Use the substitution method for solve for x and y.


y = 2x + 10
y = -4x - 2

Answer:

a) Ub = 0,069

b)  CI 99 %  = ( 0,0287 ; 0,069 )

c) n = 2536

Step-by-step explanation:

Confidence Interval (CI) for proportion is

p₀  ±  z(c) * √ ( p₀*q₀ ) /n

Where     p₀  is the sample proportion

n = size of the sample

and z(c)   is z score for the significance level α

As    CI  = 99 %       α = 1%      α = 0,01      α/2 = 0,005

from z-table we find   z(c) = 2,57

p₀ = 12/300      p₀ = 0,04  ;    

n*p₀ = 12  > 10 and  n*q₀  = 300*0,96        n*q₀ = 288 > 10

We can use normal distribution as a valid  aproximation of binomial distibution

Then     z(c) = 2,57

a) upper bound for CI     Ub

Ub = p₀ + z(c) * √ p₀q₀/300

Ub = 0,04  +  2,57 * √ (0,04*0,96)/300

Ub = 0,04 + 0,0113

Ub = 0,069

b) CI at 99%  is

CI  = p₀  ±  z(c) * √ ( p₀*q₀ ) /n

we have already calculated the Ub = 0,069

the Lower bound would be   Lb = 0,04 - 0,0113

Lb = 0,0287

Then     CI 99 %  = ( 0,0287 ; 0,069 )

c) If      CI ≤ 0,02 we can find the minimun n value with the equation:

p₀  ±  z(c) * √ ( p₀*q₀ ) /n = CI   or    p₀  -  z(c) * √ ( p₀*q₀ ) /n = 0,01

For symmetry respect to p₀

z(c) *√ (p₀*q₀) / n  = 0,01

Solving for n

z(c) * √ ( p₀*q₀ ) /n = 0,01

2,57 * √ (0,04*0,96)/n  =  0,01

2,57 * √ 0,0384/n = 0,01

2,57 = 0,01/√ 0,0384/n

Squaring both sides of the equation

6,6049 = (0,01)² *n / 0,0384

0,0384*6,6049 / 0,0001  = n

n = 2536

9514 1404 393

Answer:

  C. 12cm

Step-by-step explanation:

The equation for the perimeter of the rectangle is ...

  P = 2(L+W)

  34 = 2(n +m)

Solving for m, we get

  m = 17 -n . . . . . . . divide by 2, subtract n

__

The Pythagorean theorem gives the relationship between the sides and the hypotenuse

  m^2 +n^2 = (n+1)^2

  (17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m

  289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses

  n^2 -36n +288 = 0 . . . . . . . put in standard form

  (n -12)(n -24) = 0 . . . . . . . . . factor

  n = 12 . . . . . . . . . . n=24 is an extraneous solution here

The value of n is 12 cm.

Answer:

12 cm. Just took the quiz! 12 is the right answer not 14 cm.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

Yes. If no right angle exists, then it's not a rectangle.

Step-by-step explanation:

m<1 + m<3/2 +m<4/2 =180

125+10 +m<4/2=180

135 +m<4/2 =180

m<4/2 =180-135

m<4/2 =45

m<4 = 90

Answer:

127 ft 3 3/8in

Step-by-step explanation:

Assuming the field is regulation (I can't see the model), the answer is 127 feet and 3 3/8 inches.

Answer:

[tex]19.9+0.05t<25[/tex]

Less than 102 text messages.

Step-by-step explanation:

Monthly charge of cell phone = $19.90

Cost of one text message = $0.05

Let number of text messages be [tex]t[/tex]

The monthly bill should be less than $25. So,

[tex]19.9+0.05t<25[/tex]

The required inequality is [tex]19.9+0.05t<25[/tex]

[tex]19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<\dfrac{5.1}{0.05}\\\Rightarrow t<102[/tex]

So, the number of text messages that can be sent while keeping the bill under $25 is less than 102.

Answer:

huh what am i looking at

Step-by-step explanation:

step-by-step explanation

Answer:

its skewed left if you are in k12

Step-by-step explanation:

Answer:

F(4) = 3*4 = 12

Step-by-step explanation:

Answer:

x>-1

Step-by-step explanation:

[tex] \frac{17}{17}x > - \frac{17}{17} \\x > - 1 [/tex]

Answer:

a. 0.52 = 52% probability that Linda gives the correct answer to a question.

b. 0.7692 = 76.92% probability that Linda knows the answer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Supplies the correct answer:

Event B: Knows the answer

A. What is the probability that Linda gives the correct answer to a question?

0.4(knows the answer)

1/5 = 0.2 of 1 - 0.4 = 0.6(guesses the answer). So

[tex]P(A) = 0.4 + 0.2*0.6 = 0.52[/tex]

0.52 = 52% probability that Linda gives the correct answer to a question.

B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?

Intersection of events A and B is knowing the answer and giving the correct answer, which means that [tex]P(A \cap B) = 0.4[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.52} = 0.7692[/tex]

0.7692 = 76.92% probability that Linda knows the answer

Answer:

D

Step-by-step explanation:

The article "an" can only be used with the word "event" so that automatically takes the choices b and c out of the way. An event is something that happens and causes the outcome, it is not the outcome, so it is not A. Thus, the answer is D

Answer:

A is the correct set of coins

The area of the parallelogram willl be equal to 48 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The parallelogram occupied by the parallelogram in a two-dimensional plane is called as the area of the parallelogram .

Given that:-

The area will be calculated as:-

Area = Height  x Base

Area = 6  x  8

Area = 48 square meters.

Therefore the area of the parallelogram willl be equal to 48 square meters.

To know more about an area follow

https://brainly.com/question/25292087

#SPJ2

Answer:

QRST becomes Q prime, R prime, S prime, T prime.

Step-by-step explanation:

Any figure that is rotated, translated or reflected on the corrdinate plane is considered a prime (as long as it is congruent (the same as, or equal to) with the original). The apostrophe stands for prime.

Ex. If you reflect triangle ABC across one of the axes, the original triangle will continue being ABC, while the reflection would be A' B' C' (or A prime, B prime, C prime). I hope this helps :)

Answer:

5

Step-by-step explanation:

to get from 5 to 1 you divide by 5 that is how you get the scale factor

Answer: 1/3 x 3.14 x 7(2) x 6 = 308

Step-by-step explanation:

I had the same question and I got it right so there you go :)

Answer:

Step-by-step explanation:

2x + a = bx - 5

3). a ≠ - 5 and b ≠ 2

4). a ≠ - 5 and b = 2

(5) a = - 5 and b = 2

Answer: 76.8356 and 12.5372

Step-by-step explanation:

Answer:

2 and 10

Step-by-step explanation:

We will assume to numbers represented by x and y.

From the question, we can write the following :

sum = x + y

difference = x - y

product = xy or x*y

Since we have two unknowns, general rule of thumb is that we require

2 equations to solve for them.

Using the ratio, of  sum:  difference and sum : product,

I can form these 2 equations:

(x + y) / (x -y) = 3/2  (1)

(x + y) / (x*y) = 3/5 (2)

In (1),

we cross multiply and do some tidying we will get

x = 5y

In (2),

we have 5x + 5y = 3x*y

We can then substitute x = 5y into (2) and get the following

5*5y + 5y = 3*5y*y

30y = 15y^2

2y = y^2

y^2 - 2y = 0

After factorization,

y(y - 2) = 0

you will have to options either use y = 0 or y = 2

If we use 2, then using equation (1),

we can solve for x which is 10.

Answer:

2 , 10

Step-by-step explanation:

(x+y) / (x-y) = 3/2   ..(1)

3x-3y = 2x+2y

x = 5y

(x+y) / xy = 3/5

(5y+y) / (5y*y) = 3/5

6y/5y² = 3/5

15y² = 30y

y = 2

x = 10

check: (2+10) : (10-2) : (10*2) = 12 : 8 : 20 = 3 : 2 : 5

Answer:

4x - 3 + 2y) - (-4y + 2) = 4x - 5 + 6y

Here. I think this is correct

Have a nice day.

ps:can you do me the brainliest.

Answer:

B im pretty sure!!

Step-by-step explanation:

Definition of Complementary and Supplementary Angles Complementary angles are two angles that add to 90 degrees. Supplementary are two angles that add to 180 degrees.

Answer:

7/7 also known as a whole (1)

Step-by-step explanation:

All you have to do is add 4 and 3 then keep the denominator the same (7)

Answer:

Solve for p by simplifying both sides of the equation, then isolating the variable.

p = − 300

Step-by-step explanation:

have a nice day

I think p=300???

Sorry if thiz is wrong. i dont really know that much

Answer:

0.57 hours

Explanation:

4 ÷ 7 = 0.5714285714285714

Rounded to the nearest 100th is :

0.57

Answer:

1 hour and 45 minutes

Step-by-step explanation:

I got this answer by dividing, so it takes her 1 3/4 hours which is converted to 1 hour and 45 minutes

Answer:

D

Step-by-step explanation:

A is wrong because 8 x 5 = 40

40 < 67

B is wrong because 8 x 6 = 30

48 < 67

C is wrong because 8 x 8 = 64

64 < 67

D is correct because 72 > 67

Hope this helps!! ♥︎

Answer:

Step-by-step explanation:

Since AC and AB are opposite equal angles AC=AB

2x-24=x-2

x=22

So BC=x=22

Hi there!

[tex]\large\boxed{3 \text{ boxes}}[/tex]

Calculate the number of boxes of cubes needed by calculating the volume of the pictured figure.

We can see that it has a width of 4 blocks, depth of 2 blocks, and a height of 8 blocks.

Calculate volume: V = l × w × h

V = 4 × 2 × 8  = 64 cubes in each box.

Since she needs 140 cubes, we can find how many boxes she would need for this amount:

140 ÷ 64 = 2.1875.

However, you cannot buy a part of a box, which is why you must round to a whole number. However, only buying 2 boxes would be too little.

Thus, she would need to buy 3 boxes.

Answer:

8%

Step-by-step explanation:

100/8300=.01204819277

.01204819277x664=8

they donated 8% of their earnings

have a great day :D

Answer:

this is hard but it si 55 percent

Step-by-step explanation: