A tank is filling up with water at a rate of 3 gallons per minute. The tank already had 5 gallons in it before it started being filled. What is the starting amount of the water tank?

Answer:

A) slope = p/q

Step-by-step explanation:

Slope of any given can be found using the formula, [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex].

In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.

This means, slope of line AB would be:

[tex] \frac{rise}{run} = \frac{m}{n} = \frac{p}{q}

[/tex].

✅Therefore, slope of line AB = p/q

Answer:

9

Step-by-step explanation:

The 4 angles inside EVERY 4-sided figure ALWAYS add up to 360 degrees.

Now you have been found !

Answer:

y=2x

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

y = 4x + 21

y = 4 x 5 + 21

y = 20 + 21

y = 41

Answer:

The answer is 41

y=4x+21

Step-by-step explanation:

y=4x+21

y=4(5)+21

y=20+21

y=41

Answer:

C

Step-by-step explanation:

Lines that are parallel AND have different y-intercepts will never intersect each other, therefore will have no solutions.

The only correct choice is C as the lines are parallel and have different y-intercepts which means they'll never intersect each other. All the other choices will have their lines intersect each other at some point.

Answer:

A) α = 0.04136

B) β = 0.00256

Step-by-step explanation:

We are given;

Sample size; n = 400

Proportion; p = 60% = 0.6

Formula for mean is;

μ = np

μ = 400 × 0.6 = 240

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.6 = 0.4

σ = √(400 × 0.6 × 0.4)

σ = √96

σ = 9.8

A) our null hypothesis is at p = 0.6

Probability of making a type I error means we reject the null hypothesis when it is true.

This can be expressed in reference to the question as;

α = P(x < 220) + P(x > 260) all at p = 0.6

Now,

P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04

Also;

P(x > 260) = z = (260 - 240)/9.8 = 2.04

Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.

Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068

Thus;

α = 0.02068 + 0.02068

α = 0.04136

B) Type II error occurs when we fail to reject the null hypothesis even though it's false.

In this case our alternative hypothesis is at p = 48% = 0.48

Thus;

μ = np

μ = 400 × 0.48 = 192

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.48 = 0.52

σ = √(400 × 0.48 × 0.52)

σ = √99.84

σ = 9.992

Type II error would be given by;

β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]

β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]

β = (2.8 < z > 6.81)

Rearranging this gives us;

β = P(z < 6.81) - P(z < 2.8)

From z-distribution tables, we have;

β = 1 - 0.99744

β = 0.00256

In this exercise, we have to calculate the gasoline rates, and the answer will be:

A)[tex]\alpha= 0.04136[/tex]

B)[tex]\beta= 0.00256[/tex]

We are given that the sample size; n = 400, proportion; p = 60% = 0.6 so the formula for mean is;

[tex]\mu= np\\\mu=(400)(0.6)= 240[/tex]

Standard deviation is given by;

[tex]\sigma= \sqrt{npq}[/tex]

Where:

[tex]q = 1 \\p= 0.6\\q-p=0.4[/tex]

[tex]\sigma= \sqrt{(400)(0.6)(0.4)} \\=\sqrt{96} = 9.8[/tex]

A)Our null hypothesis is at p = 0.6. Probability of making a type I error means we reject the null hypothesis when it is true. This can be expressed in reference to the question as:

[tex]\alpha= P(x<220)+P(x>260)[/tex]

Now,

[tex]P(x < 220) = z = (x^-- \mu)/\sigma = (220 - 240)/9.8 = -2.04\\P(x > 260) = z = (260 - 240)/9.8 = 2.04[/tex]

Now, from z-distribution table probability of a z-score of -2.04 is 0.02068. Also, probability of z-score of 2.04 is:

[tex](1 - P(z < 2.04) = 1 - 0.97932 = 0.02068[/tex]

Thus;

[tex]\alpha= 0.02068+0.02068\\\alpha= 0.04136[/tex]

B) Type II error occurs when we fail to reject the null hypothesis even though it's false. In this case our alternative hypothesis is at p = 48% = 0.48. Thus:

[tex]\mu= np\\\mu= (400)(0.48)=192[/tex]

Standard deviation is given by;

[tex]\sigma= \sqrt{npq} \\=\sqrt{(400)(0.48)(0.52)} = 9.992[/tex]

Type II error would be given by:

[tex]\beta= [((x^{-1} - \mu)/\sigma) < z > ((x^{-2} - \mu)/\sigma)]\\= [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]\\= \beta = (2.8 < z > 6.81)\\[/tex]

Rearranging this gives us:

[tex]\beta = P(z < 6.81) - P(z < 2.8)\\= 0.00256[/tex]

See more about statistics at : brainly.com/question/7412334

Answer:

485

Step-by-step explanation:

500/100=5

5*3=15

500-15=485

Hope this helps;)

Answer:

485

Step-by-step explanation:

Answer:

(f + g)(x) means f(x) + g(x)

General Formulas and Concepts:

Alg I

Alg II

Step-by-step explanation:

(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.

Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.

Answer:

Y then X

Step-by-step explanation:

cause I know

Answer: C bc i think

Answer:

The tower is 48 ft tall.

Step-by-step explanation:

Refer to the figure attached.

Triangle ACD is similar to triangle BCE.

This means the proportion to some sides is the same, for example:

[tex]\displaystyle \frac{CE}{CD}=\frac{BE}{H}[/tex]

Substituting the values:

[tex]\displaystyle \frac{8}{64}=\frac{6}{H}[/tex]

Multiplying by 64H:

[tex]8H=64*6[/tex]

Dividing by 8:

[tex]H=64*6/8=48[/tex]

The tower is 48 ft tall.

Answer:

they want more attention than they already have,or they think its funny

Step-by-step explanation:

Answer:

It seems like most people joke about depression for attention.

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

go submit it

Answer:

(3,-4)

Step-by-step explanation:

because the two lines meet at that point.

Answer:

F

Step-by-step explanation:

The median is always the letter in the middle

Answer:

The perimeter of the small square is approximately 9.154 units

Step-by-step explanation:

The given parameters are;

The sides of the four identical right triangles = 5·x, 12·x, and 13·x,

The perimeter of the large square = 17 units

Therefore, we have;

The hypotenuse side of the right triangles = The longest side = 13·x

The sides of the large square are formed by the hypotenuse sides of the right triangle

Therefore, the perimeter of the large square = 4 × 13·x = 52·x = 17 units

x = 17/52 ≈ 0.3269

x ≈ 0.3269 units

The sides of the small square = The difference between the longer and the shorter of the two legs = 12·x - 5·x = 7·x

∴ The sides of the small square = 7·x = (7 ×  0.3269) units ≈ 2.2885 units

The perimeter of the small square = 4 × The sides of the small square

The perimeter of the small square ≈ (4 × 2.2885) units ≈ 9.154 units

The perimeter of the small square ≈ 9.154 units.

Answer:

A very common way to transform a polynomial equation in standard form is usually by writing a polynomial in its standard form.

This is mainly achieved by checking the degree of the terms involved and writing them in the order of degree which should follow the pattern of from highest to lowest, left to right.

Answer:

150

Step-by-step explanation:

I hope this helps!

Answer:

C. The domain is greater than -3 and less than 7.

Step-by-step explanation:

Just like the other one

x is domain

< = less than

≤ = less than or equal to

Answer:

c

Step-by-step explanation:

should b. cause most true usagw 'the domain'

good luck

Answer:

Girls in Mr. Chang's class: 28 - 21 ; # girl students = # total students - # boy students ; 7 girl students.

Boys in Mr. Chang's class: 28 - 7 ; # boy students = # total students - girl students ; 21 boy students.

Answer:    I think it's A. But I'm not entirely sure,

Step-by-step explanation:

Answer:

its y=2x + 5

explanation:

I took the test and got it right

both angle are equal

DCB is equals to FCA

Answer:

0.16/8.5

Step-by-step explanation:

so to get the slope use (Y2-Y1) over (X2-X1)

this means that the formula is

1/2-1/3

---------

25.5- 17

Answer:

120 miles in 2 hours

Step-by-step explanation:

120 = 60(2)

Answer:

I can't see the picture, sorry. :(

Step-by-step explanation:

Answer:

y=3/4x-5.5

Step-by-step explanation:

y=mx+b

B=starting point 5.5

x= variable

M=slope 3/4

Answer:

y=4x+4

Step-by-step explanation:

The equation for the slope-intercept form is y=mx+b. m is the slope and b is the y-intercept. To find the slipe we can use the equation m=y2-y1/x2-x1, next decide which one you want as x1,y1, and which one as x2,y2 (doesn't really matter which one you choose.) I then plugged in my value and got the equation -8-4/-3-0=m=4. so far we have y=4x+b. b is our y-intercept which they already have us, which is 4 so we just have to plug it in and get our answer y=4x+4.

Hope this helps you

Answer:

I would love to help you because you are my favorite follower. But I do not know the answer. Sorry I feel very guilty

Answer:

Step-by-step explanation: