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In-s [12.5K]
3 years ago
7

Choose the correct description of the graph of the compound inequality x − 3 < −11 or x + 5 greater than or equal to 14.

Mathematics
1 answer:
adoni [48]3 years ago
7 0
X - 3 < -11
x < -11 + 3
x < - 8

x + 5 > = 14
x > = 14 - 5
x > = 9

open circle on -8, shading to the left.....closed circle on 9, shading to the right


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Find the volume of a right circular cone that has a height of 11.1 in and a base with a circumference of 17.6 in. Round your ans
Mademuasel [1]

Answer:91.1

Step-by-step explanation:

Circumference=17.6

2xπxr=17.6

2x3.14xr=17.6

6.28r=17.6

r=17.6 ➗ 6.28

r=2.8

volume of cone=(πxr^2xh) ➗ 3

Volume=(3.14x(2.8)^2x11.1) ➗ 3

Volume=(3.14x2.8x2.8x11.1) ➗ 3

Volume=273.3 ➗ 3

Volume=91.1

6 0
3 years ago
Simplify 2( 5 3 + 3 4 ) − 4 3
ser-zykov [4K]

Answer:

131

Step-by-step explanation:

2(53+34)-43

PEMDAS requires parentheses to be done first.

2(87)-43

Next, multiplication

174-43

Subtract

131

6 0
3 years ago
Read 2 more answers
Which equation has only 10 as a possible value of x
Igoryamba

Answer:

x=10

Step-by-step explanation:

if x is anything other than 10, the equation isnt true

8 0
3 years ago
Read 2 more answers
HELP PLEASE
DENIUS [597]
The answer is 90° degrees.
8 0
3 years ago
Kim wants to determine a 90 percent confidence interval for the true proportion of high school students in the area who attend t
PolarNik [594]

Answer:

We need a sample of at least 752 students.

Step-by-step explanation:

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

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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

The margin of error of the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How large of a sample must she have to get a margin of error less than 0.03

We need a sample of at least n students.

n is found when M = 0.03.

We have no information about the true proportion, so we use \pi = 0.5.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.645*0.5

\sqrt{n} = \frac{1.645*0.5}{0.03}

(\sqrt{n})^{2} = (\frac{1.645*0.5}{0.03})^{2}

n = 751.67

Rounding up

We need a sample of at least 752 students.

6 0
4 years ago
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