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Answer:

119 cm

Step-by-step explanation:

20 - 3 = 17

(140/20)(17) = 119 cm

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).

Thus, we can set up the following proportion:

[tex]\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}[/tex]

Answer:

I think it is 1/4x not sure but try it

Answer:

The missing marks are 3, 3, and 5.

Step-by-step explanation:

Since the mode is 3, that means it's the number that occurs most often. The numbers 1 and 2 occur twice so there must be at least 3 3's on the list. But since the mean is 2.9, the third mark cannot be a 3 because it will make the mean only 2.7 so the 3rd mark can be either a 4 or a 5. Using 5 will make the mean 2.9. I take it that you know how to make a bar graph for this problem.

We have four copies of '2' and one copy of '5' multiplied together

This is the same as saying 2^4*5

=========================================

Explanation:

Divide 80 over the smallest prime factor, which is 2

80/2 = 40

Divide that result over 2

40/2 = 20

Keep going until you cannot divide by 2 anymore

20/2 = 10

10/2 = 5

We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.

Therefore: 2*2*2*2*5 = 80

In shorthand, this condenses to 2^4*5 = 80

The factor tree is shown below. Other factor trees are possible.

Answer:

C

Step-by-step explanation:

Just use elimination strategy

Answer:

7. 123

8. 38

9. 68

10. 65

11. 113

12. 52

Step-by-step explanation:

Answer:

7) 123°

8) 38°

9) 68°

10) 65°

11) 113°

12) 52°

Answer:

720°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

The shape above is a trapezium, so we are going to use the formula for the area of a trapezium which is,

[tex]area = (\frac{a + b}{2} )h[/tex]

Plugging in our values,

[tex]area = ( \frac{2 + 8}{2} ) \times 3 = ( \frac{10}{2} ) \times 3 = 5 \times 3 = 15 {cm}^{2} [/tex]

So the area will be

[tex]15 {cm}^{2} [/tex]

Answer:

the required number of telephone orders to complete the 400 interviews is 3433

Step-by-step explanation:

Given the data in the question;

Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.

Thus, The working phone numbers = 70% × Y

Now, number of ATM users = 45% × The working ph0ne numbers

⇒ 45% × ( 70% × Y )

number of ATM users = 0.45 × 0.70 × Y = 0.315Y

Thus; Number of people contacted that agrees to complete the survey will be;

⇒ 37% × number of ATM users

⇒ 0.37 × 0.315Y = 0.11655Y

so, since the researcher needs at least 400 interviews

Hence;

0.11655Y ≥ 400

Y ≥ 400 / 0.11655

Y ≥ 3432.0034 ≈ 3433

Therefore, the required number of telephone orders to complete the 400 interviews is 3433

Answer:

$34,500

Step-by-step explanation:

1% of 550,000 = 5,500

33,000÷ 5,500 = 6%

1% of 575,000 = 5,750

5,750 x 6 = 34,500

Answer:

[tex]\frac{115\pi }{6} \\or\\19.16666667\pi[/tex]

Step-by-step explanation:

Arc length is [tex]2\pi r*\frac{o}{360}[/tex]

r is 46 theta is 75

[tex]2(46)\pi *\frac{75}{360} \\92\pi *\frac{75}{360} \\\frac{6900\pi }{360} \\\frac{115\pi }{6} or 19.166666667\pi[/tex]

Answer:

C. 12.04 inches

Step-by-step explanation:

Diagonal of a prism cam be solved using the extension of Pythagorean theorem which is given as:

d² = x² + y² + z²

x = 10 in.

y = 6 in.

z = 3 in.

d² = 10² + 6² + 3²

d² = 100 + 36 + 9

d² = 145

d = √145

d = 12.0415946

d = 12.04 inches (nearest hundredth)

Answer:

Adri sent her a comm telling her the apartment building was on fire.

Step-by-step explanation:

good luck

Answer:

97.656

Step-by-step explanation:

75.12 * 1.3 = 97.656

Answer:

22.536

Step-by-step explanation:

=75.12 × 30÷100

= 75.12 × 0.3

= 22.536

= 22.54

Answer:

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

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].

The margin of error is of:

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

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that [tex]n = 1012, \pi = \frac{374}{1012} = 0.3696[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

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

[tex]E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}[/tex]

[tex]E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

[tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Answer:

0.5 ft per min

Step-by-step explanation:

in 80 minutes the radius expanded by 40%

we can set up a proportion of percent change over minutes:

.4/80 = r/1

cross-multiply to get:

80r = .4

r = .005 or 1/2 of a foot per minute.

Hope It Helps :)

The radius of the spill changing between the time of the spill was noticed and the arrival of the response team is 2/7.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Let the radian of the spill at time t be μ(t).

Since, radian increases at a constant rate, we have,

dμ/dt = k

r(t) = kt + c

At t = 0, r = 60 m

60 = k(0) + c

c = 60

At, t = 70, r(70) = 80 m

80 = k(70) + 60

20 = 70k

k = 20/70

k = 2/7

Then, r(t) = 2/7t + 60 and the rate of change of radian of the spill is 2/7 per min.

To know more about equation:

https://brainly.com/question/29657983

#SPJ5

Answer:

462

Step-by-step explanation:

(11)C(6) = 11! ÷ 6! 5!

= (11 x 10 9 x 8 x 7) / (5 x 4 x 3 x 2)

= 462

Answer:

B x >= 11

Step-by-step explanation:

80 miles total, 14 miles already done => 80-14=66 miles left.

66 miles distributed evenly across 6 days means 66/6=11

Answer:

Step-by-step explanation:

there are a total of 6 distinct choices.  4 of the six , are NOT red.

so 4/6 or 2/3

P(not red) = 2/3  

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

1697 ➳ MDCXCVII

Answer:

MDCXCVII

Step-by-step explanation:

Answer:

B = 5:00

Step-by-step explanation:

360/12 = every hour is 30 degrees more

150/30 = 5 hours

Answer:

Answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The volume of the rectangular prism is:

Answer:

Step-by-step explanation:

 To find the area of a rectangle in square inches  simply multiply your measurements for length and width to determine the area of your square or rectangular area in square inches. For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.

Answer:

(-3,3) and (4,0) are inside the triangle.

Answer:

is b

Step-by-step explanation:

porque si miras el (5) tienes que sacar la tercera parte pero la respuesta que es la mitad es 2