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luda_lava [24]
4 years ago
8

**YOU WILL GET A THANKS, 11 POINTS, INCLUDING A HAPPY STUDENT**

Mathematics
2 answers:
Semmy [17]4 years ago
8 0

320 was the difference in Cheyenne's score

Darina [25.2K]4 years ago
7 0

The difference is 320

I got this by subtracting 420 and 100

420 - 100 = 320

Hope this helps

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Use the confidence interval to find the estimated margin of error. Then find the sample mean.
erma4kov [3.2K]

Answer: The estimated margin of error = 0.5 centimeter

The sample mean = 4.3 centimeters

Step-by-step explanation:

The confidence interval for population  mean is given by :-

\overline{x}\pm E

or (\overline{x}-E,\ \overline{x}+E)

, where \overline{x} = sample mean.

E = Margin of error .

The given confidence interval : (3.8,4.8 )

Lower limit : \overline{x}-E=3.8                (1)

Upper limit =  \overline{x}+E=4.8                (2)

Eliminate equation (1) from (2) , we get

2E=1.0\\\\\Rightarrow\ E=\dfrac{1}{2}=0.5

⇒ The estimated margin of error = 0.5 centimeter

Add (1) and (2) ,we get

2\overline{x}-E=8.6\\\\\Rightarrow\ \overline{x}=\dfrac{8.6}{2}=4.3  

⇒ The sample mean = 4.3 centimeters

3 0
3 years ago
The ratio of the number of text messages sent by Lucas to the number of text messages sent by his sister is 3 to 4. Lucas sent 1
vitfil [10]

Answer:

the answer is 24

Step-by-step explanation:

because if you do 18÷3, it equals 6. then you would do 6×4=24

7 0
4 years ago
Gandalf the Grey started in the Forest of Mirkwood at a point P with coordinates (3, 0) and arrived in the Iron Hills at the poi
Verdich [7]

Answer:

Turning point has coordinates \left(\dfrac{27}{13},\dfrac{8}{13}\right)

Step-by-step explanation:

Gandalf the Grey started in the Forest of Mirkwood at a point P(3, 0) and began walking in the direction of the vector \vec{v}=-3i+2j. The coordinates of the vector v are (-3,2). Then he changed the direction at a right angle, so he was walking in the direction of the vector \vec{u}=2i+3j (vectors u and v are perpendicular).

Let B(x,y) be the turning point. Find vectors PB and BQ:

\overrightarrow{PB}=(x-3,y-0)\\ \\\overrightarrow {BQ}=(5-x,5-y)

Note that vectors v and PB and vectors u and BQ are collinear, so

\dfrac{x-3}{-3}=\dfrac{y}{2}\\ \\\dfrac{5-x}{2}=\dfrac{5-y}{3}

Hence

2(x-3)=-3y\Rightarrow 2x-6=-3y\\ \\3(5-x)=2(5-y)\Rightarrow 15-3x=10-2y

Now solve the system of two equations:

\left\{\begin{array}{l}2x+3y=6\\ -3x+2y=-5\end{array}\right.

Multiply the first equation by 3, the second equation by 2 and add them:

3(2x+3y)+2(-3x+2y)=3\cdot 6+2\cdot (-5)\\ \\6x+9y-6x+4y=18-10\\ \\13y=8\\ \\y=\dfrac{8}{13}

Substitute it into the first equation:

2x+3\cdot \dfrac{8}{13}=6\\ \\2x=6-\dfrac{24}{13}=\dfrac{54}{13}\\ \\x=\dfrac{27}{13}

Turning point has coordinates \left(\dfrac{27}{13},\dfrac{8}{13}\right)

6 0
3 years ago
What is the scientific ntation for 58,927
nydimaria [60]
The scientific notation for 58,927 is 5.8927x10 with an exponent of 4.
3 0
4 years ago
24 ÷ 6 × 2 =<br> |<br>24 ÷ 12 = 2<br>PLEASE FIND THE ERROR AND EXPLAIN​
torisob [31]

If there is both multiplication and division, you go from left to right.

24/6=4

4x2=8

8 is the answer.

4 0
3 years ago
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