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Paul [167]
3 years ago
9

The time spent studying in hours on a daily basis of nine different students was used to create the box plot shown above. Which

of the sets of times below matches the given box plot?
Mathematics
1 answer:
kotykmax [81]3 years ago
7 0

Answer:

B.) 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5

Step-by-step explanation:

From the box plot, we can obtain the 5 - Numbe summary and compare with the values in the options given :

Kindly note that each tick mark on the box plot is seperated by a unit of 0.25

Minimum = 0 (starting point of left whisker)

Lower quartile = 0.25 (start point of box)

Median = 0.5 (point in between the box)

Upper quartile = 1.25 (end point of the box)

Maximum = 2.5 (end point of right whisker)

In ascending order we have ;

0, 0.25, 0.5, 1.25, 2.5

The data which best matches the plot is 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5

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At a toy factory, toy cars are produced on an assembly line. It takes 2.054 s to attach each of the four wheels. It takes 3.652
IrinaK [193]
Add together the time it takes to put on the four wheels and the hood.
2.054s +3.652s = 5.704s

multiple this answer by 42

5.706s times 42= 239.652s


answer number two is correct
8 0
3 years ago
Show all work to factor x4 − 10x2 + 9 completely.
leva [86]

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

x4-10x^2+9

Group expression so that the coefficients of the x^2 terms add up to +9.

= x^4 -9x^2   - x^2+9

match coefficients in both groups

= x^4 -9x^2   - (x^2-9)

factor each group

= x^2 (x^2-9) - 1(x^2-9)

now factor out the common factor (x^2-9)

= (x^2-1)(x^2-9)

Finally, factor each quadratic factor

= (x+1)(x-1)(x+3)(x-3)

6 0
3 years ago
Read 2 more answers
A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters
In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

\Rightarrow y=\sqrt{x^2+100}

Differentiating with respect to t

\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}

\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}

Since the car driving towards the intersection at 13 m/s.

so,\frac{dx}{dt}=-13

\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)

Now

\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)

               =\frac{24\times (-13)}{\sqrt{676}}

               =\frac{24\times (-13)}{26}

               = -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0
3 years ago
Will an object with a density of. 97 g/ml float or sink in water explain
Ainat [17]
I would say the object will float because the density of water is 999.99kg/m which is slightly less than 1g but still more than the object.
3 0
3 years ago
A team of psychologists studied the effect of multitasking on the completion of cognitive tasks. A group of 40 women participate
kakasveta [241]

Answer: Matched-pairs t-test

Step-by-step explanation:

5 0
3 years ago
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