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Question 7
Make a Conjecture Refer to the histogram. Write a conclusion you can make about the data.
Number of Siblings
Most students have
◻ or fewer siblings. The most common number of siblings is
◻ or

◻

81^(@)F Partly su

Question $7$ $\newline$ Make a Conjecture Refer to the histogram. Write a conclusion you can make about the data. $\newline$ Number of Siblings $\newline$ Most students have $\newline$ $\square$ or fewer siblings. The most common number of siblings is $\newline$ $\square$ or $\newline$ $\square$ $\newline$ $81^{\circ}F$ Partly su

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Sin, cos, and tan of special angles

Full solution

Q. Question

7

\newline

Make a Conjecture Refer to the histogram. Write a conclusion you can make about the data.

\newline

Number of Siblings

\newline

Most students have

\newline

\square

or fewer siblings. The most common number of siblings is

\newline

\square

or

\newline

\square

\newline

81^{\circ}F

Partly su

Analyze Histogram Data: Step $1$ : Analyze the histogram data to identify the most common number of siblings. $\newline$ Reasoning: Histograms show the frequency of data points; the highest bar represents the most common value. $\newline$ Calculation: Identify the tallest bar in the histogram.
Determine Student Range: Step $2$ : Determine the range that includes most of the students. $\newline$ Reasoning: Look for the range where the cumulative frequency of the bars covers the majority of the data. $\newline$ Calculation: Add the frequencies from the histogram starting from the smallest number of siblings until reaching at least $50\%$ of the total.

More problems from Sin, cos, and tan of special angles

Question

Marco's class is painting a mural on the side of their school. The mural covers a

3 \frac{1}{2} \mathrm{~m}

high, rectangular wall. It has an area of

28 \mathrm{~m}^{2}

\newline

What is the length of the mural?

\newline

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Question

A cup of hot coffee has been left to cool in a room with an ambient temperature of

21^{\circ} \mathrm{C}

\newline

The relationship between the elapsed time,

m

, in minutes, since the coffee was left to cool, and the temperature of the coffee,

T

{ }^{\circ} \mathrm{C}

, is modeled by the following function.

\newline

T(m)=21+74 \cdot 10^{-0.03 m}

\newline

What will the temperature of the coffee be after

10

\newline

Round your answer, if necessary, to the nearest hundredth.

\newline

{ }^{\circ} C

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Question

Takumi plants a tree in his backyard and studies how the number of branches grows over time.

\newline

He predicts that the relationship between

N

, the number of branches on the tree, and

t

, the elapsed time, in years, since the tree was planted can be modeled by the following equation.

\newline

N=5 \cdot 10^{0.3 t}

\newline

According to Takumi's model, in how many years will the tree have

100

\newline

Give an exact answer expressed as a base

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\newline

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Question

g(x)=2^{x}

\newline

Can we use the mean value theorem to say the equation

g^{\prime}(x)=16

has a solution where

3<x<5

\newline

1

\newline

(A) No, since the function is not differentiable on that interval.

\newline

(B) No, since the average rate of change of

g

over the interval

3 \leq x \leq 5

1 \overline{6}

\newline

(C) Yes, both conditions for using the mean value theorem have been met.

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Question

\frac{d y}{d t}=2 t+3 \text { and } y(1)=6

\newline

t

y=0

\newline

Choose all answers that apply:

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t=-1

\newline

t=-3

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t=0

\newline

t=-4

\newline

t=1

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t=-2

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