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Aliun [14]
3 years ago
11

Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly wha

t the solution to the inequality means in the context of this situation.
Mathematics
1 answer:
marta [7]3 years ago
7 0

Answer:

0.6x < 12.5

x < 20.83 days

Step-by-step explanation:

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality that represents the number of days Diego's father can drive the car without the warning light coming on. Explain each part of your inequality

Car fuel capacity = 14 gallons

Fuel capacity that shows warning light = 1.5 gallons

Fuel capacity without warning light = Car fuel capacity - Fuel capacity that shows warning light

= 14 gallons - 1.5 gallons

= 12.5 gallons

Fuel used per day = 0.6 gallons

Let

x = number of days Diego's father can drive the car without the warning light coming on

The inequality is

0.6x < 12.5

Solve for x

x < 12.5/0.6

x < 20.83 days

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Can someone help me with this question?
belka [17]

Answer:

The required probability is 0.0155.

Step-by-step explanation:

We are given that the one-year survival rate for pancreatic cancer is 20%.

Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.

The above situation can be represented through binomial distribution;

P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......

where, n = number of trials (samples) taken = 12 people

            r = number of success = 6 survived

            p = probability of success which in our question is probability of

                  one-year survival rate for pancreatic cancer, i.e; p = 20%

Let X = <u><em>Number of people survived one year</em></u>

So, X ~ Binom(n = 12 , p = 0.20)

Now, the probability that 6 survived one year is given by = P(X = 6)

              P(X = 6)  =  \binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}

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5 0
3 years ago
Araine borrows $400 on a 4-year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years?
DiKsa [7]

Answer:

Interest Charged = $80

Total payback = $480

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Present Value (PV) = $400

Time period (n) = 4 years

Interest rate (r) = 5%

So, we can calculate the future value(FV), by using following formula,

FV = PV ( 1 + n × r)

By putting the value, we get

FV = $400 ( 1 + 4 × 0.05)

= $480

Hence total amount she has to pay back = $480.

Interest charged = FV - PV

= $480 - $400

=$80

5 0
3 years ago
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