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gizmo_the_mogwai [7]
3 years ago
14

Hi guys,how are you?

Mathematics
2 answers:
elena-s [515]3 years ago
3 0

Answer:

Fine

Step-by-step explanation:

VMariaS [17]3 years ago
3 0

Answer:

Good, I hope you have a great day

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We intend to estimate the average driving time of a group of commuters. From a previous study, we believe that the average time
Umnica [9.8K]

Answer:

The minimum sample size required is 25 so that margin of error is no more than 3 minutes.  

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 42 minutes

Standard Deviation, σ = 9 minutes.

We want to build a 90% confidence interval such that margin of error is no more than 3 minutes.

Formula for margin of error:

z_{critical}\times \dfrac{\sigma}{\sqrt{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting values, we get.

z_{critical}\times \dfrac{\sigma}{\sqrt{n}}\leq 3\\\\1.64\times \dfrac{9}{\sqrt{n}}\leq 3\\\\\dfrac{1.64\times 9}{3}\leq \sqrt{n}\\\\4.92\leq \sqrt{n}\\\Rightarrow n\geq 24.2064\approx 25

Thus, the minimum sample size required is 25 so that margin of error is no more than 3 minutes.

7 0
3 years ago
4. How tall is the tree?<br> 65°<br> 10m
ANEK [815]

Answer:

21.4 m

Step-by-step explanation:

let height of tree = h

tan 65° = h/10

h = tan 65°  x  10

h = 21.4 m

Hope this helps!

7 0
3 years ago
Find the measure for x
jasenka [17]

Answer:

257 degrees

Step-by-step explanation:

A circle has total angle of 360

360-103 = 257

7 0
3 years ago
May someone help me with this question it says: Sam's tent has slanted sides that each 5 feet long with the bottom 6 feet across
blondinia [14]

Answer:

C) 4.0 ft  

Step-by-step explanation:

We will use the Pythagorean theorem to solve this.  It states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse; algebraically,

a²+b² = c²

The height splits the base in two, giving us a leg of 3.  The hypotenuse is 5.  This gives us:

3²+b² = 5²

9+b² = 25

Subtract 9 from each side:

9+b²-9 = 25-9

b² = 16

Take the square root of each side:

√b² = √16 = 4

5 0
3 years ago
A volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model th
777dan777 [17]
Notice the picture below

that's when it reaches the highest point, at the "vertex"
what's the vertex at? is at h,k

where   \bf f(x)=a(x-h)^2+k\qquad &#10;\begin{array}{lllll}&#10;vertex&(&h&,&k)\\&#10;&&\uparrow &&\uparrow \\&#10;&&3&&13&#10;\end{array}

4 0
3 years ago
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