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Elodia [21]
3 years ago
12

Using the drawing that is the vertex of angle 4

Mathematics
1 answer:
TEA [102]3 years ago
8 0

A.A is your best answer

A vertex is "the apex" of the angle.

See attached photo.

hope this helps

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Consider the population regression of log earnings [Yᵢ, where Yᵢ= ln(Earningsᵢ)] against two binary variables:
puteri [66]

Answer:

A) allows the population effect on log earnings of being married to depend on gender

Step-by-step explanation:

The regression equation of a dependent variable based on two or more independent variables is of the form:

Y=b_{0}+b_{1}X_{1} +b_{2}X_{2}+b_{3}X_{1}X_{2}

Here,

<em>Y</em> = dependent variable

X_{1} and X_{2} = independent variables

X_{1}X_{2} = interaction term

b_{1},\ b_{2}\ and \ b_{3} = regression coefficients.

If there is a significant interaction effect present then this implies that the effect of one independent variable (X_{1} orX_{2} ) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable  (X_{1} orX_{2} ) .

The provided regression equation is:

Y_{i}=\beta _{0}+\beta _{1}D_{1i}+\beta_{2}D_{2i}+\beta _{3}D_{1i}D_{2i}+u_{i}

Y_{i} = dependent variable

D_{1i} and D_{2i} = independent variables

In this case the interaction term is defined as follows:

The effect of being married on log earnings is dependent on different values of the variables D_{2i}, i.e. the gender of the i^{th}person.

Thus, the correct option is (A).

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Step-by-step explanation:

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A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29
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Answer    

Find out the  what is the surface area of the pyramid .

To proof

Formula

Surface area of a square pyramid

= a^{2} + 2a \sqrt{\frac{a^{2}}{4} +h^{2}

Where a is the base edge and h be the height .

As given

A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches.

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Put values in the above formula

= 40^{2} + 2\times40\times\sqrt{\frac{40^{2}}{4} +21^{2}

solving

= 1600 + 80 \sqrt{\frac{1600}{4} + 441

= 1600 + 80\times\sqrt{841}

\sqrt{841} = 29

= 1600 + 80 × 29

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Therefore the surface area of the pyramid is 3,920 inches²

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B, -3(-4)^2+(2)4(-4) plug into a calculator
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