(1\6-1)(3-2/5)-(1/3-1/2)

Answer:

DE = 29.57

Step-by-step explanation:

Given:

AX = 15 cm,

CX = 12 cm,

EX = 21 cm.

Required:

Find DE

Solution:

AX and CX are segments of chord AC

DX and EX are segments of chord DE

Therefore,

DE = DX + EX

DE = DX + 21

We are not given the value of DX, so we need to find DX

Based on the intersecting chords theorem:

AX*CX = DX*EX

Plug in the values

15*12 = DX*21

180 = DX*21

Divide both sides by 21

180/21 = DX

8.57142857 = DX

DX ≈ 8.57

✅DE = DX + 21 = 8.57 + 21 = 29.57

Answer: 240 degrees

Step-by-step explanation: minute hand makes 360 degree circle in hour.

There is no influence for the length of hand in this case.

40 minutes is 2/3 hours. 2/3 ·360 degrees

Answer:

The range of the data value is 695.

Step-by-step explanation:

Please mark me brainlliest!

Answer:

695

Step-by-step explanation:

Range is the difference between the largest and smallest value.

1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455

1890 - 1195

695

Answer:

everyone

Step-by-step explanation:

Answer:

[tex]512\ \text{in}^2[/tex]

Step-by-step explanation:

x = Length and width of base

y = Height of box

Volume of the box is [tex]16384\ \text{in}^3[/tex]

[tex]x^2y=16384\\\Rightarrow y=\dfrac{16384}{x^2}[/tex]

Surface area is given by

[tex]s=x^2+4y\\\Rightarrow s=x^2+4\times \dfrac{16384}{x^2}\\\Rightarrow s=x^2+\dfrac{65536}{x^2}[/tex]

Differentiating with respect to x we get

[tex]s'=2x-\dfrac{131072}{x^3}[/tex]

Equating with 0 we get

[tex]0=2x^4-131072\\\Rightarrow x=(\dfrac{131072}{2})^{\dfrac{1}{4}}\\\Rightarrow x=16[/tex]

[tex]s''=2+\dfrac{393216}{x^4}[/tex]

at [tex]x=16[/tex]

[tex]s''=2+\dfrac{393216}{16^4}=8>0[/tex]

So the function is minimum at x = 16

[tex]y=\dfrac{16384}{x^2}=\dfrac{16384}{16^2}\\\Rightarrow y=64[/tex]

The material required is

[tex]s=x^2+4y=16^2+4\times 64\\\Rightarrow s=512\ \text{in}^2[/tex]

The minimum amount of material required is [tex]512\ \text{in}^2[/tex].

Answer:

The minimum sample size required for the estimate is 345.

Step-by-step explanation:

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 - 0.95}{2} = 0.025[/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 - 0.025 = 0.975[/tex], so Z = 1.96.

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.

The standard deviation is known to be 1.8.

This means that [tex]\sigma = 1.8[/tex]

What is the minimum sample size required for the estimate?

This is n for which M = 0.19. So

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

[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]

[tex]0.19\sqrt{n} = 1.96*1.8[/tex]

[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]

[tex]n = 344.8[/tex]

Rounding up to the next integer:

The minimum sample size required for the estimate is 345.

Answer:

[tex]3\frac{7}{8}[/tex]

Step-by-step explanation:

Equation: 4 1/7 + 2 1/8 + x= 10 1/7

Convert into improper fractions:

29/7 + 17/8= 71/7

Add fractions

351/56+x= 71/7

Subtract on both sides

X= 31/8 or 3 7/8

Answer: 22.9

Step-by-step explanation: Perimeter of a triangle is the sum of all side lengths, in this case, 4, 5, and 13.9, and the sum is 22.9. Hope this helps, and have a great day!

Answer:

22.9 i think

Step-by-step explanation:

Answer:

29.33

I thinks that right... lol :D

Forgive me if it wrong :(

Step-by-step explanation:

That is equivalent to 308 square yards.  You can verify it on this website https://www.inchcalculator.com/square-yards-calculator/.

Answer:

QUESTION:

Simplify: 90 - 5 (19 + 17-1-26)​

ANSWER:

45

Step-by-step explanation:

I hope that this helps you out! :)    

Have a great rest of your day/night!    

Please thank me on my profile if this answer has helped you out.

Answer:

1.016 of a mile.

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

answer is -2

Step-by-step explanation:

5+3=8

8-10= -2

Answer:

Area: 272ft²

Volume = 82.6236447189ft³

Step-by-step explanation:

AREA

The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:

Area of base = area of square = L² = 8² = 16ft²

Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²

There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²

VOLUME

The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.

We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:

A²=B²+C²

16²=(8/2)²+h²

256=16+h²

h=√240

h=15.4919333848ft

Knowing h, we can find the volume:

Volume = (a²)(h/3)

Volume = (8²)(15.4919333848/3)

Volume = (16)(5.16397779493)

Volume = 82.6236447189ft³

Answer:

75/6 = 12.5

Step-by-step explanation:

Mean = The sum divided by the number of numbers.

It's def not c or d, I think it's a.

Answer:

what is the circle

○ YW 42

Answer:

45 more apples

Step-by-step explanation:

Well the total is 475

215 is already gone and the remaining goes to the store

475-215= 260

Groccery gets 260

Farmer gets 215

So to find how much more yuou jsut subtract the 2

260-215 which is 45

Answer:

p = 43 :)

Your welcome DaBaby

A: I think it’s 9(−5+9n+10n2)

Step-by-step explanation:

Answer: 72 feet

Step-by-step explanation:

24 yards= 72 feet

Answer:

Steps:

Answer:

For samples of size n=200, the standard error is of 0.033.

For samples of size n=300, the standard error is of 0.027.

For samples of size n=400, the standard error is of 0.024.

Step-by-step explanation:

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]

The percentage of married couples who own a single family home is 33% for a given population.

This means that [tex]p = 0.33[/tex]

Samples of 200:

[tex]s = \sqrt{\frac{0.33*0.67}{200}} = 0.033[/tex]

For samples of size n=200, the standard error is of 0.033.

Samples of 300:

[tex]s = \sqrt{\frac{0.33*0.67}{300}} = 0.027[/tex]

For samples of size n=300, the standard error is of 0.027.

Samples of 400:

[tex]s = \sqrt{\frac{0.33*0.67}{400}} = 0.024[/tex]

For samples of size n=400, the standard error is of 0.024.

Answer:

false

Step-by-step explanation:

because if one of the right side goes to two or more of the left its not a function

Answer:

162

Step-by-step explanation:

Answer:

the formula to find the amount for number 7 is

A=p(1+r/n) raised to power n ,e.g

A=4000(1+4/1)raised to power 1

A=4000(1+4) raised to power 1

A=4000(5)

A=20,000.

to find interest

I=PRT/100

I=4000×4×1/100

I=#160

Answer:

A) The parameter of interest is the average filling weight of all cereal packages. ;

Point estimate = 1.22

Margin of Error = 0.0196

Confidence interval = (1.2004, 1.2396)

C) No, since the confidence interval contains the target filling weight of 1.20.

Step-by-step explanation:

A) The parameter of interest is the average filling weight of all cereal packages.

The point estimate = sample mean = 1.22

The margin of error with 95% confidence :

Zcritical * σ/sqrt(n)

Zcritical at 95% confidence = 1.96

Margin of Error = 1.96 * 0.06/sqrt(36)

Margin of Error : 1.96 * 0.01

Margin of Error = 0.0196

Confidence interval :

xbar ± margin of error

1.22 ± 0.0196

Lower boundary = 1.22 - 0.0196 = 1.2004

Upper boundary = 1.22 + 0.0196 = 1.2396

(1.2004, 1.2396)

C) No, since the confidence interval contains the target filling weight of 1.20.

Since, the internal contains 1.20, then we can conclude that it is filling properly.