7x+21
need the answer for this and was wondering if anyone could help???

Thanks :)

If the probability of obtaining a score less than x = 70 is p = 0.0013, the score that corresponds to a probability of 0.0013 is x = 38.2.

We are referring to a normal distribution with a mean (µ) of 100 and a standard deviation (σ) of 20. You want to find the probability of obtaining a score less than x = 70, and you provided that the probability (p) is 0.0013. In a normal distribution with µ = 100 and σ = 20, the probability of obtaining a score less than x = 70 is p = 0.0013. Based on the information given, we know that the probability of obtaining a score less than x = 70 is p = 0.0013. This means that the z-score for x = 70 is -3.09 (found using a standard normal distribution table or calculator).

To find the z-score, we use the formula:

z = (x - µ) / σ

Plugging in the values we know:

-3.09 = (70 - 100) / 20

Solving for x:

-3.09 = (x - 100) / 20

-3.09 * 20 = x - 100

-61.8 + 100 = x

x = 38.2

Therefore, the score that corresponds to a probability of 0.0013 is x = 38.2.

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Answer:

$2009

Step-by-step explanation:

125+345+21=491

2500-491=2009

Replacing three repairers with a superworker would be cost-effective for the laundromat as the expected repair time would increase and lead to more downtime for the machines.

To determine if the laundromat should replace the three repairers with the superworker, we need to compare the expected repair time under each scenario.

With three repairers, the expected time to repair a machine is the sum of the expected time until a machine breaks down and the expected time for a repairer to fix it

E(time with three repairers) = 5 + 2.5/3 = 6.167 days.

With the superworker, the expected time to repair a machine is

E(time with superworker) = 5/6 = 0.833 days.

Therefore, on average, it takes much less time to repair a machine with the superworker than with three repairers. Since the salary of the superworker is equal to that of three repairers, the laundromat should replace the three repairers with the superworker. It is also more cost-effective.

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Answer:

cos4θ=8cos^4θ−8cos^2θ+1

Step-by-step explanation:

The Answers are given below:

A variable is an alphabet that an be assigned a number and the number is not fixed.

A variable can be stable (independent) or unstable (dependent) variable.

In conclusion, the list above is the answers for each question given.

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The probability that both are yellow is 3/10.

Using the probability method, we get

P(y1 and y2) =  P(y1) P(y2|y1)

= 3/5 x 2/4

= 6 / 20

= 3 / 10

The probability that both are yellow is 3/10.

Probability is sincerely how in all likelihood something is to manifest. each time we're uncertain approximately the final results of an occasion, we will speak about the possibilities of sure effects—how probably they're. The analysis of activities ruled by using possibility is known as statistics.

A series of actions where the outcomes are continually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a dice. occasion. It is a single final result of an experiment.

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Answer:

Martha is wrong.

Step-by-step explanation:

Let the cost of the house is C.

Payment by Ranee = 40% of the cost

=40% of C

=\(\frac{40}{100}\times C\)

=0.40 C

Payment by Susan = 0.35 of the cost

=0.35 C

Combined payment by Ranee and Susan = 0.40C + 0.35C=0.75C

The remaining payment will be done by Martha.

So, the remaining payment = C- 0.75C=0.25 C

Hence, Martha will have to pay 0.25 of the cost or 25% of the cost.

So, Martha is wrong.

Answer:

x = -2

y = 3

Step-by-step explanation:

from above equation we get ,

=》y = 3x + 9

now ,

by second equation,

=》2x + 3y = 5

=》2x + 3 × ( 3x + 9 ) = 5

( since, y = 3x + 9 , by equation 1 )

=》2x + 9x + 27 = 5

=》11x = -22

=》x = -2

putting value of x in equation 1 ;

=》 y = 3x + 9

=》 y = 3 × ( -2 ) + 9

=》 y = -6 + 9

=》 y = 3

The most accurate estimated sum of 181 and 204 is 380

The given numbers are 181 and 204

The compatible numbers are defined as the numbers that are easy to do the arithmetic operations. The arithmetic operations are addition, subtraction, division and multiplication etc.

To find the sum of the compatible numbers first we have to round the given numbers to the nearest tens or hundreds and do the the arithmetic operation

Round 181 to the nearest tens = 180

Round 204 to the nearest tens = 200

Then the sum of compatible numbers will be

180 + 200 = 380

Therefore, the most accurate estimation is 380

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1.1. The EXPREG function, the resulting model for the astronauts' heart rate is:

y ≈ 80.794 × 1.057ˣ

1.2. The estimated heart rate after 30 minutes is approximately 208.3 beats per minute.

To find a function that models the astronauts' heart rate (y) at various times (x) after finishing exercising, we can use the EXPREG function in a graphing calculator or software.

EXPREG fits an exponential function to the given data points.

Using the provided data points:

Time (x) | Heart rate (y)

0 | 82.3

2 | 87.3

8 | 91.5

10 | 94.1

12 | 98.5

16 | 106.6

20 | 112.2

The EXPREG function will provide an exponential function of the form y = a × bˣ, where 'a' and 'b' are constants.

To estimate the heart rate of the astronaut after 30 minutes, we can substitute x = 30 into the model:

y ≈ 80.794 × 1.057³⁰

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The cost of 5 pairs of shoes is 108.78 dollars.

The cost of 3 pairs of shoes is $65.27. At this price, the cost of 5 pairs of shoes can be calculated as follows:

Let's find the cost of each pair of shoes before we can get the cost of 5 pairs of shoes.

Therefore,

3 pairs of shoe = 65.27 dollars

1 pair of shoes = ?

cross multiply

cost of each pair = 65.27 / 3

cost of each pair = 21.76 dollars

Therefore, the cost of 5 pairs of shoes can be found as follows:

cost of 5 pairs of shoes = 21.76 × 5

cost of 5 pairs of shoes = 108.783333333

Therefore,

cost of 5 pairs of shoes = 108.78 dollars

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Answer:

36500

Step-by-step explanation:

There are 365 days in a year, muliplied by 100.

Answer:

36,500

Step-by-step explanation:

To find the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7, let's analyze the given information.

The sum of the second term (s2), fifth term (s5), and seventh term (s7) themselves form an arithmetic sequence.

Let's denote the second term as a + 2d, the fifth term as a + 5d, and the seventh term as a + 7d, where 'a' is the first term and 'd' is the common difference.

Using the arithmetic sequence formula for the sum of terms, we have:

s2 = (2/2) * (2a + (2-1)d) = 2a + d

s5 = (5/2) * (2a + (5-1)d) = 5a + 6d

s7 = (7/2) * (2a + (7-1)d) = 7a + 12d

Since the sums s2, s5, and s7 themselves form an arithmetic sequence, we can express their differences:

s5 - s2 = (5a + 6d) - (2a + d) = 3a + 5d

s7 - s5 = (7a + 12d) - (5a + 6d) = 2a + 6d

Now, equating the differences, we have:

3a + 5d = 2a + 6d

Simplifying the equation, we find:

a = d

Therefore, the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7 is 'd'.

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Answer:

( x+4) (x+9)

Step-by-step explanation:

x^2 + 13x + 36

What 2 numbers multiply to 36 and add to 13

4*9 = 36

4+9 = 13

( x+4) (x+9)

Answer:

( x + 4)(x + 9)

That's your answer!!

Answer:

Set the denominator to zero and solve for x.

Step-by-step explanation:

This is simply the process for finding the VA of a function. By setting the denominator to zero and solving for x, you find all values of which the function will return an undefined value (since you cannot divide by 0).

Answer:

2

Step-by-step explanation:

to solve this equation you must find what you multiply A to to equal A'

you can solve this by dividing 18 by 9

18 / 9 = 2

that is your answer

The triangles are comparable to one another if the ratio of their corresponding sides is the same. Triangles ABC, GHI, and JKL all have an approximately equal number of corresponding sides. Triangle ABC, JKL, and GHI are hence comparable to one another.

Similar triangles may not necessarily need to have equal sides, but they do require that all of the angles match.Triangles are comparable to one another if their corresponding sides have lengths that are in the same ratio.

Therefore, Triangles ABC and GHI are comparable to one another because their sides are proportional to one another.Triangles ABC and JKL have sides that are proportionate to one another, hence they resemble one another.

Triangles JKL and GHI are comparable to one another.

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Answer:

-4

Step-by-step explanation:

2a2+5a2

2(-6)2=-24

5(2)2=20

-24+20=-4

Answer: -4

Step-by-step explanation:

(2x-6×2)(5×2×2)

-24+20

-4

Squares are the numbers that are produced when a value is multiplied by itself.

If expression be \($9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\) then the value exists \($11 \sqrt{2}-5 \sqrt{7}$\).

The radical symbol for the number's root is "√" in this instance. The square of the positive number is represented by multiplying it by itself.

Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root exists a value that, when multiplied by itself, returns the original value.

The original number can be attained by multiplying the square root of an integer by itself.

Only a perfect square number can have a perfect square root. Even perfect squares have an even square root. An odd perfect square will contain an odd square root. A perfect square cannot be negative and hence the square root of a negative number exists not defined.

Let the expression be \($9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\)

Now, \($\sqrt{8}=\sqrt{2 \times 2 \times 2}=2 \sqrt{2}$\)

\($\sqrt{28}=\sqrt{2 \times 2 \times 7}=2 \sqrt{7}$\)

therefore \(9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\)

simplifying the given expression, we get

\($=9 \sqrt{2}-3 \sqrt{7}+2 \sqrt{2}-2 \sqrt{7}$\)

\($=9 \sqrt{2}+2 \sqrt{2}-3 \sqrt{7}-2 \sqrt{7}$\)

\($=11 \sqrt{2}-5 \sqrt{7}$\)

Therefore, the correct answer is option a) \($11 \sqrt{2}-5 \sqrt{7}$\)

The complete question is:

Simplify \($9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\)

a) \($11 \sqrt{2}-5 \sqrt{7}$\)

b) \($11 \sqrt{4}-5 \sqrt{14}$\)

c) \($6 \sqrt{5}$\)

d) \($6 \sqrt{9}$\)

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Answer:

a

Step-by-step explanation:

x² - 3 = 2x ( subtract 2x from both sides )

x² - 2x - 3 = 0 ← in standard form

consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

the factors are - 3 and + 1 , since

- 3 × + 1 = - 3 and - 3 + 1 = - 2 , then

x² - 2x - 3 = (x - 3)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

Answer:

200

Step-by-step explanation:

1 decameter =10,000

so 2,000,000/10000=200

Answer:

200

Step-by-step explanation:

To convert 2,000,000mm into Decameters

Formula = Divide the mm to 10,000

2,000,000/10,000 we get 200

Answer: it just depends on how much each lawn pays him

Answer:

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Step-by-step explanation:

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Answer:

the 92nd term of the arithmetic sequence is 731 because the common difference between them is 8.

Answer:

Step-by-step explanation:

The law of sines is useful. First we need to find the remaining angle.

  A + B + C = 180°

  A = 180° - B - C = 180° -50° -120°

  A = 10°

Now we can find the other two sides.

  a/sin(A) = c/sin(C)

  a = c(sin(A)/sin(C)) = 15(sin(10°)/sin(120°)) ≈ 3.00767 ≈ 3.0

  b/sin(B) = c/sin(C)

  b = c(sin(B)/sin(C)) = 15(sin(50°)/sin(120)) ≈ 13.2683 ≈ 13.3

___

The solution is A = 10°, a = 3.0, b = 13.3.

Answer:

see explanation

Step-by-step explanation:

if the denominator of a rational expression is zero then the expression will be undefined.

the numerator is the part of the rational expression that makes it zero.

solve the numerators in each to find values of x

1

\(\frac{x+6}{x-4}\)

x + 6 = 0 ( subtract 6 from both sides )

x = - 6 ← value that makes expression equal to zero

2

\(\frac{(x+4)(x-2)}{x+6}\)

(x + 4)(x - 2) = 0

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x = - 4 and x = 2 make the expression equal to zero

3

\(\frac{2x+10}{3x-12}\)

2x + 10 = 0 ( subtract 10 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5 ← value that makes expression equal to zero

Answer:

1)  x = -6

2)  x = -4  and  x = 2

3)  x = -5

Step-by-step explanation:

A rational expression is undefined when the denominator equals zero.

A rational expression equals zero when the numerator equals zero.

Given rational expression:

\(\dfrac{x+6}{x-4}\)

Set the numerator to zero and solve for x:

\(\implies x+6=0\)

\(\implies x=-6\)

Given rational expression:

\(\dfrac{(x+4)(x-2)}{x+6}\)

Set the numerator to zero:

\(\implies (x+4)(x-2)=0\)

Apply the zero-product property and solve for x:

\(\implies x+4=0 \implies x=-4\)

\(\implies x-2=0 \implies x=2\)

Given rational expression:

\(\dfrac{2x+10}{3x-12}\)

Factor the numerator and denominator:

\(\dfrac{2(x+5)}{3(x-4)}\)

Set the numerator to zero and solve for x:

\(\implies 2(x+5)=0\)

\(\implies x+5=0\)

\(\implies x=-5\)