Solve the system of linear equations by graphing. Check your solution.

Find the value of y. Picture below

olga2289 [7]

We have trapezoid with congruent legs.

30x + 11y = 2x + 3

28x +11y = 3

Also we have

30x + 11y = 12

We got 2 equations:

30x + 11y = 12

28x +11y = 3 (*-1) -----> -28x -11y = -3

30x + 11y = 12

-28x -11y = -3

2x = 9

x=9/2

30x + 11y = 12 ------> 30*9/2 +11y =12 ------> 135+11y =12, ---> 11y = - 123,

y= - 123/11

6 0

3 years ago

The distance from Earth to the moon about 224 miles. The distance from earth to neptune is about 227 miles. which distance is th

Whitepunk [10]

The distance from earth to Neptune is greater. And it’s 1.0133 times greater. (I think)

3 0

3 years ago

Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog

lorasvet [3.4K]

Answer:

a) Standard Error = 0.010

b) 95% Confidence Interval = (0.0924 , 0.1316)

Step-by-step explanation:

a) The formula for Standard Error = √Sample Proportion (1 - sample proportion)/n

Standard Error = √p (1 - p)/n

We are told in the question that:

In a random sample of 400 people, 112 agree and 288 disagree. Estimate the standard error using 1000 samples

p = x/n

n = 1000 because we were told to use it instead of 400

x = number for people that agree = 112

p = 112/1000

p = 0.112

Standard Error = √p (1 - p)/n

= √0.112 (1 - 0.112)/1000

= √0.112 × 0.888/1000

= √0.099456 /1000

= √0.000099456

= 0.0099727629

Approximately to 3 decimal places = 0.010

Therefore, the standard error is 0.010

b) The Question above also asked that we solve for the 95% Confidence Interval

The formula =

p ± z × Standard Error

p = 0.112

z score for 95% confidence interval = 1.96

Standard Error = 0.010

Confidence Interval =

0.112 ± 1.96 × 0.010

= 0.112 ± 0.0196

0.112 - 0.0196

= 0.0924

0.112 + 0.0196

0.1316

Therefore, the 95% confidence interval = (0.0924 , 0.1316)

8 0

3 years ago

Read 2 more answers

I will give brainiest to whoever answers correctly !!

IgorC [24]

Answer:

Interest rate, R = 244%

Step-by-step explanation:

Given the following data;

Principal = $270

Simple interest = future amount - principal = 309.60 - 270 = $39.60

Time = 22/360 = 0.06 years

To find the interest rate?

Mathematically, simple interest is calculated using this formula;

$S.I = \frac {PRT}{100}$

Where;

S.I is simple interest.

P is the principal.

R is the interest rate.

T is the time.

Substituting into the equation, we have;

$39.60 = \frac {270*R*0.06}{100}$

Cross-multiplying, we have;

$39.6 * 100 = 16.2*R$

$3960 = 16.2R$

$R = \frac {3960}{16.2}$

Interest rate, R = 244.44 ≈ 244%

Therefore, the pawnbroker charged Elisa a simple interest rate of 244%.

5 0

3 years ago

Sangeet got 96% of his answers right in a test of 50 marks. What was his score out of 50?

Ulleksa [173]

Answer:

48 out of 50 correct answers

8 0

3 years ago