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3 years ago

These box plots show daily low temperatures for a sample of days In two different towns

Mathematics

2 answers:

Natali5045456 [20]3 years ago

6 0

Answer:

Choice A is correct

Step-by-step explanation:

The distribution for town A is symmetric, but the distribution for town B is negatively skewed. From the box plots it is clear that the tails of the box plot for town A are equal in length while for town B the left tail is longer implying a negatively skewed distribution.

Gekata [30.6K]3 years ago

6 0

Answer:

option c)

both distribution are symmetric.

Step-by-step explanation:

Symmetric vs skewed

In symmetric data, the median cuts the box into two equal pieces.

Just like in case of both town:

TownA

30(median)

20 40

TownB

40(median)

35 45

Skewed data show a lopsided box plot, where the median cuts the box into two unequal pieces. If the longer part of the box is to the right (or above) the median, the data is said to be positively skewed and if the longer part is to the left (or below) the median, the data is negatively skewed.

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Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.

yaroslaw [1]

Answer:

Δ ABC and Δ DEF are similar because their corresponding sides are proportional

Step-by-step explanation:

Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios

In the two triangles ABC and DEF

∵ AB = 4 units

∵ DE = 2 units

∴ $\frac{AB}{DE}=\frac{4}{2}=2$

∵ BC = 6 units

∵ EF = 3 units

∴ $\frac{BC}{EF}=\frac{6}{3}=2$

∵ CA = 2 units

∵ FD = 1 units

∴ $\frac{CA}{FD}=\frac{2}{1}=2$

∴ $\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2$

∵ All the ratios of the corresponding sides are equal

∴ The corresponding sides of the two triangles are proportional

∴ Δ ABC is similar to Δ DEF

6 0

3 years ago

Which expression simplifies...

Zina [86]

Answer:

see below

Step-by-step explanation:

If suffices to look at the last term. It must simplify to 4/(3w²), so the exponents of z must match in numerator and denominator, and the ratio of constants must reduce to 4/3.

The exponents of z have the right values in choices B and D, but the ratio of constants only matches in choice D. Looking at the rest of choice D, we see that we can factor 6w²z² from both numerator and denominator, then factor 2 from the remaining numerator to make it match the desired form.

$\dfrac{(12w^2z^4-24w^2z^2)}{18w^4z^2}=\dfrac{6w^2z^2}{6w^2z^2}\cdot\dfrac{2z^2-4}{3w^2}=\dfrac{2(z^2-2)}{3w^2}$