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3 years ago

A ship has 1400 people on board. There are 200 more adults than children. How many children are on the ship?

Mathematics

1 answer:

kenny6666 [7]3 years ago

3 0

So,

1400 people in total. Though, subtract 200 for the amount of extra adults. This makes 1200. Divide that by two. You get 600

You need to add 200 to the 600 to get the amount of adults. The amount of adults on board is 800.

The amount of children on board is 600.

600 plus 800 equals 1400, it makes sense. :P

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Which equation has a graph that goes through the points (4, -6) and (0, 6)?

Ugo [173]

Answer:

$y = -3x + 6\\$

Step-by-step explanation:

Find the gradient of the equation

$\frac{Difference in y}{Difference in x} \\\\\frac{6 - - 6}{0 - 4} = \frac{12}{-4} = -3$

The equation will have the gradient -3x

Use the general equation of a line, and substitute the coordinates in to find the y-intercept.

$y = x + c\\ y = -3x + c\\$

(4, -6)

$-6 = -3(4) + c\\ -6 = -12 + c\\ -6 + 12 = c\\ c = 6$ $6 = -3(0) + c\\ 6 = 0 + c\\ c = 6$

(0, 6)

$6 = -3(0) + c\\ 6 = -0 + c\\ c = 6$

The equation of the line is

$y = -3x + 6\\$

4 0

4 years ago

The test statistic of z=2.08 is obtained when testing the claim that p≠0.611. a. Identify the hypothesis test as being two-tail

krek1111 [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

When the two-tailed were testing then:

Null and alternative hypothesis:

$H_0 : p = 0.611\\\\H_a : p \neq 0.611$

Testing the statistics:

$\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\$

therefore, it fails to reject the null hypothesis.

8 0

3 years ago

What is the second step to solve this x/2-5=1

sveta [45]

Answer:

X = -3

Step-by-step explanation:

X/2-5 = 1

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Multiply both sides by -3 to isolate x

X = -3

5 0

3 years ago

2 1

iragen [17]

A. (8,4) because you can tell in the second pattern

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3 years ago

I need help this question?

Masja [62]

Answer:

Correct answer: F. graph F or x ∈ |-5 ; 5| (including endpoints)

Step-by-step explanation:

Let us first define the absolute value:

| x | = 1. { x with condition x ≥ 0 }

or 2. { - x with condition x < 0 }

This is a linear inequality

1. x ≤ 5 ∧ x ≥ 0 ⇒ 0 ≤ x ≤ 5 or interval x ∈ |0 ; 5| (including endpoints)

2. - x ≤ 5 when we multiply both sides of the equation by -1 we get:

x ≥ -5 ∧ x < 0 ⇒ -5 ≤ x < 0 or interval x ∈ |-5 ; 0) (including -5)

The solution to this linear inequality is the union of these two intervals:

x ∈ |-5 ; 0) ∪ |0 ; 5| ⇒ x ∈ |-5 ; 5| (including endpoints)

x ∈ |-5 ; 5| (including endpoints)

God is with you!!!

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3 years ago