Combine like terms to simplify. 5z + 3z

If p=5 and q=6, evaluate the following expression:2p+3q/4

suter [353]

Answer:

7

Step-by-step explanation:

Substitute in numbers : 2(5)+3(6) /4

Combine Like Terms : 10+18/4 = 28/4

Answer : 7

8 0

2 years ago

the base of this right prism is an equilateral triangle. the approximate height of the base is 15.6 cm. what is the approximate

Andrew [12]

Hello!

To find the surface area you can divide the prism into the 2D shapes it is made of

First list out all the shapes

2 triangles with bases of 18 and heights of 15.6
3 rectangles with side lengths of 20 and 18

First find the area of the triangles

The equation to find the area of a triangle is

$A = \frac{hb}{2}$

A is area
h is height
b is base

Put in the values you know

$A = \frac{18 * 15.6}{2}$

Solve

A = 140.4

The triangles have an area of 140.4 units

Next we find the area of a the rectangles

To do this we multiply the sides

18 * 20 = 360

The rectangles have areas of 360 units

Now we add all the areas

There are 2 triangles and 3 rectangles

140.4 + 140.4 + 360 + 360 + 360 = 1360.8

The answer is B) 1360.8cm squared

Hope this helps!

6 0

3 years ago

Express the null hypothesis and the alternative hypothesis in symbolic form that would be used for a hypothesis test. A psycholo

deff fn [24]

Answer:

Null Hypothesis

H₀ : P = 3.8

Alternative Hypothesis

H₁: P > 3.8

Step-by-step explanation:

Explanation:-

Null Hypothesis :-

The single statistic, H₀ will be that the sample statistic

H₀ : There is does not differ significantly from hypothetical parameter values

H₀ : P = 3.8

Alternative Hypothesis:

The statistic , H₁ will be the sample statistic

H₁: There is differ significantly from hypothetical parameter values

H₁: P > 3.8

7 0

2 years ago

A die is thrown. Describe the following events: (i) A: a number less than 7 (ii) B: a number greater than 7 (iii) C: a multiple

netineya [11]

A: The probability of a number rolling less than 7 is 100% or 1 because a dice only has numbers 1,2,3,4,5, and 6. 1,2,3,4,5, and 6 are all less than 7 so you are guaranteed to roll a number less than 7.

B: The probability of a number rolling more than 7 is 0% or 0 because a dice only has numbers 1,2,3,4,5, and 6. 1,2,3,4,5, and 6 are all less than 7 so it's not possible to roll a number more than 7.

C: The probability of a number rolling to be a multiple of three is 33.33(repeating)% or 1/3. Out of 1,2,3,4,5, and 6, the multiples of 3 are, 3 and 6. 3 and 6 is two numbers out of six numbers. 2 out of 6 simplifies to 1 out of 3.

D: The probability of a number rolling to be less than 4 is 50% of 1/2. Out of the numbers, 1,2,3,4,5, and 6, only 1,2, and 3 are less than 4. 1,2, and 3 is three numbers out of six numbers. 3 out of 6 simplifies to 1 out of 2.

E: The probability of a number rolling to be an even number greater than 4 is 0.166(repeating) or 1/6. Out of the numbers, 1,2,3,4,5, and 6, 2,4, and 6 are even numbers. Out of 2,4, and 6, only 6 is greater than 4. 4 is one number out of 1,2,3,4,5, and 6 (six numbers).

F: The probability of a number rolling to be a number not less than 3 is 50% or 1/2. "Not less than" actually means greater than. In the numbers, 1,2,3,4,5, and 6, only 4,5, and 6 are greater than 3. 4,5, and 6 are three numbers. 3 out of 6 simplifies to 1 out of 2.

I don't really know the answer to the last question but anyways I hope this helped! ♡

❀ Have a good day! ❀

8 0

3 years ago

What is the sum of the measures of the exterior angles of a 53-gon

scoray [572]

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon = 360°

8 0

3 years ago

Combine like terms to simplify. 5z + 3z - 1/2y+ 2y