Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:
Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.
Hi!
We can use <u>point-slope form </u>to solve this.
<em> and </em>
<em> will be from one of the points.</em>
<u>First, we have to find </u>
<u>, the slope. We can use the slope equation to get this.</u>
<em>Plug in your points:</em>
Your slope is 
<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>
Now, if you want to get it into y = mx + b form, you have to solve for y:
Your equation is
<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>
brainly.com/question/986503
The complete statements are as follows;
The variable is represented by<u> one </u><u>orange </u><u>x </u><u>tiles</u><u>.</u>
Subtract three is represented by <u>three</u><u> </u><u>blue</u><u> - tiles</u>.
The tiles represent <u>subtraction</u> <u>3</u> from an unknown number.
<h3>What are algerbra tiles?</h3>
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x -3.
The complete statements are as follows;
The variable is represented by<u> one </u><u>orange </u><u>x </u><u>tiles</u><u>.</u>
Subtract three is represented by <u>three</u><u> </u><u>blue</u><u> - tiles</u>.
The tiles represent <u>subtraction</u> <u>3</u> from an unknown number.
To know more about algerbra tiles click the link given below.
brainly.com/question/81876
I would say the answer is A and E
Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation:
