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3 years ago

What does the y-intercept represent?

Mathematics

1 answer:

Sveta_85 [38]3 years ago

5 0

The y-intercept of a line is the value of y at the point where the line crosses the y axis.

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After driving 378 miles, they have used 14 gallons of gas. They have 243 miles left to drive on the trip. How much gas will they

dsp73

Answer:

9 gallon of gas

Step-by-step explanation:

When distance covered is 378 miles, they have used 14 gallons of gas

We need to find how much gas will they need to finish the trip if 243 miles left to drive on the trip.

378 miles = 14 gallons of gas

For 1 mile,

1 gallon of gas is used for $\dfrac{14}{378}\ \text{gallon of gas is used}$

For 243 miles,

$= \dfrac{14}{378}\times 243\ \text{miles}\\\\=9\ \text{gallon of gas is used}$

Hence, for 243 miles 9 gallon of gas is used.

6 0

3 years ago

The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether the per

Lina20 [59]

Answer: 0.74

Step-by-step explanation:

A= "The person is sick "

B= "The test gives a positive result"

P(A)=0.03

P(B|A)=0.92

P(B|A')=0.01

P(A')=1-P(A)=1-0.03=0.97

P(B)=P(B|A)P(A)+P(B|A')P(A')=0.92*0.03+0.01*0.97=0.0373

Based in Bayes Rule

P(A|B)=P(B|A)P(A)/P(B)=0.92*0.03/0.0373=0.74

7 0

4 years ago

Estimate the solution to the system of equations. asap, please!! I will mark for brain list

Darya [45]

Answer:

(1 $\frac{1}{3}$ , 2 $\frac{1}{3}$ )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = $\frac{20}{15}$ = $\frac{4}{3}$ = 1 $\frac{1}{3}$

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

$\frac{4}{3}$ + 2y = 6

2y = 6 - $\frac{4}{3}$ = $\frac{14}{3}$ ( divide both sides by 2 )

y = $\frac{7}{3}$ = 2 $\frac{1}{3}$

7 0

3 years ago

David drove 232 miles in 4 hours and 319 miles in 5.5 hours. What is the constant rate of change?

QveST [7]

$\bf \begin{array}{ccll}
hours&miles\\
\cline{1-2}
4&232\\
5.5&319
\end{array}~\hspace{10em}
(\stackrel{x_1}{4}~,~\stackrel{y_1}{232})\qquad
(\stackrel{x_2}{5.5}~,~\stackrel{y_2}{319})
\\\\\\
slope =
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{319-232}{5.5-4}\implies \cfrac{87}{1.5}\implies 58\frac{mi}{hrs}\impliedby \textit{rate of change}$

4 0

3 years ago

What is the solution to this inequality?

Likurg_2 [28]

Answer:

It’s D, X>-5

I’m sure I had that question and I got it right

5 0

3 years ago