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goblinko
9 days ago
5

What is the equation for the linear model in the scatter plot obtained by choosing the two points to the closest line?

Mathematics
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A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated. What is the appr
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The estimated probability that the code consists solely of odd digits is 0.02381.
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Given: △PTC
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To determine the missing angle of P, which measures 30 degrees, angle P and C are congruent since they are identical. The longest side, the hypotenuse, is PC, corresponding to angle T. Utilizing the Pythagorean Theorem, a² + b² = c², we find (PT)² + (CT)² = (PC)². Knowing that PT equals 4 and since PT and CT are congruent, we can restate it as (4)² + (4)² = (PC)², leading to PC being equal to rad(32). Could someone please confirm?
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Which equation represents a proportional relationship that has a constant proportionality equal to 0.7
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Response:

first option

Detailed explanation:

The equation expressing a proportional relationship is

y = kx ← with k as the proportional constant

Here k takes the value of 0.7, hence

y = 0.7x ← represents the required equation

Given

\frac{y}{x} = \frac{7}{10} (cross-multiply)

10y = 7x (dividing both sides by 10)

y = \frac{7}{10} x = 0.7 x ← emerges as the needed equation

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A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise
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Out of 100 surveyed individuals, 35 work out in the morning, 45 in the afternoon, and 20 at night.

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The ratio of morning exercisers to the whole group is 35/100.
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A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line o
Svet_ta [12734]

Given:

A quadratic function has a line of symmetry positioned at x = –3.5 with one root located at –9.

To find:

The second root.

Solution:

It is understood that the line of symmetry splits the quadratic function's graph into two identical halves. Hence, both roots are equidistant from this line.

This implies that the line of symmetry passes through the midpoint of the two roots.

Let the other root be denoted as x.

-3.5=\dfrac{(-9)+x}{2}

Multiply both sides by 2.

-7=-9+x

Add 9 to both sides.

-7+9=-9+x+9

2=x

Consequently, the other zero of the quadratic function is concluded to be 2.

8 0
2 months ago
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