Solve the system of linear equations by substitution.Check your solution.

Answer:

$56.10

Step-by-step explanation:

Answer:

$8.50

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Percentage discount

[tex] = \frac{discount}{original \: price} \times 100\% \\ = \frac{90 - 79.20}{90} \times 100\% \\ = 12\%[/tex]

☆ Discount= original price -marked price

Answer:

(f o h)(-5)=-33

Step-by-step explanation:

Let f(x) = 4x - 1, h(x) = - X-3.

(f o h)=4(-x-3)-1

(f o h)=-4x-12-1

(f o h)=-4x-13

(f o h)(-5)=-4(-(-5))-13

(f o h)(-5)=-20-13

(f o h)(-5)=-33

Answer:

[tex]P(X > 11) = 0.368[/tex]

[tex]P(X > 22) = 0.135[/tex]

[tex]P(X > 33) = 0.050[/tex]

[tex]x = 33[/tex]

Step-by-step explanation:

Given

[tex]E(x) = 11[/tex] --- Mean

Required (Missing from  the question)

[tex](a)\ P(X>11)[/tex]

[tex](b)\ P(X>22)[/tex]

[tex](c)\ P(X>33)[/tex]

(d) x such that [tex]P(X <x)=0.95[/tex]

In an exponential distribution:

[tex]f(x) = \lambda e^{-\lambda x}, x \ge 0[/tex] --- the pdf

[tex]F(x) = 1 - e^{-\lambda x}, x \ge 0[/tex] --- the cdf

[tex]P(X > x) = 1 - F(x)[/tex]

In the above equations:

[tex]\lambda = \frac{1}{E(x)}[/tex]

Substitute 11 for E(x)

[tex]\lambda = \frac{1}{11}[/tex]

Now, we solve (a) to (d) as follows:

Solving (a): P(X>11)

[tex]P(X > 11) = 1 - F(11)[/tex]

Substitute 11 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X > 11) = 1 - (1 - e^{-\frac{1}{11}* 11})[/tex]

[tex]P(X > 11) = 1 - (1 - e^{-\frac{11}{11}})[/tex]

[tex]P(X > 11) = 1 - (1 - e^{-1})[/tex]

Remove bracket

[tex]P(X > 11) = 1 - 1 + e^{-1}[/tex]

[tex]P(X > 11) = e^{-1}[/tex]

[tex]P(X > 11) = 0.368[/tex]

Solving (b): P(X>22)

[tex]P(X > 22) = 1 - F(22)[/tex]

Substitute 22 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X > 22) = 1 - (1 - e^{-\frac{1}{11}* 22})[/tex]

[tex]P(X > 22) = 1 - (1 - e^{-\frac{22}{11}})[/tex]

[tex]P(X > 22) = 1 - (1 - e^{-2})[/tex]

Remove bracket

[tex]P(X > 22) = 1 - 1 + e^{-2}[/tex]

[tex]P(X > 22) = e^{-2}[/tex]

[tex]P(X > 22) = 0.135[/tex]

Solving (c): P(X>33)

[tex]P(X > 33) = 1 - F(33)[/tex]

Substitute 33 for x in [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X > 33) = 1 - (1 - e^{-\frac{1}{11}* 33})[/tex]

[tex]P(X > 33) = 1 - (1 - e^{-\frac{33}{11}})[/tex]

[tex]P(X > 33) = 1 - (1 - e^{-3})[/tex]

Remove bracket

[tex]P(X > 33) = 1 - 1 + e^{-3}[/tex]

[tex]P(X > 33) = e^{-3}[/tex]

[tex]P(X > 33) = 0.050[/tex]

Solving (d): x when [tex]P(X <x)=0.95[/tex]

Here, we make use of:

[tex]P(X<x) = F(x)[/tex]

Substitute [tex]F(x) = 1 - e^{-\lambda x}[/tex]

[tex]P(X<x) = 1 - e^{-\lambda x}[/tex]

So, we have:

[tex]0.95 = 1 - e^{-\lambda x}[/tex]

Subtract 1 from both sides

[tex]0.95 -1= 1-1 - e^{-\lambda x}[/tex]

[tex]-0.05=- e^{-\lambda x}[/tex]

Reorder the equation

[tex]e^{-\lambda x} = 0.05[/tex]

Substitute 1/11 for [tex]\lambda[/tex]

[tex]e^{-\frac{1}{11} x} = 0.05[/tex]

Solve for x:

[tex]x = -\frac{1}{1/11}\ ln(0.05)[/tex]

[tex]x = -11\ ln(0.05)[/tex]

[tex]x = 32.9530550091[/tex]

[tex]x = 33[/tex] --- approximated

Answer:

20h + 10

Step-by-step explanation:

16h + 10 + 4h

The like terms in this expression are 16h and 4h

20h + 10

Hope this helps! May I please have brainliest? :)

Answer:

26.8875

Step-by-step explanation:

Answer:

You will spend $26.98875 on gasoline

Answer:

86 %

Step-by-step explanation:

If Melinda got 52/60 points, we must divide 52 by 60, which is about 86.

Answer:

3/10

Step-by-step explanation:

3/5 - 3/10 = 6/10 - 3/10 = 3/10

Answer:

C=8

Step-by-step explanation:

   6c-9d=111

-) 5c-9d=103

   6c-5c=c

-9c+9c=0

111-103=8

(Negative+Negative=Positive)

          C=8

I need Brainliest!

Answer:

As the givens set μ has 24 elements.

Therefore,

Step-by-step explanation:

Given

μ = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

As the counting numbers are less than 25.

Thus, the set μ is:

μ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}

We know that cardinality of the set is the number of elements in a given set.

As the givens set μ has 24 elements.

Therefore,

Answer:

473.2608 rounded to the nearest tenth Is 473.3

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

you simply do 15 ÷ .25, which you will get 60.

Answer:

60 1/4 pieces

Step-by-step explanation:

Multiply 15 x 1/4 = 60 pieces

Answer:

Step-by-step explanation:

2

the stick number is a knot invariant that intuitively gives the smallest number of straight "sticks" stuck end to end needed to form a knot. Specifically, given any knot K, the stick number of K, denoted by stick (K), is the smallest number of edges of a polygonal path equivalent to K.

===========================================================

Explanation:

1/3 converts to the decimal form 0.333333... where the 3's go on forever

5/3 is a similar story but 5/3 = 1.666666.... where the '6's go on forever

The notation [tex]0.\overline{6}[/tex] indicates that the 6's go on forever.

So, [tex]0.\overline{6} = 0.666666\ldots[/tex]

The horizontal bar tells us which digits repeat. As another example, [tex]0.\overline{123} = 0.123123123123\ldots[/tex]

The three dots just mean "keep this pattern going forever".

----------

Everything mentioned so far has the decimal portions go on forever repeating some pattern over and over.

The only one that doesn't do this is 33% which converts to the decimal form 0.33

The value 0.33 is considered a terminating decimal since "terminate" means "stop". So this is the value that doesn't fit in with the other three items mentioned.

Answer:

Step-by-step explanation:

f(-2) = (-2)^2 - (-2)^3

      = 4 - (-8)

      = 4 + 12

       = 16

Answer:

x^2-5x=6

x^2-5x-6=0

x^2+x-6x-6=0

x(x+1)-6(x+1)=0

(x-6)(x+1)=0

x=6, -1

-5x= -30, 5

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

more than a number = addition

so it is D because the end result has to be 33.

Step-by-step explanation:

Hope this helped!

Answer:

19.6 miles

Step-by-step explanation:

All you have to do is add up by each number for example 5.6+3 miles is 8.6 miles so just keep adding up the miles to get this answer

Answer:

huh?

Step-by-step explanation:

If D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.

A mathematical comparison of two numbers is known as proportion. If two sets of given numbers increase or decrease in the same ratio, the ratios are said to be directly proportional to each other, according to proportion.

Given that D varies jointly with w and p. Then it can be written as

D ∝ w × p ...(1)

Again D varies inversely with u.

Then, D ∝ 1/u ...(2)

From (1) and (2), D ∝ (wp)/u ...(3)

We can take k as the constant of proportionality.

So, (3) becomes, D = k(wp/u) = (kwp)/u

Therefore, if D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.

Learn more about proportionality here -

https://brainly.com/question/12809482

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Answer:

quiero

Step-by-step explanation:

Answer:

B. 100 degrees

Step-by-step explanation:

Answer:

$42.50

Step-by-step explanation:

$42.50 will cover the costs of all people who request full refunds, while still allowing the company to profit.

The average cost the retailer should expect to pay to each customer if It estimates that 60% of customers never make a claim is $4250.

The average is a numeric figure that represents a big amount of data in a single way. The average mark of the class is calculated by averaging the students' grades in a given subject.

It is more important to understand how the class as a whole performed than how each individual student performed.

Given:

It estimates that 60% of customers never make a claim, 25% require a small repair costing an average of $50 and 15% require a full refund costing $200,

Calculate the average cost as shown below,

Assume there are 100 customers, then,

The average cost = 25% of 100 × 50 + 15% of 100 × 200

The average cost = 25 × 50 + 15 × 200

The average cost = 1250 + 3000

The average cost = 4250

Thus, the average cost the retailer should expect to pay to each customer is $4250.

To know more about average:

https://brainly.com/question/28123159

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Answer: false

Step-by-step explanation:

Answer:

I chose 7 as the base and 2 as the Exponent

Step-by-step explanation:

7^2 . 7 is the base and 2 is the Exponent.

Standard Form: 7^2

Expanded Form : 7 • 7 = 49

Answer:

3

Step-by-step explanation:

Answer:

3/9ths

Step-by-step explanation: