 = 2  180 - 86 = 94 94 = 1

Hope this helps! If it did, please mark it as brainliest! It would help me out a lot! :D

Answer:

a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Step-by-step explanation:

For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?

The foreclosure rate is 1.31% for the Washington, DC area, which means that [tex]p = 0.0131[/tex]

We wanto to find, with [tex]n = 100[/tex]:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675[/tex]

[tex]P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226[/tex]

0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?

Foreclosure rate of 0.87% for the nation, which means that [tex]p = 0.0087[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174[/tex]

[tex]P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837[/tex]

0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c. Comment on the above findings.

The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Answer:

3 x 5 = 15

Step-by-step explanation:

To explain this in short, John has 5 gallons of 3 colors, meaning that 3 x 5 = 15 would be the appropriate equation to finish this question. I hope this helps!

9514 1404 393

Answer:

  45°

Step-by-step explanation:

The base angles in any isosceles triangle are congruent.

  ? = 45°

__

The acute angles in any right triangle are complementary.

  ? = 90° -45° = 45°

__

However you decide to think about it, you get ? = 45°.

Answer:

x=121 degrees

Step-by-step explanation:

Sorry if my work is a bit messy. If you need me to rewrite it i can

Answer:

Part A)

784 feet in the air (after five seconds).

Part B)

After 12 seconds.

Step-by-step explanation:

The height h (in feet) of a rocket t seconds after being fired is modeled by the function:

[tex]h(t)=-16t^2+160t+384[/tex]

Part A)

We want to find the rocket's maximum height.

Since our function is a quadratic, the maximum height will occur at its vertex. The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}\, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -16, b = 160, and c = 384.

So, the vertex occurs at:

[tex]\displaystyle t=-\frac{160}{2(-16)}=\frac{160}{32}=5\text{ seconds}[/tex]

The maximum height is reached after five seconds.

Then the maximum height is:

[tex]h(t)_\text{max}=h(5)=-16(5)^2+160(5)+384=784\text{ feet}[/tex]

Part B)

When the rocket reaches the ground, its height h above the ground will be 0. Hence:

[tex]h(t)_\text{ground}=0=-16t^2+160t+384[/tex]

Solve for t. We can first divide both sides by -16:

[tex]t^2-10t-24=0[/tex]

Factor:

[tex](t-12)(t+2)=0[/tex]

Zero Product Property:

[tex]t-12=0\text{ or } t+2=0[/tex]

Solve for each case:

[tex]t=12\text{ or } t=-2[/tex]

Time cannot be negative. Hence, our only solution is:

[tex]t=12\text{ seconds}[/tex]

The rocket reaches the ground 12 seconds after it is fired.

Answer:

brainliest

Step-by-step explanation:

she needs altogether 2 2/4.

that is 2 wholes and 2/4 fraction.

if we consider using 1/4 cup, 1 whole is made of four quarter cups.

Therefore 2 wholes require eight quarter cups. then theres a remaining fraction of 2/4 which is equivalent to two quarter cups.

1/4 + 1/4 = 2/4. therefore altogether  8 + 2 = 10 of the 1/4 cups are required for the recipe.

10 of 1/4 cups are needed

Answer:

25

Step-by-step explanation:

c to d is 5 to 4

5x5=25

fffff

Answer:

25

Step-by-step explanation:

We need to divide 20 by 4 to see how much 1 equals in this problem.

20÷4=5

5 equals 1

Now we add 5 to 20 because the ratio is 5:4.

20+5=25

Our answer is 25.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

7a - 4a

a = 8

so

7(8) - 4(8)

56 - 32 = 23

FINALLY! Someone asks for a step-by-step! TYSM!

Since a=8, we ae going to replace the a variables with 8.

7(8)-4(8)

7x8=56

4x8=32.

Now we subtract.

56-32=24.

---

hope it helps

Answer:

12.1875 or 195/16 or 12 3/16

Step-by-step explanation:

All you must do is multiply them by each other

hope this helps

Answer:

12.19 inches

Step-by-step explanation:

please mark brainliest

Answer:

Step-by-step explanation:

a/b=7/5

a=7b/5

a+b=36, using 7b/5 for a we have

7b/5+b=36

7b/5+5b/5=36

12b/5=36

12b=180

b=15, and since a=7b/5

a=7(15)/5

a=21

So the numbers are 21 and 15

Answer:

C is the correct answer please like for more

Answer:

The height is 15

Solution :

Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1

Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the [tex]$S_{k,5}$[/tex] to denote an event of [tex]$k$[/tex] successes in the 5 trails, then the probability k are decoded at the receiver is:

[tex]$P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$[/tex]

           [tex]$=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$[/tex]

           [tex]$=\binom{5}{k}(0.9)^k(0.1)^{5-k}$[/tex]    

Here, k = 1, 2, 3, 4, 5

The probability of the transmitted bit to be decoded correctly is:

[tex]$P[C]=P[S_{5,5}]+P[S_{2,5}]$[/tex]

         [tex]$=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$[/tex]

         [tex]$=(0.9)^5+5(0.9)^4(0.1)^1$[/tex]

         = 0.91854

The probability that the deletion occurs is

[tex]$P[D]=P[S_{3,5}]+P[S_{2,5}]$[/tex]

          [tex]$=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$[/tex]

         [tex]$=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$[/tex]

         = 0.081

The probability of an error is

[tex]$P[E]=P[S_{1,5}]+P[S_{0,5}]$[/tex]

          [tex]$=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$[/tex]

         [tex]$=5(0.9)^1(0.1)^4+(0.1)^5$[/tex]

         = 0.00046

Step-by-step explanation:

g(x) = -X^2

which isn't an option.

Answer:

A

Step-by-step explanation:

yyjvgyujjjjuyrcjkoiffffgy

Answer:

To maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.

Step-by-step explanation:

Given that a farmer plans to grow wheat and corn, and each acre of wheat requires 4 hours of labor and $ 20 of capital, and each acre of corn requires 16 hours of labor and $ 40 of capital, and the farmer has at most 800 hours of labor and $ 2400 of capital available, if the profit from an acre of wheat is $ 80 and from an acre of corn is $ 100, to determine how many acres of each crop should she plant to maximize her profit the following calculation must be performed:

Knowing that each acre of wheat has a 50% lower capital cost, 75% lower hours and a 20% lower profit, in principle this would be the crop to be planted to obtain better yields.

2400/20 = 120

120 x 4 = 480

120 x 80 = 9,600

Thus, to maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.

Answer:

A triangle

Step-by-step explanation:

The angles of a triangles are straight

therefore the triangle is a straight triangular shape

Answer:

20

Step-by-step explanation:

Answer:

tom is 8 and becky is 18 now

Step-by-step explanation:

in two years becky would be 20 and tom will be 10

hope this helps

Answer:

There are 8 pints to a gallon so she makes 120 gallons, and since she served 100 pints then there are 20 pints left over.

Brainliest please?

Answer:

you plug in the numbers

Step-by-step explanation:

Please mark brainliest!!

Answer:

√x⁴-y²

x²-y²

(x+y)(x-y)

when

x=3

y=-6

√x⁴-y²=(3-6)(3+6)=-3×9=-27 is your answer