In interval estimation, the t distribution is applicable only when

a. the population has a mean of less than 30.

b. the sample standard deviation is used to estimate the population standard deviation.

c. the variance of the population is known.

d. the mean of the population is unknown.

Answer:

  A.  F(x) = 1/(x +2)²

Step-by-step explanation:

The asymptote at x = -2 tells you that x -(-2) = x +2 is a denominator factor. The fact that the function has the same sign on both sides of the asymptote tells you that factor has even degree.

Of the choices listed, the appropriate one is ...

  F(x) = 1/(x +2)²

Answer:

(b) 6.25%

Step-by-step explanation:

Margin of error is the chances of percentage deviation that may differ from original population data. The margin of error for 95% confidence interval can be 6.25%. To find this we divide population standard deviation with square root of sample size. The margin of error is the estimate of the deviation from actual and real value of population.

Answer:

  $18,141.20

Step-by-step explanation:

The assessed value is $880,000 × 0.35.

The tax will be ...

  (58.90/1000) × (0.35 × $880,000) = $18,141.20

Answer:

28.26 unit^2

Step-by-step explanation:

The circumference is given by

C = 2 * pi *r

18.84 = 2 * 3.14 * r

18.84 = 6.28 r

Divide each side by 6.28

18.84 /6.28= 6.28 r/6.28

3 = r

The area of a circle is given by

A = pi r^2

A =3.14 * 3^2

   = 28.26 unit^2

Answer:

Step-by-step explanation:

Solution,

Circumference of circle= 18.84 units

Finding the radius,

Circumference of circle= 18.84

or,

[tex]2\pi \: r = 18.84 [/tex]

or, 2 * 3.14 * r = 18.84

or, 6.28 r = 18.84

or, r= 18.84/6.28

r = 3 units

We have,

Radius= 3 units

Finding the area of circle:

[tex]\pi \: {r}^{2} [/tex]

plugging the value of radius(r)

= 3.14 * (3)^2

= 3.14 * 9

= 28.26 units^2

hope this helps...

Answer:

B. .32

Step-by-step explanation:

I think its B .32

Answer:

A

Step-by-step explanation:

Answer:

c = 12ft

Step-by-step explanation:

Given that the wall is 9ft from the ground.

Brace nailed to the wall is 15ft.

Note that the brace to the wall will be slant hence it will look like the hypotenus side of a triangle.

The question requires the solution to the distance from the base of the wall to the brace.

Note from Pythagoras theorem

a^2 = b^2+c^2

Where a = 15ft

b = 9ft

Hence, from the base of the wall, the brace will be nailed 9ft

c = ?

15^2 = 9^2+c^2

225 = 81+c^2

225-81 = c^2

144 = c^2

c =√144

c = 12ft

Answer:

Step-by-step explanation:

Hello,

14 = 7 * 2 * 1

42 = 7 * 3 * 2 * 1

It can be 14, 7, 2 or 1

So there are 4 different positive numbers which meet the criteria

Hope this helps

Answer

14 = 7 * 2 * 1

42 = 7 * 3 * 2 * 1

It can be 14, 7, 2 or 1

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

The value of digit 5 is thousand

Step-by-step explanation:

Digit 5 has thousand value in 75 389

Answer:

2.99

Step-by-step explanation:

Take the total cost and divide by the number of cards

71.76/24 = 2.99

The cost per car is 2.99

Answer:

b. $2.99.

Step-by-step explanation:

To get the price per car, you get the total price divided by the total number of cars.

That would be 71.26 / 24 = 2.969166667, which is most close to b. $2.99. Those are some cheap cars!

Hope this helps!

Answer:

(a) p

(b) the probability does not change at all

Step-by-step explanation:

(a) Let A and B be the jurors with probability 'p' of making the correct decision, and C be the juror that doesn't care. The case will be correctly decided if any of the following combinations of jurors decide the case correctly:

AB, AC, BC, ABC.

The probability of one of those outcomes occurring is:

[tex]P=(p*p*0.5)+(p*(1-p)*0.5)+(p*(1-p)*0.5)+(p*p*0.5)\\P=p^2+p-p^2\\P=p[/tex]

The probability is p.

(b) If two of the juros quit, the probability of correctly deciding the case lies on just one juror that correctly decides with probability 'p'. Therefore, the probability of deciding the case does not change at all

Answer:

The t-score that should be used to find the 90% confidence interval is 1.729.

Step-by-step explanation:

The (1 - α)% confidence interval population mean, when the population standard deviation is not known is:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}[/tex]

The information provided is:

n = 20

α = 0.10

The degrees of freedom of t-statistic will be:

df = n - 1

   = 20 - 1

   = 19

Compute the critical value of t as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.10/2, 19}=1.729[/tex]

*Use a t-table.

Thus, the t-score that should be used to find the 90% confidence interval is 1.729.

Answer:

0.505 = 50.7% probability of a negative test.

Step-by-step explanation:

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

In this question:

142 + 6 = 148 people tested positive. Of those, 142 had the disease and 6 did not.

7 + 145 = 152 people tested negative. Of those, 7 had the disease and 145 did not.

Find the probability of getting someone who tests negative, given that he or she did not have the disease.

This is the probability of a negative test.

152 negative tests out of 148 + 152 = 300

152/300 = 0.507

0.505 = 50.7% probability of a negative test.

Answer:

one thousand

Step-by-step explanation:

Answer:

x^2   +y^2 = 16    

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-0) ^2 + (y-0)^2 = 4^2

x^2   +y^2 = 16        

Answer:

The most appropriate way to state the conclusion is:

d. There is not enough evidence to say that men have a longer mean nose length than women.

Step-by-step explanation:

We have the result of a hypothesis test.

The claim was that men have a longer mean nose length than women.

That means that the alternative hypothesis states that men's mean nose length is higher than the women's mean nose length.

[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0[/tex]

The P-value of the test is 0.225, which for any usual significance level is large enough to fail to reject the null hypothesis. Then, there is no enough evidence to support the claim that men have a longer mean nose length than women.

a. Men have a longer mean nose length than women.

FALSE. There is no enough evidence to support the claim.

b. The probability is 0.225 that men and women have the same mean nose length.

FALSE. That is not the meaning of the P-value.

c. The mean nose lengths of the populations of men and women are identical.

FALSE. We can not claim that the null hypothesis is true, even when we havo no enough evidence to reject it.

d. There is not enough evidence to say that men have a longer mean nose length than women.

TRUE. This is the the most appropriate way to state the conclusion.

Answer:

The probability that you are able to guess ten or more correct answers is P(x≥10) = 0.0026

Step-by-step explanation:

This can be modeled by a binomial random variable, with sample size n=20 and probabillity of success p=0.2.

The probability of getting k answers right can be calculated as:

[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.2^k\cdot0.8^{20-k}[/tex]

Now, we have to calculate the probabiltiy that 10 or more answers are correctly answered guessing. This is P(x≥10).

[tex]P(x\geq10)=P(x=10)+P(x=11)+P(x=12)+P(x=13)+P(x\geq14)[/tex]

Note: the expression is simplified for x≥14 because we know the additional probability is less than 0.00005.

[tex]P(x=10)=\dbinom{20}{10}\cdot0.2^{10}\cdot0.8^{10}=184756\cdot0.0000001\cdot0.1074=0.0020\\\\\\P(x=11)=\dbinom{20}{11}\cdot0.2^{11}\cdot0.8^{9}=167960\cdot0.00000002\cdot0.1342=0.0005\\\\\\P(x=12)=\dbinom{20}{12}\cdot0.2^{12}\cdot0.8^{8}=125970\cdot0\cdot0.1678=0.0001\\\\\\P(x=13)=\dbinom{20}{13}\cdot0.2^{13}\cdot0.8^{7}=77520\cdot0.000000001\cdot0.2097=0.0000\\\\\\P(x\geq14)=0.0000[/tex]

[tex]P(x\geq10)=0.0020+0.0005+0.0001+0.0000+0.0000=0.0026[/tex]

The probability that you are able to guess ten or more correct answers is P(x≥10) = 0.0026

Answer:

  x -2y = -9

Step-by-step explanation:

We can start by swapping the coefficients of x and y, then negating one of them. We can finish by evaluating the expression at the given point to find the constant.

  2x -4y = constant

  2(1) -4(5) = -18 = constant

So, an equation could be ...

  2x -4y = -18

We notice that all of the coefficients of this equation are divisible by 2, so we can remove a factor of 2 from the equation:

  x -2y = -9

Answer:

$420

Step-by-step explanation:

This the problem of compound interest

If any amount P is invested at rate of r% per year then its value after n years is given by

amount = [tex]p( 1+ r/100)^n[/tex]

______________________________

Given

p = $190

r =8%

n = 10 year then

[tex]amount = p( 1+ r/100)^n\\=> amount = 190( 1+ 8/100)^10\\=> amount = 190( 108/100)^10\\=> amount = 410.20[/tex]

Thus, value of the investment at the end of 10 years is $420.

Answer: 342

Step-by-step explanation:

This is a SIMPLE INTEREST question:

SI = prt

SI = 190 x 0.08 x 10

SI = 152

Amount = 190 + 152 = 342

Answer:

Point of intersection (x, y, z) = (16, 16, 16)

1. a. Yes

2. a. Yes

Step-by-step explanation:

In order for the particles to colide (and therefore have their paths intersect), the values for the i, j, and k coordinates must be equal for a given 't':

For the i coordinate:

[tex]i_{r(t)} =i_{u(t)}\\t^2=3t+4\\t=\frac{3\pm\sqrt{9-4*1*(-4)} }{2}\\t=4\ or\ -1[/tex]

For the j coordinate:

[tex]j_{r(t)} =j_{u(t)}\\9t-20=t^2\\t=\frac{9\pm\sqrt{81-4*1*20} }{2}\\t=4\ or\ 5[/tex]

For the k coordinate:

[tex]k_{r(t)} =k_{u(t)}\\t^2=5t-4\\t=\frac{5\pm\sqrt{25-4*1*4} }{2}\\t=4\ or\ 1[/tex]

As we can see, for t =4, both paths have the same coordinates and therefore they intersect and the particles will colide.

[tex]r(4) = 4^2i + (9*4 - 20)j + 4^2k \\r(4)=16i+16j+16k\\u(4) = (3*4 + 4)i + 4^2j + (5*4 - 4)k\\u(4)=16i+16j+16k[/tex]

Point of intersection (x, y, z) = (16, 16, 16)

Answer:

1/9

Step-by-step explanation:

The probability of landing on a 5 is 1/6.

The probability of landing on a number greater than 2 is 4/6.

[tex]4/6 \times 1/6[/tex]

[tex]=4/36[/tex]

[tex]=1/9[/tex]

Answer:

solution,

[tex] {(u}^{4} \: )^{ - 7} \\ = {(u)}^{4 \times ( - 7)} \\ = {(u)}^{ - 28} \\ = \frac{1}{ {u}^{28} } [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Distances:

Heights:

Formula used = for distance , we use:

[tex] \frac{theta}{360} \times 2\pi \: r[/tex]

length of arc = 1 m

[tex] \frac{ \frac{\pi}{2} }{2\pi} \times 2\pi \times 1[/tex]

[tex]a \: = \: \frac{\pi}{2} [/tex]

B = [tex] \frac{\pi}{2\pi} \times 2\pi \times 1[/tex]

[tex] = \pi[/tex]

C = [tex] \frac{ \frac{3\pi}{2} \times 2\pi }{2\pi} [/tex]

[tex] = \frac{3\pi}{2} [/tex]

Heights:

If theta = π / 2 , d = 1

If theta = π , e = 0

If theta = 3π/2 , f = - 1

hope this helps..

Good luck on your assignment..

Answer:

I graphed the equation on the graph below.

Step-by-step explanation:

y − 4 = -3(x + 5)       Distribute

y - 4 = -3x - 15

 + 4           + 4         Add 4 to both sides

y = -3x - 11               This is the equation in slope-intercept form, which is easier to graph

A line is a one-dimensional shape that is straight. The equation y-4 = -3(x + 5) can be represented on a graph as shown below.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

If we solve the given equation, the equation will reduce in the form of an equation of a line, therefore, the equation can be written as,

y − 4 = -3(x + 5)

y - 4 = -3x - 15

y = -3x - 15 + 4

y = -3x - 11

Hence, the equation y-4 = -3(x + 5) can be represented on a graph as shown below.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ2

Answer:

I think so you meant to write 62 as 6^2

If this is the question , then the answer is 6 x 6

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

Answer:

B. 6 × 6

Step-by-step explanation:

6²

The square of a number means that the number is multiplied by itself.

6 × 6 (expanded form)

Answer:

[tex]a_{3} = 8[/tex]

Step-by-step explanation:

=> [tex]a_{n} = ar^{n-1[/tex]

Where n = 3, a = 8 and r = -1

=> [tex]a_{3} = (8)(-1)^{3-1}[/tex]

=> [tex]a_{3} = (8)(1)[/tex]

=> [tex]a_{3} = 8[/tex]

Answer:

Explained below.

Step-by-step explanation:

The question is:

Compare the distributions using either the means and standard deviations or the five-number summaries. Justify your choice.

Set A: {36, 51, 37, 42, 54, 39, 53, 42, 46, 38, 50, 47}

Set B: {22, 57, 46, 24, 31, 41, 64, 50, 28, 59, 65, 38}

The five-number summary is:

The five-number summary for set A is:

Variable   Minimum       Q₁         Median        Q₃         Maximum

  Set A       36.00       38.25        44.00       50.75        54.00

The five-number summary for set B is:

Variable   Minimum       Q₁         Median        Q₃         Maximum

 Set B         22.00      28.75        48.00       58.50         65.00

Compute the mean for both the data as follows:

[tex]Mean_{A}=\frac{1}{12}\times [36+51+37+...+47]=44.58\approx 44.6\\\\Mean_{B}=\frac{1}{12}\times [22+57+46+...+38]=44.58\approx 44.6[/tex]

Compare mean and median for the two data:

[tex]Mean_{A}>Median_{A}\\\\Mean_{B}>Median_{B}[/tex]

Compute the standard deviation for both the set as follows:

[tex]SD_{A}=\sqrt{\frac{1}{12-1}\times [(36-44.6)^{2}+...+(47-44.6)^{2}]}=6.44\approx 6.4\\\\SD_{B}=\sqrt{\frac{1}{12-1}\times [(22-44.6)^{2}+...+(38-44.6)^{2}]}=15.56\approx 15.6[/tex]

Answer:

The answer should be B.

The lower quartile is the one that is  45, the upper quartile is the one on 50, and the interquartile range is the difference between upper and lower quartile, which is 5.

Hope this helps!