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2 years ago

A submarine is searching for underwater features. It is accompanied by a small aircraft

Mathematics

1 answer:

Ivanshal [37]2 years ago

7 0

Answer:

255 m

Step-by-step explanation:

From the given question, the surface of the water body is the reference point. And this point is assumed to be 0, so that any distance above it is positive, and any distance below is negative. This is synonymous to the number line system.

Thus,

For the aircraft, its height = +200 m

For the submarine, its depth = -55 m

So that the difference between the submarine and aircraft can be determined as;

200 - (-55)

= 200 + 55

= 255 m

The distance between the submarine and aircraft is 255 m.

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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 ( $X_{1}$ or $X_{2}$ ) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable ( $X_{1}$ or $X_{2}$ ) .

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).

3 0

3 years ago

There are 36 ribbons of which 1/5 are yellow, 7/15 are pink and the remaining ribbons are

Kay [80]

Step-by-step explanation:

Let there be x blue ribbons

$\therefore \: \frac{1}{5} + \frac{7}{15} + x = 36 \\ \therefore \: \frac{1 \times 3}{5 \times 3} + \frac{7}{15} + x = 36 \\ \therefore \: \frac{3}{15} + \frac{7}{15} + x = 36 \\ \therefore \: \frac{3 + 7}{15} + x = 36 \\ \therefore \: \frac{10}{15} + x = 36 \\ \therefore \: x = 36 - \frac{10}{15} \\ \therefore \: x = \frac{36 \times 15 - 10}{15} \\ \therefore \: x = \frac{540 - 10}{15} \\ \therefore \: x = \frac{530}{15} \\ \therefore \: x = 35\frac{5}{15} \\ \\ \therefore \: x = 35\frac{1}{3} \: are \: blue. \\$

5 0

3 years ago

Ben has typed 180 and can type 30 words per minute. Millie has typed 60 and can type 50 words per minute. How many minutes will

Alex17521 [72]

about 2 minutes

hope this helps

4 0

3 years ago

Small squares with sides 4 cm were cut from each of the corners of a square piece of cardboard. then it was folded into an open-

DENIUS [597]

Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
length=(x-8) cm
width=(x-8) cm
height=4 cm
thus the volume will be:
V=length*width*height
V=4×(x-8)×(x-8)=144
x²-16x+64=36
this can be simplified to form a quadratic equation given by:
x²-16x+28=0
solving the quadratic equation we get:
x=2 or x=14
Thus we conclude that the original dimensions was:
length=14 cm ; width=14 cm

7 0

3 years ago

Members of a lacrosse team raised $1352.50 to go to a tournament. They rented a bus for $802.50 and budgeted $25 per player for

Alecsey [184]

Answer: 22

Step-by-step explanation:

From the question the, we are informed that members of a lacrosse team raised $1352.50 to go to a tournament and that they rented a bus for $802.50 and budgeted $25 per player for meals.

The equation which can be used to determine p, the number of players the team can bring to the tournament would be calculated as:

802.50 + 25p = 1352.50

25p = 1352.50 - 802.50

25p = 550

p = 550/25

p = 22

They can bring 22 players to the tournament

3 0

3 years ago

Read 2 more answers