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Diano4ka-milaya [45]
3 years ago
12

Alonzo describes a histogram as having a cluster from 20–50, a frequency of 0 from 10–20, and a peak at 40–50. Which histogram i

s he describing? A histogram titled Reading logs with number of pages on the x-axis and students on the y-axis. 1 student read 0 to 10 pages, 0 read 10 to 20, 8 read 20 to 30, 12 read 30 to 40, and 18 read 40 to 50. A histogram titled Reading logs with number of pages on the x-axis and students on the y-axis. 1 student read 0 to 10 pages, 8 read 10 to 20, 0 read 20 to 30, 12 read 30 to 40, and 18 read 40 to 50. A histogram titled Reading logs with number of pages on the x-axis and students on the y-axis. 1 student read 0 to 10 pages, 0 read 10 to 20, 8 read 20 to 30, 18 read 30 to 40, and 12 read 40 to 50.
Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
8 0

Answer:

A

Step-by-step explanation:

In the histogram described by the first option, the peak (18) is located at 40-50. Also, a frequency of zero is observed for range 10-20. The cluster from 20–50 means that most of the data is between this range, in fact, only 1 point is located at range 0 - 10, outside this cluster.

Darya [45]3 years ago
6 0

Answer:

a

Step-by-step explanation:

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Answer:

f ≤ 1

Step-by-step explanation:

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What is the length of segment BC? A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is loca
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The length of segment BC can be determined using the distance formula, wherein, d = sqrt[(X_2 - X_1)^2 + (Y_2 - Y_1)^2]. The variable d represent the distance between the two points while X_1, Y_1 and X_2, Y_2 represent points 1 and 2, respectively. Plugging in the coordinates of the points B(-3,-2) and C(0,2) into the equation, we get the length of segment BC equal to 5.  
4 0
4 years ago
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A restaurant manager recorded the number of people in different age groups who attended her food festival. She then created the
Andre45 [30]

Answer:

Option: B

There are three times as many participants in the 40-59 age group than in the 0-19 age group.

Step-by-step explanation:

From the histogram we have following observations:

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Number of people in the age group 20-39=40

Number of people in the age group 40-59=60

Number of people in the age group 60-79=50

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Hence, option B is correct.


4 0
3 years ago
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Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=-24
Zanzabum

We want to find a polynomial

<em>f(x)</em> = <em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em>

such that the roots of <em>f</em> are <em>x</em> = -3, <em>x</em> = -1, and <em>x</em> = 4, and <em>f(x)</em> takes on a value of -24 when <em>x</em> = -2.

The factor theorem for polynomials tells us that we can factorize <em>f(x)</em> as

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a</em> (<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4)

Expand the right side:

(<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4) = <em>x</em>³ - 13<em>x</em> - 12

So we have

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a x</em>³ - 13<em>a</em> <em>x</em> - 12<em>a</em>

<em />

In order for both sides to be equal, the coefficients of both polynomials on terms of the same degree must be equal. This means

<em>a</em> = <em>a</em> (of course)

<em>b</em> = 0 (there is no <em>x</em>² term on the right)

<em>c</em> = -13<em>a</em>

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<em />

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<em>f</em> (-2) = <em>a</em> (-2 + 3) (-2 + 1) (-2 - 4)

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So we found

<em>f(x)</em> = -4<em>x</em>³ + 52<em>x</em> + 48

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