Simply:
3 (2x - 2) -2 (x - 2)

A: 3x -3
B: 3x -4
C: 4x -2
D: 4x -4

93.06% of the race is longer than 236 minutes.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 310, σ = 50

For x > 236:

[tex]z=\frac{236-310}{50}=-1.48[/tex]

From the normal distribution table:

P(x > 236) = P(z > -1.48) = 1 - P(z < -1.48) = 1 - 0.0694 = 0.9306 =  93.06%

93.06% of the race is longer than 236 minutes.

Find out more on z score at: https://brainly.com/question/25638875

Answer: 25 units squared

Step-by-step explanation:

1) A square has 4 equal sides.

2) The area of a square is length x width.

3) Therefore, 5x5 = 25 units squared (area is always reported in units squared).

Answer:

(7,10)

Step-by-step explanation:

The x coordinate is the first coordinate, it is how far you go across

X = 7

The next coordinate is the y coordinate, it is how for you go up or down

y = 10

(7,10)

Answer:

12/13

Sine is opposite over hypotenuse. The opposite side of U is 12 and the hypotenuse is 13, so the answer is 12/13

Answer:

Step-by-step explanation:

each zero of the function will have a factor of (x - x₀)

h(x) = a(x + 3)(x + 2)(x - 1)

h(x) = a(x + 3)(x² + x - 2)

h(x) = a(x³ + 4x² + x - 6)

or the third option works if a = 1

however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2

h(x) = -2x³ - 8x² - 2x + 12

to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a partial set of solution sets

Answer:

a. Write an equation that represents the amount of cleaner in the tank after x minutes

y= -4x + 128

b. How much cleaner is in the tank when the cleaning begins?

128

c. After how many minutes is the tank empty?

The tank is empty in 32 minutes

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

For this problem, we consider that we want it to be within 4%.

Item a:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2[/tex]

[tex]n = 600.25[/tex]

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is [tex]\pi = 0.96[/tex], hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2[/tex]

[tex]n = 92.2[/tex]

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to [tex]\pi = 0.5[/tex], the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

Answer:

The SUV can run 204 miles with half a gas of tank.

Step-by-step explanation:

Divide 17 by 2=8.5 gallons

Then do the formula for distance which is:

miles per gallon times gallon

24 times 8.5 would be 204

204 is your answer :3

Answer:

Step-by-step explanation:

A + B = 90

A/6(15.25) = 3B/4

61A/18 = B

18A/18 + 61A/18 = 90

A = 90(18)/79

A = 20 40/79°

B = 90 -A = 69 39/79°

Answer: The answer is seventeen

Step-by-step explanation:

i just answered this question

Answer:

y = -2/7x - 32/7

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -2/7

y = -2/7 x+b

We know a point on the line is (5,-6)

Substitute this into the equation

-6 = -2/7(5) +b

-6 = -10/7+b

Add 10/7 to each side

-6 +10/7 = b

-42/7 + 10/7 = b

-32/7 = b

y = -2/7x  -32/7

Answer:

I think its 86

Step-by-step explanation:

As the two lines going in the same direction are parallel and angles within parallel lines add to 180.

so 180-94=86

[tex]y = x + 4[/tex]

Step-by-step explanation:

Let [tex]P_1(-1, 3)[/tex] and [tex]P_2(0, 4)[/tex] and solve for the slope using the equation

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 3}{0 - (-1)} = 1[/tex]

Therefore, the general slope-intercept form of the equation of the line is

[tex]y = x + b[/tex]

where b is a constant. To solve for it, let's use one of the points. I'll use P2:

[tex]4 = (0) + b \Rightarrow b = 4[/tex]

Therefore, the slope-intercept form of the equation of the line is

[tex]y = x + 4[/tex]

Answer:

boom bam ba boom bam ba

Answer: -3/4

Step-by-step explanation:

The y value is decreasing by -0.75

-3.75 - 0.75 = -4.5

-4.5 - 0.75 = -5.25

-5.25 - 0.75 = -6

ect.

-0.75 in fraction form is -3/4

Answer:

Add 2/3

Step-by-step explanation:

2/3 + 2/3 = 4/3 + 2/3 = 6/3 (or 2) + 2/3 = 8/3 +2/3 = 10/3