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Kryger [21]
2 years ago
8

Explain how you would use mental math to solve this proportion.

Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0
You can use mental math for this equation because it is fairly easy.

You would use mental math by looking at the equation and thinking, “What is 1/75 times 1/2?” Since you want to find out what w is. Since this is mental math, you would know the answer directly, it is 1/150.

Meaning w = 1/150
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There are 160 students in the seventh grade, and 10% are in the
Julli [10]

Answer:

16

Step-by-step explanation:

Turn 10% into a decimal, so 0.1

160 x 0.1 = 16

7 0
3 years ago
Read 2 more answers
The weekly earnings of students in one age group are normally distributed with a standard deviation of 47 dollars. A researcher
ELEN [110]

Answer:

Option D) 340

Step-by-step explanation:

We are given the following in the question:

Alpha, α = 0.05

Population standard deviation, σ = $47

Margin of error = 5

95% Confidence Interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340

Thus, the correct answer is

Option D) 340

7 0
3 years ago
In the recipe,3/4 cup of white sugar makes 8 slices of pie .if you want 48 slices of pie, how much white sugar do you need
Mashutka [201]

Hi!

We will solve this using proportions, like this:

3/4 cup for 8 slices of pie

x cup for 48 slices of pie

_______________________

x = ((3/4)*48)/8

x = (3*48)/(4*8)

x = 144/32

x = 4,5

You need  4 1/2 cups of white sugar for 48 slices of pie.

Hope this helps!

8 0
3 years ago
A certain club has 20 members. What is the ratio of the number of 5-member committees that can be formed from the members of the
MissTica

Answer:

C

Step-by-step explanation:

This is a combination question.

In the first instance, we select 5 from 20 and in the second case , we select 4 from 20.

The total number of ways to solve the first instance is 20C5 = 15504 ways

The total number of ways to solve the second instance is 20C4 = 4,845

The ratio of the first to the second scenario is 15,504/4,845 = 3.2 = 16 to 5

8 0
3 years ago
The Thompson family borrowed $120,000
kolezko [41]

Answer:

27,600

Step-by-step explanation:

6 0
3 years ago
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