How many square feet of wallpaper are required to cover the wall surrounding the window?

Answer:

a. The 98% confidence interval for the mean monthly rent for all studio apartments in this city is between $481.85 and $515.67

b. A sample size of 102 is needed.

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.327\frac{65}{\sqrt{80}} = 16.91[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 498.76 - 16.91 = $481.85

The upper end of the interval is the sample mean added to M. So it is 498.76 + 16.91 = $515.67

The 98% confidence interval for the mean monthly rent for all studio apartments in this city is between $481.85 and $515.67

Question b:

This is n for which M = 15. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]15 = 2.327\frac{65}{\sqrt{n}}[/tex]

[tex]15\sqrt{n} = 2.327*65[/tex]

[tex]\sqrt{n} = \frac{2.327*65}{15}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*65}{15})^2[/tex]

[tex]n = 101.68[/tex]

Rounding up:

A sample size of 102 is needed.

Answer

|-12|+|45|=|12|+|45|= 12+45=57

Step-by-step explanation:

When you take the absolute value of a negative number it is the same thing as taking as a positive number. The absolute value is just that number. Once you teach the absolute value of each number perform the operation given In the problem.

Answer:

4 days.

Step-by-step explanation:

Each bar has 2 halves.

That means that in total, Luna has 4 halves, or, 4/2 parts.

If she uses half of a bar each day, then she will last 4 days.

Answer:

the answer isnt right just trying to see if anyone else knows it

Step-by-step explanation:

Answer:

588000

Step-by-step explanation:

if i am wrong pls tell me cause i think there's a different answer gl g

Answer:

$103,421.88

Step-by-step explanation:

Given:

P = 70000

r = 0.05

n = 1

t = 8

Work:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=70000(1+\frac{0.05}{1} )^{1*8}\\\\A=70000(1.05)^8\\\\A=103421.88[/tex]

Option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.

A rational expression is the ratio of two polynomials. It looks like fractions that have variables in their denominators. A rational expression is considered simplified if there are no common factors in its numerator and denominator.

For the given situation,

The rational expression is

7x²/(2x + 6) ÷ (3х - 5)/(x +3)

⇒ [tex]\frac{\frac{7x^{2} }{2x+6} }{\frac{3x-5}{x+3} }[/tex]

In conversion of division to multiplication, we need to change the division sign to multiplication sign and reciprocal the rational expression for simplification.

⇒ [tex](\frac{7x^{2} }{2x+6} )(\frac{x+3}{3x-5} )[/tex]

⇒ [tex](\frac{7x^{2} }{2(x+3)} )(\frac{x+3}{3x-5} )[/tex]

⇒ [tex](\frac{7x^{2} }{2(1)} )(\frac{1}{3x-5} )[/tex]

⇒ [tex]\frac{7x^{2} }{6x-10}[/tex]

Hence we can conclude that option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.

Learn more about rational expression here

https://brainly.com/question/17134322

#SPJ2

Answer:

Supplementary angles - d ... 4. The complement of an angle of t° is an angle of_70-7_º mais. 5. If 4 1 and 22 are ... Linear Pair Postulate - If two angles form a linear pair, then they are supplementary. 1. 2 ... LA and Z B are complementary.

Step-by-step explanation:

The value of x is 13, then the measure of angle ∠B will be 121 degrees. Then the correct option is D.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

The angle ∠A and ∠B form a linear pair.

If ∠A = (6x – 19) and ∠B = (11x – 22).

Then we have

                  ∠A + ∠B = 180°

(6x – 19) + (11x – 22) = 180

                    17x – 41 = 180

                            17x = 221

                               x = 13

The value of x is 13, then the measure of angle ∠B will be

∠B = (11 × 13 – 22)

∠B = 143 – 22

∠B = 121

More about the angled link is given below.

https://brainly.com/question/15767203

Answer:

x=1

Step-by-step explanation:

You can find the axis of symmetry from the equation of a function by using the formula x= -b / 2a          ( ax^2 + bx + c).

In this particular function, you can see that b is 1 and c is -3.

x= -b / 2a

x= - (-2) / 2(1)

x= 2 / 1

x= 1

Answer:

8.76

Step-by-step explanation:

$26.28 ÷3=8.76

since 26.38 is the total amount of all the 3 pizzas then we would have to divide 26.28 by the amoun of pizzas that was bought, which is 3, and you will get your answer

Answer:

Step-by-step explanation:

1. 1 or 2 so 2 options

2 out of 6 is 33%

2. 3 or 4 or 5 or 6 so 4 options

4 out of 6 is 66%

Answer:

https://youtu.be/cqF6M25kqq4

Step-by-step explanation:

Answer:

angle number 1

Step-by-step explanation:

An angle that is vertical to <UXR is an angle that is directly opposite to <UXR, which share the same vertex, X, as <UXR.

From the diagram given, the angle number that shares the same vertex as <UXR and is directly opposite to <UXR is angle number 1 (<SXT).

<1 = <UXR

Answer:

A. This is a two tailed test.

B. H0: μ= 73.5

C. P-value= 0.196

D. The P-Value is 0.460172 for one tailed test .

Step-by-step explanation:

The given data is

Variable   N    Mean        StDev     SE Mean         95%               01 Z      P

X         145      73.2461     2.3634    0.1963 (72.8614, 73.6308) -1.29 0.196

A. Is this a one-tailed or two tailed test?

This is a two tailed test because H0: μ= 73.5 against Ha: μ ≠ 73.5

B. What is the null hypothesis?

H0: μ= 73.5

C. What is the P-value?

P-value= 0.196

D. Use the output to compute the P-value for the test of H0 : μ ≥ 73.6 versus H1 : μ < 73.6.

For z= -1.29  the P-Value is 0.460172 for one tailed test .

The result is not significant at p < 0.05.

Answer:

[tex]X=17.9m[/tex]

Step-by-step explanation:

Length of arc [tex]L_a=24m[/tex]

Height of arc [tex]H_a=8m[/tex]

Tet the length on the ground be

[tex]2a=24\\ a=12m[/tex]

Generally the Pythagoras equation is mathematically given by

[tex]a^2=b^2+c^2[/tex]

[tex]c^2=a^2+b^2[/tex]

[tex]c^2=12^2+8^2[/tex]

[tex]c^2=144^2+64^2[/tex]

[tex]c=8.9[/tex]

Therefore the distance between he person throwing the ball and the point on the ground at which the ball first strikes X

[tex]X=2c\\X=2*8.9[/tex]

[tex]X=17.9m[/tex]

Answer:

231.5in squared

Step-by-step explanation:

Both faces area formula

Rectangle: l x w

triangle: b x h / 2

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

= (30 × 6) - (4 + 15) / 2

= (180 - 19) / 2

= 161 / 2

= 80.5

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Answer: a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).

Step-by-step explanation:

Let p be the population proportion of all customers who have experienced a service interruption.

Confidence interval for p:[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex] = sample proportion, n= sample size, z* = critical z-value.

Given: n = 540

[tex]\hat{p}=\dfrac{55}{540}=0.102[/tex]

z* = 1.96

The required confidence interval:

[tex]0.102\pm (1.96)\sqrt{\dfrac{0.102(1-0.102)}{540}}\\\\=0.102\pm (1.96)(0.013024)\\\\=0.102\pm$$0.02552704\\\\=(0.102-$$0.02552704, 0.102+0.02552704)\\\\\approx(0.076, 0.127)[/tex]

Hence, a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).

Answer:

Im not so sure but i think its the 3rd option 168cm^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: x^2 +6x-27

Step-by-step explanation:multiply x and x. Multiply 9 and -3. multiply x and 9, then multiply x and -3. Add 9x+-3x= 6x

x^2 +6x -27

Answer:

21

Step-by-step explanation:

9514 1404 393

Answer:

  $341.75

Step-by-step explanation:

You have not provided the formula, so we'll use one we like:

  A = P(r/12)/(1 -(1 +r/12)^(-n)) . . . . principal P, annual rate r, n months

  A = $18,000(0.0525/12)/(1 -(1 +0.0525/12)^-60) ≈ $341.75

The monthly payment is about $341.75.

Answer:

1) y = -3x + 6  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].  

Since [tex]m[/tex] represents the slope, substitute -3 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of the point the line intersects, substitute the x and y values of (4,-6) into the formula as well. This gives the following equation:

[tex]y+6 = -3(x-4)[/tex]

2) Now, isolate the y in the equation to put it in slope-intercept form and find the answer.

[tex]y + 6 = -3(x-4)\\y + 6 = -3x+12\\y = -3x+6[/tex]

So, the first option is correct.

Answer:

ye

Step-by-step explanation:

Answer:

313.6

Step-by-step explanation:

24 1/2 * 12 4/5 = 1568/5 = 313 3/5

= 313.6

Hope I helped (p.s. maybe brainliest?)

Answer:

24 1/2 ÷ 12 4/5 = 1 117/128

Step-by-step explanation:

:))

Answer:

134.04

Step-by-step explanation:

Given:

[tex](2x^3+4x^2-35x+15)\div (x-3)[/tex]

To find:

The quotient by using the synthetic division.

Solution:

We have,

[tex](2x^3+4x^2-35x+15)\div (x-3)[/tex]

Here,

Dividend = [tex](2x^3+4x^2-35x+15)[/tex]

Divisor = [tex]x-3[/tex]

The coefficient of dividend are [tex]2, 4, -35, 15[/tex]. Write the coefficients of the dividend on the top row and we need to use 3 as divisor for synthetic division. The synthetic division is show below:

[tex]3 | 2\quad \quad 4\quad \quad -35\quad \quad 15\\\quad{}\quad{} \quad \quad \ 6\quad \quad \ \ \ 30\quad -15\\\overline{\quad 2\quad \quad 10\quad \quad -5\quad \quad 0\ \ \ }[/tex]

The bottom row represents the coefficients of quotient but the last element of bottom row is the remainder.

Degree of dividend is 3 and degree of division is 1. So, the degree of quotient must be [tex]3-1=2[/tex].

The quotient is [tex]2x^2+10x-5[/tex] and the reminder is 0.

Therefore, the correct option is D.

Answer: divisor: x+4, dividend: 2x^3+11x^2+18x+9, quotient: 2x^2+5x+3

Step-by-step explanation:

The correct answer is Arcadia

Let me explain why...

The median is the number that's in-between the other 2 numbers so for Millersburg the median around 200ish but the median for Arcadia is is exactly 240.This means that Arcadia is your answer

Hope you have an amazing day <3

-Yo MaMa

Answer:

113

Step-by-step explanation:

First we need to find theother 2 angles of the triangle.

We are given that the top angle is 60°

We know that the angles of a triangle add up to 180°

To find the bottom left angle of the triangle...

We can see that it is alternate exterior angles so they will equal.

To find the third angle of the triangle...

180 - 60 (given angle) -53 (alternate exterior angle) = 67°

Now we know that the bottom right angle inside the triangle is 67°.

To find x...

subtract 67 from 180 because the like is a combination of x and the 67° angle we just found. (a straight line angle = 180°)

180 - 67 = 113