~15 POINTS~ Please help me with this question.

Mathematics

1 answer:

Step2247 [10]3 years ago

7 0

Divide the actual building's measurements by the replica's measurements.

$\frac{400}{20}=20\\\\\frac{320}{16}=20$

The measurements of the actual building are divided by 20 not 12.
The crew member's calculation is incorrect.

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The brain volumes (cm cubed) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed. Use the g

valentina_108 [34]

Answer:

Yes, the value 1411.8 cm³ is significantly high.

Step-by-step explanation:

Consider the provided information.

The brain volumes (cm cubed) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.

The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:

The range rule of thumb identifying significant values are as.

Significantly low values are μ-2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2-2(125.3)=860.6

Significantly high values are μ+2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2+2(125.3)=1361.8

The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.

Hence, Yes, the value 1411.8 cm³ is significantly high.

3 0

2 years ago

As the figure shows Elton runs 500 m to point b first then he turns 100 degrees and runs another 350 m to point c how far is the

Alex777 [14]

Answer:

658.24 m

Step-by-step explanation:

Let A be the point from where Elton started. Connect points A and C, you get triangle ABC with AB=500 m, BC=350 m and m∠B=100°. Use the cosine rule to determine the length of the segment AC:

$AC^2=AB^2+BC^2-2\cdot AB\cdot BC\cdot \cos \angle B,\\ \\AC^2=500^2+350^2-2\cdot 500\cdot 350\cdot \cos 100^{\circ},\\ \\AC^2=250000+122500-350000\cdot (-0.174),\\ \\AC^2\approx 433276.8622,\\ \\ AC\approx 658.24\ m.$