Find the indicated limit, if it exists.

See file below.

Answer:

perimeter = 71.4 m

Step-by-step explanation:

using the Pythagorean theorem:

CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25

CD = √342.25 = 18.5

perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m

Answer:

N=10

3n+6=36

3n-2=28

Step-by-step explanation:see photo

Answer:

1.66666666666666666667

Step-by-step explanation:

if rounded by the nearest tenth it is 1.7

Hope this helps :)

Answer:

10/6 = 1 and 2/3

Step-by-step explanation:

10 pounds of candy, 6 bags.

that means 10 divided by 6, or 10/6

simplify that 10-6 = 4, 6 can only be subtracted once, so it is 1 and 4/6 or 2/3

2/3 is 0.666666... so add it together and you get 1.66666... or 1 and 2/3

Answer:

2/4 which simplifies to 1/2

which angle you flip it and how much force you use

Answer:

a=4bc

a=4(4)(-3)=-48

a= - 48 when b equals to 3 is equals to - 8

The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."

To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:

a/bc = k

where k is the constant of variation.

Substituting the given values:

a/(4)(-3) = k

Simplifying, we have:

a/-12 = k

Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:

a/(-12) = k

a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)

a = 96

Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

Learn more about direct variation here:

https://brainly.com/question/29150507

#SPJ2

Answer:

8 boxes

Step-by-step explanation:

Surface area of the rectangular prism:

A=2(wl+hl+hw)

A = 2(5·4+7·4+7·5) = 166

The 166 represents the square ft of one box.

Take the total number of wallpaper she has, 1328 ft^2, and divide by 166 to find the number of boxes that she can cover.

[tex]\frac{1328}{166} = 8[/tex]

Hope that helps!

Answer:

Step-by-step explanation:

Firstly lets calculate the total surface area of the cuboid

Total surface area of cuboid (A1)

= 2( l*b+ b*h +l*h)

= 2( 7 * 5+ 5 * 4 + 7 * 4)

= 166 ft²

also given that

Total area of the wallpaper ( A2)= 1328 ft²

Now

Number of boxes that she can cover is

= A2 / A1

= 1328 / 166

= 8 BOXES.

hope it will help :)

Answer:

A

Step-by-step explanation:

Answer:

B. Z= -2.55

Step-by-step explanation:

To solve this question, first we need to understand the central limit theroem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

11 of 50 men believe that sexual discrimination is a problem:

This means that:

[tex]p_M = \frac{11}{50} = 0.22, s_M = \sqrt{\frac{0.22*0.78}{50}} = 0.0586[/tex]

19 of 40 women believe that sexual discrimination is a problem:

This means what:

[tex]p_W = \frac{19}{40} = 0.475,  s_W = \sqrt{\frac{0.475*0.525}{40}} = 0.079[/tex]

Difference between the proportion of men and women:

[tex]p_D = p_M - p_W = 0.22 - 0.475 = -0.255[/tex]

[tex]s_D = \sqrt{s_M^2+s_W^2} = \sqrt{0.0586^2+0.079^2} = 0.0984[/tex]

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination.

This means that the null hypothesis is that they do not differ, than is, the difference is 0. So

[tex]H_0: p_D = 0[/tex]

At the alternate hypothesis, we test that they differ, that is, the difference is different of 0. So

[tex]H_a: p_D \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

For the sample, we calculated that:

[tex]X = -0.255, s = 0.0984[/tex]

The value of the test-statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.255 - 0}{0.0984}[/tex]

[tex]z = -2.59[/tex]

Closes answer is Z = -2.55, option B.

Answer:n

Step-by-step explanationaa:

Answer:

The 90% confidence interval for the mean amount spent on the children's birthday gift is between $45.77 and $48.23.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7396

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7396\frac{3}{\sqrt{18}} = 1.23[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 47 - 1.23 = $45.77

The upper end of the interval is the sample mean added to M. So it is 47 + 1.23 = $48.23

The 90% confidence interval for the mean amount spent on the children's birthday gift is between $45.77 and $48.23.

Answer:

[tex](b)\ 2x - 9 = -1[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Step-by-step explanation:

Required

Which equals [tex]x = 4[/tex]

[tex](a)\ 2x + 6 = 2[/tex]

Collect like terms

[tex]2x = 2 - 6[/tex]

[tex]2x = -4[/tex]

Divide both sides by 2

[tex]x = -2[/tex]

[tex](b)\ 2x - 9 = -1[/tex]

Collect like terms

[tex]2x = -1 + 9[/tex]

[tex]2x = 8[/tex]

Divide both sides by 2

[tex]x = 4[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

Collect like terms

[tex]-2x =- 12 + 4[/tex]

[tex]-2x =-8[/tex]

Divide both sides by -2

[tex]x = 4[/tex]

[tex](d)\ 2(x + 2) = 10[/tex]

Divide both sides by 2

[tex]x + 2 =5[/tex]

Collect like terms

[tex]x = 5-2[/tex]

[tex]x = 3[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Divide both sides by 2

[tex]x - 10 = -6[/tex]

Collect like terms

[tex]x = 10 - 6[/tex]

[tex]x = 4[/tex]

Hence, the equations with the required solution are:

[tex](b)\ 2x - 9 = -1[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Answer:

17

Step-by-step explanation:

ifhrFj,iyjgztizzkyraykeLyrgodyyixynj

Answer:

YES

Step-by-step explanation:

(3/8)·64 = 24 seats in the first class carriage are being used.

(7/13)·(78)·3 = 126 seats in the standard carriages are being used, for a total of ...

 24 + 126 = 150 . . . occupied seats

The number of available seats is ...

 64 +3·78 = 298

so half the seats on the train will be 298/2 = 149 seats.

 150 > 149, so more than half the seats on the train are being used.

Answer: $1.85

Step-by-step explanation: 21.55+2.25+3.89+1.95=29.64

29.64*(.0625)=1.8525

$1.85

29.64*(1.0625)=31.4925

$31.49

$31.49-$1.85=$29.64

Answer:

its 5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The solution for system of two equations is simply the intersection of the two functions. Hence (b) is the answer

Answer:

1

Step-by-step explanation:

Remember that the equation to graph a linear graph or line is y=mx+b

m is your slope and b is your y intercept. Since your line hits the y-axis at y=1, b=1.

Answer:

angle=63°

I hope it's helps you

I'm positive its B.3

Step-by-step explanation:

Answer:

B. 3

Step-by-step explanation:

[tex]interquatile \: range = (Q _{3} - Q _{1}) \\ = ( ( \frac{3}{4} \times 6) - ( \frac{1}{4} \times 6)) \\ = (4.5 - 1.5) \\ = 3[/tex]

Answer:

B

Step-by-step explanation:

trust meh

Answer:

AB = √17     4.1

GH = 4√2    5.7

Step-by-step explanation:

AB = 1²+4²=c²

1+16=c²

17=c²

√17=c

c=4.1

GH = 4²+4²=c²

16+16=c²

32=c²

√32=c

4√2=c

C=5.7

Answer:

please stop spamming on people's questions bc ik you wouldnt appreciate it.

Step-by-step explanation:

Answer: -3 to the fourth power means we are multiplying -3 four times. Hence answer is 81 and not -81

Step-by-step explanation:

Answer:

[tex]6 in^{2}[/tex]

Step-by-step explanation:

Ratio d area= ( Ratio d side length)²

[tex]\frac{a}{24}=(\frac{3}{6})^{2}[/tex]

[tex]a=\frac{24*9}{36} =6[/tex]

So your answer is 6 you are correct!!

[tex]----------------[/tex]

hope it helps...

have a great day!!

Answer:

This question seems incomplete

Answer:

1230 is how much he received for the bike

Step-by-step explanation:

Answer: Acute triangle has an acute angle and obtuse triangle equals an obtuse angle.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

(0,1.5)

Step-by-step explanation:

(x,y)