1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gnesinka [82]
3 years ago
5

melissa’s family is driving out of state to her grandmother’s house. they know that it takes 20 gallons of gas to get there, and

the cost of three gallons of gasoline is $10.50. how much should the family budget to make the one-way trip?
Mathematics
2 answers:
Alenkasestr [34]3 years ago
8 0
20/3 * $10.50 = &70 .
Mekhanik [1.2K]3 years ago
4 0

Answer: The family budget to make the one-way trip should be $70.

Step-by-step explanation:

Given: The cost of three gallons of gasoline=$10.50

Therefore, the cost of one gallon of gasoline=\frac{10.50}{3}=\$3.5

Since, they need 20 gallons for driving out of state to her grandmother’s house.

The cost of 20 gallons of gasoline = 20*3.5=\$70

Therefore, The family budget to make the one-way trip should be $70.

You might be interested in
Consider a discrete random variable x with pmf px (1) = c 3 ; px (2) = c 6 ; px (5) = c 3 and 0 otherwise, where c is a positive
PtichkaEL [24]
Looks like the PMF is supposed to be

\mathbb P(X=x)=\begin{cases}\dfrac c3&\text{for }x\in\{1,5\}\\\\\dfrac c6&\text{for }x=2\\\\0&\text{otherwise}\end{cases}

which is kinda weird, but it's not entirely clear what you meant...

Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

\displaystyle\sum_{x\in\{1,2,5\}}\mathbb P(X=x)=\dfrac c3+\dfrac c6+\dfrac c3=\dfrac{5c}6=1\implies c=\dfrac65

Next,

\mathbb P(X>2)=\mathbb P(X=5)=\dfrac c3=\dfrac25

\mathbb E(X)=\displaystyle\sum_{x\in\{1,2,5\}}x\,\mathbb P(X=x)=\dfrac c3+\dfrac{2c}6+\dfrac{5c}3=\dfrac{7c}3=\dfrac{14}5

\mathbb V(X)=\mathbb E\bigg((X-\mathbb E(X))^2\bigg)=\mathbb E(X^2)-\mathbb E(X)^2
\mathbb E(X^2)=\displaystyle\sum_{x\in\{1,2,5\}}x^2\,\mathbb P(X=x)=\dfrac c3+\dfrac{4c}6+\dfrac{25c}3=\dfrac{28c}3=\dfrac{56}5
\implies\mathbb V(X)=\dfrac{56}5-\left(\dfrac{14}5\right)^2=\dfrac{84}{25}

If Y=X^2+1, then X^2=Y-1\implies X=\sqrt{Y-1}, where we take the positive root because we know X can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that Y can take on the values 1^2+1=2, 2^2+1=5, and 5^2+1=26. At these values of Y, we would have the same probability as we did for the respective value of X. That is,

\mathbb P(Y=y)=\begin{cases}\dfrac c3&\text{for }y=2\\\\\dfrac c6&\text{for }y=5\\\\\dfrac c3&\text{for }y=26\\\\0&\text{otherwise}\end{cases}

Part (5) is incomplete, so I'll stop here.
8 0
3 years ago
HELP ME WITH THIS PLZZZZ​
CaHeK987 [17]
Answer: 17

It’s 17 because they are the same shape and size just are flipped
5 0
2 years ago
A line contains (4,2) and (0,-1). What is the equation line?
densk [106]
The answer is B. Y= 3/4x-1
7 0
3 years ago
Read 2 more answers
PLS HELP !!! U WILL GET 13 POINTS AND BRAINLIEST !!THIS IS A TEST AND I NEED TO SHOW WORK PLS PLS HELP AND ONLY ANSWER IF U KNOW
erastova [34]

Answer:

This should be parallel.

Step-by-step explanation:

Two lines are said to be parallel only if their slope matches. They are said to be perpendicular only if the slopes are negative reciprocals.

Here, you should put both equations in slope intercept form which is y=mx+b. The letter "M" represents the slope of both equations.

2y-6=3x+4 turns into 2y=3x+10 after adding 6 and into y=3/2x+5 after dividing the equation by 2. The slope for this equation is 3/2.

8y=12x+8 must be divided by 8 to be in slope intercept form. This equation becomes y=3/2x+1. Here the slope is also 3/2.

The slopes for each equation match making these lines parallel.

4 0
3 years ago
The number 1 through 7 are written in separate slips of paper,and the slips are placed into a box.Then,4 of these slips are draw
Bad White [126]

Answer:

0.0011904

Step-by-step explanation:

Given that:

Number of slips = 7

Sample space = (1, 2, 3, 3, 5, 6, 7)

Numbwe of slips drawn = 4

Probability = required outcome / Total possible outcomes

Note ; selection is without replacement ;

P(drawing 1) = 1 /7

P(drawing 2) = 1 /6

P(drawing 3) = 1/5

P(drawing 4) = 1/4

1/7 * 1/6 * 1/5 * 1/4 = 0.0011904

6 0
2 years ago
Other questions:
  • If y varies inversely as x, and y=10 when x=2, find y when x=8
    5·2 answers
  • Please help! Which of the following is an example of an open equation? 5x+7=12 12+(-8)=4 25=5(5) 8+0=8
    5·2 answers
  • 4200 fans increased by 0.5
    8·2 answers
  • Plz help me asap plz i need help
    7·1 answer
  • Simplify:<br> (h2)5<br> A) h-3 <br> B) h3 <br> C) h7 <br> D) h10
    15·2 answers
  • marvin buys a hose 27 3/4 feet long he already owns a hose at home that is 2/3 the length of the new hose. how many total yards
    7·2 answers
  • The perimeter of the triangle shown below is 44 centimeters. Find the value of x.
    11·1 answer
  • Javier recibe $8.10 USD por cada pagina que traduce del español a l ingles. El mes pasado recibió un pago total de $550.8 USD. ¿
    12·1 answer
  • Evaluate 1 + (-2/3) - (-m) where m = 9.2.
    11·2 answers
  • Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!