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3 years ago

What is the difference between the median and the range in the data set shown below?

Mathematics

2 answers:

Snezhnost [94]3 years ago

8 0

Median is 7, two numbers in the middle is 8 and 6, 8+ 6 = 14 divided by 2 is 7.

Range is largest number minus the smallest number. Largest number is 13 and smallest number is 1. 13-1 equals 12. Range is 12.

12 - 7 = 5 answer is 5

PtichkaEL [24]3 years ago

8 0

Answer:

Step-by-step explanation:

because i said so boi

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Please help me with this please

eimsori [14]

Part (a)

Using the quotient rule, the blank is 11/5.

Part (b)

Using the product rule, the blank is 9.

Part (c)

Using the power rule, the blank is 5.

6 0

2 years ago

Select the postulate or theorem that you can use to conclude that the triangles are similar.

insens350 [35]

Answer: SAS similarity postulate

Step-by-step explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

In triangles, QNR and MNP,

$\frac{QN}{MN} = \frac{QM+MN}{MN} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}$

$\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}$

$\implies \frac{QN}{MN} = \frac{NR}{NP}$

Also,

$\angle QNR\cong \angle MNP$ (Reflexive)

Thus, By SAS similarity postulate,

$\triangle QNR\sim\triangle MNP$

⇒ Option first is correct.

8 0

3 years ago

The assembly of a machine takes 3/4 hour there are 12 steps in the assembly process what is the average time for each step

S_A_V [24]

We can solve this two different ways. I'll do both, and you choose which one makes the most sense:
We can divide the fraction 3/4 by 12. remember, when we divide fractions, we flip the second fraction and change the sign to multiplication:
3/4 ÷12 [starting equation]
3/4 x 1/12 [flip and change sign]
3/48 [now reduce]
1/16 Each step takes 1/16 of an hour.
1/16 x 60 = 3 3/4, or 3.75 minutes

Second way:
3/4 of an hour is 3/4 of 60...45 minutes.
Still, we divide out:
45 ÷ 12 [starting equation]
3 9/12 [divide with remainder]
3 3/4 minutes...3.75 minutes

5 0

4 years ago

1. (a). A police car, approaching right-angled intersection from the north, is chasing a speedmg

tamaranim1 [39]

Answer:

The SUV is running at 70 km/h

Step-by-step explanation:

Speed As Rate Of Change

The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.

This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

$d=\sqrt{x^2+y^2}$

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

$\displaystyle d\ '=\frac{x.x'+y.y'}{\sqrt{x^2+y^2}}$