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2 years ago

A, O and B lie on a straight line segment.

Mathematics

1 answer:

Dafna11 [192]2 years ago

8 0

Answer:

x = 36

Step-by-step explanation:

the 3 angles form a straight angle and sum to 180°

sum the 3 angles and equate to 180

3x + x + x = 180 , that is

5x = 180 ( divide both sides by 5 )

x = 36

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A study of the effects of acid rain on trees in the Hopkins Forest shows that 25 of 100 trees sampled exhibited some sort of dam

Grace [21]

Answer:

Yes

Step-by-step explanation:

We can test this claim using the one proportion z test :

x = 25 ; n = 100

Phat = x / n = 25 / 100 = 0.25

H0 : P = 0.15

H0 : P > 0.15

The test statistic :

Z = (phat - p) ÷ √p(1-p)/n

Z = (0.25-0.15) ÷ √(0.15*0.85)/100

Z = 2.8

Using the Pvalue from Zscore calculator :

α = 0.05

Pvalue (Z < 2.8) =0.0026

Pvalue < α ; We reject the Null

5 0

3 years ago

Multiply and divide the following fractions. Remember to invert the divisor and then multiply the fractions.

kap26 [50]

Answer:

1/2 x 2/3 = 0 . 3

1 1/2 x3/4 = 1. 125

4/4 x 7/6 = 1 . 27

3 divided by 1/2 = 6

2/3 divided by 1/2 = 1. 3

Step-by-step explanation:

1/2 x 2/3

= 0.33333333333

= 0 .3

1 1/2 x3/4

= 1.125

4/4 x 7/6

= 1.16666666667

= 1.27

3 divided by 1/2

= 6

2/3 divided by 1 / 2

= 1.33333333333

= 1. 3

Hope this answer helps you :)

Have a great day

Mark brainliest

3 0

2 years ago

Find the midpoint of the segment formed by the points D(8, 6) and E(4, 10).

bixtya [17]

D (8, 6)
E (4, 10)

$x_{midpoint} = \cfrac{x_D+x_E}{2} = \cfrac{8+4}{2}=6 \\ \\ y_{midpoint} = \cfrac{y_D+y_E}{2} = \cfrac{6+10}{2}=8
$

Answer: B. (6, 8)

6 0

3 years ago

There are exactly 1,944 of the 12-, or 0.5-, cubes inside a rectangular prism.

drek231 [11]

The volume of the rectangular prism is 3359232 cubic centimeters

<h3>How to determine the volume?</h3>

The length of the cube is given as:

Length, l = 12 cm

The volume of a cube is:

$V = l^3$

So, we have:

$V = 12^3$

Evaluate

V = 1728

The volume of 1944 cubes is then calculated as:

Volume = 1728 * 1944

Evaluate

Volume = 3359232

Hence, the volume of the rectangular prism is 3359232 cubic centimeters