Solve the system of equations by substitution.
x+y=32
y=7x

Answer:

with what?

Step-by-step explanation:

Answer:

[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]

Step-by-step explanation:

From the information given:

p = x/n

p = 7/10

p = 0.7

sample size n = 15

Suppose X be the number of accidents involved by a single-vehicle.

Then;

[tex]X \sim Binom (15,0.7)[/tex]

Thus, the required probability that at most  4 involve in a single-vehicle is

[tex]P(X\le 4) \\ \\P(X \le 4) = P(X = 0) + P(X =1 ) + ... + P(X = 4)[/tex]

[tex]P(X \le 4 ) = (^{15}_0) *0.7^0 *0.3^{15-0} + (^{15}_1) *0.7^1 *0.3^{15-1} + (^{15}_2) *0.7^2 *0.3^{15-2} + (^{15}_3) *0.7^3 *0.3^{15-3} + (^{15}_4) *0.7^4 *0.3^{15-4}[/tex]

[tex]P(X \le 4 ) = (\dfrac{15!}{0!(15-0)!}) *0.7^0 *0.3^{15-0} + (\dfrac{15!}{1!(15-1)!}) *0.7^1 *0.3^{15-1} + (\dfrac{15!}{2!(15-2)!}) *0.7^2 *0.3^{15-2} + (\dfrac{15!}{3!(15-3)!}) *0.7^3 *0.3^{15-3} + (\dfrac{15!}{4!(15-4)!}) *0.7^4 *0.3^{15-4}[/tex]

[tex]P(X \le 4 ) =1.4348907 \times 10^{-8} +5.02211745 \times 10^{-7} + 8.20279183 \times 10^{-6} + 8.29393397 \times 10^{-5} + 5.80575378 \times 10^{-4}[/tex]

[tex]P(X \le 4 ) =6.7223407 \times 10^{-4}[/tex]

[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]

Answer:

NO they are not proportional

Step-by-step explanation:

52.3/3=62.45/5 Lets see if that is correct.

52.3/3 is  17.433333333

62.45/5 is 12.49.

No they are not the same

Hope this helps plz hit the crown :D

Answer:161500

Step-by-step explanation:that's your  answer

Find the difference in elevations:

8720 - 6350 = 2370 feet.

Difference in mile markers: 12-7 = 5

Average change = feet / markers

2370/5 = 474

The answer is 474 feet

Answer:

boys:girls

5:4

?:60

multiply 15.

?=75 boys.

Hope it helps.

Answer:

Hello there.

5:4

75:60

Step-by-step explanation:

if 60/4=15, multiply 15 with 5.

your answer is 75.

Hope it helps, thank you.

Answer:

hello, there.

Step-by-step explanation:

General kanobi

Answer:

.29

Step-by-step explanation: Subtract first by last

Answer:

0.29m longer

Step-by-step explanation:

Longest jump = 4.27m

Shortest jump = 3.98m

4.27 - 3.98 = 0.29m

Answer:

keeping an eye on graph

Step-by-step explanation:

its answer will be

total price for 12.5 pound of rice=$32.5

Answer:

Subtract 4

-10=1/8* x

Divide by 1/8

x= -80

Please rate positively and give brainlist!

Answer:

x = -80

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-6 = x/8 + 4

Step 2: Solve for x

Answer:

117

Step-by-step explanation:

Answer: 129-12=117

Step-by-step explanation: 117 apples would be left.

‍♀️‍♀️‍♀️‍♀️‍♀️‍♀️‍♀️‍♀️

Answer:

The sum of the areas of square N and square L is equal to the area of square K

Answer:

x=33

Step-by-step explanation:

The angles have to add up to 180, so you get:

2x - 18 + 4x = 180

6x = 180 + 18

x = 198/6

x = 33

Answer:

No it is not proportional

Step-by-step explanation:

You cant multiply each of the inputs by a constant number to get the output.

There is only 2 of them that you can, but the other 2 no. And you want he whole table so you need all of the inputs not just some. So no, its not proportional.

Hope this helped!

Answer:

would it be 40?

Step-by-step explanation:

Answer:

The answer is either 1.0022727272727274, 40, or 1.8375000000000001.

Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!

Answer:

8πcm²/sec

Step-by-step explanation:

The radius of the circle increases at a rate of dr/dt = 0.25cm/sec

The radius of the circle r = 16cm

The area of the circle increases at a rate of dA/dt = ?

Area of a circle = πr²

We take the derivative with respect to t

dA/dt = 2πrdr/dt

dA/dt = 2 π (16)(0.25)

dA/dt = 8πcm²/sec

Thank you!!!

Answer:

8pi cm^2/sec

Step-by-step explanation:

took the unit test, also give other person brainliest, their answer was REALLY good.

Answer:

Both processes will yield same results and he need not worry

Step-by-step explanation:

Let us firstly check if we will have same results on both steps

y before x

Let us have the point (x,y) on the triangle

y reflection

(-x,y)

then x reflection

(-x,-y)

Let us now get the order in which my friend followed

x reflection

(x, -y)

y reflection

(-x,-y)

we can see that both processes have same results and thus, my friend need not worry

Answer:

The order of these two reflections  

does not

matter. The resulting image  

is

the same for a reflection in the y-axis followed by a reflection in the x-axis as for a reflection in the x-axis followed by a reflection in the y-axis.

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

Answer:

correct answer is a

Step-by-step explanation:

its a function as long as every input has one output, 1 output can have any number of inputs

i choose d mb  i got it wrong

Answer: 80

Step-by-step explanation:

Total amount in a triangle is 180

180 - 80 - 20 = 80

Answer:

8.3

Step-by-step explanation:

Add all of the shoe sizes together then divide by how many shoe sizes there are and you will get your answer

Answer:

Kennedy will earn 21.7 dollars per hour.

Step-by-step explanation:

It is given:

[tex]\mu=1000[/tex], [tex]\sigma=200[/tex]

Let x be the random variable that denotes the number of hours the lamp lights up.

what number of lights might expected to fail in the first 800 burning hours

Answer: We are required to find the expected number of lights to fail in the first 800 burning hours.

First, we have to find the probability as:

P(Z < 800)

Using the z-score formula, we have:

Using the z-score formula, we have:

[tex]P(x <800)=P \left(z<\frac{800-1000}{200} \right )[/tex]

=P(z<-1)

Now using the standard normal table, we have:

P(x<800)=P(z<-1)=0.1587

Therefore, the expected number of lights to fail in the first 800 burning hours is:

[tex]\boldsymbol{0.1587 \times 10000=1587}[/tex]

After how many burning hours 10% of the lamps would be still burning?

We first need to find the z-value corresponding to area = 1- 0.10 = 0.90. Using the standard normal table, we have:

z(0.90)=1.28

Now using the z-score formula, we have:

[tex]z= \frac{x-\mu}{\sigma}[/tex]

[tex]1.28= \frac{x-1000}{200}[/tex]

[tex]1.28 \times 200= x-1000[/tex]

[tex]256= x-1000[/tex]

x= 1000+256

[tex]\boldsymbol{x= 1256 }[/tex]

Using the Zscore principle, the number of bulbs expected to Fail in the first 800 burning hours is 1587

Given the Parameters :

The number of Lamps that might be expected to fail in the first 800 burning hours :

Recall:

Zscore = (800 - 1000) / 200 = -1

Using the normal distribution table :

P(Z < -1) = 0.15866

The number of bulbs expected to fail :

0.15866 × 10000 = 1586.6

Hence, 1587 bulbs are expected to fail in the first 800 burning hours.

Learn more : https://brainly.com/question/25226377

Let [tex]e[/tex] and [tex]r[/tex] be the number of elves and reindeers, respectively.

We know that:

[tex]r+e=14[/tex] (so far 14 of them have arrived)

[tex]4r+2e = 38[/tex](each reindeer has 4 legs and each elf has two)

If we multiply the first equation by 2 we have [tex]2r+2e=28[/tex], and if we subtract this equation from the second we have [tex]2r=10[/tex] which implies [tex]r=5[/tex].

So, there are 5 reindeers and 9 elves (remember that they have to sum up to 14).

The number of reindeers is 5 and the number of elves is 9.

Two equations can be derived from the equation:

e + r = 14 equation 1

2e + 4r = 38 equation 2

Where:

e = number of elves at the meeting

r = number of reindeers at the meeting

In order to determine the value of r, multiply equation 1 by 2.

2e + 2r = 28 equation 3

Subtract equation 3 from 2

2r = 10

Divide both sides of the equation by 2

r = 5

To solve for e substitute for r in equation 1

5 + e = 14

e = 14 - 5

e = 9

A similar question was answered here: brainly.com/question/23589883?referrer=

Answer:

The probability of the outcome being an A is 1/2.

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.

---------------------------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.

---------------------------------------------

The probability of the outcome being an A is:

[tex]p = \frac{4}{8} = \frac{1}{2}[/tex]

Thus:

[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.

A similar problem is found at https://brainly.com/question/16069806

Answer:

Option c - 2x + 1

Step-by-step explanation:

6x^2 - 10x +3x - 5

2x(3x-5) +1 (3x - 5)

(2x+1) (3x-5)

Answer:

Since it is a linear function, it is a directly proportional function

Step-by-step explanation:

i looked it up

9514 1404 393

Answer:

  no

Step-by-step explanation:

An equation representing a proportional relationship looks like ...

  y = kx

where k is the constant of proportionality. A notable feature of this equation is that its y-intercept is zero.

Your expression has a y-intercept of +4, so does not represent a proportion.

_____

Additional comment

Strictly speaking, a proportion is a statement of equality of two ratios. An expression cannot be a proportion. We interpreted your question to be ...

  does y = 3x+4 express a proportional relationship?