Which pairs of polygons are congruent?

Suppose that the regression equation y = 16.99 + 0.32 x1 + 0.41 x2 + 5.31 x3 predicts an adult’s height (y) given the individual

umka21 [38]

Answer:

Step-by-step explanation:

It is given that the regression equation

$y = 16.99 + 0.32 x_1 + 0.41 x_2 + 5.31 x_3$

predicts an adult’s height (y) given the individual’s mother’s height (x1), his or her father’s height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0).

The coefficient of x1 = 0.32 represents the increase in height of the child due to one inch increase in mother.

Similarly coefficient of x2 = 0.42 represents the increase in height of the child due to one inch increase in father.

and coefficient of x3 = 5.31 represents the increase in height of the child due to being a male than a female.

8 0

3 years ago

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 7? Express your answer as a frac

zzz [600]

Answer:

0.4167 is the probability of rolling a sum less than 7.

Step-by-step explanation:

We are given the following in the question:

Event: A standard pair of six-sided dice is rolled

A: rolling a sum less than 7

Sample space:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

A:

{(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2),(5,1)}

Formula:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(A) = \dfrac{15}{36} = 0.4167$

0.4167 is the probability of rolling a sum less than 7.

8 0

3 years ago

MATHEMATICS: A boy leaves home at 09:15 hours and arrives at 10:05 hours. If he travels nonstop at an average speed of 6kmh ,wha

love history [14]

Answer:

5 km.

Step-by-step explanation:

We have to calculate the distance if we apply the speed formula that would be the distance in a given time:

v = d / t

therefore, if we solve for distance it would be:

d = v * t

Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:

50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:

d = 6 * 0.8333

d = 5

In other words, the distance between the school and the house is 5 km.

5 0

3 years ago

Old Grandpa Joe left half his money to his granddaughter and half that amount to his grandson.

Usimov [2.4K]

Answer:

£12000

Step-by-step explanation:

Granddaughter -- 1/2 of x

Grandson -- 1/2(1/2 of x)

Brother -- 1/6 of x

Dogs' home -- £1000

Therefore,

$\frac{x}{2} + \frac{x}{4} + \frac{x}{6} + 1000 = x$

x = 12000

Thenks and mark me brainliest :)

7 0

3 years ago

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

Oksanka [162]

Standard form is ax+by=c

first we use
y-y1=m(x-x1)
a point is (x1,y1)
the slope is m

the slope between the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(1,1) and (3,4)
slope=(4-1)/(3-1)=3/2

a oint is (1,1) and slope is 3/2
y-1=3/2(x-1)
y-1=3/2x-3/2
solve for ax+by=c form, a is normally positive and a and b and c are whole numbers
times 2 both sides
2y-2=3x-3
minus 2y
-2=3x-2y-3
add 3
1=3x-2y
3x-2y=2

5 0

3 years ago