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3 years ago

Y = x - 4 y = 4x + 2 x= y =

Mathematics

2 answers:

babymother [125]3 years ago

3 0

Answer:

(-3/2, -11/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x - 4

y = 4x + 2

Step 2: Solve for x

Substitution

Substitute in y: x - 4 = 4x + 2
Isolate x terms: -4 = 4x + 2
Isolate x term: -6 = 4x
Isolate x: -3/2 = x
Rewrite: x = -3/2

Step 3: Solve for y

Define equation: y = x - 4
Substitute in x: y = -3/2 - 4
Subtract: y = -11/2

Olenka [21]3 years ago

3 0

Answer by Khan Academy:

x=−2

y=−6

Hope This Helped Everyone

Step-by-step explanation:

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The Pew Research Center has conducted extensive research on the young adult population (Pew Research website, November 6, 2012).

Rudik [331]

Answer:

a) $0.93 - 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.908$

$0.93 + 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.952$

The 95% confidence interval would be given by (0.908;0.0.952)

b) $0.21 - 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.163$

$0.21 + 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.257$

The 99% confidence interval would be given by (0.163;0.0.257)

c) The margin of error for part a is:

$ME= 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.0224$

And for part b is:

$ME=2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.0470$

So then the margin of error is larger for part b.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.93 - 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.908$

$0.93 + 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.952$

The 95% confidence interval would be given by (0.908;0.0.952)

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.21 - 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.163$

$0.21 + 2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.257$

The 99% confidence interval would be given by (0.163;0.0.257)

Part c

The margin of error for part a is:

$ME= 1.96\sqrt{\frac{0.93(1-0.93)}{500}}=0.0224$

And for part b is:

$ME=2.58\sqrt{\frac{0.21(1-0.21)}{500}}=0.0470$

So then the margin of error is larger for part b.

7 0

3 years ago

A peregrine falcon can fly 322 km/h how many meters per hour can the falcon fly??

Olin [163]

322,000 meters per hour...Good Luck! God bless

7 0

3 years ago

Find the whole using the percent equation. 18 is 6% of what number?

FromTheMoon [43]

Answer:

300

Step-by-step explanation:

Is means equals and of means multiply

18 = 6% * N

Change to decimal form

18= .06N

Divide by .06 on both sides

18/.06 = .06N/.06

300 = N

The number is 300

4 0

3 years ago

An oven is set for 425° F. A pizza is baked in the oven, then the oven is turned off.

Eva8 [605]

Answer:

um ok is there any more to that question

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The sports field at Patton Elementary School is shaped like a rectangle.The field is 72 yards long and 46 yards wide.What is the

svet-max [94.6K]

Answer:

3312 square yards.

Step-by-step explanation:

Given:

The sports field at Patton Elementary School is shaped like a rectangle having:

Length = 72 yards

Breadth = 46 yards

Question asked:

What is the area of the field in square yard ?

Solution:

As here sports field at Patton Elementary School is shaped like a rectangle, thus we will use the formula ;

$Area \ of\ rectangle=length \times breadth$

$=72\ yards\times46\ yards\\=3312\ square\ yards$

Thus, the area of the sports field at Patton Elementary School is 3312 square yards.

7 0

3 years ago