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xz_007 [3.2K]
3 years ago
6

Which will help you build a good credit history

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0
Make 100% of your payments on time and keep your credit card debt low.
You might be interested in
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The
kifflom [539]

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

8 0
3 years ago
Solve the given differential equation by using an appropriate substitution. the de is homogeneous. (y2 yx) dx − x2 dy = 0
Schach [20]

The solution for the given differential equation is lnlxl = \frac{-x}{y} +C

Given,

(y^{2} +y^{x} )dx - x^{2} dy =0

Here,

x = vy, dx = vdy + ydv

y = ux, dy = udx + xdu

Then,

((ux)^{2} +(ux)x)dx-x^{2} (udx+xdu)=0\\=u^{2} x^{2} dx+ux^{2} dx-x^{2} udx-x^{3} du=0\\=u^{2} x^{2} dx=x^{3} du\\=\frac{x^{2} }{x^{3} } dx=\frac{1}{u^{2} } du

Now,

\int\limits^a_b {\frac{1}{x} } \, dx =\int\limits^a_b {u^{-2} } \, du

lnlxl=\frac{u^{-1} }{(-1)} +C

lnlxl=\frac{-1}{u} +C

y = ux

u = \frac{y}{x}

That is lnlxl =\frac{-x}{y} +C

Learn more about differential equation here: brainly.com/question/21852102

#SPJ4

8 0
1 year ago
What is the solution to 3x -2y =1 and 4y = 7 + 3x
Delvig [45]

Given.

3x-2y=1 (1)

4y=7+3x (2)

Re-arrange equation (2)

(4y=7+3x)-4y

0=-4y+3x+7

(0=-4y+3x+7)-7

-7=-4y+3x

Multiply equation (2) by -1

-1(3x-4y=-7)

-3x+4y=7(3)

Combine like terms and solve.

3x-3x-2y+4y=1+7

2y=8

Divide by (2y) and solve for (y).

\frac{2y}{2}=\frac{8}{2}

y=4

Substitute (y) for equation (1).

3x-2y=1

3x-2(4)=1

3x-8=1

Add (8) to both sides.

(3x-8)+8=(1)+8

3x=9

Divide by (3).

\frac{3x}{3}=\frac{9}{3}

x=3

Check your work.

3x-2y=1

3(3)-2(4)=1

9-8=1

1=1

4y=7+3x

4(4)=7+3(3)

16=7+9

16=16

Your answers is x=3 and y=4

8 0
3 years ago
What is the inverse of y=1/4X-4
madam [21]
Answer is -1/4x+4=-y
7 0
3 years ago
A bird starts from the ground, flies at a certain speed for 5 seconds, and lands on a tree branch.The vector representing its po
larisa [96]

Answer: The vector represents its new position is (10,25)

Step-by-step explanation:

A bird starts from the ground, that is (0,0) position and flies at a certain speed for 5 seconds, and lands on a tree branch.The vector representing its position is (4,10).

The rate of increase = slope will be

Slope = 10/4 = 2.5

It continues to fly in the same direction and at the same speed for 5 or more seconds

Since it is travelling at same speed and time, Slope will be the same

Slope = (y - 10)/(x - 4) = 5/2

The new x position = 4 × 5/2 = 10

The new y position = 10 × 5/2 = 25

The vector represents its new position is (10 , 25)

7 0
3 years ago
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