Show 4/6 as the sum of unit fractions

Which of the factors of 120 are composite numbers?

Pani-rosa [81]

Answer:

Find a common prime factor in each of these pairs of numbers

a.21 and 411

6 0

3 years ago

Which geometric object is defined as the set of all points in a plane at a given distance from a given point

hodyreva [135]

Answer:

Circle

Step-by-step explanation:

This object is what we call "circle". All the points in the circle are at the same distance from a given point which is the center of the circle. Moreover, the distance between the center and every point on the circle is called "radius". Higher values for the radius imply points at a higher distance from the center.

Additionally, we can calculate the perimeter of the circle, or the circumference, with the following formula:

circumference = 2*(radius) pi

Where pi is an irrational number usually used as 3.14.

If you have doubts, try to draw a circle and measure the distance between the center and any point on the circle.

8 0

4 years ago

Please I need help with this question.<br>No 22. Is very important.<br>Thank you.

kvv77 [185]

Answer:

C. $132m^3$

Step-by-step explanation:

Height = 4

Length = 6

Breadth = 7

Note : We were asked to find volume of the cuboid

Since, it has a base in the shape of a right angle triangle , we need to find the Area of the trapezium before calculating the total volume.

Step 1

Find the area of the trapezium

Area of a trapezium = $\frac{1}{2} (a+b)h$

$\frac{1}{2} (4+7)*4$

$\frac{1}{2} (11)4\\$

$\frac{1}{2} *44\\= 22$

Step 2

Calculate the volume of the cuboid

Volume of a cuboid =length× breadth × height

In this case , the volume will be our length × Area of a trapezium

V= 6 × 22

V = $132m^3$

6 0

4 years ago

The area of a rhombus is 72 m2. One<br> diagonal is 18m. Find the other diagonal.

miskamm [114]

Answer:

Other diagonal is 8 m

Step-by-step explanation:

area of rhombus = 72 m²

½ × diagonal 1 × diagonal 2 = 72

½ × 18 × d2 = 72

9 × d2 = 72

d2 = 72/9

d2 = 8

7 0

2 years ago

In a survey of 300 T.V. viewers, 40% said they watch network news programs. Find the margin of error for this survey if we want

bixtya [17]

Answer:

Step-by-step explanation:

The formula for calculating the margin of error is expressed as;

$M.E = z * \sqrt{\frac{p*(1-p)}{n} }$ where;

z is the z-score at 95% confidence = 1.96 (This is gotten from z-table)

p is the percentage probability of those that watched network news

p = 40% = 0.4

n is the sample size = 300

Substituting this values into the formula will give;

$M.E = 1.96*\sqrt{\frac{0.4(1-0.4)}{300} }\\ \\M.E = 1.96*\sqrt{\frac{0.4(0.6)}{300} }\\\\\\M.E = 1.96*\sqrt{\frac{0.24}{300} }\\\\\\M.E = 1.96*\sqrt{0.0008}\\\\\\M.E = 1.96*0.02828\\\\M.E \approx 0.05543$

Hence, the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs is approximately 0.05543

5 0

3 years ago