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3 years ago

Which undefined term is needed to define a circle? Point Radius Line Ray

Mathematics

2 answers:

Licemer1 [7]3 years ago

7 0

Answer:

Point

Step-by-step explanation:

astra-53 [7]3 years ago

3 0

Answer:

<h2>POINT</h2>

Step-by-step explanation:

Of all the terms mentioned, only one of them is undefined, and that's a point.

Other terms have their own definitions (are defined).

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What is an expression for “72 less than 12 times a number”?

Burka [1]

Answer:y>6

Step-by-step explanation:

Let the unknown number b y

72<12y

Divide through by 12

y>6

3 0

3 years ago

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numb

dezoksy [38]

Answer:

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

Step-by-step explanation:

Given first sample size n₁ = 677

First sample proportion

$p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{172}{677} = 0.254$

Given second sample size n₂ = 3377

second sample proportion

$p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{654}{3377} = 0.1936$

Null Hypothesis : H₀ : p₁ = p₂.

Alternative Hypothesis : H₁ : p₁ ≠ p₂.

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{P Q(\frac{1}{n_{1} } +\frac{1}{n_{2} }) } }$

where

$P = \frac{n_{1} p_{1} + n_{2} p_{2} }{n_{1}+n_{2} } = \frac{677 X 0.254+3377 X 0.1936}{677+3377}$

P = 0.2036

Q = 1 - P = 1 - 0.2036 = 0.7964

$Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964(\frac{1}{677 } +\frac{1}{3377 }) } }$

Z = 3.775

Critical value ∝=0.05

Z- value = 1.96

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

3 0

3 years ago

The Perimeter of the quadrilateral is 30 centimeters. Find the length of each side. The sides are: x+5, x+3, 2x-2, x^2-2x

Nitella [24]

Answer:

9 cm, 7 cm, 6 cm and 8 cm

Step-by-step explanation:

The perimeter is the sum of all the sides.

4 sides' expressions are given, so we add them and equate to 30.

$x+5+x+3+2x-2+x^2-2x=30\\x^2+2x+6=30\\x^2+2x+6-30=0\\x^2+2x-24=0\\(x+6)(x-4)=0\\x=-6,4$

Note: we disregard the value of x = -6, because it is going to give us side with negative length, that can't happen!

So, we take x = 4

Hence, length of each side is:

x + 5 = 4 + 5 = 9 cm

x + 3 = 4 + 3 = 7 cm

2x -2 = 2(4) - 2 = 8 - 2 = 6 cm

x^2 - 2x = (4)^2 - 2(4) = 16 - 8 = 8 cm

These are the lengths of 4 sides: 9 cm, 7 cm, 6 cm and 8 cm.

7 0

3 years ago

Write 87% as a decimal

mariarad [96]

.87
all you do is divide by 100

8 0

4 years ago

Read 2 more answers

What is a reasonable measure for the angle shown?

dimaraw [331]

I would say 120 since it’s not at the end near 170

4 0

3 years ago