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horsena [70]
2 years ago
12

Please help asap

Mathematics
1 answer:
FromTheMoon [43]2 years ago
3 0

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

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A dartboard consists of two concentric circles. The probability of hitting the inner circle is
stepan [7]
Given:
Diameter of outer circle = 20 inches.

We need to find the Area of the outer circle to get the radius of the inner circle.

Area = πr²

Outer circle Area = 3.14 * (10in)² = 314 in²

314 in² * 64% probability = 200.96 in² Area of the inner circle.

200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r

radius of inner circle is 8 inches.
3 0
3 years ago
A circle has a sector with area 33 pi and central angle of 11/6 pi radians. What is the area of the circle?
frosja888 [35]

Answer:

The area of the circle is 36\pi\ units^{2}

Step-by-step explanation:

we know that

The area of a circle subtends a central angle of 2\pi radians

so

By proportion find the area of the circle

\frac{33\pi }{(11\pi /6)}=\frac{x}{2\pi}\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^{2}

4 0
2 years ago
Read 2 more answers
A survey of 200 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take
Lina20 [59]

Answer:

The 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>P</em> is:

CI=p\pm z_{\alpha/2}\sqrt{\frac{p(1- p)}{n}}

The information provided is:

<em>x</em> = number of students who responded as"yes" = 70

<em>n</em> = sample size = 200

Confidence level = 95%

The formula to compute the sample proportion is:

p=\frac{x}{n}

The R codes for the construction of the 95% confidence interval is:

> x=70

> n=200

> p=x/n

> p

[1] 0.35

> s=sqrt((p*(1-p))/n)

> s

[1] 0.03372684

> E=qnorm(0.975)*s

> lower=p-E

> upper=p+E

> lower

[1] 0.2838966

> upper

[1] 0.4161034

Thus, the 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).

7 0
3 years ago
Read 2 more answers
Solve for the variable k.<br><br><br><br> m/k=x
Katyanochek1 [597]
M / k = x.....multiply both sides by k. eliminating the k on the left side
m = xk <==
3 0
3 years ago
a positive integer is twice another. The sum of the reciprocals of the two positive integers is frac 3/16, find the two integers
gizmo_the_mogwai [7]

Step-by-step explanation:

  • Let x be the smallest integer
  • Let 2x be the larger integer

As the sum of the reciprocals of the two positive integers is frac 3/16

So,

\frac{1}{x}\:+\:\frac{1}{2x}\:=\:\frac{3}{16}

\mathrm{Multiply\:by\:LCM=}16x

\frac{1}{x}\cdot \:16x+\frac{1}{2x}\cdot \:16x=\frac{3}{16}\cdot \:16x

Simplify

24=3x

\mathrm{Switch\:sides}

3x=24

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3x}{3}=\frac{24}{3}

x=8

So,

2x=16

<h2>Verification:</h2>

\frac{1}{8}\:+\:\frac{1}{16}

\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16

=\frac{2}{16}+\frac{1}{16}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{2+1}{16}

=\frac{3}{16}

Therefore,

\frac{1}{8}+\frac{1}{16}=\frac{3}{16}

Keywords:  word problem , integer

Learn more about solving integer word problem from brainly.com/question/10905225

#learnwithBrainly

4 0
3 years ago
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