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2 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Mathematics

1 answer:

crimeas [40]2 years ago

3 0

Denali- 6.7x70= 469

The building should be strong enough to withstand an earthquake of that magnitude.

Rat Island- 7.8x30=234

The building should be string enough to withstand an earthquake of that magnitude.

Hope this helps! ;)

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Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m

Marta_Voda [28]

Answer:

$\bar X = \frac{2276}{48}=47.417$

If we compare this value with the 47.3 proposed we have the following error

$Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%$

The computed mean is close to the actual mean because the difference between the means is less than 5%.

Step-by-step explanation:

Assuming the following dataset:

Speed 42-45 46-49 50-53 54-57 58-61

Freq. 21 15 6 4 2

And we are interested in find the mean, since we have grouped data the formula for the mean is given by:

$\bar X = \frac{\sum_{i=1}^n x_i f_i}{\sum_{i=1}^n f_i}$

And is useful construct a table like this one:

Speed Freq Midpoint Freq*Midpoint

42-45 21 43.5 913.5

46-49 15 47.5 712.5

50-53 6 51.5 309

54-57 4 55.5 222

58-61 2 59.5 119

Total 48 2276

And the mean is given by:

$\bar X = \frac{2276}{48}=47.417$

If we compare this value with the 47.3 proposed we have the following error

$Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%$

The computed mean is close to the actual mean because the difference between the means is less than 5%.

6 0

3 years ago

Please help this is my last question

Ira Lisetskai [31]

It appears that there are 30 students total (14 Male students and 16 Female Students)

We are interested in selecting a male student, and the probability of that happening is 14/30 which simplifies to 7/15

7/15 becomes 0.4667

Convert 0.4667 to a percentage and you are left with 46.67%

Rounded to the nearest whole percent, you get 47%

Answer: 47%

6 0

3 years ago

What is 4.3(v+2.5)=8.11+4v

True [87]

Answer:

-8.8

Step-by-step explanation:

We begin by simplifying the parenthesis through multiplication. Parenthesis is a structure which signals multiplication happening.

$4.3(v+2.5)=8.11+4v\\4.3v+10.75=8.11+4v$

We now begin combining like terms across the equal sign by performing the inverse or doing the opposite. Move first the 8.11 by subtracting it from both sides.

$4.3v+10.75-8.11=8.11-8.11+4v\\4.3v+2.64=4v$

Now, move 4.3v across by subtracting it from both sides.

$4.3v-4.3v+2.64=4v-4.3v$

$2.64=-0.3v$

Finally, we divide both sides by the coefficient of v.

$\frac{2.64}{-0.3} =\frac{-0.3v}{-0.3} \\-8.8=v$

6 0

3 years ago

If the figure angle d mesures 31 and angle a mesures 27

Dvinal [7]

Last angle is 122 if its a triangle

4 0

3 years ago

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest poss

julia-pushkina [17]

Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

$c^2 > a^2 +b^2$