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Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

Add all paper clip sizes together:

[tex]100 + 250 + 150 = 500[/tex]

They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.

[tex]100 + 250 = 350[/tex]

Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.

Can divide 350 and 500 by 50, which simplifies it down to 7/10.

[tex]\frac{350}{500} = \frac{7}{10}[/tex]

The probability that the paper clip selected is either small or medium is 7/10.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)

= 100/500 + 250 / 500 = 350 / 500 = 7/10

To learn more about probability, please check: https://brainly.com/question/13234031

Answer:

10,635.934 m^2

Step-by-step explanation:

The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)

According to the word problem, 58.2 is the radius.

Now that we know the radius, we have our final equation:

pi ⋅ radius ⋅ radius

(3.14 IS USED FOR PI)

3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336

10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934

Therefore, the area of this circle in square meters is 10,635.934 m^2.

Answer:

73.3

Step-by-step explanation:

cos(39)= 57/x

x= 57/cos(39)

x=73.3

Answer:

28

Step-by-step explanation:

28-10 Your welcome Have a good day

Answer:

True

Step-by-step explanation:

The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things.

Answer: A .10

Step to step equation :

Answer:

put one line straight across to make a square and isosceles trapezoid and then put a line to make a triangle on top of the square diagonally to make a triangle and a quadrilateral then put put a line diagonally in the square to make two triangles.  

Step-by-step explanation:

done.

Answer:

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.

This means that [tex]n = 1067, \pi = \frac{74}{1067} = 0.069[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079[/tex]

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

Answer:

m(arc AC) = 72°

m(arc BD) = 108°

m∠DEB = 90°

Step-by-step explanation:

Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8

Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°

By the property of ratio,

Measure of arc AC = [tex]\frac{4}{4+2+6+8}\times (360^0)[/tex]

                               = [tex]\frac{4\times 360}{20}[/tex]

                               = 72°

Measure of arc BD = [tex]\frac{6}{4+2+6+8}\times (360^0)[/tex]

                               = [tex]\frac{6\times 360}{20}[/tex]

                               = 108°

Measure of ∠DEB = [tex]\frac{1}{2}m(arcAC + arc BD)[/tex]

                              = [tex]\frac{1}{2}(72+108)[/tex]

                              = 90°

Answer:

6

Step-by-step explanation:

There are 48 oz in 3 pounds, or 16 oz in a pound. Now divide the oz by the equal sizes

48/8=6

Answer:

Downloading 28 songs will cost $26.64.

Step-by-step explanation:

Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:

(20 x 0.74) + (8 x 1.48) = X

14.8 + 11.84 = X

26.64 = X

Therefore, downloading 28 songs will cost $ 26.64.

Answer:

The statement is trrue.

Step-by-step explanation:

Given that,

The surface area of a rectangular prism = 2,280 square feet

Width, b =20 feet

Height, h = 15 feet

The formula for the surface area of a rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Where

l is the length of the prism

Substitute all the values,

[tex]A=2(lb+bh+hl)\\\\2,280=2(20l+20\times 15+15l)\\\\1140=(20l+20\times 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet[/tex]

So, the length of the prism is equal to 24 feet.

Answer:

B) f = (6 x 8) + 4

Step-by-step explanation:

Remember this: 1 cup = 8 fl oz

They're asking for the total number of fluid ounces of detergent, and we're given 6 cups and 4 fl oz.

Set up a proportion to find the total number of fl oz from the 6 cups, let variable x be the total oz of the 6 cups:

[tex]\frac{1 cup}{8 oz} = \frac{6 cups}{x oz}[/tex]

The answer should be 48 fl oz, then you add the 4 fl oz to have the total of 52 fl oz.

SORRY just wanted a full break down of the problem solved. I made it too complex than it's supposed to be. Hope my answer helps a bit. :)

Answer:

4 boxes

Step-by-step explanation:

20/5 is 4 therefore 4 boxes with 5 in each

Answer:

20/5 = 4

Step-by-step explanation:

She needs 4 boxes

Answer:

The volume of the composite figure is approximately 434.041 cubic centimeters.

Step-by-step explanation:

The volume of the composite figure ([tex]V[/tex]), in cubic centimeters, is the sum of the volumes of the cuboid ([tex]V_{c}[/tex]), in cubic centimeters, and hemisphere ([tex]V_{h}[/tex]), in cubic centimeters, that is:

[tex]V = V_{c} + V_{h}[/tex] (1)

[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex] (2)

Where:

[tex]w[/tex] - Width, in centimeters.

[tex]h[/tex] - Height, in centimeters.

[tex]l[/tex] - Length, in centimeters.

[tex]R[/tex] - Radius, in centimeters.

If we know that [tex]w = 10\,cm[/tex], [tex]h = 6\,cm[/tex], [tex]l = 5\,cm[/tex] and [tex]R = 4\,cm[/tex], then the volume of the composite figure is:

[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex]

[tex]V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}[/tex]

[tex]V \approx 434.041\,cm^{3}[/tex]

The volume of the composite figure is approximately 434.041 cubic centimeters.

Answer:

A. 60.5 [tex]in^{3}[/tex]

Step-by-step explanation:

A = 1/3(area of base)(h)

= 1/3(22)(8.25)

= 60.5 [tex]in^{3}[/tex]

Answer:

a is approximately 16.25, using the pythagorean theorem.

Step-by-step explanation:

a^2+ b ^2 = c^2

Answer:

wwach leg is 15 inches

Step-by-step explanation:

I hopes this helps

Answer: C

Step-by-step explanation:

Answer:

8.5 pi

Step-by-step explanation:

C= 2 pi r

21 pi= 2pi r

r= 10.5

Arc length= 2pi r(145/360)

21 pi( 145/360)= 8.5 pi

Answer:

Number of year = 11.725 year (Approx.)

Step-by-step explanation:

Given:

Amount invested = $200

Interest rate = 6% (compounded semi annually)

Future value = 2 x Amount invested

Find:

Number of year

Commutation:

Future value = 2 x Amount invested

Future value = 2 x 200

Future value = $400

Number of year (Semi-annual) = 2n

Interest rate (Semi-annual) = 6% / 2 = 3%

So.

A = P[1+r]ⁿ

400 = 200[1+3%]²ⁿ

2 = [1.03]²ⁿ

n = 11.725 year

Number of year = 11.725 year (Approx.)

Answer:

Answer:

hope this help you. look it once.

Answer:

C) Increase the amplitude to 2xo and stand 2 meters from the source.

Step-by-step explanation:

Correct on Edge

Answer:

-15

Step-by-step explanation:

yan po ang answer thank you na lang po

Answer:

729

Step-by-step explanation:

We have the equation [tex](3^2)^3[/tex] and are asked to simplify it.

When you have a number with an exponent inside the parenthesis, and then another exponent right out of the parenthesis, you follow the rule where you multiply both exponents together.

Therefore,

[tex](3^2)^3=3^{2*3} =3^6[/tex]

[tex]3^6 = 729[/tex]

Answer:

e = 4

Step-by-step explanation:

3 ( e - 3 ) - 7 ( 2e - 8 ) - ( e - 1 ) = 0

The first step to solving such an equation is to distribute. Multiply the term outside of the parentheis by every term inside of the parenthesis,

3e - 9 - 14e + 56 - e + 1 = 0

Simplify, combine like terms,

3e - 9 - 14e + 56 - e + 1 = 0

3e - 14e - e - 9 + 56 + 1 = 0

-12e + 48 = 0

Inverse operations,

-12e + 48 = 0

+12e          +12e

48 = 12e

/12    /12

4 = e