Answer:
<h3>A. -2 1/7</h3>
Step-by-step explanation:
Given the expression 5(-3/7)
On simplifying, we have:

Express as a mixed fraction

Hence the correct answer is -2 1/7
So to figure out 10% of this would be to remove the 0. that would be six. since 30÷10 is 3, we have to do 6×3. that would be 18, so 30% of 60 is 18
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.
1,2,4,6,7 that’s is the answer
Applying the same-side interior angles theorem,
7. m∠4 = 50°; m∠5 = 130°
8. m∠2 = 15°; m∠8 = 15°.
<h3>What is the Same-Side Interior Angles Theorem?</h3>
The same-side interior angles theorem holds that, two interior angles on a side of a transversal are supplementary, that is they add up to 180 degrees.
<h3>What is the
Alternate Exterior Angles Theorem?</h3>
According to the alternate exterior angles theorem, exterior angles that alternate each other along a transversal are congruent, that is they have equal measures.
7. m∠4 + m∠5 = 180 [same-side interior angles theorem]
Substitute
y + 2y + 30 = 180
3y + 30 = 180
3y = 180 - 30
3y = 150
y = 50
m∠4 = y = 50°
m∠5 = 2y + 30 = 2(50) + 30
m∠5 = 130°
8. m∠2 = m∠8 [alternate exterior angles theorem]
Substitute
x - 30 = 3x - 120
x - 3x = 30 - 120
-2x = -90
x = 45
m∠2 = x - 30 = 45 - 30 = 15°
m∠8 = 3x - 120 = 3(45) - 120 = 15°
Learn more about the same-side interior angles theorem on:
brainly.com/question/16976757
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