What number is 80% of 90%?

Bob traveled 90 miles which was 83 1 3 % of his trip. How long was the trip?

lina2011 [118]

Total journey of bob was 108 miles .

Step-by-step explanation:

Here we have , Bob traveled 90 miles which was 83 1 3 % of his trip. We need to find How long was the trip .Let's find out:

According to question , Bob has traveled a distance of :

⇒ $Distance = 90miles$

Which is $83\frac{1}{3}\%$ of his journey . So , Let total miles be x , So we have following equation framed according to question as :

⇒ $\frac{83\frac{1}{3} x}{100} =90$

⇒ $\frac{83\frac{1}{3} x}{100}(100) =90(100)$

⇒ $\frac{83(3)+1}{3} x=90(100)$

⇒ $\frac{250}{3} x=9000$

⇒ $x=9000(\frac{3}{250} )$

⇒ $x=108miles$

Therefore , Total journey of bob was 108 miles .

6 0

3 years ago

Refer to the Exhibit Student Grades. The professor has informed the class that 7.93 percent of her students received grades of A

Marta_Voda [28]

This question is incomplete, the complete question is;

Refer to the Exhibit Student Grades. A professor at a local university noted that the grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.

The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A

Answer:

the minimum score needed to receive a grade of A is 88.51

Step-by-step explanation:

Given the data in the question;

Let x represent the grades of the students that were normally distributed with mean μ = 73 and standard deviation σ = 11.

so, The professor has informed the class that 7.93 percent of her students received grades of A

the minimum score needed to receive a grade of A will be:

P( X > x ) = 7.93 %

P( X > x ) = 0.0793

1 - P( X ≤ x ) = 0.0793

- P( X ≤ x ) = 0.0793 - 1

- P( X ≤ x ) = - 0.9207

P( X ≤ x ) = 0.9207

⇒ P( X-μ/σ ≤ x-μ/σ ) = 0.9207

so, x-μ/σ = InvNormal( 0.9207 )

x-μ/σ = 1.41

(x - 73) / 11 = 1.41

(x - 73) = 1.41 × 11

(x - 73) = 15.51

x = 15.51 + 73

x = 88.51

Therefore, the minimum score needed to receive a grade of A is 88.51

7 0

2 years ago

Right triangles 1-2 and 3 are given with all their angle measures and approximate side lengths.

Harman [31]

Answer:

0.34

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Why does.the equation y=3x+5 NOT represent a proportional relationship

sergiy2304 [10]

Answer:

The equation not represent a proportional relationship because the line don't passes through the origin

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

so

In this problem we have

$y=3x+5$

This is the equation of the line in slope intercept form

where

the slope is m=5

the y-intercept is b=5

Remember that in a proportional relationship the value of b must be equal to zero (because the line passes through the origin)

therefore

The equation not represent a proportional relationship because the line don't passes through the origin

5 0

3 years ago

A straight line has gradient -2 and passes through the point (-3 , 10).

Aleksandr-060686 [28]

Answer:

y = 4 - 2x

Step-by-step explanation:

That is the formula, in y = a + mx but it you want it in y = mx+c, it is y = -2x + 4

8 0

1 year ago

What number is 80% of 90%?​

What number is 80% of 90%?