Merle opened a new savings account she deposited 40,000 at 10% compounded semiannually at the start of the fourth year merle deposits an additional 20,000 that is also compounded semiannually at 10% at the end od six years the balance in merle account is

Answer:

29x + 28

Step-by-step explanation:

1. 4(6x + 2) + 5(x + 4) = 24x + 8 + 5x + 20

2. 24x + 5x + 8 + 20

3. 29x + 28

Given:

One of the legs of a right triangle is 9 cm.

The area of the triangle is 225 cm².

To find:

The length of the other leg.

Solution:

The area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

The area of a right triangle is

[tex]Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)[/tex]

Let x be the length of other leg.

[tex]225=\dfrac{1}{2}\times (9)\times (x)[/tex]

[tex]2\times 225=9x[/tex]

[tex]\dfrac{450}{9}=x[/tex]

[tex]50=x[/tex]

Therefore, the length of the other leg is 50 cm.

Answer:

a)

The possible values are 0, 1, 2 and 3.

The probability mass function of X is:

P(X = 0) = 0.125

P(X = 1) = 0.375

P(X = 2) = 0.375

P(X = 3) = 0.125

b)

[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]

c) E(X) = 1.5, Var(X) = 0.75

Step-by-step explanation:

For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So 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.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

A fair coin is flipped three times.

This means that [tex]n = 3[/tex]

Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]

a) Give both the possible values and probability mass function of X.

The possible values are from 0 to n, so 0, 1, 2 and 3.

The probability mass function is the probability of each outcome. So

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

[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]

[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]

[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]

[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]

(b) Find P(X ≥ 1) and P(X > 1).

[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]

[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]

(c) Compute E[X] and Var(X).

[tex]E(X) = np = 3*0.5 = 1.5[/tex]

[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]

Answer:

Step-by-step explanation:

All sides are equal. So sticky note is in the shape of square.

Area = side * side  = 9 * 9 = 81 sq.cm

The answer is 87.12

Just check it once

Answer:

87.92

that is the answer

3.14(4^2+12)

this is how it looks in normal form without a and b

4^2 is going to be 16

16+12= 28

3.14 times 28= 87.92

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

1 ft = 12 in

4 x 12 = 48

0.975 is P(x ≥242) with a mean of 266 and standard deviation of 12

The required value of P(x> 242) = is 0.975 for normal distribution. Option D is correct.

The normal distribution has a mean of 266 and a standard deviation of

12. What is P(x> 242) is to determine.

Normal distributions can be altered to standard normal distributions by the formula:

Z = (X - μ)/σ

Where x is a value from the initial normal distribution, μ is the mean of the initial normal distribution, and σ is the standard deviation of the initial normal distribution. The standard normal distribution is periodically called the z distribution.

Now,
z = X - 266 /12
p(x > 242) = P [(X - 266)/12 ≥ (242 - 266)/12]
p(x > 242) = P [z ≥ -24/12]
p(x > 242) = P [z ≥ -2]
p(x > 242) = P [z ≤ 2]
p(x > 242) = 0.975  (from Z table).

Thus, the required value of P(x> 242) = is 0.975. Option D is correct.

Learn more about normal distribution here:
https://brainly.com/question/12421652

#SPJ2

Answer:

Dirty unwashed hands

Step-by-step explanation:

Answer:

Clean hands and clean food

Step-by-step explanation:

jk

Answer: The given expression (3x − 5) − (4x + 6) =  -x - 11.

Step-by-step explanation:

Given : Expression (3x − 5) − (4x + 6).

We have to simplify the given expression.

Consider the given expression (3x − 5) − (4x + 6).

Remove Parentheses ,

we have,

(3x − 5) − (4x + 6) = 3x - 5 - 4x -6

Combining like terms, we have,

LIKE TERMS are terms having same variable with same degree.

here 3x and -4x are like term  and -5 and -6 are like terms,

Simplify, we have,

= 3x - 4x - 5 - 6

= -x - 11

Thus, the given expression (3x − 5) − (4x + 6) =  -x - 11.

Step-by-step explanation:

hope this helps have a nice day❤️❤️❤️❤️

Answer: The given expression (3x − 5) − (4x + 6) =  -x - 11.

Step-by-step explanation:

Given : Expression (3x − 5) − (4x + 6).

We have to simplify the given expression.

Consider the given expression (3x − 5) − (4x + 6).

Remove Parentheses ,

we have,

(3x − 5) − (4x + 6) = 3x - 5 - 4x -6

Combining like terms, we have,

LIKE TERMS are terms having same variable with same degree.

here 3x and -4x are like term  and -5 and -6 are like terms,

Simplify, we have,

= 3x - 4x - 5 - 6

= -x - 11

Thus, the given expression (3x − 5) − (4x + 6) =  -x - 11.

Step-by-step explanation:

hope this helps have a nice day and god bless u ❤️❤️❤️❤️

Answer:

Step-by-step explanation:

When you compare the ratios of the perimeters of these similar triangles, you also get 2 : 1. This leads to the following theorem. Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b. Figure 2 Perimeter of similar triangles.

Answer:

150.8

Step-by-step explanation:

Hope it helps.

Answer:

(2a)3

Step-by-step explanation:

Hopes This Helps!!

Answer:

Step-by-step explanation:

54.3

Answer: 54.4

Step-by-step explanation: The 6 rounds the 3 up to 4. If it was 4 (54.4) or below it would be 54.3.

Answer:

the correct answer is 7

....... hope it helps you

Answer:

[tex]thank \: yo[/tex]

Answer: Pretty sure it’s A. I’m not sure thought that makes the most sense to me.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

total cost= 5.95(number of popcorn ordered)

Answer:

13x+13

Step-by-step explanation:

Answer:

−3x+13

Step-by-step explanation:

HOPE IT HELPED

9514 1404 393

Answer:

  49°

Step-by-step explanation:

Angles A and C are complementary, so we have ...

  (3x -7) +(2x +17) = 90

  5x = 80 . . . . . . . . . . . . . subtract 10

  x = 16 . . . . . . . . . divide by 5

Then the measure of angle C is ...

  ∠C = 2x +17 = 2(16) +17

  ∠C = 49

Answer:

486cm^2

Step-by-step explanation:

cube volume: 729cm^3

cube faces count: 6

How you calculate square area:

s(cm) * s(cm) or just s^2(cm^2)

s = side length

If you want to find out the side length of a cube by its volume. Then simply just remove the ^3 by taking the cubic root (also written ^(1/3))

729^(1/3) = 9

then just calculate the area like i showed earlier:

(9cm)^2 = 81cm^2

But that is only one side of a cube's 6 sides, so multiply by 6:

81cm^2 * 6 = 486cm^2

Hope i could help :D

Dont be scared to ask me questions..

Answer:

h = 80

Step-by-step explanation:

Answer:

1.78

Step-by-step explanation:

Answer:

Read explanation

Step-by-step explanation:

If you get a normal ruler it will be one foot total. You add the bigger measurements twice because they're an inch. Then you add half of those measures. It will be numbered 1, 2, 3... so on . In other words, the longer lines are inches and the shorter ones are centimeters.

Answer:

So here's a step by step

1: Pick up your ruler.

2: Make sure the ruler is not broken or cracked.

3: Find the thing you want to measure.

4: Put the ruler against the object.

5: Make sure the 0 on the ruler is right on the side of what your measuring.

6: When all that is done find the 2 on the ruler that is 2 inches

7: Then find the 1/2 mark next to the 2 that is 2 1/2 inches.

Dont know why you needed this but here lol.

Step-by-step explanation:

           May I have brainiest please I'm leveling up!

                           </3 PureBeauty

Answer:

simple random sampling

Step-by-step explanation:

Answer:

36/25

Step-by-step explanation:

[tex]x^{-y}=\frac{1}{x^y}\\\\2^-1+3^-1=\frac{1}{2}+\frac{1}{3}=\frac{5}{6}\\\\\frac{5}{6}^{-2}=\frac{6}{5}^2=\frac{36}{25}[/tex]

Answer:

150

Step-by-step explanation:

1) the full volume of the given pyramide may be calculated according to the formula:

V=1/3 *Area_of_base*height;

V=1/3 *(5*15)*12=300 (in³).

2) the half of the calculated volume is:

300/2=150 (in³)

Answer:

150

Step-by-step explanation: