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3 years ago

The cost for Dana and Courtney's lunch is $24. If they want to leave a

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

7 0

<h3>Total cost of their lunch, including the tip is $ 27.6</h3>

Solution:

The cost for Dana and Courtney's lunch is $24

They want to leave a 15% tip

To find: total cost of their lunch, including the tip

Find the tip amount

Tip amount = 15 % of 24

$Tip\ amount = \frac{15}{100} \times 24\\\\Tip\ amount = 0.15 \times 24\\\\Tip\ amount = 3.6$

what is the total cost of their lunch, including the tip?

Total cost = cost of lunch + tip amount

Total cost = 24 + 3.6

Total cost = 27.6

Thus total cost of their lunch, including the tip is $ 27.6

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Find solution to the system of linear equations. 5x1 + x2 = 0 , 25x1 + 5x2 = 0

Zigmanuir [339]

Answer:

the system of equation has infinite solution

Step-by-step explanation:

$5x_1 + x_2 = 0$ , $25x_1 + 5x_2 = 0$

Solve the first equation for x_2

Subtract 5x1 on both sides

$5x_1 + x_2 = 0$

$x_2 =-5x_1$

Now substitute -5x1 on second equation

$25x_1 + 5x_2 = 0$

$25x_1 + 5(-5x_1)= 0$

$25x_1-25x_1= 0$

0=0

So the system of equation has infinite solution

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3 years ago

Read 2 more answers

Select Exponential growth or Exponential decay for each function.

Lena [83]

Answer:

f(x)=(1.023) ⋅ 3^x Growth

f(x)=3 ⋅ (0.072)^x Decay

f(x)=4 ⋅ (0.035)^x Decay

f(x)=2 ⋅ (1.34)^x Growth

Step-by-step explanation:

An exponential function at its heart has a base number of rate. If the rate is less than 1, then the function decays. If the base number or rate is greater than 1, then the function grows and increase.

f(x)=(1.023) ⋅ 3^x Rate 3 - Growth

f(x)=3 ⋅ (0.072)^x Rate 0.072 - Decay

f(x)=4 ⋅ (0.035)^x Rate 0.035 - Decay

f(x)=2 ⋅ (1.34)^x Rate 1.34 - Growth

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3 years ago

Question:

faltersainse [42]

Answer:

The probability that a ship that is declared defecive is sound is 0.375

Step-by-step explanation:

Let P(A|B) denote the conditional probability of A given B. We will make use of the equation

P(A|B) = P(A) × P(B|A) / P(B)

We have the probabilities:

P(Declared Defective (detected) | Defective) = 0.95

P(not Detected | Defective) = 1-0.95=0.05

P(Declared Sound | Sound) = 0.97

P(Declared Defective |Sound) = 1-0.97=0.03

P(Defective)=0.05

P(Sound)= 1- 0.05 = 0.95

We can calculate:

P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076

P(S | Declared Defective) =

(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)

=0.95×0.03 /0.076 =0.375

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2 years ago

Could someone help me answer? I give the crown plz

Katen [24]

Answer:

they are different

Step-by-step explanation:

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3 years ago

Write a linear function F with the values F(-9)=8 and F (0) =1

Fiesta28 [93]

Given:

The values of a linear function are $F(-9)=8$ and $F(0)=1$ .

To find:

The linear function.

Solution:

If a linear function passes through two points, then the equation of the linear function is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The values of a linear function are $F(-9)=8$ and $F(0)=1$ . It means the function passes through the points (-9,8) and (0,1). So, the equation of the linear function is:

$y-8=\dfrac{1-8}{0-(-9)}(x-(-9))$