Calculo de ángulos y valor de x
(240)
(4x-10)
(х410)​

Answer:

a. 1 ÷ 10 = 0.1

b. 0.1 x 1.4 = 0.14

Answer:

They are similar

Step-by-step explanation:

If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.

This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:

LM/LQ = LN/LP

LM = 100

LQ = 12

LN = 75

LP = 9

LM/LQ = 100/12 = 25/3

LN/LP = 75/9 = 25/3

LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.

Answer:

a)

P(X = 0) = 0.2840

P(X = 1) = 0.4201

P(X = 2) = 0.2331

P(X = 3) = 0.0575

P(X = 4) = 0.0053

c) The most likely value for X is 1.

d) 0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.

Step-by-step explanation:

For each homeowner, there are only two possible outcomes. Either they are insured against earthquake damage, or they are not. Homeowners are independent. 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.

27% of all homeowners are insured against earthquake damage.

This means that [tex]p = 0.27[/tex]

Four homeowners are to be selected at random.

This means that [tex]n = 4[/tex]

(a) Find the probability distribution of X.

This 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_{4,0}.(0.27)^{0}.(0.73)^{4} = 0.2840[/tex]

[tex]P(X = 1) = C_{4,1}.(0.27)^{1}.(0.73)^{3} = 0.4201[/tex]

[tex]P(X = 2) = C_{4,2}.(0.27)^{2}.(0.73)^{2} = 0.2331[/tex]

[tex]P(X = 3) = C_{4,3}.(0.27)^{3}.(0.73)^{1} = 0.0575[/tex]

[tex]P(X = 4) = C_{4,4}.(0.27)^{4}.(0.73)^{0} = 0.0053[/tex]

So the probability distribution is

P(X = 0) = 0.2840

P(X = 1) = 0.4201

P(X = 2) = 0.2331

P(X = 3) = 0.0575

P(X = 4) = 0.0053

(c) What is the most likely value for X?

P(X = 1) has the highest probability, so X = 1 is the most likely value.

(d) What is the probability that at least two of the four selected have earthquake insurance?

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.2331 + 0.0575 + 0.0053 = 0.2959[/tex]

0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.

Answer: the slope should be 6 I’m sure

Step-by-step explanation:

Answer:

y

=

−

6

x

−

1

Step-by-step explanation:

x-1

Answer:

don't know

Step-by-step explanation:

umm

Given parameters :

To find :

Solution with details :

Let us take the age of Donny as x years - i

According to the given question we have ,

Total ages of three people = Sum of their ages

Answer:

1) 6

2) 8/125

3) 5

4) 4/5

Step-by-step explanation:

1) 2x2x2x2x2x2 = 64     then  2^6 = 64

2) (2/5)^3 =8/125

3) 3x(3^4) = 3^5

4) sq rt 16/25 = 4/5

Answer: The graph shows that people procrastinate by doing their taxes mostly in April then in the beginning of the year in January

Step-by-step explanation: think about it the name in the title has procrastinated in it which means holding off for a certain amount of time, then look at the graph most the people held off until April, why must you ask? Because the taxes are higher in the beginning of the year

Answer:

x=  9     y=5

Step-by-step explanation:

hello :

use phtagor-rul :

y² = 3²+4²

y² =25

so : y=5

same method :

15²=12²+x²

x² =15²-12²

x² =225-144

x² = 81

so : x= 9

Answer:

-4

Step-by-step explanation:

5 - [6 - 2 - (1 - 8) - 3 + 6] + 5 =

Simplify.

5 - [6 - 2 + 7 - 3 + 6] + 5 =

Subtract

5 - [4 + 7 - 3 + 6] + 5 =

Add

5 - (11 - 3 + 6) + 5

Subtract

5 - (8 + 6) + 5

Add

5 - 14 + 5

Simplify by adding and subtracting.

-4

good luck, i hope this helps :)

Answer:

[tex]sln \\ 5 - (6 - 2 - (1 - 8) - 3 + 6) + 5 \\ 5 - (4 - ( - 7) + 3) +5\\ 5 - (4 + 7 + 3)+5 \\ 5 - (14) +5\\ 5 - 14 \\ - 9[/tex]+5

=-4

I hope this help

Answer:

y = 16.3

Step-by-step explanation:

We would apply the formula for altitude of a right triangle which is given as:

h = √(xy)

Where,

h = 14

x = 12

y = y = ?

Plug in the values

14 = √(12*y)

14² = (√(12*y) (squaring both sides)

196 = 12*y

196/12 = 12y/12 (division property of equality)

16.3 = y (nearest tenth)

y = 16.3

Answer:  24 ???

Step-by-step explanation:

4 mins to run 5 ... so im guessing it goes by 5

5 = 4

10 = 8

15 = 12

20 = 16

25 = 20

30 = 24

I am not sure if its right but that what i think ( you can use a table btw one colom that says laps and starts with 5 then the other colom that says mins and starts with 4

Hope its right Good Luck have a good rest of your day

Answer:

the answer would be -4x

Step-by-step explanation:

dividing (-20xyz) by (5zy) = 3

Answer:

area of the square = (SIDE)2

=( 4)^2

= 16 answer

Answer:

78

Step-by-step explanation:

37-71

2538

37003-221

35303

Answer:

x=33.5334≈33.5 feet

Step-by-step explanation:

Answer: y = 3x -2

Slope =3

Y-intercept = -2

Step-by-step explanation:

2y+8 = 6x + 4

Subtract 8 on both sides.

2y = 6x -4

Divide by 2. 2y divided by 2 leaves just y. 6x divided by 2 is 3x. -4 divided by 2 is -2.

Hopefully I did this correctly and it helps you!

Answer:

I believe it's the last one, if you start from the lowest vertex it would be M'H'I'J'K'L'

Answer:

B- 24 pints

Step-by-step explanation:

128 x 3= 384 ounces

1 ounce = 0.0625

0.0625 x 384= 24 pints

Hope this helps ^-^

Answer:

D. The y-intercept is at (0,2)

Step-by-step explanation:

f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x

In the exponential function ab^x a is the y-intercept (in this case a is 2)

Y-intercept of g(x) at (0,2) which is correct option(D).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

f(x) = 2ˣ

g(x) = 2f(x) = 2(2ˣ)

The y-intercept of g(x) = 2f(x),

Substitute in 0 for x and solve for y

y=2(2⁰)

Anything raised to 0 is 1 .

y=2

Y-intercept in point form.

Hence, y-intercept of g(x) : (0,2)

Learn more about Graph here :

https://brainly.com/question/16608196

#SPJ5

Answer:

6x-30

Step-by-step explanation:

Just multiple like this (6)(x-5)

Answer:

please be more specific

Step-by-step explanation:

Answer:

As a logarithm, the money had been in the account for [tex]t = \frac{\ln{2}}{0.08}[/tex] years.

Step-by-step explanation:

The amount of money in the account after t years is given by:

[tex]A(t) = Pe^{rt}[/tex]

In which P is the initial amount deposited and r is the interest rate, as a decimal.

Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%.

This means that [tex]P = 1600, r = 0.08[/tex]

After t years, there was $3,200 in the account. How many years had the money been in the account?

This is t for which [tex]P(t) = 3200[/tex]. So

[tex]A(t) = Pe^{rt}[/tex]

[tex]3200 = 1600e^{0.08t}[/tex]

[tex]e^{0.08t} = \frac{3200}{1600}[/tex]

[tex]e^{0.08t} = 2[/tex]

[tex]\ln{e^{0.08t}} = \ln{2}[/tex]

[tex]0.08t = \ln{2}[/tex]

[tex]t = \frac{\ln{2}}{0.08}[/tex]

[tex]t = 8.67[/tex]

As a logarithm, the money had been in the account for [tex]t = \frac{\ln{2}}{0.08}[/tex] years.

The value of time t is [tex]\frac{ln(2)}{0.08}[/tex].

Given: P=1600

r=8%=0.08

t = ?

A=3200

Using the given compound interest formula we get:

[tex]A=Pe^{rt}\\3200=1600e^{0.08t}\\2=e^{0.08t}\\[/tex]

Take ln on both sides,

[tex]ln(2)=ln(e^{0.08t})\\ln(2)=0.08t\\t=\frac{ln(2)}{0.08}[/tex]

Learn more: https://brainly.com/question/12325365

Answer:

1.5137 is the right answer.

Answer:

80cm3

Step-by-step explanation:

volume of the composite solid=volume of the

pyramid+

volume of the

cuboid

volume of the pyramid=1/3* base area*height

=1/3*5*4*6

=40cm3

volume of the cuboid=base area *height

=5*4*2

=40cm3

volume of the composite solid=40cm3+40cm3

=80cm3