Write each function in standard form.<br> y = 3(x

vfiekz [6]

\left[x _{2}\right] = \left[ 6+\sqrt{33}\right][x2]=[6+√33]

8 0

3 years ago

Jorge was tracking the decreasing temperature in the morning. At 7 a.m., it was 65 degrees Fahrenheit. At 9 a.m., it was 55 degr

Anna007 [38]

D. because for every hour it goes down 5 degrees and since there is a 1 hour gap in between 7 am and 9 am

5 0

3 years ago

If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that the d

katen-ka-za [31]

Answer:

We need a sample size of least 119

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Sample size needed

At least n, in which n is found when $M = 0.09$

We don't know the proportion, so we use $\pi = 0.5$ , which is when we would need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.09 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.09\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.09}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.09})^{2}$

$n = 118.6$

Rounding up

We need a sample size of least 119

6 0

3 years ago

I need a answer to this question please help

Burka [1]

Since the triangles are similar, the slope of line segment AD and line segment BD are the same.
The initial value and slope of the graph are 66 and 44 respectively.

<h3>Why are the two slopes the same?</h3>

Considering the two right-angled triangles (ΔABD and ΔBCE) with the following points A(2, 154), B(1, 110), D(2, 110) and E(1, 66).

Since the triangles are similar, the slope of line segment AD is given by:

Tanθ = AD/BE

Tanθ = (154 - 110)/(110 - 66)

Tanθ = 44/44

Tanθ = 1.

Also, the slopes of line segment BD is given by:

Tan∅ = BD/CE

Tan∅ = (2 - 1)/(1 - 0)

Tan∅ = 1/1

Tan∅ = 1.

Therefore, the slope of line segment AD and line segment BD are the same because θ is equal to ∅.

<h3>What are the initial value and slope of the graph?</h3>

By critically observing the graph, we can logically deduce that the initial value of this graph is 66 and it represents the shark's distance at the initial time (0 minute).

For the slope, we have:

Slope = Δy/Δx

Slope = (154 - 66)/(2 - 0)

Slope = 88/2

Slope = 44.

Read more on slope here: brainly.com/question/17601248

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<u>Complete Question:</u>

The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:

Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C.

Part B: What are the initial value and slope of the graph, and what do they represent?

6 0

2 years ago

PLS HELP I WILL GIVE BRAINIEST JUST PLSSS

Luden [163]

Answer:

bc it has the same value

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Write each function in standard form. y = 3(x - 2)2^2- 4​

Write each function in standard form. y = 3(x - 2)2^2- 4