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2 years ago

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a man 1.30 m tall is on a top of a building. he observed a car on the road at an angle of 60 degrees if the building is 30 m hig

h,how far is the car from the building?

1 answer:

romanna [79]2 years ago

7 0

Given :

A man 1.30 m tall is on a top of a building. He observed a car on the road at an angle of 60 degrees if the building is 30 m high.

To Find :

How far is the car from the building.

Solution :

Let, distance between car and the building is x m.

So,

$tan \ \theta = \dfrac{height\ of\ building + height\ of\ man}{distance \ between \ car \ and \ building}\\\\tan \ 60^o = \dfrac{30+1.3}{x}\\\\x = \dfrac{31.3}{1.73}\ m\\\\x = 18.09\ m$

Hence, this is the required solution.

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In a one-way ANOVA, what is the difference between the among-groups variance MSA and the within-groups variance MSW?

LuckyWell [14K]

Answer:

$MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $j$ groups and on each group from $j=1,\dots,j$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}=6750+8000=14750$

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1$ where k represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-k$ .

And the total degrees of freedom would be $df=N-1$

We can find the $MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

And the we can find the F statistic $F=\frac{MSR}{MSE}=$

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3 years ago

HELP ME PLEASE !!!!!!!!!!15 POINTS

USPshnik [31]

C is the correct answer 3.785*2.5=9.4625 then multiply by 1000 and you get 9,462.5

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2 years ago

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!NUMBER 4! please help!! show all work please

snow_lady [41]

Answer:

C. 88

Explanation:

f(x) = 4x + 8 || g(x) = x² + x

fg( -5 )

go from right to left in such function problems.

replace x with [ -5 ]

f( (-5)² -5)

f(20)

[ replace x with 20 ]

4(20) + 8

80 + 8

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2 years ago

If x represents a number, write an expression in terms of x for seven less than three times this number divided

TEA [102]

Step-by-step explanation:

seven less than three times this number = 7 - 3x

7 - 3x divided by 5 times the square of number =

$\frac{7 - 3x}{5 {x}^{2} }$

<em>hope </em><em>this</em><em> answer</em><em> helps</em><em> you</em><em> dear</em><em>.</em><em>.</em><em>.</em><em>and </em><em>may </em><em>u</em><em> have</em><em> a</em><em> great</em><em> day</em><em> ahead</em><em>!</em>

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2 years ago

Find f (25/29) if f (x)=-5x+5

devlian [24]

Answer:

f(25/29) = $\frac{20}{29}$

Step-by-step explanation:

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2 years ago