Which statements are true given the histogram? check
all that apply.
the histogram is symmetrical.
the histogram is evenly distributed.
the cluster from 4 p. m.-10 p. m. means that most of
the texts were sent in the afternoon and evening.
u more texts were sent from 6 p. m.-8 p. m. than from 8
p. m.-10 p. m.
the peak from 4 p. m.-6 p. m. means that the highest
number of texts was sent during this interval.
10 pm-1159

(a)The histogram is symmetrical. FALSE

(b) The histogram is evenly distributed.  FALSE

(c) The cluster from 4 p.m.-10 p.m. means that most of  the texts were sent in the afternoon and evening. TRUE

(d) More texts were sent from 6 p.m.-8 p.m. than from 8  p.m.-10 p.m.  FALSE.

(e)The peak from 4 p.m.-6 p.m. means that the highest  number of texts was sent during this interval. TRUE

Step-by-step explanation:

Here, the given statements are:

(a)The histogram is symmetrical.

FALSE, as the the histogram has no line of symmetry.

(b) The histogram is evenly distributed.

FALSE,  the histogram is not evenly distributed as there is no data in the

10: AM to 3:00 PM slot.

(c) The cluster from 4 p.m.-10 p.m. means that most of  the texts were sent in the afternoon and evening.

TRUE, the data shoes that the most texts were sent in afternoon and evening as it has the highest peaks in the given slot.

(d) More texts were sent from 6 p.m.-8 p.m. than from 8  p.m.-10 p.m.

The number of texts sent from  6 p.m.-8 p.m = 19

The number of texts sent  from 8  p.m.-10 p.m = 29

But, 19 < 29

Hence, the given statement is FALSE.

(e)The peak from 4 p.m.-6 p.m. means that the highest  number of texts was sent during this interval.

TRUE, the highest peak indicates the highest number of texts sent in the given interval.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value