5. A college student would like to purchase a ticket to the Olympics 100-meter men's race.
The average cost is $1,200 (this is real life). The student has already saved $500 from
their fast food job. They get paid $12 an hour.
a.
Write an inequality that shows how many hours the student will need to work to earn
more than $1,200.

Answer:

The probability is  [tex]P(\= X < 40.4) = 0.84134[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu =40 \ \Omega[/tex]

   The standard deviation is  [tex]\sigma = 2 \ \Omega[/tex]

   The sample size is  n = 25

    The combined resistance is   [tex]\sum x_i = 1010 \ \Omega[/tex]

Generally the sample mean is mathematically represented as

      [tex]\= x = \frac{\sum x_i }{n}[/tex]

=>   [tex]\= x = \frac{1010 }{25}[/tex]

=>   [tex]\= x = 40.4 \ \Omega[/tex]

Generally the standard error of the mean is mathematically represented as

     [tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]\sigma_{x} = \frac{ 2 }{\sqrt{25} }[/tex]

=>  [tex]\sigma_{x} = 0.4[/tex]

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

       [tex]P(\= X < 40.4) = P( \frac{\= X - \mu }{\sigma_{x }} < \frac{ 40.4 - 40 }{0.4} )[/tex]

[tex]\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )[/tex]

    [tex]P(\= X < 40.4) = P( Z < 1 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1 is

     [tex]P(\= X < 40.4) = P( Z < 1 ) = 0.84134[/tex]

     [tex]P(\= X < 40.4) = 0.84134[/tex]

Answer: i love you

Step-by-step explanation: i liked all of yours

Answer:

A) The area of the flower bed is larger than 8 square feet

Step-by-step explanation:

This is the answer, hope it helps!

The possible answer is the first choice because thats how you  do a equation

The first equation should be multiplied by 2 and the second equation by 3 and then we can add since the sign are different,.

Given the system of equations

4x − 3y = 34

3x + 2y = 17

In order to eliminate, the first equation should be multiplied by 2 and the second equation by 3 and then we can add since the sign are different,.

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Answer:

5cm I think I am not sure

Answer:

[tex]94 + 49i[/tex]

Step-by-step explanation:

Given

[tex]2 + \sqrt{-121[/tex] and [tex]3 + \sqrt{-64[/tex]

Required

Determine the products

We have:

[tex](2 + \sqrt{-121}) * (3 + \sqrt{-64})[/tex]

Factorize:

[tex]2(3 + \sqrt{-64}) + \sqrt{-121} (3 + \sqrt{-64})[/tex]

Open Brackets

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{-121} *\sqrt{-64}[/tex]

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{-121*-64}[/tex]

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{7744}[/tex]

Expand the expression in square roots

[tex]6 + 2\sqrt{-1 * 64}+ 3\sqrt{-1 * 121} + \sqrt{7744}[/tex]

Split roots

[tex]6 + 2\sqrt{-1} * \sqrt{64}+ 3\sqrt{-1} * \sqrt{121} + \sqrt{7744}[/tex]

Take positive square roots of 64, 121 and 7744

[tex]6 + 2\sqrt{-1} * 8+ 3\sqrt{-1} * 11 + 88[/tex]

[tex]6 + 16\sqrt{-1}+ 33\sqrt{-1}+ 88[/tex]

Collect Like Terms

[tex]88 + 6 + 16\sqrt{-1}+ 33\sqrt{-1}[/tex]

[tex]94 + 49\sqrt{-1}[/tex]

A complex number in standard form is:

[tex]a + bi[/tex]

Where

[tex]i = \sqrt{-1[/tex]

So:

[tex]94 + 49\sqrt{-1}[/tex]

=

[tex]94 + 49i[/tex]

Hence:

The product of [tex]2 + \sqrt{-121[/tex] and [tex]3 + \sqrt{-64[/tex] is  [tex]94 + 49i[/tex]

Answer: Adam,

Step-by-step explanation:

Can you repeat this question in  a spectacular fashion

Answer:

80

Step-by-step explanation:

80

angle a = angle s

amr and msr are similar triangles

Answer:

Simple question!

Step-by-step explanation:

I'm never challenged in school, could you send me your hw each day?

Email ivaliu2008+outlook.com

Also, what grade are you?

Thanks!

Answer:

Step-by-step explanation:461.6

See Below

First, put them into y = mx + b form. From there you can graph them by identifying their slopes and y-intercepts.

Answer:

33. (-2,0) (0,1)

34. (-2,0) (0,6)

Step-by-step explanation:

First, put them into y = mx + b form. From there you can graph them by identifying their slopes and y-intercepts.

Answer:

98

Step-by-step explanation:

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

There are two ways to find the answer

-----------------------

Method 1

Multiply the length and width by the scale factor

10*3.5 = 35

4*3.5 = 14

The new larger rectangle is 35 inches by 14 inches

Add up the four sides: 35+14+35+14 = 98

The perimeter of the larger rectangle is 98 inches

-----------------------

Method 2

We can use the formula P = 2(L+W) to get the perimeter of the original rectangle

P = 2(10+4)

P = 2*14

P = 28

The original rectangle has perimeter 28 inches.

Or you could note how 10+4+10+4 = 28

Multiply this with the scale factor to get 28*3.5 = 98 inches

Answer:

$85

Step-by-step explanation:

Answer:

the new amount would be $85

Step-by-step explanation:

you do $65 and add 20 because it increased 20

can you please mark me brainlest I would mean a lot

Answer:

12

Step-by-step explanation:

5+3+4=?

8+4=?

12

Answer:

y-7=-11(x-5)

Step-by-step explanation:

y-Y^1=mx-X^1

The solution is,

R V

1  9π in³

2  36π in³

3  81π in³

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

For, r = 1

V = π(1)²9

  = 9π in³

For, r = 2

V = π(2)²9

  = 4*9π in³

  = 36π in³

For r = 3

V = π(3)²9

  = 9*9π in³

  = 81π in

The solution is,

R V

1  9π in³

2  36π in³

3  81π in³

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Answer:

[tex]\mathbf{V = \dfrac{2}{3}}[/tex]

Step-by-step explanation:

Consider the tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 2

Let A be the region obtained by projecting the volume(V) onto the xy-plane.

Similarly, the plane 2x + y + z = 2 intersects with the xy-plane in y = 2 - 2x.

Using the vertical strips, the region A is to the xy-plane can be expressed as:

[tex]A = \{(x,y) | 0 \le x \le 1, 0 \le y \le 2 - 2x\}[/tex]

Thus, the volume of the solid can be calculated as follows;

[tex]V = \int^1_0 \int ^{2-2x}_{0} \int ^{2-2x-y}_{0} \ dz \ dy \ dx[/tex]

[tex]V = \int^1_0 \int ^{2-2x}_{0} (2-2x-y) \ dy \ dx[/tex]

[tex]V = \int^1_0 \bigg [2\times y -2x\times y - \dfrac{y^2}{2} \bigg]^{2-2x}_{0} \ dx \[/tex]

[tex]V = \int^1_0 \bigg [2\times (2-2x) -2x\times (2-2x) - \dfrac{(2-2x)^2}{2} \bigg]\ dx[/tex]

[tex]V = \int^1_0 \bigg [2x^2-4x+2 \bigg]\ dx[/tex]

[tex]V = \bigg [2\dfrac{x^3}{3}-\dfrac{4x^2}{2}+2 x\bigg]^1_0[/tex]

[tex]V = \bigg [2\dfrac{(1)^3}{3}-\dfrac{4(1)^2}{2}+2 (1)-0\bigg][/tex]

[tex]V = \dfrac{2}{3}- 2 + 2[/tex]

[tex]\mathbf{V = \dfrac{2}{3}}[/tex]

Answer:

d

Step-by-step explanation:

it goes with the correct statements in the sentences it is the right symbol and has the variable for the unknown amount of devices

Given :

A complex number z = 10 - 13i .

To Find :

Which  quadrant will the complex number (10 - 13i) be  found.

Solution :

Coefficient of real part of complex number, r = 10.

Coefficient  of imaginary part of complex number, i = -13.

Since, the coefficient of imaginary part is -ve and real part is +ve .

Therefore, the complex number is in 4th quadrant.

Hence, this is the required solution.

When graphing on the complex plane, the complex number will be in the 4th quadrant.

The standard form of expressing complex numbers is expressed z = x + iy

x is the real axis (x-axis on the coordinate point)

y is the imaginary axis (y-axis on the coordinate plane)

Given the complex number z = 10 - 13i, this shows that the imaginary axis is a negative value while the real axis is a positive value.

This shows that when graphing on the complex plane, the complex number will be in the 4th quadrant.

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Answer:

your right it's -5

Step-by-step explanation:

Answer:

15 nights

Step-by-step explanation:

187+26n=577

-187          -187

     26n=390

divide 26 on both sides

         n=15

I have attached an image showing the complete question with the answer options.

Answer:

Option C: y = (3/6)x

Step-by-step explanation:

We are told that the constant of proportionality is 1/2.

Now, in constant of proportionality we use the formula;

y = kx

Where k is the constant of proportionality.

Thus the equation is;

y = ½x

Now, since ½ is a reduced form, we can write ½ as 2/4 or 3/6 and so on.

From the options, we see an equation with; y = (3/6)x

Thus,it's the correct one as when broken down, 3/6 gives ½

Answer:

−6x+7x+14=3

x = -11

X had the same value so it can perform its calculations. Integers without any variable can perform its calculations also.

Thank you and please rate me as brainliest as it will help me

Answer:

The answer should be B

Step-by-step explanation:

Because all the y-intercepts are negative, so when you divide by the x-intercepts you will always land up with a negative.

33.3% is the answer, I think

20/60 ---> 1/3, covert this to a percentage and it equals 33.3%

x = 5/3

x = - 5/3

i believe this is the answer

Answer:

B. 12

Step-by-step explanation:

Based on the centroid theorem,

[tex] BP = \frac{2}{3}(BF) [/tex].

BP = 8

Plug in the value of BP into the equation and find the value of BF.

[tex] 8 = \frac{2}{3}(BF) [/tex]

[tex] 8 = \frac{2*BF}{3} [/tex]

Cross multiply

[tex] 8*3 = 2*BF [/tex]

[tex] 24 = 2*BF [/tex]

Divide both sides by 2

[tex] \frac{24}{2} = BF [/tex]

[tex] BF = 12 [/tex]

Answer:

Step-by-step explanation:

We will find the fourth root of both sides, which for x⁴ is simply going to be 4. For the other side, we will need to find the 4th root of 16. This can found in one of two ways.

Take the square root of 16, which and 4, and square root it again to get 2.

Use the calculator to find the 4th root of 16, which also comes out to be 2.

Answer:

10x-22

Step-by-step explanation:

collect like terms

Answer:

10x - 22

Step-by-step explanation:

Combine like terms

4x - 22 + 6x  = 4x + 6x - 22

                     = 10x - 22

Answer:

The answer is (2, 0).

I hope this helps!